diff --git a/src/viewport/view.ts b/src/viewport/view.ts
index 4a7f3ac9..7e5dc9fe 100644
--- a/src/viewport/view.ts
+++ b/src/viewport/view.ts
@@ -26,7 +26,7 @@ export function freeView(x: number, y: number, zoom: number, w: number, h: numbe
  * The zoom steps of the scene view, in device pixels per world pixel. Each gives every texel the
  * same number of screen pixels, so pixel art never shows one pixel wider than its neighbour.
  */
-export const FREE_ZOOM_STEPS = [0.125, 0.25, 0.5, 1, 2, 3, 4, 5, 6, 8, 12, 16, 24] as const;
+export const FREE_ZOOM_STEPS = [0.125, 0.25, 0.5, 1, 2, 3, 4, 5, 6, 8, 12, 16, 24, 32, 48, 64] as const;
 
 /** The largest step at or below `zoom`, never below the smallest (fit rounds down to it). */
 export function zoomStepBelow(zoom: number): number {
diff --git a/tests/viewport/view.test.ts b/tests/viewport/view.test.ts
index 74346316..8812908e 100644
--- a/tests/viewport/view.test.ts
+++ b/tests/viewport/view.test.ts
@@ -59,7 +59,8 @@ describe('free view zoom steps under Windows scaling', () => {
     expect(stepFreeZoom(2, -1)).toBe(1);
     expect(stepFreeZoom(1, -1)).toBe(0.5);
     expect(stepFreeZoom(6, 1)).toBe(8);
-    expect(stepFreeZoom(24, 1)).toBe(24);
+    expect(stepFreeZoom(24, 1)).toBe(32);
+    expect(stepFreeZoom(64, 1)).toBe(64);
     expect(stepFreeZoom(0.125, -1)).toBe(0.125);
   });
 
@@ -68,7 +69,8 @@ describe('free view zoom steps under Windows scaling', () => {
     expect(zoomStepBelow(0.7)).toBe(0.5);
     expect(zoomStepBelow(0.01)).toBe(0.125);
     expect(zoomStepBelow(20)).toBe(16);
-    expect(zoomStepBelow(100)).toBe(24);
+    expect(zoomStepBelow(40)).toBe(32);
+    expect(zoomStepBelow(100)).toBe(64);
     expect(nearestZoomStep(1.37)).toBe(1);
     expect(nearestZoomStep(0.4)).toBe(0.5);
   });
diff --git a/tools/e2e/39-tile.mjs b/tools/e2e/39-tile.mjs
index 30999e64..4565aa21 100644
--- a/tools/e2e/39-tile.mjs
+++ b/tools/e2e/39-tile.mjs
@@ -211,7 +211,7 @@ export async function tile(t) {
   // Fit used to stop at 100 %, which left a board measured in 16 px tiles a stamp in the corner.
   // It takes the scene view's steps (device pixels, `FREE_ZOOM_STEPS`): the largest one the board
   // fits at, so the next one up would run past the margin.
-  const STEPS = [0.125, 0.25, 0.5, 1, 2, 3, 4, 5, 6, 8, 12, 16, 24];
+  const STEPS = [0.125, 0.25, 0.5, 1, 2, 3, 4, 5, 6, 8, 12, 16, 24, 32, 48, 64];
   const fills = (b) => {
     const at = STEPS.findIndex((step) => Math.abs(step - b.zoom * b.ratio) < 1e-9);
     const fits = (step) =>