FA-81676 / MIDI event timing / Open access
Sustain pedal note-off deferral: notes sounding at the end vanish · case 01
Notes still held by the key or pedal when the events end are missing from the output.
ROOT CAUSE
The final flush of still-sounding notes is missing.
THE FAILURE
The final flush of still-sounding notes is missing.
Unsuccessful approach: Flushing only pedal-held notes still loses notes whose keys were never released.
Case contract
Input time-ordered events [tick, kind, value]: kind on/off with a note number, or cc64 with a controller value (pedal down when value >= 64). A note-off while the pedal is down is deferred until the pedal goes up. Re-striking a note that is still sounding ends the previous instance at the new tick. Notes still sounding at the end end at the last event tick. Return sorted [note, start, end] triples.
Why this case matters
MIDI sequencers, file readers and synth drivers depend on exact event ordering and tick/time arithmetic.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
if not isinstance(x, list):
return None
down = False
sounding = {}
held = set()
done = []
last = 0
for tick, kind, value in x:
last = max(last, tick)
if kind == 'cc64':
now_down = value >= 64
if down and not now_down:
for n in sorted(held):
done.append([n, sounding.pop(n), tick])
held = set()
down = now_down
elif kind == 'on':
if value in sounding:
done.append([value, sounding.pop(value), tick])
held.discard(value)
sounding[value] = tick
elif kind == 'off':
if value not in sounding:
continue
if down:
held.add(value)
else:
done.append([value, sounding.pop(value), tick])
else:
return None
done.sort()
return done
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[([[0, 'on', 60], [10, 'off', 60]], [[60, 0, 10]]), ([[0, 'cc64', 127], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 0]], [[60, 0, 20]]), ([[0, 'cc64', 64], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 63]], [[60, 0, 20]]), ([[0, 'cc64', 63], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 0]], [[60, 0, 10]]), ([[0, 'cc64', 100], [0, 'on', 60], [5, 'off', 60], [8, 'on', 60], [12, 'cc64', 0], [30, 'off', 60]], [[60, 0, 8], [60, 8, 30]]), ([[0, 'cc64', 100], [0, 'on', 60], [1, 'on', 64], [5, 'off', 60], [6, 'off', 64], [8, 'on', 60], [12, 'cc64', 0]], [[60, 0, 8], [60, 8, 12], [64, 1, 12]]), ([[0, 'on', 60], [5, 'on', 60], [9, 'off', 60]], [[60, 0, 5], [60, 5, 9]]), ([[0, 'cc64', 127], [0, 'on', 60], [4, 'off', 60], [9, 'on', 62]], [[60, 0, 9], [62, 9, 9]])], [([[0, 'cc64', 63], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 0]], [[60, 0, 10]]), ([[0, 'cc64', 100], [0, 'on', 60], [5, 'off', 60], [8, 'on', 60], [12, 'cc64', 0], [30, 'off', 60]], [[60, 0, 8], [60, 8, 30]]), ([[0, 'cc64', 100], [0, 'on', 60], [1, 'on', 64], [5, 'off', 60], [6, 'off', 64], [8, 'on', 60], [12, 'cc64', 0]], [[60, 0, 8], [60, 8, 12], [64, 1, 12]]), ([[0, 'on', 60], [5, 'on', 60], [9, 'off', 60]], [[60, 0, 5], [60, 5, 9]]), ([[0, 'on', 60], [0, 'on', 64], [7, 'off', 64]], [[60, 0, 7], [64, 0, 7]]), ([[0, 'cc64', 1], [0, 'on', 60], [3, 'off', 60], [9, 'cc64', 0]], [[60, 0, 3]]), ([[0, 'pb', 0]], None), ([], [])], [([[0, 