Catakleismic/13-limit chords: Difference between revisions

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Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[13-limit|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 [[cent]]s, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords|marvel]], by [[385/384]] [[Keenanismic chords|keenanismic]], by [[540/539]] [[Swetismic chords|swetismic]], by [[169/168]] [[Buzurgismic chords|dhanvantarismic]], by [[325/324]] [[Marveltwin chords|marveltwin]], by [[351/350]] [[Ratwolfsmic chords|ratwolfsmic]], by [[676/675]] [[Island chords|island]], by [[729/728]] [[Squbemic chords|squbemic]], by [[1001/1000]] [[Sinbadmic chords|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords|catadictmic]]. [[Rank and codimension|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[Ragismic family #Beyla|beyla]], [[Marvel family #Hestia|hestia]], [[Swetismic temperaments #Hypnos|hypnos]], [[Marvel family #Catakleismoid|catakleismoid]], [[Kleismic rank three family #Isimud|isimud]], [[Marvel family #Undecimal marvel (unimarv)|unimarvel]] and [[Marvel family #Undecimal marvel (unimarv)|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.  
Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[13-limit|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 [[cent]]s, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords|marvel]], by [[385/384]] [[Keenanismic chords|keenanismic]], by [[540/539]] [[Swetismic chords|swetismic]], by [[169/168]] [[Buzurgismic chords|dhanvantarismic]], by [[325/324]] [[Marveltwin chords|marveltwin]], by [[351/350]] [[Ratwolfsmic chords|ratwolfsmic]], by [[676/675]] [[Island chords|island]], by [[729/728]] [[Squbemic chords|squbemic]], by [[1001/1000]] [[Sinbadmic chords|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords|catadictmic]]. [[Rank and codimension|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[beyla]], [[hestia]], [[hypnos]], [[catakleismoid]], [[isimud]], [[marvel|unimarvel]] and [[marvel|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.  


Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has [[mos scale]]s of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note mos, and with the 11-note mos pentads appear.
Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has [[mos scale]]s of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note mos, and with the 11-note mos pentads appear.

Latest revision as of 13:37, 27 August 2025

