32edo: Difference between revisions
Undo revision 198810 by VectorGraphics (talk). Extreme metrics aren't recommendable Tag: Undo |
+RTT table and rank-2 temps table |
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| distinct = 4 | | distinct = 4 | ||
}} | }} | ||
== 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| 51 -32 }} | |||
| {{Mapping| 32 51 }} | |||
| -3.327 | |||
| 3.32 | |||
| 8.87 | |||
|- | |||
| 2.3.7 | |||
| 64/63, 46118408/43046721 | |||
| {{Mapping| 32 51 90 }} | |||
| -2.950 | |||
| 2.76 | |||
| 7.38 | |||
|- style="border-top: double;" | |||
| 2.3.5 | |||
| 648/625, 20480/19683 | |||
| {{Mapping| 32 51 75 }} (32c) | |||
| -5.965 | |||
| 4.61 | |||
| 12.3 | |||
|- | |||
| 2.3.5.7 | |||
| 64/63, 245/243, 392/375 | |||
| {{Mapping| 32 51 75 90 }} (32c) | |||
| -5.027 | |||
| 4.31 | |||
| 11.5 | |||
|- style="border-top: double;" | |||
| 2.3.5 | |||
| 2048/2025, 3125/2916 | |||
| {{Mapping| 32 51 74 }} (32) | |||
| +0.177 | |||
| 4.72 | |||
| 12.6 | |||
|- | |||
| 2.3.5.7 | |||
| 50/49, 64/63, 3125/2916 | |||
| {{Mapping| 32 51 75 90 }} (32) | |||
| -1.008 | |||
| 4.15 | |||
| 11.1 | |||
|} | |||
=== 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* | |||
! Temperaments | |||
|- | |||
| 1 | |||
| 1\32 | |||
| 37.5 | |||
| 49/48 | |||
| [[Slender]] (32) | |||
|- | |||
| 1 | |||
| 9\32 | |||
| 262.5 | |||
| 7/6 | |||
| [[Septimin]] (32f) | |||
|- | |||
| 1 | |||
| 9\32 | |||
| 337.5 | |||
| 6/5 | |||
| [[Sixix]] (32f) | |||
|- | |||
| 1 | |||
| 13\32 | |||
| 487.5 | |||
| 4/3 | |||
| [[Superpyth]] (32c, 7-limit) / [[ultrapyth]] (32) / [[quasiultra]] (32) | |||
|- | |||
| 1 | |||
| 15\32 | |||
| 562.5 | |||
| 7/5 | |||
| [[Progress]] (32cf) | |||
|- | |||
| 2 | |||
| 13\32 | |||
| 487.5 | |||
| 4/3 | |||
| [[Pajara]] (32, 7-limit) | |||
|- | |||
| 8 | |||
| 14\33<br>(1\32) | |||
| 487.5<br>(37.5) | |||
| 4/3<br>(36/35) | |||
| [[Octonion]] (32cf) | |||
|- | |||
| 16 | |||
| 14\33<br>(1\32) | |||
| 487.5<br>(37.5) | |||
| 4/3<br>(45/44) | |||
| [[Sedecic]] (32) | |||
|} | |||
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | |||
== Delta-rational harmony == | == Delta-rational harmony == | ||
| Line 1,179: | Line 1,294: | ||
[[Category:Listen]] | [[Category:Listen]] | ||
[[Category:Sixix]] | [[Category:Sixix]] | ||