# Expedition 007

### 1. System name
Fractal Fugue in Silver Mean

### 2. Pitch organization
A nine-tone, non-octave-repeating scale generated by logarithmic subdivision of the silver ratio δ_S = 1 + √2 ≈ 2.414. Nine equal ratio steps of 1.1029 span from the tonic to the "pseudo-octave" at 2.414×reference. Pitches above that continue the pattern, so the system yields an unboundedly extending pitch lattice in which no two pitches are octave-equivalent. The reference pitch (index 0) is 165 Hz.

Despite having no octave, the scale sustains a strong interval hierarchy. Two intervals function as structural pillars: the **silver-fourth** (ratio δ_S^(4/9) ≈ 1.48) and the **silver-fifth** (δ_S^(5/9) ≈ 1.61 — coincidentally very close to the golden ratio φ ≈ 1.618). Cadences resolve toward the tonic via silver-fifth → silver-fourth → unison, with the pseudo-octave (index 9) treated not as a reinterpretation of the tonic but as a **distinct harmonic pole** ("upper home"). The scale is therefore bi-centric: every piece navigates between 0 and 9, with the region between them the inner musical space.

Ornament is optional and decorative. Grace notes and passing tones fill gaps between structural notes but do not carry syntactic weight.

### 3. Rhythmic organization
Additive metric, with a fixed 5+5+7 cycle of 17 eighth-note units at base unit 180 ms (cycle ≈ 3.06 s). The ear does not hear the 17 as a weak pulse — it hears two short groupings followed by a longer one, like an inhale, inhale, long breath. Tempo stability is moderate; the grouping boundaries remain fixed but the unit duration drifts slightly over the arc. Polyrhythmic events arise from the counter_gut voice overlaying 8-unit figures over the 17-unit cycle, producing a 136-unit super-cycle that never completes within a piece.

### 4. Formal structure
Nested-hierarchical, through-composed. The piece is a fugue in five sections: **Exposition** (subject alone over drone), **Answer** (subject transposed up a silver-fifth; countersubject enters), **Stretto Development** (three overlapping subject entries at different transpositions, accumulating texture), **Climax in Augmentation** (subject doubled in duration at the upper home, fast counterpoint underneath), **Coda** (reduction and cadential resolution to unison tonic). Each section is itself internally arched; the overall arc rises monotonically through the stretto into the climax and falls decisively to home. No section repeats verbatim, but all derive from the same subject material — the grammar is recursively self-similar, hence "fractal".

### 5. Texture and voicing
Solo performer realizing five independent voices on a single instrument (conceived as a four-manual keyboard with a pedal drone):
- **drone** — low tonic, sustained throughout, establishing the non-octave reference
- **theme_flute** — the subject voice (fugal melodic lead, carries all structural statements)
- **counter_gut** — countersubject and inner ornamental figurations
- **inner_reed** — third voice entering at the stretto, filling out the contrapuntal texture
- **harmony_pad** — held chord tones providing the harmonic ground (layered-ostinato of silver-fourth/fifth alternations)

Voice independence is high; each voice has its own rhythmic profile and pitch range. Silence is used as a decorative pause at section boundaries.

### 6. Ornament and inflection
Ornamentation is optional. The performer may add passing tones between scripted notes in counter_gut, and decorative grace notes on long theme_flute notes. No microtonal inflection — pitches are fixed by the scale.

### 7. Performance context
Environmental-coexistent. The piece is conceived as performed alongside (not for) whatever acoustic environment it happens to occur in — a bell-heard-through-a-window conception where the composition does not depend on audience attention but co-exists with ambient sound. Transmission is notated-prescriptive: the subject, countersubject, and stretto structure are fully specified on paper.

### 8. Relationship to neighboring systems
Shares with **Bach fugue** the contrapuntal exposition / answer / stretto / augmentation schema and the commitment to developing a single subject exhaustively across a piece. Shares with **spectral composition** the derivation of harmonic structure from an irrational-ratio pitch lattice rather than from a cyclic chromatic pool. Shares with **layered ostinato traditions** the harmonic pad's repeating cadential alternation. Diverges from all three by committing to a non-octave scale while preserving a *strong* tonal hierarchy — most non-octave systems (Bohlen-Pierce, Wendy Carlos's Alpha/Beta/Gamma) are indifferent to tonal center, and most strongly tonal systems are octave-repeating. The unique synthesis: *fugal counterpoint in a bi-centric non-octave scale where the pseudo-octave is a second home rather than an equivalent*.