Below are listed the 15-odd-limit dyadic chords of tridecimal catakleismic temperament, subject to the condition that no interval smaller than 12/11, at 150 cents, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 225/224 are labeled marvel, by 385/384 keenanismic, by 540/539 swetismic, by 169/168 dhanvantarismic, by 325/324 marveltwin, by 351/350 ratwolfsmic, by 676/675 island, by 729/728 squbemic, by 1001/1000 sinbadmic and by 1287/1280 catadictmic. Codimension-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled beyla, hestia, hypnos, catakleismoid, isimud, unimarvel and tridecimal marvel. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.

Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and the Archipelago. It has mos scales of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note mos, and with the 11-note mos pentads appear.

Triads

# Chord Transversal Type
1 0-1-2 1-6/5-13/9 marveltwin
2 0-1-3 1-6/5-26/15 otonal
3 0-2-3 1-13/9-26/15 utonal
4 0-2-5 1-13/9-5/4 island
5 0-3-5 1-26/15-5/4 island
6 0-1-6 1-6/5-3/2 utonal
7 0-3-6 1-26/15-3/2 island
8 0-5-6 1-5/4-3/2 otonal
9 0-1-7 1-6/5-9/5 otonal
10 0-2-7 1-13/9-9/5 marveltwin
11 0-5-7 1-5/4-9/5 marveltwin
12 0-6-7 1-3/2-9/5 utonal
13 0-2-9 1-13/9-13/10 utonal
14 0-3-9 1-26/15-13/10 utonal
15 0-6-9 1-3/2-13/10 otonal
16 0-7-9 1-9/5-13/10 otonal
17 0-1-10 1-6/5-14/9 ratwolfsmic
18 0-3-10 1-26/15-14/9 ratwolfsmic
19 0-5-10 1-5/4-14/9 marvel
20 0-7-10 1-9/5-14/9 ratwolfsmic
21 0-9-10 1-13/10-14/9 ratwolfsmic
22 0-2-12 1-13/9-9/8 squbemic
23 0-3-12 1-26/15-9/8 island
24 0-5-12 1-5/4-9/8 otonal
25 0-6-12 1-3/2-9/8 ambitonal
26 0-7-12 1-9/5-9/8 utonal
27 0-9-12 1-13/10-9/8 island
28 0-10-12 1-14/9-9/8 squbemic
29 0-2-14 1-13/9-13/8 utonal
30 0-5-14 1-5/4-13/8 otonal
31 0-7-14 1-9/5-13/8 marveltwin
32 0-9-14 1-13/10-13/8 utonal
33 0-12-14 1-9/8-13/8 otonal
34 0-2-16 1-13/9-7/6 dhanvantarismic
35 0-6-16 1-3/2-7/6 otonal
36 0-7-16 1-9/5-7/6 ratwolfsmic
37 0-9-16 1-13/10-7/6 ratwolfsmic
38 0-10-16 1-14/9-7/6 utonal
39 0-14-16 1-13/8-7/6 dhanvantarismic
40 0-1-17 1-6/5-7/5 otonal
41 0-3-17 1-26/15-7/5 dhanvantarismic
42 0-5-17 1-5/4-7/5 marvel
43 0-7-17 1-9/5-7/5 otonal
44 0-10-17 1-14/9-7/5 utonal
45 0-12-17 1-9/8-7/5 marvel
46 0-14-17 1-13/8-7/5 dhanvantarismic
47 0-16-17 1-7/6-7/5 utonal
48 0-5-21 1-5/4-16/11 keenanismic
49 0-7-21 1-9/5-16/11 catadictmic
50 0-9-21 1-13/10-16/11 catadictmic
51 0-12-21 1-9/8-16/11 catadictmic
52 0-14-21 1-13/8-16/11 catadictmic
53 0-16-21 1-7/6-16/11 keenanismic
54 0-1-22 1-6/5-7/4 keenanismic
55 0-5-22 1-5/4-7/4 otonal
56 0-6-22 1-3/2-7/4 otonal
57 0-10-22 1-14/9-7/4 utonal
58 0-12-22 1-9/8-7/4 otonal
59 0-16-22 1-7/6-7/4 utonal
60 0-17-22 1-7/5-7/4 utonal
61 0-21-22 1-16/11-7/4 keenanismic
62 0-5-26 1-5/4-20/11 utonal
63 0-9-26 1-13/10-20/11 sinbadmic
64 0-10-26 1-14/9-20/11 swetismic
65 0-12-26 1-9/8-20/11 catadictmic
66 0-14-26 1-13/8-20/11 catadictmic
67 0-16-26 1-7/6-20/11 swetismic
68 0-17-26 1-7/5-20/11 sinbadmic
69 0-21-26 1-16/11-20/11 otonal
70 0-1-27 1-6/5-12/11 utonal
71 0-5-27 1-5/4-12/11 keenanismic
72 0-6-27 1-3/2-12/11 utonal
73 0-10-27 1-14/9-12/11 swetismic
