292edo: Difference between revisions
Jump to navigation
Jump to search
m Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot |
More notable facts |
||
| Line 1: | Line 1: | ||
'''292edo''' is the [[EDO|equal division of the octave]] into 292 parts of 4.1095 | The '''292 equal divisions of the octave''' ('''292edo''') is the [[EDO|equal division of the octave]] into 292 parts of 4.1095 [[cent]]s each. | ||
292edo is closely related to [[146edo]], but the patent vals differ on the mapping for 3. It tempers out | 292edo is closely related to [[146edo]], but the patent vals differ on the mapping for 3. It tempers out {{monzo| 3 -18 11 }} (quartonic comma) and {{monzo| 38 -2 -15 }} (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 provides the [[optimal patent val]] for the [[undim]] temperament in the 7-, 11-, and 13-limit, and notably supports [[Hemifamity temperaments #Semiseptiquarter|semiseptiquarter]] and [[Luna family #Semiluna|semiluna]]. | ||
[[Category:Theory]] | [[Category:Theory]] | ||
| Line 10: | Line 10: | ||
[[Category:Septiquarter]] | [[Category:Septiquarter]] | ||
[[Category:Semiluna]] | [[Category:Semiluna]] | ||
[[Category: | [[Category:Undim]] | ||
Revision as of 21:28, 11 December 2021
The 292 equal divisions of the octave (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 [3 -18 11⟩ (quartonic comma) and [38 -2 -15⟩ (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 provides the optimal patent val for the undim temperament in the 7-, 11-, and 13-limit, and notably supports semiseptiquarter and semiluna.