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Re: 31-limit microtemperament challenge

🔗David C Keenan <d.keenan@uq.net.au>

3/30/2002 10:39:26 AM

OK. I've used brute force to find all the sub-half-cent 31-limit commas
with the constarints I mentioned on prime exponents. 363 of them. You will
find them in
http://dkeenan.com/Music/31LimitHalfCentCommas.xls.zip

So what's the lowest dimensioned temperament you can make with them? I only
need a linearly independent set of commas for it (preferably the set with
the most zeros in the vectors).

If it turns out you can get below 6D with them, then I probably need some
other constraint, such as that the minimax error for the temperament is
less than 0.5 c.
-- Dave Keenan
Brisbane, Australia
http://dkeenan.com