102edo

102edo is the equal division of the octave into 102 steps of size 11.765 cents each. In the 5-limit it tempers out the same commas (2048/2025, 15625/15552, 20000/19683) as 34edo. In the 7-limit it tempers out 686/675 and 1029/1024; in the 11-limit 385/384, 441/440 and 4000/3993; in the 13-limit 91/90 and 169/168; in the 17-limit 136/135 and 154/153; and in the 19-limit 133/132 and 190/189. It is the optimal patent val for 13-limit echidnic temperament, and the rank five temperament tempering out 91/90.

← 101edo

102edo

103edo →

Prime factorization	2 × 3 × 17
Step size	11.7647 ¢
Fifth	60\102 (705.882 ¢) (→ 10\17)
Semitones (A1:m2)	12:6 (141.2 ¢ : 70.59 ¢)
Dual sharp fifth	60\102 (705.882 ¢) (→ 10\17)
Dual flat fifth	59\102 (694.118 ¢)
Dual major 2nd	17\102 (200 ¢) (→ 1\6)
Consistency limit	5
Distinct consistency limit	5

13-limit Echidnic

Degree	Cents	Difference from 46edo
2	23.529	-2.5575¢
4	47.059	-5.115¢
7	82.353	4.092¢
9	105.882	1.5345¢
11	129.412	-1.023¢
13	152.941	8.184¢
16	188.235	5.627¢
18	211.765	3.069¢
20	235.294	0.511¢
22	258.824	-2.046¢
24	282.353	-4.604¢
27	317.647	4.604¢
29	341.176	2.046¢
31	364.706	-0.5115¢
33	388.235	-3.069¢
35	411.765	-5.627¢
38	447.059	3.581¢
40	470.588	1.023¢
42	494.117	-1.5345¢
44	517.647	-4.092¢
47	552.941	5.115¢
49	576.471	2.5575¢