diff --git a/README.md b/README.md
index 02c95693..16855c10 100644
--- a/README.md
+++ b/README.md
@@ -45,7 +45,7 @@ npm run build        # writes dist/ and regenerates index.html; the folder is wh
 The browser suite and the three example games need a machine with a GPU:
 
 ```bash
-node tools/seed-e2e.mjs && node tools/e2e.mjs      # the editor, 1648 checks (GM_STEPS=20 for one step)
+node tools/seed-e2e.mjs && node tools/e2e.mjs      # the editor, 1656 checks (GM_STEPS=20 for one step)
                                                    #   every tool signs in first – see the Accounts page
 node tools/seed-jumprun.mjs && node tools/smoke-jumprun.mjs
 node tools/seed-tetris.mjs && node tools/smoke-tetris.mjs
diff --git a/src/editor/DocumentTab.ts b/src/editor/DocumentTab.ts
index 37ac7b52..d32aaa3c 100644
--- a/src/editor/DocumentTab.ts
+++ b/src/editor/DocumentTab.ts
@@ -1,5 +1,5 @@
-import { CanvasTextMetrics, type FederatedPointerEvent, Rectangle, Text } from 'pixi.js';
-import { centreY, Theme, textStyle } from '../ui';
+import { CanvasTextMetrics, type FederatedPointerEvent, Rectangle, type Text } from 'pixi.js';
+import { centreY, Theme, textStyle, crispText } from '../ui';
 import { TabButton } from './TabButton';
 
 const GAP = 4;
@@ -24,7 +24,7 @@ export class DocumentTab extends TabButton {
     private readonly onClose: () => void,
   ) {
     super(label, { align: 'left', icon, onClick: onPick });
-    this.closeText = new Text({ text: CLOSE, style: textStyle('muted') });
+    this.closeText = crispText({ text: CLOSE, style: textStyle('muted') });
     this.closeText.eventMode = 'static';
     this.closeText.cursor = Theme.hoverCursor;
     // Stopped on the way down as well, or the tab under it would count the press as its own click.
diff --git a/src/editor/FilePicker.ts b/src/editor/FilePicker.ts
index 8f0c4e01..938b0ed8 100644
--- a/src/editor/FilePicker.ts
+++ b/src/editor/FilePicker.ts
@@ -7,7 +7,7 @@
  * The list differs per kind (tiles for pictures, rows with a sample line for typefaces, rows with a
  * ▶ for sounds); the dialog around it does not.
  */
-import { type Container, type FederatedPointerEvent, type Graphics, Text } from 'pixi.js';
+import type { Container, FederatedPointerEvent, Graphics, Text } from 'pixi.js';
 import type { AssetType } from '../core/model/AssetTypes';
 import type { Project } from '../core/model/Project';
 import type { StoredFile } from '../core/store/FileStore';
@@ -22,6 +22,7 @@ import {
   Theme,
   textStyle,
   Widget,
+  crispText,
 } from '../ui';
 import { dialogButtons } from './FormDialog';
 
@@ -66,7 +67,7 @@ export abstract class PickerList<Item extends PickerItem, Row extends PickerRow>
   protected items: Item[] = [];
   protected rows: Row[] = [];
   private selectedFile: string | null = null;
-  private readonly empty = new Text({ text: '', style: textStyle('muted') });
+  private readonly empty = crispText({ text: '', style: textStyle('muted') });
   private readonly unwatch: (() => void)[] = [];
   onPick?: (file: string) => void;
   onActivate?: (file: string) => void;
diff --git a/src/editor/TabStrip.ts b/src/editor/TabStrip.ts
index 9f54babd..5f01e5ad 100644
--- a/src/editor/TabStrip.ts
+++ b/src/editor/TabStrip.ts
@@ -1,5 +1,5 @@
 import { Graphics } from 'pixi.js';
-import { Button, HStack, Menu, Theme } from '../ui';
+import { Button, crisp, hairline, HStack, Menu, Theme } from '../ui';
 import { DocumentTab } from './DocumentTab';
 import { TabButton } from './TabButton';
 import { tabRowLayout } from './tabRow';
@@ -44,7 +44,7 @@ export class TabStrip<T extends string> extends HStack {
   private readonly icons = new Map<T, string>();
   private readonly overflow: Button;
   /** The bar the cards sit on, drawn behind every tab. */
-  private readonly bar = new Graphics();
+  private readonly bar = crisp(new Graphics());
   private hiddenTabs: T[] = [];
   private active: T | null;
 
@@ -165,7 +165,7 @@ export class TabStrip<T extends string> extends HStack {
     this.bar.clear();
     this.bar.rect(0, 0, this.w, this.h).fill(c.tabBar);
     // The line the cards stand on; the one showing covers its own stretch of it.
-    this.bar.rect(0, this.h - 1, this.w, 1).fill(c.border);
+    this.bar.rect(0, this.h - hairline(), this.w, hairline()).fill(c.border);
   }
 
   private applyOverflow(): void {
diff --git a/src/editor/animation/TimelineCanvas.ts b/src/editor/animation/TimelineCanvas.ts
index 5f6b4798..0e50b14f 100644
--- a/src/editor/animation/TimelineCanvas.ts
+++ b/src/editor/animation/TimelineCanvas.ts
@@ -1,4 +1,10 @@
-import { Container, type FederatedPointerEvent, type FederatedWheelEvent, Graphics, Text } from 'pixi.js';
+import {
+  Container,
+  type FederatedPointerEvent,
+  type FederatedWheelEvent,
+  Graphics,
+  type Text,
+} from 'pixi.js';
 import {
   clipboardKeyCount,
   copyAnimationKeys,
@@ -24,7 +30,18 @@ import {
 import type { AnimationAsset, AnimationTrack, KeyInterpolation } from '../../core/model/Asset';
 import type { Vec2 } from '../../core/model/Properties';
 import { findAssetOf } from '../../core/model/Project';
-import { drawBand, Menu, pressCount, type Size, Theme, textStyle, ui, Widget, zoomFactor } from '../../ui';
+import {
+  drawBand,
+  Menu,
+  pressCount,
+  type Size,
+  Theme,
+  textStyle,
+  ui,
+  Widget,
+  zoomFactor,
+  crispText,
+} from '../../ui';
 import { type EditorState, trackSelection } from '../state';
 import { FramesDialog, openFramesDialog } from './FramesDialog';
 import {
@@ -87,7 +104,7 @@ export class TimelineCanvas extends Widget {
   private readonly rulerLayer = new Container();
   private readonly labels = new Map<string, Text>();
   private readonly rulerTexts: Text[] = [];
-  private readonly hint = new Text({ text: '', style: textStyle('muted') });
+  private readonly hint = crispText({ text: '', style: textStyle('muted') });
   private readonly clip = new Graphics();
   private view: TimelineView = { ...DEFAULT_VIEW };
   private assetId = '';
@@ -604,7 +621,7 @@ export class TimelineCanvas extends Widget {
       this.cells.rect(x, RULER_HEIGHT - 6, 1, 6).fill(c.textMuted);
       let text = this.rulerTexts[used];
       if (!text) {
-        text = new Text({ style: textStyle('small') });
+        text = crispText({ style: textStyle('small') });
         this.rulerTexts.push(text);
         this.rulerLayer.addChild(text);
       }
@@ -667,7 +684,7 @@ export class TimelineCanvas extends Widget {
       alive.add(track.id);
       let label = this.labels.get(track.id);
       if (!label) {
-        label = new Text({ style: textStyle('body') });
+        label = crispText({ style: textStyle('body') });
         this.labels.set(track.id, label);
         this.labelLayer.addChild(label);
       }
diff --git a/src/editor/curve/CurveCanvas.ts b/src/editor/curve/CurveCanvas.ts
index 11c6c3d8..f0ab50cd 100644
--- a/src/editor/curve/CurveCanvas.ts
+++ b/src/editor/curve/CurveCanvas.ts
@@ -8,13 +8,13 @@
  * what a key or a `Lerp` reads. A dot runs along it as a preview, and a second one beside the graph
  * moves only up and down – the motion the curve gives a value.
  */
-import { type FederatedPointerEvent, Graphics, Text } from 'pixi.js';
+import { type FederatedPointerEvent, Graphics, type Text } from 'pixi.js';
 import { SetCurvePointsCommand } from '../../core/commands/curveCommands';
 import type { CurveAsset, VectorPoint, VectorRing } from '../../core/model/Asset';
 import { curveExtent, curveValue, sanitizedCurve } from '../../core/model/curve';
 import { findAssetOf } from '../../core/model/Project';
 import type { Vec2 } from '../../core/model/Properties';
-import { cancelFrameWork, onFrame, pressCount, Theme, textStyle } from '../../ui';
+import { cancelFrameWork, onFrame, pressCount, Theme, textStyle, crispText } from '../../ui';
 import { FramePreview } from '../framePreview';
 import { deleteTakes, pickedIn, pointPress } from '../pointGestures';
 import { DRAG_THRESHOLD, drawPointGrip, POINT_SIZE } from '../pointGrips';
@@ -75,7 +75,9 @@ export class CurveCanvas extends SheetCanvas<CurveAsset> {
   private readonly guides = new Graphics();
   private readonly line = new Graphics();
   private readonly overlay = new Graphics();
-  private readonly labels = ['0', '1', '0', '1'].map((text) => new Text({ text, style: textStyle('muted') }));
+  private readonly labels = ['0', '1', '0', '1'].map((text) =>
+    crispText({ text, style: textStyle('muted') }),
+  );
   private drag: CurveDrag | null = null;
   /** The point last pressed or put down – the one the header's point type is about; -1 for none. */
   private picked = -1;
diff --git a/src/editor/debug/renderHooks.ts b/src/editor/debug/renderHooks.ts
index 74b1492a..675c0bfc 100644
--- a/src/editor/debug/renderHooks.ts
+++ b/src/editor/debug/renderHooks.ts
@@ -1,18 +1,59 @@
 import { type FrameRect, isTextureFile, resolvePicture } from '../../core/model/texture';
 import { effectiveScale, gameClock } from '../../core/time';
-import { afterFrames, isRendering, renderCount, requestRender, stagePixel, stagePixels } from '../../ui';
+import {
+  afterFrames,
+  hairline,
+  isRendering,
+  renderCount,
+  requestRender,
+  stagePixel,
+  stagePixels,
+} from '../../ui';
 import { particleLibrary } from '../../viewport/ParticleLibrary';
 import { shaderLibrary } from '../../viewport/ShaderLibrary';
 import { textureLibrary } from '../../viewport/TextureLibrary';
 import { type Container, Mesh } from 'pixi.js';
 import type { HookContext } from './hookHelpers';
+import { edgeContrast } from './sharpness';
 
 /** What was really drawn, and the clocks behind it: pixels, textures, frames, shaders and particles. */
 export function renderHooks({ app, state, editor }: HookContext) {
   const { viewport, gameView } = editor;
   const pixelAt = (x: number, y: number): string => stagePixel(app, x, y);
+  /**
+   * A part of the frame as the screen gets it, device pixel for device pixel. `pixelAt` cannot say
+   * that: it draws the stage again into a target of its own, at the layout's size.
