Prime factorization

31 (prime)

Step size

61.3534 ¢

Octave

20\31edt (1227.07 ¢)

Consistency limit

3

Distinct consistency limit

3

31edt divides the tritave into equal parts of 61.353 cents, corresponding to the non-octave third tone scale of 39edo where each degree gets ~.185 cents flatter than the corresponding degree of 39edo. It supports the same higher-limit meantone temperament as 12 edt with better intonation of triads. It also contains a flat version of the BP nonatonic scale and the fair Sigma and false Father scales.

31edt

Intervals