diff --git a/backend/src/glass/LiquidField.zig b/backend/src/glass/LiquidField.zig
index b6c4c13a3..2b3c5e686 100644
--- a/backend/src/glass/LiquidField.zig
+++ b/backend/src/glass/LiquidField.zig
@@ -296,6 +296,12 @@ pub fn pack(self: *const LiquidField, covered: dvui.Rect.Physical, has_sharp: bo
 /// `liquid_glass`'s rim line width, in points.
 const rim_line_width: f32 = 0.8;
 
+/// How many pixels the glass's edge coverage ramps over at `scale`: wider at 1x, where a one-pixel
+/// ramp shows as stairs. The program's `aa`.
+fn edgeRamp(scale: f32) f32 {
+    return if (scale <= 1.25) 1.4 else 1.0;
+}
+
 // ── Drawing ─────────────────────────────────────────────────────────────────────────────────────
 
 /// The program, written once in `shaders/liquid_glass.fragment.hlsl` and compiled from it for every
@@ -619,7 +625,7 @@ pub fn sample(self: *const LiquidField, p: dvui.Point.Physical) Sample {
     const soft = @max(0, -f);
     return .{
         .d = @max(d, in_place),
-        .coverage = std.math.clamp(0.5 - @max(d, in_place), 0, 1),
+        .coverage = std.math.clamp(0.5 - @max(d, in_place) / edgeRamp(self.scale), 0, 1),
         .out = .{ .x = out[0], .y = out[1] },
         .steep = @exp(-soft / liquid_glass.depthPx(self.look(), rim)),
         .blur = std.math.lerp(m1[0], m2[0], wm),
@@ -674,3 +680,17 @@ pub fn smin(a: f32, b: f32, k: f32, m: *f32) f32 {
     if (b < a) m.* = 1 - m.*;
     return @min(a, b) - h * h * k * 0.25;
 }
+
+test "the edge coverage ramps over 1.4 px at 1x and 1 px from 1.5x" {
+    var f: LiquidField = .{};
+    f.add(.{ .rect = .{ .x = 0, .y = 0, .w = 100, .h = 100 }, .radii = @splat(10) });
+    // Half a pixel outside the top edge, and half a pixel inside it.
+    const out: dvui.Point.Physical = .{ .x = 50, .y = -0.5 };
+    const in: dvui.Point.Physical = .{ .x = 50, .y = 0.5 };
+    f.scale = 1;
+    try std.testing.expectApproxEqAbs(0.5 - 0.5 / 1.4, f.sample(out).coverage, 1e-4);
+    try std.testing.expectApproxEqAbs(0.5 + 0.5 / 1.4, f.sample(in).coverage, 1e-4);
+    f.scale = 2;
+    try std.testing.expectEqual(@as(f32, 0), f.sample(out).coverage);
+    try std.testing.expectEqual(@as(f32, 1), f.sample(in).coverage);
+}
diff --git a/backend/src/glass/shaders/liquid_glass.fragment.hlsl b/backend/src/glass/shaders/liquid_glass.fragment.hlsl
index 6f800140e..fe5eb3169 100644
--- a/backend/src/glass/shaders/liquid_glass.fragment.hlsl
+++ b/backend/src/glass/shaders/liquid_glass.fragment.hlsl
@@ -156,7 +156,12 @@ float4 main(PSInput input) : SV_Target0
     float F = smin(f1, f2, k, wf);
     // Cut: the glass's outline, and so its rim line, runs along the place's where that is nearer.
     if (cutEdge) D = max(D, inPlace);
-    float cov = clamp(0.5 - max(D, inPlace), 0.0, 1.0);
+    // At scale 1 a one-pixel ramp reads as stairs, so the edge is spread over `aa` pixels (the
+    // rim below widens with it); from 1.5 the ramp is one pixel (`LiquidField.edgeRamp`).
+    float px = g2.z * 1.25;
+    bool lowRes = px <= 1.25;
+    float aa = lowRes ? 1.4 : 1.0;
+    float cov = clamp(0.5 - max(D, inPlace) / aa, 0.0, 1.0);
     if (cov <= 0.0) discard;
     if (input.color.r < 0.5) return float4(0.0, 0.0, 0.0, cov);
 
