Below are listed the dyadic chords of 11-limit miracle temperament. They are listed in order of increasing Graham complexity, with hash complexity used to break ties. For any linear temperament, if we chose a generator, we may put any octave-equivalent chord of the temperament in a canonical form by representing it as a set of nonnegative integers, starting with 0, which are the number of generator steps giving an octave-equivalent note class in the chord. If S is such a set, the sum Σ 2^s for all s∊S provides a unique odd number encoding the chord, and the logarithm base two of this number is the hash complexity, listed under the heading "Hash" below. The floor of hash complexity, that is, the greatest integer less than the hash complexity, is equal to the Graham complexity. The heading "transversal" shows a JI chord whose intervals temper to the marvel chord. Under "type" it says otonal if it is an essentially just chord best understood in terms of the overtone series, utonal if it is the inversion of an otonal chord, and ambitonal if it can equally well be seen as otonal or utonal. The other names denote types of essentially tempered chord, giving the least amount of tempering needed to define the chord, so that if for example it says "werckismic" only 441/440 needs to be tempered out. Also, "marvel" denotes 9 odd limit (7-limit) marvel, whereas "unimarvel" means 11-limit marvel. The generator used below is the standard choice for miracle temperament, the secor. 16/15~15/14. However, it should be noted that the choice of generator does not effect the list of chords, only how those chords are interpreted. Does 0-7-13 denote the major triad or the minor triad? It's on the list of chords either way, but with a secor generator it's the major triad.
Each of the triads below has three "inversions", i.e., can be written starting on any one of the three tones in the triad.
Note that the tones in the triad are noted in order of generator steps, not pitch. For example, look at triad #21. 1/1 - 8/5 - 6/5 is listed in order of generator steps, 0 - 7 - 13. Seven generator steps, or 8/5, is 813.7 cents. Thirteen generator steps, or 6/5, is 315.6 cents. If you put the triad in pitch order, you get 1/1 - 6/5 - 8/5, or 0.0 - 315.6 - 813.7 cents.
