106edo: Difference between revisions
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The division is notable for the fact that it is related to the [[turkish cent]], or türk sent, which divides 106edo into 100 parts just as ordinary cents divides 12edo into 100 parts, thereby making it the [[relative cent]] division for 106edo. Conversely, it makes the Pythagorean [[relative cent]] (or pion, symbol π<sup>¢</sup>, π<sup>r¢</sup>), which most closely approximates equally dividing an exact [[3/2]], if you care about such a thing. | The division is notable for the fact that it is related to the [[turkish cent]], or türk sent, which divides 106edo into 100 parts just as ordinary cents divides 12edo into 100 parts, thereby making it the [[relative cent]] division for 106edo. Conversely, it makes the Pythagorean [[relative cent]] (or pion, symbol π<sup>¢</sup>, π<sup>r¢</sup>), which most closely approximates equally dividing an exact [[3/2]], if you care about such a thing. | ||
* [[Dolores Catherino]] -- [http://dolorescatherino.com her website], [https://www.youtube.com/user/dolomuse YouTube profile: dolomuse] | Since 106edo has a step of 11.321 cents, it also allows one to use its MOS scales as circulating temperaments. | ||
* [http://chrisvaisvil.com/still-life-in-106-notes-per-octave/ Still Life in 106 Notes Per Octave « Music & Techniques by Chris Vaisvil] | {| class="wikitable" | ||
|+Circulating temperaments in 106edo | |||
!Tones | |||
!Pattern | |||
!L:s | |||
|- | |||
|5 | |||
|[[1L 4s]] | |||
|22:21 | |||
|- | |||
|6 | |||
|[[4L 2s]] | |||
|18:17 | |||
|- | |||
|7 | |||
|[[1L 6s]] | |||
|16:15 | |||
|- | |||
|8 | |||
|[[2L 6s]] | |||
| 14:13 | |||
|- | |||
|9 | |||
|[[7L 2s]] | |||
|12:11 | |||
|- | |||
|10 | |||
|[[6L 4s]] | |||
| 11:10 | |||
|- | |||
|11 | |||
|[[7L 4s]] | |||
|10:9 | |||
|- | |||
|12 | |||
|[[10L 2s]] | |||
|9:8 | |||
|- | |||
|13 | |||
|[[2L 11s]] | |||
| rowspan="3" |8:7 | |||
|- | |||
|14 | |||
|[[8L 6s]] | |||
|- | |||
|15 | |||
|[[1L 14s]] | |||
|- | |||
|16 | |||
|[[10L 6s]] | |||
| rowspan="2" |7:6 | |||
|- | |||
|17 | |||
|4L 13s | |||
|- | |||
|18 | |||
|16L 2s | |||
| rowspan="4" |6:5 | |||
|- | |||
|19 | |||
|[[11L 8s]] | |||
|- | |||
|20 | |||
|6L 14s | |||
|- | |||
|21 | |||
|1L 20s | |||
|- | |||
|22 | |||
|18L 4s | |||
| rowspan="5" |5:4 | |||
|- | |||
|23 | |||
|14L 9s | |||
|- | |||
|24 | |||
|10L 14s | |||
|- | |||
|25 | |||
|[[6L 19s]] | |||
|- | |||
|26 | |||
|2L 24s | |||
|- | |||
|27 | |||
|25L 2s | |||
| rowspan="9" |4:3 | |||
|- | |||
|28 | |||
|22L 6s | |||
|- | |||
|29 | |||
|19L 10s | |||
|- | |||
|30 | |||
|16L 14s | |||
|- | |||
|31 | |||
|13L 18s | |||
|- | |||
|32 | |||
|10L 22s | |||
|- | |||
|33 | |||
|7L 26s | |||
|- | |||
|34 | |||
|4L 30s | |||
|- | |||
|35 | |||
|1L 34s | |||
|- | |||
|36 | |||
|34L 2s | |||
| rowspan="17" |3:2 | |||
|- | |||
|37 | |||
|32L 5s | |||
|- | |||
|38 | |||
|30L 8s | |||
|- | |||
|39 | |||
|28L 11s | |||
|- | |||
|40 | |||
|26L 14s | |||
|- | |||
|41 | |||
|24L 17s | |||
|- | |||
|42 | |||
|22L 20s | |||
|- | |||
|43 | |||
|20L 23s | |||
|- | |||
|44 | |||
|18L 26s | |||
|- | |||
|45 | |||
|16L 29s | |||
|- | |||
|46 | |||
|14L 32s | |||
|- | |||
|47 | |||
|12L 35s | |||
|- | |||
|48 | |||
|10L 38s | |||
|- | |||
|49 | |||
|8L 41s | |||
|- | |||
|50 | |||
|6L 44s | |||
|- | |||
|51 | |||
|4L 47s | |||
|- | |||
|52 | |||
|2L 50s | |||
|- | |||
|53 | |||
|[[53edo]] | |||
|equal | |||
|- | |||
|54 | |||
|52L 2s | |||
| rowspan="32" |2:1 | |||
|- | |||
|55 | |||
|51L 4s | |||
|- | |||
|56 | |||
|50L 6s | |||
|- | |||
|57 | |||
|49L 8s | |||
|- | |||
|58 | |||
|48L 10s | |||
|- | |||
|59 | |||
|47L 12s | |||
|- | |||
|60 | |||
|46L 14s | |||
|- | |||
|61 | |||
|45L 16s | |||
|- | |||
|62 | |||
|44L 18s | |||
|- | |||
|63 | |||
|43L 20s | |||
|- | |||
|64 | |||
|42L 22s | |||
|- | |||
|65 | |||
|41L 24s | |||
|- | |||
|66 | |||
|40L 26s | |||
|- | |||
|67 | |||
|39L 28s | |||
|- | |||
|68 | |||
|38L 30s | |||
|- | |||
|69 | |||
|37L 32s | |||
|- | |||
|70 | |||
|36L 34s | |||
|- | |||
|71 | |||
|35L 36s | |||
|- | |||
|72 | |||
|34L 38s | |||
|- | |||
|73 | |||
|33L 40s | |||
|- | |||
|74 | |||
|32L 42s | |||
|- | |||
|75 | |||
|31L 44s | |||
|- | |||
|76 | |||
|30L 46s | |||
|- | |||
|77 | |||
|29L 48s | |||
|- | |||
|78 | |||
|28L 50s | |||
|- | |||
|79 | |||
|27L 52s | |||
|- | |||
|80 | |||
|26L 54s | |||
|- | |||
|81 | |||
|25L 56s | |||
|- | |||
|82 | |||
|24L 58s | |||
|- | |||
|83 | |||
|23L 60s | |||
|- | |||
|84 | |||
|22L 62s | |||
|- | |||
|85 | |||
|21L 64s | |||
|}Artists using 106 et: | |||
*[[Dolores Catherino]] -- [http://dolorescatherino.com her website], [https://www.youtube.com/user/dolomuse YouTube profile: dolomuse] | |||
*[http://chrisvaisvil.com/still-life-in-106-notes-per-octave/ Still Life in 106 Notes Per Octave « Music & Techniques by Chris Vaisvil] | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
[[Category:53edo]] | [[Category:53edo]] | ||
[[Category:Polychromatic]] | [[Category:Polychromatic]] | ||