roth_ineqmats

<p>The data file <code>roth_ineqmats</code> represents the Rothenberg hyperplane arrangements
that <code>make_roth_ineqmat()</code> generates. Just like the file <code>ineqmats</code>, for large
computations it's faster simply to call on precalculated data rather than to run
<code>make_roth_ineqmat()</code> many thousands of times. Thus the object <code>roth_ineqmats</code> saves
the inequality matrices for scales of cardinality 1-24, to be called upon by
<code>get_roth_ineqmat()</code>.</p>

datasets

Analysis of musical scales (& modes, grooves, etc.) in the vein of
Sherrill 2025 <doi:10.1215/00222909-11595194>.
The initials MCT in the package title refer to the article's title: "Modal
Color Theory." Offers support for conventional musical pitch class set
theory as developed by Forte (1973, ISBN: 9780300016109) and David Lewin
(1987, ISBN: 9780300034936), as well as for the continuous geometries of
Callender, Quinn, & Tymoczko (2008) <doi:10.1126/science.1153021>.
Identifies structural properties of scales and calculates derived values
(sign vector, color number, brightness ratio, etc.). Creates plots such as
"brightness graphs" which visualize these properties.

Paul Sherrill

musicMCT

Analyze the Structure of Musical Scales

roth_ineqmats function

<p><code>roth_ineqmats</code>
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.</p>

roth_ineqmats: Hyperplane arrangements for Rothenberg arrangements

Description

Usage

Arguments

Format