494edo: Difference between revisions
Cleanup; +infobox; +intro and expansion |
+RTT table and rank-2 temperaments |
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== Intervals == | == Intervals == | ||
{{Main| Table of 494edo intervals }} | {{Main| Table of 494edo intervals }} | ||
== 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| 783 -494 }} | |||
| [{{val| 494 783 }}] | |||
| -0.0219 | |||
| 0.0219 | |||
| 0.90 | |||
|- | |||
| 2.3.5 | |||
| {{monzo| -14 -19 19 }}, {{monzo| 39 -23 3 }} | |||
| [{{val| 494 783 1147 }}] | |||
| -0.0032 | |||
| 0.0318 | |||
| 1.31 | |||
|- | |||
| 2.3.5.7 | |||
| 4375/4374, 703125/702464, {{monzo| 21 3 1 -10 }} | |||
| [{{val| 494 783 1147 1387 }}] | |||
| -0.0385 | |||
| 0.0670 | |||
| 2.76 | |||
|- | |||
| 2.3.5.7.11 | |||
| 3025/3024, 4375/4374, 131072/130977, 234375/234256 | |||
| [{{val| 494 783 1147 1387 1709 }}] | |||
| -0.0365 | |||
| 0.0600 | |||
| 2.47 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 1716/1715, 2080/2079, 3025/3024, 4096/4095, 31250/31213 | |||
| [{{val| 494 783 1147 1387 1709 1828 }}] | |||
| -0.0286 | |||
| 0.0576 | |||
| 2.37 | |||
|- | |||
| 2.3.5.7.11.13.17 | |||
| 1156/1155, 1275/1274, 1716/1715, 2080/2079, 2431/2430, 4096/4095 | |||
| [{{val| 494 783 1147 1387 1709 1828 2019 }}] | |||
| -0.0069 | |||
| 0.0752 | |||
| 3.09 | |||
|} | |||
=== 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 | |||
| 27\494 | |||
| 65.59 | |||
| 27/26 | |||
| [[Luminal]] | |||
|- | |||
| 1 | |||
| 233\422 | |||
| 565.99 | |||
| 104/75 | |||
| [[Tricot]] / [[trillium]] | |||
|- | |||
| 2 | |||
| 67\494 | |||
| 162.75 | |||
| 1125/1024 | |||
| [[Kwazy]] | |||
|- | |||
| 2 | |||
| 86\494 | |||
| 208.91 | |||
| 44/39 | |||
| [[Abigail]] | |||
|- | |||
| 19 | |||
| 205\494<br>(3\494) | |||
| 497.98<br>(7.29) | |||
| 4/3<br>(225/224) | |||
| [[Enneadecal]] | |||
|- | |||
| 38 | |||
| 205\494<br>(3\494) | |||
| 497.98<br>(7.29) | |||
| 4/3<br>(225/224) | |||
| [[Hemienneadecal]] | |||
|} | |||
[[Category:17-limit]] | [[Category:17-limit]] | ||