xen18-ayers-table-38

Harmonic Square Means in Tetrachords between 1/1 and 4/3 and 3/2 and 2/1

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	7
Period	1200.0 ¢
Just	1201-limit
Source	Xenharmonikon 18
Reference	Lydia Ayers, Making Scales from Mathematical Means, Xenharmonikon 18 (2006), p.213
Author	Lydia Ayers
Article	40 scales

Tone	Tone (¢)	Step	Step (¢)
1296/1201	132	1296/1201	132
2048/1649	375	153728/133569	243
32/25	427	1649/1600	52
4/3	498	25/24	71
36/25	631	27/25	133
3/2	702	25/24	71
2/1	1200	4/3	498

Parent scales

File	Notes	Max diff (¢)
met24-semineutral17_Fs	17	7.7
semineutral_36-ED2	17	8.5
catakleismic34semitransversal	17	9.2
mean2-5_19	19	8.6
xen18-erlich-liese-15	15	12.6
xen18-erlich-liese-17	17	12.6
19highschool1	19	11.2
19highschool2	19	11.2
cw19_5	19	11.2
xen07-chalmers-opelt	19	11.2

Raw file

! xen18-ayers-table-38.scl
!
Harmonic Square Means in Tetrachords between 1/1 and 4/3 and 3/2 and 2/1
 7
!
 1296/1201
 2048/1649
 32/25
 4/3
 36/25
 3/2
 2/1
!
! Lydia Ayers
! Making Scales from Mathematical Means
! Xenharmonikon 18 (2006), p.213
!
! [info]
! source = Xenharmonikon
! whole_number = 18