'cc64', 100], [0, 'on', 60], [1, 'on', 64], [5, 'off', 60], [6, 'off', 64], [8, 'on', 60], [12, 'cc64', 0]], [[60, 0, 8], [60, 8, 12], [64, 1, 12]]), ([[0, 'on', 60], [0, 'on', 64], [7, 'off', 64]], [[60, 0, 7], [64, 0, 7]]), ([[0, 'cc64', 127], [0, 'on', 60], [4, 'off', 60], [9, 'on', 62]], [[60, 0, 9], [62, 9, 9]]), ([[0, 'cc64', 1], [0, 'on', 60], [3, 'off', 60], [9, 'cc64', 0]], [[60, 0, 3]]), ([[0, 'pb', 0]], None), ([], []), ([[0, 'cc64', 127], [1, 'on', 50], [2, 'on', 52], [3, 'off', 50], [4, 'off', 52], [5, 'on', 50], [9, 'off', 50], [12, 'cc64', 0]], [[50, 1, 5], [50, 5, 12], [52, 2, 12]]), ([[0, 'cc64', 127], [1, 'on', 50], [2, 'on', 52], [3, 'off', 50], [4, 'off', 52], [5, 'on', 50], [9, 'off', 50], [12, 'cc64', 0], [15, 'on', 70], [16, 'off', 70]], [[50, 1, 5], [50, 5, 12], [52, 2, 12], [70, 15, 16]])], [([[0, 'on', 60], [10, 'off', 60]], [[60, 0, 10]]), ([[0, 'cc64', 127], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 0]], [[60, 0, 20]]), ([[0, 'cc64', 64], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 63]], [[60, 0, 20]]), ([[0, 'cc64', 100], [0, 'on', 60], [1, 'on', 64], [5, 'off', 60], [6, 'off', 64], [8, 'on', 60], [12, 'cc64', 0]], [[60, 0, 8], [60, 8, 12], [64, 1, 12]]), ([[0, 'on', 60], [0, 'on', 64], [7, 'off', 64]], [[60, 0, 7], [64, 0, 7]]), ([[0, 'cc64', 127], [0, 'on', 60], [4, 'off', 60], [9, 'on', 62]], [[60, 0, 9], [62, 9, 9]]), ([[0, 'cc64', 127], [1, 'on', 50], [2, 'on', 52], [3, 'off', 50], [4, 'off', 52], [5, 'on', 50], [9, 'off', 50], [12, 'cc64', 0]], [[50, 1, 5], [50, 5, 12], [52, 2, 12]]), ([[0, 'cc64', 127], [1, 'on', 50], [2, 'on', 52], [3, 'off', 50], [4, 'off', 52], [5, 'on', 50], [9, 'off', 50], [12, 'cc64', 0], [15, 'on', 70], [16, 'off', 70]], [[50, 1, 5], [50, 5, 12], [52, 2, 12], [70, 15, 16]])], [([[0, 'on', 60], [10, 'off', 60]], [[60, 0, 10]]), ([[0, 'cc64', 127], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 0]], [[60, 0, 20]]), ([[0, 'cc64', 64], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 63]], [[60, 0, 20]]), ([[0, 'cc64', 63], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 0]], [[60, 0, 10]]), ([[0, 'cc64', 100], [0, 'on', 60], [5, 'off', 60], [8, 'on', 60], [12, 'cc64', 0], [30, 'off', 60]], [[60, 0, 8], [60, 8, 30]]), ([[0, 'cc64', 100], [0, 'on', 60], [1, 'on', 64], [5, 'off', 60], [6, 'off', 64], [8, 'on', 60], [12, 'cc64', 0]], [[60, 0, 8], [60, 8, 12], [64, 1, 12]]), ([[0, 'on', 60], [0, 'on', 64], [7, 'off', 64]], [[60, 0, 7], [64, 0, 7]]), ([[0, 'cc64', 127], [0, 'on', 60], [4, 'off', 60], [9, 'on', 62]], [[60, 0, 9], [62, 9, 9]])]]
for i, (args, expected) in enumerate(fixtures[N-1]):
check("oracle %d" % i, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| oracle 0 | [[60, 0, 10]] | [[60, 0, 10]] | Passed |
| oracle 1 | [[60, 0, 20]] | [[60, 0, 20]] | Passed |
| oracle 2 | [[60, 0, 20]] | [[60, 0, 20]] | Passed |
| oracle 3 | [[60, 0, 10]] | [[60, 0, 10]] | Passed |
| oracle 4 | [[60, 0, 8], [60, 8, 30]] | [[60, 0, 8], [60, 8, 30]] | Passed |
| oracle 5 | [[60, 0, 8], [64, 1, 12]] | [[60, 0, 8], [60, 8, 12], [64, 1, 12]] | Failed |
| oracle 6 | [[60, 0, 5], [60, 5, 9]] | [[60, 0, 5], [60, 5, 9]] | Passed |
