48edo: Difference between revisions
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== Basics == | == Basics == | ||
The ''48 equal division'' divides the [[Octave|octave]] into 48 1/8th tones of precisely 25 [[cent|cent]]s each. Since 48 is a multiple of 12, it has attracted a small amount of interest. However, its best major third, of 375 cents, is over 11 cents flat. An alternative third is the familiar 400 cent major third. Using this third, 48 tunes to the same values as 12 in the [[5-limit|5-limit]], but [[tempering_out|tempers out]] [[2401/2400|2401/2400]] in the [[7-limit|7-limit]], making it a tuning for [[Meantone_family|squares temperament]]. In the [[11-limit|11-limit]] we can add [[99/98|99/98]] and [[121/120|121/120]] to the list, and in the [[13-limit|13-limit]], [[66/65|66/65]]. While [[31edo|31edo]] can also do 13-limit squares, 48 might be preferred for some purposes. | The ''48 equal division'' divides the [[Octave|octave]] into 48 1/8th tones of precisely 25 [[cent|cent]]s each. Since 48 is a multiple of 12, it has attracted a small amount of interest. However, its best major third, of 375 cents, is over 11 cents flat. An alternative third is the familiar 400 cent major third. Using this third, 48 tunes to the same values as 12 in the [[5-limit|5-limit]], but [[tempering_out|tempers out]] [[2401/2400|2401/2400]] in the [[7-limit|7-limit]], making it a tuning for [[Meantone_family|squares temperament]]. In the [[11-limit|11-limit]] we can add [[99/98|99/98]] and [[121/120|121/120]] to the list, and in the [[13-limit|13-limit]], [[66/65|66/65]]. While [[31edo|31edo]] can also do 13-limit squares, 48 might be preferred for some purposes. | ||
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* [https://www.youtube.com/watch?v=HHozjGjWI-Q Octatonic Groove 48 EDO version] by [[Ray Perlner]] | * [https://www.youtube.com/watch?v=HHozjGjWI-Q Octatonic Groove 48 EDO version] by [[Ray Perlner]] | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave|##]] <!-- 2-digit number --> | ||
[[Category:Jubilee]] | [[Category:Jubilee]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||