18ed10: Difference between revisions
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'''18ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 18 parts of 221.4619 [[cent|cents]] each. It is related to the [[Sensipent family|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]] ( | {{Infobox ET}} | ||
'''18ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 18 parts of 221.4619 [[cent|cents]] each. It is related to the [[Sensipent family|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]]. | |||
{| class="wikitable" | {| class="wikitable" | ||
| Line 50: | Line 51: | ||
| | 8 | | | 8 | ||
| | 1771.6950 | | | 1771.6950 | ||
| | [[18/13|36/13]], [[25/18|25/9]] | | | [[18/13|36/13]], [[25/18|25/9]], 39/14 | ||
| | | | | | ||
|- | |- | ||
| Line 103: | Line 104: | ||
| | just major third plus three octaves | | | just major third plus three octaves | ||
|} | |} | ||
Latest revision as of 19:20, 1 August 2025
| ← 17ed10 | 18ed10 | 19ed10 → |
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 |