diff --git a/TASKS.md b/TASKS.md
index 0a29274..923bed9 100644
--- a/TASKS.md
+++ b/TASKS.md
@@ -55,11 +55,11 @@ Per-component lines live in `tasks/`. Tags there:
 - [x] T15a Charts · Cartesian
 - [x] T15b Charts · Parts and spreads
 - [x] T15c Charts · Flows and relations
-- [ ] T16a Finance · Market charts
-- [ ] T16b Finance · Technical analysis
-- [ ] T16c Finance · Quotes & book
-- [ ] T16d Finance · Trading
-- [ ] T16e Finance · Markets & assets
+- [x] T16a Finance · Market charts
+- [x] T16b Finance · Technical analysis
+- [x] T16c Finance · Quotes & book
+- [x] T16d Finance · Trading
+- [x] T16e Finance · Markets & assets
 - [ ] T17a Editor · Core
 - [ ] T17b Editor · Intelligence
 - [ ] T17c Editor · Search
@@ -216,8 +216,16 @@ Per-component lines live in `tasks/`. Tags there:
 | T15b | 2 | PASS | |
 | T15c | 1 | FAIL | eight charts kept a pointed part past their data, and the Gantt today line ran past the timeline |
 | T15c | 2 | PASS | |
-| T16a | 1 | — | pending review |
-| T16b | 1 | — | pending review |
-| T16c | 1 | — | pending review |
-| T16d | 1 | — | pending review |
-| T16e | 1 | — | pending review |
+| T16a | 1 | FAIL | an unknown system zone read as UTC, the view window kept its span when data shrank, and the volume profile dropped narrow and flat candles |
+| T16a | 2 | FAIL | synced charts moved their shared window once per chart for one append |
+| T16a | 3 | FAIL | a lagging synced chart moved the shared window again on every redraw; fixed after the cap by tracking each chart's own count, verified by a red-green test, no fourth review |
+| T16b | 1 | FAIL | Fibonacci labels spilled out of their pane |
+| T16b | 2 | FAIL | Fibonacci labels still ran past the price pane's top |
+| T16b | 3 | PASS | |
+| T16c | 1 | FAIL | the DOM ladder lost its tick's decimals, and the tape flashed only once |
+| T16c | 2 | FAIL | ladder prices lost places their tick needed |
+| T16c | 3 | FAIL | a step under 1e-10 showed no places; fixed after the cap by keeping places by magnitude, verified by a red-green test, no fourth review |
+| T16d | 1 | FAIL | typed numbers reached the ticket only on blur, so a press sent the old value |
+| T16d | 2 | PASS | |
+| T16e | 1 | FAIL | a smaller loss than expected read as a miss |
+| T16e | 2 | PASS | |
diff --git a/src/finance/market.rs b/src/finance/market.rs
index 669e90c..e7d1bb9 100644
--- a/src/finance/market.rs
+++ b/src/finance/market.rs
@@ -40,7 +40,7 @@ pub enum ChartKind {
 pub struct ChartSync {
     pub(crate) visible: Option<Visible>,
     pub(crate) hover: Option<i64>,
-    /// How many candles the shared window last moved for, so one append moves it once.
+    /// The most candles the shared window has moved for: an append moves it once, a lagging chart never.
     pub(crate) seen: usize,
 }
 
@@ -230,37 +230,37 @@ impl RenderOnce for CandlestickChart {
             ..frame
         };
         let total = self.candles.len();
-        let held = match &self.sync {
-            Some(sync) => (sync.read(cx).visible, sync.read(cx).hover),
-            None => (stage.read(cx).visible, stage.read(cx).hover),
-        };
-        let seen = match &self.sync {
-            Some(sync) => sync.read(cx).seen,
-            None => stage.read(cx).seen,
+        let own = stage.read(cx).seen;
+        let (held, shared) = match &self.sync {
+            Some(sync) => {
+                let sync = sync.read(cx);
+                ((sync.visible, sync.hover), sync.seen)
+            }
+            None => ((stage.read(cx).visible, stage.read(cx).hover), own),
         };
+        let fresh = total.saturating_sub(own).min(total.saturating_sub(shared));
         let visible = match held.0 {
             Some(visible)
-                if total > seen
-                    && seen > 0
-                    && visible.start + visible.count >= seen as f64 - 0.5 =>
+                if fresh > 0
+                    && own > 0
+                    && visible.start + visible.count >= (total - fresh) as f64 - 0.5 =>
             {
-                visible.pan((total - seen) as f64, total)
+                visible.pan(fresh as f64, total)
             }
             Some(visible) => visible.fitted(total),
             None => Visible::latest(total, f64::from(main.w / pixels(sizes.candle)).max(1.0)),
         };
-        if seen != total {
-            log::debug!("market chart: {seen} candles to {total}");
-            let kept = held.0.map(|_| visible);
+        if own != total {
+            log::debug!("market chart: {own} candles to {total}");
+            let shrunk = total < own;
+            let kept = held.0.filter(|_| fresh > 0 || shrunk).map(|_| visible);
+            stage.update(cx, |stage, _| stage.seen = total);
             match &self.sync {
                 Some(sync) => sync.update(cx, |sync, _| {
-                    sync.seen = total;
+                    sync.seen = if shrunk { total } else { sync.seen.max(total) };
                     sync.visible = kept.or(sync.visible);
                 }),
-                None => stage.update(cx, |stage, _| {
-                    stage.seen = total;
-                    stage.visible = kept.or(stage.visible);
-                }),
+                None => stage.update(cx, |stage, _| stage.visible = kept.or(stage.visible)),
             }
         }
         let range = visible.range(total);
diff --git a/src/finance/stage.rs b/src/finance/stage.rs
index 8199951..6e1eb5d 100644
--- a/src/finance/stage.rs
+++ b/src/finance/stage.rs
@@ -104,13 +104,17 @@ pub(crate) fn fit(low: f64, high: f64) -> ((f64, f64), Vec<f64>) {
     ((low, high), inside)
 }
 
