music/exemplars/formula_cards/UNMATCHED__11_Obtained_a_Key_Item_.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__11_Obtained_a_Key_Item_",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon Black & Pokémon White_ Super Mus\\11 Obtained a Key Item!.m4a",
"sha256": "88d3988c0e4b16e084c2b735824f69d3693de8838bb13937972c08f467162801",
"bytes": 659982,
"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": "2026-08-07T01:38:13+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": 4.347,
"section_boundaries_s": [
0.0,
1.579,
4.347
],
"section_count": 2,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.9255,
"is_repeat": true
}
],
"novelty_peak_strength": [
1.0
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 83.35,
"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
],
"curve_bpm": [
83.35,
83.35,
83.35,
83.35,
83.35,
83.35,
83.35,
83.35,
172.27,
172.27,
172.27,
172.27
],
"adjustment_events": [
{
"position_s": 1.93,
"duration_s": 2.41,
"delta_bpm": 38.18,
"shape": "step"
}
],
"dispersion_bpm": 42.438,
"rubato_depth_bpm": 88.911
},
"global_bpm": 172.27,
"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": 172.27,
"tempo_bpm_median_local": 83.35,
"tempo_iqr_bpm": 88.91,
"tempo_stability": 0.0,
"beat_interval_cv": 0.0307
},
"dominant_onset_period_s": 0.1858,
"dominant_onset_period_bpm": 323.0,
"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": 0.591,
"onset_rate_per_s": 10.767
}
},
"tonality": {
"key": "D#",
"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": true,
"onset_s": 0.557,
"onset_bars": 0.19,
"pitch_contour": "UDUDUD",
"interval_vocabulary_semitones": [
23,
24,
27,
28,
29,
31
],
"intervals": [
28.0,
-23.0,
24.0,
-27.0,
29.0,
-31.0
],
"range_semitones": 31.0,
"distinctive_deviation": {
"largest_interval_semitones": -31.0,
"at_note_index": 6,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.7819,
"self_similarity_baseline": 0.7119,
"self_similarity_lift": 0.07,
"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": 0.488,
"exit_s": 2.113,
"active_fraction": 0.3777,
"segments": [
[
0.488,
2.113
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 0.488,
"exit_s": 2.159,
"active_fraction": 0.3883,
"segments": [
[
0.488,
2.159
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.488,
"exit_s": 2.531,
"active_fraction": 0.4734,
"segments": [
[
0.488,
2.531
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.488,
"exit_s": 2.159,
"active_fraction": 0.3883,
"segments": [
[
0.488,
2.159
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.488,
"exit_s": 2.136,
"active_fraction": 0.383,
"segments": [
[
0.488,
2.136
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.488,
"exit_s": 2.438,
"active_fraction": 0.4521,
"segments": [
[
0.488,
2.438
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.488,
"exit_s": 2.252,
"active_fraction": 0.4096,
"segments": [
[
0.488,
2.252
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.488,
"exit_s": 2.206,
"active_fraction": 0.3989,
"segments": [
[
0.488,
2.206
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.488,
"exit_s": 2.183,
"active_fraction": 0.3936,
"segments": [
[
0.488,
2.183
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.9726,
"sub|bass": 0.7978,
"sub|low_mid": 0.9726,
"sub|mid": 0.9861,
"sub|upper_mid": 0.8353,
"sub|presence": 0.9221,
"sub|brilliance": 0.9467,
"sub|air": 0.9595,
"low_bass|bass": 0.8202,
"low_bass|low_mid": 1.0,
