| Prime factorization
|
2 × 32
|
| Step size
|
221.462¢
|
| Octave
|
5\18ed10 (1107.31¢)
|
| Twelfth
|
9\18ed10 (1993.16¢) (→1\2ed10)
|
| Consistency limit
|
2
|
| Distinct consistency limit
|
2
|
18ED10 is the equal division of the 10th harmonic into 18 parts of 221.4619 cents each. It is related to the hemisensi temperament, which tempers out 126/125, 133/132, 154/153, 171/170, and 189/187 in the 2.3.5.7.11.17.19 subgroup, which is supported by 27edo (27eg val), 38edo (38d val), and 65edo.
| degree
|
cents value
|
corresponding
JI intervals
|
comments
|
| 0
|
0.0000
|
exact 1/1
|
|
| 1
|
221.4619
|
17/15, 25/22
|
|
| 2
|
442.9237
|
9/7, 84/65
|
|
| 3
|
664.3856
|
22/15, 25/17
|
|
| 4
|
885.8475
|
5/3
|
|
| 5
|
1107.3094
|
17/9, 36/19, 19/10
|
|
| 6
|
1328.7712
|
15/7, 28/13, 54/25, 13/6
|
|
| 7
|
1550.2331
|
22/9
|
|
| 8
|
1771.6950
|
36/13, 25/9, 39/14
|
|
| 9
|
1993.1569
|
60/19, 256/81, 405/128, 19/6
|
|
| 10
|
2214.6187
|
68/19, 140/39, 18/5, 65/18
|
|
| 11
|
2436.0806
|
45/11
|
|
| 12
|
2657.5425
|
60/13, 88/19, 65/14, 14/3
|
|
| 13
|
2879.0043
|
100/19, 95/18, 90/17
|
|
| 14
|
3100.4662
|
6/1
|
|
| 15
|
3321.9281
|
34/5, 75/11
|
|
| 16
|
3543.3900
|
54/7, 70/9
|
|
| 17
|
3764.8518
|
44/5
|
|
| 18
|
3986.3137
|
exact 10/1
|
just major third plus three octaves
|