99edo: Difference between revisions
| Line 24: | Line 24: | ||
| 1 | | 1 | ||
| 7\99 | | 7\99 | ||
| 84. | | 84.8484 | ||
| 21/20 | |21/20 | ||
| [[Amicable]] | |[[Amicable]] | ||
|- | |- | ||
| 1 | |1 | ||
| 16\99 | |16\99 | ||
| 193. | |193.9393 | ||
| 28/25 | |28/25 | ||
| [[Hemiwürschmidt]] (99e) / Hemithir (99ef) / Hemiwur (99f) | |[[Hemiwürschmidt]] (99e) / Hemithir (99ef) / Hemiwur (99f) | ||
|- | |- | ||
| 1 | |1 | ||
| 19\99 | |19\99 | ||
| 230.303 | |230.303 | ||
| 8/7 | |8/7 | ||
| [[Gamera]] | |[[Gamera]] | ||
|- | |- | ||
| 1 | |1 | ||
| 20\99 | |20\99 | ||
| 242. | | 242.4242 | ||
| 147/128 | |147/128 | ||
| [[Septiquarter]] | |[[Septiquarter]] | ||
|- | |- | ||
| 1 | |1 | ||
| 25\99 | |25\99 | ||
| 303. | |303.0303 | ||
| 25/21 | |25/21 | ||
| [[Quinmite]] | |[[Quinmite]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 27\99 | |27\99 | ||
| 315. | |315.1515 | ||
| 6/5 | |6/5 | ||
| [[Parakleismic]] / Parkleismic / Paradigmic (99e) | |[[Parakleismic]] / Parkleismic / Paradigmic (99e) | ||
|- | |- | ||
| 1 | |1 | ||
| 28\99 | |28\99 | ||
| 339. | | 339.3939 | ||
| 128/105 | |128/105 | ||
| [[Amity]] (99ef) / Hitchcock | |[[Amity]] (99ef) / Hitchcock | ||
|- | |- | ||
| 1 | |1 | ||
| 29\99 | |29\99 | ||
| 351. | | 351.5151 | ||
| 49/40 | |49/40 | ||
| [[Hemififths]] (99ef) | |[[Hemififths]] (99ef) | ||
|- | |- | ||
| 1 | |1 | ||
| 32\99 | |32\99 | ||
| 387. | |387.8787 | ||
| 5/4 | |5/4 | ||
| [[Würschmidt]] / Whirrschmidt | |[[Würschmidt]] / Whirrschmidt | ||
|- | |- | ||
| 1 | |1 | ||
| 37\99 | |37\99 | ||
| 448. | |448.4848 | ||
| 35/27 | |35/27 | ||
| [[Semidimfourth]] | |[[Semidimfourth]] | ||
|- | |- | ||
| 3 | |3 | ||
| 5\99 | |5\99 | ||
| 60.606 | |60.606 | ||
| 28/27 | |28/27 | ||
| [[Chromat]] | |[[Chromat]] | ||
|- | |- | ||
| 3 | |3 | ||
| 13\99 | |13\99 | ||
| 157. | |157.5757 | ||
| 35/32 | |35/32 | ||
| [[Nessafof]] | |[[Nessafof]] | ||
|- | |- | ||
| 3 | | 3 | ||
| 41\99 (8\99) | |41\99 (8\99) | ||
| (4)96. | | (4)96.9696 | ||
| 4/3 (18/17~19/18) | |4/3 (18/17~19/18) | ||
| [[Misty]] | |[[Misty]] | ||
|- | |- | ||
| 9 | | 9 | ||
| 4\99 | |4\99 | ||
| 48. | |48.4848 | ||
| 36/35 | |36/35 | ||
| [[Ennealimmal]] | |[[Ennealimmal]] | ||
|- | |- | ||
| 11 | |11 | ||
| 41\99 (4\99) | |41\99 (4\99) | ||
| 496. | |496.9696 (48.4848) | ||
| 4/3 (36/35) | |4/3 (36/35) | ||
| [[Hendecatonic]] | |[[Hendecatonic]] | ||
|} | |} | ||
== Music == | ==Scales== | ||
* [http://www.archive.org/details/NonagintaEtNovem Nonaginta et Novem] ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/Nonaginta%20et%20Novem.mp3 play]'' by [[Gene Ward Smith]] | *[[tutone6]] | ||
* [http://micro.soonlabel.com/gene_ward_smith/transformers/benny.mp3 Benny] Smith-Palestrina in [[zeus7tri]] | *[[tutone7]] | ||
*[[tutone13]] | |||
*[[zeus7tri]] | |||
*[[zeus8tri]] | |||
Since 98edo has a step of 12.1212 cents, it also allows one to use its MOS scales as circulating temperaments. | |||
{| class="wikitable" | |||
|+Circulating temperaments in 99edo | |||
!Tones | |||
!Pattern | |||
!L:s | |||
|- | |||
|5 | |||
|[[4L 1s]] | |||
|20:19 | |||
|- | |||
|6 | |||
|[[3L 3s]] | |||
|17:16 | |||
|- | |||
| 7 | |||
|[[1L 6s]] | |||
|15:14 | |||
|- | |||
|8 | |||
|[[3L 5s]] | |||
|13:12 | |||
|- | |||
|9 | |||
|[[9edo]] | |||
|equal | |||
|- | |||
|10 | |||
|[[9L 1s]] | |||
|10:9 | |||
|- | |||
|11 | |||
|[[11edo]] | |||
|equal | |||
|- | |||
|12 | |||
|[[3L 9s]] | |||
|9:8 | |||
|- | |||
|13 | |||
|[[8L 5s]] | |||
| rowspan="2" |8:7 | |||