74 0-17-27 1-7/5-12/11 swetismic
75 0-21-27 1-16/11-12/11 otonal
76 0-22-27 1-7/4-12/11 keenanismic
77 0-26-27 1-20/11-12/11 otonal
78 0-5-32 1-5/4-15/11 utonal
79 0-6-32 1-3/2-15/11 utonal
80 0-10-32 1-14/9-15/11 swetismic
81 0-16-32 1-7/6-15/11 swetismic
82 0-22-32 1-7/4-15/11 swetismic
83 0-26-32 1-20/11-15/11 otonal
84 0-27-32 1-12/11-15/11 otonal
85 0-1-33 1-6/5-18/11 utonal
86 0-6-33 1-3/2-18/11 utonal
87 0-7-33 1-9/5-18/11 utonal
88 0-12-33 1-9/8-18/11 utonal
89 0-16-33 1-7/6-18/11 swetismic
90 0-17-33 1-7/5-18/11 swetismic
91 0-21-33 1-16/11-18/11 otonal
92 0-26-33 1-20/11-18/11 otonal
93 0-27-33 1-12/11-18/11 otonal
94 0-32-33 1-15/11-18/11 otonal
95 0-2-35 1-13/9-13/11 utonal
96 0-3-35 1-26/15-13/11 utonal
97 0-9-35 1-13/10-13/11 utonal
98 0-14-35 1-13/8-13/11 utonal
99 0-21-35 1-16/11-13/11 otonal
100 0-26-35 1-20/11-13/11 otonal
101 0-32-35 1-15/11-13/11 otonal
102 0-33-35 1-18/11-13/11 otonal
103 0-10-43 1-14/9-14/11 utonal
104 0-16-43 1-7/6-14/11 utonal
105 0-17-43 1-7/5-14/11 utonal
106 0-21-43 1-16/11-14/11 otonal
107 0-22-43 1-7/4-14/11 utonal
108 0-26-43 1-20/11-14/11 otonal
109 0-27-43 1-12/11-14/11 otonal
110 0-33-43 1-18/11-14/11 otonal

Tetrads

# Chord Transversal Type
1 0-1-2-3 1-6/5-13/9-26/15 marveltwin
2 0-2-3-5 1-13/9-26/15-5/4 island
3 0-1-3-6 1-6/5-26/15-3/2 island
4 0-3-5-6 1-26/15-5/4-3/2 island
5 0-1-2-7 1-6/5-13/9-9/5 marveltwin
6 0-2-5-7 1-13/9-5/4-9/5 marveltwin-island
7 0-1-6-7 1-6/5-3/2-9/5 ambitonal
8 0-5-6-7 1-5/4-3/2-9/5 marveltwin
9 0-2-3-9 1-13/9-26/15-13/10 utonal
10 0-3-6-9 1-26/15-3/2-13/10 island
11 0-2-7-9 1-13/9-9/5-13/10 marveltwin
12 0-6-7-9 1-3/2-9/5-13/10 otonal
13 0-1-3-10 1-6/5-26/15-14/9 ratwolfsmic
14 0-3-5-10 1-26/15-5/4-14/9 catakleismoid
15 0-1-7-10 1-6/5-9/5-14/9 ratwolfsmic
16 0-5-7-10 1-5/4-9/5-14/9 catakleismoid
17 0-3-9-10 1-26/15-13/10-14/9 ratwolfsmic
18 0-7-9-10 1-9/5-13/10-14/9 ratwolfsmic
19 0-2-3-12 1-13/9-26/15-9/8 ratwolfsmic-island
20 0-2-5-12 1-13/9-5/4-9/8 ratwolfsmic-island
21 0-3-5-12 1-26/15-5/4-9/8 island
22 0-3-6-12 1-26/15-3/2-9/8 island
23 0-5-6-12 1-5/4-3/2-9/8 otonal
24 0-2-7-12 1-13/9-9/5-9/8 marvel-marveltwin
25 0-5-7-12 1-5/4-9/5-9/8 marveltwin
26 0-6-7-12 1-3/2-9/5-9/8 utonal
27 0-2-9-12 1-13/9-13/10-9/8 ratwolfsmic-island
28 0-3-9-12 1-26/15-13/10-9/8 island
29 0-6-9-12 1-3/2-13/10-9/8 island
30 0-7-9-12 1-9/5-13/10-9/8 island
31 0-3-10-12 1-26/15-14/9-9/8 ratwolfsmic-island
32 0-5-10-12 1-5/4-14/9-9/8 marvel-marveltwin
33 0-7-10-12 1-9/5-14/9-9/8 ratwolfsmic-island
34 0-9-10-12 1-13/10-14/9-9/8 ratwolfsmic-island
35 0-2-5-14 1-13/9-5/4-13/8 island
36 0-2-7-14 1-13/9-9/5-13/8 marveltwin
37 0-5-7-14 1-5/4-9/5-13/8 marveltwin
38 0-2-9-14 1-13/9-13/10-13/8 utonal
39 0-7-9-14 1-9/5-13/10-13/8 marveltwin
40 0-2-12-14 1-13/9-9/8-13/8 squbemic
41 0-5-12-14 1-5/4-9/8-13/8 otonal
