music/exemplars/formula_cards/UNMATCHED__47_Received_a_League_Gym_Badge.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__47_Received_a_League_Gym_Badge",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon Black & Pokémon White_ Super Mus\\47 Received a League Gym Badge.m4a",
"sha256": "ea7fce15fe8b75a46e5fe99fa132e388321f4412480b773266f764e9d3669f49",
"bytes": 784086,
"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": "2026-08-07T02:20:09+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": 6.8,
"section_boundaries_s": [
0.0,
0.65,
6.8
],
"section_count": 2,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.7378,
"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": 143.55,
"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
],
"curve_bpm": [
123.05,
123.05,
123.05,
123.05,
123.05,
123.05,
123.05,
143.55,
143.55,
143.55,
143.55,
143.55,
143.55,
143.55,
143.55,
143.55,
143.55,
143.55,
287.11
],
"adjustment_events": [
{
"position_s": 0.0,
"duration_s": 2.69,
"delta_bpm": -28.22,
"shape": "ramp"
}
],
"dispersion_bpm": 27.707,
"rubato_depth_bpm": 20.508
},
"global_bpm": 143.55,
"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": 143.55,
"tempo_bpm_median_local": 143.55,
"tempo_iqr_bpm": 20.51,
"tempo_stability": 0.4286,
"beat_interval_cv": 0.0623
},
"dominant_onset_period_s": 0.1625,
"dominant_onset_period_bpm": 369.14,
"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": 0.685,
"onset_rate_per_s": 10.73
}
},
"tonality": {
"key": "D",
"mode": "minor",
"windowed_key_agreement": 0.5,
"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 1 melodic notes extracted"
},
"motif_economy": {
"self_similarity_peak": 0.8614,
"self_similarity_baseline": 0.7437,
"self_similarity_lift": 0.1177,
"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": 0.65,
"exit_s": 5.085,
"active_fraction": 0.6553,
"segments": [
[
0.65,
5.085
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 0.697,
"exit_s": 5.132,
"active_fraction": 0.6553,
"segments": [
[
0.697,
5.132
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.65,
"exit_s": 5.248,
"active_fraction": 0.6792,
"segments": [
[
0.65,
5.248
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.65,
"exit_s": 5.294,
"active_fraction": 0.686,
"segments": [
[
0.65,
5.294
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.511,
"exit_s": 5.271,
"active_fraction": 0.7031,
"segments": [
[
0.511,
5.271
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.511,
"exit_s": 5.271,
"active_fraction": 0.7031,
"segments": [
[
0.511,
5.271
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.511,
"exit_s": 5.317,
"active_fraction": 0.7099,
"segments": [
[
0.511,
5.317
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.534,
"exit_s": 5.294,
"active_fraction": 0.7031,
"segments": [
[
0.534,
5.294
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.534,
"exit_s": 5.271,
"active_fraction": 0.6997,
"segments": [
[
0.534,
5.271
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.9794,
"sub|bass": 0.9648,
"sub|low_mid": 0.9552,
"sub|mid": 0.932,
"sub|upper_mid": 0.932,
"sub|presence": 0.9231,
"sub|brilliance": 0.932,
"sub|air": 0.9366,
"low_bass|bass": 0.9648,
"low_bass|low_mid": 0.9552,
"low_bass|mid": 0.932,
"low_bass|upper_mid": 0.932,
"low_bass|presence": 0.9231,
"low_bass|brilliance": 0.932,
"low_bass|air": 0.9366,
"bass|low_mid": 0.99,
"bass|mid": 0.966,
"bass|upper_mid": 0.966,
"bass|presence": 0.9567,
"bass|brilliance": 0.966,
"bass|air": 0.9707,
"low_mid|mid": 0.9662,
"low_mid|upper_mid": 0.9662,
"low_mid|presence": 0.9663,
"low_mid|brilliance": 0.9757,
