xen18-ayers-table-11

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

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	8
Period	1200.0 ¢
Just	13-limit
Construction	`iterated_harmonic_mean([Fraction(1, 1), Fraction(2, 1)], 3)`
Source	Xenharmonikon 18
Reference	Lydia Ayers, Making Scales from Mathematical Means, Xenharmonikon 18 (2006), p.204
Author	Lydia Ayers
Article	40 scales

Tone	Tone (¢)	Step	Step (¢)
16/15	112	16/15	112
8/7	231	15/14	119
16/13	359	14/13	128
4/3	498	13/12	139
16/11	649	12/11	151
8/5	814	11/10	165
16/9	996	10/9	182
2/1	1200	9/8	204

Parent scales

File	Notes	Max diff (¢)
xen07-chalmers-diaphonic-a	19	0.0
caleb46	46	0.0
keenan5_tuning_7341_7341	31	6.3
murat24	24	10.4
notchedcube	28	8.1
xen12-hanson-12-ogdoadic-diamond	49	0.0
keenan5_269	31	7.1
monzoblock37	37	4.9
urania24	24	11.5
akea46_13	46	1.9

Child scales

File	Notes	Max diff (¢)
xen09-wilson-marwa-13-01	7	22.3

Raw file

! xen18-ayers-table-11.scl
!
7 Iterated Harmonic Means between 1/1 and 2/1
 8
!
 16/15
 8/7
 16/13
 4/3
 16/11
 8/5
 16/9
 2/1
!
! Lydia Ayers
! Making Scales from Mathematical Means
! Xenharmonikon 18 (2006), p.204
!
! [info]
! source = Xenharmonikon
! whole_number = 18