359edo: Difference between revisions
+infobox; improve intro; update prime error table |
+RTT table and rank-2 temperaments |
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=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|359|columns=11}} | {{Harmonics in equal|359|columns=11}} | ||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[Comma list|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| -569 359 }} | |||
| [{{val| 359 569 }}] | |||
| +0.0016 | |||
| 0.0016 | |||
| 0.05 | |||
|- | |||
| 2.3.5 | |||
| 393216/390625, {{monzo| -69 45 -1 }} | |||
| [{{val| 359 569 834 }}] | |||
| -0.2042 | |||
| 0.2910 | |||
| 8.71 | |||
|- | |||
| 2.3.5.7 | |||
| 2401/2400, 3136/3125, {{monzo| -18 24 -5 -3 }} | |||
| [{{val| 359 569 834 1008 }}] | |||
| -0.2007 | |||
| 0.2521 | |||
| 7.54 | |||
|- | |||
| 2.3.5.7.11 | |||
| 2401/2400, 3136/3125, 8019/8000, 42592/42525 | |||
| [{{val| 359 569 834 1008 1242 }}] | |||
| -0.1729 | |||
| 0.2322 | |||
| 6.95 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 729/728, 847/845, 1001/1000, 1716/1715, 3136/3125 | |||
| [{{val| 359 569 834 1008 1242 1328 }}] (359f) | |||
| -0.2257 | |||
| 0.2426 | |||
| 7.26 | |||
|} | |||
=== 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 | |||
| 58\359 | |||
| 193.87 | |||
| 28/25 | |||
| [[Hemiwürschmidt]] | |||
|- | |||
| 1 | |||
| 116\359 | |||
| 387.74 | |||
| 5/4 | |||
| [[Würschmidt]] (5-limit) | |||
|- | |||
| 1 | |||
| 149\359 | |||
| 498.05 | |||
| 4/3 | |||
| [[Counterschismic]] | |||
|} | |||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
[[Category:Prime EDO]] | [[Category:Prime EDO]] | ||
[[Category:Hera]] | [[Category:Hera]] | ||