re: the declared timeline DOES reproduce the splash -- and the unit rate is per-GamePart

Two results, one of which corrects me.

1. The R1-re-opened 'declared keyframe timeline reproduces the captured
splash' resolves in FAVOUR of the declared timeline. Instrument is a disc
keyframe table against the guest's vertex stream -- no renderer in the chain,
which is what the 'our-reader' tag demanded. Calibration-free test: is each
captured alpha an exact member of the declared piecewise-linear value set at
integer t? 39/50 exact under truncation, 30/50 under rounding, and the worst
error under either rule is ONE alpha level in 255. All 11 non-exact samples
are low by exactly 1 and all are on falling segments. The old refutation
rested on 'still at a=255 nine frames after its declared a=32' -- under the
fixed layout a=32 is at t=206, four units from the end of a 210-unit
timeline. That was the off-by-one association.

2. The unit->seconds rate is PER-GAMEPART, which corrects what I told the
port an hour ago. Title ~57 units/guest-second; splash ~35-40. The splash
figure is confirmed two ways that share no algebra: a 15-unit ramp (T read
off the disc, not borrowed) and a 160-unit HOLD, which is a declared
duration with no T, no alpha slope and no interpolation in it.

And my 'the borrowed T=15 does not apply' was wrong in the other direction:
the disc says T=15 plainly. What failed was the premise of a single global
rate, not the T. Noted at the foot of that page rather than by editing it.

The trap worth recording: all four elements give 650-679 alpha/s, agreeing
to 2%, which reads exactly like one clock. It is a coincidence -- T differs
22 vs 15 and the rates differ 57 vs 37, and the ratios nearly cancel. A
quantity that looks constant across screens is not evidence of one clock
when the thing that would vary is inside it. The hold breaks the tie.

For the port: a single keyframe_units_per_second cannot be right, and a
splash played at 60 runs 1.5-1.7x too fast -- shorter, sharper fades than
the game's, which is the direction the play-test reported.

docs/re/INDEX.md

@@ -137,6 +137,7 @@ files, which is how the same ground got covered twice.
 | [`structures/stage-mission-tables.md`](structures/stage-mission-tables.md) | The stage table set — phases, routes, sub-objectives and AI parameters | ✅ the table set and how the stage record reaches it, validated across; **`AIParams` disc-wide: 23 objects, one shared 34-profile roster (782 records), loader `sub_8233C368`; `Type`→field-count holds except the two `_Test` templates** |
 | [`structures/texture-color-k8888.md`](structures/texture-color-k8888.md) | Texture colour interpretation — `k_8_8_8_8` (32bpp UI/HUD textures) | — |
 | [`ui-keyframe-time-unit.md`](ui-keyframe-time-unit.md) | What a keyframe time is worth, and what shape the ramp has |  ✅ CONFIRMED from the running game's own draw stream — the ramp is **linear** (a declared 15-unit fade lands on `round(255·k/15)` for all seven samples) and the animation clock advances **2 time units per submitted frame**. 🟡 the seconds conversion (`1 unit = 1/60 s`) rests on a measured 27.6 present-frames/second |
+| [`splash-declared-vs-captured.md`](splash-declared-vs-captured.md) | Does the declared keyframe timeline reproduce the captured splash, and is the unit rate global? | ✅ **YES, to ONE alpha level, 2026-09-01** — settles the R1-re-opened 🟡 `⟨our-reader⟩` entry with a disc-table-vs-vertex-stream comparison, **no renderer in the chain**. 50 captured alphas: 39 exact under truncation (30 under rounding), **max error 1 level in 255 (0.39 %)**, and all 11 non-exact are low by exactly 1 on falling segments. The old ❌ rested on an `a=32` that the fixed record layout puts at t=206, four units from the end. 🔴 **AND: the unit→seconds rate is PER-GAMEPART.** Title ~**57** units/guest-second; splash **~35–40**, confirmed two ways sharing no algebra — a 15-unit ramp *and* a **160-unit hold**, which has no `T` in it. The near-equal α/s across all four elements (650–679) is a coincidence: `T` 22-vs-15 and rate 57-vs-37 nearly cancel. ⚠️ A single `keyframe_units_per_second` is wrong; a splash played at 60 runs **1.5–1.7× too fast**. Classified **measured** — nothing on the disc states a rate. |
 | [`units-per-second-measured.md`](units-per-second-measured.md) + [pre-reg](units-per-second-preregistration.md) | Is the animation clock frame-counted or time-integrated, and at what rate | 🟡 **half-answered, 2026-09-01, one prediction HELD and one FAILED.** ✅ **The clock is NOT frame-counted**: the same animation takes 21 labels in one capture and 33 in another, and splash A's logo steps `+136,+34` in one and `+17,+51,+34,+34,+17,+17` in the other. Steps are always integer multiples of **17** (255/15 = one unit), so the clock advances in whole units at a rate set by frame duration. 📌 **This retires "2 units per submitted frame" as a MECHANISM** — 2 was that run's frame pacing, so `units = 2 × frames` computes an emulator artefact. ✅ **RESOLVED later the same iteration: 56.8 units per guest second**, on `ptbtn00`'s ramp with the clamped final step excluded, `T=22` attested by two readers with no clock in the chain — **inside the pre-registered 55–65 band; 30 and 120 both excluded**. Control passed at **1.15 %**: `ptcopyright` gives 650.4 α/s against the plate's 657.9, implying its own `T=22.25`. The earlier 29.9 was a borrowed `T=15` that does not apply to those elements (implied `T` there is 23–34). ⚠️ `60` is **not** refuted — 5.6 % away against ~5 % quantisation — so the port keeps it; but the unit constant is eliminated as a cause of a late plate (t=236 → 4.15 s vs the port's 3.93 s, i.e. fractionally *early*). Instrument: guest timebase (50 MHz, scalar 1.0), control passed — 123.24 guest s over ~118 wall s. |
 | [`h3-units-per-frame-measured.md`](h3-units-per-frame-measured.md) | How many keyframe units elapse per guest frame, and which declared time the title's settle anchor is | ✅ **measured against a pre-registration, 2026-09-01. 2 units per guest frame**, on `ptbtn00`'s own declared ramp (`t=214→236`, T=22): three consecutive gap-free steps of **exactly 23** = 255×2/22, ramp span 10 labels against a predicted 11 (±1). The Port's inferred **5 is excluded by >2×**. 🔴 Why 5 appeared: **an alpha step is not a clock rate** — `Δα/frame = 255·(units/frame)/T`, so splash B's 34-with-T=15 and the plate's 23-with-T=22 are ONE clock. Also: the **title settle anchor is t≈160**, not t=118 — it is `ptcopyright`, the last build-in element and the only glyph one, full at label 5350 → t≈168–176. 🔴 **units/SECOND is NOT settled** and two of my own captures disagree ~2.9× on it; the gap is in frames→seconds, not units→frames. |
 | [`h3-units-per-frame-preregistration.md`](h3-units-per-frame-preregistration.md) | The prediction, committed before the capture was read | ✅ kept as the control on the row above |