+   */
+  const deviceFrame = (x: number, y: number, w: number, h: number): ImageData => {
+    const res = app.renderer.resolution;
+    const [sx, sy, sw, sh] = [x, y, w, h].map((v) => Math.round(v * res)) as [number, number, number, number];
+    const copy = document.createElement('canvas');
+    copy.width = Math.max(1, sw);
+    copy.height = Math.max(1, sh);
+    const context = copy.getContext('2d')!;
+    // In one go with the render: the drawing buffer is only promised to hold the frame until the task ends.
+    app.render();
+    context.drawImage(app.canvas, sx, sy, copy.width, copy.height, 0, 0, copy.width, copy.height);
+    return context.getImageData(0, 0, copy.width, copy.height);
+  };
   return {
     pixelAt,
+    /** The grid the interface rounds to: device pixels per layout pixel, and what a hairline measures. */
+    pixelGrid: () => ({ resolution: app.renderer.resolution, hairline: hairline() }),
+    /** How hard the edges are in a rectangle of the screen, given in layout pixels – see `edgeContrast`. */
+    edgeContrast: (x: number, y: number, w: number, h: number) => {
+      const frame = deviceFrame(x, y, w, h);
+      return edgeContrast(frame.data, frame.width, frame.height);
+    },
+    /** The device pixels down one column, from layout `y` over `h`, as `#rrggbb`. */
+    deviceColumn: (x: number, y: number, h: number) => {
+      const { data, height } = deviceFrame(x, y, 1 / app.renderer.resolution, h);
+      const hex = (v: number | undefined) => (v ?? 0).toString(16).padStart(2, '0');
+      return Array.from(
+        { length: height },
+        (_, row) => `#${hex(data[row * 4])}${hex(data[row * 4 + 1])}${hex(data[row * 4 + 2])}`,
+      );
+    },
     /** Many points from one render, each the colour `pixelAt` would give – for checks that sample hundreds. */
     pixels: (points: readonly { x: number; y: number }[]) => stagePixels(app, points),
     /**
diff --git a/src/editor/debug/sharpness.ts b/src/editor/debug/sharpness.ts
new file mode 100644
index 00000000..ec73e282
--- /dev/null
+++ b/src/editor/debug/sharpness.ts
@@ -0,0 +1,25 @@
+/**
+ * How hard the edges in a picture are: the mean jump in brightness between neighbours, over the
+ * pixels that have one at all. Text and lines drawn between two device pixels are averaged across
+ * both and score lower – the one number that tells such a frame from a crisp one (see `pixelGrid.ts`).
+ */
+export function edgeContrast(rgba: ArrayLike<number>, width: number, height: number): number {
+  const lum = (x: number, y: number): number => {
+    const i = (y * width + x) * 4;
+    return 0.299 * (rgba[i] ?? 0) + 0.587 * (rgba[i + 1] ?? 0) + 0.114 * (rgba[i + 2] ?? 0);
+  };
+  let sum = 0;
+  let edges = 0;
+  for (let y = 0; y < height - 1; y++)
+    for (let x = 0; x < width - 1; x++) {
+      const here = lum(x, y);
+      const dx = Math.abs(lum(x + 1, y) - here);
+      const dy = Math.abs(lum(x, y + 1) - here);
+      sum += dx + dy;
+      if (dx > EDGE || dy > EDGE) edges += 1;
+    }
+  return edges ? sum / edges : 0;
+}
+
+/** Below this a difference is noise of the blending, not an edge. */
+const EDGE = 2;
diff --git a/src/editor/font/FontPicker.ts b/src/editor/font/FontPicker.ts
index 4be72135..a68f08d3 100644
--- a/src/editor/font/FontPicker.ts
+++ b/src/editor/font/FontPicker.ts
@@ -1,6 +1,6 @@
-import { Container, Graphics, Text, TextStyle } from 'pixi.js';
+import { Container, Graphics, type Text, TextStyle } from 'pixi.js';
 import type { StoredFont } from '../../core/store/FontStore';
-import { formatBytes, Theme, textStyle, truncate } from '../../ui';
+import { formatBytes, Theme, textStyle, truncate, crispText } from '../../ui';
 import { fontLibrary } from '../../viewport/FontLibrary';
 import {
   currentPicker,
@@ -41,8 +41,8 @@ class FontList extends RowList<FontItem, FontRow> {
     const background = new Graphics();
     // Its own style object, never `textStyle('body')`: those are shared across the whole editor,
     // so writing a family into one would restyle every label in the window.
-    const sample = new Text({ style: new TextStyle({ fontSize: SAMPLE_SIZE, fill: Theme.colors.text }) });
-    const caption = new Text({ style: textStyle('small') });
+    const sample = crispText({ style: new TextStyle({ fontSize: SAMPLE_SIZE, fill: Theme.colors.text }) });
+    const caption = crispText({ style: textStyle('small') });
     box.addChild(background, sample, caption);
     return { box, background, sample, caption };
   }
diff --git a/src/editor/font/FontPreview.ts b/src/editor/font/FontPreview.ts
index 2889af35..3253ce5b 100644
--- a/src/editor/font/FontPreview.ts
+++ b/src/editor/font/FontPreview.ts
@@ -1,5 +1,5 @@
-import { Text, TextStyle } from 'pixi.js';
-import { Theme, truncate, type Size, Widget } from '../../ui';
+import { TextStyle } from 'pixi.js';
+import { Theme, truncate, type Size, Widget, crispText } from '../../ui';
 import { fontLibrary } from '../../viewport/FontLibrary';
 
 const SAMPLE_SIZE = 26;
@@ -10,7 +10,7 @@ const SAMPLE_TEXT = 'Aa Bb Cc 0123';
  * hash. Reads in the editor's own typeface until the face has arrived, then redraws itself.
  */
 export class FontPreview extends Widget {
-  private readonly sample = new Text({
+  private readonly sample = crispText({
     style: new TextStyle({ fontSize: SAMPLE_SIZE, fill: Theme.colors.text }),
   });
   private readonly stopWatching: () => void;
diff --git a/src/editor/graph/AnnotationView.ts b/src/editor/graph/AnnotationView.ts
index 513e89ec..ec4388d7 100644
--- a/src/editor/graph/AnnotationView.ts
+++ b/src/editor/graph/AnnotationView.ts
@@ -1,6 +1,6 @@
-import { Graphics, Rectangle, Text, TextStyle } from 'pixi.js';
+import { Graphics, Rectangle, type Text, TextStyle } from 'pixi.js';
 import type { AnnotationKind, GraphAnnotation } from '../../core/graph';
-import { readableTextColor, Theme, truncate, Widget } from '../../ui';
+import { readableTextColor, Theme, truncate, Widget, crispText } from '../../ui';
 
 /** Height of a group's title bar – the same as a node's, so the two line up in the eye. */
 export const ANNOTATION_TITLE_HEIGHT = 24;
@@ -26,7 +26,7 @@ export class AnnotationView extends Widget {
   ) {
     super();
     this.addChild(this.box);
-    this.caption = new Text({ text: '', style: this.captionStyle(0xffffff) });
+    this.caption = crispText({ text: '', style: this.captionStyle(0xffffff) });
     this.caption.position.set(PAD, kind === 'group' ? 0 : PAD);
     this.addChild(this.caption);
     this.cursor = Theme.hoverCursor;
diff --git a/src/editor/graph/EdgeLayer.ts b/src/editor/graph/EdgeLayer.ts
index 80ec4285..c8a0611f 100644
--- a/src/editor/graph/EdgeLayer.ts
+++ b/src/editor/graph/EdgeLayer.ts
@@ -1,6 +1,6 @@
-import { Container, Graphics, Text } from 'pixi.js';
+import { Container, Graphics, type Text } from 'pixi.js';
 import { type GraphEdge, portsCompatible } from '../../core/graph';
-import { Theme, textStyle, truncate } from '../../ui';
+import { Theme, textStyle, truncate, crispText } from '../../ui';
 import { dashedLine } from '../../viewport/symbols';
 import {
   arrowCorners,
@@ -314,7 +314,7 @@ export class EdgeLayer extends Container {
   private nextLabel(): Text {
     let label = this.labels[this.labelCount];
     if (!label) {
-      label = new Text({ text: '', style: textStyle('small') });
+      label = crispText({ text: '', style: textStyle('small') });
       this.labels.push(label);
       this.labelLayer.addChild(label);
     }
diff --git a/src/editor/graph/GraphCanvas.ts b/src/editor/graph/GraphCanvas.ts
index 6e6c972e..6fb59d5a 100644
--- a/src/editor/graph/GraphCanvas.ts
+++ b/src/editor/graph/GraphCanvas.ts
@@ -1,4 +1,4 @@
-import { Container, type FederatedPointerEvent, type FederatedWheelEvent, Graphics, Text } from 'pixi.js';
+import { Container, type FederatedPointerEvent, type FederatedWheelEvent, Graphics } from 'pixi.js';
 import { textOf } from '../../core/model/Properties';
 import { AddNodeCommand, CollapseNodesCommand } from '../../core/commands/graphCommands';
 import { SetMachineStartCommand } from '../../core/commands/assetCommands';
@@ -42,6 +42,7 @@ import {
   truncate,
   Widget,
   zoomFactor,
+  crispText,
 } from '../../ui';
 import {
   annotationSelection,
@@ -104,7 +105,7 @@ export class GraphCanvas extends Widget {
   private readonly tempEdge = new Graphics();
   /** Drawn in screen space, so the band keeps a hairline border at any zoom. */
   private readonly band = new Graphics();
-  private readonly hint = new Text({ text: '', style: textStyle('muted') });
+  private readonly hint = crispText({ text: '', style: textStyle('muted') });
   private readonly views = new Map<string, NodeView>();
   private assetId = '';
   private pan = { x: 0, y: 0 };
diff --git a/src/editor/graph/NodeView.ts b/src/editor/graph/NodeView.ts
index b0357757..8ae2af7a 100644
--- a/src/editor/graph/NodeView.ts
+++ b/src/editor/graph/NodeView.ts
@@ -1,4 +1,4 @@
-import { CanvasTextMetrics, Graphics, Rectangle, Text } from 'pixi.js';
+import { CanvasTextMetrics, Graphics, Rectangle, type Text } from 'pixi.js';
 import {
   asNumber,
   asString,
@@ -20,7 +20,16 @@ import { FIRST_TILE_LAYER } from '../../core/model/liveTilemap';
 import type { Project } from '../../core/model/Project';
 import { isList, type PropertyValue } from '../../core/model/Properties';
 import type { PropertyDef } from '../../core/properties/PropertySchema';
-import { formatNumber, Theme, textStyle, type TextStyleToken, toHex, truncate, Widget } from '../../ui';
+import {
+  formatNumber,
+  Theme,
+  textStyle,
+  type TextStyleToken,
+  toHex,
+  truncate,
+  Widget,
+  crispText,
+} from '../../ui';
 import { keyLabel, referenceLabel } from '../inspector/fieldFactory';
 import { collapsedNodeWidth } from './folding';
 
@@ -275,7 +284,7 @@ export class NodeView extends Widget {
     for (const [key, value] of this.liveTexts) {
       const slot = this.valueSlots.get(key);
       if (!slot || slot.right - slot.left < 12) continue;
-      const text = new Text({ text: truncate(value, style, slot.right - slot.left), style });
+      const text = crispText({ text: truncate(value, style, slot.right - slot.left), style });
       text.position.set(slot.right - text.width, slot.top);
       this.addChild(text);
       this.valueTexts.set(key, text);
@@ -339,7 +348,7 @@ export class NodeView extends Widget {
       align: 'left' | 'right' = 'left',
       maxWidth = NODE_WIDTH - PAD * 2,
     ) => {
-      const node = new Text({ text: truncate(text, textStyle(style), maxWidth), style: textStyle(style) });
+      const node = crispText({ text: truncate(text, textStyle(style), maxWidth), style: textStyle(style) });
       node.position.set(align === 'left' ? x : x - node.width, y);
       this.addChild(node);
       this.texts.push(node);
diff --git a/src/editor/particles/ParticlePreview.ts b/src/editor/particles/ParticlePreview.ts
index e649f0a1..69392c34 100644
--- a/src/editor/particles/ParticlePreview.ts
+++ b/src/editor/particles/ParticlePreview.ts
@@ -5,7 +5,7 @@ import type { PropertyBag } from '../../core/model/Properties';
 import { resolveTexture } from '../../core/model/texture';
 import { defaultsFor } from '../../core/properties/PropertySchema';
 import { SHEET_EDGE } from '../../core/shader/nodes';
-import { type Size, Theme, Widget } from '../../ui';
+import { crisp, hairline, type Size, Theme, Widget } from '../../ui';
 import { ParticleField } from '../../viewport/particles';
 import { particleLibrary } from '../../viewport/ParticleLibrary';
 import { shaderLibrary } from '../../viewport/ShaderLibrary';
@@ -21,7 +21,7 @@ const MIN_HEIGHT = 40;
  * has no way to know which of them is meant.
