xen18-ayers-table-49

7 Iterated First Unnamed Means between 1/1 and 2/1

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	8
Period	1200.0 ¢
Just	17-limit
Source	Xenharmonikon 18
Reference	Lydia Ayers, Making Scales from Mathematical Means, Xenharmonikon 18 (2006), p.216
Author	Lydia Ayers
Article	40 scales

Tone	Tone (¢)	Step	Step (¢)
5/4	386	5/4	386
4/3	498	16/15	112
40/27	680	10/9	182
3/2	702	81/80	22
9/5	1018	6/5	316
15/8	1088	25/24	71
255/128	1193	17/16	105
2/1	1200	256/255	7

Child scales

File	Notes	Max diff (¢)
Descartes_Hexa	12	6.8
chris	11	14.7
werck4	12	13.7
meanred	12	13.8
parizek_7lqmtd2	12	13.8
ozancirc	12	13.9
slendro_m-mean	12	14.3
werckmeisterIV_variant	12	14.3
chris_tuning_96501_96501	12	14.7
cauldron	12	15.3

Parent scales

File	Notes	Max diff (¢)
Ethiopia_Mus_04_1976	5	18.0
Ethiopia_Mus_10_1976	5	19.3
xen07-harrison-thoughts-7	5	21.5

Raw file

! xen18-ayers-table-49.scl
!
7 Iterated First Unnamed Means between 1/1 and 2/1
 8
!
 5/4
 4/3
 40/27
 3/2
 9/5
 15/8
 255/128
 2/1
!
! Lydia Ayers
! Making Scales from Mathematical Means
! Xenharmonikon 18 (2006), p.216
!
! [info]
! source = Xenharmonikon
! whole_number = 18