Topic: Four 270-equal ciculating temperaments

4 scales

Thread (1 messages)

From: Gene Ward Smith (2004-07-28)
Subject: Four 270-equal ciculating temperaments

Since there seems to be some interest in this, I give them below. The
best fifth of 270 is slightly sharp so these are temperaments
ordinare, but there's nothing wrong with that. Scala compares well270a
to vallotti and janke5 and well270b to aron-neidhardt. Well270c is not
very close to either Graham's breedt1 or my well270d or ratwell, and
well270d is not that close to well270c or stanhope. Since 270 is a
strong 13-limit system, it would make sense to detemper to the 13
limit if someone wanted a pseudo-JI version.

! well270a.scl
270 et ordinaire 6*157+6*158
12
!
93.333333
195.555556
297.777778
391.111111
502.222222
591.111111
697.777778
795.555556
893.333333
1000.000000
1088.888889
1200.000000

! well270b.scl
270 et ordinaire 156+4*157+7*158
12
!
88.888889
195.555556
293.333333
386.666667
497.777778
586.666667
697.777778
791.111111
888.888889
995.555556
1084.444444
1200.000000

! well270c.scl
270 et ordinaire 2*156+2*157+8*158
12
!
88.888889
191.111111
293.333333
382.222222
497.777778
586.666667
697.777778
791.111111
884.444444
995.555556
1084.444444
1200.000000

! well270d.scl
270 et ordinaire 3*156+9*158
12
!
88.888889
195.555556
293.333333
382.222222
497.777778
586.666667
702.222222
791.111111
888.888889
995.555556
1084.444444
1200.000000