  */
 export class ParticlePreview extends Widget {
-  private readonly bg = new Graphics();
+  private readonly bg = crisp(new Graphics());
   private readonly content = new Container();
   private readonly clip = new Graphics();
   private readonly field = new ParticleField();
@@ -80,7 +80,7 @@ export class ParticlePreview extends Widget {
     // A ground of its own and a rule along the top: on the graph's own background the strip was
     // invisible as a thing, and a particle standing still read as a node that had lost its box.
     this.bg.clear().rect(0, 0, this.w, this.h).fill(c.panel);
-    this.bg.rect(0, 0, this.w, 1).fill(c.border);
+    this.bg.rect(0, 0, this.w, hairline()).fill(c.border);
     this.clip.clear().rect(0, 0, this.w, this.h).fill(0xffffff);
     this.field.container.visible = this.asset !== null;
     if (!this.asset) return;
diff --git a/src/editor/shader/ShaderPreview.ts b/src/editor/shader/ShaderPreview.ts
index 6e107e36..da0e68a1 100644
--- a/src/editor/shader/ShaderPreview.ts
+++ b/src/editor/shader/ShaderPreview.ts
@@ -3,7 +3,7 @@ import type { ShaderAsset } from '../../core/model/Asset';
 import type { PropertyBag } from '../../core/model/Properties';
 import { SHADER_KEY } from '../../core/properties/shaders';
 import { type EdgeMode, SHEET_EDGE } from '../../core/shader/nodes';
-import { type Size, Theme, Widget } from '../../ui';
+import { crisp, hairline, type Size, Theme, Widget } from '../../ui';
 import { shaderLibrary } from '../../viewport/ShaderLibrary';
 import { syncShader } from '../../viewport/shaders';
 import { disposeSpriteMesh, newSpriteMesh } from '../../viewport/symbols';
@@ -21,7 +21,7 @@ const MAX_ZOOM = 8;
  * The shader is the scene's own (`syncShader`), so what the panel shows is what a sprite would.
  */
 export class ShaderPreview extends Widget {
-  private readonly bg = new Graphics();
+  private readonly bg = crisp(new Graphics());
   private readonly content = new Container();
   private readonly clip = new Graphics();
   private readonly mesh = newSpriteMesh();
@@ -87,7 +87,7 @@ export class ShaderPreview extends Widget {
   override redraw(): void {
     const c = Theme.colors;
     this.bg.clear().rect(0, 0, this.w, this.h).fill(c.panel);
-    this.bg.rect(0, 0, this.w, 1).fill(c.border);
+    this.bg.rect(0, 0, this.w, hairline()).fill(c.border);
     this.clip.clear().rect(0, 0, this.w, this.h).fill(0xffffff);
     this.mesh.visible = this.shader !== null;
     if (!this.shader) return;
diff --git a/src/editor/sound/SoundPicker.ts b/src/editor/sound/SoundPicker.ts
index 3230e552..833ad6a7 100644
--- a/src/editor/sound/SoundPicker.ts
+++ b/src/editor/sound/SoundPicker.ts
@@ -1,6 +1,6 @@
-import { Container, type FederatedPointerEvent, Graphics, Text } from 'pixi.js';
+import { Container, type FederatedPointerEvent, Graphics, type Text } from 'pixi.js';
 import type { StoredSound } from '../../core/store/SoundStore';
-import { drawSvg, formatBytes, textStyle, Theme, truncate } from '../../ui';
+import { drawSvg, formatBytes, textStyle, Theme, truncate, crispText } from '../../ui';
 import { soundLibrary } from '../../viewport/SoundLibrary';
 import {
   currentPicker,
@@ -48,8 +48,8 @@ class SoundList extends RowList<SoundItem, SoundRow> {
     const background = new Graphics();
     const play = new Graphics();
     drawSvg(play, TOOLBAR_ICON_SVG.play, Theme.colors.accentText);
-    const caption = new Text({ style: textStyle('body') });
-    const detail = new Text({ style: textStyle('small') });
+    const caption = crispText({ style: textStyle('body') });
+    const detail = crispText({ style: textStyle('small') });
     box.addChild(background, play, caption, detail);
     return { box, background, play, caption, detail };
   }
diff --git a/src/editor/texture/ImagePicker.ts b/src/editor/texture/ImagePicker.ts
index 1a353bc0..c9db93e1 100644
--- a/src/editor/texture/ImagePicker.ts
+++ b/src/editor/texture/ImagePicker.ts
@@ -1,6 +1,6 @@
-import { Container, Graphics, Sprite, Text } from 'pixi.js';
+import { Container, Graphics, Sprite } from 'pixi.js';
 import type { StoredTexture } from '../../core/store/TextureStore';
-import { formatBytes, type Size, textStyle, truncate } from '../../ui';
+import { formatBytes, type Size, textStyle, truncate, crispText } from '../../ui';
 import { textureLibrary } from '../../viewport/TextureLibrary';
 import {
   currentPicker,
@@ -63,7 +63,7 @@ class ImageGrid extends PickerList<ImageItem, Tile> {
     const box = new Container();
     const background = new Graphics();
     const sprite = new Sprite();
-    const caption = new Text({ style: textStyle('small') });
+    const caption = crispText({ style: textStyle('small') });
     box.addChild(background, sprite, caption);
     return { box, background, sprite, caption };
   }
diff --git a/src/editor/texture/SheetCanvas.ts b/src/editor/texture/SheetCanvas.ts
index 22cc7428..cc5e11fe 100644
--- a/src/editor/texture/SheetCanvas.ts
+++ b/src/editor/texture/SheetCanvas.ts
@@ -1,6 +1,6 @@
-import { Container, type FederatedPointerEvent, type FederatedWheelEvent, Graphics, Text } from 'pixi.js';
+import { Container, type FederatedPointerEvent, type FederatedWheelEvent, Graphics } from 'pixi.js';
 import type { Vec2 } from '../../core/model/Properties';
-import { type Size, Theme, textStyle, ui, Widget, zoomFactor } from '../../ui';
+import { type Size, Theme, textStyle, ui, Widget, zoomFactor, crispText } from '../../ui';
 import { imageToLocal, type SheetView, zoomAbout } from './sheetView';
 
 /**
@@ -14,7 +14,7 @@ export abstract class SheetCanvas<A> extends Widget {
   /** Everything the view moves; the checker board is its bottom layer. */
   protected readonly content = new Container();
   protected readonly checker = new Graphics();
-  protected readonly hint = new Text({ text: '', style: textStyle('muted') });
+  protected readonly hint = crispText({ text: '', style: textStyle('muted') });
   protected readonly clip = new Graphics();
   protected view: SheetView = { panX: 0, panY: 0, zoom: 1 };
   protected assetId = '';
diff --git a/src/editor/texture/TextureCanvas.ts b/src/editor/texture/TextureCanvas.ts
index 1e2f07d4..94fb2234 100644
--- a/src/editor/texture/TextureCanvas.ts
+++ b/src/editor/texture/TextureCanvas.ts
@@ -1,4 +1,4 @@
-import { Container, type FederatedPointerEvent, Graphics, Sprite, Text } from 'pixi.js';
+import { Container, type FederatedPointerEvent, Graphics, Sprite, type Text } from 'pixi.js';
 import {
   AddFrameCommand,
   SetFrameCollisionCommand,
@@ -25,7 +25,7 @@ import {
   setFrameSlice,
   setFrameSortLine,
 } from '../../core/model/texture';
-import { pressCount, Theme, textStyle, type Widget } from '../../ui';
+import { pressCount, Theme, textStyle, type Widget, crispText } from '../../ui';
 import {
   gripAt,
   insideOutline,
@@ -885,7 +885,7 @@ export class TextureCanvas extends SheetCanvas<TextureAsset> {
       return;
     }
     if (!label) {
-      label = new Text({ style: textStyle('viewportLabel') });
+      label = crispText({ style: textStyle('viewportLabel') });
       this.labels.set(frame.id, label);
       this.labelLayer.addChild(label);
     }
diff --git a/src/editor/tile/TileCanvas.ts b/src/editor/tile/TileCanvas.ts
index 9065d547..0ae67c31 100644
--- a/src/editor/tile/TileCanvas.ts
+++ b/src/editor/tile/TileCanvas.ts
@@ -1,4 +1,4 @@
-import { Container, Graphics, Sprite, Text, type TextStyle } from 'pixi.js';
+import { Container, Graphics, Sprite, type Text, type TextStyle } from 'pixi.js';
 import type { TileAsset } from '../../core/model/Asset';
 import {
   autotileCombinations,
@@ -19,7 +19,7 @@ import {
   tilePlayback,
 } from '../../core/model/tile';
 import { findAssetOf } from '../../core/model/Project';
-import { type Size, Theme, textStyle, ui, Widget } from '../../ui';
+import { type Size, Theme, textStyle, ui, Widget, crispText } from '../../ui';
