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Created page with "'''Division of the 7th harmonic into 34 equal parts''' (44ed7) is related to 25edt, but with the 7/1 rather than the 3/1 being just. The step size is about 76.5642..." Tags: Mobile edit Mobile web edit |
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'''[[Ed7|Division of the 7th harmonic]] into | '''[[Ed7|Division of the 7th harmonic]] into 44 equal parts''' (44ed7) is related to [[25edt]], but with the 7/1 rather than the 3/1 being just. The step size is about 76.5642 cents, corresponding to 15.6731 [[edo]]. | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 15: | Line 15: | ||
| | 1 | | | 1 | ||
| | 76.5642 | | | 76.5642 | ||
| | | | | [[25/24]]~[[22/21]] | ||
| | | | | | ||
|- | |- | ||
| | 2 | | | 2 | ||
| | 153.1285 | | | 153.1285 | ||
| | | | | [[12/11]] | ||
| | | | | | ||
|- | |- | ||
| | 3 | | | 3 | ||
| | 229.6927 | | | 229.6927 | ||
| | | | | [[8/7]] | ||
| | | | | | ||
|- | |- | ||
| | 4 | | | 4 | ||
| | 306.2569 | | | 306.2569 | ||
| | | | | [[25/21]] | ||
| | | | | | ||
|- | |- | ||
| | 5 | | | 5 | ||
| | 382.8211 | | | 382.8211 | ||
| | | | | [[5/4]] | ||
| | | | | | ||
|- | |- | ||
| | 6 | | | 6 | ||
| | 459.3854 | | | 459.3854 | ||
| | | | | [[13/10]] | ||
| | | | | | ||
|- | |- | ||
| | 7 | | | 7 | ||
| | 535.9496 | | | 535.9496 | ||
| | | | | [[15/11]] | ||
| | | | | | ||
|- | |- | ||
| Line 55: | Line 55: | ||
| | 9 | | | 9 | ||
| | 689.0780 | | | 689.0780 | ||
| | | | | 119/80 | ||
| | | | | | ||
|- | |- | ||
| | 10 | | | 10 | ||
| | 765.6423 | | | 765.6423 | ||
| | | | | [[14/9]] | ||
| | | | | | ||
|- | |- | ||
| | 11 | | | 11 | ||
| | 842.2065 | | | 842.2065 | ||
| | | | | [[13/8]] | ||
| | | | | | ||
|- | |- | ||
| | 12 | | | 12 | ||
| | 918.7707 | | | 918.7707 | ||
| | | | | [[17/10]] | ||
| | | | | | ||
|- | |- | ||
| | 13 | | | 13 | ||
| | 995.3349 | | | 995.3349 | ||
| | | | | [[16/9]] | ||
| | | | | | ||
|- | |- | ||
| | 14 | | | 14 | ||
| | 1071.8992 | | | 1071.8992 | ||
| | | | | [[13/7]] | ||
| | | | | | ||
|- | |- | ||
| | 15 | | | 15 | ||
| | 1148.4634 | | | 1148.4634 | ||
| | | | | [[35/18]] | ||
| | | | | | ||
|- | |- | ||
| Line 95: | Line 95: | ||
| | 17 | | | 17 | ||
| | 1301.5918 | | | 1301.5918 | ||
| | | | | [[17/16|17/8]] | ||
| | | | | | ||
|- | |- | ||
| | 18 | | | 18 | ||
| | 1378.1561 | | | 1378.1561 | ||
| | | | | [[10/9|20/9]] | ||
| | | | | | ||
|- | |- | ||
| | 19 | | | 19 | ||
| | 1454.7203 | | | 1454.7203 | ||
| | | | | [[22/19|44/19]]~51/22 | ||
| | | | | | ||
|- | |- | ||
| Line 115: | Line 115: | ||
| | 21 | | | 21 | ||
| | 1607.8487 | | | 1607.8487 | ||
