JustMajor

Obsolete as of version 15.

JustMajor

is an interval list for the Just Major scale.

Details and Options

To use JustMajor, you first need to load the Music Package using Needs["Music`"].
Intervals are measured in cents.
MusicScale[JustMajor,freq,dur] creates a Sound object that is a sequence of pitches corresponding to the Just Major scale.
In the Just Major scale, the ratios of the 3, 6, and 7 intervals are simplified from the Pythagorean model.
Whereas in the Pythagorean scale the ratios are 81/64 for a 3, 27/16 for a 6, and 243/128 for a 7, in Just Intonation the ratios are 5/4 for a 3, 5/3 for a 6, and 15/8 for a 7.
The other intervals are the same as the Pythagorean scale.
JustMajor was invented by the theorist Zarlino in the 16 century so that simultaneously sounding tones would have simple ratios.