19ed10: Difference between revisions
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'''19ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 19 parts of 209.8060 [[cent|cents]] each. It is related to the 13-limit temperament which tempers out 540/539, | '''19ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 19 parts of 209.8060 [[cent|cents]] each. It is related to the 13-limit temperament which tempers out 351/350, 540/539, 1375/1372, and 4225/4224, which is supported by [[80edo]], [[103edo]], and [[183edo]]. | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 15: | Line 15: | ||
| | 1 | | | 1 | ||
| | 209.8060 | | | 209.8060 | ||
| | | | | 44/39 | ||
| | | | | | ||
|- | |- | ||
| Line 25: | Line 25: | ||
| | 3 | | | 3 | ||
| | 629.4180 | | | 629.4180 | ||
| | | | | 23/16, [[36/25]] | ||
| | | | | | ||
|- | |- | ||
| Line 40: | Line 40: | ||
| | 6 | | | 6 | ||
| | 1258.8359 | | | 1258.8359 | ||
| | | | | 91/44, 60/29 | ||
| | | | | | ||
|- | |- | ||
| Line 50: | Line 50: | ||
| | 8 | | | 8 | ||
| | 1678.4479 | | | 1678.4479 | ||
| | | | | 50/19, 95/36 | ||
| | | | | | ||
|- | |- | ||
| Line 65: | Line 65: | ||
| | 11 | | | 11 | ||
| | 2307.8658 | | | 2307.8658 | ||
| | | | | [[36/19|72/19]], [[19/10|19/5]] | ||
| | | | | | ||
|- | |- | ||
| Line 75: | Line 75: | ||
| | 13 | | | 13 | ||
| | 2727.4778 | | | 2727.4778 | ||
| | | | | 29/6, 440/91 | ||
| | | | | | ||
|- | |- | ||
| Line 90: | Line 90: | ||
| | 16 | | | 16 | ||
| | 3356.8957 | | | 3356.8957 | ||
| | | | | 125/18, 160/23 | ||
| | | | | | ||
|- | |- | ||
| Line 100: | Line 100: | ||
| | 18 | | | 18 | ||
| | 3776.5077 | | | 3776.5077 | ||
| | | | | 195/22 | ||
| | | | | | ||
|- | |- | ||
Revision as of 07:56, 21 January 2019
19ED10 is the equal division of the 10th harmonic into 19 parts of 209.8060 cents each. It is related to the 13-limit temperament which tempers out 351/350, 540/539, 1375/1372, 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 | 209.8060 | 44/39 | |
| 2 | 419.6120 | 14/11 | |
| 3 | 629.4180 | 23/16, 36/25 | |
| 4 | 839.2239 | 13/8 | |
| 5 | 1049.0299 | 11/6 | |
| 6 | 1258.8359 | 91/44, 60/29 | |
| 7 | 1468.6419 | 7/3 | |
| 8 | 1678.4479 | 50/19, 95/36 | |
| 9 | 1888.2539 | ||
| 10 | 2098.0598 | ||
| 11 | 2307.8658 | 72/19, 19/5 | |
| 12 | 2517.6718 | 30/7 | |
| 13 | 2727.4778 | 29/6, 440/91 | |
| 14 | 2937.2838 | 60/11 | |
| 15 | 3147.0898 | 80/13 | |
| 16 | 3356.8957 | 125/18, 160/23 | |
| 17 | 3566.7017 | 55/7 | |
| 18 | 3776.5077 | 195/22 | |
| 19 | 3986.3137 | exact 10/1 | just major third plus three octaves |