xen15-gilson-generalized-just-3

Scale based on product (21/20)**3 * (16/15)**2 * (15/14)**3 * (10/9)**2 = 2

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	10
Period	1200.0 ¢
Just	7-limit
Source	Xenharmonikon 15
Reference	Bruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.121
Author	Bruce R. Gilson
Article	47 scales

Tone	Tone (¢)	Step	Step (¢)
15/14	119	15/14	119
8/7	231	16/15	112
6/5	316	21/20	84
9/7	435	15/14	119
10/7	617	10/9	182
3/2	702	21/20	84
8/5	814	16/15	112
12/7	933	15/14	119
9/5	1018	21/20	84
2/1	1200	10/9	182

Similar scales

File	Notes	Rotation	Max diff (¢)
decad	10	7	0.0
mecaa	10	2	3.0
secad	10	7	5.1
jubilee10asym1	10	8	17.8
jubilee10sym1	10	3	17.8
xen17-erlich-dynamic-symmetrical-major	10	2	18.8
xen17-erlich-dynamic-symmetrical-minor	10	0	18.8
xen17-erlich-static-symmetrical-major	10	3	18.8
xen17-erlich-static-symmetrical-minor	10	4	18.8
xen18-erlich-pajara-10	10	3	19.0

Parent scales

File	Notes	Max diff (¢)
meandin	12	0.0
metdia	19	0.0
syndia2	12	7.7
meandia	21	0.0
sentdia	21	0.0
bayes_alt12	12	10.3
perz	27	0.0
sensidia	27	0.0
diamond9plus-marvel	21	3.9
rosatimarv	21	3.9

Child scales

File	Notes	Max diff (¢)
xen10-wilson-purvi-02a-01	7	7.7
xen10-wilson-purvi-02b-01	7	7.7
Indonesia_Konservatori_Karawitan_Gamelan_I_b	5	16.9
parizekmic5	5	18.2
CD04_11_Egypt	6	18.4
CD09_11_Egypt	7	18.5
Indonesia_Gamelan_Kedokngorek_Kyahi	5	18.9
xen10-wilson-purvi-07b-01	7	19.1
Indonesia_Hajanagara	5	19.9
Indonesia_Pancasona_b	5	21.9

Raw file

! xen15-gilson-generalized-just-3.scl
!
Scale based on product (21/20)**3 * (16/15)**2 * (15/14)**3 * (10/9)**2 = 2
 10
!
 15/14 !  100 moc
 8/7   !  193 moc
 6/5   !  263 moc
 9/7   !  363 moc
 10/7  !  515 moc
 3/2   !  585 moc
 8/5   !  678 moc
 12/7  !  778 moc
 9/5   !  848 moc
 2/1   ! 1000 moc
!
! Bruce R. Gilson
! A Numerical Theory of Scale Invention
! Xenharmonikon 15 (1993), p.121
!
! [info]
! source = Xenharmonikon
! whole_number = 15