| asword | Algebraic word of a set's step sizes |
| best_simplification | Best ways to regularize a scale |
| brightnessgraph | Visualize brightness relationships among modes of a scale |
| brightness_comparisons | Voice-leading brightness relationships for a scale's modes |
| carlos_step | Define a step size for one of Wendy Carlos's scales |
| charm | Transposition and Inversion |
| colornum | Reference numbers for scale structures |
| comparesignvecs | Do two sign vectors represent adjacent colors? |
| convert | Convert between octave measurements |
| coord_from_edo | Coordinate systems for scale representation |
| coord_to_edo | Coordinate systems for scale representation |
| countsvzeroes | Which interval-comparison equalities does a scale satisfy? |
| cover | How many instances of a subset-type exist within a scale? How many scales embed a subset? |
| delta | The brightness ratio |
| edoo | Perfectly even scales (the color white) |
| emb | How many instances of a subset-type exist within a scale? How many scales embed a subset? |
| eps | The brightness ratio |
| evenness | How even is a scale? |
| flex_points | Voice-leading inflection points |
| fortenum | Forte number from set class |
| fortenums | Allen Forte's list of set classes |
| fpunique | Unique real values up to some tolerance |
| getineqmat | Define hyperplanes for the Modal Color Theory arrangements |
| get_relevant_rows | Which hyperplanes affect a given generic interval? |
| has_contradiction | Rothenberg propriety |
| howfree | Count a scale's degrees of freedom |
| ifunc | All intervals from one set to another |
| ineqmats | Hyperplane arrangements for MCT spaces |
| ineqsym | Symmetries of hyperplane arrangements define equivalent scales |
| intervalspectrum | Specific sizes corresponding to each generic interval |
| isgwf | Is a scale n-wise well formed? |
| isproper | Rothenberg propriety |
| iswellformed | Well-formedness, Myhill's property, and/or moment of symmetry |
| isym | Test for inversional symmetry |
| isym_degree | Test for inversional symmetry |
| isym_index | Test for inversional symmetry |
| ivec | Interval-class vector |
| j | Convenient just-intonation intervals and scales |
| makeineqmat | Define hyperplanes for the Modal Color Theory arrangements |
| make_pastel_ineqmat | Define hyperplanes for quasi-white arrangements |
| make_rosy_ineqmat | Define hyperplanes for Rothenberg arrangements |
| make_roth_ineqmat | Define hyperplanes for Rothenberg arrangements |
| make_white_ineqmat | Define hyperplanes for quasi-white arrangements |
| match_flat | Closest point on a given flat |
| maxeven | Maximally even scales |
| meantone_fifth | Define a tempered fifth for various meantone scales |
| minimize_vl | Smallest voice leading between two sets |
| optc_test | Does a scale lie in the canonical fundamental domain for OPTC symmetries? |
| populate_flat | Randomly generate scales on a flat |
| primary_color | Primary colors |
| primary_colornum | Primary colors |
| primary_hue | Primary colors |
| primary_signvector | Primary colors |
| primeform | Prime form of a set using Rahn's algorithm |
| project_onto | Closest point on a given flat |
| quantize_color | Find a scale mod k that matches a given color |
| quantize_hue | Find a scale mod k that matches a given hue |
| ratio | The brightness ratio |
| readSCL | Import a Scala (.scl) file as a scale |
| realize_setword | Define scale by entering its relative step sizes |
| rotate | Circular rotation of an ordered tuple |
| same_hue | Do two scales lie on the same ray? |
| saturate | Modify evenness without changing hue |
| sc | Set class from Forte's list |
| scale_palette | Orbit of a scale under symmetries of hyperplane arrangement |
| sc_comp | Set class complement |
| set_from_signvector | Create a scale from a sign vector |
| signed_interval_class | Ordered pitch-class interval represented as interval class with sign |
| signvector | Detect a scale's location relative to a hyperplane arrangement |
| sim | Scalar interval matrix |
| simplify_scale | Best ways to regularize a scale |
| spectrumcount | Specific sizes corresponding to each generic interval |
| startzero | Transposition and Inversion |
| step_signvector | Specify a scale's step pattern with a sign vector |
| strictly_proper | Rothenberg propriety |
| subsetspectrum | Subset varieties for all subsets of a fixed size |
| subset_multiplicities | Count the multiplicities of a subset-type's varieties |
| subset_varieties | Specific varieties of scalar subsets given a generic shape |
| surround_set | Random scales uniformly distributed on a hypersphere around an input |
| svzero_fingerprint | Distinguish different types of interval equalities |
| tc | Transpositional combination & pitch multiplication |
| tn | Transposition and Inversion |
| tndists | Distances between continuous transpositions of a set |
| tni | Transposition and Inversion |
| tnprime | Transposition class of a given pc-set |
| tsym | Test for transpositional symmetry |
| tsym_degree | Test for transpositional symmetry |
| tsym_index | Test for transpositional symmetry |
| vlsig | Elementary voice leadings |
| vl_dist | How far apart are two scales? |
| vl_generators | Which transpositions give elementary voice leadings? |
| vl_rolodex | Minimal voice leadings to all transpositions of some Tn-type mod k |
| whichmodebest | Smallest crossing-free voice leading between two pitch-class sets |
| whichsvzeroes | Which interval-comparison equalities does a scale satisfy? |
| writeSCL | Create a Scala tuning file from a given scale |
| z | Frequency ratios to logarithmic pitch intervals (e.g. semitones) |
| zmate | Twin set in the Z-relation (Z mate) |