Also note that you won't see the traditional five-limit major triad, 1/1 - 5/4 - 3/2 in this list. That's because this list contains an inversion of the five-limit major triad: number 21. 1/1 - 6/5 - 8/5 is the first inversion of 1/1 - 5/4 - 3/2. In other words, to get the major chord from the list below, you need to take the second inversion of triad 21. The same may be true of other triads you're interested in.
All three inversions for all 63 chords are notated in this PDF (uses 41 EDO sagittal notation) and can be heard using piano, oud, or sine wave timbres (all links in MP3 format and tuned to 41 EDO). Finally, here is a tuned MIDI file. The sequence is: chord as outlined in the list below, first inversion, second inversion, quarter-note rest.
| Number
|
Chord
|
Transversal
|
Type
|
Hash
|
| 1
|
0-2-5
|
1-8/7-7/5
|
werckismic
|
5.209453
|
| 2
|
0-3-5
|
1-11/9-7/5
|
werckismic
|
5.357552
|
| 3
|
0-3-6
|
1-11/9-3/2
|
rastmic
|
6.189825
|
| 4
|
0-2-7
|
1-8/7-8/5
|
utonal
|
7.055282
|
| 5
|
0-5-7
|
1-7/5-8/5
|
otonal
|
7.330917
|
| 6
|
0-2-8
|
1-8/7-12/7
|
otonal
|
8.027906
|
| 7
|
0-3-8
|
1-11/9-12/7
|
swetismic
|
8.049849
|
| 8
|
0-5-8
|
1-7/5-12/7
|
swetismic
|
8.174926
|
| 9
|
0-6-8
|
1-3/2-12/7
|
utonal
|
8.326429
|
| 10
|
0-2-9
|
1-8/7-11/6
|
keenanismic
|
9.014020
|
| 11
|
0-3-9
|
1-11/9-11/6
|
utonal
|
9.025140
|
| 12
|
0-6-9
|
1-3/2-11/6
|
otonal
|
9.172428
|
| 13
|
0-7-9
|
1-8/5-11/6
|
keenanismic
|
9.324181
|
| 14
|
0-3-12
|
1-11/9-9/8
|
rastmic
|
12.003167
|
| 15
|
0-5-12
|
1-7/5-9/8
|
marvel
|
12.011577
|
| 16
|
0-6-12
|
1-3/2-9/8
|
ambitonal
|
12.022715
|
| 17
|
0-7-12
|
1-8/5-9/8
|
marvel
|
12.044736
|
| 18
|
0-9-12
|
1-11/6-9/8
|
rastmic
|
12.170238
|
| 19
|
0-5-13
|
1-7/5-6/5
|
otonal
|
13.005800
|
| 20
|
0-6-13
|
1-3/2-6/5
|
utonal
|
13.011402
|
| 21
|
0-7-13
|
1-8/5-6/5
|
otonal
|
13.022541
|
| 22
|
0-8-13
|
1-12/7-6/5
|
utonal
|
13.044565
|
| 23
|
0-2-14
|
1-8/7-9/7
|
otonal
|
14.000440
|
| 24
|
0-5-14
|
1-7/5-9/7
|
swetismic
|
14.002903
|
| 25
|
0-6-14
|
1-3/2-9/7
|
utonal
|
14.005712
|
| 26
|
0-7-14
|
1-8/5-9/7
|
marvel
|
14.011315
|
| 27
|
0-8-14
|
1-12/7-9/7
|
otonal
|
14.022455
|
| 28
|
0-9-14
|
1-11/6-9/7
|
swetismic
|
14.04448
|
| 29
|
0-12-14
|
1-9/8-9/7
|
utonal
|
14.321999
|
| 30
|
0-2-15
|
1-8/7-11/8
|
keenanismic
|
15.000220
|
| 31
|
0-3-15
|
1-11/9-11/8
|
utonal
|
15.000396
|
| 32
|
0-6-15
|
1-3/2-11/8
|
otonal
|
15.002859
|
| 33
|
0-7-15
|
1-8/5-11/8
