Topic: 22 note magic somewhat ciculating temperament

1 scales

Thread (1 messages)

From: Gene Ward Smith (2004-07-28)
Subject: 22 note magic somewhat ciculating temperament

I thought I'd try to see if I could get a decent magic
well-temperament on 22 notes; the following may be too extreme to
count, in that some of the fifths in remote keys are pretty sharp, but
it might have a use. Anyway it seems clear it is possible to make a
circulating temperament in more than 12 notes, and not necessary to
stick to something quite as easy as hanson on 19.

This has 17 major thirds of 380.5 cents and 5 pure major thirds. It
has 13 nice 702.5 cent fifths, two not-so-nice 708.3 cent fifths and
then even sharper ones up to a single 731.6 cent howlin' wolf.

! mag22.scl
22 note magic temperament
22
!
58.512100
117.024201
158.083059
204.959665
263.471766
321.983866
380.495967
439.008067
497.520167
544.396773
585.455632
643.967732
702.479833
760.991933
819.504033
878.016134
930.710487
971.769345
1024.463699
1082.975799
1141.487900
1200.000000