42 0-7-12-14 1-9/5-9/8-13/8 marveltwin
43 0-9-12-14 1-13/10-9/8-13/8 island
44 0-2-7-16 1-13/9-9/5-7/6 dhanvantarismic-marveltwin
45 0-6-7-16 1-3/2-9/5-7/6 ratwolfsmic
46 0-2-9-16 1-13/9-13/10-7/6 dhanvantarismic-marveltwin
47 0-6-9-16 1-3/2-13/10-7/6 ratwolfsmic
48 0-7-9-16 1-9/5-13/10-7/6 ratwolfsmic
49 0-7-10-16 1-9/5-14/9-7/6 ratwolfsmic
50 0-9-10-16 1-13/10-14/9-7/6 ratwolfsmic
51 0-2-14-16 1-13/9-13/8-7/6 dhanvantarismic
52 0-7-14-16 1-9/5-13/8-7/6 dhanvantarismic-marveltwin
53 0-9-14-16 1-13/10-13/8-7/6 dhanvantarismic-marveltwin
54 0-1-3-17 1-6/5-26/15-7/5 dhanvantarismic
55 0-3-5-17 1-26/15-5/4-7/5 dhanvantarismic-marvel
56 0-1-7-17 1-6/5-9/5-7/5 otonal
57 0-5-7-17 1-5/4-9/5-7/5 marvel-marveltwin
58 0-1-10-17 1-6/5-14/9-7/5 ratwolfsmic
59 0-3-10-17 1-26/15-14/9-7/5 dhanvantarismic-marveltwin
60 0-5-10-17 1-5/4-14/9-7/5 marvel
61 0-7-10-17 1-9/5-14/9-7/5 ratwolfsmic
62 0-3-12-17 1-26/15-9/8-7/5 dhanvantarismic-marvel
63 0-5-12-17 1-5/4-9/8-7/5 marvel
64 0-7-12-17 1-9/5-9/8-7/5 marvel
65 0-10-12-17 1-14/9-9/8-7/5 marvel-marveltwin
66 0-5-14-17 1-5/4-13/8-7/5 dhanvantarismic-marvel
67 0-7-14-17 1-9/5-13/8-7/5 dhanvantarismic-marveltwin
68 0-12-14-17 1-9/8-13/8-7/5 dhanvantarismic-marvel
69 0-7-16-17 1-9/5-7/6-7/5 ratwolfsmic
70 0-10-16-17 1-14/9-7/6-7/5 utonal
71 0-14-16-17 1-13/8-7/6-7/5 dhanvantarismic
72 0-5-7-21 1-5/4-9/5-16/11 beyla
73 0-7-9-21 1-9/5-13/10-16/11 catadictmic
74 0-5-12-21 1-5/4-9/8-16/11 keenanismic-ratwolfsmic
75 0-7-12-21 1-9/5-9/8-16/11 catadictmic
76 0-9-12-21 1-13/10-9/8-16/11 island-catadictmic
77 0-5-14-21 1-5/4-13/8-16/11 keenanismic-ratwolfsmic
78 0-7-14-21 1-9/5-13/8-16/11 marveltwin-catadictmic
79 0-9-14-21 1-13/10-13/8-16/11 catadictmic
80 0-12-14-21 1-9/8-13/8-16/11 catadictmic
81 0-7-16-21 1-9/5-7/6-16/11 keenanismic-ratwolfsmic
82 0-9-16-21 1-13/10-7/6-16/11 keenanismic-ratwolfsmic
83 0-14-16-21 1-13/8-7/6-16/11 beyla
84 0-1-6-22 1-6/5-3/2-7/4 keenanismic
85 0-5-6-22 1-5/4-3/2-7/4 otonal
86 0-1-10-22 1-6/5-14/9-7/4 keenanismic-ratwolfsmic
87 0-5-10-22 1-5/4-14/9-7/4 marvel
88 0-5-12-22 1-5/4-9/8-7/4 otonal
89 0-6-12-22 1-3/2-9/8-7/4 otonal
90 0-10-12-22 1-14/9-9/8-7/4 squbemic
91 0-6-16-22 1-3/2-7/6-7/4 ambitonal
92 0-10-16-22 1-14/9-7/6-7/4 utonal
93 0-1-17-22 1-6/5-7/5-7/4 keenanismic
94 0-5-17-22 1-5/4-7/5-7/4 marvel
95 0-10-17-22 1-14/9-7/5-7/4 utonal
96 0-12-17-22 1-9/8-7/5-7/4 marvel
97 0-16-17-22 1-7/6-7/5-7/4 utonal
98 0-5-21-22 1-5/4-16/11-7/4 keenanismic
99 0-12-21-22 1-9/8-16/11-7/4 keenanismic-ratwolfsmic
100 0-16-21-22 1-7/6-16/11-7/4 keenanismic
101 0-5-10-26 1-5/4-14/9-20/11 unimarvel
102 0-9-10-26 1-13/10-14/9-20/11 swetismic-ratwolfsmic
103 0-5-12-26 1-5/4-9/8-20/11 catadictmic
104 0-9-12-26 1-13/10-9/8-20/11 hestia
105 0-10-12-26 1-14/9-9/8-20/11 hypnos
106 0-5-14-26 1-5/4-13/8-20/11 catadictmic
