183edo: Difference between revisions
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{{Primes in edo|183|columns=10}} | {{Primes in edo|183|columns=10}} | ||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" | Subgroup | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br>8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.3 | |||
| {{monzo| -290 183 }} | |||
| [{{val| 183 290 }}] | |||
| +0.0996 | |||
| 0.100 | |||
| 1.52 | |||
|- | |||
| 2.3.5 | |||
| 32805/32768, {{val| 10 23 -20 }} | |||
| [{{val| 183 290 425 }}] | |||
| -0.0157 | |||
| 0.182 | |||
| 2.78 | |||
|- | |||
| 2.3.5.7 | |||
| 6144/6125, 16875/16807, 19683/19600 | |||
| [{{val| 183 290 425 514 }}] | |||
| -0.1601 | |||
| 0.296 | |||
| 4.51 | |||
|- | |||
| 2.3.5.7.11 | |||
| 540/539, 1375/1372, 5632/5625, 8019/8000 | |||
| [{{val| 183 290 425 514 633 }}] | |||
| -0.0993 | |||
| 0.291 | |||
| 4.44 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 351/350, 540/539, 676/675, 1375/1372, 4096/4095 | |||
| [{{val| 183 290 425 514 633 677 }}] | |||
| -0.0295 | |||
| 0.308 | |||
| 4.70 | |||
|- | |||
| 2.3.5.7.11.13.17 | |||
| 351/350, 442/441, 540/539, 561/560, 1375/1372, 4096/4095 | |||
| [{{val| 183 290 425 514 633 677 748 }}] | |||
| -0.0240 | |||
| 0.286 | |||
| 4.36 | |||
|} | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all right-3 left-5" | |||
|+Table of rank-2 temperaments by generator | |||
! Periods<br>per octave | |||
! Generator<br>(reduced) | |||
! Cents<br>(reduced) | |||
! Associated<br>ratio | |||
! Temperament | |||
|- | |||
| 1 | |||
| 10\183 | |||
| 65.57 | |||
| 27/26 | |||
| [[Luminal]] | |||
|- | |||
| 1 | |||
| 17\183 | |||
| 111.48 | |||
| 16/15 | |||
| [[Stockhausenic]] | |||
|- | |||
| 1 | |||
| 38\183 | |||
| 249.18 | |||
| 15/13 | |||
| [[Hemischis]] | |||
|- | |||
| 1 | |||
| 58\183 | |||
| 380.33 | |||
| 56/45 | |||
| [[Quanharuk]] | |||
|- | |||
| 1 | |||
| 59\183 | |||
| 386.89 | |||
| 5/4 | |||
| [[Grendel]] | |||
|- | |||
| 1 | |||
| 76\183 | |||
| 498.36 | |||
| 4/3 | |||
| [[Helmholtz]] | |||
|- | |||
| 1 | |||
| 77\183 | |||
| 504.92 | |||
| 104976/78125 | |||
| [[Countermeantone]] | |||
|- | |||
| 3 | |||
| 21\183 | |||
| 137.70 | |||
| 13/12 | |||
| [[Avicenna]] | |||
|- | |||
| 3 | |||
| 24\183 | |||
| 157.38 | |||
| 35/32 | |||
| [[Nessafof]] | |||
|- | |||
| 3 | |||
| 28\183 | |||
| 183.61 | |||
| 10/9 | |||
| [[Mirkat]] | |||
|- | |||
| 3 | |||
| 76\183<br>(15\183) | |||
| 498.36<br>(98.36) | |||
| 4/3<br>(200/189) | |||
| [[Term]] | |||
|} | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||