music/exemplars/formula_cards/UNMATCHED__138_Mystery_Gift.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__138_Mystery_Gift",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon Diamond & Pokémon Pearl_ Super M\\138 Mystery Gift.m4a",
"sha256": "fd4771307ded8721d9eaadeef97d9fb5beedbb0b5d1a5c05538c1d17a810bc2d",
"bytes": 1189937,
"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": "2026-08-07T03:04:47+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": 20.107,
"section_boundaries_s": [
0.0,
1.927,
10.681,
17.461,
20.107
],
"section_count": 4,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.9,
"is_repeat": false
},
{
"section": 2,
"most_like_section": 1,
"similarity": 0.9574,
"is_repeat": true
},
{
"section": 3,
"most_like_section": 1,
"similarity": 0.8751,
"is_repeat": false
}
],
"novelty_peak_strength": [
0.9075,
0.7401,
1.0
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 103.36,
"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,
5.57,
5.94,
6.32,
6.69,
7.06,
7.43,
7.8,
8.17,
8.54,
8.92,
9.29,
9.66,
10.03,
10.4,
10.77,
11.15,
11.52,
11.89,
12.26,
12.63,
13.0,
13.37,
13.75,
14.12,
14.49,
14.86,
15.23,
15.6,
15.98,
16.35,
16.72,
17.09,
17.46,
17.83,
18.2,
18.58,
18.95,
19.32,
19.69,
20.06
],
"curve_bpm": [
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
152.0,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
103.36,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0
],
"adjustment_events": [
{
"position_s": 2.09,
"duration_s": 1.83,
"delta_bpm": 5.08,
"shape": "step"
},
{
"position_s": 10.12,
"duration_s": 9.57,
"delta_bpm": 43.03,
"shape": "step"
}
],
"dispersion_bpm": 24.265,
"rubato_depth_bpm": 48.64
},
"global_bpm": 103.36,
"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": 103.36,
"tempo_bpm_median_local": 103.36,
"tempo_iqr_bpm": 0.0,
"tempo_stability": 1.0,
"beat_interval_cv": 0.015
},
"dominant_onset_period_s": 0.9752,
"dominant_onset_period_bpm": 61.52,
"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": 0.412,
"onset_rate_per_s": 10.791
}
},
"tonality": {
"key": "D",
"mode": "major",
"windowed_key_agreement": 0.2,
"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": true,
"onset_s": 0.406,
"onset_bars": 0.18,
"pitch_contour": "--UDUUUD--UDUDU",
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0,
5,
12,
16,
23,
28
],
"intervals": [
0.0,
0.0,
12.0,
-12.0,
5.0,
16.0,
12.0,
-28.0,
0.0,
0.0,
23.0,
-28.0,
5.0,
-5.0,
5.0
],
"range_semitones": 33.0,
"distinctive_deviation": {
"largest_interval_semitones": -28.0,
"at_note_index": 8,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.7728,
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"self_similarity_lift": 0.1395,
"recurrence_lag_s": 0.604,
"interval_3gram_repetition": 0.2,
"interval_4gram_repetition": 0.1304
},
"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"
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"entry_exit_map": [
{
"lane": "sub",
"band_hz": [
20,
45
],
"entry_s": 1.324,
"exit_s": 14.536,
"active_fraction": 0.47,
"segments": [
[
1.324,
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],
[
11.842,
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],
[
13.862,
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]
]
},
{
"lane": "low_bass",
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45,
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"entry_s": 0.348,
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[
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[
2.415,
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],
[
3.274,
4.435
],
[
4.574,
8.313
],
[
11.053,
13.723
],
[
14.164,
14.721
],
[
15.72,
16.765
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.325,
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"active_fraction": 0.8349,
"segments": [
[
0.325,
2.322
],
[
2.485,
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],
[
3.251,
14.745
],
[
14.954,
15.557
],
[
15.72,
17.322
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.348,
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"active_fraction": 0.8453,
"segments": [
[
0.348,
17.322
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.348,
"exit_s": 17.508,
"active_fraction": 0.8614,
"segments": [
[
0.348,
17.508
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.929,
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"active_fraction": 0.8372,
"segments": [
[
0.929,
17.136
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.325,
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"active_fraction": 0.8464,
"segments": [
[
0.325,
17.136
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.325,
"exit_s": 17.531,
"active_fraction": 0.8568,
"segments": [
[
0.325,
17.531
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.325,
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"active_fraction": 0.8626,
"segments": [
[
0.325,
17.647
]
]
}
],
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"sub|mid": 0.5435,
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"low_bass|mid": 0.7709,
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"low_bass|air": 0.784,
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"bass|mid": 0.9304,
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"low_mid|upper_mid": 0.9716,
"low_mid|presence": 0.9771,
"low_mid|brilliance": 0.9865,
