Prime factorization

31 (prime)

Step size

61.3534¢

Octave

20\31edt (1227.07¢)

Consistency limit

2

Distinct consistency limit

2

31edt divides the tritave into equal parts of 61.353 cents, corresponding to the nonoctave third tone scale of 39edo where each degree gets ~.185 cents flatter than the corresponding degree of 39edo. It supports the same higherlimit 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.
Intervals
See also: Specific intervals in 31edt
Steps

Cents

Approximate Ratios

0

0

1/1

1

61.353

27/26

2

122.707


3

184.06

10/9, 39/35

4

245.414

15/13, 63/55, 81/70

5

306.767


6

368.12

26/21

7

429.474

9/7, 14/11, 50/39, 77/60

8

490.827


9

552.18


10

613.534

10/7, 77/54, 78/55

11

674.887

49/33, 77/52, 81/55

12

736.241


13

797.594

11/7, 52/33, 78/49

14

858.947

18/11, 33/20, 49/30, 81/49

15

920.301


16

981.654


17

1043.008

11/6, 20/11, 49/27

18

1104.361

21/11, 49/26

19

1165.714


20

1227.068

55/27

21

1288.421

21/10, 55/26, 70/33

22

1349.775


23

1411.128


24

1472.481

7/3, 33/14

25

1533.835

63/26

26

1595.188


27

1656.541

13/5, 55/21, 70/27

28

1717.895

27/10, 35/13

29

1779.248


30

1840.602

26/9

31

1901.955

3/1
