472edo: Difference between revisions
Cleanup and expansion |
+RTT table and rank-2 temperaments |
||
| Line 7: | Line 7: | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|472}} | {{Harmonics in equal|472}} | ||
== 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]] (%) | |||
|- | |||
| 2.3.5.7 | |||
| 2401/2400, 32805/32768, {{monzo| 8 14 -13 }} | |||
| [{{val| 472 748 1096 1325 }}] | |||
| +0.0435 | |||
| 0.0814 | |||
| 3.20 | |||
|- | |||
| 2.3.5.7.11 | |||
| 2401/2400, 9801/9800, 32805/32768, 46656/46585 | |||
| [{{val| 472 748 1096 1325 1633 }}] | |||
| +0.0130 | |||
| 0.0950 | |||
| 3.74 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 729/728, 1575/1573, 2200/2197, 2401/2400, 4096/4095 | |||
| [{{val| 472 748 1096 1325 1633 1747 }}] | |||
| -0.0341 | |||
| 0.1365 | |||
| 5.37 | |||
|} | |||
=== Rank-2 temperaments === | |||
Note: 5-limit temperaments supported by [[118edo|118et]] are not included. | |||
{| 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 | |||
| 69\472 | |||
| 175.42 | |||
| 448/405 | |||
| [[Sesquiquartififths]] | |||
|- | |||
| 1 | |||
| 137\472 | |||
| 348.31 | |||
| 57344/46875 | |||
| [[Subneutral]] | |||
|- | |||
| 1 | |||
| 205\472 | |||
| 498.31 | |||
| 875/648 | |||
| [[Maviloid]] | |||
|- | |||
| 2 | |||
| 69\472 | |||
| 175.42 | |||
| 448/405 | |||
| [[Bisesqui]] | |||
|- | |||
| 8 | |||
| 196\472<br>(19\472) | |||
| 498.31<br>(48.31) | |||
| 4/3<br>(36/35) | |||
| [[Octant]] | |||
|} | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
[[Category:Zeta]] | [[Category:Zeta]] | ||