441edo: Difference between revisions
Cleanup |
+RTT table and rank-2 temperaments |
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== 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]] (%) | |||
|- | |||
| 2.3.5 | |||
| {{monzo| 38 -2 -15 }}, {{monzo| 1 -27 18 }} | |||
| [{{val| 441 699 1024 }}] | |||
| -0.0297 | |||
| 0.0224 | |||
| 0.82 | |||
|- | |||
| 2.3.5.7 | |||
| 2401/2400, 4375/4374, {{monzo| 38 -2 -15 }} | |||
| [{{val| 441 699 1024 1238 }}] | |||
| -0.0117 | |||
| 0.0367 | |||
| 1.35 | |||
|- | |||
| 2.3.5.7.11 | |||
| 2401/2400, 4000/3993, 4375/4374, 131072/130977 | |||
| [{{val| 441 699 1024 1238 1526 }}] | |||
| -0.0708 | |||
| 0.1227 | |||
| 4.51 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 1575/1573, 2080/2079, 2401/2400, 4096/4095, 4375/4374 | |||
| [{{val| 441 699 1024 1238 1526 1632 }}] | |||
| -0.0720 | |||
| 0.1120 | |||
| 4.12 | |||
|- | |||
| 2.3.5.7.11.13.17 | |||
| 936/935, 1225/1224, 1575/1573, 1701/1700, 2025/2023, 4096/4095 | |||
| [{{val| 441 699 1024 1238 1526 1632 1803 }}] | |||
| -0.0645 | |||
| 0.1278 | |||
| 4.70 | |||
|} | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
|+Table of rank-2 temperaments by generator | |||
! Periods<br>per octave | |||
! Generator<br>(reduced) | |||
! Cents<br>(reduced) | |||
! Associated<br>ratio | |||
! Temperaments | |||
|- | |||
| 1 | |||
| 71\441 | |||
| 193.20 | |||
| 262144/234375 | |||
| [[Luna]] / [[lunatic]] | |||
|- | |||
| 1 | |||
| 95\441 | |||
| 258.50 | |||
| {{monzo| -32 13 5 }} | |||
| [[Lafa]] | |||
|- | |||
| 1 | |||
| 116\441 | |||
| 315.65 | |||
| 6/5 | |||
| [[Egads]] | |||
|- | |||
| 1 | |||
| 128\441 | |||
| 348.30 | |||
| 57344/46875 | |||
| [[Subneutral]] | |||
|- | |||
| 1 | |||
| 206\441 | |||
| 560.54 | |||
| 864/625 | |||
| [[Whoosh]] | |||
|- | |||
| 1 | |||
| 208\441 | |||
| 565.99 | |||
| 104/75 | |||
| [[Tricot]] / [[trillium]] | |||
|- | |||
| 7 | |||
| 191\441<br>(2\441) | |||
| 519.73<br>(5.44) | |||
| 27/20<br>(325/324) | |||
| [[Brahmagupta]] | |||
|- | |||
| 9 | |||
| 92\441<br>(6\441) | |||
| 250.34<br>(16.33) | |||
| 140/121<br>(100/99) | |||
| [[Semiennealimmal]] | |||
|- | |||
| 9 | |||
| 116\441<br>(18\441) | |||
| 315.65<br>(48.98) | |||
| 6/5<br>(36/35) | |||
| [[Ennealimmal]] / [[ennealimmia]] | |||
|} | |} | ||