xen15-gilson-ptolemy-diatonic-hemiolon

Ptolemy's Diatonic Hemiolon

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	7
Period	1200.0 ¢
Just	11-limit
Source	Xenharmonikon 15
Reference	Bruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.132
Author	Bruce R. Gilson
Article	47 scales

Tone	Tone (¢)	Step	Step (¢)
12/11	151	12/11	151
6/5	316	11/10	165
4/3	498	10/9	182
3/2	702	9/8	204
18/11	853	12/11	151
9/5	1018	11/10	165
2/1	1200	10/9	182

Similar scales

File	Notes	Rotation	Max diff (¢)
xen09-wilson-marwa-18a-06	7	2	0.0
met24-ptolemy_hom_Bup	7	0	2.8
sf1	7	6	11.1
coll7	7	3	12.6
CD03_03_Egypt	7	2	14.4
xen09-chalmers-tritriadic-11-15-20	7	5	14.4
xen12-chalmers-tritriadic-dm-15-11-5	7	2	14.4
xen09-wilson-marwa-18b-08	7	3	14.4
xen09-chalmers-tritriadic-10-15-11	7	6	14.4
CD03_14_Egypt	7	3	15.4

Parent scales

File	Notes	Max diff (¢)
eikohole2	18	0.0
eikohole3	20	0.0
xen18-erlich-tetracot-13	13	8.3
keenan5	22	1.4
xen18-erlich-porcupine-08	8	19.7
partch-29-av	29	0.0
xen12-wilson-14-diamond	29	0.0
xen18-erlich-amity-18	18	7.8
xen03-wilson-negative-31	31	0.0
xen18-erlich-tetracot-20	20	8.3

Child scales

File	Notes	Max diff (¢)
xen03-wilson-negative-05	5	0.0
pelog_mal	5	12.1
Vietnam_Ho_Mai_Nhi	5	15.4
Central_African_Republic_Guinahui	5	18.0
xen18-erlich-porcupine-06	6	19.7
xen18-erlich-porcupine-05	5	19.7
CD11_06_Iraq	6	20.1
tranh3	6	20.5
CD11_09_Iraq	6	20.7
xen03-wilson-positive-05	5	21.5

Raw file

! xen15-gilson-ptolemy-diatonic-hemiolon.scl
!
Ptolemy's Diatonic Hemiolon
 7
!
 12/11 !  126 moc
 6/5   !  263 moc
 4/3   !  415 moc
 3/2   !  585 moc
 18/11 !  710 moc
 9/5   !  848 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