xen12-hanson-13-three-ogdoadic-diamonds

3 Ogdoadic Diamonds (at 1/1, 4/3 & 3/2), Figure 13

Properties

Notes91
Period1200.0 ¢
Just13-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 (¢)
45/44 39 45/44 39
40/39 44 352/351 5
33/32 53 1287/1280 9
28/27 63 896/891 10
27/26 65 729/728 2
22/21 81 572/567 15
21/20 84 441/440 4
16/15 112 64/63 27
15/14 119 225/224 8
14/13 128 196/195 9
13/12 139 169/168 10
12/11 151 144/143 12
11/10 165 121/120 14
10/9 182 100/99 17
9/8 204 81/80 22
44/39 209 352/351 5
8/7 231 78/77 22
15/13 248 105/104 17
52/45 250 676/675 3
7/6 267 105/104 17
33/28 284 99/98 18
13/11 289 364/363 5
32/27 294 352/351 5
6/5 316 81/80 22
40/33 333 100/99 17
39/32 342 1287/1280 9
11/9 347 352/351 5
27/22 355 243/242 7
16/13 359 352/351 5
26/21 370 169/168 10
56/45 379 196/195 9
5/4 386 225/224 8
33/26 413 66/65 26
14/11 418 364/363 5
9/7 435 99/98 18
13/10 454 91/90 19
21/16 471 105/104 17
4/3 498 64/63 27
27/20 520 81/80 22
15/11 537 100/99 17
11/8 551 121/120 14
18/13 563 144/143 12
39/28 574 169/168 10
7/5 583 196/195 9
45/32 590 225/224 8
64/45 610 2048/2025 20
10/7 617 225/224 8
56/39 626 196/195 9
13/9 637 169/168 10
16/11 649 144/143 12
22/15 663 121/120 14
40/27 680 100/99 17
3/2 702 81/80 22
32/21 729 64/63 27
20/13 746 105/104 17
14/9 765 91/90 19
11/7 782 99/98 18
52/33 787 364/363 5
8/5 814 66/65 26
45/28 821 225/224 8
21/13 830 196/195 9
13/8 841 169/168 10
44/27 845 352/351 5
18/11 853 243/242 7
64/39 858 352/351 5
33/20 867 1287/1280 9
5/3 884 100/99 17
27/16 906 81/80 22
22/13 911 352/351 5
56/33 916 364/363 5
12/7 933 99/98 18
45/26 950 105/104 17
26/15 952 676/675 3
7/4 969 105/104 17
39/22 991 78/77 22
16/9 996 352/351 5
9/5 1018 81/80 22
20/11 1035 100/99 17
11/6 1049 121/120 14
24/13 1061 144/143 12
13/7 1072 169/168 10
28/15 1081 196/195 9
15/8 1088 225/224 8
40/21 1116 64/63 27
21/11 1119 441/440 4
52/27 1135 572/567 15
27/14 1137 729/728 2
64/33 1147 896/891 10
39/20 1156 1287/1280 9
88/45 1161 352/351 5
2/1 1200 45/44 39

Parent scales

FileNotesMax diff (¢)
xen18-erlich-ennealimmal-99 99 5.9
trikelismic102 102 7.5
poole100 100 16.6

Child scales

FileNotesMax diff (¢)
xen12-hanson-12-ogdoadic-diamond 49 0.0
sk13 41 0.0
xen07-forster-diamond 41 0.0
partch-29-av 29 0.0
xen12-wilson-14-diamond 29 0.0
perz 27 0.0
sensidia 27 0.0
xen12-wilson-42-ogdoadic-tileburst-4 27 0.0
cons21 24 0.0
meandia 21 0.0

Raw file

! xen12-hanson-13-three-ogdoadic-diamonds.scl
!
3 Ogdoadic Diamonds (at 1/1, 4/3 & 3/2), Figure 13
 91
!
 45/44
 40/39
 33/32
 28/27
 27/26
 22/21
 21/20
 16/15
 15/14
 14/13
 13/12
 12/11
 11/10
 10/9
 9/8
 44/39
 8/7
 15/13
 52/45
 7/6
 33/28
 13/11
 32/27
 6/5
 40/33
 39/32
 11/9
 27/22
 16/13
 26/21
 56/45
 5/4
 33/26
 14/11
 9/7
 13/10
 21/16
 4/3
 27/20
 15/11
 11/8
 18/13
 39/28
 7/5
 45/32
 64/45
 10/7
 56/39
 13/9
 16/11
 22/15
 40/27
 3/2
 32/21
 20/13
 14/9
 11/7
 52/33
 8/5
 45/28
 21/13
 13/8
 44/27
 18/11
 64/39
 33/20
 5/3
 27/16
 22/13
 56/33
 12/7
 45/26
 26/15
 7/4
 39/22
 16/9
 9/5
 20/11
 11/6
 24/13
 13/7
 28/15
 15/8
 40/21
 21/11
 52/27
 27/14
 64/33
 39/20
 88/45
 2/1
!
! Larry A. Hanson
! Development of a 53-Tone Keyboard Layout
! Xenharmonikon 12 (1989)
!
! [info]
! source = Xenharmonikon
! whole_number = 12