343edo: Difference between revisions

BudjarnLambeth (talk | contribs)
Frost[23]: explain naming
BudjarnLambeth (talk | contribs)
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''Scales listed below are rotated to modes with lots of consonances.''
''Scales listed below are rotated to modes with lots of consonances.''


=== MOS scales ===
==== Frost[23] ====
* Amity[7]: 52 52 45 52 45 52 45
* Amity[11]: 45 7 45 45 7 45 7 45 45 7 42
* Amity[18]: 7 38 7 38 7 7 38 7 7 38 7 38 7 7 38 7 38 7
* Amity[25]: 7 31 7 7 7 31 7 7 31 7 7 7 31 7 7 7 31 7 7 31 7 7 7 31 7
* Amity[32]: 7 7 24 7 7 7 24 7 7 7 7 24 7 7 7 24 7 7 7 7 24 7 7 7 24 7 7 7 7 24 7 7
* Amity[39]: 7 7 17 7 7 7 7 7 17 7 7 7 7 17 7 7 7 7 7 17 7 7 7 7 7 17 7 7 7 7 17 7 7 7 7 7 17 7 7
* Amity[53]: 7 7 7 3 7 7 7 7 7 7 7 3 7 7 7 7 7 7 3 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 3 7 7 7 7 7 7 3 7 7 7 7 7 7 7 3 7 7 7
* Amity[99]: 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3
 
==== ''Frost[23]'' ====
A 23-tone [[MOS scale]] discovered by [[Gordon Wery]] in October 2025:
A 23-tone [[MOS scale]] discovered by [[Gordon Wery]] in October 2025:
* 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13
* 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13
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* It is close to [[ripple]][23], but turned inside out, so just as ice is water in an altered state, frost is ripple in an altered state
* It is close to [[ripple]][23], but turned inside out, so just as ice is water in an altered state, frost is ripple in an altered state


=== Scales approximated from JI ===
=== Other MOS scales ===
* [[4 of 7-17-19-21-51 pentany]]: 96 50 55 96 46 (sounds like minor pentatonic)
* Amity[7]: 52 52 45 52 45 52 45
* [[4 of 7-17-19-21-51 by 3/2 tetrapentany]]: 3 9 46 4 34 21 29 8 47 3 9 46 38 46
* Amity[11]: 45 7 45 45 7 45 7 45 45 7 42
* [[7-17-19-21 hexany]]: 50 46 50 55 87 55 (sounds like minor hexatonic)
* Amity[18]: 7 38 7 38 7 7 38 7 7 38 7 38 7 7 38 7 38 7
* [[7-17-19-21 by 3/2 trihexany]]: 3 47 8 38 12 38 8 47 3 46 9 29 9 46
* Amity[25]: 7 31 7 7 7 31 7 7 31 7 7 7 31 7 7 7 31 7 7 31 7 7 7 31 7
* [[9afdo]]: 40 37 34 32 30 28 52 47 43
* Amity[32]: 7 7 24 7 7 7 24 7 7 7 7 24 7 7 7 24 7 7 7 7 24 7 7 7 24 7 7 7 7 24 7 7
* [[18afdo]]: 21 19 19 18 17 17 16 16 15 15 14 14 27 25 24 23 22 21
* Amity[39]: 7 7 17 7 7 7 7 7 17 7 7 7 7 17 7 7 7 7 7 17 7 7 7 7 7 17 7 7 7 7 17 7 7 7 7 7 17 7 7
* [[36afdo]]: 11 10 9 10 9 10 9 9 8 9 8 9 8 8 8 8 7 8 7 8 7 7 7 7 14 13 13 12 12 12 12 11 11 11 11 10
* Amity[53]: 7 7 7 3 7 7 7 7 7 7 7 3 7 7 7 7 7 7 3 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 3 7 7 7 7 7 7 3 7 7 7 7 7 7 7 3 7 7 7
* [[72afdo]]: 5 6 5 5 4 5 5 5 5 4 5 5 4 5 4 5 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 3 4 4 3 4 3 4 3 7 7 6 7 6 7 6 6 6 6 6 6 6 6 6 5 6 5 6 5 6 5 5 5
* Amity[99]: 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3
* Frost[23]: 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13
* Frost[34]: 13 4 13 13 4 13 13 4 13 13 4 13 13 13 4 13 13 4 13 13 4 13 13 4 13 13 4 13 13 4 13 13 4 13


=== 343ed16 ===
=== 343ed16 ===
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{{Harmonics in equal|343|16|1|intervals=integer|columns=12}}
{{Harmonics in equal|343|16|1|intervals=integer|columns=12}}
{{Harmonics in equal|86|2|1|intervals=integer|columns=12|collapsed=1|title=86edo for comparison}}
{{Harmonics in equal|86|2|1|intervals=integer|columns=12|collapsed=1|title=86edo for comparison}}
=== Scales approximated from JI ===
* [[4 of 7-17-19-21-51 pentany]]: 96 50 55 96 46 (sounds like minor pentatonic)
* [[4 of 7-17-19-21-51 by 3/2 tetrapentany]]: 3 9 46 4 34 21 29 8 47 3 9 46 38 46
* [[7-17-19-21 hexany]]: 50 46 50 55 87 55 (sounds like minor hexatonic)
* [[7-17-19-21 by 3/2 trihexany]]: 3 47 8 38 12 38 8 47 3 46 9 29 9 46
* [[9afdo]]: 40 37 34 32 30 28 52 47 43
* [[18afdo]]: 21 19 19 18 17 17 16 16 15 15 14 14 27 25 24 23 22 21
* [[36afdo]]: 11 10 9 10 9 10 9 9 8 9 8 9 8 8 8 8 7 8 7 8 7 7 7 7 14 13 13 12 12 12 12 11 11 11 11 10
* [[72afdo]]: 5 6 5 5 4 5 5 5 5 4 5 5 4 5 4 5 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 3 4 4 3 4 3 4 3 7 7 6 7 6 7 6 6 6 6 6 6 6 6 6 5 6 5 6 5 6 5 5 5


=== Other scales ===
=== Other scales ===
* [[Equiheptatonic]] (as from [[7edo]]): 49 49 49 49 49 49 49
* [[Equiheptatonic]] (as from [[7edo]]): 49 49 49 49 49 49 49
* [[49edo]]: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
* [[49edo]]: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7