80edo: Difference between revisions

→Regular temperament properties: - edo joins. Most of them have been named. Fix leapfrog generator
→Scales: leapday -> leadfrog
Line 769: Line 769:
* [[Echidna]][22]: 4 3 4 4 3 3 3 4 4 3 4 4 3 4 4 3 4 3 4 4 3 4
* [[Echidna]][22]: 4 3 4 4 3 3 3 4 4 3 4 4 3 4 4 3 4 3 4 4 3 4
* Echidna[36]: 3 1 3 1 3 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 3 1 3 1 3 3 1 3 1 3
* Echidna[36]: 3 1 3 1 3 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 3 1 3 1 3 3 1 3 1 3
* [[Leapday]][46] ^: 1 3 1 1 3 1 3 1 1 3 1 1 3 1 3 1 1 3 1 1 3 1 1 3 1 3 1 1 3 1 1 3 1 3 1 1 3 1 1 3 1 3 1 1 3 1
* [[Leapfrog]][12]: 5 9 5 9 5 5 9 5 9 5 9 5
* [[Leapfrog]][12]: 5 9 5 9 5 5 9 5 9 5 9 5
* Leapfrog[17]: 5 4 5 5 5 4 5 5 4 5 5 4 5 5 5 4 5
* Leapfrog[17]: 5 4 5 5 5 4 5 5 4 5 5 4 5 5 5 4 5
* Leapfrog[29]: 4 1 4 1 4 4 1 4 1 4 1 4 4 1 4 1 4 4 1 4 1 4 1 4 4 1 4 1 4
* Leapfrog[29]: 4 1 4 1 4 4 1 4 1 4 1 4 4 1 4 1 4 4 1 4 1 4 1 4 4 1 4 1 4
* Leapfrog[46] : 1 3 1 1 3 1 3 1 1 3 1 1 3 1 3 1 1 3 1 1 3 1 1 3 1 3 1 1 3 1 1 3 1 3 1 1 3 1 1 3 1 3 1 1 3 1
* [[Octopus]][40]: 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1
* [[Octopus]][40]: 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1
* [[Parakleismic]][23]: 4 4 1 4 4 4 4 4 1 4 4 4 4 4 1 4 4 4 4 4 1 4 4
* [[Parakleismic]][23]: 4 4 1 4 4 4 4 4 1 4 4 4 4 4 1 4 4 4 4 4 1 4 4
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* Trisedodge[20]: 5 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5
* Trisedodge[20]: 5 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5 5 1 5 5
* Trisedodge[35]: 1 4 1 4 1 4 1 1 4 1 4 1 4 1 1 4 1 4 1 4 1 1 4 1 4 1 4 1 1 4 1 4 1 4 1
* Trisedodge[35]: 1 4 1 4 1 4 1 1 4 1 4 1 4 1 1 4 1 4 1 4 1 1 4 1 4 1 4 1 1 4 1 4 1 4 1
^ ''Leapday and leapfrog map to the same scale, but leapday has higher complexity (ie requires more notes to reach all its most important intervals).''


; [[Polymicrotonal]] scales
; [[Polymicrotonal]] scales
Line 794: Line 792:
* 12-tone 8&10edo scale: 10 6 4 4 8 8 8 8 4 4 6 10
* 12-tone 8&10edo scale: 10 6 4 4 8 8 8 8 4 4 6 10
* 12-tone 8&20edo scale: 4 6 10 4 8 8 8 8 4 10 6 4
* 12-tone 8&20edo scale: 4 6 10 4 8 8 8 8 4 10 6 4


; [[Combination product set]]s
; [[Combination product set]]s
Line 808: Line 805:
* 26 7 14 12 21 (''sounds sparkly and delicate'')
* 26 7 14 12 21 (''sounds sparkly and delicate'')
* 22 11 14 23 10  (''closely resembles [[6afdo#scales|geode]]{{idio}} subset of [[6afdo]]'')
* 22 11 14 23 10  (''closely resembles [[6afdo#scales|geode]]{{idio}} subset of [[6afdo]]'')


11-tone CPS ''(10-of-1,3,5,9,11,15,19,25,27,29,33)''
11-tone CPS ''(10-of-1,3,5,9,11,15,19,25,27,29,33)''
* 10 11 6 6 10 4 7 4 8 9 5
* 10 11 6 6 10 4 7 4 8 9 5


12-tone CPS ''(1-of-3,5,9,11,15,19,25,27,29,33,37,41)''
12-tone CPS ''(1-of-3,5,9,11,15,19,25,27,29,33,37,41)''
* 3 3 6 3 8 10 5 9 8 4 11 10
* 3 3 6 3 8 10 5 9 8 4 11 10


12-tone CPS ''(11-of-3,5,9,11,15,19,25,27,29,33,37,41)''
12-tone CPS ''(11-of-3,5,9,11,15,19,25,27,29,33,37,41)''
* 10 11 4 8 9 5 10 8 3 6 3 3
* 10 11 4 8 9 5 10 8 3 6 3 3


15-tone CPS ''(1-of-1,3,5,9,11,15,19,25,27,29,33,37,41,55,57)''
15-tone CPS ''(1-of-1,3,5,9,11,15,19,25,27,29,33,37,41,55,57)''
* 5 9 2 4 2 4 7 4 10 3 3 6 3 8 10
* 5 9 2 4 2 4 7 4 10 3 3 6 3 8 10


15-tone CPS ''(14-of-1,3,5,9,11,15,19,25,27,29,33,37,41,55,57)''
15-tone CPS ''(14-of-1,3,5,9,11,15,19,25,27,29,33,37,41,55,57)''
* 10 8 3 6 3 3 10 4 7 4 2 4 2 9 5
* 10 8 3 6 3 3 10 4 7 4 2 4 2 9 5


13-tone degen. [[eikosany]] ''(1,3,5,9,15,25)''
13-tone degen. [[eikosany]] ''(1,3,5,9,15,25)''
* 5 2 5 9 5 7 14 7 5 9 5 2 5
* 5 2 5 9 5 7 14 7 5 9 5 2 5


14-tone degen. eikosany ''(3,5,9,15,25,27)''
14-tone degen. eikosany ''(3,5,9,15,25,27)''
* 9 3 2 7 5 7 2 3 9 7 5 9 5 7
* 9 3 2 7 5 7 2 3 9 7 5 9 5 7


16-tone degen. eikosany ''(1,3,5,9,11,15)''
16-tone degen. eikosany ''(1,3,5,9,11,15)''
* 4 7 3 2 5 2 3 7 4 7 3 11 1 11 3 7
* 4 7 3 2 5 2 3 7 4 7 3 11 1 11 3 7


18-tone degen. eikosany ''(3,5,9,11,15,19)''
18-tone degen. eikosany ''(3,5,9,11,15,19)''
* 4 2 4 6 5 6 3 3 3 6 5 6 4 2 4 6 5 6
* 4 2 4 6 5 6 3 3 3 6 5 6 4 2 4 6 5 6


; Other scales
; Other scales