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 temperaments ==~~

The equal temperament [[tempering out|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.

~~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]] [[~~Porwell temperaments|icositritonic~~]] temperament ~~(46&161, named by~~ [[~~User:Xenllium|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo~~]], and the ~~368ci val~~.

368edo [[support]]s the 11-limit [[octoid]] temperament. The alternative 368f [[val]] supports the 13-limit octoid, and 368fff val supports the octopus temperament.

~~==Related scales==~~

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

~~Icositritonic scales~~

*[[~~Icositritonic69~~]]

*[[~~Icositritonic115~~]]

*[[~~Icositritonic161~~]]

*[[~~Icositritonic207~~]]

~~[[Category:Equal divisions of the octave]]~~

=== Odd harmonics ===

=== Subsets and supersets ===

Since 368 factors into {{factorization|368}}, 368edo has subset edos {{EDOs| 2, 4, 8, 16, 23, 46, 92, and 184 }}.

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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.
+{{Infobox ET}}
+{{ED intro}}
-== Related regular temperaments ==
+The equal temperament [[tempering out|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.
-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]] [[Porwell temperaments|icositritonic]] temperament (46&amp;161, named by [[User:Xenllium|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.
+edo [[support]]s the 11-limit [[octoid]] temperament. The alternative 368f [[val]] supports the 13-limit octoid, and 368fff val supports the octopus temperament.
-==Related scales==
+edo is very nearly the POTE tuning of [[23-limit]] [[Porwell temperaments|icositritonic]] temperament ({{nowrap|46 &amp; 161}}, named by [[User:Xenllium|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.
-Icositritonic scales
-*[[Icositritonic69]]
-*[[Icositritonic115]]
-*[[Icositritonic161]]
-*[[Icositritonic207]]
-[[Category:Equal divisions of the octave]]
+=== Odd harmonics ===
+{{Harmonics in equal|368}}
+=== Subsets and supersets ===
+Since 368 factors into {{factorization|368}}, 368edo has subset edos {{EDOs| 2, 4, 8, 16, 23, 46, 92, and 184 }}.