| Prime factorization
|
2 × 19
|
| Step size
|
104.903¢
|
| Octave
|
11\38ed10 (1153.93¢)
|
| Twelfth
|
18\38ed10 (1888.25¢) (→9\19ed10)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
38ED10 is the equal division of the 10th harmonic into 38 parts of 104.9030 cents each. It is related to the 17-limit temperament which tempers out 351/350, 540/539, 561/560, 715/714, and 4225/4224, which is supported by 80edo, 103edo, and 183edo.
| degree
|
cents value
|
corresponding
JI intervals
|
comments
|
| 0
|
0.0000
|
exact 1/1
|
|
| 1
|
104.9030
|
17/16
|
|
| 2
|
209.8060
|
44/39
|
|
| 3
|
314.7090
|
6/5
|
|
| 4
|
419.6120
|
65/51, 51/40
|
|
| 5
|
524.5150
|
65/48
|
|
| 6
|
629.4180
|
23/16
|
|
| 7
|
734.3209
|
55/36
|
|
| 8
|
839.2239
|
13/8
|
|
| 9
|
944.1269
|
88/51
|
|
| 10
|
1049.0299
|
11/6
|
|
| 11
|
1153.9329
|
|
|
| 12
|
1258.8359
|
91/44, 60/29, 176/85
|
|
| 13
|
1363.7389
|
11/5
|
|
| 14
|
1468.6419
|
|
|
| 15
|
1573.5449
|
|
|
| 16
|
1678.4479
|
|
|
| 17
|
1783.3509
|
14/5
|
|
| 18
|
1888.2539
|
|
|
| 19
|
1993.1569
|
|
|
| 20
|
2098.0598
|
|
|
| 21
|
2202.9628
|
25/7
|
|
| 22
|
2307.8658
|
|
|
| 23
|
2412.7688
|
|
|
| 24
|
2517.6718
|
|
|
| 25
|
2622.5748
|
50/11
|
|
| 26
|
2727.4778
|
29/6, 440/91
|
|
| 27
|
2832.3808
|
|
|
| 28
|
2937.2838
|
60/11
|
|
| 29
|
3042.1868
|
255/44
|
|
| 30
|
3147.0898
|
80/13
|
|
| 31
|
3251.9928
|
72/11
|
|
| 32
|
3356.8958
|
160/23
|
|
| 33
|
3461.7988
|
96/13
|
|
| 34
|
3566.7017
|
102/13
|
|
| 35
|
3671.6047
|
25/3
|
|
| 36
|
3776.5077
|
195/22
|
|
| 37
|
3881.4107
|
160/17
|
|
| 38
|
3986.3137
|
exact 10/1
|
just major third plus three octaves
|