18ed10
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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 |