Gamma scale

The γ (gamma) scale is a non-octave repeating musical scale which splits the neutral third (just: 347.41 cents , ET: 350 cents , Gamma scale: 351 cents ) into two equal parts, or ten equal parts of 35 cents each . This totals 34.29 steps per octave.

It may be derived from using 20:11 to approximate the interval 3:2/5:4[1], which equals 6:5 .

It was invented by Wendy Carlos.

More accurately the gamma scale step is 35.099 cents and there are 34.1895 per octave[1].

See also

Sources

  1. ^ a b Benson, Dave (2006). Music: A Mathematical Offering, p.232-233. ISBN 0521853877. "Carlos has 34.188 γ-scale degrees to the octave, corresponding to a scale degree of 35.1 cents."

External links