1619edo: Difference between revisions
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== Theory == | == Theory == | ||
{{Harmonics in equal|1619|columns=10}} | {{Harmonics in equal|1619|columns=10}} | ||
1619edo is excellent in the 13-limit. It supports an extension of the [[Ragismic family|ragismic]] temperament with 2 extra dimensions in several ways. First, it supports the 441 & 270 & 1619 rank 3 temperament tempering out 4225/4224, 4375/4374, 123201/123200, 655473/655360, 1664000/1663893, and 6470695/6469632. Second, it supports 72 & 494 & 270 & 1619 temperament tempering out 6656/6655, 2912000/2910897, and 29115625/29113344. | 1619edo is excellent in the 13-limit. It supports an extension of the [[Ragismic family|ragismic]] temperament with 2 extra dimensions in several ways. First, it supports the 441 & 270 & 1619 rank 3 temperament tempering out 4225/4224, 4375/4374, 123201/123200, 655473/655360, 1664000/1663893, and 6470695/6469632. Second, it supports 72 & 494 & 270 & 1619 temperament tempering out 6656/6655, 2912000/2910897, and 29115625/29113344. | ||
[[Category:Ragismic]] | |||
In general, 1619edo supports vidar, with the comma set 4225/4224, 4375/4374, and 6656/6655. | |||
[[Category:Ragismic family]] | |||
Revision as of 09:18, 31 January 2022
1619edo divides the octave into parts of 741 millicents each. It is the 256th Prime EDO.
Theory
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.040 | -0.149 | -0.080 | +0.134 | -0.009 | +0.295 | -0.293 | +0.262 | -0.053 |
| Relative (%) | +0.0 | -5.4 | -20.2 | -10.8 | +18.0 | -1.2 | +39.8 | -39.5 | +35.3 | -7.1 | |
| Steps (reduced) |
1619 (0) |
2566 (947) |
3759 (521) |
4545 (1307) |
5601 (744) |
5991 (1134) |
6618 (142) |
6877 (401) |
7324 (848) |
7865 (1389) | |
1619edo is excellent in the 13-limit. It supports an extension of the ragismic temperament with 2 extra dimensions in several ways. First, it supports the 441 & 270 & 1619 rank 3 temperament tempering out 4225/4224, 4375/4374, 123201/123200, 655473/655360, 1664000/1663893, and 6470695/6469632. Second, it supports 72 & 494 & 270 & 1619 temperament tempering out 6656/6655, 2912000/2910897, and 29115625/29113344.
In general, 1619edo supports vidar, with the comma set 4225/4224, 4375/4374, and 6656/6655.