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. It 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 (hemithirds comma) in the 5-limit; 5120/5103, 390625/388962, and 420175/419904 in the 7-limit; 1375/1372, 5632/5625, 6250/6237, and 14641/14580 in the 11-limit. It supports the [[Hemifamity temperaments|septiquarter temperament]] and [[Dimcomp family|dimcomp rank three temperament]].

'''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:Hemifamity]]

[[Category:Septiquarter]]

[[Category:Semiluna]]

[[Category:Canou]]

[[Category:Semicanousmic]]

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-'''292edo''' is the [[EDO|equal division of the octave]] into 292 parts of 4.1095 cents each. It 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 (hemithirds comma) in the 5-limit; 5120/5103, 390625/388962, and 420175/419904 in the 7-limit; 1375/1372, 5632/5625, 6250/6237, and 14641/14580 in the 11-limit. It supports the [[Hemifamity temperaments|septiquarter temperament]] and [[Dimcomp family|dimcomp rank three temperament]].
+'''292edo''' is the [[EDO|equal division of the octave]] into 292 parts of 4.1095 cents each.
+edo 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:Hemifamity]]
+[[Category:Septiquarter]]
+[[Category:Semiluna]]
+[[Category:Canou]]
+[[Category:Semicanousmic]]