|
keenanismic
|
15.005660
|
| 34
|
0-8-15
|
1-12/7-11/8
|
keenanismic
|
15.011271
|
| 35
|
0-9-15
|
1-11/6-11/8
|
utonal
|
15.022411
|
| 36
|
0-12-15
|
1-9/8-11/8
|
otonal
|
15.169964
|
| 37
|
0-13-15
|
1-6/5-11/8
|
keenanismic
|
15.321963
|
| 38
|
0-2-17
|
1-8/7-11/7
|
otonal
|
17.000055
|
| 39
|
0-3-17
|
1-11/9-11/7
|
utonal
|
17.000099
|
| 40
|
0-5-17
|
1-7/5-11/7
|
werckismic
|
17.000363
|
| 41
|
0-8-17
|
1-12/7-11/7
|
otonal
|
17.002826
|
| 42
|
0-9-17
|
1-11/6-11/7
|
utonal
|
17.005636
|
| 43
|
0-12-17
|
1-9/8-11/7
|
werckismic
|
17.0444
|
| 44
|
0-14-17
|
1-9/7-11/7
|
otonal
|
17.169935
|
| 45
|
0-15-17
|
1-11/8-11/7
|
utonal
|
17.321937
|
| 46
|
0-2-19
|
1-8/7-9/5
|
werckismic
|
19.000014
|
| 47
|
0-5-19
|
1-7/5-9/5
|
otonal
|
19.000091
|
| 48
|
0-6-19
|
1-3/2-9/5
|
utonal
|
19.000179
|
| 49
|
0-7-19
|
1-8/5-9/5
|
otonal
|
19.000355
|
| 50
|
0-12-19
|
1-9/8-9/5
|
utonal
|
19.011230
|
| 51
|
0-13-19
|
1-6/5-9/5
|
otonal
|
19.022371
|
| 52
|
0-14-19
|
1-9/7-9/5
|
utonal
|
19.044397
|
| 53
|
0-17-19
|
1-11/7-9/5
|
werckismic
|
19.321930
|
| 54
|
0-3-22
|
1-11/9-11/10
|
utonal
|
22.000003
|
| 55
|
0-5-22
|
1-7/5-11/10
|
otonal
|
22.000011
|
| 56
|
0-7-22
|
1-8/5-11/10
|
otonal
|
22.000044
|
| 57
|
0-8-22
|
1-12/7-11/10
|
swetismic
|
22.000088
|
| 58
|
0-9-22
|
1-11/6-11/10
|
utonal
|
22.000176
|
| 59
|
0-13-22
|
1-6/5-11/10
|
otonal
|
22.002815
|
| 60
|
0-14-22
|
1-9/7-11/10
|
swetismic
|
22.005625
|
| 61
|
0-15-22
|
1-11/8-11/10
|
utonal
|
22.011228
|
| 62
|
0-17-22
|
1-11/7-11/10
|
utonal
|
22.044394
|
| 63
|
0-19-22
|
1-9/5-11/10
|
otonal
|
22.169925
|
Tetrads[edit]
| Number
|
Chord
|
Transversal
|
Type
|
Hash
|
| 1
|
0-2-5-7
|
1-8/7-7/5-8/5
|
werckismic
|
7.366322
|
| 2
|
0-2-5-8
|
1-8/7-7/5-12/7
|
jove
|
8.194757
|
| 3
|
0-3-5-8
|
1-11/9-7/5-12/7
|
jove
|
8.214319
|
| 4
|
0-3-6-8
|
1-11/9-3/2-12/7
|
jove
|
8.361944
|
| 5
|
0-3-6-9
|
1-11/9-3/2-11/6
|
rastmic
|
9.192293
|
| 6
|
0-2-7-9
|
1-8/7-8/5-11/6
|
keenanismic
|
9.333155
|
| 7
|
0-3-5-12
|
1-11/9-7/5-9/8
|
miracle
|
12.014369
|
| 8
|
0-3-6-12
|
1-11/9-3/2-9/8
|
rastmic
|
12.025486
|
| 9
|
0-5-7-12
|
1-7/5-8/5-9/8
|
marvel
|
12.055621
|
| 10
|
0-3-9-12
|
1-11/9-11/6-9/8
|
rastmic
|
12.172740
|
| 11
|
0-6-9-12
|
1-3/2-11/6-9/8
|
rastmic
|
12.190133
|
| 12
|
0-7-9-12
|
1-8/5-11/6-9/8
|
miracle
|
12.209758
|
| 13
|
0-5-7-13
|
1-7/5-8/5-6/5
|
otonal
