185edo: Difference between revisions

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'''185edo''' is the [[EDO|equal division of the octave]] into 185 parts of 6.4865 [[cent]]s each. It [[tempering out|tempers out]] the [[comma]]s 126/125, 1029/1024, 6144/6125 and 243/242, making it useful for various purposes. It is an excellent tuning for [[Starling family|starling temperament]], the [[7-limit]] [[Planar Temperament|planar temperament]] tempering out 126/125; [[Starling family#Valentine temperament|valentine temperament]], which also tempers out 1029/1024; and the rank three 89&154&185 temperament tempering out 126/125 and 243/242. With 185cff, the val <185 293 429 519 640 686|, it makes for a first-class tuning of the 13-limit [[Gamelismic clan#Miracle-Miraculous|miraculous temperament]].
'''185edo''' is the [[EDO|equal division of the octave]] into 185 parts of 6.4865 [[cent]]s each. It [[tempering out|tempers out]] the [[comma]]s 126/125, 1029/1024, 6144/6125 and 243/242, making it useful for various purposes. It is an excellent tuning for [[Starling family|starling temperament]], the [[7-limit]] [[Planar Temperament|planar temperament]] tempering out 126/125; [[Starling family#Valentine temperament|valentine temperament]], which also tempers out 1029/1024; and the rank three 89&154&185 temperament tempering out 126/125 and 243/242. With 185cff, the val <185 293 429 519 640 686|, it makes for a first-class tuning of the 13-limit [[Gamelismic clan#Miracle-Miraculous|miraculous temperament]].



Revision as of 21:15, 4 October 2022

← 184edo 185edo 186edo →
Prime factorization 5 × 37
Step size 6.48649 ¢ 
Fifth 108\185 (700.541 ¢)
Semitones (A1:m2) 16:15 (103.8 ¢ : 97.3 ¢)
Consistency limit 3
Distinct consistency limit 3

185edo is the equal division of the octave into 185 parts of 6.4865 cents each. It tempers out the commas 126/125, 1029/1024, 6144/6125 and 243/242, making it useful for various purposes. It is an excellent tuning for starling temperament, the 7-limit planar temperament tempering out 126/125; valentine temperament, which also tempers out 1029/1024; and the rank three 89&154&185 temperament tempering out 126/125 and 243/242. With 185cff, the val <185 293 429 519 640 686|, it makes for a first-class tuning of the 13-limit miraculous temperament.

Scales