| Prime factorization
|
2 (prime)
|
| Step size
|
193.157 ¢
|
| Octave
|
6\2ed5/4 (1158.94 ¢) (→ 3\1ed5/4)
|
| Twelfth
|
10\2ed5/4 (1931.57 ¢) (→ 5\1ed5/4)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
| Special properties
|
|
2ED5/4 is the equal division of the just major third into two parts of 193.1569 cents each, corresponding to 6.2126 edo. It is related to the luna temperament.
Intervals
| degree
|
cents value
|
ratio
|
| 0
|
0.0000
|
1/1
|
| 1
|
193.1569
|
(5/4)1/2
|
| 2
|
386.3137
|
5/4
|
| 3
|
579.4706
|
(5/4)3/2
|
| 4
|
772.6274
|
(5/4)2 = 25/16
|
| 5
|
965.7843
|
(5/4)5/2
|
| 6
|
1158.9411
|
(5/4)3 = 125/64
|
| 7
|
1352.0980
|
(5/4)7/2
|
| 8
|
1545.2549
|
(5/4)4 = 625/256
|
| 9
|
1738.4117
|
(5/4)9/2
|
| 10
|
1931.5686
|
(5/4)5 = 3125/1024
|
| 11
|
2124.7254
|
(5/4)11/2
|
| 12
|
2317.8823
|
(5/4)6 = 15625/4096
|
| 13
|
2511.0391
|
(5/4)13/2
|
| 14
|
2704.1960
|
(5/4)7 = 78125/16384
|
| 15
|
2897.3529
|
(5/4)15/2
|
| 16
|
3090.5097
|
(5/4)8 = 390625/65536
|
| 17
|
3283.6666
|
(5/4)17/2
|
| 18
|
3476.8234
|
(5/4)9 = 1953125/262144
|
| 19
|
3669.9803
|
(5/4)19/2
|
| 20
|
3863.1371
|
(5/4)10 = 9765625/1048576
|
| 21
|
4056.2940
|
(5/4)21/2
|
| 22
|
4249.4509
|
(5/4)11 = 48828125/4194304
|
| 23
|
4442.6077
|
(5/4)23/2
|
| 24
|
4635.7646
|
(5/4)12 = 244140625/16777216
|
| 25
|
4828.9214
|
(5/4)25/2
|
| 26
|
5022.0783
|
(5/4)13 = 1220703125/67108864
|