99edo: Difference between revisions
Expansion |
+RTT property table |
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Skipping 11 and 13, it is a very strong system in the 2.3.5.7.17.19.23.29 subgroup. | Skipping 11 and 13, it is a very strong system in the 2.3.5.7.17.19.23.29 subgroup. | ||
=== Prime harmonics === | |||
{{Primes in edo|99|columns=11}} | {{Primes in edo|99|columns=11}} | ||
== Intervals == | == Intervals == | ||
{{main| Table of 99edo 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 | |||
| {{monzo| 157 -99 }} | |||
| [{{val| 99 157 }}] | |||
| -0.339 | |||
| 0.339 | |||
| 2.80 | |||
|- | |||
| 2.3.5 | |||
| 393216/390625, 1600000/1594323 | |||
| [{{val| 99 157 230 }}] | |||
| -0.451 | |||
| 0.319 | |||
| 2.63 | |||
|- | |||
| 2.3.5.7 | |||
| 2401/2400, 3136/3125, 4375/4374 | |||
| [{{val| 99 157 230 278 }}] | |||
| -0.416 | |||
| 0.283 | |||
| 2.33 | |||
|} | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all right-3 left-5" | {| class="wikitable center-all right-3 left-5" | ||
|+Table of rank-2 temperaments by generator | |+Table of rank-2 temperaments by generator | ||
| Line 28: | Line 62: | ||
| 24.242 | | 24.242 | ||
| 686/675, 99/98 | | 686/675, 99/98 | ||
| [[Sengagen]] (99e) / | | [[Sengagen]] (99e) / sengage (99ef) | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 40: | Line 74: | ||
| 193.939 | | 193.939 | ||
| 28/25 | | 28/25 | ||
| [[Hemiwürschmidt]] (99e) / | | [[Hemiwürschmidt]] (99e) / hemithir (99ef) / hemiwur (99f) | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 64: | Line 98: | ||
| 315.152 | | 315.152 | ||
| 6/5 | | 6/5 | ||
| [[Parakleismic]] / | | [[Parakleismic]] (99) / paralytic (99e) / parkleismic (99) / paradigmic (99e) | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 70: | Line 104: | ||
| 339.394 | | 339.394 | ||
| 128/105 | | 128/105 | ||
| [[Amity]] (99ef) / | | [[Amity]] (99ef) / hitchcock (99) | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 82: | Line 116: | ||
| 387.879 | | 387.879 | ||
| 5/4 | | 5/4 | ||
| [[Würschmidt]] / | | [[Würschmidt]] / whirrschmidt | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 112: | Line 146: | ||
| 48.485 | | 48.485 | ||
| 36/35 | | 36/35 | ||
| [[Ennealimmal]] (99e) / ennealimmia / <br>ennealimnic (99ef) / ennealim (99e) / ennealiminal | | [[Ennealimmal]] (99e) / ennealimmia (99) / <br>ennealimnic (99ef) / ennealim (99e) / ennealiminal (99) | ||
|- | |- | ||
| 11 | | 11 | ||