A B C D E F G H I J M O P Q R S T V W Z
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 |
clockface | Visualize a set in pitch-class space |
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? |
d2s | Convert between pitch-class sets and distributions |
delta | The brightness ratio |
dft | The musical Discrete Fourier Transform of a pitch-class set |
distribution_to_set | Convert between pitch-class sets and distributions |
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? |
get_roth_ineqmat | Define hyperplanes for Rothenberg arrangements |
has_contradiction | Rothenberg propriety |
howfree | Count a scale's degrees of freedom |
ianring | Look up a scale at Ian Ring's _Exciting Universe of Music Theory_ |
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_black_ineqmat | Define hyperplanes for transposition-sensitive arrangements |
make_gray_ineqmat | Define hyperplanes for transposition-sensitive arrangements |
make_offset_ineqmat | Translate a hyperplane arrangement to a new center |
make_pastel_ineqmat | Define hyperplanes for white arrangements |
make_rosy_ineqmat | Define hyperplanes for Rothenberg arrangements |
make_roth_ineqmat | Define hyperplanes for Rothenberg arrangements |
make_white_ineqmat | Define hyperplanes for 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 |
roth_ineqmats | Hyperplane arrangements for Rothenberg arrangements |
s2d | Convert between pitch-class sets and distributions |
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 |
set_to_distribution | Convert between pitch-class sets and distributions |
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 (and interscalar) 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) |