Rather than calculate the full sign vector from the "modal color" hyperplane arrangement, sometimes it's advantageous to use a sign vector that reflects only the pairwise comparisons on a scale's steps. This function does that.
Arguments
- set
Numeric vector of pitch-classes in the set
- ineqmat
Specifies which hyperplane arrangement to consider. By default (or by explicitly entering "mct") it supplies the standard "Modal Color Theory" arrangements of
getineqmat(), but can be set to strings "white," "black", "gray", "roth", "infrared", "pastel", "rosy", "infrared", or "anaglyph", giving theineqmats ofmake_white_ineqmat(),make_black_ineqmat(),make_gray_ineqmat(),make_roth_ineqmat(),make_infrared_ineqmat(),make_pastel_ineqmat(),make_rosy_ineqmat(),make_infrared_ineqmat(), ormake_anaglyph_ineqmat(). For other arrangements, this parameter accepts explicit matrices.- 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.
Value
A vectors of signs, -1, 0, and 1, corresponding to the step-related
hyperplanes in the defined ineqmat.
Examples
step_signvector(sc(7, 35)) # Half the length of a full sign vector for heptachords:
#> [1] -1 -1 0 0 1 1 -1 0 0 -1 -1 0 0 -1 0 -1 0 0 -1 0 0
signvector(sc(7, 35))
#> [1] -1 -1 0 0 1 1 -1 0 0 -1 -1 0 0 -1 0 -1 0 0 -1 0 0 0 0 1 -1
#> [26] 0 -1 -1 0 -1 -1 1 0 0 1 0 -1 -1 0 0 0 0