step_signvector

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.

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

step_signvector function

<dl><dt>set</dt>
<dd>Numeric vector of pitch-classes in the set</dd>
<dt>ineqmat</dt>
<dd>Specifies which hyperplane arrangement to consider. By default (or by
explicitly entering "mct") it supplies the standard "Modal Color Theory" arrangements
of <code>getineqmat()</code>, but can be set to "white," "black", "gray", "roth", "pastel," or "rosy",
giving the <code>ineqmat</code>s of <code>make_white_ineqmat()</code>, <code>make_black_ineqmat()</code>, <code>make_gray_ineqmat()</code>,
<code>make_roth_ineqmat()</code>, <code>make_pastel_ineqmat()</code>, and <code>make_rosy_ineqmat()</code>. For other
arrangements, the desired inequality matrix can be entered directly.</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

Specify a scale's step pattern with a sign vector — step_signvector

<dl>

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


<dt>ineqmat</dt>
<dd>Specifies which hyperplane arrangement to consider. By default (or by
explicitly entering "mct") it supplies the standard "Modal Color Theory" arrangements
of <code>getineqmat()</code>, but can be set to "white," "black", "gray", "roth", "pastel," or "rosy",
giving the <code>ineqmat</code>s of <code>make_white_ineqmat()</code>, <code>make_black_ineqmat()</code>, <code>make_gray_ineqmat()</code>,
<code>make_roth_ineqmat()</code>, <code>make_pastel_ineqmat()</code>, and <code>make_rosy_ineqmat()</code>. For other
arrangements, the desired inequality matrix can be entered directly.</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>

step_signvector: Specify a scale's step pattern with a sign vector

Description

Usage

Value

Arguments

Examples