| 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) |
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