### 9. Audio specification

```json
{
  "duration_seconds": 80.0,
  "pitch_system": {
    "encoding": "ratio",
    "reference_hz": 165,
    "pitches": [
      1.0,
      1.1029,
      1.2164,
      1.3415,
      1.4795,
      1.6317,
      1.7996,
      1.9848,
      2.189,
      2.4142,
      2.6626,
      2.9365,
      3.2387,
      3.5719,
      3.9394,
      4.3447,
      4.7917,
      5.2847,
      5.8284
    ],
    "octave_repeats": false
  },
  "rhythm_system": {
    "type": "additive",
    "groupings": [
      5,
      5,
      7
    ],
    "base_unit_ms": 180
  },
  "voices": [
    {
      "name": "drone",
      "timbre": "soft_pad",
      "pitch_indices": [
        0
      ],
      "rhythm_role": "sustained_drone",
      "amplitude": 0.35,
      "spatial_position": [
        0.0,
        -0.2
      ]
    },
    {
      "name": "theme_flute",
      "timbre": "bamboo_flute",
      "pitch_indices": [
        0,
        1,
        2,
        3,
        4,
        5,
        6,
        7,
        8,
        9,
        10,
        11,
        12,
        13,
        14
      ],
      "rhythm_role": "melodic_lead",
      "amplitude": 0.78,
      "spatial_position": [
        0.1,
        0.3
      ]
    },
    {
      "name": "counter_gut",
      "timbre": "plucked_gut",
      "pitch_indices": [
        0,
        1,
        2,
        3,
        4,
        5,
        6,
        7,
        8,
        9,
        10,
        11,
        12
      ],
      "rhythm_role": "ornamental",
      "amplitude": 0.6,
      "spatial_position": [
        -0.45,
        0.1
      ]
    },
    {
      "name": "inner_reed",
      "timbre": "reed",
      "pitch_indices": [
        2,
        3,
        4,
        5,
        6,
        7,
        8,
        9,
        10,
        11,
        12,
        13
      ],
      "rhythm_role": "melodic_lead",
      "amplitude": 0.58,
      "spatial_position": [
        0.45,
        0.15
      ]
    },
    {
      "name": "harmony_pad",
      "timbre": "soft_pad",
      "pitch_indices": [
        0,
        1,
        2,
        3,
        4,
        5,
        6,
        7,
        8,
        9,
        10,
        11,
        12
      ],
      "rhythm_role": "ostinato",
      "amplitude": 0.42,
      "spatial_position": [
        0.0,
        0.0
      ]
    }
  ],
  "form": {
    "arc_type": "through_composed",
    "sections": [
      {
        "name": "exposition",
        "start_seconds": 0,
        "duration_seconds": 12,
        "character": "subject over drone; harmonic pad ground"
      },
      {
        "name": "answer",
        "start_seconds": 12,
        "duration_seconds": 12,
        "character": "subject transposed; countersubject enters"
      },
      {
        "name": "development_stretto",
        "start_seconds": 24,
        "duration_seconds": 22,
        "character": "three overlapping entries, accumulating density"
      },
      {
        "name": "climax_augmentation",
        "start_seconds": 46,
        "duration_seconds": 20,
        "character": "subject in augmentation over fast counterpoint"
      },
      {
        "name": "coda",
        "start_seconds": 66,
        "duration_seconds": 14,
        "character": "reduction, cadence on home"
      }
    ]
  },
  "ornamentation": {
    "density": 0.35,
    "rule": "Decorative grace notes optional on long theme_flute notes. Counter_gut may add single-unit passing notes between scripted events."
  },
  "events": [
    {
      "t": 1.0,
      "voice": "theme_flute",
      "pitch_index": 0,
      "duration_seconds": 0.342,
      "amplitude": 0.78
    },
    {
      "t": 1.36,
      "voice": "theme_flute",
      "pitch_index": 2,
      "duration_seconds": 0.171,
      "amplitude": 0.78
    },
    {
      "t": 1.54,
      "voice": "theme_flute",
      "pitch_index": 4,
      "duration_seconds": 0.171,
      "amplitude": 0.78
    },
    {
      "t": 1.72,
      "voice": "theme_flute",
      "pitch_index": 3,
      "duration_seconds": 0.342,
      "amplitude": 0.78
    },
    {
      "t": 2.08,
      "voice": "theme_flute",
      "pitch_index": 5,
      "duration_seconds": 0.171,
      "amplitude": 0.78