107 0-9-14-26 1-13/10-13/8-20/11 marvel-catadictmic
108 0-12-14-26 1-9/8-13/8-20/11 catadictmic
109 0-9-16-26 1-13/10-7/6-20/11 swetismic-ratwolfsmic
110 0-10-16-26 1-14/9-7/6-20/11 swetismic
111 0-14-16-26 1-13/8-7/6-20/11 hypnos
112 0-5-17-26 1-5/4-7/5-20/11 marvel-catadictmic
113 0-10-17-26 1-14/9-7/5-20/11 swetismic-ratwolfsmic
114 0-12-17-26 1-9/8-7/5-20/11 marvel-catadictmic
115 0-14-17-26 1-13/8-7/5-20/11 hestia
116 0-16-17-26 1-7/6-7/5-20/11 swetismic-ratwolfsmic
117 0-5-21-26 1-5/4-16/11-20/11 keenanismic
118 0-9-21-26 1-13/10-16/11-20/11 marvel-catadictmic
119 0-12-21-26 1-9/8-16/11-20/11 catadictmic
120 0-14-21-26 1-13/8-16/11-20/11 catadictmic
121 0-16-21-26 1-7/6-16/11-20/11 unimarvel
122 0-1-6-27 1-6/5-3/2-12/11 utonal
123 0-5-6-27 1-5/4-3/2-12/11 keenanismic
124 0-1-10-27 1-6/5-14/9-12/11 swetismic-ratwolfsmic
125 0-5-10-27 1-5/4-14/9-12/11 unimarvel
126 0-1-17-27 1-6/5-7/5-12/11 swetismic
127 0-5-17-27 1-5/4-7/5-12/11 unimarvel
128 0-10-17-27 1-14/9-7/5-12/11 swetismic
129 0-5-21-27 1-5/4-16/11-12/11 keenanismic
130 0-1-22-27 1-6/5-7/4-12/11 keenanismic
131 0-5-22-27 1-5/4-7/4-12/11 keenanismic
132 0-6-22-27 1-3/2-7/4-12/11 keenanismic
133 0-10-22-27 1-14/9-7/4-12/11 unimarvel
134 0-17-22-27 1-7/5-7/4-12/11 unimarvel
135 0-21-22-27 1-16/11-7/4-12/11 keenanismic
136 0-5-26-27 1-5/4-20/11-12/11 keenanismic
137 0-10-26-27 1-14/9-20/11-12/11 swetismic
138 0-17-26-27 1-7/5-20/11-12/11 swetismic-ratwolfsmic
139 0-21-26-27 1-16/11-20/11-12/11 otonal
140 0-5-6-32 1-5/4-3/2-15/11 utonal
141 0-5-10-32 1-5/4-14/9-15/11 unimarvel
142 0-6-16-32 1-3/2-7/6-15/11 swetismic
143 0-10-16-32 1-14/9-7/6-15/11 swetismic
144 0-5-22-32 1-5/4-7/4-15/11 swetismic
145 0-6-22-32 1-3/2-7/4-15/11 swetismic
146 0-10-22-32 1-14/9-7/4-15/11 swetismic
147 0-16-22-32 1-7/6-7/4-15/11 swetismic
148 0-5-26-32 1-5/4-20/11-15/11 utonal
149 0-10-26-32 1-14/9-20/11-15/11 swetismic
150 0-16-26-32 1-7/6-20/11-15/11 swetismic
151 0-5-27-32 1-5/4-12/11-15/11 keenanismic
152 0-6-27-32 1-3/2-12/11-15/11 otonal
153 0-10-27-32 1-14/9-12/11-15/11 swetismic
154 0-22-27-32 1-7/4-12/11-15/11 unimarvel
155 0-26-27-32 1-20/11-12/11-15/11 otonal
156 0-1-6-33 1-6/5-3/2-18/11 utonal
157 0-1-7-33 1-6/5-9/5-18/11 utonal
158 0-6-7-33 1-3/2-9/5-18/11 utonal
159 0-6-12-33 1-3/2-9/8-18/11 utonal
160 0-7-12-33 1-9/5-9/8-18/11 utonal
161 0-6-16-33 1-3/2-7/6-18/11 swetismic
162 0-7-16-33 1-9/5-7/6-18/11 swetismic-ratwolfsmic
163 0-1-17-33 1-6/5-7/5-18/11 swetismic
164 0-7-17-33 1-9/5-7/5-18/11 swetismic
165 0-12-17-33 1-9/8-7/5-18/11 unimarvel
166 0-16-17-33 1-7/6-7/5-18/11 swetismic
167 0-7-21-33 1-9/5-16/11-18/11 catadictmic
168 0-12-21-33 1-9/8-16/11-18/11 catadictmic
169 0-16-21-33 1-7/6-16/11-18/11 unimarvel
170 0-12-26-33 1-9/8-20/11-18/11 catadictmic
171 0-16-26-33 1-7/6-20/11-18/11 swetismic
