292edo: Difference between revisions
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'''292edo''' is the [[EDO|equal division of the octave]] into 292 parts of 4.1095 cents each | '''292edo''' is the [[EDO|equal division of the octave]] into 292 parts of 4.1095 cents each. | ||
292edo is closely related to [[146edo]], but the patent vals differ on the mapping for 3. It tempers out 390625000/387420489 (quartonic comma) and 274877906944/274658203125 (luna/hemithirds comma) in the [[5-limit]]; 5120/5103 ([[5120/5103|hemifamity]]), 390625/388962 ([[dimcomp comma|dimcomp]]), 420175/419904 (wizma), and 4802000/4782969 ([[canousma]]) in the [[7-limit]]; 1375/1372, 5632/5625, 6250/6237, 9801/9800 and [[14641/14580]] in the [[11-limit]]; [[352/351]], 625/624, 847/845, 1716/1715, and 2080/2079 in the [[13-limit]]. | |||
It notably supports [[Hemifamity temperaments #Semiseptiquarter|semiseptiquarter]] and [[Luna family #Semiluna|semiluna]]. It also provides a nice tuning for the rank-3 [[Dimcomp family|dimcomp]] and [[Canou family #Semicanou|semicanou]]. | |||
[[Category:Theory]] | |||
[[Category:Edo]] | [[Category:Edo]] | ||
[[Category:Hemifamity]] | |||
[[Category:Septiquarter]] | |||
[[Category:Semiluna]] | |||
[[Category:Canou]] | |||
[[Category:Semicanousmic]] | |||
Revision as of 13:44, 16 October 2020
292edo is the equal division of the octave into 292 parts of 4.1095 cents each.
292edo is closely related to 146edo, but the patent vals differ on the mapping for 3. It tempers out 390625000/387420489 (quartonic comma) and 274877906944/274658203125 (luna/hemithirds comma) in the 5-limit; 5120/5103 (hemifamity), 390625/388962 (dimcomp), 420175/419904 (wizma), and 4802000/4782969 (canousma) in the 7-limit; 1375/1372, 5632/5625, 6250/6237, 9801/9800 and 14641/14580 in the 11-limit; 352/351, 625/624, 847/845, 1716/1715, and 2080/2079 in the 13-limit.
It notably supports semiseptiquarter and semiluna. It also provides a nice tuning for the rank-3 dimcomp and semicanou.