239edo: Difference between revisions
Cleanup and +prime error table |
+RTT table and rank-2 temperaments |
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| Line 5: | Line 5: | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|239}} | {{Harmonics in equal|239}} | ||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" | Subgroup | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal 8ve <br>stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.3 | |||
| {{monzo| 379 -239 }} | |||
| [{{val| 239 379 }}] | |||
| -0.307 | |||
| 0.307 | |||
| 6.12 | |||
|- | |||
| 2.3.5 | |||
| {{monzo| 3 -18 11}}, {{monzo| 32 -7 -9 }} | |||
| [{{val| 239 379 555 }}] | |||
| -0.247 | |||
| 0.265 | |||
| 5.27 | |||
|- | |||
| 2.3.5.7 | |||
| 2401/2400, 5120/5103, 29360128/29296875 | |||
| [{{val| 239 379 555 671 }}] | |||
| -0.204 | |||
| 0.241 | |||
| 4.80 | |||
|- | |||
| 2.3.5.7.11 | |||
| 2401/2400, 3025/3024, 4000/3993, 5632/5625 | |||
| [{{val| 239 379 555 671 827 }}] | |||
| -0.220 | |||
| 0.218 | |||
| 4.34 | |||
|} | |||
=== 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 | |||
| 3\239 | |||
| 15.06 | |||
| 121/120 | |||
| [[Yarman I]] (239) | |||
|- | |||
| 1 | |||
| 11\239 | |||
| 35.15 | |||
| 1990656/1953125 | |||
| [[Gammic]] (5-limit) | |||
|- | |||
| 1 | |||
| 7\239 | |||
| 55.23 | |||
| 33/32 | |||
| [[Escapade]] / [[alphaquarter]] | |||
|- | |||
| 1 | |||
| 35\229 | |||
| 175.73 | |||
| 72/65 | |||
| [[Quadrafifths]] (239f) | |||
|- | |||
| 1 | |||
| 54\229 | |||
| 271.13 | |||
| 90/77 | |||
| [[Quasiorwell]] (239) | |||
|- | |||
| 1 | |||
| 70\239 | |||
| 351.46 | |||
| 49/40 | |||
| [[Hemififths]] (7-limit) | |||
|- | |||
| 1 | |||
| 79\239 | |||
| 396.65 | |||
| 44/35 | |||
| [[Squarschmidt]] | |||
|- | |||
| 1 | |||
| 83\239 | |||
| 416.74 | |||
| 14/11 | |||
| [[Unthirds]] (239f) | |||
|- | |||
| 1 | |||
| 116\239 | |||
| 582.43 | |||
| 7/5 | |||
| [[Neptune]] (7-limit) | |||
|} | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||