 import { textureLibrary } from '../../viewport/TextureLibrary';
 import { nearestZoomStep, stepFreeZoom, wheelSteps, zoomStepBelow } from '../../viewport/view';
 import type { Point } from '../framing';
@@ -77,7 +77,7 @@ export class TileCanvas extends Widget {
   private readonly captionLayer = new Container();
   private readonly clipped = new Container();
   private readonly clip = new Graphics();
-  private readonly hint = new Text({ text: '', style: textStyle('muted') });
+  private readonly hint = crispText({ text: '', style: textStyle('muted') });
   private readonly tiles: BoardTile[] = [];
   private readonly captions: Caption[] = [];
   /** Own copies, since the size follows the zoom here and nowhere else. */
@@ -421,9 +421,9 @@ export class TileCanvas extends Widget {
   /** `NESW-ne,se` becomes two lines, so the long captions need no more width than a tile. */
   private addCaption(label: string, x: number, y: number): void {
     const [sides = label, notches] = label.split('-');
-    const sidesText = new Text({ text: sides, style: this.sidesStyle, anchor: { x: 0.5, y: 0 } });
+    const sidesText = crispText({ text: sides, style: this.sidesStyle, anchor: { x: 0.5, y: 0 } });
     const notchesText = notches
-      ? new Text({ text: notches, style: this.notchesStyle, anchor: { x: 0.5, y: 0 } })
+      ? crispText({ text: notches, style: this.notchesStyle, anchor: { x: 0.5, y: 0 } })
       : null;
     this.captionLayer.addChild(sidesText);
     if (notchesText) this.captionLayer.addChild(notchesText);
diff --git a/src/editor/tile/TilePalette.ts b/src/editor/tile/TilePalette.ts
index 020a315a..0b14d43a 100644
--- a/src/editor/tile/TilePalette.ts
+++ b/src/editor/tile/TilePalette.ts
@@ -1,4 +1,4 @@
-import { Container, type FederatedPointerEvent, Graphics, Sprite, Text } from 'pixi.js';
+import { Container, type FederatedPointerEvent, Graphics, Sprite, type Text } from 'pixi.js';
 import { loneTileQuadrants } from '../../core/model/autotile';
 import { findAssetOf } from '../../core/model/Project';
 import { quadrantRef, readTile } from '../../core/model/tile';
@@ -11,6 +11,7 @@ import {
   textStyle,
   truncate,
   Widget,
+  crispText,
 } from '../../ui';
 import { textureLibrary } from '../../viewport/TextureLibrary';
 import { gridMetrics, type GridMetrics, tileAt, tileRect } from '../texture/imageGrid';
@@ -187,8 +188,8 @@ export class TilePalette extends Widget {
     const box = new Container();
     const background = new Graphics();
     const sprites = [new Sprite(), new Sprite(), new Sprite(), new Sprite()] as Swatch['sprites'];
-    const empty = new Text({ text: '?', style: textStyle('muted') });
-    const caption = new Text({ style: textStyle('small') });
+    const empty = crispText({ text: '?', style: textStyle('muted') });
+    const caption = crispText({ style: textStyle('small') });
     box.addChild(background, ...sprites, empty, caption);
     box.eventMode = 'none';
     this.addChild(box);
diff --git a/src/editor/viewport/GameViewport.ts b/src/editor/viewport/GameViewport.ts
index b552a589..52c22fb4 100644
--- a/src/editor/viewport/GameViewport.ts
+++ b/src/editor/viewport/GameViewport.ts
@@ -2,11 +2,10 @@
  * The scene seen through its active camera at the chosen scale, letterboxed: the running world while
  * playing, the model as a still preview otherwise.
  */
-import { Text } from 'pixi.js';
 import { isSymbolType } from '../../core/model/AssetTypes';
 import type { EditorState } from '../state';
 import type { World } from '../../runtime/World';
-import { requestRender, Theme, textStyle, ui } from '../../ui';
+import { requestRender, Theme, textStyle, ui, crispText } from '../../ui';
 import { type ActiveCamera, cameraOfItems, cameraOfWorld } from '../../viewport/activeCamera';
 import { FullscreenCorner } from '../../viewport/FullscreenCorner';
 import { collectHolderItems, collectWorldItems } from '../../viewport/items';
@@ -16,8 +15,8 @@ import { type Frame, WorldViewport } from '../../viewport/WorldViewport';
 import { PerformanceOverlay } from './PerformanceOverlay';
 
 export class GameViewport extends WorldViewport<EditorState> {
-  private readonly hint = new Text({ text: 'No active camera', style: textStyle('muted') });
-  private readonly editorRunCaption = new Text({
+  private readonly hint = crispText({ text: 'No active camera', style: textStyle('muted') });
+  private readonly editorRunCaption = crispText({
     text: 'Behaviors run here · keys and clicks go to the game',
     style: textStyle('muted'),
   });
diff --git a/src/editor/viewport/PerformanceOverlay.ts b/src/editor/viewport/PerformanceOverlay.ts
index 222dc4cc..f9f62cec 100644
--- a/src/editor/viewport/PerformanceOverlay.ts
+++ b/src/editor/viewport/PerformanceOverlay.ts
@@ -1,11 +1,11 @@
-import { Container, Graphics, Text } from 'pixi.js';
-import { Theme, textStyle } from '../../ui';
+import { Container, Graphics } from 'pixi.js';
+import { Theme, textStyle, crispText } from '../../ui';
 import { performanceLines, type PerformanceReading } from '../frameMeter';
 
 /** Frame rate, entities and the time per frame by area over a running game (#275), top left. */
 export class PerformanceOverlay extends Container {
   private readonly bg = new Graphics();
-  private readonly text = new Text({ text: '', style: textStyle('mono') });
+  private readonly text = crispText({ text: '', style: textStyle('mono') });
 
   constructor() {
     super();
diff --git a/src/editor/viewport/SceneViewport.ts b/src/editor/viewport/SceneViewport.ts
index a2c3c1aa..2b29048f 100644
--- a/src/editor/viewport/SceneViewport.ts
+++ b/src/editor/viewport/SceneViewport.ts
@@ -3,7 +3,7 @@
  * copy, so live positions are visible and stay editable. A container's template is the same
  * work on the same shape of data, so the Container tab subclasses this and swaps `holder()`.
  */
-import { Container, type FederatedPointerEvent, Graphics, Rectangle, Text } from 'pixi.js';
+import { Container, type FederatedPointerEvent, Graphics, Rectangle, type Text } from 'pixi.js';
 import { oneStep } from '../../core/commands/CompoundCommand';
 import { MoveSceneObjectCommand, PlaceAssetCommand } from '../../core/commands/sceneObjectCommands';
 import { hasSceneIcon, isSymbolType } from '../../core/model/AssetTypes';
@@ -28,7 +28,17 @@ import { FramePreview } from '../framePreview';
 import { panelPolicy } from '../playThrottle';
 import { type EditorState, objectSelection } from '../state';
 import { paintedLayerId, paintedTilemap } from '../panels/TilemapPanel';
-import { activeDrag, drawBand, drawGrid, endDrag, Menu, onDragChange, Theme, textStyle } from '../../ui';
+import {
+  activeDrag,
+  drawBand,
+  drawGrid,
+  endDrag,
+  Menu,
+  onDragChange,
+  Theme,
+  textStyle,
+  crispText,
+} from '../../ui';
 import { canPasteObjects, pasteObjects } from '../clipboard';
 import { collectHolderItems, type DrawItem, type TilemapSolids } from '../../viewport/items';
 import { sortRowOf } from '../../viewport/drawOrder';
@@ -946,7 +956,7 @@ export class SceneViewport extends FreeViewport {
       return;
     }
     if (!label) {
-      label = new Text({ text: '', style: textStyle('viewportLabel') });
+      label = crispText({ text: '', style: textStyle('viewportLabel') });
       label.eventMode = 'none';
       this.labels.set(item.id, label);
       this.labelLayer.addChild(label);
diff --git a/src/page.ts b/src/page.ts
index dd51aedb..5dcb484f 100644
--- a/src/page.ts
+++ b/src/page.ts
@@ -1,5 +1,5 @@
 import { Application, Container } from 'pixi.js';
-import { initRenderLoop, initUI, loadEditorFonts, Theme, VStack } from './ui';
+import { initPixelGrid, initRenderLoop, initUI, loadEditorFonts, Theme, tieBreakFor, VStack } from './ui';
 
 // `desynchronized` bypasses the compositor queue (headless click-to-paint 72 → 16 ms) but may
 // tear; `?vsync` opts out. Pixi has no option for it, hence our own context.
