472edo: Difference between revisions

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'''472edo''' is the [[EDO|equal division of the octave]] into 472 parts of 2.54237 ~~cents~~ each. It is consistent to the 11-limit, tempering out ~~32805/32768 (~~schisma) and ~~1224440064/1220703125 (~~parakleisma~~) in~~ the 5-limit; 2401/2400, 2460375/2458624, and 30623756184/30517578125 in the 7-limit; 9801/9800, 46656/46585, 117649/117612, and 234375/234256 ~~in the 11-limit~~, [[~~support~~|supporting]] the [[Breedsmic temperaments|maviloid ~~temperament~~]], the [[Schismatic family|bisesqui temperament]], and the [[Schismatic family|octant temperament]]. Using the patent val, it tempers out 729/728, 1575/1573, 2200/2197, 4096/4095, and 21168/21125 in the 13-limit, so it also supports the 13-limit octant.

'''472edo''' is the [[EDO|equal division of the octave]] into 472 parts of 2.54237 [[cent]]s each.

472edo is [[consistent]] to the [[11-odd-limit]]. It is [[Enfactoring|enfactored]] in the 5-limit, with the same tuning as 118edo, defined by tempering out the [[schisma]] and the [[parakleisma]]. In the 7-limit, it tempers out [[2401/2400]], 2460375/2458624, and 30623756184/30517578125; in the 11-limit, [[9801/9800]], 46656/46585, 117649/117612, and 234375/234256 , [[Support|supporting]] the [[Breedsmic temperaments #Maviloid|maviloid]] temperament, the [[Schismatic family #Bisesqui|bisesqui temperament]], and the [[Schismatic family #Octant|octant temperament]]. Using the [[patent val]], it tempers out [[729/728]], [[1575/1573]], [[2200/2197]], [[4096/4095]], and 21168/21125 in the 13-limit, so it also supports the 13-limit octant.

It is a [[zeta peak integer edo]].

=== Prime harmonics ===

[[Category:Equal divisions of the octave]]

[[Category:Zeta]]

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-'''472edo''' is the [[EDO|equal division of the octave]] into 472 parts of 2.54237 cents each. It is consistent to the 11-limit, tempering out 32805/32768 (schisma) and 1224440064/1220703125 (parakleisma) in the 5-limit; 2401/2400, 2460375/2458624, and 30623756184/30517578125 in the 7-limit; 9801/9800, 46656/46585, 117649/117612, and 234375/234256 in the 11-limit, [[support|supporting]] the [[Breedsmic temperaments|maviloid temperament]], the [[Schismatic family|bisesqui temperament]], and the [[Schismatic family|octant temperament]]. Using the patent val, it tempers out 729/728, 1575/1573, 2200/2197, 4096/4095, and 21168/21125 in the 13-limit, so it also supports the 13-limit octant.
+'''472edo''' is the [[EDO|equal division of the octave]] into 472 parts of 2.54237 [[cent]]s each.
+edo is [[consistent]] to the [[11-odd-limit]]. It is [[Enfactoring|enfactored]] in the 5-limit, with the same tuning as 118edo, defined by tempering out the [[schisma]] and the [[parakleisma]]. In the 7-limit, it tempers out [[2401/2400]], 2460375/2458624, and 30623756184/30517578125; in the 11-limit, [[9801/9800]], 46656/46585, 117649/117612, and 234375/234256 , [[Support|supporting]] the [[Breedsmic temperaments #Maviloid|maviloid]] temperament, the [[Schismatic family #Bisesqui|bisesqui temperament]], and the [[Schismatic family #Octant|octant temperament]]. Using the [[patent val]], it tempers out [[729/728]], [[1575/1573]], [[2200/2197]], [[4096/4095]], and 21168/21125 in the 13-limit, so it also supports the 13-limit octant.
 It is a [[zeta peak integer edo]].
-{{Primes in edo|472|prec=3}}
+=== Prime harmonics ===
+{{Harmonics in equal|472}}
 [[Category:Equal divisions of the octave]]
 [[Category:Zeta]]