meantone_fifth

Creates an interval that approximates a pure 3:2 fifth
which has been tempered smaller by some fraction of a syntonic comma,
making it easy to construct diatonic meantone scales. The default
is to create a quarter-comma meantone fifth (i.e. about 697 cents).

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

meantone_fifth function

<dl><dt>frac</dt>
<dd>The fraction of a syntonic comma that the fifth should
be tempered by. Defaults to <code>1/4</code>. Numeric.</dd></dl>

Arguments

Define a tempered fifth for various meantone scales — meantone_fifth

<dl>

<dt>frac</dt>
<dd>The fraction of a syntonic comma that the fifth should
be tempered by. Defaults to <code>1/4</code>. Numeric.</dd>

</dl>

meantone_fifth: Define a tempered fifth for various meantone scales

Description

Usage

Value

Arguments

Examples