xen15-gilson-generalized-pythagorean-15-8-43

Generalized Pythagorean Scale, 15/8 stacked 43=39+4 times

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	43
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 (¢)
25	25
54	29
83	29
107	25
136	29
165	29
194	29
219	25
248	29
277	29
306	29
331	25
360	29
389	29
418	29
442	25
472	29
501	29
530	29
554	25
583	29
612	29
641	29
666	25
695	29
724	29
753	29
778	25
807	29
836	29
865	29
889	25
918	29
947	29
977	29
1001	25
1030	29
1059	29
1088	29
1113	25
1142	29
1171	29
1200	29

Similar scales

File	Notes	Rotation	Max diff (¢)
edo-43	43	41	4.3
43-46	43	13	9.5
xen18-erlich-nautilus-43	43	31	18.9
xen03-secor-partch	43	28	21.0

Parent scales

File	Notes	Max diff (¢)
edo-58	58	8.6
xen18-erlich-catler-48	48	11.9
edo-44	44	13.2
edo-45	45	13.1
edo-46	46	12.8
edo-48	48	12.3
edo-50	50	11.7
edo-47	47	12.6
edo-68	68	7.3
xen18-erlich-hanson-53	53	11.0

Child scales

File	Notes	Max diff (¢)
xen15-gilson-generalized-pythagorean-15-8-32	32	0.0
xen15-gilson-generalized-pythagorean-15-8-11	11	0.0
xen15-gilson-generalized-pythagorean-15-8-10	10	0.0
xen10-chalmers-tritriadic-7-19-25	7	2.7
Sudan_Janger_140	5	4.1
xen12-chalmers-tritriadic-mt-5-17-25	7	4.3
xen07-chalmers-fifth-comma	19	4.4
xen18-erlich-semaphore-05	5	4.4
tertiadia6	12	4.4
CD08_07_Egypt	6	4.5

Raw file

! xen15-gilson-generalized-pythagorean-15-8-43.scl
!
Generalized Pythagorean Scale, 15/8 stacked 43=39+4 times
 43
!
 24.598871           !   20 moc
 53.643009           !   45 moc
 82.687147           !   69 moc
 107.286019          !   89 moc
 136.330157          !  114 moc
 165.374295          !  138 moc
 194.418433          !  162 moc
 219.017304          !  183 moc
 248.061442          !  207 moc
 277.10558           !  231 moc
 306.149718          !  255 moc
 330.748589          !  276 moc
 359.792727          !  300 moc
 388.836865          !  324 moc
 170859375/134217728 !  348 moc
 442.479874          !  369 moc
 471.524012          !  393 moc
 500.56815           !  417 moc
 11390625/8388608    !  441 moc
 554.21116           !  462 moc
 583.255298          !  486 moc
 612.299436          !  510 moc
 759375/524288       !  534 moc
 665.942445          !  555 moc
 694.986583          !  579 moc
 724.030721          !  603 moc
 50625/32768         !  628 moc
 777.67373           !  648 moc
 806.717868          !  672 moc
 835.762006          !  696 moc
 3375/2048           !  721 moc
 889.405016          !  741 moc
 918.449154          !  765 moc
 947.493291          !  790 moc
 225/128             !  814 moc
 1001.136301         !  834 moc
 1030.180439         !  858 moc
 1059.224577         !  883 moc
 15/8                !  907 moc
 1112.867586         !  927 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