xen15-gilson-ptolemy-diatonic-syntonon

Ptolemy's Diatonic Syntonon

Open in Scale Workshop Scala analysis Download scl

Properties

Notes7
Period1200.0 ¢
Just5-limit
Source Xenharmonikon 15
ReferenceBruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.131
AuthorBruce R. Gilson
Article47 scales
Tone Tone (¢) Step Step (¢)
16/15 112 16/15 112
6/5 316 9/8 204
4/3 498 10/9 182
3/2 702 9/8 204
8/5 814 16/15 112
9/5 1018 9/8 204
2/1 1200 10/9 182

Similar scales

FileNotesRotationMax diff (¢)
xen03-wilson-negative-07 7 0 0.0
xen09-wilson-marwa-04-09 7 0 0.0
xen12-chalmers-tritriadic-dm-5-3-1 7 0 0.0
mavchrome7 7 2 0.0
xen09-chalmers-tritriadic-4-5-6 7 2 0.0
xen09-wilson-marwa-03-03 7 6 0.0
xen09-wilson-marwa-03-08 7 2 0.0
xen09-wilson-marwa-04-04 7 4 0.0
xen10-wilson-purvi-05-02 7 2 0.0
xen15-gilson-just-diatonic 7 2 0.0

Parent scales

FileNotesMax diff (¢)
aaron 12 0.0
duodene 12 0.0
dwarf12_7 12 0.0
ji_12 12 0.0
kesred12_5 12 0.0
schisdia6 12 0.0
syndia2 12 0.0
xen03-wilson-negative-12 12 0.0
blueji-cataclysmic 12 1.7
xen15-gilson-pythagorean-chromatic 12 2.0

Child scales

FileNotesMax diff (¢)
xen03-wilson-negative-05 5 0.0
tranh3 6 20.5
xen03-wilson-positive-05 5 21.5
CD14_04_Algeria 6 22.2
Vietnam_Sa_Mac 5 22.4
CD14_03_Algeria 6 22.4
Ethiopia_Mus_03_Yammatbal 5 23.0

Raw file

! xen15-gilson-ptolemy-diatonic-syntonon.scl
!
Ptolemy's Diatonic Syntonon
 7
!
 16/15 !   93 moc
 6/5   !  263 moc
 4/3   !  415 moc
 3/2   !  585 moc
 8/5   !  678 moc
 9/5   !  848 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