198edo: Difference between revisions
Improve intro. Remove mentioning being the opv of semicanou since I'm planning on a redefinition of the 13-limit version. Add it in the categories instead cuz there's no harm, and remove those which are supported by 99et |
+RTT table |
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== Intervals == | == Intervals == | ||
{{main|Table of 198edo intervals}} | {{main|Table of 198edo intervals}} | ||
== 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]] (%) | |||
|- | |||
| 2.3.5.7.11 | |||
| 2401/2400, 3025/3024, 3136/3125, 4375/4374 | |||
| [{{val| 198 314 460 556 685 }}] | |||
| -0.344 | |||
| 0.291 | |||
| 4.80 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 352/351, 676/675, 847/845, 1716/1715, 3025/3024 | |||
| [{{val| 198 314 460 556 685 733 }}] | |||
| -0.372 | |||
| 0.273 | |||
| 4.50 | |||
|} | |||
=== Rank-2 temperaments === | |||
Note: temperaments supported by 99et 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 | |||
|- | |||
| 2 | |||
| 38\198 | |||
| 230.30 | |||
| 8/7 | |||
| [[Hemigamera]] | |||
|- | |||
| 2 | |||
| 47\198<br>(52\198) | |||
| 315.15<br>(284.85) | |||
| 6/5<br>(33/28) | |||
| [[Semiparakleismic]] | |||
|- | |||
| 2 | |||
| 58\198<br>(41\198) | |||
| 351.52<br>(248.48) | |||
| 49/40<br>(15/13) | |||
| [[Semihemi]] | |||
|- | |||
| 2 | |||
| 56\198<br>(43\198) | |||
| 339.39<br>(260.61) | |||
| 243/200<br>(64/55) | |||
| [[Hemiamity]] | |||
|- | |||
| 2 | |||
| 74\198<br>(25\198) | |||
| 448.48<br>(151.51) | |||
| 35/27<br>(12/11) | |||
| [[Neusec]] | |||
|- | |||
| 3 | |||
| 41\198<br>(25\198) | |||
| 248.48<br>(151.51) | |||
| 15/13<br>(12/11) | |||
| [[Hemimist]] | |||
|- | |||
| 18 | |||
| 52\198<br>(3\198) | |||
| 315.15<br>(18.18) | |||
| 6/5<br>(99/98) | |||
| [[Hemiennealimmal]] | |||
|- | |||
| 22 | |||
| 82\198<br>(1\198) | |||
| 496.97<br>(6.06) | |||
| 4/3<br>(385/384) | |||
| [[Icosidillic]] | |||
|} | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||