music/exemplars/formula_cards/UNMATCHED__186_Tile_Puzzle_Complete_.json
{
"schema": "formula-card/v1",
"consumer": "docs/proposals/music/MASTERPIECE_PROGRAM.md rung 2 (the archetype synthesis -> MASTERPIECE_STANDARD.md)",
"tier": "RUNG-1 MEASURED",
"legal_posture": "ANALYSIS FOR UNDERSTANDING ONLY. Audio lawfully obtained by Josh, read from disk, measured, and never copied, redistributed, or used as model input of any kind.",
"track_id": "UNMATCHED__186_Tile_Puzzle_Complete_",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon X & Pokémon Y_ Super Music Colle\\186 Tile Puzzle Complete!.m4a",
"sha256": "4ef82e945efa0786b2fa588cb60b7849fc89f89ca46d39490d406fa0fbb8abe3",
"bytes": 675006,
"source_format": "mov,mp4,m4a,3gp,3g2,mj2",
"source_codec": "aac",
"source_sample_rate_hz": 44100,
"source_channels": 2,
"lossless_source": false,
"analysis_sample_rate_hz": 22050,
"decoder": "ffmpeg.exe :: ffmpeg version 9.0-full_build-www.gyan.dev Copyright (c) 2000-2026 the FFmpeg developers",
"measured_at": "2026-08-07T04:06:42+00:00",
"format_induced_limit": "lossy source (aac); high-band timbre figures carry codec artefacts and the card declares it",
"control": {
"controls_passed": 24,
"controls_total": 24,
"ran_at": "2026-08-06T20:41:42+00:00",
"ffmpeg_version": "ffmpeg version 9.0-full_build-www.gyan.dev Copyright (c) 2000-2026 the FFmpeg developers",
"note": "This measurement is admissible only because the positive control recovered its planted answers in the same process, immediately before it."
},
"card": {
"duration_and_structure": {
"total_length_s": 5.387,
"section_boundaries_s": [
0.0,
0.627,
5.387
],
"section_count": 2,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.8291,
"is_repeat": false
}
],
"novelty_peak_strength": [
1.0
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 99.38,
"curve_times_s": [
0.0,
0.37,
0.74,
1.11,
1.49,
1.86,
2.23,
2.6,
2.97,
3.34,
3.72,
4.09,
4.46,
4.83,
5.2
],
"curve_bpm": [
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
99.38,
258.4,
258.4,
258.4,
258.4,
258.4
],
"adjustment_events": [
{
"position_s": 2.65,
"duration_s": 2.74,
"delta_bpm": 81.3,
"shape": "step"
}
],
"dispersion_bpm": 74.447,
"rubato_depth_bpm": 159.014
},
"global_bpm": 99.38,
"octave_ambiguity_note": "Beat trackers pick a metrical level, and half/double-time readings are a real and known property, not an error -- the rig's own control plants 120 bpm and this estimator returns 60. Every bar figure on this card (time-to-hook in bars, the complexity index's bar length) inherits whichever level was picked, so compare bar counts within a card, never across cards, until rung 2 pins the metrical level per class.",
"windowed_tempo_stability": {
"tempo_bpm_global": 99.38,
"tempo_bpm_median_local": 99.38,
"tempo_iqr_bpm": 0.0,
"tempo_stability": 1.0,
"beat_interval_cv": 0.0
},
"dominant_onset_period_s": 0.1161,
"dominant_onset_period_bpm": 516.8,
"metre": {
"assumed": "4/4",
"measured": null,
"note": "Bar arithmetic on this card uses 4 beats per bar at the baseline tempo. The onset period beside it is MEASURED; the signature is not."
},
"groove": {
"swing_ratio": 0.527,
"onset_rate_per_s": 10.72
}
},
"tonality": {
"key": "B",
"mode": "major",
"windowed_key_agreement": 1.0,
"modulation_note": "Windowed key agreement below ~0.7 is the modulation signal at rung 1; a pivot-chord map needs symbolic transcription (rung 2)."