|
13.028079
|
| 14
|
0-5-8-13
|
1-7/5-12/7-6/5
|
swetismic
|
13.050019
|
| 15
|
0-6-8-13
|
1-3/2-12/7-6/5
|
utonal
|
13.055452
|
| 16
|
0-2-5-14
|
1-8/7-7/5-9/7
|
jove
|
14.003254
|
| 17
|
0-2-7-14
|
1-8/7-8/5-9/7
|
marvel
|
14.011664
|
| 18
|
0-5-7-14
|
1-7/5-8/5-9/7
|
unimarvel
|
14.014108
|
| 19
|
0-2-8-14
|
1-8/7-12/7-9/7
|
otonal
|
14.022801
|
| 20
|
0-5-8-14
|
1-7/5-12/7-9/7
|
swetismic
|
14.025226
|
| 21
|
0-6-8-14
|
1-3/2-12/7-9/7
|
ambitonal
|
14.027992
|
| 22
|
0-2-9-14
|
1-8/7-11/6-9/7
|
unimarvel
|
14.044821
|
| 23
|
0-6-9-14
|
1-3/2-11/6-9/7
|
swetismic
|
14.049934
|
| 24
|
0-7-9-14
|
1-8/5-11/6-9/7
|
unimarvel
|
14.055367
|
| 25
|
0-5-12-14
|
1-7/5-9/8-9/7
|
unimarvel
|
14.324251
|
| 26
|
0-6-12-14
|
1-3/2-9/8-9/7
|
utonal
|
14.326500
|
| 27
|
0-7-12-14
|
1-8/5-9/8-9/7
|
marvel
|
14.330987
|
| 28
|
0-9-12-14
|
1-11/6-9/8-9/7
|
jove
|
14.357621
|
| 29
|
0-3-6-15
|
1-11/9-3/2-11/8
|
rastmic
|
15.003210
|
| 30
|
0-2-7-15
|
1-8/7-8/5-11/8
|
keenanismic
|
15.005844
|
| 31
|
0-2-8-15
|
1-8/7-12/7-11/8
|
keenanismic
|
15.011446
|
| 32
|
0-3-8-15
|
1-11/9-12/7-11/8
|
unimarvel
|
15.011620
|
| 33
|
0-6-8-15
|
1-3/2-12/7-11/8
|
keenanismic
|
15.014064
|
| 34
|
0-2-9-15
|
1-8/7-11/6-11/8
|
keenanismic
|
15.022585
|
| 35
|
0-3-9-15
|
1-11/9-11/6-11/8
|
utonal
|
15.022758
|
| 36
|
0-6-9-15
|
1-3/2-11/6-11/8
|
ambitonal
|
15.025183
|
| 37
|
0-7-9-15
|
1-8/5-11/6-11/8
|
keenanismic
|
15.027949
|
| 38
|
0-3-12-15
|
1-11/9-9/8-11/8
|
rastmic
|
15.170277
|
| 39
|
0-6-12-15
|
1-3/2-9/8-11/8
|
otonal
|
15.172467
|
| 40
|
0-7-12-15
|
1-8/5-9/8-11/8
|
unimarvel
|
15.174965
|
| 41
|
0-9-12-15
|
1-11/6-9/8-11/8
|
rastmic
|
15.189863
|
| 42
|
0-6-13-15
|
1-3/2-6/5-11/8
|
keenanismic
|
15.324216
|
| 43
|
0-7-13-15
|
1-8/5-6/5-11/8
|
keenanismic
|
15.326465
|
| 44
|
0-8-13-15
|
1-12/7-6/5-11/8
|
keenanismic
|
15.330952
|
| 45
|
0-2-5-17
|
1-8/7-7/5-11/7
|
werckismic
|
17.000407
|
| 46
|
0-3-5-17
|
1-11/9-7/5-11/7
|
werckismic
|
17.000451
|
| 47
|
0-2-8-17
|
1-8/7-12/7-11/7
|
otonal
|
17.002870
|
| 48
|
0-3-8-17
|
1-11/9-12/7-11/7
|
swetismic
|
17.002914
|
| 49
|
0-5-8-17
|
1-7/5-12/7-11/7
|
jove
|
17.003177
|
| 50
|
0-2-9-17
|
1-8/7-11/6-11/7
|
keenanismic
|
17.005679
|
| 51
|
0-3-9-17
|
1-11/9-11/6-11/7
|
utonal
|
17.005723
|
| 52
|
0-3-12-17
|
1-11/9-9/8-11/7
|
jove
|
17.044490
|
| 53
|
0-5-12-17
|
1-7/5-9/8-11/7
|
