Topic: Circulating temperaments with pure thirds

3 scales

Thread (1 messages)

From: Gene Ward Smith (2003-06-01)
Subject: Circulating temperaments with pure thirds

Scala, which has its standards, won't call these "well temperaments"
but they do circulate. I fixed one, two and three pure thirds
respectively in C major, and then did a least squares fit for the
remaining intervals.

! whelp1.scl
!
well-temperament with one pure third
 12
!
92.179265
193.156857
294.134449
386.313714
494.155249
593.011258
693.177657
793.156857
893.136057
993.302456
1092.158465
1200.000000

! whelp2.scl
!
well-temperament with two pure thirds
 12
!
91.656592
192.721296
293.611776
386.313714
493.766642
591.637234
699.090162
791.792100
892.682580
993.747284
1085.403876
1200.000000

! whelp3.scl
!
well-temperament with three pure thirds
 12
!
92.401428
193.156857
293.912285
386.313714
501.155286
591.201673
698.844714
793.156857
887.469000
995.112040
1085.158428
1200.000000