| oracle 7 | [] | [[60, 0, 9], [62, 9, 9]] | Failed |
SHA-256 / ef5f23fe6d764d0b7589c0becb1d38ff197ea88289c2cf21ac08f2e298ee5bd4
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
if not isinstance(x, list):
return None
down = False
sounding = {}
held = set()
done = []
last = 0
for tick, kind, value in x:
last = max(last, tick)
if kind == 'cc64':
now_down = value >= 64
if down and not now_down:
for n in sorted(held):
done.append([n, sounding.pop(n), tick])
held = set()
down = now_down
elif kind == 'on':
if value in sounding:
done.append([value, sounding.pop(value), tick])
held.discard(value)
sounding[value] = tick
elif kind == 'off':
if value not in sounding:
continue
if down:
held.add(value)
else:
done.append([value, sounding.pop(value), tick])
else:
return None
for n in sorted(held):
done.append([n, sounding[n], last])
done.sort()
return done
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[([[0, 'on', 60], [10, 'off', 60]], [[60, 0, 10]]), ([[0, 'cc64', 127], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 0]], [[60, 0, 20]]), ([[0, 'cc64', 64], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 63]], [[60, 0, 20]]), ([[0, 'cc64', 63], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 0]], [[60, 0, 10]]), ([[0, 'cc64', 100], [0, 'on', 60], [5, 'off', 60], [8, 'on', 60], [12, 'cc64', 0], [30, 'off', 60]], [[60, 0, 8], [60, 8, 30]]), ([[0, 'cc64', 100], [0, 'on', 60], [1, 'on', 64], [5, 'off', 60], [6, 'off', 64], [8, 'on', 60], [12, 'cc64', 0]], [[60, 0, 8], [60, 8, 12], [64, 1, 12]]), ([[0, 'on', 60], [5, 'on', 60], [9, 'off', 60]], [[60, 0, 5], [60, 5, 9]]), ([[0, 'cc64', 127], [0, 'on', 60], [4, 'off', 60], [9, 'on', 62]], [[60, 0, 9], [62, 9, 9]])], [([[0, 'cc64', 63], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 0]], [[60, 0, 10]]), ([[0, 'cc64', 100], [0, 'on', 60], [5, 'off', 60], [8, 'on', 60], [12, 'cc64', 0], [30, 'off', 60]], [[60, 0, 8], [60, 8, 30]]), ([[0, 'cc64', 100], [0, 'on', 60], [1, 'on', 64], [5, 'off', 60], [6, 'off', 64], [8, 'on', 60], [12, 'cc64', 0]], [[60, 0, 8], [60, 8, 12], [64, 1, 12]]), ([[0, 'on', 60], [5, 'on', 60], [9, 'off', 60]], [[60, 0, 5], [60, 5, 9]]), ([[0, 'on', 60], [0, 'on', 64], [7, 'off', 64]], [[60, 0, 7], [64, 0, 7]]), ([[0, 'cc64', 1], [0, 'on', 60], [3, 'off', 60], [9, 'cc64', 0]], [[60, 0, 3]]), ([[0, 'pb', 0]], None), ([], [])], [([[0, 'cc64', 100], [0, 'on', 60], [1, 'on', 64], [5, 'off', 60], [6, 'off', 64], [8, 'on', 60], [12, 'cc64', 0]], [[60, 0, 8], [60, 8, 12], [64, 1, 12]]), ([[0, 'on', 60], [0, 'on', 64], [7, 'off', 64]], [[60, 0, 7], [64, 0, 7]]), ([[0, 'cc64', 127], [0, 'on', 60], [4, 'off', 60], [9, 'on', 62]], [[60, 0, 9], [62, 9, 9]]), ([[0, 'cc64', 1], [0, 'on', 60], [3, 'off', 60], [9, 'cc64', 0]], [[60, 0, 3]]), ([[0, 'pb', 0]], None), ([], []), ([[0, 'cc64', 127], [1, 'on', 50], [2, 'on', 52], [3, 'off', 50], [4, 'off', 52], [5, 'on', 50], [9, 'off', 50], [12, 'cc64', 0]], [[50, 1, 5], [50, 5, 12], [52, 2, 12]]), ([[0, 'cc64', 127], [1, 'on', 50], [2, 'on', 52], [3, 'off', 50], [4, 'off', 52], [5, 'on', 50], [9, 'off', 50], [12, 'cc64', 0], [15, 'on', 70], [16, 'off', 