783edo: Difference between revisions
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| Line 26: | Line 26: | ||
|1 | |1 | ||
|73\783 | |73\783 | ||
| | |111.877 | ||
|16/15 | |16/15 | ||
|Vavoom | |[[Vavoom]] | ||
|- | |- | ||
|1 | |1 | ||
|224\783 | |224\783 | ||
| | |343.295 | ||
|8000/6561 | |8000/6561 | ||
|Raider | |[[Raider]] | ||
|- | |- | ||
|1 | |1 | ||
|233\783 | |233\783 | ||
| | |357.088 | ||
|49/40 | |49/40 | ||
|Dodifo | |[[Dodifo]] | ||
|- | |- | ||
|1 | |1 | ||
|325\783 | |325\783 | ||
| | |498.084 | ||
|4/3 | |4/3 | ||
|Counterschismic | |[[Counterschismic]] | ||
|- | |- | ||
|9 | |9 | ||
|206\783 | |206\783<br>(32\783) | ||
(32\783) | |||
| | | | ||
|6/5 | |6/5<br>(36/35) | ||
(36/35) | |[[Ennealimmal]] | ||
|Ennealimmal | |||
|- | |- | ||
|29 | |29 | ||
|325\783 | |325\783<br>(1\723) | ||
(1\723) | |498.084<br>() | ||
| | |4/3<br>(32805/32768) | ||
|4/3 | |[[Copper]] | ||
(32805/32768) | |||
|Copper | |||
|- | |- | ||
|87 | |87 | ||
|308\783 | |308\783<br>(2\783) | ||
(2\783) | |||
| | | | ||
| | |{{monzo|35 1 -6 -3 -4}}<br>(?) | ||
|[[Francium]] | |||
(?) | |||
|Francium | |||
|}<!-- 3-digit number --> | |}<!-- 3-digit number --> | ||
[[Category:Breed]] | [[Category:Breed]] | ||
[[Category:Ennealimmal]] | [[Category:Ennealimmal]] | ||
[[Category:Ragismic]] | [[Category:Ragismic]] | ||
Revision as of 21:04, 17 June 2023
| ← 782edo | 783edo | 784edo → |
It provides solid approximations of the 5-limit, the 7-limit and the 11-limit, and is consistent up to the 11-limit, making it a flexible and versatile tuning. It is a tuning for the counterschismic, dodifo, ennealimmal, raider, vavoom, and francium.
It supports the rank-3 temperaments: Breed, Landscape, Ragismic.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.039 | -0.107 | -0.244 | +0.406 | -0.681 | -0.741 | -0.195 | +0.078 | +0.308 | -0.208 |
| Relative (%) | +0.0 | -2.6 | -7.0 | -15.9 | +26.5 | -44.4 | -48.3 | -12.7 | +5.1 | +20.1 | -13.6 | |
| Steps (reduced) |
783 (0) |
1241 (458) |
1818 (252) |
2198 (632) |
2709 (360) |
2897 (548) |
3200 (68) |
3326 (194) |
3542 (410) |
3804 (672) |
3879 (747) | |
Regular temperament properties
Rank-2 temperaments
| Periods
per 8ve |
Generator
(reduced) |
Cents
(reduced) |
Associated
ratio |
Temperaments |
|---|---|---|---|---|
| 1 | 73\783 | 111.877 | 16/15 | Vavoom |
| 1 | 224\783 | 343.295 | 8000/6561 | Raider |
| 1 | 233\783 | 357.088 | 49/40 | Dodifo |
| 1 | 325\783 | 498.084 | 4/3 | Counterschismic |
| 9 | 206\783 (32\783) |
6/5 (36/35) |
Ennealimmal | |
| 29 | 325\783 (1\723) |
498.084 () |
4/3 (32805/32768) |
Copper |
| 87 | 308\783 (2\783) |
[35 1 -6 -3 -4⟩ (?) |
Francium |