Chords of rodan
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Below are listed the dyadic chords of 11-limit rodan temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 441/440 are werckismic, by 385/384 keenanismic, by 896/891 pentacircle, by 245/243 sensamagic. Those requiring tempering by both 385/384 and 245/243 are labeled sensamagic11, and those requiring both 441/440 and 896/891 pele.
Triads
Number | Chord | Transversal | Type |
---|---|---|---|
1 | 0-1-4 | 1-8/7-12/7 | otonal |
2 | 0-3-4 | 1-3/2-12/7 | utonal |
3 | 0-3-6 | 1-3/2-9/8 | ambitonal |
4 | 0-1-7 | 1-8/7-9/7 | otonal |
5 | 0-3-7 | 1-3/2-9/7 | utonal |
6 | 0-4-7 | 1-12/7-9/7 | otonal |
7 | 0-6-7 | 1-9/8-9/7 | utonal |
8 | 0-4-11 | 1-12/7-10/9 | sensamagic |
9 | 0-7-11 | 1-9/7-10/9 | sensamagic |
10 | 0-1-12 | 1-8/7-14/11 | werckismic |
11 | 0-6-12 | 1-9/8-14/11 | pentacircle |
12 | 0-11-12 | 1-10/9-14/11 | werckismic |
13 | 0-1-13 | 1-8/7-16/11 | utonal |
14 | 0-6-13 | 1-9/8-16/11 | pentacircle |
15 | 0-7-13 | 1-9/7-16/11 | pentacircle |
16 | 0-12-13 | 1-14/11-16/11 | otonal |
17 | 0-1-14 | 1-8/7-5/3 | keenanismic |
18 | 0-3-14 | 1-3/2-5/3 | otonal |
19 | 0-7-14 | 1-9/7-5/3 | sensamagic |
20 | 0-11-14 | 1-10/9-5/3 | utonal |
21 | 0-13-14 | 1-16/11-5/3 | keenanismic |
22 | 0-3-16 | 1-3/2-12/11 | utonal |
23 | 0-4-16 | 1-12/7-12/11 | utonal |
24 | 0-12-16 | 1-14/11-12/11 | otonal |
25 | 0-13-16 | 1-16/11-12/11 | otonal |
26 | 0-1-17 | 1-8/7-5/4 | keenanismic |
27 | 0-3-17 | 1-3/2-5/4 | otonal |
28 | 0-4-17 | 1-12/7-5/4 | keenanismic |
29 | 0-6-17 | 1-9/8-5/4 | otonal |
30 | 0-11-17 | 1-10/9-5/4 | utonal |
31 | 0-13-17 | 1-16/11-5/4 | keenanismic |
32 | 0-14-17 | 1-5/3-5/4 | utonal |
33 | 0-16-17 | 1-12/11-5/4 | keenanismic |
34 | 0-1-18 | 1-8/7-10/7 | otonal |
35 | 0-4-18 | 1-12/7-10/7 | otonal |
36 | 0-6-18 | 1-9/8-10/7 | werckismic |
37 | 0-7-18 | 1-9/7-10/7 | otonal |
38 | 0-11-18 | 1-10/9-10/7 | utonal |
39 | 0-12-18 | 1-14/11-10/7 | werckismic |
40 | 0-14-18 | 1-5/3-10/7 | utonal |
41 | 0-17-18 | 1-5/4-10/7 | utonal |
42 | 0-1-19 | 1-8/7-18/11 | werckismic |
43 | 0-3-19 | 1-3/2-18/11 | utonal |
44 | 0-6-19 | 1-9/8-18/11 | utonal |
45 | 0-7-19 | 1-9/7-18/11 | utonal |
46 | 0-12-19 | 1-14/11-18/11 | otonal |
47 | 0-13-19 | 1-16/11-18/11 | otonal |
48 | 0-16-19 | 1-12/11-18/11 | otonal |
49 | 0-18-19 | 1-10/7-18/11 | werckismic |
50 | 0-11-30 | 1-10/9-20/11 | utonal |
51 | 0-12-30 | 1-14/11-20/11 | otonal |
52 | 0-13-30 | 1-16/11-20/11 | otonal |
53 | 0-14-30 | 1-5/3-20/11 | utonal |
54 | 0-16-30 | 1-12/11-20/11 | otonal |
55 | 0-17-30 | 1-5/4-20/11 | utonal |
56 | 0-18-30 | 1-10/7-20/11 | utonal |
57 | 0-19-30 | 1-18/11-20/11 | otonal |
Tetrads
Number | Chord | Transversal | Type |
---|---|---|---|
1 | 0-1-4-7 | 1-8/7-12/7-9/7 | otonal |
2 | 0-3-4-7 | 1-3/2-12/7-9/7 | ambitonal |
3 | 0-3-6-7 | 1-3/2-9/8-9/7 | utonal |
4 | 0-4-7-11 | 1-12/7-9/7-10/9 | sensamagic |
