45edo: Difference between revisions

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The 45 equal temperament divides the octave into 45 equal parts of 26.667 [[cent|cent]]s. It is the [[Optimal_patent_val|optimal patent val]] for [[Meantone_family|flattone temperament]], the [[7-limit|7-limit]] 525/512 planar [[Avicennmic_temperaments|avicennmic]] temperament, the 11-limit [[Didymus_rank_three_family|calliope]] temperament tempering out [[45/44|45/44]] and [[81/80|81/80]], and the rank four temperament tempering out 45/44. It tempers out 81/80, 3125/3087, 525/512, 875/864 and 45/44. It is a flat-tending system in the 7-limit, with 3, 5 and 7 all flat, but the 11 is sharp. Also supports messed-up [[Ragismic_microtemperaments#Ennealimmal|ennealimmal]], if you want.
'''45edo''' divides the octave into 45 equal parts of 26.667 [[cent]]s. It is the [[optimal patent val]] for [[flattone]] temperament, the [[7-limit]] 525/512 planar [[Avicennmic_temperaments|avicennmic]] temperament, the 11-limit [[calliope]] temperament tempering out [[45/44]] and [[81/80]], and the rank four temperament tempering out 45/44. It tempers out 81/80, 3125/3087, 525/512, 875/864 and 45/44. It is a flat-tending system in the 7-limit, with 3, 5 and 7 all flat, but the 11 is sharp. Also supports messed-up [[ennealimmal]], if you want.
[[Category:edo]]
 
[[Category:theory]]
[[Category:Edo]]
[[Category:Theory]]

Revision as of 23:05, 28 October 2018

45edo divides the octave into 45 equal parts of 26.667 cents. It is the optimal patent val for flattone temperament, the 7-limit 525/512 planar avicennmic temperament, the 11-limit calliope temperament tempering out 45/44 and 81/80, and the rank four temperament tempering out 45/44. It tempers out 81/80, 3125/3087, 525/512, 875/864 and 45/44. It is a flat-tending system in the 7-limit, with 3, 5 and 7 all flat, but the 11 is sharp. Also supports messed-up ennealimmal, if you want.