241edo: Difference between revisions
+prime error table |
+RTT table and rank-2 temperaments |
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=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|241}} | {{Harmonics in equal|241}} | ||
== 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| 382 -241 }} | |||
| [{{val| 241 382 }}] | |||
| -0.038 | |||
| 0.038 | |||
| 0.76 | |||
|- | |||
| 2.3.5 | |||
| 78732/78125, {{monzo| 56 -28 -5 }} | |||
| [{{val| 241 382 560 }}] | |||
| -0.322 | |||
| 0.403 | |||
| 8.10 | |||
|- | |||
| 2.3.5.7 | |||
| 3136/3125, 19683/19600, 829940/823543 | |||
| [{{val| 241 382 560 677 }}] | |||
| -0.431 | |||
| 0.397 | |||
| 7.97 | |||
|- | |||
| 2.3.5.7.11 | |||
| 540/539, 3136/3125, 8019/8000, 15488/15435 | |||
| [{{val| 241 382 560 677 834 }}] | |||
| -0.425 | |||
| 0.355 | |||
| 7.14 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 351/350, 540/539, 676/675, 3136/3125, 10648/10647 | |||
| [{{val| 241 382 560 677 834 892 }}] | |||
| -0.397 | |||
| 0.330 | |||
| 6.63 | |||
|} | |||
=== 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 | |||
| 20\241 | |||
| 99.59 | |||
| 200/189 | |||
| [[Quintagar]] / [[quinsandric]] | |||
|- | |||
| 1 | |||
| 50\241 | |||
| 248.96 | |||
| {{monzo| -26 18 -1 }} | |||
| [[Monzismic]] | |||
|- | |||
| 1 | |||
| 76\241 | |||
| 378.42 | |||
| 56/45 | |||
| [[Subpental]] | |||
|- | |||
| 1 | |||
| 89\241 | |||
| 443.15 | |||
| 162/125 | |||
| [[Sensipent]] | |||
|- | |||
| 1 | |||
| 100\241 | |||
| 497.93 | |||
| 4/3 | |||
| [[Gary]] | |||
|} | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
[[Category:Prime EDO]] | [[Category:Prime EDO]] | ||
[[Category:Subpental]] | |||