63edo: Difference between revisions
m →Higher-accuracy interpretations: add back 10/9 and 9/5 manually |
+RTT table and rank-2 temps table |
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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 | |||
| {{Monzo| 100 -63 }} | |||
| {{Mapping| 63 100 }} | |||
| -0.885 | |||
| 0.885 | |||
| 4.65 | |||
|- | |||
| 2.3.5 | |||
| 3125/3072, 1638400/1594323 | |||
| {{Mapping| 63 100 146 }} | |||
| +0.177 | |||
| 1.67 | |||
| 8.77 | |||
|- | |||
| 2.3.5.7 | |||
| 225/224, 245/243, 51200/50421 | |||
| {{Mapping| 63 100 146 177 }} | |||
| -0.099 | |||
| 1.52 | |||
| 8.00 | |||
|- | |||
| 2.3.5.7.11 | |||
| 100/99, 225/224, 245/243, 1331/1323 | |||
| {{mapping| 63 100 146 177 218 }} | |||
| -0.141 | |||
| 1.37 | |||
| 7.17 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 100/99, 169/168, 225/224, 245/243, 275/273 | |||
| {{mapping| 63 100 146 177 218 233 }} | |||
| -0.008 | |||
| 1.28 | |||
| 6.73 | |||
|} | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |||
|- | |||
! Periods<br>per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br>ratio* | |||
! Temperament | |||
|- | |||
| 1 | |||
| 2\63 | |||
| 38.10 | |||
| 49/48 | |||
| [[Slender]] | |||
|- | |||
| 1 | |||
| 13\63 | |||
| 247.62 | |||
| 15/13 | |||
| [[Immune]] | |||
|- | |||
| 1 | |||
| 19\63 | |||
| 361.90 | |||
| 16/13 | |||
| [[Submajor]] | |||
|- | |||
| 1 | |||
| 20\63 | |||
| 380.95 | |||
| 5/4 | |||
| [[Magic]] | |||
|- | |||
| 1 | |||
| 25\63 | |||
| 476.19 | |||
| 21/16 | |||
| [[Subfourth]] | |||
|- | |||
| 3 | |||
| 26\63<br>(5\63) | |||
| 495.24<br>(95.24) | |||
| 4/3<br>(21/20) | |||
| [[Fog]] | |||
|- | |||
| 7 | |||
| 26\63<br>(1\63) | |||
| 495.24<br>(19.05) | |||
| 4/3<br>(81/80) | |||
| [[Sevond]] | |||
|- | |||
| 9 | |||
| 13\63<br>(1\63) | |||
| 247.62<br>(19.05) | |||
| 15/13<br>(99/98) | |||
| [[Enneaportent]] | |||
|} | |||
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[normal lists|minimal form]] in parentheses if distinct | |||
== Scales == | == Scales == | ||