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"mid|upper_mid": 0.9561,
"mid|presence": 0.9746,
"mid|brilliance": 0.9893,
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1.115,
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11.146,
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12.074,
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13.375,
13.56,
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14.118,
14.303,
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14.861,
15.047,
15.232,
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16.161,
16.347,
16.533,
16.718,
16.904,
17.09,
17.276,
17.461,
17.647,
17.833,
18.019,
18.204,
18.39,
18.576,
18.762,
18.947,
19.133,
19.319,
19.505,
19.691,
19.876,
20.062
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"lanes": [
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8,
9,
8,
8,
9,
9,
9,
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8,
7,
9,
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],
"max": 9,
"mean": 7.097
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"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.8338,
"at_s": 16.765,
"db_delta": -4.77,
"lanes_removed": 1.52,
"bars_held_s": 2.74,
"re_enters_at_s": 19.505
},
{
"position": 0.8938,
"at_s": 17.972,
"db_delta": -6.87,
"lanes_removed": 2.09,
"bars_held_s": 1.533,
"re_enters_at_s": 19.505
},
{
"position": 0.9539,
"at_s": 19.18,
"db_delta": -17.44,
"lanes_removed": -0.0,
"bars_held_s": 0.325,
"re_enters_at_s": 19.505
}
],
"raises": [
{
"position": 0.03,
"start_s": 0.604,
"end_s": 15.163,
"db_delta": 33.33,
"lanes_added": 4.21,
"slope_db_per_s": 2.289
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.302
},
{
"position": 0.9308,
"at_s": 18.715,
"duration_s": 1.37
}
],
"tuttis": [
{
"position": 0.0658,
"at_s": 1.324,
"duration_s": 0.813,
"lanes": 9
},
{
"position": 0.589,
"at_s": 11.842,
"duration_s": 1.347,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.0855,
"seconds": 1.718,
"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": 2
}
},
"opening_and_flow_law": {
"onset_type": "fade_in",
"first_sound_at_s": 0.325,
"time_to_hook_s": 0.406,
"time_to_hook_bars": 0.18,
"time_to_full_texture_s": 0.348,
"time_to_full_texture_bars": 0.15,
"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,
5.94,
6.69,
7.43,
8.17,
8.92,
9.66,
10.4,
11.15,
11.89,
12.63,
13.37,
14.12,
14.86,
15.6,
16.35,
17.09,
17.83,
18.58,
19.32,
20.06
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"values": [
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0.6202,
0.7044,
0.6903,
0.6701,
0.708,
0.68,
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0.7523,
0.7301,
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0.6909,
0.5572,
0.5597,
0.4515,
0.1341,
0.0834,
0.0521,
0.149
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"peak_position_normalised": 0.5838
}
},
"complexity_law": {
"available": true,
"bar_length_s": 2.322,
"bars": 8,
"index_per_bar": [
0.8979,
0.9699,
0.9902,
0.9783,
0.9431,
1.0,
0.9514,
0.6631
],
"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": 7,
"at_s": 16.25,
"delta": -0.288,
"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": {
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"melodic_salience": 0.864,
"voiced_fraction": 0.6062,
"note_count": 73,
"mean_lanes": 7.097,
"max_lanes": 9
},
"dynamics": {
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"peak_position_normalised": 0.5283,
"peak_at_s": 10.612,
"arc_curve_db": [
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-12.79,
-12.05,
-11.11,
-11.86,
-12.57,
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-11.23,
-11.85,
-13.06,
-15.12,
-17.79,
-23.3,
-31.65,
-45.72,
-65.11,
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"arc_times_s": [
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0.74,
1.49,
2.23,
2.97,
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5.2,
5.94,
6.69,
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16.35,
17.09,
17.83,
18.58,
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},
"register": {
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"melody_tessitura_midi": 43.0,
"bass_floor_band": {
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"low_bass": 0.08586,
"bass": 0.19505,
"low_mid": 0.26424,
"mid": 0.41975,
"upper_mid": 0.02848,
"presence": 0.00222,
"brilliance": 0.00174,
"air": 0.00063,
"ultra": 0.0
},
"octave_band_profile": {
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"low_bass": 0.08586,
"bass": 0.19505,
"low_mid": 0.26424,
"mid": 0.41975,
"upper_mid": 0.02848,
"presence": 0.00222,
"brilliance": 0.00174,
"air": 0.00063,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 0.3634,
"interior_distance_median": 0.04738,
"seam_ratio": 7.67,
"seam_clean": false,
"tail_rms_over_mid": 0.0004,
"head_rms_over_mid": 0.0002,
"tail_rms_trend": -0.7939,
"head_rms_trend": 0.4681,
"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": {
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"spectral_centroid_curve_hz": [
930.4,
1131.9,
745.8,
1089.9,
1436.6,
1173.3,
1376.4,
963.7,
1225.8,
858.7,
1239.8,
995.5,
1326.7,
815.6,
1050.4,
907.3,
841.2,
1141.7,
1202.8,
904.4,
2236.2,
1334.8,
1109.6,
984.3,
1104.5,
842.6,
592.9,
1788.8
],
"spectral_rolloff85_hz_mean": 1643.1,
"spectral_flatness_mean": 0.00213,
"signature_colour": "dark"
}
}
}