},
"the_hook": {
"available": false,
"reason": "only 0 melodic notes extracted"
},
"motif_economy": {
"self_similarity_peak": 0.9287,
"self_similarity_baseline": 0.8874,
"self_similarity_lift": 0.0414,
"recurrence_lag_s": 0.464,
"interval_3gram_repetition": 0.0,
"interval_4gram_repetition": 0.0
},
"lane_analysis": {
"method": "spectral_band_proxy",
"confidence": "LOW-FOR-ROSTER, USABLE-FOR-ARRANGEMENT",
"method_note": "Section 11.1 requires the lane method be declared. Bands are not instruments: two instruments in one octave read as one lane, and one instrument spanning two octaves reads as two. Entry/exit and simultaneity shapes are trustworthy; a roster is not claimed.",
"lane_roster_bands": [
"sub",
"low_bass",
"bass",
"low_mid",
"mid",
"upper_mid",
"presence",
"brilliance",
"air",
"ultra"
],
"entry_exit_map": [
{
"lane": "sub",
"band_hz": [
20,
45
],
"entry_s": 0.627,
"exit_s": 2.206,
"active_fraction": 0.2961,
"segments": [
[
0.627,
2.206
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 0.627,
"exit_s": 2.415,
"active_fraction": 0.3348,
"segments": [
[
0.627,
2.415
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.627,
"exit_s": 2.392,
"active_fraction": 0.3305,
"segments": [
[
0.627,
2.392
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.627,
"exit_s": 2.485,
"active_fraction": 0.3476,
"segments": [
[
0.627,
2.485
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.511,
"exit_s": 2.392,
"active_fraction": 0.3519,
"segments": [
[
0.511,
2.392
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.511,
"exit_s": 2.438,
"active_fraction": 0.3605,
"segments": [
[
0.511,
2.438
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.534,
"exit_s": 2.438,
"active_fraction": 0.3562,
"segments": [
[
0.534,
2.438
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.534,
"exit_s": 2.415,
"active_fraction": 0.3519,
"segments": [
[
0.534,
2.415
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.627,
"exit_s": 2.276,
"active_fraction": 0.309,
"segments": [
[
0.627,
2.276
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.8846,
"sub|bass": 0.8961,
"sub|low_mid": 0.8519,
"sub|mid": 0.8415,
"sub|upper_mid": 0.8214,
"sub|presence": 0.8313,
"sub|brilliance": 0.8415,
"sub|air": 0.9583,
"low_bass|bass": 0.9872,
"low_bass|low_mid": 0.963,
"low_bass|mid": 0.9277,
"low_bass|upper_mid": 0.9286,
"low_bass|presence": 0.9398,
"low_bass|brilliance": 0.9512,
"low_bass|air": 0.9231,
"bass|low_mid": 0.9506,
"bass|mid": 0.939,
"bass|upper_mid": 0.9167,
"bass|presence": 0.9277,
"bass|brilliance": 0.939,
"bass|air": 0.9351,
"low_mid|mid": 0.8953,
"low_mid|upper_mid": 0.9186,
"low_mid|presence": 0.9294,
"low_mid|brilliance": 0.9176,
"low_mid|air": 0.8889,
"mid|upper_mid": 0.9762,
"mid|presence": 0.9643,
"mid|brilliance": 0.9759,
"mid|air": 0.878,
"upper_mid|presence": 0.9881,
"upper_mid|brilliance": 0.9762,
"upper_mid|air": 0.8571,
"presence|brilliance": 0.988,
"presence|air": 0.8675,
"brilliance|air": 0.878
},
"simultaneity_curve": {
"times_s": [
0.0,
0.186,
0.372,
0.557,
0.743,
0.929,
1.115,
1.3,
1.486,
1.672,
1.858,
2.043,
2.229,
2.415,
2.601,
2.786,
2.972,
3.158,
3.344,
3.529,
3.715,
3.901,
4.087,
4.272,
4.458,
4.644,
4.83,
5.016,
5.201,
5.387
],
"lanes": [
0,
0,
0,
4,
9,
9,
9,
9,
9,
9,
9,
9,
8,
5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 3.039
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.3534,
"at_s": 1.904,
"db_delta": -5.95,
"lanes_removed": 1.67,
"bars_held_s": 2.902,
"re_enters_at_s": 4.807
},
{
"position": 0.5776,
"at_s": 3.111,
"db_delta": -14.87,
"lanes_removed": 0.17,
"bars_held_s": 1.695,
"re_enters_at_s": 4.807
},
{
"position": 0.8017,
"at_s": 4.319,
"db_delta": -19.87,
"lanes_removed": -0.0,
"bars_held_s": 0.488,
"re_enters_at_s": 4.807
}
],
"raises": [
{
"position": 0.1121,
"start_s": 0.604,
"end_s": 1.765,
"db_delta": 134.06,
"lanes_added": 7.72,
"slope_db_per_s": 115.467
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.464
},
{
"position": 0.5905,
"at_s": 3.181,
"duration_s": 2.206
}
],
"tuttis": [
{
"position": 0.1379,
"at_s": 0.743,
"duration_s": 1.416,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.5021,
"seconds": 2.705,
"threshold": "40 dB below the track's own p95 RMS",
"note": "Section 11.2 treats rest as a FIRST-CLASS parameter, not an absence."
