xen15-gilson-pythagorean-diatonic

Pythagorean Intonation Diatonic Scale (PIDS)

Open in Scale Workshop Scala analysis Download scl

Properties

Notes7
Period1200.0 ¢
Just3-limit
Source Xenharmonikon 15
ReferenceBruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.102
AuthorBruce R. Gilson
Article47 scales
Tone Tone (¢) Step Step (¢)
9/8 204 9/8 204
81/64 408 9/8 204
4/3 498 256/243 90
3/2 702 9/8 204
27/16 906 9/8 204
243/128 1110 9/8 204
2/1 1200 256/243 90

Similar scales

FileNotesRotationMax diff (¢)
xen06-london-ditone-diatonic 7 0 0.0
xen09-chalmers-tritriadic-64-81-96 7 0 0.0
xen09-wilson-marwa-02-02 7 0 0.0
xen10-wilson-purvi-01-02 7 0 0.0
xen09-wilson-marwa-02-01 7 4 0.0
xen10-wilson-purvi-01-01 7 4 0.0
synmav1 7 6 0.0
xen09-chalmers-tritriadic-54-64-81 7 2 0.0
xen09-wilson-marwa-02-03 7 3 0.0
xen09-wilson-marwa-02-04 7 6 0.0

Parent scales

FileNotesMax diff (¢)
org1373a 12 0.0
org1373a_tuning_34979_36356 12 0.0
xen03-wilson-positive-12 12 0.0
xen15-gilson-pythagorean-chromatic 12 0.0
xen18-schulter-pythagorean 12 0.0
xen18-erlich-helmholtz-12 12 1.0
akj19_12 12 1.4
xen18-erlich-garibaldi-12 12 1.9
schisdia1 12 2.0
schisdia4 12 2.0

Child scales

FileNotesMax diff (¢)
xen15-gilson-generalized-pythagorean-3-2-5 5 0.0
xen15-gilson-pythagorean-pentatonic 5 0.0
Uganda_Xylophone_a 5 10.9
Indonesia_Slendro_Tandak_Geroh 5 13.8
CD15_15_Morocco 5 14.7
Vietnam_Bac 5 14.9
Thailand_Kaen_hok 5 17.0
xen07-harrison-thoughts-7 5 21.5
xen12-wilson-39-4C2-hexany-01 6 21.5
xen15-gilson-just-pentatonic 5 21.5

Raw file

! xen15-gilson-pythagorean-diatonic.scl
!
Pythagorean Intonation Diatonic Scale (PIDS)
 7
!
 9/8     !  170 moc
 81/64   !  340 moc
 4/3     !  415 moc
 3/2     !  585 moc
 27/16   !  755 moc
 243/128 !  925 moc
 2/1     ! 1000 moc
!
! Bruce R. Gilson
! A Numerical Theory of Scale Invention
! Xenharmonikon 15 (1993), p.102
!
! [info]
! source = Xenharmonikon
! whole_number = 15