xen15-gilson-aristoxenus-enharmonic

Aristoxenus' Enharmonic

Properties

Notes7
Period1200.0 ¢
Just19-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 (¢)
40/39 44 40/39 44
20/19 89 39/38 45
4/3 498 19/15 409
3/2 702 9/8 204
20/13 746 40/39 44
30/19 791 39/38 45
2/1 1200 19/15 409

Similar scales

FileNotesRotationMax diff (¢)
xen09-wilson-marwa-17a-05 7 1 22.9
xen09-wilson-marwa-17b-05 7 1 22.9
xen10-wilson-purvi-11a-07 7 1 22.9
xen10-wilson-purvi-11b-02 7 0 22.9
xen11-chalmers-tetrachordal-06-04 7 0 22.9
xen15-gilson-archytas-enharmonic 7 0 22.9
xen15-gilson-eratosthenes-enharmonic 7 0 22.9
xen10-wilson-purvi-11a-01 7 4 22.9
xen11-chalmers-tetrachordal-06-07 7 4 22.9
xen11-chalmers-tetrachordal-06-03 7 3 22.9

Parent scales

FileNotesMax diff (¢)
monzo_pyth-quartertone 24 3.1
bala_ribbon24 24 7.6
xen18-erlich-nautilus-29 29 5.8
edo-29 29 6.0
lemba26 26 8.6
dwarf27_7tempered 27 8.3
jiri24a 24 10.2
edo-26 26 9.6
Archytas3genera 11 22.9
xen18-schulter-pure-11-14-24 24 11.1

Child scales

FileNotesMax diff (¢)
ForJustin-pentatonic001 5 8.3
xen18-schulter-harrison 5 19.1
xen18-schulter-harrison-17-wt 5 20.1

Raw file

! xen15-gilson-aristoxenus-enharmonic.scl
!
Aristoxenus' Enharmonic
 7
!
 40/39 !   37 moc
 20/19 !   74 moc
 4/3   !  415 moc
 3/2   !  585 moc
 20/13 !  621 moc
 30/19 !  659 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