Topic: A circulating temperament with exact brats

1 scales

Thread (1 messages)

From: Gene Ward Smith (2005-09-08)
Subject: A circulating temperament with exact brats

The wolfish triad for this one, on the F#/Gb degree, has a 14/11 type
major third and sharp fifth. The brat is the only one not simple,
177/176, though perhaps that is good enough as an approximate 1 to help.
The rest of it is pretty normal, but with nice brats; aside from the 3/2 
(pure fifths) and 2 brats Wendel used, it has brats of 4. This is also
a useful number, with the associated beat ratios going 4, -1, -1/4, so
that we have only integers and inverse integers (which amounts to the
same thing.)

! brac.scl
circulating temperament with simple beat ratios
! beat ratios 4 3/2 4 3/2 2 2 177/176 4 3/2 2 3/2 2
12
!
56640/53701
60008/53701
63720/53701
67264/53701
71685/53701
75056/53701
80276/53701
84960/53701
89920/53701
95580/53701
100544/53701
2