xen15-gilson-generalized-pythagorean-15-8-11

Generalized Pythagorean Scale, 15/8 stacked 11=10+1 times

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	11
Period	1200.0 ¢
Just	No
Source	Xenharmonikon 15
Reference	Bruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.118
Author	Bruce R. Gilson
Article	47 scales

Tone (¢)	Step (¢)
83	83
194	112
306	112
418	112
530	112
641	112
753	112
865	112
977	112
1088	112
1200	112

Similar scales

File	Notes	Rotation	Max diff (¢)
mike	11	4	20.3
met24-quasi_11-EDO_Ebup	11	7	23.5
quasi_11-EDO	11	3	23.9

Parent scales

File	Notes	Max diff (¢)
xen15-gilson-generalized-pythagorean-15-8-32	32	0.0
xen15-gilson-generalized-pythagorean-15-8-43	43	0.0
edo-43	43	1.0
xen13-grady-19-2	19	14.0
edo-32	32	7.7
43-46	43	7.4
xen11-wilsonsmithgrady-marimba	36	10.1
22highschool	22	19.6
ha22	22	19.6
xen12-wilson-07-eikosany-extended	22	19.6

Child scales

File	Notes	Max diff (¢)
xen15-gilson-generalized-pythagorean-15-8-10	10	0.0
Indonesia_Gunturmadu	7	13.0
CD10_15_Egypt	7	19.5
xen09-chalmers-tritriadic-1-7-11	7	21.7
xen09-chalmers-tritriadic-11-18-15	7	21.7
xen18-erlich-ripple-05	5	22.8
hexat11a	6	23.8
Ethiopia_Mus_03_1976	5	24.4
xen18-erlich-passion-05	5	25.0

Raw file

! xen15-gilson-generalized-pythagorean-15-8-11.scl
!
Generalized Pythagorean Scale, 15/8 stacked 11=10+1 times
 11
!
 82.687147           !   69 moc
 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