"low_bass|mid": 0.9863,
"low_bass|upper_mid": 0.8588,
"low_bass|presence": 0.9481,
"low_bass|brilliance": 0.9733,
"low_bass|air": 0.9865,
"bass|low_mid": 0.8202,
"bass|mid": 0.809,
"bass|upper_mid": 0.9551,
"bass|presence": 0.8652,
"bass|brilliance": 0.8427,
"bass|air": 0.8315,
"low_mid|mid": 0.9863,
"low_mid|upper_mid": 0.8588,
"low_mid|presence": 0.9481,
"low_mid|brilliance": 0.9733,
"low_mid|air": 0.9865,
"mid|upper_mid": 0.8471,
"mid|presence": 0.9351,
"mid|brilliance": 0.96,
"mid|air": 0.973,
"upper_mid|presence": 0.9059,
"upper_mid|brilliance": 0.8824,
"upper_mid|air": 0.8706,
"presence|brilliance": 0.974,
"presence|air": 0.961,
"brilliance|air": 0.9867
},
"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
],
"lanes": [
0,
0,
0,
9,
9,
9,
9,
9,
9,
9,
9,
9,
3,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 3.665
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.4167,
"at_s": 1.811,
"db_delta": -4.33,
"lanes_removed": 2.57,
"bars_held_s": 1.95,
"re_enters_at_s": 3.762
},
{
"position": 0.6945,
"at_s": 3.019,
"db_delta": -26.36,
"lanes_removed": 0.34,
"bars_held_s": 0.743,
"re_enters_at_s": 3.762
}
],
"raises": [
{
"position": 0.1389,
"start_s": 0.604,
"end_s": 1.672,
"db_delta": 128.0,
"lanes_added": 7.22,
"slope_db_per_s": 119.833
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.441
},
{
"position": 0.6517,
"at_s": 2.833,
"duration_s": 1.509
}
],
"tuttis": [
{
"position": 0.1442,
"at_s": 0.627,
"duration_s": 1.393,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.4574,
"seconds": 1.988,
"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": 2,
"raises": 1,
"breaks": 2,
"tuttis": 1
}
},
"opening_and_flow_law": {
"onset_type": "cold_statement",
"first_sound_at_s": 0.464,
"time_to_hook_s": 0.557,
"time_to_hook_bars": 0.19,
"time_to_full_texture_s": 0.488,
"time_to_full_texture_bars": 0.17,
"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
],
"values": [
0.0965,
0.7223,
0.8348,
0.4232,
0.1142,
0.0582
],
"peak_position_normalised": 0.3529
}
},
"complexity_law": {
"available": false,
"reason": "track is under two bars at 83.3 bpm"
},
"texture_and_density": {
"note_rate_per_s": 1.61,
"melodic_salience": 0.7601,
"voiced_fraction": 0.3013,
"note_count": 7,
"mean_lanes": 3.665,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 189.67,
"peak_position_normalised": 0.2941,
"peak_at_s": 1.277,
"arc_curve_db": [
-62.04,
-68.0,
-12.16,
-25.95,
-56.39,
-109.32
],
"arc_times_s": [
0.0,
0.74,
1.49,
2.23,
2.97,
3.72
]
},
"register": {
"melody_span_semitones": 31.0,
"melody_tessitura_midi": 56.0,
"bass_floor_band": {
"sub": 6e-05,
"low_bass": 0.00057,
"bass": 0.05552,
"low_mid": 0.02082,
"mid": 0.28943,
"upper_mid": 0.6107,
"presence": 0.00382,
"brilliance": 0.01231,
"air": 0.00667,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 6e-05,
"low_bass": 0.00057,
"bass": 0.05552,
"low_mid": 0.02082,
"mid": 0.28943,
"upper_mid": 0.6107,
"presence": 0.00382,
"brilliance": 0.01231,
"air": 0.00667,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.1714,
"seam_ratio": 5.834,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.7663,
"head_rms_trend": 0.7392,
"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": 1341.7,
"spectral_centroid_curve_hz": [
0.0,
2355.3,
2670.1,
1873.1,
964.7,
875.2
],
"spectral_rolloff85_hz_mean": 2836.4,
"spectral_flatness_mean": 0.22076,
"signature_colour": "warm"
}
}
}