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