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Mavila in 55edo

🔗Gene Ward Smith <gwsmith@svpal.org>

10/13/2005 1:21:28 AM

The synched tuning for mavila is very close to the tuning where the
fifth is 31 steps of 55 edo. 55 is of course also a well-known
meantone tuning, with a fifth of 32 steps. We can convert between them
up to octave equivalence by multiplying; if n is the number of steps
in a meantone piece in 55edo, then replace n with 13n mod 55. This
will produce a corresponding mavila piece, where of course you may
prefer to adjust some of the notes up or down by an octave. Similarly,
a mavila piece can be transformed to a meantone piece by replacing n with
17n mod 55.