@@ -273,11 +278,10 @@ float4 main(PSInput input) : SV_Target0
     // Nothing across the band in either. Shade is the glass's own, not the picture's: a dark layer
     // over it, as whole where the picture is see-through as where it is not. `px` is a point, in
     // pixels (the rim line's width is 0.8 of one, `LiquidField.rim_line_width`).
-    float px = g2.z * 1.25;
     float af = abs(facing);
     bool diagonal = inward && dg > 0.0;
     float edge_dark = diagonal ? dg * (1.0 - smoothstep(0.2, 0.7, af)) * exp(-max(0.0, -D) / (2.0 * px))
-                               : g8.x * (1.0 - smoothstep(0.0, 0.5 * px, -D));
+                               : g8.x * (1.0 - smoothstep(0.0, lowRes ? 0.7 : 0.5 * px, -D));
     // As much as the edge has formed (`lens`), as its bend, clearing and light are: glass that is
     // barely a lens yet — a drop sunk into its place's edge — draws no dark line round itself.
     float shade = inward ? max(g5.w * t * t, edge_dark) * min(lens, 1.0) : 0.0;
@@ -286,7 +290,8 @@ float4 main(PSInput input) : SV_Target0
     float spec = inward ? (diagonal ? dg * smoothstep(0.75, 1.0, af) : 0.25)
                         : 0.45 * (toward * sqrt(toward) + 0.75 * away * sqrt(away)) + 0.06;
     float line_ = diagonal ? exp(-max(0.0, -D) / px)
-             : inward ? smoothstep(0.25 * px, 0.5 * px, -D) * (1.0 - smoothstep(1.2 * px, 1.6 * px, -D))
+             : inward ? (lowRes ? smoothstep(0.0, 0.9, -D) * (1.0 - smoothstep(1.5, 2.4, -D))
+                                : smoothstep(0.25 * px, 0.5 * px, -D) * (1.0 - smoothstep(1.2 * px, 1.6 * px, -D)))
                         : exp(-max(0.0, -D) / g2.z);
     float lit = line_ * spec + (inward ? 0.0 : 0.04 * steepL * toward);
     // Down the shape (`v`, 0 at its top): the wash falls from `wash_top` to `wash_bottom`, and the
diff --git a/core/dialogs.zig b/core/dialogs.zig
index 7e0a384ca..86b483146 100644
--- a/core/dialogs.zig
+++ b/core/dialogs.zig
@@ -202,7 +202,7 @@ pub fn frostPaneKept(id: dvui.Id, rect: dvui.Rect.Physical, corners: dvui.Corner
 pub fn carriedGlass(id: dvui.Id, r: dvui.Rect.Physical, scale: f32) void {
     const corners = rounding.round(rounding.card);
     if (!frostPane(id, r, corners, scale)) {
-        r.fill(corners.scale(scale, dvui.CornerRect.Physical), .{ .color = .{ .color = dialogFill() }, .fade = 1 });
+        r.fill(corners.scale(scale, dvui.CornerRect.Physical), .{ .color = .{ .color = dialogFill() }, .fade = edgeFade(scale) });
     }
     glassShadow(r, corners, scale, surfaceShadow(), 1);
 }
@@ -387,11 +387,11 @@ pub fn glassBubbles(id: dvui.Id, bubbles: []const Bubble, scale: f32, opts: Bubb
         const physical = round.scale(scale, dvui.CornerRect.Physical);
         const piece = id.update(std.mem.asBytes(&i));
         const frosted = if (opts.witness) |w| frostPaneKept(piece, b.rect, round, scale, w) else frostPane(piece, b.rect, round, scale);
-        if (!frosted) b.rect.fill(physical, .{ .color = .{ .color = if (opts.tint) |t| t.opacity(opts.mix) else dialogFill() }, .fade = 1 });
+        if (!frosted) b.rect.fill(physical, .{ .color = .{ .color = if (opts.tint) |t| t.opacity(opts.mix) else dialogFill() }, .fade = edgeFade(scale) });
         if (b.light >= bubble_press) {
-            b.rect.fill(physical, .{ .color = .{ .color = rowPress() }, .fade = 1 });
+            b.rect.fill(physical, .{ .color = .{ .color = rowPress() }, .fade = edgeFade(scale) });
         } else if (b.light > 0) {
-            b.rect.fill(physical, .{ .color = .{ .color = rowHover() }, .fade = 1 });
+            b.rect.fill(physical, .{ .color = .{ .color = rowHover() }, .fade = edgeFade(scale) });
         }
     }
 }
@@ -417,7 +417,7 @@ pub fn dropSlot(r: dvui.Rect.Physical, scale: f32) void {
     const slot = r.insetAll(2 * scale);
     if (slot.w < 1 or slot.h < 1) return;
     const radius = @min(rounding.scaled(rounding.small) * scale, @min(slot.w, slot.h) / 2);
-    slot.fill(.round(radius), .{ .color = .{ .color = dvui.themeGet().color(.highlight, .fill).opacity(drop_slot_alpha) }, .fade = 1 });
+    slot.fill(.round(radius), .{ .color = .{ .color = dvui.themeGet().color(.highlight, .fill).opacity(drop_slot_alpha) }, .fade = edgeFade(scale) });
 }
 /// How much of the highlight a drop slot is: there without shouting over the tabs beside it.
 const drop_slot_alpha: f32 = 0.55;
@@ -560,7 +560,7 @@ fn tooltipGlass(wd: *dvui.WidgetData, r: dvui.Rect.Physical, scale: f32, t: f32,
     const f = dialogFrost() orelse {
         const prect = r.insetAll(scale * bs.shrink).offsetPoint(bs.offset.scale(scale, dvui.Point.Physical));
         prect.fill(phys_corners, .{ .color = .{ .color = bs.color.opacity(bs.alpha * p) }, .fade = scale * bs.fade });
-        r.fill(phys_corners, .{ .color = .{ .color = dialogFill().opacity(p) }, .fade = 1 });
+        r.fill(phys_corners, .{ .color = .{ .color = dialogFill().opacity(p) }, .fade = edgeFade(scale) });
         return;
     };
     // The shadow as a ring round the glass, after it (`glassShadow`), so the glass does not blur
@@ -699,6 +699,17 @@ pub fn rowPress() dvui.Color {
 /// The style a row inside a floating surface takes its colours from.
 pub const row_style: dvui.Theme.Style.Name = .control;
 
+/// The fade ring, in pixels, of a rounded fill at `scale`: wider at 1x, where one pixel steps.
+fn edgeFade(scale: f32) f32 {
+    return if (scale <= 1.25) 1.5 else 1;
+}
+
+test "a rounded fill's fade ring widens only on a 1x display" {
+    try std.testing.expectEqual(@as(f32, 1.5), edgeFade(1));
+    try std.testing.expectEqual(@as(f32, 1), edgeFade(1.5));
+    try std.testing.expectEqual(@as(f32, 1), edgeFade(2));
+}
+
 /// The fill a dialog paints when there is no frost to composite with: the chrome at the
 /// dialog's opacity, lifted the same amount.
 pub fn dialogFill() dvui.Color {