xen15-gilson-aristoxenus-diatonic-syntonon

Aristoxenus' Diatonic Syntonon

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	7
Period	1200.0 ¢
Just	19-limit
Source	Xenharmonikon 15
Reference	Bruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.131
Author	Bruce R. Gilson
Article	47 scales

Tone	Tone (¢)	Step	Step (¢)
20/19	89	20/19	89
20/17	281	19/17	193
4/3	498	17/15	217
3/2	702	9/8	204
30/19	791	20/19	89
30/17	983	19/17	193
2/1	1200	17/15	217

Similar scales

File	Notes	Rotation	Max diff (¢)
Ghana_Sauta	7	6	6.2
xen09-chalmers-tritriadic-26-33-39	7	2	7.9
ForJustin001	7	0	8.3
msdiat7	7	2	8.3
xen09-chalmers-tritriadic-22-28-33	7	2	8.3
44_39-diat1	7	5	8.4
xen15-chalmers-triadic-reversed-diamond-13-11	7	1	8.4
CD15_01_husayni_Algeria	7	5	10.7
xen18-erlich-dominant-07	7	1	11.1
zest24_Suz-i_Dilara_Gbup	7	2	12.6

Parent scales

File	Notes	Max diff (¢)
CD15_02_Algeria	8	10.8
CD13_18_Turkey	9	12.1
CD14_01_Algeria	8	16.4
unimajorpenta	12	10.0
xen07-chalmers-sixth-comma	19	3.9
xen18-erlich-dominant-12	12	11.1
5151	12	11.1
Sparschuh442French	12	11.5
eleven_eyes_dodecatonics	12	11.5
CD14_06_Algeria	8	18.1

Child scales

File	Notes	Max diff (¢)
ForJustin-pentatonic001	5	8.3
xen03-wilson-positive-05	5	12.8
CD14_03_Algeria	6	13.5
xen03-wilson-acute-05	5	14.5
xen07-harrison-thoughts-5	5	14.5
xen07-harrison-thoughts-6	5	14.5
CD14_04_Algeria	6	14.9
met24-quasi_5-EDO_F	5	16.5
CD14_16_Algeria	6	20.0
CD12_11_Iraq	6	20.2

Raw file

! xen15-gilson-aristoxenus-diatonic-syntonon.scl
!
Aristoxenus' Diatonic Syntonon
 7
!
 20/19 !   74 moc
 20/17 !  234 moc
 4/3   !  415 moc
 3/2   !  585 moc
 30/19 !  659 moc
 30/17 !  819 moc
 2/1   ! 1000 moc
!
! Bruce R. Gilson
! A Numerical Theory of Scale Invention
! Xenharmonikon 15 (1993), p.131
!
! [info]
! source = Xenharmonikon
! whole_number = 15