|- | |||
|14 | |||
|[[1L 13s]] | |||
|- | |||
|15 | |||
| [[9L 6s]] | |||
| rowspan="2" | 7:6 | |||
|- | |||
|16 | |||
|[[3L 13s]] | |||
|- | |||
|17 | |||
|[[14L 3s]] | |||
| rowspan="3" |6:5 | |||
|- | |||
|18 | |||
|9L 9s | |||
|- | |||
|19 | |||
|4L 15s | |||
|- | |||
|20 | |||
| 19L 1s | |||
| rowspan="5" |5:4 | |||
|- | |||
|21 | |||
|15L 6s | |||
|- | |||
|22 | |||
|11L 11s | |||
|- | |||
|23 | |||
| 7L 16s | |||
|- | |||
|24 | |||
|3L 21s | |||
|- | |||
|25 | |||
|24L 1s | |||
| rowspan="8" |4:3 | |||
|- | |||
|26 | |||
|21L 5s | |||
|- | |||
|27 | |||
|18L 9s | |||
|- | |||
|28 | |||
|15L 13s | |||
|- | |||
| 29 | |||
|[[12L 17s]] | |||
|- | |||
|30 | |||
|9L 21s | |||
|- | |||
|31 | |||
|[[6L 25s]] | |||
|- | |||
| 32 | |||
|3L 29s | |||
|- | |||
|33 | |||
|[[33edo]] | |||
|equal | |||
|- | |||
|34 | |||
|31L 3s | |||
| rowspan="16" |3:2 | |||
|- | |||
|35 | |||
|29L 6s | |||
|- | |||
|36 | |||
|27L 9s | |||
|- | |||
|37 | |||
|25L 12s | |||
|- | |||
|38 | |||
|23L 15s | |||
|- | |||
|39 | |||
|21L 18s | |||
|- | |||
|40 | |||
|19L 21s | |||
|- | |||
|41 | |||
|17L 24s | |||
|- | |||
|42 | |||
|15L 27s | |||
|- | |||
|43 | |||
|13L 30s | |||
|- | |||
|44 | |||
|11L 33s | |||
|- | |||
|45 | |||
|9L 36s | |||
|- | |||
|46 | |||
|7L 39s | |||
|- | |||
|47 | |||
|5L 42s | |||
|- | |||
|48 | |||
|3L 45s | |||
|- | |||
|49 | |||
|1L 48s | |||
|- | |||
|50 | |||
|49L 1s | |||
| rowspan="30" |2:1 | |||
|- | |||
|51 | |||
|48L 3s | |||
|- | |||
|52 | |||
|47L 5s | |||
|- | |||
|53 | |||
|46L 7s | |||
|- | |||
|54 | |||
|45L 9s | |||
|- | |||
|55 | |||
|44L 11s | |||
|- | |||
|56 | |||
|43L 13s | |||
|- | |||
|57 | |||
|42L 15s | |||
|- | |||
|58 | |||
|41L 17s | |||
|- | |||
|59 | |||
|40L 19s | |||
|- | |||
|60 | |||
|39L 21s | |||
|- | |||
|61 | |||
|38L 23s | |||
|- | |||
|62 | |||
|37L 25s | |||
|- | |||
|63 | |||
|36L 27s | |||
|- | |||
|64 | |||
|35L 29s | |||
|- | |||
|65 | |||
|34L 31s | |||
|- | |||
|66 | |||
|33L 33s | |||
|- | |||
|67 | |||
|32L 35s | |||
|- | |||
|68 | |||
|31L 37s | |||
|- | |||
|69 | |||
|30L 39s | |||
|- | |||
|70 | |||
|29L 41s | |||
|- | |||
|71 | |||
|28L 43s | |||
|- | |||
|72 | |||
|27L 45s | |||
|- | |||
|73 | |||
|26L 47s | |||
|- | |||
|74 | |||
|25L 49s | |||
|- | |||
|75 | |||
|24L 51s | |||
|- | |||
|76 | |||
|23L 53s | |||
|- | |||
|77 | |||
|22L 55s | |||
|- | |||
|78 | |||
|21L 57s | |||
|- | |||
|79 | |||
|20L 59s | |||
|} | |||
==Music== | |||
*[http://www.archive.org/details/NonagintaEtNovem Nonaginta et Novem] ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/Nonaginta%20et%20Novem.mp3 play]'' by [[Gene Ward Smith]] | |||
*[http://micro.soonlabel.com/gene_ward_smith/transformers/benny.mp3 Benny] Smith-Palestrina in [[zeus7tri]] | |||
== See also == | ==See also== | ||
* [[157edt]] | *[[157edt]] | ||
* [[58edf]] | *[[58edf]] | ||
* [[87edo]], [[94edo]], [[111edo]], similarly sized edos all with consistency in higher harmonics. | *[[87edo]], [[94edo]], [[111edo]], similarly sized edos all with consistency in higher harmonics. | ||
* [[198edo]], the half-sized edo to reconcile the mappings of 11 and 13. | *[[198edo]], the half-sized edo to reconcile the mappings of 11 and 13. | ||
* [[105edo]], a similarly sized edo that supports meantone, septimal meantone, undecimal meantone and grosstone | *[[105edo]], a similarly sized edo that supports meantone, septimal meantone, undecimal meantone and grosstone | ||
[[Category:Theory]] | [[Category:Theory]] | ||