signed_interval_class

Represents an ordered interval between two pitch-classes as a value between
<code>-edo/2</code> and <code>edo/2</code>, i.e. with an absolute value that matches its
interval class as well as a sign (plus or minus) that disambiguates
between the two OPCIs included in the interval-class. That is, C-&gt;D is
<code>2</code> whereas C-&gt;B-flat is <code>-2</code>. Exactly half the octave is represented as a
positive value.

Analysis of musical scales (& modes, grooves, etc.) in the vein of
Sherrill 2025 <https://collections.lib.utah.edu/ark:/87278/s6d2gr78>.
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

signed_interval_class function

<dl><dt>x</dt>
<dd>Single numeric value, representing an ordered pitch-class interval</dd>
<dt>edo</dt>
<dd>Number of unit steps in an octave. Defaults to <code>12</code>.</dd></dl>

Arguments

Ordered pitch-class interval represented as interval class with sign — signed_interval_class

<dl>

<dt>x</dt>
<dd>Single numeric value, representing an ordered pitch-class interval</dd>


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

</dl>

signed_interval_class: Ordered pitch-class interval represented as interval class with sign

Description

Usage

Value

Arguments

Examples