xen15-gilson-eratosthenes-diatonic

Eratosthenes' Diatonic (or Ptolemy's Diatonic Ditonaion)

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.131
AuthorBruce R. Gilson
Article47 scales
Tone Tone (¢) Step Step (¢)
256/243 90 256/243 90
32/27 294 9/8 204
4/3 498 9/8 204
3/2 702 9/8 204
128/81 792 256/243 90
16/9 996 9/8 204
2/1 1200 9/8 204

Similar scales

FileNotesRotationMax diff (¢)
xen03-wilson-positive-07 7 0 0.0
xen09-wilson-marwa-02-06 7 0 0.0
xen10-wilson-purvi-01-06 7 0 0.0
xen09-wilson-marwa-02-01 7 6 0.0
xen10-wilson-purvi-01-01 7 6 0.0
synmav1 7 1 0.0
xen09-wilson-marwa-02-04 7 1 0.0
xen10-wilson-purvi-01-04 7 1 0.0
xen15-chalmers-triadic-reversed-diamond-32-27 7 1 0.0
xen06-london-ditone-diatonic 7 2 0.0

Parent scales

FileNotesMax diff (¢)
kirnberger1 12 0.0
ratwell 12 0.0
stanhope 12 0.0
xen03-wilson-positive-12 12 0.0
SpOldVienna 12 0.1
Sp41limW3 12 0.3
sparschuhJSBloops440Hz 12 0.9
schismatic12 12 1.0
xen18-erlich-helmholtz-12 12 1.0
piaji-helmholtz 12 1.0

Child scales

FileNotesMax diff (¢)
xen03-wilson-positive-05 5 0.0
ForJustin-pentatonic001 5 9.7
CD14_04_Algeria 6 11.2
CD14_03_Algeria 6 11.2
CD14_16_Algeria 6 20.0
CD12_11_Iraq 6 20.2
CD17_14_Tunisia 6 20.7
xen03-wilson-negative-05 5 21.5

Raw file

! xen15-gilson-eratosthenes-diatonic.scl
!
Eratosthenes' Diatonic (or Ptolemy's Diatonic Ditonaion)
 7
!
 256/243 !   75 moc
 32/27   !  245 moc
 4/3     !  415 moc
 3/2     !  585 moc
 128/81  !  660 moc
 16/9    !  830 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