xen12-hanson-06-53-just

53 tones, tonal function, Figure 6

Open in Scale Workshop Scala analysis Download scl

Properties

Notes53
Period1200.0 ¢
Just5-limit
Source Xenharmonikon 12
ReferenceLarry A. Hanson, Development of a 53-Tone Keyboard Layout, Xenharmonikon 12 (1989)
AuthorLarry A. Hanson
Read onlineanaphoria.com
Article10 scales
Tone Tone (¢) Step Step (¢)
81/80 22 81/80 22
250/243 49 20000/19683 28
25/24 71 81/80 22
135/128 92 81/80 22
16/15 112 2048/2025 20
27/25 133 81/80 22
2187/2000 155 81/80 22
10/9 182 20000/19683 28
9/8 204 81/80 22
256/225 223 2048/2025 20
144/125 245 81/80 22
729/625 266 81/80 22
32/27 294 20000/19683 28
6/5 316 81/80 22
243/200 337 81/80 22
100/81 365 20000/19683 28
5/4 386 81/80 22
81/64 408 81/80 22
625/486 435 20000/19683 28
125/96 457 81/80 22
320/243 477 2048/2025 20
4/3 498 81/80 22
27/20 520 81/80 22
1000/729 547 20000/19683 28
25/18 569 81/80 22
45/32 590 81/80 22
64/45 610 2048/2025 20
36/25 631 81/80 22
729/500 653 81/80 22
40/27 680 20000/19683 28
3/2 702 81/80 22
243/160 723 81/80 22
125/81 751 20000/19683 28
25/16 773 81/80 22
128/81 792 2048/2025 20
8/5 814 81/80 22
81/50 835 81/80 22
400/243 863 20000/19683 28
5/3 884 81/80 22
27/16 906 81/80 22
1250/729 934 20000/19683 28
125/72 955 81/80 22
225/128 977 81/80 22
16/9 996 2048/2025 20
9/5 1018 81/80 22
729/400 1039 81/80 22
50/27 1067 20000/19683 28
15/8 1088 81/80 22
256/135 1108 2048/2025 20
48/25 1129 81/80 22
243/125 1151 81/80 22
160/81 1178 20000/19683 28
2/1 1200 81/80 22

Similar scales

FileNotesRotationMax diff (¢)
septenarian53well 53 8 4.3
Spa53tone256Hz 53 15 4.6
SpDyadRat53 53 13 4.9
SpDyadRat53_tuning_89066_89410 53 13 4.9
amity53pure 53 30 4.9
Sp53via19lim 53 39 5.0
SpaRational53Coll 53 44 5.1
edo-53 53 24 5.3
xen18-erlich-hanson-53 53 23 5.3
Sp53Ragismatic 53 39 5.4

Parent scales

FileNotesMax diff (¢)
edo-57 57 8.1
wookie58 58 8.1
edo-54 54 9.9
edo-65 65 8.0
edo-55 55 10.5
edo-63 63 8.5
edo-56 56 10.5
edo-58 58 10.1
edo-68 68 7.9
edo-60 60 9.8

Child scales

FileNotesMax diff (¢)
indianred 22 0.0
xen12-hanson-06-basic-just 19 0.0
dwarf17_5 17 0.0
xen02-wilson-arabic 17 0.0
zarlin16 16 0.0
Descartes_Hexa 12 0.0
MersenneStar 12 0.0
cw12_5 12 0.0
dodek 12 0.0
duodene 12 0.0

Raw file

! xen12-hanson-06-53-just.scl
!
53 tones, tonal function, Figure 6
 53
!
 81/80
 250/243
 25/24
 135/128
 16/15
 27/25
 2187/2000
 10/9
 9/8
 256/225   ! or 729/640
 144/125
 729/625
 32/27
 6/5
 243/200
 100/81
 5/4
 81/64
 625/486
 125/96
 320/243   ! or 675/512
 4/3
 27/20
 1000/729
 25/18
 45/32
 64/45
 36/25
 729/500
 40/27
 3/2
 243/160
 125/81
 25/16
 128/81    ! or 405/256
 8/5
 81/50
 400/243
 5/3
 27/16
 1250/729
 125/72
 225/128
 16/9
 9/5
 729/400
 50/27
 15/8
 256/135   ! or 243/128
 48/25
 243/125
 160/81
 2/1
!
! Larry A. Hanson
! Development of a 53-Tone Keyboard Layout
! Xenharmonikon 12 (1989)
!
! [info]
! source = Xenharmonikon
! whole_number = 12