},
"counts": {
"drops": 3,
"raises": 1,
"breaks": 2,
"tuttis": 1
}
},
"opening_and_flow_law": {
"onset_type": "fade_in",
"first_sound_at_s": 0.488,
"time_to_hook_s": null,
"time_to_hook_bars": null,
"time_to_full_texture_s": 0.627,
"time_to_full_texture_bars": 0.26,
"flow_curve": {
"definition": "energy = 0.45*density + 0.35*lane-simultaneity + 0.20*register, each normalised to the track's own maximum (section 11.4)",
"times_s": [
0.0,
0.74,
1.49,
2.23,
2.97,
3.72,
4.46,
5.2
],
"values": [
0.0695,
0.6341,
0.735,
0.5743,
0.1054,
0.0373,
0.0904,
0.0
],
"peak_position_normalised": 0.3103
}
},
"complexity_law": {
"available": true,
"bar_length_s": 2.415,
"bars": 2,
"index_per_bar": [
1.0,
0.1346
],
"definition": "lane count + 4*harmonic change rate + 0.6*onset strength + 0.4*register span, per bar, normalised to the track's own maximum (section 11.6)",
"step_map": [
{
"bar": 1,
"at_s": 2.41,
"delta": -0.865,
"at_section_boundary": true
}
],
"steps_at_section_boundaries": 1,
"steps_total": 1,
"boundary_step_share": 1.0,
"hypothesis_note": "Section 11.6 expects masterpieces to step complexity AT structural boundaries and hold it flat inside sections. This share is the measurement of that claim on this track; the corpus decides, not us."
},
"texture_and_density": {
"note_rate_per_s": 0.0,
"melodic_salience": 0.0,
"voiced_fraction": 0.0043,
"note_count": 0,
"mean_lanes": 3.039,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 192.97,
"peak_position_normalised": 0.2629,
"peak_at_s": 1.416,
"arc_curve_db": [
-63.84,
-68.19,
-9.1,
-20.95,
-42.33,
-61.67,
-100.1,
-89.95
],
"arc_times_s": [
0.0,
0.74,
1.49,
2.23,
2.97,
3.72,
4.46,
5.2
]
},
"register": {
"melody_span_semitones": null,
"melody_tessitura_midi": null,
"bass_floor_band": {
"sub": 0.0259,
"low_bass": 0.14456,
"bass": 0.10895,
"low_mid": 0.09243,
"mid": 0.11301,
"upper_mid": 0.1971,
"presence": 0.26725,
"brilliance": 0.04139,
"air": 0.00752,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.0259,
"low_bass": 0.14456,
"bass": 0.10895,
"low_mid": 0.09243,
"mid": 0.11301,
"upper_mid": 0.1971,
"presence": 0.26725,
"brilliance": 0.04139,
"air": 0.00752,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.02705,
"seam_ratio": 36.971,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.9047,
"head_rms_trend": 0.8766,
"baked_fade_out": true,
"baked_fade_in": true
},
"ending": "baked_fade_out",
"cadence_census_note": "A cadence census needs harmonic transcription and is a rung-2 dimension; the seam measurement is what rung 1 can honestly report about how it ends."
},
"timbre": {
"spectral_centroid_hz_mean": 1526.3,
"spectral_centroid_curve_hz": [
0.0,
2406.0,
2597.1,
2050.2,
1049.6,
934.3,
2398.5,
0.0
],
"spectral_rolloff85_hz_mean": 3168.2,
"spectral_flatness_mean": 0.18453,
"signature_colour": "warm"
}
}
}