xen15-gilson-generalized-pythagorean-11-8-37

Generalized Pythagorean Scale, 11/8 stacked 37=17+20 times

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	37
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 (¢)
32	32
64	33
96	32
129	33
162	33
193	32
226	33
259	33
291	32
324	33
357	33
388	32
421	33
454	33
486	32
518	33
551	33
583	32
616	33
647	32
680	33
713	33
745	32
778	33
811	33
842	32
875	33
908	33
940	32
972	33
1005	33
1037	32
1070	33
1103	33
1134	32
1167	33
1200	33

Similar scales

File	Notes	Rotation	Max diff (¢)
edo-37	37	4	1.2
xen18-erlich-porcupine-37	37	17	10.4
monzoblock37	37	14	15.3
xen18-erlich-beatles-37	37	0	21.6
xen18-erlich-passion-37	37	0	22.0

Parent scales

File	Notes	Max diff (¢)
43-46	43	12.8
miracle41s	41	14.1
edo-42	42	13.9
edo-46	46	12.5
edo-48	48	11.9
edo-41	41	14.3
edo-43	43	13.6
edo-40	40	14.7
edo-45	45	13.0
edo-39	39	15.2

Child scales

File	Notes	Max diff (¢)
xen15-gilson-generalized-pythagorean-11-8-24	24	0.0
xen15-gilson-generalized-pythagorean-11-8-13	13	0.0
xen15-gilson-generalized-pythagorean-11-8-11	11	0.0
37-EDO_generator11_8	11	0.3
xen09-chalmers-tritriadic-1-5-11	7	1.9
xen18-erlich-bug-05	5	2.1
porcupine	7	2.8
xen12-chalmers-tritriadic-dm-1-5-27	7	3.0
xen18-erlich-luna-05	5	3.0
xen18-erlich-porcupine-06	6	3.1

Raw file

! xen15-gilson-generalized-pythagorean-11-8-37.scl
!
Generalized Pythagorean Scale, 11/8 stacked 37=17+20 times
 37
!
 31.630617           !   26 moc
 64.497366           !   54 moc
 96.127983           !   80 moc
 128.994732          !  107 moc
 161.861481          !  135 moc
 193.492098          !  161 moc
 226.358847          !  189 moc
 19487171/16777216   !  216 moc
 290.856213          !  242 moc
 323.722963          !  270 moc
 161051/131072       !  297 moc
 388.220329          !  324 moc
 421.087078          !  351 moc
 1331/1024           !  378 moc
 485.584444          !  405 moc
 518.451193          !  432 moc
 11/8                !  459 moc
 582.948559          !  486 moc
 615.815308          !  513 moc
 647.445925          !  540 moc
 680.312674          !  567 moc
 713.179424          !  594 moc
 744.81004           !  621 moc
 777.67679           !  648 moc
 214358881/134217728 !  675 moc
 842.174156          !  702 moc
 875.040905          !  729 moc
 1771561/1048576     !  757 moc
 939.538271          !  783 moc
 972.40502           !  810 moc
 14641/8192          !  838 moc
 1036.902386         !  864 moc
 1069.769135         !  891 moc
 121/64              !  919 moc
 1134.266501         !  945 moc
 1167.133251         !  973 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