172 0-17-26-33 1-7/5-20/11-18/11 swetismic-ratwolfsmic
173 0-21-26-33 1-16/11-20/11-18/11 otonal
174 0-1-27-33 1-6/5-12/11-18/11 utonal
175 0-6-27-33 1-3/2-12/11-18/11 ambitonal
176 0-17-27-33 1-7/5-12/11-18/11 swetismic
177 0-21-27-33 1-16/11-12/11-18/11 otonal
178 0-26-27-33 1-20/11-12/11-18/11 otonal
179 0-6-32-33 1-3/2-15/11-18/11 otonal
180 0-16-32-33 1-7/6-15/11-18/11 swetismic
181 0-26-32-33 1-20/11-15/11-18/11 otonal
182 0-27-32-33 1-12/11-15/11-18/11 otonal
183 0-2-3-35 1-13/9-26/15-13/11 utonal
184 0-2-9-35 1-13/9-13/10-13/11 utonal
185 0-3-9-35 1-26/15-13/10-13/11 utonal
186 0-2-14-35 1-13/9-13/8-13/11 utonal
187 0-9-14-35 1-13/10-13/8-13/11 utonal
188 0-9-21-35 1-13/10-16/11-13/11 catadictmic
189 0-14-21-35 1-13/8-16/11-13/11 catadictmic
190 0-9-26-35 1-13/10-20/11-13/11 sinbadmic
191 0-14-26-35 1-13/8-20/11-13/11 catadictmic
192 0-21-26-35 1-16/11-20/11-13/11 otonal
193 0-26-32-35 1-20/11-15/11-13/11 otonal
194 0-21-33-35 1-16/11-18/11-13/11 otonal
195 0-26-33-35 1-20/11-18/11-13/11 otonal
196 0-32-33-35 1-15/11-18/11-13/11 otonal
197 0-10-16-43 1-14/9-7/6-14/11 utonal
198 0-10-17-43 1-14/9-7/5-14/11 utonal
199 0-16-17-43 1-7/6-7/5-14/11 utonal
200 0-16-21-43 1-7/6-16/11-14/11 keenanismic
201 0-10-22-43 1-14/9-7/4-14/11 utonal
202 0-16-22-43 1-7/6-7/4-14/11 utonal
203 0-17-22-43 1-7/5-7/4-14/11 utonal
204 0-21-22-43 1-16/11-7/4-14/11 keenanismic
205 0-10-26-43 1-14/9-20/11-14/11 swetismic
206 0-16-26-43 1-7/6-20/11-14/11 swetismic
207 0-17-26-43 1-7/5-20/11-14/11 sinbadmic
208 0-21-26-43 1-16/11-20/11-14/11 otonal
209 0-10-27-43 1-14/9-12/11-14/11 swetismic
210 0-17-27-43 1-7/5-12/11-14/11 swetismic
211 0-21-27-43 1-16/11-12/11-14/11 otonal
212 0-22-27-43 1-7/4-12/11-14/11 keenanismic
213 0-26-27-43 1-20/11-12/11-14/11 otonal
214 0-16-33-43 1-7/6-18/11-14/11 swetismic
215 0-17-33-43 1-7/5-18/11-14/11 swetismic
216 0-21-33-43 1-16/11-18/11-14/11 otonal
217 0-26-33-43 1-20/11-18/11-14/11 otonal
218 0-27-33-43 1-12/11-18/11-14/11 otonal

Pentads

# Chord Transversal Type
1 0-2-3-5-12 1-13/9-26/15-5/4-9/8 ratwolfsmic-island
2 0-3-5-6-12 1-26/15-5/4-3/2-9/8 island
3 0-2-5-7-12 1-13/9-5/4-9/5-9/8 catakleismoid
4 0-5-6-7-12 1-5/4-3/2-9/5-9/8 marveltwin
5 0-2-3-9-12 1-13/9-26/15-13/10-9/8 ratwolfsmic-island
6 0-3-6-9-12 1-26/15-3/2-13/10-9/8 island
7 0-2-7-9-12 1-13/9-9/5-13/10-9/8 catakleismoid
8 0-6-7-9-12 1-3/2-9/5-13/10-9/8 island
9 0-3-5-10-12 1-26/15-5/4-14/9-9/8 catakleismoid
10 0-5-7-10-12 1-5/4-9/5-14/9-9/8 catakleismoid
11 0-3-9-10-12 1-26/15-13/10-14/9-9/8 ratwolfsmic-island
12 0-7-9-10-12 1-9/5-13/10-14/9-9/8 ratwolfsmic-island
13 0-2-5-7-14 1-13/9-5/4-9/5-13/8 marveltwin-island
14 0-2-7-9-14 1-13/9-9/5-13/10-13/8 marveltwin
15 0-2-5-12-14 1-13/9-5/4-9/8-13/8 ratwolfsmic-island
16 0-2-7-12-14 1-13/9-9/5-9/8-13/8 marvel-marveltwin