5 | 0-1-7-13 | 1-8/7-9/7-16/11 | pentacircle |
6 | 0-6-7-13 | 1-9/8-9/7-16/11 | pentacircle |
7 | 0-1-12-13 | 1-8/7-14/11-16/11 | werckismic |
8 | 0-6-12-13 | 1-9/8-14/11-16/11 | pentacircle |
9 | 0-1-7-14 | 1-8/7-9/7-5/3 | sensamagic11 |
10 | 0-3-7-14 | 1-3/2-9/7-5/3 | sensamagic |
11 | 0-7-11-14 | 1-9/7-10/9-5/3 | sensamagic |
12 | 0-1-13-14 | 1-8/7-16/11-5/3 | keenanismic |
13 | 0-7-13-14 | 1-9/7-16/11-5/3 | sensamagic11 |
14 | 0-3-4-16 | 1-3/2-12/7-12/11 | utonal |
15 | 0-12-13-16 | 1-14/11-16/11-12/11 | otonal |
16 | 0-1-4-17 | 1-8/7-12/7-5/4 | keenanismic |
17 | 0-3-4-17 | 1-3/2-12/7-5/4 | keenanismic |
18 | 0-3-6-17 | 1-3/2-9/8-5/4 | otonal |
19 | 0-4-11-17 | 1-12/7-10/9-5/4 | sensamagic11 |
20 | 0-1-13-17 | 1-8/7-16/11-5/4 | keenanismic |
21 | 0-6-13-17 | 1-9/8-16/11-5/4 | sensamagic11 |
22 | 0-1-14-17 | 1-8/7-5/3-5/4 | keenanismic |
23 | 0-3-14-17 | 1-3/2-5/3-5/4 | ambitonal |
24 | 0-11-14-17 | 1-10/9-5/3-5/4 | utonal |
25 | 0-13-14-17 | 1-16/11-5/3-5/4 | keenanismic |
26 | 0-3-16-17 | 1-3/2-12/11-5/4 | keenanismic |
27 | 0-4-16-17 | 1-12/7-12/11-5/4 | keenanismic |
28 | 0-13-16-17 | 1-16/11-12/11-5/4 | keenanismic |
29 | 0-1-4-18 | 1-8/7-12/7-10/7 | otonal |
30 | 0-1-7-18 | 1-8/7-9/7-10/7 | otonal |
31 | 0-4-7-18 | 1-12/7-9/7-10/7 | otonal |
32 | 0-6-7-18 | 1-9/8-9/7-10/7 | werckismic |
33 | 0-4-11-18 | 1-12/7-10/9-10/7 | sensamagic |
34 | 0-7-11-18 | 1-9/7-10/9-10/7 | sensamagic |
35 | 0-1-12-18 | 1-8/7-14/11-10/7 | werckismic |
36 | 0-6-12-18 | 1-9/8-14/11-10/7 | pele |
37 | 0-11-12-18 | 1-10/9-14/11-10/7 | werckismic |
38 | 0-1-14-18 | 1-8/7-5/3-10/7 | keenanismic |
39 | 0-7-14-18 | 1-9/7-5/3-10/7 | sensamagic |
40 | 0-11-14-18 | 1-10/9-5/3-10/7 | utonal |
41 | 0-1-17-18 | 1-8/7-5/4-10/7 | keenanismic |
42 | 0-4-17-18 | 1-12/7-5/4-10/7 | keenanismic |
43 | 0-6-17-18 | 1-9/8-5/4-10/7 | werckismic |
44 | 0-11-17-18 | 1-10/9-5/4-10/7 | utonal |
45 | 0-14-17-18 | 1-5/3-5/4-10/7 | utonal |
46 | 0-3-6-19 | 1-3/2-9/8-18/11 | utonal |
47 | 0-1-7-19 | 1-8/7-9/7-18/11 | werckismic |
48 | 0-3-7-19 | 1-3/2-9/7-18/11 | utonal |
49 | 0-6-7-19 | 1-9/8-9/7-18/11 | utonal |
50 | 0-1-12-19 | 1-8/7-14/11-18/11 | werckismic |
51 | 0-6-12-19 | 1-9/8-14/11-18/11 | pentacircle |
52 | 0-1-13-19 | 1-8/7-16/11-18/11 | werckismic |
53 | 0-6-13-19 | 1-9/8-16/11-18/11 | pentacircle |
54 | 0-7-13-19 | 1-9/7-16/11-18/11 | pentacircle |
55 | 0-12-13-19 | 1-14/11-16/11-18/11 | otonal |
56 | 0-3-16-19 | 1-3/2-12/11-18/11 | ambitonal |
57 | 0-12-16-19 | 1-14/11-12/11-18/11 | otonal |
58 | 0-13-16-19 | 1-16/11-12/11-18/11 | otonal |
59 | 0-1-18-19 | 1-8/7-10/7-18/11 | werckismic |
60 | 0-6-18-19 | 1-9/8-10/7-18/11 | werckismic |
61 | 0-7-18-19 | 1-9/7-10/7-18/11 | werckismic |
62 | 0-12-18-19 | 1-14/11-10/7-18/11 | werckismic |
63 | 0-11-12-30 | 1-10/9-14/11-20/11 | werckismic |
64 | 0-12-13-30 | 1-14/11-16/11-20/11 | otonal |
