The data file roth_ineqmats represents the Rothenberg hyperplane arrangements
that make_roth_ineqmat() generates. Just like the file ineqmats, for large
computations it's faster simply to call on precalculated data rather than to run
make_roth_ineqmat() many thousands of times. Thus the object roth_ineqmats saves
the inequality matrices for scales of cardinality 1-24, to be called upon by
get_roth_ineqmat().
Format
roth_ineqmats
A list with 24 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 the number of hyperplanes in the relevant Rothenberg arrangement.
(The values m are currently only empirical: so far, no principled enumeration exists.)
The last column of the matrix contains constants that translate the hyperplane away
from the origin.