323edo: Difference between revisions
Note that it's the OPV for 1573/1568 |
+RTT table and rank-2 temperaments |
||
| Line 8: | Line 8: | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Primes in edo|323}} | {{Primes in edo|323}} | ||
== 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| 512 -323 }} | |||
| [{{val| 323 512 }}] | |||
| -0.0669 | |||
| 0.0669 | |||
| 1.80 | |||
|- | |||
| 2.3.5 | |||
| {{monzo| 24 -21 4 }}, {{monzo| 38 -2 -15 }} | |||
| [{{val| 323 512 750 }}] | |||
| -0.0538 | |||
| 0.0577 | |||
| 1.55 | |||
|- | |||
| 2.3.5.7 | |||
| 4375/4374, 589824/588245, 703125/702464 | |||
| [{{val| 323 512 750 907 }}] | |||
| -0.1146 | |||
| 0.1165 | |||
| 3.14 | |||
|- | |||
| 2.3.5.7.11 | |||
| 540/539, 4375/4374, 12005/11979, 16384/16335 | |||
| [{{val| 323 512 750 907 1118 }}] (323e) | |||
| -0.2213 | |||
| 0.2375 | |||
| 6.39 | |||
|- | |||
| 2.3.5.7.11 | |||
| 1375/1372, 4375/4374, 5632/5625, 14641/14580 | |||
| [{{val| 323 512 750 907 1117 }}] (323) | |||
| -0.0066 | |||
| 0.2399 | |||
| 6.46 | |||
|} | |||
=== 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 | |||
| 26\323 | |||
| 96.59 | |||
| 200/189 | |||
| [[Hemiluna]] (323) | |||
|- | |||
| 1 | |||
| 52\323 | |||
| 193.19 | |||
| 352/315 | |||
| [[Luna]] / [[lunatic]] (323e) | |||
|- | |||
| 1 | |||
| 62\323 | |||
| 230.34 | |||
| 8/7 | |||
| [[Gamera]] | |||
|- | |||
| 1 | |||
| 128\323 | |||
| 475.54 | |||
| 320/243 | |||
| [[Vulture]] | |||
|- | |||
| 17 | |||
| 134\323<br>(9\323) | |||
| 248.92<br>(33.44) | |||
| {{monzo| -23 5 9 -2 }}<br>(100352/98415) | |||
| [[Chlorine]] | |||
|- | |||
| 19 | |||
| 134\323<br>(2\323) | |||
| 497.83<br>(7.43) | |||
| 4/3<br>(225/224) | |||
| [[Enneadecal]] | |||
|} | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
[[Category:Deuteromere]] | [[Category:Deuteromere]] | ||
[[Category:Lambeth]] | [[Category:Lambeth]] | ||