prodigy
|
17.044746
|
| 54
|
0-9-12-17
|
1-11/6-9/8-11/7
|
jove
|
17.049859
|
| 55
|
0-2-14-17
|
1-8/7-9/7-11/7
|
otonal
|
17.169974
|
| 56
|
0-5-14-17
|
1-7/5-9/7-11/7
|
jove
|
17.170248
|
| 57
|
0-8-14-17
|
1-12/7-9/7-11/7
|
otonal
|
17.172437
|
| 58
|
0-9-14-17
|
1-11/6-9/7-11/7
|
swetismic
|
17.174935
|
| 59
|
0-12-14-17
|
1-9/8-9/7-11/7
|
werckismic
|
17.209463
|
| 60
|
0-2-15-17
|
1-8/7-11/8-11/7
|
keenanismic
|
17.321972
|
| 61
|
0-3-15-17
|
1-11/9-11/8-11/7
|
utonal
|
17.322007
|
| 62
|
0-8-15-17
|
1-12/7-11/8-11/7
|
keenanismic
|
17.324189
|
| 63
|
0-9-15-17
|
1-11/6-11/8-11/7
|
utonal
|
17.326438
|
| 64
|
0-12-15-17
|
1-9/8-11/8-11/7
|
werckismic
|
17.357561
|
| 65
|
0-2-5-19
|
1-8/7-7/5-9/5
|
werckismic
|
19.000102
|
| 66
|
0-2-7-19
|
1-8/7-8/5-9/5
|
werckismic
|
19.000366
|
| 67
|
0-5-7-19
|
1-7/5-8/5-9/5
|
otonal
|
19.000443
|
| 68
|
0-5-12-19
|
1-7/5-9/8-9/5
|
marvel
|
19.011317
|
| 69
|
0-6-12-19
|
1-3/2-9/8-9/5
|
utonal
|
19.011405
|
| 70
|
0-7-12-19
|
1-8/5-9/8-9/5
|
marvel
|
19.011579
|
| 71
|
0-5-13-19
|
1-7/5-6/5-9/5
|
otonal
|
19.022457
|
| 72
|
0-6-13-19
|
1-3/2-6/5-9/5
|
ambitonal
|
19.022544
|
| 73
|
0-7-13-19
|
1-8/5-6/5-9/5
|
otonal
|
19.022717
|
| 74
|
0-2-14-19
|
1-8/7-9/7-9/5
|
werckismic
|
19.044407
|
| 75
|
0-5-14-19
|
1-7/5-9/7-9/5
|
swetismic
|
19.044482
|
| 76
|
0-6-14-19
|
1-3/2-9/7-9/5
|
utonal
|
19.044568
|
| 77
|
0-7-14-19
|
1-8/5-9/7-9/5
|
marvel
|
19.044738
|
| 78
|
0-12-14-19
|
1-9/8-9/7-9/5
|
utonal
|
19.055285
|
| 79
|
0-2-17-19
|
1-8/7-11/7-9/5
|
werckismic
|
19.321939
|
| 80
|
0-5-17-19
|
1-7/5-11/7-9/5
|
werckismic
|
19.322001
|
| 81
|
0-12-17-19
|
1-9/8-11/7-9/5
|
werckismic
|
19.330919
|
| 82
|
0-14-17-19
|
1-9/7-11/7-9/5
|
werckismic
|
19.357554
|
| 83
|
0-3-5-22
|
1-11/9-7/5-11/10
|
werckismic
|
22.000014
|
| 84
|
0-5-7-22
|
1-7/5-8/5-11/10
|
otonal
|
22.000055
|
| 85
|
0-3-8-22
|
1-11/9-12/7-11/10
|
swetismic
|
22.000091
|
| 86
|
0-5-8-22
|
1-7/5-12/7-11/10
|
swetismic
|
22.000099
|
| 87
|
0-3-9-22
|
1-11/9-11/6-11/10
|
utonal
|
22.000179
|
| 88
|
0-7-9-22
|
1-8/5-11/6-11/10
|
keenanismic
|
22.000220
|
| 89
|
0-5-13-22
|
1-7/5-6/5-11/10
|
otonal
|
22.002826
|
| 90
|
0-7-13-22
|
1-8/5-6/5-11/10
|
otonal
|
22.002859
|
| 91
|
0-8-13-22
|
1-12/7-6/5-11/10
|
swetismic
|
22.002903
|
| 92
|
0-5-14-22
|
1-7/5-9/7-11/10
|
swetismic
|
22.005636
|
| 93
|
0-7-14-22
|
