musicMCT (version 0.1.2)

sim: Scalar interval matrix

Description

As defined by Tymoczko 2008 ("Scale Theory, Serial Theory and Voice Leading") https://onlinelibrary.wiley.com/doi/10.1111/j.1468-2249.2008.00257.x, the scalar interval matrix represents the "rotations" of a set, transposed to begin on 0, in its columns. Its nth row represents the specific intervals which represent its generic interval of size n.

Usage

sim(set, edo = 12)

Value

Numeric n by n matrix where n is the number of notes in set

Arguments

set

Numeric vector of pitch-classes in the set

edo

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

Examples

diatonic_modes <- sim(c(0, 2, 4, 5, 7, 9, 11))
print(diatonic_modes)

miyakobushi_modes <- sim(c(0, 1, 5, 7, 8)) # rows show trivalence
print(miyakobushi_modes)