measure: the split's own means are back as above/below/between

`top`, `bottom` and `amplitude` became the *flat levels* in e83ad86 -- the level the
signal dwells at, read from the density of the window's buckets -- and that change kept
the split's own two means as its internal fallback for a window the pyramid cannot
summarize. Those means are now three types of their own, so the two different questions
about one split can be asked side by side: `above %` and `below %` are the plain mean of
the samples on one side of a share -- the reading the old `top`/`bottom` gave -- and
`between % %` is the mean of the band between two shares, which no single split can
answer, because a band's two edges are two thresholds.

Nothing about the arithmetic is new, and nothing is a new pass. `Above`/`Below` are the
`sum[]`/`count[]` split `measure_accumulate()` already folds -- the very figures
`Top`/`Bottom` fall back to -- and `Between` is the **difference of two levels' upper
sides**, both of which come out of one pass two over one window. It rides the bucket
fast path unchanged: a bucket wholly inside the band is strictly above the lower level
and strictly below the upper one, so both accumulators fold it whole, and only the
buckets that straddle either edge are opened. `measure_level_pcts()` is the one place the
shares are read, and it clamps both and puts `between`'s pair **in order**, so "between
80 % and 20 %" is the band between 20 % and 80 % -- normalized rather than refused,
because the shares name two edges rather than a direction. Nothing to measure reads `--`,
as for every other type: a share at 100 % has no sample above it, and a band can hold
none at all.

Measured, `[bandavg-probe]`, fast mock at a 2 s window (`--rate 1300000 --batch 1000
--freq 1`):

  sine   `above 50` 0.636620 (2/pi), `below 50` -0.636620, `between 50 75` 0.255873
  square `above 50` 0.986496 (30 harmonics) / 1.000000 (--square-harmonics 0),
         `between 50 75` 0.302744 / --
  ramp   `between 50 75` 0.250000 and `above 50` 0.500000, `above 100` --

The first three are the figures the old `top`/`bottom` documented; the ramp's are what a
uniform density predicts (a band's mean is its own centre); the ideal square's empty band
is the nothing-to-measure rule. The pane offers the types and edits their percentages
through the dialog's second share -- which only `between` shows -- and a measurement's
pair survives add/edit/delete and the session file (`threshold2`), where a file written
before it existed loads at the default.

No raw pass: with the measurements probe adding one of every type at a 2 s window, `raw`
went from 113966 of 240719031 covered (0.0%) to 134978 of 255372033 (0.1%), 0.8 -> 1.1
ns a covered sample.

Docs: the band-average invariant (and the two assertions the flat-level change moved),
the probe readings for the new probe, the verification recipe, the manual's measurements
page and the README.

CLAUDE.md

@@ -57,7 +57,7 @@ The detail lives in `docs/claude/`. Read the files that touch the area you are e
 | [invariants-rendering.md](docs/claude/invariants-rendering.md) | How the renderer maps a visible range onto samples (never the `dx()` grid), what `gather()` emits and relative to which origin, why every series needs a real `MinMaxPyramid`, and why a dense trace is drawn one pixel column at a time. |
 | [invariants-trigger-and-pinning.md](docs/claude/invariants-trigger-and-pinning.md) | The event window counted in stream seconds end to end, what pins an axis in each mode, and what each pin is measured *from* (the snapshot's own stamps, not the request). |
 | [invariants-time-axis-and-window.md](docs/claude/invariants-time-axis-and-window.md) | **No plot interaction changes the time scale**; `apply_time_window()` is the only path that does; how the x labels pick their form; what a fit restores. |
-| [invariants-measurements.md](docs/claude/invariants-measurements.md) | Why the pane is refreshed on a cadence, why neither pass may read its window raw, and how a crossing is counted with hysteresis. |
+| [invariants-measurements.md](docs/claude/invariants-measurements.md) | Why the pane is refreshed on a cadence, why neither pass may read its window raw, how a crossing is counted with hysteresis, and which mean over a split is which. |
 | [invariants-math-channels.md](docs/claude/invariants-math-channels.md) | A math channel *is* a channel; the engine runs on the producer thread, so a regression there costs packets and not frames; the node editor's own rules. |
 | [invariants-session-and-export.md](docs/claude/invariants-session-and-export.md) | What a session file persists and in what order, when a save is refused, and when an export is collected. |
 | [invariants-gtk-and-chrome.md](docs/claude/invariants-gtk-and-chrome.md) | The GTK signal-signature and dialog-lifetime traps this app has already fallen into, the status bar's two tiers, the six bundled icons and their authoring rules, and how the Mallard manual is opened. |