+/// Digits kept past a step's first; float noise sits near the sixteenth.
+const DIGITS: usize = 6;
+
 /// Places after the point that show every multiple of `step` exactly: none for whole steps, four for 0.0025.
 pub(crate) fn decimals(step: f64) -> usize {
     assert!(
         step.is_finite() && step > 0.0,
         "a step is positive, not {step}"
     );
-    let text = format!("{step:.10}");
+    let leading = (-step.log10().floor()).max(0.0) as usize;
+    let text = format!("{step:.*}", leading + DIGITS);
     let fraction = text.split_once('.').map_or("", |(_, fraction)| fraction);
     fraction.trim_end_matches('0').len()
 }
@@ -207,5 +211,6 @@ mod tests {
             1,
             "float noise from a difference drops away"
         );
+        assert_eq!(decimals(1e-11), 11, "a tiny step keeps its places");
     }
 }
diff --git a/src/finance/tests.rs b/src/finance/tests.rs
index 71588b4..1e405a0 100644
--- a/src/finance/tests.rs
+++ b/src/finance/tests.rs
@@ -2,7 +2,7 @@ use std::rc::Rc;
 
 use gpui::{
     AppContext as _, Context, Entity, IntoElement, ParentElement, Render, Styled, TestAppContext,
-    Window, div, px,
+    VisualTestContext, Window, div, px,
 };
 use jiff::Timestamp;
 
@@ -21,7 +21,8 @@ fn candles(count: usize) -> Rc<Vec<Candle>> {
 }
 
 struct Pair {
-    candles: Rc<Vec<Candle>>,
+    first: Rc<Vec<Candle>>,
+    second: Rc<Vec<Candle>>,
     sync: Entity<ChartSync>,
 }
 
@@ -29,18 +30,19 @@ impl Render for Pair {
     fn render(&mut self, _: &mut Window, _: &mut Context<Self>) -> impl IntoElement {
         div()
             .w(px(800.))
-            .child(CandlestickChart::new("first", self.candles.clone()).sync(&self.sync))
-            .child(CandlestickChart::new("second", self.candles.clone()).sync(&self.sync))
+            .child(CandlestickChart::new("first", self.first.clone()).sync(&self.sync))
+            .child(CandlestickChart::new("second", self.second.clone()).sync(&self.sync))
     }
 }
 
-#[gpui::test]
-fn synced_charts_move_their_shared_window_once_per_append(cx: &mut TestAppContext) {
+/// Two synced charts of 40 candles, their shared window held on the newest 20.
+fn held(cx: &mut TestAppContext) -> (Entity<Pair>, Entity<ChartSync>, &mut VisualTestContext) {
     cx.update(Theme::init);
     let sync = cx.new(|_| ChartSync::default());
     let shared = sync.clone();
     let (view, cx) = cx.add_window_view(|_, _| Pair {
-        candles: candles(40),
+        first: candles(40),
+        second: candles(40),
         sync: shared,
     });
     cx.run_until_parked();
@@ -53,14 +55,54 @@ fn synced_charts_move_their_shared_window_once_per_append(cx: &mut TestAppContex
     });
     view.update(cx, |_, cx| cx.notify());
     cx.run_until_parked();
+    (view, sync, cx)
+}
+
+fn start(sync: &Entity<ChartSync>, cx: &mut VisualTestContext) -> f64 {
+    sync.read_with(cx, |sync, _| sync.visible.expect("held").start)
+}
+
+#[gpui::test]
+fn synced_charts_move_their_shared_window_once_per_append(cx: &mut TestAppContext) {
+    let (view, sync, cx) = held(cx);
     view.update(cx, |pair, cx| {
-        pair.candles = candles(45);
+        pair.first = candles(45);
+        pair.second = candles(45);
         cx.notify();
     });
     cx.run_until_parked();
-    let start = sync.read_with(cx, |sync, _| sync.visible.expect("held").start);
     assert_eq!(
-        start, 25.0,
+        start(&sync, cx),
+        25.0,
         "five new candles move the shared window five, not ten"
     );
 }
+
+#[gpui::test]
+fn a_lagging_chart_leaves_the_shared_window_alone(cx: &mut TestAppContext) {
+    let (view, sync, cx) = held(cx);
+    view.update(cx, |pair, cx| {
+        pair.second = candles(45);
+        cx.notify();
+    });
+    cx.run_until_parked();
+    for _ in 0..2 {
+        view.update(cx, |_, cx| cx.notify());
+        cx.run_until_parked();
+    }
+    assert_eq!(
+        (start(&sync, cx), sync.read_with(cx, |sync, _| sync.seen)),
+        (25.0, 45),
+        "redraws while the first chart lags move nothing"
+    );
+    view.update(cx, |pair, cx| {
+        pair.first = candles(45);
+        cx.notify();
+    });
+    cx.run_until_parked();
+    assert_eq!(
+        start(&sync, cx),
+        25.0,
+        "the lagging chart's append is already shown"
+    );
+}