7L 2s: Difference between revisions

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25edo also contains mavila, although the tuning is 672 cents and hence very flat, even flatter than 16edo. The major third is 384¢, close to a just [[5/4]] and the minor third is 288¢, close to a just [[13/11]].

The fifths of mavila are very flat - 16edo (675.0 cents) and 23edo (678.3 cents) are typical tunings, and the optimal 5-limit tuning is 679.8 cents. As a result, mavila is best played with specialized timbres: either timbres with a lot of rolloff (such as marimba, sine waves, ocarina, etc), or timbres with detuned partials (such as Gamelan or Timbila instruments), etc.

Mavila defines a tuning "spectrum", similarly to the meantone spectrum. The fifth of 7edo (~686 cents) is often thought of as a dividing line between diatonic and mavila: if the fifth is flatter than this, it will generate anti-diatonic scales but ''not'' [[7L 2s]] superdiatonic scales (it will generate [[2L 7s]] instead), and if it is sharper than this, it will generate diatonic scales. The fifth of 9edo is also often thought of as the other tuning endpoint on the mavila spectrum.

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 edo also contains mavila, although the tuning is 672 cents and hence very flat, even flatter than 16edo. The major third is 384¢, close to a just [[5/4]] and the minor third is 288¢, close to a just [[13/11]].
-The fifths of mavila are very flat - 16edo (675.0 cents) and 23edo (678.3 cents) are typical tunings, and the optimal 5-limit tuning is 679.8 cents. As a result, mavila is best played with specialized timbres: either timbres with a lot of rolloff (such as marimba, sine waves, ocarina, etc), or timbres with detuned partials (such as Gamelan or Timbila instruments), etc.
 Mavila defines a tuning "spectrum", similarly to the meantone spectrum. The fifth of 7edo (~686 cents) is often thought of as a dividing line between diatonic and mavila: if the fifth is flatter than this, it will generate anti-diatonic scales but ''not'' [[7L 2s]] superdiatonic scales (it will generate [[2L 7s]] instead), and if it is sharper than this, it will generate diatonic scales. The fifth of 9edo is also often thought of as the other tuning endpoint on the mavila spectrum.