xen12-hanson-13-three-ogdoadic-diamonds
3 Ogdoadic Diamonds (at 1/1, 4/3 & 3/2), Figure 13
Properties
| 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
Child scales
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