    },
    {
      "t": 2.26,
      "voice": "theme_flute",
      "pitch_index": 4,
      "duration_seconds": 0.171,
      "amplitude": 0.78
    },
    {
      "t": 2.44,
      "voice": "theme_flute",
      "pitch_index": 7,
      "duration_seconds": 0.513,
      "amplitude": 0.78
    },
    {
      "t": 2.98,
      "voice": "theme_flute",
      "pitch_index": 5,
      "duration_seconds": 0.342,
      "amplitude": 0.78
    },
    {
      "t": 3.34,
      "voice": "theme_flute",
      "pitch_index": 2,
      "duration_seconds": 0.342,
      "amplitude": 0.78
    },
    {
      "t": 3.7,
      "voice": "theme_flute",
      "pitch_index": 0,
      "duration_seconds": 0.684,
      "amplitude": 0.78
    },
    {
      "t": 1.0,
      "voice": "harmony_pad",
      "pitch_index": 0,
      "duration_seconds": 0.684,
      "amplitude": 0.45
    },
    {
      "t": 1.72,
      "voice": "harmony_pad",
      "pitch_index": 4,
      "duration_seconds": 0.684,
      "amplitude": 0.45
    },
    {
      "t": 2.44,
      "voice": "harmony_pad",
      "pitch_index": 5,
      "duration_seconds": 1.026,
      "amplitude": 0.45
    },
    {
      "t": 3.52,
      "voice": "harmony_pad",
      "pitch_index": 0,
      "duration_seconds": 0.684,
      "amplitude": 0.45
    },
    {
      "t": 4.24,
      "voice": "harmony_pad",
      "pitch_index": 4,
      "duration_seconds": 0.513,
      "amplitude": 0.45
    },
    {
      "t": 4.92,
      "voice": "theme_flute",
      "pitch_index": 5,
      "duration_seconds": 0.342,
      "amplitude": 0.75
    },
    {
      "t": 5.28,
      "voice": "theme_flute",
      "pitch_index": 7,
      "duration_seconds": 0.171,
      "amplitude": 0.75
    },
    {
      "t": 5.46,
      "voice": "theme_flute",
      "pitch_index": 9,
      "duration_seconds": 0.171,
      "amplitude": 0.75
    },
    {
      "t": 5.64,
      "voice": "theme_flute",
      "pitch_index": 8,
      "duration_seconds": 0.342,
      "amplitude": 0.75
    },
    {
      "t": 6.0,
      "voice": "theme_flute",
      "pitch_index": 10,
      "duration_seconds": 0.171,
      "amplitude": 0.75
    },
    {
      "t": 6.18,
      "voice": "theme_flute",
      "pitch_index": 9,
      "duration_seconds": 0.171,
      "amplitude": 0.75
    },
    {
      "t": 6.36,
      "voice": "theme_flute",
      "pitch_index": 12,
      "duration_seconds": 0.513,
      "amplitude": 0.75
    },
    {
      "t": 6.9,
      "voice": "theme_flute",
      "pitch_index": 10,
      "duration_seconds": 0.342,
      "amplitude": 0.75
    },
    {
      "t": 7.26,
      "voice": "theme_flute",
      "pitch_index": 7,
      "duration_seconds": 0.342,
      "amplitude": 0.75
    },
    {
      "t": 7.62,
      "voice": "theme_flute",
      "pitch_index": 5,
      "duration_seconds": 0.684,
      "amplitude": 0.75
    },
    {
      "t": 4.92,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.171,
      "amplitude": 0.6
    },
    {
      "t": 5.1,
      "voice": "counter_gut",
      "pitch_index": 4,
      "duration_seconds": 0.171,
      "amplitude": 0.6
    },
    {
      "t": 5.28,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.342,
      "amplitude": 0.6
    },
    {
      "t": 5.64,
      "voice": "counter_gut",
      "pitch_index": 7,
      "duration_seconds": 0.342,
      "amplitude": 0.6
    },
    {
      "t": 6.0,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.171,
      "amplitude": 0.6
    },
    {
      "t": 6.18,
      "voice": "counter_gut",
      "pitch_index": 3,
      "duration_seconds": 0.171,
      "amplitude": 0.6
    },
    {
      "t": 6.36,
      "voice": "counter_gut",
      "pitch_index": 2,
      "duration_seconds": 0.342,
      "amplitude": 0.6
    },
    {
      "t": 6.72,
      "voice": "counter_gut",
      "pitch_index": 4,
      "duration_seconds": 0.342,
      "amplitude": 0.6
    },
    {
      "t": 7.08,
      "voice": "counter_gut",
      "pitch_index": 0,
      "duration_seconds": 0.513,
      "amplitude": 0.6
    },
    {
      "t": 4.92,
      "voice": "harmony_pad",
      "pitch_index": 5,
      "duration_seconds": 0.684,
      "amplitude": 0.42
    },
    {
      "t": 5.64,
