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The mil: 1/1023 of an equal-tempered semitone

🔗Gavin R. Putland <grputland@...>

3/20/2015 3:36:04 AM

(To tuning, tuning-math, Joe Monzo)

The name of this unit is proposed at
http://beta.briefideas.org/ideas/50bd78ca85c5e2523c11f83250e851c3 .
Note the numerous important tuning/temperament intervals that are
close to whole numbers of mils. The connections to the prima and the
Brombaugh temperament-unit (tu) are acknowledged with links to
http://xenharmonic.wikispaces.com/Interval+size+measure and
http://www.tonalsoft.com/enc/t/tu.aspx .

I've had this idea in my head (without doing much about it) since I
came across the Brombaugh tu about 15 years ago. Earlier candidates
for the definition of the mil were 1/240 of a ditonic comma (3tu) and
1/220 of a syntonic comma. But I was always going to call it the mil.

If it's any use to you, you're welcome!

--
Gavin R. Putland
http://www.grputland.com .