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).
sc_comp(set, canon = c("tni", "tn"), edo = 12, rounder = 10)Numeric vector representing a set class of length edo - n where n is
the length of the input set
Numeric vector of pitch-classes in the set
What transformations should be considered equivalent? Defaults to "tni" (using standard set classes) but can be "tn" (using transposition classes)
Number of unit steps in an octave. Defaults to 12.
Numeric (expected integer), defaults to 10:
number of decimal places to round to when testing for equality.
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
Run the code above in your browser using DataLab