@@ -31,12 +31,14 @@ export async function createPage(params: URLSearchParams): Promise<{ app: Applic
     preference: 'webgl',
     ...(params.has('vsync') ? {} : lowLatencyContext()),
   });
+  initPixelGrid(app.renderer.resolution);
   document.body.appendChild(app.canvas);
   await fonts;
 
   const root = new VStack();
   const overlay = new Container();
   app.stage.addChild(root, overlay);
+  app.stage.position.set(tieBreakFor(app.renderer.resolution));
   app.stage.eventMode = 'static';
   app.stage.hitArea = app.screen;
   initUI(app, root, overlay);
diff --git a/src/player/GameScreen.ts b/src/player/GameScreen.ts
index 258592cb..5dcd360c 100644
--- a/src/player/GameScreen.ts
+++ b/src/player/GameScreen.ts
@@ -1,6 +1,6 @@
-import { Text, type TextStyle } from 'pixi.js';
+import type { TextStyle } from 'pixi.js';
 import type { World } from '../runtime/World';
-import { Theme, textStyle, ui } from '../ui';
+import { Theme, textStyle, ui, crispText } from '../ui';
 import { cameraOfWorld } from '../viewport/activeCamera';
 import { FullscreenCorner } from '../viewport/FullscreenCorner';
 import { routePointer } from '../viewport/gamePointer';
@@ -22,8 +22,8 @@ function captionStyle(): TextStyle {
 }
 
 export class GameScreen extends WorldViewport {
-  private readonly caption = new Text({ text: '', style: captionStyle() });
-  private readonly hint = new Text({ text: 'No active camera', style: textStyle('muted') });
+  private readonly caption = crispText({ text: '', style: captionStyle() });
+  private readonly hint = crispText({ text: 'No active camera', style: textStyle('muted') });
   private running: World | null = null;
   /** Asked when the caption is clicked while it offers to start. */
   onStart: (() => void) | null = null;
diff --git a/src/ui/drag.ts b/src/ui/drag.ts
index 38f3b7fa..e95a6d07 100644
--- a/src/ui/drag.ts
+++ b/src/ui/drag.ts
@@ -1,6 +1,7 @@
-import { Container, Graphics, Text } from 'pixi.js';
+import { Container, Graphics } from 'pixi.js';
 import { Theme, textStyle } from './Theme';
 import { ui } from './UIContext';
+import { crispText } from './pixelGrid';
 
 /** What is being dragged. `kind` lets a drop target ignore payloads it does not take. */
 export interface DragPayload {
@@ -74,7 +75,7 @@ function buildGhost(label: string): Container {
   const ghost = new Container();
   ghost.eventMode = 'none';
   ghost.alpha = 0.85;
-  const text = new Text({ text: label, style: textStyle('body') });
+  const text = crispText({ text: label, style: textStyle('body') });
   const box = new Graphics()
     .roundRect(0, 0, text.width + 16, Theme.rowHeight, 4)
     .fill(Theme.colors.panel)
diff --git a/src/ui/draw.ts b/src/ui/draw.ts
index e93b65fc..8e4a80b8 100644
--- a/src/ui/draw.ts
+++ b/src/ui/draw.ts
@@ -1,4 +1,5 @@
 import type { Graphics } from 'pixi.js';
+import { crisp, hairline } from './pixelGrid';
 import { Theme } from './Theme';
 
 export interface ControlBoxOptions {
@@ -10,19 +11,22 @@ export interface ControlBoxOptions {
 }
 
 /**
- * The shared look of every control. The stroke is inset by half a pixel so it lands on whole
- * device pixels and stays crisp instead of blurring over two.
+ * The shared look of every control. The stroke is a hairline inset by half its width, so it lands
+ * on whole device pixels and stays crisp instead of blurring over two. Only for a `g` that holds
+ * nothing but boxes – see `crisp`.
  */
 export function drawControlBox(g: Graphics, w: number, h: number, options: ControlBoxOptions): void {
   const { fill, border, radius = Theme.radius, x = 0, y = 0 } = options;
-  g.roundRect(x, y, w, h, radius).fill(fill);
-  g.roundRect(x + 0.5, y + 0.5, w - 1, h - 1, radius).stroke({ width: 1, color: border });
+  const line = hairline();
+  crisp(g).roundRect(x, y, w, h, radius).fill(fill);
+  g.roundRect(x + line / 2, y + line / 2, w - line, h - line, radius).stroke({ width: line, color: border });
 }
 
 /** A bar across the top of something – the toolbar, a tab's header, the breadcrumb: header colour, a line below. */
 export function drawHeaderBar(g: Graphics, w: number, h: number): void {
-  g.clear().rect(0, 0, w, h).fill(Theme.colors.panelHeader);
-  g.rect(0, h - 1, w, 1).fill(Theme.colors.border);
+  const line = hairline();
+  crisp(g).clear().rect(0, 0, w, h).fill(Theme.colors.panelHeader);
+  g.rect(0, h - line, w, line).fill(Theme.colors.border);
 }
 
 export interface GridOptions {
diff --git a/src/ui/index.ts b/src/ui/index.ts
index ed98f916..dff7aa47 100644
--- a/src/ui/index.ts
+++ b/src/ui/index.ts
@@ -11,6 +11,15 @@ export {
 } from './sections';
 export { Theme, textStyle, type TextStyleToken } from './Theme';
 export { loadEditorFonts } from './fonts';
+export {
+  crisp,
+  crispText,
+  hairline,
+  hairlineFor,
+  initPixelGrid,
+  offDeviceGrid,
+  tieBreakFor,
+} from './pixelGrid';
 export { initUI, ui, type UIContext } from './UIContext';
 export {
   afterFrames,
diff --git a/src/ui/layout/SectionStack.ts b/src/ui/layout/SectionStack.ts
index f25db288..2fedaaf4 100644
--- a/src/ui/layout/SectionStack.ts
+++ b/src/ui/layout/SectionStack.ts
@@ -1,3 +1,4 @@
+import { hairline } from '../pixelGrid';
 import { hiddenBySections, sectionOffsets, type SectionRow, sectionStartOf } from '../sections';
 import { type Size, Widget } from '../Widget';
 import { type StackOptions, VStack } from './Stack';
@@ -51,7 +52,7 @@ export class SectionStack extends VStack {
     this.applyFolds();
     const sizes = this.items.map((item) => item.measure());
     const w = Math.max(0, ...sizes.map((size) => size.w)) + this.padding * 2;
-    const { height } = sectionOffsets(this.rows(sizes), this.gap, this.padding);
+    const { height } = sectionOffsets(this.rows(sizes), this.gap, this.padding, hairline());
     return { w: Math.max(w, this.minWidth), h: Math.max(height, this.minHeight) };
   }
 
@@ -59,10 +60,10 @@ export class SectionStack extends VStack {
     this.applyFolds();
     const items = this.items;
     const sizes = items.map((item) => item.measure());
-    const { ys } = sectionOffsets(this.rows(sizes), this.gap, this.padding);
+    const { ys } = sectionOffsets(this.rows(sizes), this.gap, this.padding, hairline());
     items.forEach((item, i) => {
       const band = sectionStartOf(item)?.sectionStart === 'band';
-      item.position.set(band ? 0 : this.padding, Math.round(ys[i]!));
+      item.position.set(band ? 0 : this.padding, ys[i] ?? 0);
       item.resize(Math.max(0, band ? this.w : this.w - this.padding * 2), Math.round(sizes[i]!.h));
     });
   }
diff --git a/src/ui/pixelGrid.ts b/src/ui/pixelGrid.ts
new file mode 100644
index 00000000..335abbd2
--- /dev/null
+++ b/src/ui/pixelGrid.ts
@@ -0,0 +1,60 @@
+import { type Graphics, Text, type TextOptions } from 'pixi.js';
+
+/**
+ * The editor lays itself out in whole CSS pixels, and a screen scaled to 125 % or 150 % has no
+ * whole device pixel under most of them: every odd coordinate lands half-way between two, and the
+ * GPU answers by averaging both. Text loses its edges that way and a hairline becomes a pixel and
+ * a half of mixed colour.
+ *
+ * Pixi rounds what it draws to device pixels when asked (`roundPixels`), but only per object, and
+ * the answer cannot be a blanket yes: a sprite of the game or a curve would be bent by it.
+ * `crispText` and `crisp` are how a text or a box of the interface asks for it, and `hairline` is
+ * the width that keeps a line one device pixel wherever the rounding puts it.
+ */
+
+let resolution = 1;
+
+/** Whether whole CSS pixels miss the device's grid at this resolution. */
+export function offDeviceGrid(res: number): boolean {
+  return !Number.isInteger(res);
+}
+
+/** The width, in CSS pixels, of the line a browser draws for `1px`: whole device pixels, never fewer than one. */
+export function hairlineFor(res: number): number {
+  return Math.max(1, Math.floor(res)) / res;
+}
+
+/** `hairlineFor` the screen the editor runs on; 1 wherever a CSS pixel is a whole number of device pixels. */
+export function hairline(): number {
+  return hairlineFor(resolution);
+}
+
+/**
+ * How far the whole stage is pushed off its origin, in CSS pixels. At 150 % every odd layout pixel
+ * is exactly half a device pixel, and which way such a tie is rounded is decided by the last bit of
+ * the GPU's arithmetic: one band came out a row shorter than its neighbours. A nudge far above that
+ * noise and far below anything visible sends every tie the same way.
+ */
+export function tieBreakFor(res: number): number {
+  return offDeviceGrid(res) ? 1 / 32 : 0;
+}
+
+/** Tells the grid how many device pixels a layout pixel is. Called once, before the first widget exists. */
+export function initPixelGrid(res: number): void {
+  resolution = res;
+}
+
+/** A text of the interface: drawn texel on pixel, wherever the layout put it. */
+export function crispText(options: TextOptions = {}): Text {
+  return new Text({ roundPixels: true, ...options });
+}
+
+/**
+ * Puts the corners of a box on device pixels. For shapes made of upright rectangles only – a curve
+ * or a slanted line would be bent by it – and left alone where the layout's pixels already are the
+ * device's, so nothing changes there.
+ */
+export function crisp<T extends Graphics>(shape: T): T {
+  shape.roundPixels = offDeviceGrid(resolution);
+  return shape;
+}
diff --git a/src/ui/sections.ts b/src/ui/sections.ts
index f5ef8504..fd6600f1 100644
--- a/src/ui/sections.ts
+++ b/src/ui/sections.ts
@@ -3,6 +3,7 @@
  * one belongs to it. A folded group keeps its band and hides its rows.
  */
 import type { Graphics } from 'pixi.js';
+import { crisp, hairline } from './pixelGrid';
 import { Theme } from './Theme';
 
 /** Height of a band, here and at the head of a list that carries its own. */
@@ -48,30 +49,33 @@ export interface SectionRow {
 /**
  * Where the shown children of a column go. Bands stand flush on each other and on the top edge,
  * a group keeps the column's padding to the band after it, and rows keep the gap between them.
+ * `line` is how wide the bands draw their lines.
  */
 export function sectionOffsets(
   rows: readonly SectionRow[],
   gap: number,
   padding: number,
+  line = 1,
 ): { ys: number[]; height: number } {
   const ys: number[] = [];
   let y = rows[0]?.start ? 0 : padding;
   rows.forEach((row, i) => {
     const prev = rows[i - 1];
-    // One pixel shared, so two bands show one line between them, not two.
-    if (prev) y += row.start ? (prev.band ? -1 : padding) : prev.band ? gap + 2 : gap;
+    // One line shared, so two bands show one between them, not two.
