Alternative Temperaments

Clark caccola@net1plus.com
Sat, 28 Aug 1999 19:00:13 -0100


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Richard,

19tet lends itself fairly to conventional notation and Harmony (theory rather than impression)
without paired enharmonic equivalents so flatted notes are different from sharped, etc. Jack
Peters built a little 19-tone, one-octave spinet from the Zarlino print in Frank Hubbard's 3
Centuries of Harpsichord Making; unfortunately the instrument splits the raised keys
lengthwise. Step size in 19tet is about 63.2 cents (1200/19), making the 3:2 (Fifth)
approximate interval 694.7 cents vs. 1/3 syntonic comma meantone's 694.8 cents.

I'd suggest going to the source and reading Paul Erlich's paper for a description how 22tet
doesn't exactly fit within the conventional patterns, on Richard Brekne's page at
http://home.c2i.net/ric/22ALL.pdf . The last page of the appendix illustrates a solution for
staffs and key signature notation.

I've seen a fairly broad range of notation, systematic and not; a lot of it works.

Sorry, Bill, for the tummy-ache.

Clark


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