17 0-5-7-12-14 1-5/4-9/5-9/8-13/8 marveltwin
18 0-2-9-12-14 1-13/9-13/10-9/8-13/8 ratwolfsmic-island
19 0-7-9-12-14 1-9/5-13/10-9/8-13/8 marveltwin-island
20 0-2-7-9-16 1-13/9-9/5-13/10-7/6 dhanvantarismic-marveltwin
21 0-6-7-9-16 1-3/2-9/5-13/10-7/6 ratwolfsmic
22 0-7-9-10-16 1-9/5-13/10-14/9-7/6 ratwolfsmic
23 0-2-7-14-16 1-13/9-9/5-13/8-7/6 dhanvantarismic-marveltwin
24 0-2-9-14-16 1-13/9-13/10-13/8-7/6 dhanvantarismic-marveltwin
25 0-7-9-14-16 1-9/5-13/10-13/8-7/6 dhanvantarismic-marveltwin
26 0-1-3-10-17 1-6/5-26/15-14/9-7/5 dhanvantarismic-marveltwin
27 0-3-5-10-17 1-26/15-5/4-14/9-7/5 catakleismoid
28 0-1-7-10-17 1-6/5-9/5-14/9-7/5 ratwolfsmic
29 0-5-7-10-17 1-5/4-9/5-14/9-7/5 catakleismoid
30 0-3-5-12-17 1-26/15-5/4-9/8-7/5 dhanvantarismic-marvel
31 0-5-7-12-17 1-5/4-9/5-9/8-7/5 marvel-marveltwin
32 0-3-10-12-17 1-26/15-14/9-9/8-7/5 catakleismoid
33 0-5-10-12-17 1-5/4-14/9-9/8-7/5 marvel-marveltwin
34 0-7-10-12-17 1-9/5-14/9-9/8-7/5 catakleismoid
35 0-5-7-14-17 1-5/4-9/5-13/8-7/5 catakleismoid
36 0-5-12-14-17 1-5/4-9/8-13/8-7/5 dhanvantarismic-marvel
37 0-7-12-14-17 1-9/5-9/8-13/8-7/5 catakleismoid
38 0-7-10-16-17 1-9/5-14/9-7/6-7/5 ratwolfsmic
39 0-7-14-16-17 1-9/5-13/8-7/6-7/5 dhanvantarismic-marveltwin
40 0-5-7-12-21 1-5/4-9/5-9/8-16/11 beyla
41 0-7-9-12-21 1-9/5-13/10-9/8-16/11 island-catadictmic
42 0-5-7-14-21 1-5/4-9/5-13/8-16/11 beyla
43 0-7-9-14-21 1-9/5-13/10-13/8-16/11 marveltwin-catadictmic
44 0-5-12-14-21 1-5/4-9/8-13/8-16/11 keenanismic-ratwolfsmic
45 0-7-12-14-21 1-9/5-9/8-13/8-16/11 marveltwin-catadictmic
46 0-9-12-14-21 1-13/10-9/8-13/8-16/11 island-catadictmic
47 0-7-9-16-21 1-9/5-13/10-7/6-16/11 keenanismic-ratwolfsmic
48 0-7-14-16-21 1-9/5-13/8-7/6-16/11 beyla
49 0-9-14-16-21 1-13/10-13/8-7/6-16/11 beyla
50 0-5-6-12-22 1-5/4-3/2-9/8-7/4 otonal
51 0-5-10-12-22 1-5/4-14/9-9/8-7/4 marvel-marveltwin
52 0-1-10-17-22 1-6/5-14/9-7/5-7/4 keenanismic-ratwolfsmic
53 0-5-10-17-22 1-5/4-14/9-7/5-7/4 marvel
54 0-5-12-17-22 1-5/4-9/8-7/5-7/4 marvel
55 0-10-12-17-22 1-14/9-9/8-7/5-7/4 marvel-marveltwin
56 0-10-16-17-22 1-14/9-7/6-7/5-7/4 utonal
57 0-5-12-21-22 1-5/4-9/8-16/11-7/4 keenanismic-ratwolfsmic
58 0-5-10-12-26 1-5/4-14/9-9/8-20/11 catakleismic
59 0-9-10-12-26 1-13/10-14/9-9/8-20/11 catakleismic
60 0-5-12-14-26 1-5/4-9/8-13/8-20/11 catadictmic
61 0-9-12-14-26 1-13/10-9/8-13/8-20/11 hestia
62 0-9-10-16-26 1-13/10-14/9-7/6-20/11 swetismic-ratwolfsmic
63 0-9-14-16-26 1-13/10-13/8-7/6-20/11 catakleismic
64 0-5-10-17-26 1-5/4-14/9-7/5-20/11 tridecimal marvel
65 0-5-12-17-26 1-5/4-9/8-7/5-20/11 marvel-catadictmic
66 0-10-12-17-26 1-14/9-9/8-7/5-20/11 catakleismic
67 0-5-14-17-26 1-5/4-13/8-7/5-20/11 hestia
68 0-12-14-17-26 1-9/8-13/8-7/5-20/11 hestia
69 0-10-16-17-26 1-14/9-7/6-7/5-20/11 swetismic-ratwolfsmic
70 0-14-16-17-26 1-13/8-7/6-7/5-20/11 catakleismic
