# 3ed5/4

 ← 2ed5/4 3ed5/4 4ed5/4 →
Prime factorization 3 (prime)
Step size 128.771¢
Octave 9\3ed5/4 (1158.94¢) (→3\1ed5/4)
Twelfth 15\3ed5/4 (1931.57¢) (→5\1ed5/4)
Consistency limit 2
Distinct consistency limit 1

3ED5/4 is the equal division of the just major third into three parts of 128.7712 cents each, approximately corresponding to every third step of 28edo. It is related to the 13-limit temperaments which temper out 10985/10976 and 537109375/536870912.

## Intervals

degree cents value ratio
0 0.0000 1/1
1 128.7712 (5/4)1/3
2 257.5425 (5/4)2/3
3 386.3137 5/4
4 515.0850 (5/4)4/3
5 643.8562 (5/4)5/3
6 772.6274 (5/4)2 = 25/16
7 901.3987 (5/4)7/3
8 1030.1699 (5/4)8/3
9 1158.9411 (5/4)3 = 125/64
10 1287.7124 (5/4)10/3
11 1416.4836 (5/4)11/3
12 1545.2549 (5/4)4 = 625/256
13 1674.0261 (5/4)13/3
14 1802.7973 (5/4)14/3
15 1931.5686 (5/4)5 = 3125/1024
16 2060.3398 (5/4)16/3
17 2189.1110 (5/4)17/3
18 2317.8823 (5/4)6 = 15625/4096
19 2446.6535 (5/4)19/3
20 2575.4248 (5/4)20/3
21 2704.1960 (5/4)7 = 78125/16384
22 2832.9672 (5/4)22/3
23 2961.7385 (5/4)23/3
24 3090.5097 (5/4)8 = 390625/65536
25 3219.2809 (5/4)25/3
26 3348.0522 (5/4)26/3
27 3476.8234 (5/4)9 = 1953125/262144
28 3605.5947 (5/4)28/3
29 3734.3659 (5/4)29/3
30 3863.1371 (5/4)10 = 9765625/1048576
31 3991.9084 (5/4)31/3
32 4120.6796 (5/4)32/3
33 4249.4509 (5/4)11 = 48828125/4194304
34 4378.2221 (5/4)34/3
35 4506.9933 (5/4)35/3
36 4635.7646 (5/4)12 = 244140625/16777216
37 4764.5358 (5/4)37/3
38 4893.3070 (5/4)38/3
39 5022.0783 (5/4)13 = 1220703125/67108864