xen15-gilson-generalized-pythagorean-11-8-24

Generalized Pythagorean Scale, 11/8 stacked 24=11+13 times

Open in Scale Workshop Scala analysis Download scl

Properties

Notes24
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 (¢)
64 64
129 64
162 33
226 64
259 33
324 64
357 33
421 64
454 33
518 64
551 33
616 64
680 64
713 33
778 64
811 33
875 64
908 33
972 64
1005 33
1070 64
1103 33
1167 64
1200 33

Similar scales

FileNotesRotationMax diff (¢)
bala_ribbon24 24 13 20.6
xenogj24 24 11 22.4
monzo_pyth-quartertone 24 2 22.4
tsaharuk24 24 12 23.8
jiri24a 24 20 24.0
julius24 24 11 24.4

Parent scales

FileNotesMax diff (¢)
xen15-gilson-generalized-pythagorean-11-8-37 37 0.0
edo-37 37 0.8
xen18-erlich-porcupine-37 37 11.7
monzoblock37 37 14.4
31edo-top 31 17.4
43-46 43 12.8
edo-36 36 15.8
diasynch34 34 16.7
xen18-erlich-wurschmidt-31 31 18.1
xen18-erlich-tetracot-34 34 16.8

Child scales

FileNotesMax diff (¢)
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
Ethiopia_AI_512_20_1939 5 5.8
Indonesia_Udanriris 5 10.0
met24-pentatonic-proper_5-prime_F 5 10.1
Ethiopia_Mus_01_Bati_Zafan 5 11.2
pentatonic-proper_5-prime 5 11.2
Ethiopia_Mus_04_Bati_Zafan 5 11.5
Ethiopia_AI_513_121_1939 5 11.6

Raw file

! xen15-gilson-generalized-pythagorean-11-8-24.scl
!
Generalized Pythagorean Scale, 11/8 stacked 24=11+13 times
 24
!
 64.497366           !   54 moc
 128.994732          !  107 moc
 161.861481          !  135 moc
 226.358847          !  189 moc
 19487171/16777216   !  216 moc
 323.722963          !  270 moc
 161051/131072       !  297 moc
 421.087078          !  351 moc
 1331/1024           !  378 moc
 518.451193          !  432 moc
 11/8                !  459 moc
 615.815308          !  513 moc
 680.312674          !  567 moc
 713.179424          !  594 moc
 777.67679           !  648 moc
 214358881/134217728 !  675 moc
 875.040905          !  729 moc
 1771561/1048576     !  757 moc
 972.40502           !  810 moc
 14641/8192          !  838 moc
 1069.769135         !  891 moc
 121/64              !  919 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