+    if (prev) y += row.start ? (prev.band ? -line : padding) : prev.band ? gap + 2 : gap;
     ys.push(y);
     y += row.h;
   });
   const last = rows.at(-1);
-  return { ys, height: y + (last && !last.band ? padding : 0) };
+  return { ys, height: Math.ceil(y + (last && !last.band ? padding : 0)) };
 }
 
 /** The band itself: header colour between two lines, from `x` on. `g` is cleared by the caller. */
 export function drawSectionBand(g: Graphics, x: number, y: number, w: number, h: number): void {
-  g.rect(x, y, w, h).fill(Theme.colors.panelHeader);
-  g.rect(x, y, w, 1).fill(Theme.colors.border);
-  g.rect(x, y + h - 1, w, 1).fill(Theme.colors.border);
+  const line = hairline();
+  crisp(g).rect(x, y, w, h).fill(Theme.colors.panelHeader);
+  g.rect(x, y, w, line).fill(Theme.colors.border);
+  g.rect(x, y + h - line, w, line).fill(Theme.colors.border);
 }
 
 /** The mark in front of a band's title, centred on `x`/`y`: pointing down while open, right while folded. */
diff --git a/src/ui/widgets/Button.ts b/src/ui/widgets/Button.ts
index 10f88227..d183f09d 100644
--- a/src/ui/widgets/Button.ts
+++ b/src/ui/widgets/Button.ts
@@ -3,7 +3,7 @@ import {
   type ColorSource,
   type FederatedPointerEvent,
   Graphics,
-  Text,
+  type Text,
   CanvasTextMetrics,
 } from 'pixi.js';
 import { drawControlBox } from '../draw';
@@ -12,6 +12,7 @@ import { drawSvg } from '../svg';
 import { Theme, textStyle, type TextStyleToken } from '../Theme';
 import { type Size, Widget } from '../Widget';
 import { truncate } from './Label';
+import { crisp, crispText, hairline } from '../pixelGrid';
 
 export interface ButtonOptions {
   variant?: 'default' | 'primary' | 'ghost' | 'danger';
@@ -36,7 +37,7 @@ const ICON_SIZE = 16;
 const ICON_GAP = 6;
 
 export class Button extends Widget {
-  protected readonly bg = new Graphics();
+  protected readonly bg = crisp(new Graphics());
   protected readonly labelText: Text;
   /** The label as set; `labelText` holds the possibly truncated version on screen. */
   private fullText: string;
@@ -70,7 +71,10 @@ export class Button extends Widget {
     this.fullText = text;
     this.style = options.style ?? 'body';
     this.toggle = options.toggle ?? false;
-    this.labelText = new Text({ text, style: textStyle(this.variant === 'primary' ? 'accent' : this.style) });
+    this.labelText = crispText({
+      text,
+      style: textStyle(this.variant === 'primary' ? 'accent' : this.style),
+    });
     this.icon = options.icon ?? null;
     this.addChild(this.bg, this.labelText);
     if (this.icon) this.addChild(this.iconGfx);
@@ -252,7 +256,10 @@ export class Button extends Widget {
     } else if (fill !== null) {
       this.bg.roundRect(0, 0, this.w, this.h, Theme.radius).fill(fill);
     } else if (stroke !== null) {
-      this.bg.roundRect(0.5, 0.5, this.w - 1, this.h - 1, Theme.radius).stroke({ width: 1, color: stroke });
+      const line = hairline();
+      this.bg
+        .roundRect(line / 2, line / 2, this.w - line, this.h - line, Theme.radius)
+        .stroke({ width: line, color: stroke });
     }
   }
 
diff --git a/src/ui/widgets/Checkbox.ts b/src/ui/widgets/Checkbox.ts
index 9594646f..5f2f5b55 100644
--- a/src/ui/widgets/Checkbox.ts
+++ b/src/ui/widgets/Checkbox.ts
@@ -6,6 +6,8 @@ import { Widget } from '../Widget';
 
 export class Checkbox extends Widget {
   private readonly box = new Graphics();
+  /** Apart from the box: its corners go on whole pixels, a slanted stroke must not. */
+  private readonly tick = new Graphics();
   onChange?: (checked: boolean) => void;
 
   constructor(public checked = false) {
@@ -14,7 +16,7 @@ export class Checkbox extends Widget {
     this.cursor = Theme.hoverCursor;
     this.minWidth = Theme.controlHeight;
     this.minHeight = Theme.controlHeight;
-    this.addChild(this.box);
+    this.addChild(this.box, this.tick);
     this.trackHover();
     this.on('pointertap', () => this.toggle());
   }
@@ -51,8 +53,9 @@ export class Checkbox extends Widget {
       radius: 3,
       y,
     });
+    this.tick.clear();
     if (this.checked) {
-      this.box
+      this.tick
         .moveTo(4, y + 8.5)
         .lineTo(7, y + 11.5)
         .lineTo(12.5, y + 5)
diff --git a/src/ui/widgets/Label.ts b/src/ui/widgets/Label.ts
index 3cfceb88..49f6b3d4 100644
--- a/src/ui/widgets/Label.ts
+++ b/src/ui/widgets/Label.ts
@@ -1,7 +1,8 @@
-import { CanvasTextMetrics, Graphics, Text } from 'pixi.js';
+import { CanvasTextMetrics, Graphics, type Text } from 'pixi.js';
 import { centreY } from '../math';
 import { Theme, textStyle, type TextStyleToken } from '../Theme';
 import { type Size, Widget } from '../Widget';
+import { crispText } from '../pixelGrid';
 
 export interface LabelOptions {
   style?: TextStyleToken;
@@ -28,7 +29,7 @@ export class Label extends Widget {
     this.padding = options.padding ?? 0;
     this.fixedWidth = options.width ?? 0;
     this.minWidth = this.fixedWidth;
-    this.textNode = new Text({ text, style: textStyle(options.style ?? 'body') });
+    this.textNode = crispText({ text, style: textStyle(options.style ?? 'body') });
     this.addChild(this.textNode);
     this.minHeight = Theme.rowHeight;
   }
diff --git a/src/ui/widgets/ListRow.ts b/src/ui/widgets/ListRow.ts
index a3c752b3..abf809af 100644
--- a/src/ui/widgets/ListRow.ts
+++ b/src/ui/widgets/ListRow.ts
@@ -1,10 +1,11 @@
-import { Color, type ColorSource, Graphics, Text } from 'pixi.js';
+import { Color, type ColorSource, Graphics } from 'pixi.js';
 import { centreY } from '../math';
 import { drawSvg } from '../svg';
 import { Theme, textStyle } from '../Theme';
 import { Widget } from '../Widget';
 import { truncate } from './Label';
 import type { ListItem } from './ListView';
+import { crisp, crispText } from '../pixelGrid';
 
 /** Width reserved in front of every row of a tree list for the chevron. */
 const CHEVRON_SLOT = 14;
@@ -13,9 +14,9 @@ const ICON_SIZE = 16;
 
 /** One row of a `ListView`. Purely visual: pointer handling and selection state live in the list. */
 export class ListRow extends Widget {
-  private readonly bg = new Graphics();
-  private readonly labelText = new Text({ text: '', style: textStyle('body') });
-  private readonly hint = new Text({ text: '', style: textStyle('small') });
+  private readonly bg = crisp(new Graphics());
+  private readonly labelText = crispText({ text: '', style: textStyle('body') });
+  private readonly hint = crispText({ text: '', style: textStyle('small') });
   private readonly icon = new Graphics();
   private readonly marks: Graphics[] = [];
   private selected = false;
diff --git a/src/ui/widgets/ListView.ts b/src/ui/widgets/ListView.ts
index 94367577..53ed2a47 100644
--- a/src/ui/widgets/ListView.ts
+++ b/src/ui/widgets/ListView.ts
@@ -1,4 +1,4 @@
-import { type FederatedPointerEvent, Graphics, Text } from 'pixi.js';
+import { type FederatedPointerEvent, Graphics } from 'pixi.js';
 import { pressCount } from '../clicks';
 import { centreY } from '../math';
 import { cancelFrameWork, onFrame } from '../render';
@@ -6,6 +6,7 @@ import { Theme, textStyle } from '../Theme';
 import { type Size, Widget } from '../Widget';
 import { ListRow } from './ListRow';
 import type { Popup } from './Popup';
+import { crisp, crispText } from '../pixelGrid';
 
 export interface ListItem {
   id: string;
@@ -107,9 +108,9 @@ export class ListView extends Widget {
   onToggle?: (id: string, expand: boolean) => void;
   rowHeight: number = Theme.rowHeight;
   emptyText = 'Nothing here yet';
-  private readonly emptyLabel = new Text({ text: '', style: textStyle('muted') });
-  private readonly dropMarker = new Graphics();
-  private readonly pingMarker = new Graphics();
+  private readonly emptyLabel = crispText({ text: '', style: textStyle('muted') });
+  private readonly dropMarker = crisp(new Graphics());
+  private readonly pingMarker = crisp(new Graphics());
   private drag: DragState | null = null;
   /** The row that glows after `ping`, and when it started. */
   private pinged: { id: string; start: number } | null = null;
diff --git a/src/ui/widgets/Panel.ts b/src/ui/widgets/Panel.ts
index f5050f65..bf5824aa 100644
--- a/src/ui/widgets/Panel.ts
+++ b/src/ui/widgets/Panel.ts
@@ -1,5 +1,6 @@
 import { Graphics } from 'pixi.js';
 import { HStack, VStack } from '../layout/Stack';
+import { crisp, hairline } from '../pixelGrid';
 import { Theme } from '../Theme';
 import { type Size, Widget } from '../Widget';
 import { Label } from './Label';
@@ -16,9 +17,9 @@ export interface PanelOptions {
 export class Panel extends Widget {
   /** Height of the title row – the floor for a panel that must stay grabbable when dragged shut. */
   static readonly HEADER_HEIGHT = Theme.rowHeight + 4;
-  private readonly bg = new Graphics();
+  private readonly bg = crisp(new Graphics());
   /** Drawn above the content: a row flush with the edge (padding 0) would otherwise paint over it. */
-  private readonly frame = new Graphics();
+  private readonly frame = crisp(new Graphics());
   readonly header: HStack;
   readonly content: VStack;
   private readonly titleLabel: Label | null = null;
@@ -67,6 +68,9 @@ export class Panel extends Widget {
     const c = Theme.colors;
     this.bg.rect(0, 0, this.w, this.h).fill(c.panel);
     if (this.titleLabel) this.bg.rect(0, 0, this.w, this.header.minHeight).fill(c.panelHeader);
-    this.frame.rect(0.5, 0.5, this.w - 1, this.h - 1).stroke({ width: 1, color: c.border });
+    const line = hairline();
+    this.frame
+      .rect(line / 2, line / 2, this.w - line, this.h - line)
+      .stroke({ width: line, color: c.border });
   }
 }
diff --git a/src/ui/widgets/ScrollContainer.ts b/src/ui/widgets/ScrollContainer.ts
index cccb4df9..ac0d5e30 100644
--- a/src/ui/widgets/ScrollContainer.ts
+++ b/src/ui/widgets/ScrollContainer.ts
@@ -1,5 +1,6 @@
 import { Container, type FederatedPointerEvent, type FederatedWheelEvent, Graphics } from 'pixi.js';
 import { clamp } from '../math';
+import { crisp } from '../pixelGrid';
 import { Theme } from '../Theme';
 import { Widget } from '../Widget';
 
@@ -9,7 +10,7 @@ import { Widget } from '../Widget';
  * rather than on top of its right edge.
