284edo: Difference between revisions
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'''284 EDO''' divides the octave into 284 equal parts of size 4.225 [[cent]]s each. It tempers out the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-four temperament. | '''284 EDO''' divides the octave into 284 equal parts of size 4.225 [[cent]]s each. It tempers out the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-four temperament. | ||
{{Harmonics in equal|284}} | |||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
[[Category:Nano]] | [[Category:Nano]] | ||