xen15-gilson-generalized-pythagorean-7-4-26

Generalized Pythagorean Scale, 7/4 stacked 26=21+5 times

Open in Scale Workshop Scala analysis Download scl

Properties

Notes26
Period1200.0 ¢
JustNo
Source Xenharmonikon 15
ReferenceBruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.118
AuthorBruce R. Gilson
Article47 scales
Tone (¢) Step (¢)
44 44
88 44
132 44
177 44
221 44
275 55
319 44
364 44
408 44
452 44
506 55
551 44
595 44
639 44
683 44
738 55
782 44
826 44
870 44
914 44
969 55
1013 44
1057 44
1101 44
1145 44
1200 55

Similar scales

FileNotesRotationMax diff (¢)
lemba26 26 4 6.0
xen18-erlich-injera-26 26 12 9.8
edo-26 26 4 10.1
xen18-erlich-lemba-26 26 1 10.2
xen18-erlich-flattone-26 26 23 17.0
xen18-erlich-cynder-26 26 4 18.2

Parent scales

FileNotesMax diff (¢)
xen18-erlich-injera-38 38 11.7
xen18-erlich-lemba-42 42 10.2
edo-45 45 10.3
thunor46 46 10.1
xen18-erlich-beatles-27 27 18.8
edo-27 27 19.2
edo-42 42 13.1
edo-52 52 10.1
xen18-erlich-tetracot-41 41 13.8
edo-40 40 14.2

Child scales

FileNotesMax diff (¢)
xen15-gilson-generalized-pythagorean-7-4-5 5 0.0
CD09_14_Egypt 6 4.6
xen09-chalmers-tritriadic-9-13-10 7 6.9
xen18-ayers-table-47 5 8.0
Ethiopia_Mus_01_Yammatbal 5 8.1
xen12-wilson-09-4C2-hexany-01 6 8.4
xen12-chalmers-tritriadic-dm-27-9-5 7 8.4
cupid 10 8.9
synpor2 7 9.3
synpor3 7 9.3

Raw file

! xen15-gilson-generalized-pythagorean-7-4-26.scl
!
Generalized Pythagorean Scale, 7/4 stacked 26=21+5 times
 26
!
 16807/16384           !   37 moc
 282475249/268435456   !   74 moc
 132.388597            !  110 moc
 176.518129            !  147 moc
 220.647662            !  184 moc
 2401/2048             !  229 moc
 40353607/33554432     !  266 moc
 363.562691            !  303 moc
 407.692223            !  340 moc
 451.821755            !  377 moc
 343/256               !  422 moc
 5764801/4194304       !  459 moc
 594.736784            !  496 moc
 638.866316            !  532 moc
 682.995849            !  569 moc
 49/32                 !  615 moc
 823543/524288         !  651 moc
 825.910878            !  688 moc
 870.04041             !  725 moc
 914.169942            !  762 moc
 7/4                   !  807 moc
 117649/65536          !  844 moc
 1977326743/1073741824 !  881 moc
 1101.214504           !  918 moc
 1145.344036           !  954 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