xen15-gilson-aristoxenus-chromatic-hemiolon

Aristoxenus' Chromatic Hemiolon

Properties

Notes7
Period1200.0 ¢
Just37-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 (¢)
80/77 66 80/77 66
40/37 135 77/74 69
4/3 498 37/30 363
3/2 702 9/8 204
120/77 768 80/77 66
60/37 837 77/74 69
2/1 1200 37/30 363

Similar scales

FileNotesRotationMax diff (¢)
xen15-gilson-aristoxenus-chromatic-malakon 7 0 15.5
xen11-chalmers-tetrachordal-06-03 7 3 23.2
xen10-wilson-purvi-11b-02 7 0 23.2
xen11-chalmers-tetrachordal-06-04 7 0 23.2
xen15-gilson-archytas-enharmonic 7 0 23.2
xen09-wilson-marwa-17a-05 7 1 23.2
xen09-wilson-marwa-17b-05 7 1 23.2
xen10-wilson-purvi-11a-01 7 4 23.2
xen10-wilson-purvi-11a-07 7 1 23.2
xen11-chalmers-tetrachordal-06-07 7 4 23.2

Parent scales

FileNotesMax diff (¢)
variant-on-marcel_12 12 3.6
Secor17-ZRT 17 5.9
shur17 17 6.3
jot17a 17 6.7
triaphonic_17 17 7.7
xen18-erlich-liese-15 15 9.8
jot17 17 8.1
catakleismic34semitransversal 17 9.0
xen18-erlich-liese-17 17 9.8
17-tET 17 10.1

Child scales

FileNotesMax diff (¢)
xen18-schulter-harrison 5 3.2
pelog_mal 5 3.6
xen18-schulter-harrison-17-wt 5 5.3
ForJustin-pentatonic001 5 14.4

Raw file

! xen15-gilson-aristoxenus-chromatic-hemiolon.scl
!
Aristoxenus' Chromatic Hemiolon
 7
!
 80/77  !   55 moc
 40/37  !  112 moc
 4/3    !  415 moc
 3/2    !  585 moc
 120/77 !  640 moc
 60/37  !  697 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