xen15-gilson-generalized-pythagorean-15-8-10

Generalized Pythagorean Scale, 15/8 stacked 10=9+1 times

Open in Scale Workshop Scala analysis Download scl

Properties

Notes10
Period1200.0 ¢
JustNo
Source Xenharmonikon 15
ReferenceBruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.118
AuthorBruce R. Gilson
Article47 scales
Tone (¢) Step (¢)
194 194
306 112
418 112
530 112
641 112
753 112
865 112
977 112
1088 112
1200 112

Parent scales

FileNotesMax diff (¢)
xen15-gilson-generalized-pythagorean-15-8-11 11 0.0
xen15-gilson-generalized-pythagorean-15-8-32 32 0.0
xen15-gilson-generalized-pythagorean-15-8-43 43 0.0
edo-43 43 0.9
xen13-grady-19-2 19 14.0
edo-32 32 6.9
edo-11 11 23.8
xen17-erlich-unequal-22 22 17.1
xen03-wilson-negative-31 31 12.2
43-46 43 7.4

Child scales

FileNotesMax diff (¢)
CD10_15_Egypt 7 19.5
xen09-chalmers-tritriadic-1-7-11 7 21.7
xen09-chalmers-tritriadic-11-18-15 7 21.7
hexat11a 6 23.8
Ethiopia_Mus_03_1976 5 24.4

Raw file

! xen15-gilson-generalized-pythagorean-15-8-10.scl
!
Generalized Pythagorean Scale, 15/8 stacked 10=9+1 times
 10
!
 194.418433          !  162 moc
 306.149718          !  255 moc
 170859375/134217728 !  348 moc
 11390625/8388608    !  441 moc
 759375/524288       !  534 moc
 50625/32768         !  628 moc
 3375/2048           !  721 moc
 225/128             !  814 moc
 15/8                !  907 moc
 2/1                 ! 1000 moc
!
! Bruce R. Gilson
! A Numerical Theory of Scale Invention
! Xenharmonikon 15 (1993), p.118
!
! [info]
! source = Xenharmonikon
! whole_number = 15