xen15-gilson-generalized-pythagorean-15-8-32

Generalized Pythagorean Scale, 15/8 stacked 32=29+3 times

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	32
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 (¢)
54	54
83	29
136	54
165	29
194	29
248	54
277	29
306	29
360	54
389	29
418	29
472	54
501	29
530	29
583	54
612	29
641	29
695	54
724	29
753	29
807	54
836	29
865	29
918	54
947	29
977	29
1030	54
1059	29
1088	29
1142	54
1171	29
1200	29

Similar scales

File	Notes	Rotation	Max diff (¢)
edo-32	32	0	23.8

Parent scales

File	Notes	Max diff (¢)
xen15-gilson-generalized-pythagorean-15-8-43	43	0.0
edo-43	43	3.2
43-46	43	9.6
edo-37	37	15.0
edo-58	58	8.5
edo-38	38	14.8
xen15-gilson-generalized-pythagorean-11-8-37	37	15.3
edo-41	41	13.9
edo-39	39	14.8
edo-44	44	13.2

Child scales

File	Notes	Max diff (¢)
xen15-gilson-generalized-pythagorean-15-8-11	11	0.0
xen15-gilson-generalized-pythagorean-15-8-10	10	0.0
Sudan_Janger_140	5	4.1
xen18-erlich-semaphore-05	5	4.4
xen12-chalmers-tritriadic-mt-5-17-7	7	5.0
xen09-chalmers-tritriadic-11-14-20	7	5.2
hirajoshi3	5	5.7
Ethiopia_Mus_08_1976	5	6.3
CD06_07_Egypt	7	6.6
CD07_16_bayati_Egypt	6	6.8

Raw file

! xen15-gilson-generalized-pythagorean-15-8-32.scl
!
Generalized Pythagorean Scale, 15/8 stacked 32=29+3 times
 32
!
 53.643009           !   45 moc
 82.687147           !   69 moc
 136.330157          !  114 moc
 165.374295          !  138 moc
 194.418433          !  162 moc
 248.061442          !  207 moc
 277.10558           !  231 moc
 306.149718          !  255 moc
 359.792727          !  300 moc
 388.836865          !  324 moc
 170859375/134217728 !  348 moc
 471.524012          !  393 moc
 500.56815           !  417 moc
 11390625/8388608    !  441 moc
 583.255298          !  486 moc
 612.299436          !  510 moc
 759375/524288       !  534 moc
 694.986583          !  579 moc
 724.030721          !  603 moc
 50625/32768         !  628 moc
 806.717868          !  672 moc
 835.762006          !  696 moc
 3375/2048           !  721 moc
 918.449154          !  765 moc
 947.493291          !  790 moc
 225/128             !  814 moc
 1030.180439         !  858 moc
 1059.224577         !  883 moc
 15/8                !  907 moc
 1141.911724         !  952 moc
 1170.955862         !  976 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