      "voice": "harmony_pad",
      "pitch_index": 9,
      "duration_seconds": 0.684,
      "amplitude": 0.42
    },
    {
      "t": 6.36,
      "voice": "harmony_pad",
      "pitch_index": 9,
      "duration_seconds": 0.684,
      "amplitude": 0.42
    },
    {
      "t": 7.08,
      "voice": "harmony_pad",
      "pitch_index": 5,
      "duration_seconds": 0.684,
      "amplitude": 0.42
    },
    {
      "t": 9.34,
      "voice": "theme_flute",
      "pitch_index": 0,
      "duration_seconds": 0.342,
      "amplitude": 0.72
    },
    {
      "t": 9.7,
      "voice": "theme_flute",
      "pitch_index": 2,
      "duration_seconds": 0.171,
      "amplitude": 0.72
    },
    {
      "t": 9.88,
      "voice": "theme_flute",
      "pitch_index": 4,
      "duration_seconds": 0.171,
      "amplitude": 0.72
    },
    {
      "t": 10.06,
      "voice": "theme_flute",
      "pitch_index": 3,
      "duration_seconds": 0.342,
      "amplitude": 0.72
    },
    {
      "t": 10.42,
      "voice": "theme_flute",
      "pitch_index": 5,
      "duration_seconds": 0.171,
      "amplitude": 0.72
    },
    {
      "t": 10.6,
      "voice": "theme_flute",
      "pitch_index": 4,
      "duration_seconds": 0.171,
      "amplitude": 0.72
    },
    {
      "t": 10.78,
      "voice": "theme_flute",
      "pitch_index": 7,
      "duration_seconds": 0.513,
      "amplitude": 0.72
    },
    {
      "t": 11.32,
      "voice": "theme_flute",
      "pitch_index": 5,
      "duration_seconds": 0.342,
      "amplitude": 0.72
    },
    {
      "t": 11.68,
      "voice": "theme_flute",
      "pitch_index": 2,
      "duration_seconds": 0.342,
      "amplitude": 0.72
    },
    {
      "t": 12.04,
      "voice": "theme_flute",
      "pitch_index": 0,
      "duration_seconds": 0.684,
      "amplitude": 0.72
    },
    {
      "t": 10.54,
      "voice": "counter_gut",
      "pitch_index": 3,
      "duration_seconds": 0.342,
      "amplitude": 0.72
    },
    {
      "t": 10.9,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.171,
      "amplitude": 0.72
    },
    {
      "t": 11.08,
      "voice": "counter_gut",
      "pitch_index": 7,
      "duration_seconds": 0.171,
      "amplitude": 0.72
    },
    {
      "t": 11.26,
      "voice": "counter_gut",
      "pitch_index": 6,
      "duration_seconds": 0.342,
      "amplitude": 0.72
    },
    {
      "t": 11.62,
      "voice": "counter_gut",
      "pitch_index": 8,
      "duration_seconds": 0.171,
      "amplitude": 0.72
    },
    {
      "t": 11.8,
      "voice": "counter_gut",
      "pitch_index": 7,
      "duration_seconds": 0.171,
      "amplitude": 0.72
    },
    {
      "t": 11.98,
      "voice": "counter_gut",
      "pitch_index": 10,
      "duration_seconds": 0.513,
      "amplitude": 0.72
    },
    {
      "t": 12.52,
      "voice": "counter_gut",
      "pitch_index": 8,
      "duration_seconds": 0.342,
      "amplitude": 0.72
    },
    {
      "t": 12.88,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.342,
      "amplitude": 0.72
    },
    {
      "t": 13.24,
      "voice": "counter_gut",
      "pitch_index": 3,
      "duration_seconds": 0.684,
      "amplitude": 0.72
    },
    {
      "t": 11.74,
      "voice": "inner_reed",
      "pitch_index": 7,
      "duration_seconds": 0.342,
      "amplitude": 0.72
    },
    {
      "t": 12.1,
      "voice": "inner_reed",
      "pitch_index": 9,
      "duration_seconds": 0.171,
      "amplitude": 0.72
    },
    {
      "t": 12.28,
      "voice": "inner_reed",
      "pitch_index": 11,
      "duration_seconds": 0.171,
      "amplitude": 0.72
    },
    {
      "t": 12.46,
      "voice": "inner_reed",
      "pitch_index": 10,
      "duration_seconds": 0.342,
      "amplitude": 0.72
    },
    {
      "t": 12.82,
      "voice": "inner_reed",
      "pitch_index": 12,
      "duration_seconds": 0.171,
      "amplitude": 0.72
    },
    {
      "t": 13.0,
      "voice": "inner_reed",
      "pitch_index": 11,
      "duration_seconds": 0.171,
      "amplitude": 0.72
    },
    {
      "t": 13.18,
      "voice": "inner_reed",
      "pitch_index": 14,
      "duration_seconds": 0.513,
      "amplitude": 0.72