1-8/5-9/7-11/10
|
unimarvel
|
22.005669
|
| 94
|
0-8-14-22
|
1-12/7-9/7-11/10
|
swetismic
|
22.005713
|
| 95
|
0-9-14-22
|
1-11/6-9/7-11/10
|
swetismic
|
22.005800
|
| 96
|
0-3-15-22
|
1-11/9-11/8-11/10
|
utonal
|
22.011230
|
| 97
|
0-7-15-22
|
1-8/5-11/8-11/10
|
keenanismic
|
22.011271
|
| 98
|
0-8-15-22
|
1-12/7-11/8-11/10
|
unimarvel
|
22.011315
|
| 99
|
0-9-15-22
|
1-11/6-11/8-11/10
|
utonal
|
22.011402
|
| 100
|
0-13-15-22
|
1-6/5-11/8-11/10
|
keenanismic
|
22.014021
|
| 101
|
0-3-17-22
|
1-11/9-11/7-11/10
|
utonal
|
22.044397
|
| 102
|
0-5-17-22
|
1-7/5-11/7-11/10
|
werckismic
|
22.044405
|
| 103
|
0-8-17-22
|
1-12/7-11/7-11/10
|
swetismic
|
22.044480
|
| 104
|
0-9-17-22
|
1-11/6-11/7-11/10
|
utonal
|
22.044565
|
| 105
|
0-14-17-22
|
1-9/7-11/7-11/10
|
swetismic
|
22.049849
|
| 106
|
0-15-17-22
|
1-11/8-11/7-11/10
|
utonal
|
22.055283
|
| 107
|
0-5-19-22
|
1-7/5-9/5-11/10
|
otonal
|
22.169935
|
| 108
|
0-7-19-22
|
1-8/5-9/5-11/10
|
otonal
|
22.169964
|
| 109
|
0-13-19-22
|
1-6/5-9/5-11/10
|
otonal
|
22.172428
|
| 110
|
0-14-19-22
|
1-9/7-9/5-11/10
|
swetismic
|
22.174926
|
| 111
|
0-17-19-22
|
1-11/7-9/5-11/10
|
werckismic
|
22.209454
|
Pentads[edit]
| Number
|
Chord
|
Transversal
|
Type
|
Hash
|
| 1
|
0-3-6-9-12
|
1-11/9-3/2-11/6-9/8
|
rastmic
|
12.192601
|
| 2
|
0-2-5-7-14
|
1-8/7-7/5-8/5-9/7
|
miracle
|
14.014456
|
| 3
|
0-2-5-8-14
|
1-8/7-7/5-12/7-9/7
|
jove
|
14.025572
|
| 4
|
0-2-7-9-14
|
1-8/7-8/5-11/6-9/7
|
unimarvel
|
14.055706
|
| 5
|
0-5-7-12-14
|
1-7/5-8/5-9/8-9/7
|
unimarvel
|
14.333225
|
| 6
|
0-6-9-12-14
|
1-3/2-11/6-9/8-9/7
|
jove
|
14.362012
|
| 7
|
0-7-9-12-14
|
1-8/5-11/6-9/8-9/7
|
miracle
|
14.366391
|
| 8
|
0-3-6-8-15
|
1-11/9-3/2-12/7-11/8
|
miracle
|
15.014413
|
| 9
|
0-3-6-9-15
|
1-11/9-3/2-11/6-11/8
|
rastmic
|
15.025529
|
| 10
|
0-2-7-9-15
|
1-8/7-8/5-11/6-11/8
|
keenanismic
|
15.028122
|
| 11
|
0-3-6-12-15
|
1-11/9-3/2-9/8-11/8
|
rastmic
|
15.172779
|
| 12
|
0-3-9-12-15
|
1-11/9-11/6-9/8-11/8
|
rastmic
|
15.190172
|
| 13
|
0-6-9-12-15
|
1-3/2-11/6-9/8-11/8
|
rastmic
|
15.192331
|
| 14
|
0-7-9-12-15
|
1-8/5-11/6-9/8-11/8
|
miracle
|
15.194795
|
| 15
|
0-6-8-13-15
|
1-3/2-12/7-6/5-11/8
|
keenanismic
|
15.333190
|
| 16
|
0-2-5-8-17
|
1-8/7-7/5-12/7-11/7
|
jove
|
17.003221
|
| 17
|
0-3-5-8-17
|
1-11/9-7/5-12/7-11/7
|
jove
|
17.003265
|
| 18
|
0-3-5-12-17
|
1-11/9-7/5-9/8-11/7
|
miracle