65 | 0-11-14-30 | 1-10/9-5/3-20/11 | utonal |
66 | 0-13-14-30 | 1-16/11-5/3-20/11 | keenanismic |
67 | 0-12-16-30 | 1-14/11-12/11-20/11 | otonal |
68 | 0-13-16-30 | 1-16/11-12/11-20/11 | otonal |
69 | 0-11-17-30 | 1-10/9-5/4-20/11 | utonal |
70 | 0-13-17-30 | 1-16/11-5/4-20/11 | keenanismic |
71 | 0-14-17-30 | 1-5/3-5/4-20/11 | utonal |
72 | 0-16-17-30 | 1-12/11-5/4-20/11 | keenanismic |
73 | 0-11-18-30 | 1-10/9-10/7-20/11 | utonal |
74 | 0-12-18-30 | 1-14/11-10/7-20/11 | werckismic |
75 | 0-14-18-30 | 1-5/3-10/7-20/11 | utonal |
76 | 0-17-18-30 | 1-5/4-10/7-20/11 | utonal |
77 | 0-12-19-30 | 1-14/11-18/11-20/11 | otonal |
78 | 0-13-19-30 | 1-16/11-18/11-20/11 | otonal |
79 | 0-16-19-30 | 1-12/11-18/11-20/11 | otonal |
80 | 0-18-19-30 | 1-10/7-18/11-20/11 | werckismic |
Pentads
Number | Chord | Transversal | Type |
---|---|---|---|
1 | 0-1-7-13-14 | 1-8/7-9/7-16/11-5/3 | sensamagic11 |
2 | 0-1-13-14-17 | 1-8/7-16/11-5/3-5/4 | keenanismic |
3 | 0-3-4-16-17 | 1-3/2-12/7-12/11-5/4 | keenanismic |
4 | 0-1-4-7-18 | 1-8/7-12/7-9/7-10/7 | otonal |
5 | 0-4-7-11-18 | 1-12/7-9/7-10/9-10/7 | sensamagic |
6 | 0-1-7-14-18 | 1-8/7-9/7-5/3-10/7 | sensamagic11 |
7 | 0-7-11-14-18 | 1-9/7-10/9-5/3-10/7 | sensamagic |
8 | 0-1-4-17-18 | 1-8/7-12/7-5/4-10/7 | keenanismic |
9 | 0-4-11-17-18 | 1-12/7-10/9-5/4-10/7 | sensamagic11 |
10 | 0-1-14-17-18 | 1-8/7-5/3-5/4-10/7 | keenanismic |
11 | 0-11-14-17-18 | 1-10/9-5/3-5/4-10/7 | utonal |
12 | 0-3-6-7-19 | 1-3/2-9/8-9/7-18/11 | utonal |
13 | 0-1-7-13-19 | 1-8/7-9/7-16/11-18/11 | pele |
14 | 0-6-7-13-19 | 1-9/8-9/7-16/11-18/11 | pentacircle |
15 | 0-1-12-13-19 | 1-8/7-14/11-16/11-18/11 | werckismic |
16 | 0-6-12-13-19 | 1-9/8-14/11-16/11-18/11 | pentacircle |
17 | 0-12-13-16-19 | 1-14/11-16/11-12/11-18/11 | otonal |
18 | 0-1-7-18-19 | 1-8/7-9/7-10/7-18/11 | werckismic |
19 | 0-6-7-18-19 | 1-9/8-9/7-10/7-18/11 | werckismic |
20 | 0-1-12-18-19 | 1-8/7-14/11-10/7-18/11 | werckismic |
21 | 0-6-12-18-19 | 1-9/8-14/11-10/7-18/11 | pele |
22 | 0-12-13-16-30 | 1-14/11-16/11-12/11-20/11 | otonal |
23 | 0-11-14-17-30 | 1-10/9-5/3-5/4-20/11 | utonal |
24 | 0-13-14-17-30 | 1-16/11-5/3-5/4-20/11 | keenanismic |
25 | 0-13-16-17-30 | 1-16/11-12/11-5/4-20/11 | keenanismic |
26 | 0-11-12-18-30 | 1-10/9-14/11-10/7-20/11 | werckismic |
27 | 0-11-14-18-30 | 1-10/9-5/3-10/7-20/11 | utonal |
28 | 0-11-17-18-30 | 1-10/9-5/4-10/7-20/11 | utonal |
29 | 0-14-17-18-30 | 1-5/3-5/4-10/7-20/11 | utonal |
30 | 0-12-13-19-30 | 1-14/11-16/11-18/11-20/11 | otonal |
31 | 0-12-16-19-30 | 1-14/11-12/11-18/11-20/11 | otonal |
32 | 0-13-16-19-30 | 1-16/11-12/11-18/11-20/11 | otonal |
33 | 0-12-18-19-30 | 1-14/11-10/7-18/11-20/11 | werckismic |
Hexads
Number | Chord | Transversal | Type |
---|---|---|---|
1 | 0-11-14-17-18-30 | 1-10/9-5/3-5/4-10/7-20/11 | utonal |
2 | 0-12-13-16-19-30 | 1-14/11-16/11-12/11-18/11-20/11 | otonal |