This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)


is an interval list for the Just Major scale.
  • 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^(rd), 6^(th), and 7^(th) intervals are simplified from the Pythagorean model.
  • Whereas in the Pythagorean scale the ratios are 81/64 for a 3^(rd), 27/16 for a 6^(th), and 243/128 for a 7^(th), in Just Intonation the ratios are 5/4 for a 3^(rd), 5/3 for a 6^(th), and 15/8 for a 7^(th).
  • The other intervals are the same as the Pythagorean scale.
  • JustMajor was invented by the theorist Zarlino in the 16^(th) century so that simultaneously sounding tones would have simple ratios.