    },
    {
      "t": 13.72,
      "voice": "inner_reed",
      "pitch_index": 12,
      "duration_seconds": 0.342,
      "amplitude": 0.72
    },
    {
      "t": 14.08,
      "voice": "inner_reed",
      "pitch_index": 9,
      "duration_seconds": 0.342,
      "amplitude": 0.72
    },
    {
      "t": 14.44,
      "voice": "inner_reed",
      "pitch_index": 7,
      "duration_seconds": 0.684,
      "amplitude": 0.72
    },
    {
      "t": 9.34,
      "voice": "harmony_pad",
      "pitch_index": 3,
      "duration_seconds": 0.513,
      "amplitude": 0.48
    },
    {
      "t": 9.88,
      "voice": "harmony_pad",
      "pitch_index": 5,
      "duration_seconds": 0.513,
      "amplitude": 0.48
    },
    {
      "t": 10.42,
      "voice": "harmony_pad",
      "pitch_index": 7,
      "duration_seconds": 0.513,
      "amplitude": 0.48
    },
    {
      "t": 10.96,
      "voice": "harmony_pad",
      "pitch_index": 9,
      "duration_seconds": 0.855,
      "amplitude": 0.48
    },
    {
      "t": 11.86,
      "voice": "harmony_pad",
      "pitch_index": 5,
      "duration_seconds": 0.513,
      "amplitude": 0.48
    },
    {
      "t": 12.4,
      "voice": "harmony_pad",
      "pitch_index": 4,
      "duration_seconds": 0.513,
      "amplitude": 0.48
    },
    {
      "t": 15.76,
      "voice": "theme_flute",
      "pitch_index": 9,
      "duration_seconds": 0.684,
      "amplitude": 0.82
    },
    {
      "t": 16.48,
      "voice": "theme_flute",
      "pitch_index": 11,
      "duration_seconds": 0.342,
      "amplitude": 0.82
    },
    {
      "t": 16.84,
      "voice": "theme_flute",
      "pitch_index": 13,
      "duration_seconds": 0.342,
      "amplitude": 0.82
    },
    {
      "t": 17.2,
      "voice": "theme_flute",
      "pitch_index": 12,
      "duration_seconds": 0.684,
      "amplitude": 0.82
    },
    {
      "t": 17.92,
      "voice": "theme_flute",
      "pitch_index": 14,
      "duration_seconds": 0.342,
      "amplitude": 0.82
    },
    {
      "t": 18.28,
      "voice": "theme_flute",
      "pitch_index": 13,
      "duration_seconds": 0.342,
      "amplitude": 0.82
    },
    {
      "t": 18.64,
      "voice": "theme_flute",
      "pitch_index": 16,
      "duration_seconds": 1.026,
      "amplitude": 0.82
    },
    {
      "t": 19.72,
      "voice": "theme_flute",
      "pitch_index": 14,
      "duration_seconds": 0.684,
      "amplitude": 0.82
    },
    {
      "t": 20.44,
      "voice": "theme_flute",
      "pitch_index": 11,
      "duration_seconds": 0.684,
      "amplitude": 0.82
    },
    {
      "t": 21.16,
      "voice": "theme_flute",
      "pitch_index": 9,
      "duration_seconds": 1.368,
      "amplitude": 0.82
    },
    {
      "t": 15.76,
      "voice": "counter_gut",
      "pitch_index": 0,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 15.94,
      "voice": "counter_gut",
      "pitch_index": 2,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 16.12,
      "voice": "counter_gut",
      "pitch_index": 4,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 16.3,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 16.48,
      "voice": "counter_gut",
      "pitch_index": 7,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 16.66,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 16.84,
      "voice": "counter_gut",
      "pitch_index": 4,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 17.02,
      "voice": "counter_gut",
      "pitch_index": 2,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 17.2,
      "voice": "counter_gut",
      "pitch_index": 0,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 17.38,
      "voice": "counter_gut",
      "pitch_index": 2,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 17.56,
      "voice": "counter_gut",
      "pitch_index": 4,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 17.74,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 17.92,
      "voice": "counter_gut",
      "pitch_index": 7,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 18.1,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 18.28,
      "voice": "counter_gut",
