xen18-ayers-table-37

7 Iterated Harmonic Square Means between 1/1 and 2/1

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	8
Period	1200.0 ¢
Just	14321-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 (¢)
16384/14321	233	16384/14321	233
4096/3281	384	14321/13124	151
32768/24305	517	26248/24305	133
128/89	629	24305/22784	112
4096/2705	718	2848/2705	89
64/41	771	2705/2624	53
8/5	814	41/40	43
2/1	1200	5/4	386

Parent scales

File	Notes	Max diff (¢)
edo-25	25	10.8
hi19marv	19	18.3
trab19marv	19	18.3
hi19_72	19	18.3
trab19_72	19	18.3
xen12-hanson-11-chain-72	19	18.3
xen18-erlich-catler-36	36	9.4
stellar	20	18.3
tenn41c	41	7.6
diamond9keemic	19	19.1

Raw file

! xen18-ayers-table-37.scl
!
7 Iterated Harmonic Square Means between 1/1 and 2/1
 8
!
 16384/14321
 4096/3281
 32768/24305
 128/89
 4096/2705
 64/41
 8/5
 2/1
!
! Lydia Ayers
! Making Scales from Mathematical Means
! Xenharmonikon 18 (2006), p.213
!
! [info]
! source = Xenharmonikon
! whole_number = 18