> ## Documentation Index > Fetch the complete documentation index at: https://docs.nomn.jp/llms.txt > Use this file to discover all available pages before exploring further. # Algorithm Reference > All 37 algorithms in one place — rhythm, perforation, and pitch # Algorithm Reference Quick reference for all algorithms across RESERVOIR's three engine types. For detailed descriptions and lineage, see the individual interface pages. ## Rhythm Engines (18) | # | Name | ID in DAW | Core Principle | | -- | ------------------ | -------------------- | ------------------------------------------------------------------------------------------------------ | | 0 | Stochastic | `Stochastic` | Exponentially-distributed stochastic inter-onset intervals | | 1 | Polyrhythm | `Polyrhythm` | Schillinger resultant from two periodic generators at ratio A:B | | 2 | Grouping | `Grouping` | Variable-size note clusters (e.g., 5-3-2 pattern) | | 3 | Cloud | `Cloud` | Density field modulated by overlapping incommensurate sine waves | | 4 | Euclidean | `Euclidean` | Bjorklund algorithm — N pulses distributed maximally-evenly over M steps | | 5 | Harmonic | `Harmonic` | Overtone-series pulse streams at ratios 1:2:3:...N | | 6 | Multigenerator | `Multigenerator` | Three+ concurrent periodic generators forming a higher-order resultant | | 7 | Attack Groups | `Attack Groups` | Time-rhythm × instrumental-rhythm product (Polka, Fox-trot, Waltz, Rhumba, Custom) | | 8 | Lattice | `Lattice` | PL (place-length) coordination of duration groups across attack groups | | 9 | Permutation | `Permutation` | Circular, retrograde, and higher-order permutations of durations/rests/accents | | 10 | Continuity | `Continuity` | Homogeneous continuity via subdivision by divisor / by bar / by attack | | 11 | Power Series | `Power Series` | Group sizes from mathematical progressions (squares, powers, triangular, binomial) | | 12 | Growth Series | `Growth Series` | Fibonacci-family seed pair generates additive duration growth | | 13 | Acceleration | `Acceleration` | Continuous IOI transformation along Harmonic/Arithmetic/Geometric/Power/Summation/Primes/Rubato curves | | 14 | L-System | `L-System` | Lindenmayer string rewriting → fractal rhythm sequences | | 15 | Beat Grid | `Beat Grid` | 16-step seed expanded by Markov chain each bar | | 16 | NOMN Drum Computer | `NOMN Drum Computer` | 4-axis pad over a stylist-space learned from an open source corpus of drum patterns | | 17 | Subdivision Grid | `Subdivision Grid` | Strict metronomic grid (1/4..1/128, straight or tuplet) — perforation shapes it | ## Perforation Engines (7) | # | Name | ID in DAW | Core Principle | | - | -------------- | ---------------- | ----------------------------------------------------------------- | | 0 | Euclidean | `Euclidean` | Maximally-even gap distribution (Bjorklund) | | 1 | Prime Sieve | `Prime Sieve` | Sieve of Eratosthenes — remove at prime-divisible positions | | 2 | Fibonacci | `Fibonacci` | Zeckendorf decomposition — fewer Fibonacci terms = more protected | | 3 | Modular | `Modular` | Keep events at index mod N = offset | | 4 | Golden Ratio | `Golden Ratio` | Quasiperiodic phi-based lattice / golden angle phyllotaxis | | 5 | Automata | `Automata` | Wolfram elementary cellular automaton (rules 0–255) | | 6 | Corpus Density | `Corpus Density` | Statistical rest-placement curves from a phrase-density model | ## Pitch Patterns (12) | # | Name | ID in DAW | Core Principle | | -- | ---------------- | ------------------ | ------------------------------------------------------------------------------------------- | | 0 | Sequential | `Sequential` | Serial exhaustion — all pitches before any repeat | | 1 | Spiral | `Spiral` | Expanding intervals outward from center pitch | | 2 | Fibonacci | `Fibonacci` | Fibonacci interval sequence (1,1,2,3,5,8,13,21) | | 3 | Register | `Register` | Systematic octave-by-octave traversal | | 4 | Probabilistic | `Probabilistic` | Weighted Markov transitions (close intervals favored) | | 5 | Golden Ratio | `Golden Ratio` | Pitch set split at phi, alternating subsets | | 6 | Interference | `Interference` | Interference of two interval generators → resultant pitch set | | 7 | Mirror | `Mirror` | Alternating original and inverted pitches around axis | | 8 | Permutation | `Permutation` | Circular, retrograde, and retrograde-inversion orderings | | 9 | Corpus | `Corpus` | Statistical pitch-class transition matrices | | 10 | Arpeggiator | `Arpeggiator` | Chord-arpeggiation patterns (up, down, alternating, random) | | 11 | Harmonic Gravity | `Harmonic Gravity` | User-defined chord vocabulary with automatic voice leading, driven by ESN tension crossings | ## Layer Interaction Modes (5) | # | Name | Behavior | | - | ------------- | -------------------------------------------------------------------- | | 0 | Independent | No inter-layer coordination | | 1 | Inverse | More active when other layers are quiet | | 2 | Complementary | Fill gaps in other layers (hocket) | | 3 | Synchronized | Holes align across layers | | 4 | Monophonic | Single-voice priority — new attacks cut off any still-sounding notes | ## Articulation Styles (5) | # | Name | Duration Multiplier | | - | --------- | ----------------------- | | 0 | Sustained | 1.0 | | 1 | Legato | 0.80–0.95 | | 2 | Staccato | 0.20–0.40 | | 3 | Accent | 1.00–1.15 | | 4 | Mixed | 0.85→0.35 (progressive) | ## Micro-Timing Feel (4) | # | Name | Description | | - | ------------ | ------------------------------------------------------------------------------------------ | | 0 | Strict | Metronomic — zero deviation | | 1 | NOMN | Context-aware micro-timing modulated by phrase position and density | | 2 | User Groove | Per-grid-position deviations from a [MIR Capture](/reservoir/features/capture) fingerprint | | 3 | Genre Groove | Per-genre micro-timing profiles from drum-corpus analysis | ## Velocity Curve Shapes (6) | # | Name | Description | | - | -------- | ----------------------------------------------- | | 0 | Off | Pure random within `[velocityMin, velocityMax]` | | 1 | Swell | Corpus-informed phrase-level natural swell | | 2 | Ramp | Linear rise across phrase | | 3 | Drive | Sustained high-energy weighting | | 4 | Fade | Linear fall across phrase | | 5 | Captured | Envelope from a MIR Capture fingerprint | ## Color Modes (8) | # | Name | Maps To | | - | --------------- | ------------------------------------------- | | 0 | Greyscale | Velocity/dynamics only | | 1 | Chromatic | Pitch class (perceptually uniform palette) | | 2 | Register | Octave register (dark = low, bright = high) | | 3 | Interval | Interval from lowest active pitch | | 4 | Tension | Consonance-dissonance score | | 5 | Schillingerian | 12 saturated pitch-class colors | | 6 | Scriabin | Synesthetic color-hearing associations | | 7 | Rimsky-Korsakov | Key-color landscape associations | ## Combination Count With 18 rhythm engines × 7 perforation methods × 12 pitch patterns × 5 layer interaction modes × 5 articulation styles = **37,800** unique algorithm combinations before considering parameter variations, scale selection, or per-engine modal options.