musicMCT (version 0.2.0)

sc_comp: Set class complement

Description

Find the complement of a set class in a given mod k universe. Complements have long been recognized in pitch-class set theory as sharing many properties with each other. This is true to some extent when considering scales in continuous pc-space, but sometimes it is not! Therefore whenever you're exploring an odd property that a scale has, it can be useful to check that scale's complement (if you've come across the scale in some mod k context, of course).

Usage

sc_comp(set, canon = c("tni", "tn"), edo = 12, rounder = 10)

Value

Numeric vector representing a set class of length edo - n where n is the length of the input set

Arguments

set

Numeric vector of pitch-classes in the set

canon

What transformations should be considered equivalent? Defaults to "tni" (using standard set classes) but can be "tn" (using transposition classes)

edo

Number of unit steps in an octave. Defaults to 12.

rounder

Numeric (expected integer), defaults to 10: number of decimal places to round to when testing for equality.

Examples

diatonic19 <- c(0, 3, 6, 9, 11, 14, 17)
chromatic19 <- sc_comp(diatonic19, edo=19)
icvecs_19 <- rbind(ivec(diatonic19, edo=19), ivec(chromatic19, edo=19))
rownames(icvecs_19) <- c("diatonic ivec", "chromatic ivec")
icvecs_19