|
17.044832
|
| 19
|
0-3-9-12-17
|
1-11/9-11/6-9/8-11/7
|
jove
|
17.049944
|
| 20
|
0-2-5-14-17
|
1-8/7-7/5-9/7-11/7
|
jove
|
17.170287
|
| 21
|
0-2-8-14-17
|
1-8/7-12/7-9/7-11/7
|
otonal
|
17.172476
|
| 22
|
0-5-8-14-17
|
1-7/5-12/7-9/7-11/7
|
jove
|
17.172750
|
| 23
|
0-2-9-14-17
|
1-8/7-11/6-9/7-11/7
|
unimarvel
|
17.174974
|
| 24
|
0-5-12-14-17
|
1-7/5-9/8-9/7-11/7
|
miracle
|
17.209767
|
| 25
|
0-9-12-14-17
|
1-11/6-9/8-9/7-11/7
|
jove
|
17.214329
|
| 26
|
0-2-8-15-17
|
1-8/7-12/7-11/8-11/7
|
keenanismic
|
17.324225
|
| 27
|
0-3-8-15-17
|
1-11/9-12/7-11/8-11/7
|
unimarvel
|
17.324260
|
| 28
|
0-2-9-15-17
|
1-8/7-11/6-11/8-11/7
|
keenanismic
|
17.326473
|
| 29
|
0-3-9-15-17
|
1-11/9-11/6-11/8-11/7
|
utonal
|
17.326508
|
| 30
|
0-3-12-15-17
|
1-11/9-9/8-11/8-11/7
|
jove
|
17.357629
|
| 31
|
0-9-12-15-17
|
1-11/6-9/8-11/8-11/7
|
jove
|
17.361952
|
| 32
|
0-2-5-7-19
|
1-8/7-7/5-8/5-9/5
|
werckismic
|
19.000454
|
| 33
|
0-5-7-12-19
|
1-7/5-8/5-9/8-9/5
|
marvel
|
19.011667
|
| 34
|
0-5-7-13-19
|
1-7/5-8/5-6/5-9/5
|
otonal
|
19.022804
|
| 35
|
0-2-5-14-19
|
1-8/7-7/5-9/7-9/5
|
jove
|
19.044493
|
| 36
|
0-2-7-14-19
|
1-8/7-8/5-9/7-9/5
|
prodigy
|
19.044749
|
| 37
|
0-5-7-14-19
|
1-7/5-8/5-9/7-9/5
|
unimarvel
|
19.044824
|
| 38
|
0-5-12-14-19
|
1-7/5-9/8-9/7-9/5
|
unimarvel
|
19.055370
|
| 39
|
0-6-12-14-19
|
1-3/2-9/8-9/7-9/5
|
utonal
|
19.055455
|
| 40
|
0-7-12-14-19
|
1-8/5-9/8-9/7-9/5
|
marvel
|
19.055624
|
| 41
|
0-2-5-17-19
|
1-8/7-7/5-11/7-9/5
|
werckismic
|
19.322010
|
| 42
|
0-5-12-17-19
|
1-7/5-9/8-11/7-9/5
|
prodigy
|
19.330989
|
| 43
|
0-2-14-17-19
|
1-8/7-9/7-11/7-9/5
|
werckismic
|
19.357563
|
| 44
|
0-5-14-17-19
|
1-7/5-9/7-11/7-9/5
|
jove
|
19.357623
|
| 45
|
0-12-14-17-19
|
1-9/8-9/7-11/7-9/5
|
werckismic
|
19.366324
|
| 46
|
0-3-5-8-22
|
1-11/9-7/5-12/7-11/10
|
jove
|
22.000102
|
| 47
|
0-5-7-13-22
|
1-7/5-8/5-6/5-11/10
|
otonal
|
22.002870
|
| 48
|
0-5-8-13-22
|
1-7/5-12/7-6/5-11/10
|
swetismic
|
22.002914
|
| 49
|
0-5-7-14-22
|
1-7/5-8/5-9/7-11/10
|
unimarvel
|
22.005680
|
| 50
|
0-5-8-14-22
|
1-7/5-12/7-9/7-11/10
|
swetismic
|
22.005724
|
| 51
|
0-7-9-14-22
|
1-8/5-11/6-9/7-11/10
|
unimarvel
|
22.005844
|
| 52
|
0-3-8-15-22
|
1-11/9-12/7-11/8-11/10
|
unimarvel
|
22.011318
|
| 53
|
0-3-9-15-22
|
1-11/9-11/6-11/8-11/10
|
utonal
|
22.011405
|
| 54
|
0-7-9-15-22
|
1-8/5-11/6-11/8-11/10
|
