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Detempering schismic

🔗graham@microtonal.co.uk

6/28/2002 5:39:00 AM

Okay, how about

( 1 0 0)
( 2 -1 0)
(-1 8 1)
( 3 14 0)
(-4 18 -2)

Tune schismic temperament so 9:7 is just, giving a 497.81 cent generator.
This leaves 9:8 and 7:4 both 0.48 cents out. Then add a (somewhat large)
schisma of 4.356 cents to get both 5:4 and 11:8 to about 0.50 cents. It
looks like everything adds up correctly, so no 11-limit intervals are more
than 0.5 cents out.

This is also very close to 270-equal. The schisma is one step. Although
that would only give 0.74 cent accuracy with 11:9 as the offending
interval.

Graham