      "pitch_index": 4,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 18.46,
      "voice": "counter_gut",
      "pitch_index": 2,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 18.64,
      "voice": "counter_gut",
      "pitch_index": 0,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 18.82,
      "voice": "counter_gut",
      "pitch_index": 2,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 19.0,
      "voice": "counter_gut",
      "pitch_index": 4,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 19.18,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 19.36,
      "voice": "counter_gut",
      "pitch_index": 7,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 19.54,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 19.72,
      "voice": "counter_gut",
      "pitch_index": 4,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 19.9,
      "voice": "counter_gut",
      "pitch_index": 2,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 20.08,
      "voice": "counter_gut",
      "pitch_index": 0,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 20.26,
      "voice": "counter_gut",
      "pitch_index": 2,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 20.44,
      "voice": "counter_gut",
      "pitch_index": 4,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 20.62,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 20.8,
      "voice": "counter_gut",
      "pitch_index": 7,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 20.98,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 21.16,
      "voice": "counter_gut",
      "pitch_index": 4,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 21.34,
      "voice": "counter_gut",
      "pitch_index": 2,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 21.52,
      "voice": "counter_gut",
      "pitch_index": 0,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 21.7,
      "voice": "counter_gut",
      "pitch_index": 2,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 21.88,
      "voice": "counter_gut",
      "pitch_index": 4,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 22.06,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 22.24,
      "voice": "counter_gut",
      "pitch_index": 7,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 22.42,
      "voice": "counter_gut",
      "pitch_index": 5,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 22.6,
      "voice": "counter_gut",
      "pitch_index": 4,
      "duration_seconds": 0.162,
      "amplitude": 0.52
    },
    {
      "t": 15.76,
      "voice": "harmony_pad",
      "pitch_index": 9,
      "duration_seconds": 1.026,
      "amplitude": 0.5
    },
    {
      "t": 16.84,
      "voice": "harmony_pad",
      "pitch_index": 14,
      "duration_seconds": 1.026,
      "amplitude": 0.5
    },
    {
      "t": 17.92,
      "voice": "harmony_pad",
      "pitch_index": 9,
      "duration_seconds": 1.368,
      "amplitude": 0.5
    },
    {
      "t": 23.1,
      "voice": "theme_flute",
      "pitch_index": 5,
      "duration_seconds": 0.342,
      "amplitude": 0.78
    },
    {
      "t": 23.46,
      "voice": "theme_flute",
      "pitch_index": 3,
      "duration_seconds": 0.342,
      "amplitude": 0.78
    },
    {
      "t": 23.82,
      "voice": "theme_flute",
      "pitch_index": 2,
      "duration_seconds": 0.513,
      "amplitude": 0.78
    },
    {
      "t": 24.36,
      "voice": "theme_flute",
      "pitch_index": 0,
      "duration_seconds": 1.026,
      "amplitude": 0.78
    },
    {
      "t": 23.1,
      "voice": "harmony_pad",
      "pitch_index": 4,
      "duration_seconds": 0.684,
      "amplitude": 0.55
    },
    {
      "t": 23.82,
      "voice": "harmony_pad",
      "pitch_index": 0,
      "duration_seconds": 1.026,
      "amplitude": 0.55
    }
  ]
}
```

### 10. Field note
The scale never closes. Every time the subject appears to return to the tonic, it has also drifted — in absolute pitch terms — into a new region of the pitch lattice. What makes the piece feel resolved is not the arrival of an octave, but the arrival of the *function* of an octave: a pitch that behaves as home without being a doubling of home.