scale_palette {musicMCT} | R Documentation |
Orbit of a scale under symmetries of hyperplane arrangement
Description
Given an input scale, return a "palette" of related scalar colors. All the returned
scales are the image of the input under some ineqsym()
.
Usage
scale_palette(set, include_involution = TRUE, edo = 12, rounder = 10)
Arguments
set |
Numeric vector of pitch-classes in the set |
include_involution |
Should involutional symmetry be included in the
applied transformation group? Defaults to |
edo |
Number of unit steps in an octave. Defaults to |
rounder |
Numeric (expected integer), defaults to |
Value
A matrix whose columns represent the colors in set
's palette.
Examples
# The palette of a minor triad is all inversions of major and minor:
minor_triad <- c(0, 3, 7)
scale_palette(minor_triad)
# But 12edo is a little too convenient. The palette of the just minor triad
# involves some less-consonant intervals:
just_minor <- j(1, m3, 5)
scale_palette(just_minor)
# The palette of the diatonic scale includes all 42 well-formed heptachord colors:
dia_palette <- scale_palette(sc(7, 35))
dim(dia_palette)
table(apply(dia_palette, 2, iswellformed))
[Package musicMCT version 0.2.0 Index]