xen15-gilson-ptolemy-chromatic-syntonon

Ptolemy's Chromatic Syntonon

Properties

Notes7
Period1200.0 ¢
Just11-limit
Source Xenharmonikon 15
ReferenceBruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.132
AuthorBruce R. Gilson
Article47 scales
Tone Tone (¢) Step Step (¢)
22/21 81 22/21 81
8/7 231 12/11 151
4/3 498 7/6 267
3/2 702 9/8 204
11/7 782 22/21 81
12/7 933 12/11 151
2/1 1200 7/6 267

Similar scales

FileNotesRotationMax diff (¢)
xen10-wilson-purvi-08b-02 7 0 0.0
xen09-wilson-marwa-15b-05 7 1 0.0
xen15-gilson-aristoxenus-diatonic-malakon 7 0 8.3

Parent scales

FileNotesMax diff (¢)
portsmouth 12 0.0
byzantine 23 3.9
xen18-erlich-cynder-21 21 6.7
quest24 24 5.4
partch_37 37 0.0
zest24-Bbup 24 7.3
xen18-erlich-cynder-26 26 6.7
partch-41combo 41 0.0
valamute 31 4.2
cpak22 22 9.9

Child scales

FileNotesMax diff (¢)
ForJustin-pentatonic001 5 0.0
xen07-harrison-thoughts-4 5 0.0
Indonesia_Swaraharja 5 16.0
neutr_pent2 5 16.6
xen18-schulter-harrison-17-wt 5 16.6
xen18-schulter-harrison 5 17.6
xen18-erlich-semaphore-05 5 21.3
xen18-erlich-blackwood-05 5 22.4
xen18-erlich-blacksmith-05 5 23.6
Indonesia_Sadadpengasih 5 24.9

Raw file

! xen15-gilson-ptolemy-chromatic-syntonon.scl
!
Ptolemy's Chromatic Syntonon
 7
!
 22/21 !   67 moc
 8/7   !  193 moc
 4/3   !  415 moc
 3/2   !  585 moc
 11/7  !  652 moc
 12/7  !  778 moc
 2/1   ! 1000 moc
!
! Bruce R. Gilson
! A Numerical Theory of Scale Invention
! Xenharmonikon 15 (1993), p.132
!
! [info]
! source = Xenharmonikon
! whole_number = 15