368edo: Difference between revisions

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'''368edo''' is the [[EDO|equal division of the octave]] into 368 parts of 3.26087 [[cent]]s each. It tempers out 1220703125/1207959552 (ditonma) and 205891132094649/204800000000000 in the 5-limit; 4375/4374, 16875/16807, and 33756345/33554432 in the 7-limit. Using the patent val, it tempers out 540/539, 1375/1372, and 4000/3993 in the 11-limit; 2205/2197, 4225/4224, and 10648/10647 in the 13-limit.

==Related regular ~~tempemraments~~==

==Related regular temperaments==

368edo supports the 11-limit [[Ragismic microtemperaments|octoid ~~tempemrament~~]]. Alternative 368f val supports the 13-limit octoid, and 368fff val supports the octopus ~~tempemrament~~.

368edo supports the 11-limit [[Ragismic microtemperaments|octoid temperament]]. Alternative 368f val supports the 13-limit octoid, and 368fff val supports the octopus temperament.

368edo is very nearly the POTE tuning of [[23-limit]] 46&161 ~~tempemrament~~ (''Icositritonic'' ~~tempemrament~~, named by [[User:Xenllium|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.

368edo is very nearly the POTE tuning of [[23-limit]] 46&161 temperament (''Icositritonic'' temperament, named by [[User:Xenllium|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.

===Icositritonic ~~tempemrament~~ (46 & 161)===

===Icositritonic temperament (46 & 161)===

'''7-limit'''

Commas: 6144/6125, 9920232/9765625

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 '''368edo''' is the [[EDO|equal division of the octave]] into 368 parts of 3.26087 [[cent]]s each. It tempers out 1220703125/1207959552 (ditonma) and 205891132094649/204800000000000 in the 5-limit; 4375/4374, 16875/16807, and 33756345/33554432 in the 7-limit. Using the patent val, it tempers out 540/539, 1375/1372, and 4000/3993 in the 11-limit; 2205/2197, 4225/4224, and 10648/10647 in the 13-limit.
-==Related regular tempemraments==
+==Related regular temperaments==
-edo supports the 11-limit [[Ragismic microtemperaments|octoid tempemrament]]. Alternative 368f val supports the 13-limit octoid, and 368fff val supports the octopus tempemrament.
+edo supports the 11-limit [[Ragismic microtemperaments|octoid temperament]]. Alternative 368f val supports the 13-limit octoid, and 368fff val supports the octopus temperament.
-edo is very nearly the POTE tuning of [[23-limit]] 46&amp;161 tempemrament (''Icositritonic'' tempemrament, named by [[User:Xenllium|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.
+edo is very nearly the POTE tuning of [[23-limit]] 46&amp;161 temperament (''Icositritonic'' temperament, named by [[User:Xenllium|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.
-===Icositritonic tempemrament (46 &amp; 161)===
+===Icositritonic temperament (46 &amp; 161)===
 '''<font style="font-size: 1.2em">7-limit</font>'''<br>
 Commas: 6144/6125, 9920232/9765625<br><br>