  */
 export class ScrollContainer extends Widget {
-  private readonly maskShape = new Graphics();
+  private readonly maskShape = crisp(new Graphics());
   private readonly scrollbar = new Graphics();
   private readonly viewportNode = new Container();
   private content: Widget | null = null;
diff --git a/src/ui/widgets/Separator.ts b/src/ui/widgets/Separator.ts
index 2e8330c8..285adc23 100644
--- a/src/ui/widgets/Separator.ts
+++ b/src/ui/widgets/Separator.ts
@@ -1,10 +1,11 @@
 import { Graphics } from 'pixi.js';
+import { crisp, hairline } from '../pixelGrid';
 import { Theme } from '../Theme';
 import { Widget } from '../Widget';
 
 /** A hairline between two groups of entries. Takes no pointer events and answers no search. */
 export class Separator extends Widget {
-  private readonly line = new Graphics();
+  private readonly line = crisp(new Graphics());
 
   constructor() {
     super();
@@ -16,7 +17,7 @@ export class Separator extends Widget {
   override redraw(): void {
     this.line
       .clear()
-      .rect(Theme.padding, Math.floor(this.h / 2), Math.max(0, this.w - Theme.padding * 2), 1)
+      .rect(Theme.padding, Math.floor(this.h / 2), Math.max(0, this.w - Theme.padding * 2), hairline())
       .fill({ color: Theme.colors.border });
   }
 }
diff --git a/src/ui/widgets/SortableList.ts b/src/ui/widgets/SortableList.ts
index c9aeb603..0c12cac8 100644
--- a/src/ui/widgets/SortableList.ts
+++ b/src/ui/widgets/SortableList.ts
@@ -12,7 +12,7 @@
  * The list never changes its items itself. A drop, a cross, a name or a number reports to the owner,
  * the owner runs its command, and the next `setItems` shows the result.
  */
-import { Container, type FederatedPointerEvent, Graphics, Text } from 'pixi.js';
+import { Container, type FederatedPointerEvent, Graphics, type Text } from 'pixi.js';
 import { pressCount } from '../clicks';
 import {
   drawFoldMark,
@@ -29,6 +29,7 @@ import { type Size, Widget } from '../Widget';
 import { truncate } from './Label';
 import { NumberField } from './NumberField';
 import { TextField } from './TextField';
+import { crisp, crispText } from '../pixelGrid';
 
 /** Height of one row: the picture plus the air a hovered row needs to look like a row. */
 export const SORTABLE_ROW_HEIGHT = 30;
@@ -174,9 +175,9 @@ class RowNameField extends TextField {
 
 export class SortableList extends Widget implements SectionStart {
   private collapsed: boolean;
-  private readonly background = new Graphics();
-  private readonly marker = new Graphics();
-  private readonly heading = new Text({ text: '', style: textStyle('title') });
+  private readonly background = crisp(new Graphics());
+  private readonly marker = crisp(new Graphics());
+  private readonly heading = crispText({ text: '', style: textStyle('title') });
   private readonly plus = new Graphics();
   private readonly rows: Row[] = [];
   /** Display order, top first. */
@@ -376,8 +377,8 @@ export class SortableList extends Widget implements SectionStart {
     const box = new Container();
     const art = new Graphics();
     const clip = new Graphics();
-    const label = new Text({ text: '', style: textStyle('body') });
-    const hint = new Text({ text: '', style: textStyle('small') });
+    const label = crispText({ text: '', style: textStyle('body') });
+    const hint = crispText({ text: '', style: textStyle('small') });
     const eye = new Graphics();
     const duplicate = new Graphics();
     const cross = new Graphics();
@@ -699,7 +700,7 @@ const suffixWidths = new Map<string, number>();
 function suffixWidth(suffix: string): number {
   let width = suffixWidths.get(suffix);
   if (width === undefined) {
-    const text = new Text({ text: suffix, style: textStyle('small') });
+    const text = crispText({ text: suffix, style: textStyle('small') });
     width = text.width;
     text.destroy();
     suffixWidths.set(suffix, width);
diff --git a/src/ui/widgets/Splitter.ts b/src/ui/widgets/Splitter.ts
index ac336aef..4ec7dfa8 100644
--- a/src/ui/widgets/Splitter.ts
+++ b/src/ui/widgets/Splitter.ts
@@ -1,4 +1,5 @@
 import { type FederatedPointerEvent, Graphics } from 'pixi.js';
+import { crisp } from '../pixelGrid';
 import { Theme } from '../Theme';
 import { Widget } from '../Widget';
 
@@ -6,7 +7,7 @@ import { Widget } from '../Widget';
 export class Splitter extends Widget {
   /** Size across the drag axis; the visible bar fills it, so this is also the grab area. */
   static readonly THICKNESS = 5;
-  private readonly bar = new Graphics();
+  private readonly bar = crisp(new Graphics());
   private dragging = false;
   private last = 0;
   onDrag?: (delta: number) => void;
diff --git a/src/ui/widgets/TextField.ts b/src/ui/widgets/TextField.ts
index a9e0b98d..945b90be 100644
--- a/src/ui/widgets/TextField.ts
+++ b/src/ui/widgets/TextField.ts
@@ -1,4 +1,4 @@
-import { CanvasTextMetrics, Container, type FederatedPointerEvent, Graphics, Text } from 'pixi.js';
+import { CanvasTextMetrics, Container, type FederatedPointerEvent, Graphics, type Text } from 'pixi.js';
 import { pressCount } from '../clicks';
 import { drawControlBox } from '../draw';
 import type { TextEditTarget } from '../KeyboardBridge';
@@ -6,6 +6,7 @@ import { centreY, clamp } from '../math';
 import { Theme, textStyle, type TextStyleToken } from '../Theme';
 import { ui } from '../UIContext';
 import { type Size, Widget } from '../Widget';
+import { crisp, crispText, hairline } from '../pixelGrid';
 
 export interface TextFieldOptions {
   placeholder?: string;
@@ -34,15 +35,15 @@ const BULLET = '•';
  */
 export class TextField extends Widget implements TextEditTarget {
   protected readonly bg = new Graphics();
-  protected readonly selectionShape = new Graphics();
-  protected readonly caret = new Graphics();
+  protected readonly selectionShape = crisp(new Graphics());
+  protected readonly caret = crisp(new Graphics());
   protected readonly textNode: Text;
   protected readonly placeholderNode: Text;
   protected valueText = '';
   protected editing = false;
   protected selStart = 0;
   protected selEnd = 0;
-  private readonly clipShape = new Graphics();
+  private readonly clipShape = crisp(new Graphics());
   private originalValue = '';
   private scrollX = 0;
   private caretVisible = true;
@@ -68,8 +69,8 @@ export class TextField extends Widget implements TextEditTarget {
     this.cursor = this.readOnly ? 'default' : 'text';
     this.minHeight = Theme.controlHeight;
     this.minWidth = options.width ?? 80;
-    this.textNode = new Text({ text: value, style: textStyle(options.style ?? 'body') });
-    this.placeholderNode = new Text({ text: this.placeholder, style: textStyle('muted') });
+    this.textNode = crispText({ text: value, style: textStyle(options.style ?? 'body') });
+    this.placeholderNode = crispText({ text: this.placeholder, style: textStyle('muted') });
     // Only the contents are clipped: a mask on the whole field cut its border away along the
     // straight edges and left it showing at the rounded corners alone.
     const content = new Container();
@@ -293,7 +294,7 @@ export class TextField extends Widget implements TextEditTarget {
         .fill({ color: c.accent, alpha: 0.45 });
     }
     if (this.caretVisible) {
-      this.caret.rect(Math.round(textX + caretX), textY, 1, this.textNode.height).fill(c.text);
+      this.caret.rect(Math.round(textX + caretX), textY, hairline(), this.textNode.height).fill(c.text);
     }
   }
 
diff --git a/tests/editor/sections.test.ts b/tests/editor/sections.test.ts
index 766b7913..77f5cff1 100644
--- a/tests/editor/sections.test.ts
+++ b/tests/editor/sections.test.ts
@@ -95,6 +95,13 @@ describe('where bands and rows go', () => {
     expect(height).toBe(ys[2]! + SECTION_BAND_HEIGHT);
   });
 
+  it('shares exactly the line the bands draw, and still ends on a whole pixel', () => {
+    const line = 2 / 3;
+    const { ys, height } = sectionOffsets([band, band], GAP, PADDING, line);
+    expect(ys[1]).toBeCloseTo(SECTION_BAND_HEIGHT - line, 10);
+    expect(height).toBe(Math.ceil(2 * SECTION_BAND_HEIGHT - line));
+  });
+
   it('starts inside the padding without a band on top', () => {
     expect(sectionOffsets([plain, plain], GAP, PADDING).ys).toEqual([PADDING, PADDING + 24 + GAP]);
   });
diff --git a/tests/ui/pixel-grid.test.ts b/tests/ui/pixel-grid.test.ts
new file mode 100644
index 00000000..49d0ec52
--- /dev/null
+++ b/tests/ui/pixel-grid.test.ts
@@ -0,0 +1,124 @@
+import { Graphics } from 'pixi.js';
+import { afterEach, describe, expect, it } from 'vitest';
+import { edgeContrast } from '../../src/editor/debug/sharpness';
+import { drawControlBox, drawHeaderBar } from '../../src/ui/draw';
+import {
+  crisp,
+  crispText,
+  hairline,
+  hairlineFor,
+  initPixelGrid,
+  offDeviceGrid,
+  tieBreakFor,
+} from '../../src/ui/pixelGrid';
+import { drawSectionBand } from '../../src/ui/sections';
+
+afterEach(() => initPixelGrid(1));
+
+/** The rectangles a shape was drawn from, as `[x, y, w, h]`. */
+function rects(g: Graphics): number[][] {
+  return g.context.instructions.flatMap((instruction) => {
+    const data = instruction.data as { path?: { instructions: { action: string; data: number[] }[] } };
+    return (data.path?.instructions ?? [])
+      .filter((step) => step.action === 'rect' || step.action === 'roundRect')
+      .map((step) => step.data.slice(0, 4));
+  });
+}
+
+describe('the device pixel grid', () => {
+  it('names the scales at which whole layout pixels miss the device grid', () => {
+    expect([1, 2, 1.25, 1.5, 1.75].map(offDeviceGrid)).toEqual([false, false, true, true, true]);
