89edo: Difference between revisions
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89edo divides the octave into 89 steps of size 13.48 | '''89edo''' divides the octave into 89 steps of size 13.48 [[cent]]s each, and [[tempering out|tempers out]] the commas [[126/125]], [[1728/1715]], [[32805/32768]], [[2401/2400]], [[176/175]], [[243/242]], [[441/440]] and [[540/539]]. It is an especially good tuning for [[Starling temperaments|myna temperament]], both in the [[7-limit]], tempering out 126/125 and 1728/1715, and in the [[11-limit]], where 176/175 is tempered out also. It is likewise a good tuning for the rank three temperament thrush, tempering out 126/125 and 176/175. | ||
89 has a fifth less than a cent flat and a major third less than five cents sharp, with a 7 two cents sharp and an 11 1.5 cents sharp. It thus delivers reasonably good 11-limit harmony and very good no-fives harmony along with the very useful approximations represented by its commas. | 89 has a fifth less than a cent flat and a major third less than five cents sharp, with a 7 two cents sharp and an 11 1.5 cents sharp. It thus delivers reasonably good 11-limit harmony and very good no-fives harmony along with the very useful approximations represented by its commas. | ||
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89edo is the 24th [[prime_numbers|prime]] edo. | 89edo is the 24th [[prime_numbers|prime]] edo. | ||
=Scales= | == Scales == | ||
[[myna7 | * [[myna7]] | ||
* [[myna11]] | |||
* [[myna15]] | |||
[[ | [[Category:Edo]] | ||
[[Category:Prime edo]] | |||
[[ | [[Category:Myna]] | ||
[[Category:89edo]] | [[Category:89edo]] | ||
[[Category: | [[Category:Thrush]] | ||
Revision as of 15:09, 28 October 2018
89edo divides the octave into 89 steps of size 13.48 cents each, and tempers out the commas 126/125, 1728/1715, 32805/32768, 2401/2400, 176/175, 243/242, 441/440 and 540/539. It is an especially good tuning for myna temperament, both in the 7-limit, tempering out 126/125 and 1728/1715, and in the 11-limit, where 176/175 is tempered out also. It is likewise a good tuning for the rank three temperament thrush, tempering out 126/125 and 176/175.
89 has a fifth less than a cent flat and a major third less than five cents sharp, with a 7 two cents sharp and an 11 1.5 cents sharp. It thus delivers reasonably good 11-limit harmony and very good no-fives harmony along with the very useful approximations represented by its commas.
89edo is the 24th prime edo.