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Poptimal synchonized beating ennealimmal tuning

🔗Gene Ward Smith <gwsmith@svpal.org>

10/10/2005 2:19:01 AM

The polynomial of degree 27

b^27+1024*b^9-18432*b^8+147456*b^7-688128*b^6+2064384*b^5
-4128768*b^4+5505024*b^3-4718592*b^2+2359296*b-524288

has a single real root. This root is very close to 6/5, and together
with the ninth root of two, generates the ennealimmal temperament. The
tuning is 7-limit poptimal, and is quite close to that of 1494-et,
which is also 7-limit poptimal. Whether synchronized beating with
periods of a minute or so actually are auditarily interesting would
need to ne decided by actual listening.