| | | | | [[19/15|38/15]] | ||
| | | | | | ||
|- | |- | ||
| Line 125: | Line 125: | ||
| | 23 | | | 23 | ||
| | 1760.9772 | | | 1760.9772 | ||
| | | | | [[18/13|36/13]] | ||
| | | | | | ||
|- | |- | ||
| | 24 | | | 24 | ||
| | 1837.5414 | | | 1837.5414 | ||
| | | | | [[13/9|26/9]] | ||
| | | | | | ||
|- | |- | ||
| Line 140: | Line 140: | ||
| | 26 | | | 26 | ||
| | 1990.6699 | | | 1990.6699 | ||
| | | | | 63/20 | ||
| | | | | | ||
|- | |- | ||
| | 27 | | | 27 | ||
| | 2067.2341 | | | 2067.2341 | ||
| | | | | [[28/17|56/17]] | ||
| | | | | | ||
|- | |- | ||
| Line 155: | Line 155: | ||
| | 29 | | | 29 | ||
| | 2220.3625 | | | 2220.3625 | ||
| | | | | [[9/5|18/5]] | ||
| | | | | | ||
|- | |- | ||
| | 30 | | | 30 | ||
| | 2296.9268 | | | 2296.9268 | ||
| | | | | 49/13 | ||
| | | | | | ||
|- | |- | ||
| | 31 | | | 31 | ||
| | 2373.4910 | | | 2373.4910 | ||
| | | | | 63/16 | ||
| | | | | | ||
|- | |- | ||
| Line 180: | Line 180: | ||
| | 34 | | | 34 | ||
| | 2603.1837 | | | 2603.1837 | ||
| | | | | [[9/2]] | ||
| | | | | | ||
|- | |- | ||
| | 35 | | | 35 | ||
| | 2679.7479 | | | 2679.7479 | ||
| | | | | [[20/17|80/17]] | ||
| | | | | | ||
|- | |- | ||
Revision as of 08:41, 9 January 2019
Division of the 7th harmonic into 44 equal parts (44ed7) is related to 25edt, but with the 7/1 rather than the 3/1 being just. The step size is about 76.5642 cents, corresponding to 15.6731 edo.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 76.5642 | 25/24~22/21 | |
| 2 | 153.1285 | 12/11 | |
| 3 | 229.6927 | 8/7 | |
| 4 | 306.2569 | 25/21 | |
| 5 | 382.8211 | 5/4 | |
| 6 | 459.3854 | 13/10 | |
| 7 | 535.9496 | 15/11 | |
| 8 | 612.5138 | ||
| 9 | 689.0780 | 119/80 | |
| 10 | 765.6423 | 14/9 | |
| 11 | 842.2065 | 13/8 | |
| 12 | 918.7707 | 17/10 | |
| 13 | 995.3349 | 16/9 | |
| 14 | 1071.8992 | 13/7 | |
| 15 | 1148.4634 | 35/18 | |
| 16 | 1225.0276 | ||
| 17 | 1301.5918 | 17/8 | |
| 18 | 1378.1561 | 20/9 | |
| 19 | 1454.7203 | 44/19~51/22 | |
| 20 | 1531.2845 | ||
| 21 | 1607.8487 | 38/15 | |
| 22 | 1684.4130 | 119/45, 45/17 | |
| 23 | 1760.9772 | 36/13 | |
| 24 | 1837.5414 | 26/9 | |
| 25 | 1914.1056 | ||
| 26 | 1990.6699 | 63/20 | |
| 27 | 2067.2341 | 56/17 | |
| 28 | 2143.7983 | ||
| 29 | 2220.3625 | 18/5 | |
| 30 | 2296.9268 | 49/13 | |
| 31 | 2373.4910 | 63/16 | |
| 32 | 2450.0552 | ||
| 33 | 2526.6194 | ||
| 34 | 2603.1837 | 9/2 | |
| 35 | 2679.7479 | 80/17 | |
| 36 | 2756.3121 | ||
| 37 | 2832.8763 | ||
| 38 | 2909.4406 | ||
| 39 | 2986.0048 | ||
| 40 | 3062.5690 | ||
| 41 | 3139.1332 | ||
| 42 | 3215.6975 | ||
| 43 | 3292.2617 | ||
| 44 | 3368.8259 | exact 7/1 | harmonic seventh plus two octaves |