xen15-gilson-generalized-pythagorean-13-8-10

Generalized Pythagorean Scale, 13/8 stacked 10=7+3 times

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	10
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 (¢)
122	122
243	122
365	122
481	116
603	122
724	122
841	116
962	122
1084	122
1200	116

Similar scales

File	Notes	Rotation	Max diff (¢)
edo-10	10	0	4.7
freefokkerblock	10	8	12.0
fokkerblock	10	4	13.4
xen18-erlich-miracle-10	10	0	14.6
vines_ovovo10eb5w6w7_0_D	10	0	15.9
2.3.5-7.11-9.diamond	10	9	19.1
xen07-morrison-decimal	10	1	20.1
xen18-erlich-lemba-10	10	0	20.3
xen18-erlich-beatles-10	10	3	21.4
xen18-erlich-negrisept-10	10	0	21.6

Parent scales

File	Notes	Max diff (¢)
edo-20	20	4.7
xen18-erlich-miracle-11	11	14.6
edo-30	30	4.7
lemba12	12	21.5
tertiadia6	12	21.6
line40	40	4.2
edo-40	40	4.7
xen18-erlich-miracle-21	21	14.6
16-miracle-oct	21	14.7
blackjack	21	14.7

Child scales

File	Notes	Max diff (¢)
xen15-gilson-generalized-pythagorean-13-8-7	7	0.0
edo-05	5	4.2
xen18-ayers-table-24	5	4.2
xen18-erlich-blacksmith-05	5	6.7
xen09-chalmers-tritriadic-8-14-13	7	6.7
xen09-chalmers-tritriadic-13-14-16	7	6.7
xen18-erlich-blackwood-05	5	7.6
xen18-erlich-negrisept-05	5	8.6
Indonesia_Konservatori_Karawitan_Gamelan_III_b	5	8.9
xen18-erlich-miracle-05	5	9.7

Raw file

! xen15-gilson-generalized-pythagorean-13-8-10.scl
!
Generalized Pythagorean Scale, 13/8 stacked 10=7+3 times
 10
!
 2197/2048           !  101 moc
 4826809/4194304     !  203 moc
 364.748956          !  304 moc
 169/128             !  401 moc
 371293/262144       !  502 moc
 815730721/536870912 !  604 moc
 13/8                !  700 moc
 28561/16384         !  802 moc
 62748517/33554432   !  903 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