190edo: Difference between revisions
+scales |
+RTT tables |
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=== Prime harmonics === | === Prime harmonics === | ||
{{Primes in edo|190}} | {{Primes in edo|190}} | ||
== 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 | |||
| {{monzo| -301 190 }} | |||
| [{{val| 190 301 }}] | |||
| +0.285 | |||
| 0.285 | |||
| 4.51 | |||
|- | |||
| 2.3.5 | |||
| 2109375/2097152, {{monzo| -7 22 -12 }} | |||
| [{{val| 190 301 441 }}] | |||
| +0.341 | |||
| 0.246 | |||
| 3.89 | |||
|- | |||
| 2.3.5.7 | |||
| 1029/1024, 4375/4374, 235298/234375 | |||
| [{{val| 190 301 441 533 }}] | |||
| +0.479 | |||
| 0.321 | |||
| 5.07 | |||
|- | |||
| 2.3.5.7.11 | |||
| 385/384, 441/440, 4375/4374, 234375/234256 | |||
| [{{val| 190 301 441 533 657 }}] | |||
| +0.490 | |||
| 0.288 | |||
| 4.55 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 385/384, 441/440, 729/728, 847/845, 1001/1000 | |||
| [{{val| 190 301 441 533 657 703 }}] | |||
| +0.432 | |||
| 0.293 | |||
| 4.63 | |||
|} | |||
=== 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 | |||
| 37\190 | |||
| 233.68 | |||
| 8/7 | |||
| [[Slendric]] | |||
|- | |||
| 1 | |||
| 43\190 | |||
| 271.58 | |||
| 75/64 | |||
| [[Orson]] / [[sabric]] | |||
|- | |||
| 1 | |||
| 49\190 | |||
| 309.47 | |||
| 448/375 | |||
| [[Triwell]] | |||
|- | |||
| 1 | |||
| 71\190 | |||
| 448.42 | |||
| 35/27 | |||
| [[Semidimfourth]] | |||
|- | |||
| 1 | |||
| 83\190 | |||
| 524.21 | |||
| 65/48 | |||
| [[Widefourth]] | |||
|- | |||
| 2 | |||
| 28\190 | |||
| 176.84 | |||
| 195/176 | |||
| [[Quatracot]] | |||
|- | |||
| 2 | |||
| 29\190 | |||
| 183.16 | |||
| 10/9 | |||
| [[Unidec]] / ekadash | |||
|- | |||
| 2 | |||
| 59\190<br>(36\190) | |||
| 372.63<br>(227.37) | |||
| 26/21<br>(297/260) | |||
| [[Essence]] | |||
|- | |||
| 2 | |||
| 71\190<br>(24\190) | |||
| 448.42<br>(151.58) | |||
| 35/27<br>(12/11) | |||
| [[Neusec]] | |||
|- | |||
| 5 | |||
| 79\190<br>(3\190) | |||
| 498.95<br>(18.95) | |||
| 4/3<br>(81/80) | |||
| [[Pental]] | |||
|- | |||
| 10 | |||
| 50\190<br>(7\190) | |||
| 315.79<br>(45.79) | |||
| 6/5<br>(40/39) | |||
| [[Deca]] | |||
|- | |||
| 10 | |||
| 79\190<br>(3\190) | |||
| 498.95<br>(18.95) | |||
| 4/3<br>(81/80) | |||
| [[Decal]] | |||
|- | |||
| 19 | |||
| 79\190<br>(1\190) | |||
| 498.95<br>(6.32) | |||
| 4/3<br>(225/224) | |||
| [[Enneadecal]] | |||
|- | |||
| 38 | |||
| 79\190<br>(1\190) | |||
| 498.95<br>(6.32) | |||
| 4/3<br>(225/224) | |||
| [[Hemienneadecal]] | |||
|} | |||
== Scales == | == Scales == | ||