70]], [[50, 1, 5], [50, 5, 12], [52, 2, 12], [70, 15, 16]])], [([[0, 'on', 60], [10, 'off', 60]], [[60, 0, 10]]), ([[0, 'cc64', 127], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 0]], [[60, 0, 20]]), ([[0, 'cc64', 64], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 63]], [[60, 0, 20]]), ([[0, 'cc64', 100], [0, 'on', 60], [1, 'on', 64], [5, 'off', 60], [6, 'off', 64], [8, 'on', 60], [12, 'cc64', 0]], [[60, 0, 8], [60, 8, 12], [64, 1, 12]]), ([[0, 'on', 60], [0, 'on', 64], [7, 'off', 64]], [[60, 0, 7], [64, 0, 7]]), ([[0, 'cc64', 127], [0, 'on', 60], [4, 'off', 60], [9, 'on', 62]], [[60, 0, 9], [62, 9, 9]]), ([[0, 'cc64', 127], [1, 'on', 50], [2, 'on', 52], [3, 'off', 50], [4, 'off', 52], [5, 'on', 50], [9, 'off', 50], [12, 'cc64', 0]], [[50, 1, 5], [50, 5, 12], [52, 2, 12]]), ([[0, 'cc64', 127], [1, 'on', 50], [2, 'on', 52], [3, 'off', 50], [4, 'off', 52], [5, 'on', 50], [9, 'off', 50], [12, 'cc64', 0], [15, 'on', 70], [16, 'off', 70]], [[50, 1, 5], [50, 5, 12], [52, 2, 12], [70, 15, 16]])], [([[0, 'on', 60], [10, 'off', 60]], [[60, 0, 10]]), ([[0, 'cc64', 127], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 0]], [[60, 0, 20]]), ([[0, 'cc64', 64], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 63]], [[60, 0, 20]]), ([[0, 'cc64', 63], [0, 'on', 60], [10, 'off', 60], [20, 'cc64', 0]], [[60, 0, 10]]), ([[0, 'cc64', 100], [0, 'on', 60], [5, 'off', 60], [8, 'on', 60], [12, 'cc64', 0], [30, 'off', 60]], [[60, 0, 8], [60, 8, 30]]), ([[0, 'cc64', 100], [0, 'on', 60], [1, 'on', 64], [5, 'off', 60], [6, 'off', 64], [8, 'on', 60], [12, 'cc64', 0]], [[60, 0, 8], [60, 8, 12], [64, 1, 12]]), ([[0, 'on', 60], [0, 'on', 64], [7, 'off', 64]], [[60, 0, 7], [64, 0, 7]]), ([[0, 'cc64', 127], [0, 'on', 60], [4, 'off', 60], [9, 'on', 62]], [[60, 0, 9], [62, 9, 9]])]]
for i, (args, expected) in enumerate(fixtures[N-1]):
check("oracle %d" % i, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| oracle 0 | [[60, 0, 10]] | [[60, 0, 10]] | Passed |
| oracle 1 | [[60, 0, 20]] | [[60, 0, 20]] | Passed |
| oracle 2 | [[60, 0, 20]] | [[60, 0, 20]] | Passed |
| oracle 3 | [[60, 0, 10]] | [[60, 0, 10]] | Passed |
| oracle 4 | [[60, 0, 8], [60, 8, 30]] | [[60, 0, 8], [60, 8, 30]] | Passed |
| oracle 5 | [[60, 0, 8], [64, 1, 12]] | [[60, 0, 8], [60, 8, 12], [64, 1, 12]] | Failed |
| oracle 6 | [[60, 0, 5], [60, 5, 9]] | [[60, 0, 5], [60, 5, 9]] | Passed |
| oracle 7 | [[60, 0, 9]] | [[60, 0, 9], [62, 9, 9]] | Failed |
SHA-256 / 4287ed64e028c8c4f5fd7487e70810c42897b8b316cc01d863c72798bee4d22f
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 8 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.
Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.
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Sign in to the archive ↗Verification & scope
A deterministic bounded teaching model with a stipulated toy contract; it is not a complete Standard MIDI File or MIDI 1.0/2.0 implementation. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.
Observations recorded using Python 3.12.14 at 2026-09-29T14:50:05.120082+00:00.
Case digest / b14f4971e5fa9475d457ef3a204dd3b40dfb940070c73f15b4fa4c94d9ca8cf1