The data file ineqmats represents the hyperplane arrangements
at the core of Modal Color Theory as matrices containing the
hyperplanes' normal vectors. See Appendix 1.2 of Sherrill (2025) for
a discussion of the format of these matrices. The matrices can be generated
on the fly by makeineqmat(), but for large computations it's faster
simply to call on precalculated data rather than to run makeineqmat()
many thousands of times. Thus the object ineqmats saves the inequality
matrices for scales of cardinality 1-53, to be called upon by getineqmat().
ineqmatsineqmats
A list with 53 entries. The nth entry of the list gives the inequality
matrix for n-note scales. Each inequality matrix itself is an m by (n+1)
matrix, where m is an element of OEIS A034828
(see Sherrill 2025, 40-42). The last column of the matrix contains an
offset related to whether any of the generic intervals "wrap around the
octave," as e.g. the third from 7 to 2 does in a heptachord. This column
is linearly dependent on the previous n columns, which contain the
coefficients of the hyperplane's normal vectors. That is, the first row
of the matrix (dropping its last entry) is the normal vector for the
first hyperplane of the arrangement, and so on.