1619edo: Difference between revisions
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== Theory == | == Theory == | ||
1619edo is excellent in the 13-limit | 1619edo is excellent in the 13-limit, where it tempers out [[4225/4224]], [[4375/4374]], [[6656/6655]], 78125/78078, and 117649/117612. It also notably tempers out [[123201/123200]]. It supports [[vidar]], which has the comma basis 4225/4224, 4375/4374, and 6656/6655, and other unnamed expansions of the [[ragismic]] temperament such as the 270 & 441 & 1619, tempering out 4225/4224, 4375/4374, 655473/655360, or the 72 & 270 & 494 & 1619 temperament tempering out 6656/6655 and 2912000/2910897. | ||
1619edo has 7/6 on 360th step, a highly divisible number, 27/25 on 180th, and 33/32 on 72nd as a consequence of tempering out the commas. This means that 72ed33/32 is virtually equivalent to 1619edo. When it comes to using 33/32 as the generator, 1619edo supports the 832 & 1619 temperament, which tempers out 196625/196608, 200000/199927, 2912000/2910897, and 3764768/3764475. | |||
1619edo has 7/6 on 360th step, a highly divisible number, 27/25 on 180th, and 33/32 on 72nd as a consequence of tempering out the commas. This means that 72ed33/32 is equivalent to 1619edo. When it comes to using 33/32 as the generator, 1619edo supports the temperament | |||
1619edo is the 256th [[Prime edo]]. | 1619edo is the 256th [[Prime edo]]. | ||
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! [[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
|- | |- | ||
|2.3 | | 2.3 | ||
| {{monzo| -2566 1619 }} | | {{monzo| -2566 1619 }} | ||
| [{{val| 1619 2566 }}] | | [{{val| 1619 2566 }}] | ||
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| 0.032 | | 0.032 | ||
| 4.2 | | 4.2 | ||
|} | |} | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||