31ed6

← 30ed6

31ed6

32ed6 →

Prime factorization	31 (prime)
Step size	100.063 ¢
Octave	12\31ed6 (1200.76 ¢) (convergent)
Twelfth	19\31ed6 (1901.2 ¢) (convergent)
Consistency limit	10
Distinct consistency limit	6

Division of the sixth harmonic into 31 equal parts (31ED6) is very nearly identical to 12 EDO, but with the 6/1 rather than the 2/1 being just. The octave is about 0.7568 cents stretched and the step size is about 100.0631 cents.

Division of 6/1 into 31 equal parts

Note: 31 equal divisions of the hexatave is not a "real" xenharmonic tuning; it is a slightly stretched version (with an octave of 1200.8 cents) of the normal 12-tone scale, similar to 19ED3.

See also

• 12EDO - relative EDO
• 19ED3 - relative ED3
• 28ED5 - relative ED5
• 34ED7 - relative ED7
• 40ED10 - relative ED10