xen18-ayers-table-13-14

Generalized Harmonic Mean scale from Table 13 and Table 14

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	12
Period	1200.0 ¢
Just	19-limit
Source	Xenharmonikon 18
Reference	Lydia Ayers, Making Scales from Mathematical Means, Xenharmonikon 18 (2006), p.205
Author	Lydia Ayers
Article	40 scales

Tone	Tone (¢)	Step	Step (¢)
20/19	89	20/19	89
10/9	182	19/18	94
20/17	281	18/17	99
5/4	386	17/16	105
4/3	498	16/15	112
7/5	583	21/20	84
28/19	671	20/19	89
14/9	765	19/18	94
28/17	864	18/17	99
7/4	969	17/16	105
28/15	1081	16/15	112
2/1	1200	15/14	119

Similar scales

File	Notes	Rotation	Max diff (¢)
moantone12	12	7	16.5
archytas12	12	2	20.5
StanhopeMonochord	12	8	20.5
diadie1	12	8	20.5
AlexMalcom1721	12	1	20.5
12highschool1	12	3	20.5
syndia4	12	3	20.5
syndia6	12	3	20.5
xen06-polansky-study-1	12	3	20.5
aaron	12	9	20.5

Parent scales

File	Notes	Max diff (¢)
phillips19_1	19	17.0
phillips19_3	19	17.0
phillips19	19	17.6
xen18-erlich-superpyth-22	22	15.6
xen18-erlich-luna-31	31	10.8
quasi-phillips	19	19.0
compton48	48	5.4
31edo-top	31	12.4
xen18-erlich-pajara-22	22	17.8
xen18-erlich-ennealimmal-27	27	14.8

Child scales

File	Notes	Max diff (¢)
xen09-wilson-marwa-12-02	7	7.7
xen09-wilson-marwa-12-05	7	7.7
Cambodia_Pentatonic_01	5	11.1
hemi6	6	11.4
China_Flute_04	7	17.6
Ethiopia_Mus_04_1976	5	18.0
CD17_13_Tunisia	6	18.1
CD13_10_Iraq	8	18.5
CD13_12_Iraq	9	18.7
CD14_15_Algeria	8	19.2

Raw file

! xen18-ayers-table-13-14.scl
!
Generalized Harmonic Mean scale from Table 13 and Table 14
 12
!
 20/19
 10/9
 20/17
 5/4
 4/3
 7/5
 28/19
 14/9
 28/17
 7/4
 28/15
 2/1
!
! Lydia Ayers
! Making Scales from Mathematical Means
! Xenharmonikon 18 (2006), p.205
!
! [info]
! source = Xenharmonikon
! whole_number = 18