"low_mid|air": 0.9709,
"mid|upper_mid": 1.0,
"mid|presence": 0.9904,
"mid|brilliance": 0.9903,
"mid|air": 0.9951,
"upper_mid|presence": 0.9904,
"upper_mid|brilliance": 0.9903,
"upper_mid|air": 0.9951,
"presence|brilliance": 0.9904,
"presence|air": 0.9856,
"brilliance|air": 0.9951
},
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"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,
5.573,
5.759,
5.944,
6.13,
6.316,
6.502,
6.687
],
"lanes": [
0,
0,
0,
5,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
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9,
9,
9,
9,
9,
9,
9,
7,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 6.195
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.7,
"at_s": 4.76,
"db_delta": -6.23,
"lanes_removed": 1.63,
"bars_held_s": 1.44,
"re_enters_at_s": 6.2
},
{
"position": 0.8776,
"at_s": 5.968,
"db_delta": -24.08,
"lanes_removed": 0.17,
"bars_held_s": 0.232,
"re_enters_at_s": 6.2
}
],
"raises": [
{
"position": 0.0888,
"start_s": 0.604,
"end_s": 4.737,
"db_delta": 133.93,
"lanes_added": 7.6,
"slope_db_per_s": 32.405
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.464
},
{
"position": 0.8537,
"at_s": 5.805,
"duration_s": 0.975
}
],
"tuttis": [
{
"position": 0.1127,
"at_s": 0.766,
"duration_s": 4.272,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.2184,
"seconds": 1.485,
"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": "fade_in",
"first_sound_at_s": 0.488,
"time_to_hook_s": null,
"time_to_hook_bars": null,
"time_to_full_texture_s": 0.697,
"time_to_full_texture_bars": 0.42,
"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
],
"values": [
0.0603,
0.7076,
0.768,
0.8166,
0.7958,
0.8614,
0.8126,
0.614,
0.1118,
0.0459
],
"peak_position_normalised": 0.6164
}
},
"complexity_law": {
"available": true,
"bar_length_s": 1.6719,
"bars": 4,
"index_per_bar": [
0.7841,
1.0,
0.9999,
0.3799
],
"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": 1.67,
"delta": 0.216,
"at_section_boundary": true
},
{
"bar": 3,
"at_s": 5.02,
"delta": -0.62,
"at_section_boundary": false
}
],
"steps_at_section_boundaries": 1,
"steps_total": 2,
"boundary_step_share": 0.5,
"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": 0.147,
"melodic_salience": 0.0,
"voiced_fraction": 0.0358,
"note_count": 1,
"mean_lanes": 6.195,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 81.15,
"peak_position_normalised": 0.637,
"peak_at_s": 4.319,
"arc_curve_db": [
-63.98,
-68.4,
-8.45,
-8.65,
-8.68,
-7.63,
-7.6,
-23.17,
-53.79,
-40.83
],
"arc_times_s": [
0.0,
0.74,
1.49,
2.23,
2.97,
3.72,
4.46,
5.2,
5.94,
6.69
]
},
"register": {
"melody_span_semitones": 0.0,
"melody_tessitura_midi": 47.0,
"bass_floor_band": {
"sub": 0.00079,
"low_bass": 0.02054,
"bass": 0.20444,
"low_mid": 0.10815,
"mid": 0.24068,
"upper_mid": 0.22612,
"presence": 0.16911,
"brilliance": 0.02427,
"air": 0.00479,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.00079,
"low_bass": 0.02054,
"bass": 0.20444,
"low_mid": 0.10815,
"mid": 0.24068,
"upper_mid": 0.22612,
"presence": 0.16911,
"brilliance": 0.02427,
"air": 0.00479,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.02956,
"seam_ratio": 33.834,
"seam_clean": false,
"tail_rms_over_mid": 0.0001,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.819,
"head_rms_trend": 0.8992,
"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": 1710.0,
"spectral_centroid_curve_hz": [
0.0,
2674.0,
1509.3,
2082.9,
1729.8,
2377.6,
2124.7,
2360.4,
1016.9,
728.5
],
"spectral_rolloff85_hz_mean": 3398.9,
"spectral_flatness_mean": 0.08052,
"signature_colour": "warm"
}
}
}