+  });
+
+  it('makes a hairline whole device pixels wide, and never thinner than one', () => {
+    expect(hairlineFor(1)).toBe(1);
+    expect(hairlineFor(2)).toBe(1);
+    expect(hairlineFor(1.5)).toBeCloseTo(1 / 1.5, 10);
+    expect(hairlineFor(1.25)).toBeCloseTo(1 / 1.25, 10);
+    expect(hairlineFor(1.75) * 1.75).toBeCloseTo(1, 10);
+    expect(hairlineFor(0.5) * 0.5).toBeCloseTo(1, 10);
+    initPixelGrid(1.5);
+    expect(hairline()).toBeCloseTo(2 / 3, 10);
+  });
+
+  it('nudges the stage only where ties can happen, and by far less than a device pixel', () => {
+    expect(tieBreakFor(1)).toBe(0);
+    expect(tieBreakFor(2)).toBe(0);
+    for (const res of [1.25, 1.5, 1.75]) {
+      expect(tieBreakFor(res)).toBeGreaterThan(0.01);
+      expect(tieBreakFor(res) * res).toBeLessThan(0.1);
+    }
+  });
+
+  it('rounds every text of the interface, at any scale', () => {
+    expect(crispText({ text: 'a' }).roundPixels).toBe(true);
+    initPixelGrid(1.5);
+    expect(crispText().roundPixels).toBe(true);
+  });
+
+  it('rounds a box only where the layout pixels miss the device grid', () => {
+    expect(crisp(new Graphics()).roundPixels).toBe(false);
+    initPixelGrid(2);
+    expect(crisp(new Graphics()).roundPixels).toBe(false);
+    initPixelGrid(1.5);
+    expect(crisp(new Graphics()).roundPixels).toBe(true);
+  });
+
+  it('draws the shared boxes with lines of one layout pixel where that is a device pixel', () => {
+    const bar = new Graphics();
+    drawHeaderBar(bar, 200, 30);
+    expect(rects(bar)).toEqual([
+      [0, 0, 200, 30],
+      [0, 29, 200, 1],
+    ]);
+    const box = new Graphics();
+    drawControlBox(box, 100, 24, { fill: 0, border: 1 });
+    expect(rects(box)).toEqual([
+      [0, 0, 100, 24],
+      [0.5, 0.5, 99, 23],
+    ]);
+    expect(box.roundPixels).toBe(false);
+  });
+
+  it('draws them with lines of one device pixel at 150 %, flush with the edge they belong to', () => {
+    initPixelGrid(1.5);
+    const line = 2 / 3;
+    const bar = new Graphics();
+    drawHeaderBar(bar, 200, 30);
+    expect(bar.roundPixels).toBe(true);
+    expect(rects(bar)[1]).toEqual([0, 30 - line, 200, line]);
+
+    const box = new Graphics();
+    drawControlBox(box, 100, 24, { fill: 0, border: 1 });
+    expect(box.roundPixels).toBe(true);
+    expect(rects(box)[1]).toEqual([line / 2, line / 2, 100 - line, 24 - line]);
+
+    const band = new Graphics();
+    drawSectionBand(band, 0, 10, 80, 26);
+    expect(band.roundPixels).toBe(true);
+    expect(rects(band)).toEqual([
+      [0, 10, 80, 26],
+      [0, 10, 80, line],
+      [0, 36 - line, 80, line],
+    ]);
+  });
+});
+
+describe('edgeContrast', () => {
+  /** One row of grey values, as RGBA, two rows high so every pixel has a neighbour below. */
+  const picture = (row: number[]) => {
+    const rgba = [...row, ...row].flatMap((v) => [v, v, v, 255]);
+    return edgeContrast(rgba, row.length, 2);
+  };
+
+  it('scores a hard edge higher than the same edge averaged over two pixels', () => {
+    const hard = picture([0, 0, 200, 200, 0, 0]);
+    const soft = picture([0, 100, 200, 100, 0, 0]);
+    expect(hard).toBeCloseTo(200, 5);
+    expect(soft).toBeCloseTo(100, 5);
+  });
+
+  it('is zero for a picture without an edge', () => {
+    expect(picture([40, 40, 41, 40])).toBe(0);
+  });
+});
diff --git a/tools/e2e/62-device-pixels.mjs b/tools/e2e/62-device-pixels.mjs
new file mode 100644
index 00000000..c0f7ac5c
--- /dev/null
+++ b/tools/e2e/62-device-pixels.mjs
@@ -0,0 +1,105 @@
+/**
+ * The interface on a screen scaled to 150 %: the one thing every other step is blind to, since the
+ * harness runs at 100 %, where a layout pixel is a device pixel. Text has to come out as hard as it
+ * does at 100 %, and a hairline has to be one device pixel of its own colour, not one and a half
+ * with the half mixed. Reloads the page twice, so the steps after it start from a fresh editor.
+ */
+export async function devicePixels(t) {
+  const { check, json, cdp, navigate, select, storedObjects, wheel, exceptions } = t;
+  const size = { width: await json('innerWidth'), height: await json('innerHeight') };
+  const scale = (deviceScaleFactor) =>
+    cdp.send('Emulation.setDeviceMetricsOverride', { ...size, deviceScaleFactor, mobile: false });
+  // The toolbar: captions on a plain ground, read at 100 % and at 150 %.
+  const textEdges = () => json(`__gm.edgeContrast(0, 0, innerWidth, 30)`);
+  const pickFirst = async () => {
+    const holderId = await json('__gm.state.activeScene.id');
+    const first = (await storedObjects())[0];
+    await select({ kind: 'object', holderId, objectId: first.id, objectIds: [first.id] });
+  };
+
+  await pickFirst();
+  const plain = { grid: await json('__gm.pixelGrid()'), edges: await textEdges() };
+
+  await scale(1.5);
+  await navigate();
+  await pickFirst();
+
+  // 62a. The editor knows the grid it draws on.
+  const grid = await json('__gm.pixelGrid()');
+  check(
+    'at 150 % a hairline is one device pixel wide',
+    plain.grid.resolution === 1 &&
+      plain.grid.hairline === 1 &&
+      grid.resolution === 1.5 &&
+      Math.abs(grid.hairline * 1.5 - 1) < 1e-9,
+    JSON.stringify({ plain: plain.grid, grid }),
+  );
+
+  // 62b. Both lines of every band of the inspector, read down a column of device pixels: one row
+  // each, in the border's own colour, and only the band's colour between them. A band on an odd
+  // layout pixel starts half-way between two device pixels, which is the case that used to blur.
+  const colours = {
+    border: await json(`__gm.themeColor('border')`),
+    header: await json(`__gm.themeColor('panelHeader')`),
+  };
+  // One pixel of scroll flips every band between even and odd, so both are read. The window is made
+  // too low for the inspector's rows first: one that shows them all has nothing to scroll.
+  await cdp.send('Emulation.setDeviceMetricsOverride', {
+    width: size.width,
+    height: 420,
+    deviceScaleFactor: 1.5,
+    mobile: false,
+  });
+  await t.settle();
+  const inspector = await json('__gm.inspectorRect()');
+  const bands = [];
+  for (const scrolled of [0, 1]) {
+    if (scrolled) await wheel(inspector.x + inspector.w / 2, inspector.y + inspector.h / 2, 1);
+    for (const title of ['SWITCHES', 'POSITION', 'TRANSFORM', 'PROPERTIES']) {
+      const band = await json(`__gm.section(${JSON.stringify(title)})`);
+      if (!band) continue;
+      const { x, y, w, h } = band.rect;
+      // A band cut off by the edge of the panel has no second line to read.
+      if (y < inspector.y || y + h > inspector.y + inspector.h) continue;
+      const column = await json(`__gm.deviceColumn(${x + w - 40}, ${y}, ${h})`);
+      const runs = [];
+      for (const colour of column) {
+        if (runs.at(-1)?.colour === colour) runs.at(-1).rows += 1;
+        else runs.push({ colour, rows: 1 });
+      }
+      bands.push({ title, y, runs: runs.map((run) => `${run.colour}*${run.rows}`) });
+    }
+  }
+  const crisp = (band) =>
+    band.runs.length === 3 &&
+    band.runs[0] === `${colours.border}*1` &&
+    band.runs[1].startsWith(`${colours.header}*`) &&
+    band.runs[2] === `${colours.border}*1`;
+  const odd = (band) => Math.round(band.y) % 2 === 1;
+  check(
+    'the lines of a band are one device pixel each, in the unmixed colour',
+    bands.every(crisp) && bands.some(odd) && bands.some((band) => !odd(band)),
+    JSON.stringify({ bands, colours }),
+  );
+  await scale(1.5);
+  await t.settle();
+
+  // 62c. Text keeps its edges: against the same captions at 100 %, where nothing can sit between pixels.
+  const edges = await textEdges();
+  const kept = edges / plain.edges;
+  check(
+    'text is as hard-edged at 150 % as at 100 %',
+    kept > 0.96,
+    JSON.stringify({ plain: plain.edges, edges, kept }),
+  );
+  await t.shot('62-device-pixels');
+
+  await scale(1);
+  await navigate();
+  const back = await json('__gm.pixelGrid()');
+  check(
+    'back at 100 % without exceptions',
+    back.resolution === 1 && exceptions().length === 0,
+    JSON.stringify({ back, exceptions: exceptions() }),
+  );
+}
diff --git a/tools/e2e/index.mjs b/tools/e2e/index.mjs
index 6b041c62..0c12c187 100644
--- a/tools/e2e/index.mjs
+++ b/tools/e2e/index.mjs
@@ -64,6 +64,7 @@ import { clipAreas } from './58-clip-areas.mjs';
 import { whilePlaying } from './59-while-playing.mjs';
 import { release } from './60-release.mjs';
 import { fullscreen } from './61-fullscreen.mjs';
+import { devicePixels } from './62-device-pixels.mjs';
 
 export const STEPS = [
   hierarchy,
@@ -127,4 +128,5 @@ export const STEPS = [
   whilePlaying,
   release,
   fullscreen,
+  devicePixels,
 ];
diff --git a/tools/lib/harness.mjs b/tools/lib/harness.mjs
index 3673a8d1..e1ebc7f1 100644
--- a/tools/lib/harness.mjs
+++ b/tools/lib/harness.mjs
@@ -541,6 +541,7 @@ function makeTools({ cdp, projectId, baseUrl, consoleLog, check, shotPrefix }) {
 
 export async function runChecks(options, body) {
   const { projectId, baseUrl, port = 9333, shotPrefix = 'gm-e2e', width = 1280, height = 800 } = options;
+  const { deviceScaleFactor = 1 } = options;
   const { proc: chrome, stop: stopBrowser, where } = await launchBrowser({ port, width, height });
   console.log(`browser: ${where}`);
 
@@ -603,7 +604,7 @@ export async function runChecks(options, body) {
     await cdp.send('Emulation.setDeviceMetricsOverride', {
       width,
       height,
-      deviceScaleFactor: 1,
+      deviceScaleFactor,
       mobile: false,
     });
     await requireGpu(cdp);