keenanismic
|
22.011446
|
| 55
|
0-7-13-15-22
|
1-8/5-6/5-11/8-11/10
|
keenanismic
|
22.014064
|
| 56
|
0-8-13-15-22
|
1-12/7-6/5-11/8-11/10
|
unimarvel
|
22.014108
|
| 57
|
0-3-5-17-22
|
1-11/9-7/5-11/7-11/10
|
werckismic
|
22.044408
|
| 58
|
0-3-8-17-22
|
1-11/9-12/7-11/7-11/10
|
swetismic
|
22.044483
|
| 59
|
0-5-8-17-22
|
1-7/5-12/7-11/7-11/10
|
jove
|
22.044491
|
| 60
|
0-3-9-17-22
|
1-11/9-11/6-11/7-11/10
|
utonal
|
22.044568
|
| 61
|
0-5-14-17-22
|
1-7/5-9/7-11/7-11/10
|
jove
|
22.049860
|
| 62
|
0-8-14-17-22
|
1-12/7-9/7-11/7-11/10
|
swetismic
|
22.049934
|
| 63
|
0-9-14-17-22
|
1-11/6-9/7-11/7-11/10
|
swetismic
|
22.050019
|
| 64
|
0-3-15-17-22
|
1-11/9-11/8-11/7-11/10
|
utonal
|
22.055285
|
| 65
|
0-8-15-17-22
|
1-12/7-11/8-11/7-11/10
|
unimarvel
|
22.055368
|
| 66
|
0-9-15-17-22
|
1-11/6-11/8-11/7-11/10
|
utonal
|
22.055452
|
| 67
|
0-5-7-19-22
|
1-7/5-8/5-9/5-11/10
|
otonal
|
22.169974
|
| 68
|
0-5-13-19-22
|
1-7/5-6/5-9/5-11/10
|
otonal
|
22.172438
|
| 69
|
0-7-13-19-22
|
1-8/5-6/5-9/5-11/10
|
otonal
|
22.172467
|
| 70
|
0-5-14-19-22
|
1-7/5-9/7-9/5-11/10
|
swetismic
|
22.174936
|
| 71
|
0-7-14-19-22
|
1-8/5-9/7-9/5-11/10
|
unimarvel
|
22.174965
|
| 72
|
0-5-17-19-22
|
1-7/5-11/7-9/5-11/10
|
werckismic
|
22.209463
|
| 73
|
0-14-17-19-22
|
1-9/7-11/7-9/5-11/10
|
jove
|
22.214319
|
| Number
|
Chord
|
Transversal
|
Type
|
Hash
|
| 1
|
0-3-6-9-12-15
|
1-11/9-3/2-11/6-9/8-11/8
|
rastmic
|
15.192640
|
| 2
|
0-2-5-8-14-17
|
1-8/7-7/5-12/7-9/7-11/7
|
jove
|
17.172789
|
| 3
|
0-3-9-12-15-17
|
1-11/9-11/6-9/8-11/8-11/7
|
jove
|
17.362021
|
| 4
|
0-2-5-7-14-19
|
1-8/7-7/5-8/5-9/7-9/5
|
miracle
|
19.044834
|
| 5
|
0-5-7-12-14-19
|
1-7/5-8/5-9/8-9/7-9/5
|
unimarvel
|
19.055709
|
| 6
|
0-2-5-14-17-19
|
1-8/7-7/5-9/7-11/7-9/5
|
jove
|
19.357631
|
| 7
|
0-5-12-14-17-19
|
1-7/5-9/8-9/7-11/7-9/5
|
miracle
|
19.366393
|
| 8
|
0-3-5-8-17-22
|
1-11/9-7/5-12/7-11/7-11/10
|
jove
|
22.044493
|
| 9
|
0-5-8-14-17-22
|
1-7/5-12/7-9/7-11/7-11/10
|
jove
|
22.049945
|
| 10
|
0-3-8-15-17-22
|
1-11/9-12/7-11/8-11/7-11/10
|
unimarvel
|
22.055370
|
| 11
|
0-3-9-15-17-22
|
1-11/9-11/6-11/8-11/7-11/10
|
utonal
|
22.055455
|
| 12
|
0-5-7-13-19-22
|
1-7/5-8/5-6/5-9/5-11/10
|
otonal
|
22.172477
|
| 13
|
0-5-7-14-19-22
|
1-7/5-8/5-9/7-9/5-11/10
|
unimarvel
|
22.174975
|
| 14
|
0-5-14-17-19-22
|
1-7/5-9/7-11/7-9/5-11/10
|
jove
|
22.214329
|