Mavila: Difference between revisions

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== Tunings ==

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~~.

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 high rolloff (such as sine waves, marimba, and ocarina), or timbres with high inharmonicity (detuned partials, such as Gamelan, bells, or Timbila instruments).

The temperament defines a tuning spectrum, similarly to the meantone spectrum. The fifth of 7edo (~686 cents) is often thought of as an informal dividing line between meantone and mavila temperament: if the fifth is flatter than this, it will generate anti-diatonic scales, 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.

The temperament defines a tuning spectrum, similarly to the meantone spectrum. The fifth of 7edo (~686 cents) is often thought of as an informal dividing line between meantone and mavila temperament, in which case it forms the sharpmost endpoint on the mavila tuning spectrum: if the fifth is flatter than this, it will generate anti-diatonic scales, and if it is sharper than this, it will generate diatonic scales. The fifth of 9edo is also often thought of as the other (flatmost) endpoint on the mavila spectrum.

Much like meantone, mavila is [[support|supported]] by several low-numbered edos, which will basically be the same size as the mosses listed above.

7edo can be thought of as a primitive tuning, yielding a ~~totally~~ equal heptatonic scale that is equally diatonic and anti-diatonic.

7edo can be thought of as a primitive tuning, yielding a completely equal heptatonic scale that is equally diatonic and anti-diatonic.

The next edo supporting mavila is 9edo, which can be thought of as the first mavila edo (and the first edo in general) differentiating between 4:5:6 major and 10:12:15 minor chords. This is fairly interesting, as there is no real equivalent in meantone terms. It is larger than the "diatonic" sized mos, but smaller than the 16-tone "chromatic" mos. It is best thought of as a "superdiatonic" scale. The fifth is 667 cents.

It is also supported by 16edo, which is probably the most common tuning for mavila temperament. This can be thought of as the first edo offering the potential for chromatic mavila harmony, similar to 12edo for meantone. This is also the usual setting for the aforementioned Armodue theory, although the Armodue theory can easily be extended to larger mavila scales such as mavila[23]~~. The fifth is 675 cents~~.

It is also supported by 16edo, which is probably the most common tuning for mavila temperament. This can be thought of as the first edo offering the potential for chromatic mavila harmony, similar to 12edo for meantone. This is also the usual setting for the aforementioned Armodue theory, although the Armodue theory can easily be extended to larger mavila scales such as mavila[23].

The next edo supporting mavila is 23edo, which is the second-most common tuning for mavila temperament, used frequently by [[Igliashon Jones]] in his [[Cryptic Ruse]] albums. The fifth is 678 cents, and as a result the harmonic properties are slightly better than 16edo, although still fairly inharmonic compared to meantone. The anti-diatonic scale is more "quasi-equal" in this tuning than in 16edo.

@@ Line 31: / Line 31: @@
 == Tunings ==
-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.
+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 high rolloff (such as sine waves, marimba, and ocarina), or timbres with high inharmonicity (detuned partials, such as Gamelan, bells, or Timbila instruments).
-The temperament defines a tuning spectrum, similarly to the meantone spectrum. The fifth of 7edo (~686 cents) is often thought of as an informal dividing line between meantone and mavila temperament: if the fifth is flatter than this, it will generate anti-diatonic scales, 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.
+The temperament defines a tuning spectrum, similarly to the meantone spectrum. The fifth of 7edo (~686 cents) is often thought of as an informal dividing line between meantone and mavila temperament, in which case it forms the sharpmost endpoint on the mavila tuning spectrum: if the fifth is flatter than this, it will generate anti-diatonic scales, and if it is sharper than this, it will generate diatonic scales. The fifth of 9edo is also often thought of as the other (flatmost) endpoint on the mavila spectrum.
 Much like meantone, mavila is [[support|supported]] by several low-numbered edos, which will basically be the same size as the mosses listed above.
-edo can be thought of as a primitive tuning, yielding a totally equal heptatonic scale that is equally diatonic and anti-diatonic.
+edo can be thought of as a primitive tuning, yielding a completely equal heptatonic scale that is equally diatonic and anti-diatonic.
 The next edo supporting mavila is 9edo, which can be thought of as the first mavila edo (and the first edo in general) differentiating between 4:5:6 major and 10:12:15 minor chords. This is fairly interesting, as there is no real equivalent in meantone terms. It is larger than the "diatonic" sized mos, but smaller than the 16-tone "chromatic" mos. It is best thought of as a "superdiatonic" scale. The fifth is 667 cents.
-It is also supported by 16edo, which is probably the most common tuning for mavila temperament. This can be thought of as the first edo offering the potential for chromatic mavila harmony, similar to 12edo for meantone. This is also the usual setting for the aforementioned Armodue theory, although the Armodue theory can easily be extended to larger mavila scales such as mavila[23]. The fifth is 675 cents.
+It is also supported by 16edo, which is probably the most common tuning for mavila temperament. This can be thought of as the first edo offering the potential for chromatic mavila harmony, similar to 12edo for meantone. This is also the usual setting for the aforementioned Armodue theory, although the Armodue theory can easily be extended to larger mavila scales such as mavila[23].
 The next edo supporting mavila is 23edo, which is the second-most common tuning for mavila temperament, used frequently by [[Igliashon Jones]] in his [[Cryptic Ruse]] albums. The fifth is 678 cents, and as a result the harmonic properties are slightly better than 16edo, although still fairly inharmonic compared to meantone. The anti-diatonic scale is more "quasi-equal" in this tuning than in 16edo.