fpmod

When working with sets in continuous pitch-class spaces (i.e., where
octave equivalence is needed), R's normal operator for modulo division
<code>%%</code> does not always give ideal results. Values that are very close to
(but below) the octave appear to be far from 0. This function uses
rounding to give octave-equivalent results that music theorists expect.

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

fpmod function

<dl><dt>set</dt>
<dd>Numeric vector of pitch-classes in the set</dd>
<dt>edo</dt>
<dd>Number of unit steps in an octave. Defaults to <code>12</code>.</dd>
<dt>rounder</dt>
<dd>Numeric (expected integer), defaults to <code>10</code>:
number of decimal places to round to when testing for equality.</dd></dl>

Arguments

Modulo division with rounding — fpmod

<dl>

<dt>set</dt>
<dd>Numeric vector of pitch-classes in the set</dd>


<dt>edo</dt>
<dd>Number of unit steps in an octave. Defaults to <code>12</code>.</dd>


<dt>rounder</dt>
<dd>Numeric (expected integer), defaults to <code>10</code>:
number of decimal places to round to when testing for equality.</dd>

</dl>

fpmod: Modulo division with rounding

Description

Usage

Value

Arguments

Examples