71 0-5-12-21-26 1-5/4-9/8-16/11-20/11 keenanismic-ratwolfsmic
72 0-9-12-21-26 1-13/10-9/8-16/11-20/11 hestia
73 0-5-14-21-26 1-5/4-13/8-16/11-20/11 keenanismic-ratwolfsmic
74 0-9-14-21-26 1-13/10-13/8-16/11-20/11 marvel-catadictmic
75 0-12-14-21-26 1-9/8-13/8-16/11-20/11 catadictmic
76 0-9-16-21-26 1-13/10-7/6-16/11-20/11 tridecimal marvel
77 0-14-16-21-26 1-13/8-7/6-16/11-20/11 catakleismic
78 0-1-10-17-27 1-6/5-14/9-7/5-12/11 swetismic-ratwolfsmic
79 0-5-10-17-27 1-5/4-14/9-7/5-12/11 unimarvel
80 0-1-6-22-27 1-6/5-3/2-7/4-12/11 keenanismic
81 0-5-6-22-27 1-5/4-3/2-7/4-12/11 keenanismic
82 0-1-10-22-27 1-6/5-14/9-7/4-12/11 tridecimal marvel
83 0-5-10-22-27 1-5/4-14/9-7/4-12/11 unimarvel
84 0-1-17-22-27 1-6/5-7/5-7/4-12/11 unimarvel
85 0-5-17-22-27 1-5/4-7/5-7/4-12/11 unimarvel
86 0-10-17-22-27 1-14/9-7/5-7/4-12/11 unimarvel
87 0-5-21-22-27 1-5/4-16/11-7/4-12/11 keenanismic
88 0-5-10-26-27 1-5/4-14/9-20/11-12/11 unimarvel
89 0-5-17-26-27 1-5/4-7/5-20/11-12/11 tridecimal marvel
90 0-10-17-26-27 1-14/9-7/5-20/11-12/11 swetismic-ratwolfsmic
91 0-5-21-26-27 1-5/4-16/11-20/11-12/11 keenanismic
92 0-5-6-22-32 1-5/4-3/2-7/4-15/11 swetismic
93 0-5-10-22-32 1-5/4-14/9-7/4-15/11 unimarvel
94 0-6-16-22-32 1-3/2-7/6-7/4-15/11 swetismic
95 0-10-16-22-32 1-14/9-7/6-7/4-15/11 swetismic
96 0-5-10-26-32 1-5/4-14/9-20/11-15/11 unimarvel
97 0-10-16-26-32 1-14/9-7/6-20/11-15/11 swetismic
98 0-5-6-27-32 1-5/4-3/2-12/11-15/11 keenanismic
99 0-5-10-27-32 1-5/4-14/9-12/11-15/11 unimarvel
100 0-5-22-27-32 1-5/4-7/4-12/11-15/11 unimarvel
101 0-6-22-27-32 1-3/2-7/4-12/11-15/11 unimarvel
102 0-10-22-27-32 1-14/9-7/4-12/11-15/11 unimarvel
103 0-5-26-27-32 1-5/4-20/11-12/11-15/11 keenanismic
104 0-10-26-27-32 1-14/9-20/11-12/11-15/11 swetismic
105 0-1-6-7-33 1-6/5-3/2-9/5-18/11 utonal
106 0-6-7-12-33 1-3/2-9/5-9/8-18/11 utonal
107 0-6-7-16-33 1-3/2-9/5-7/6-18/11 swetismic-ratwolfsmic
108 0-1-7-17-33 1-6/5-9/5-7/5-18/11 swetismic
109 0-7-12-17-33 1-9/5-9/8-7/5-18/11 unimarvel
110 0-7-16-17-33 1-9/5-7/6-7/5-18/11 swetismic-ratwolfsmic
111 0-7-12-21-33 1-9/5-9/8-16/11-18/11 catadictmic
112 0-7-16-21-33 1-9/5-7/6-16/11-18/11 tridecimal marvel
113 0-12-17-26-33 1-9/8-7/5-20/11-18/11 tridecimal marvel
114 0-16-17-26-33 1-7/6-7/5-20/11-18/11 swetismic-ratwolfsmic
115 0-12-21-26-33 1-9/8-16/11-20/11-18/11 catadictmic
116 0-16-21-26-33 1-7/6-16/11-20/11-18/11 unimarvel
117 0-1-6-27-33 1-6/5-3/2-12/11-18/11 utonal
118 0-1-17-27-33 1-6/5-7/5-12/11-18/11 swetismic
119 0-17-26-27-33 1-7/5-20/11-12/11-18/11 swetismic-ratwolfsmic
120 0-21-26-27-33 1-16/11-20/11-12/11-18/11 otonal
121 0-6-16-32-33 1-3/2-7/6-15/11-18/11 swetismic
122 0-16-26-32-33 1-7/6-20/11-15/11-18/11 swetismic
123 0-6-27-32-33 1-3/2-12/11-15/11-18/11 otonal
124 0-26-27-32-33 1-20/11-12/11-15/11-18/11 otonal
125 0-2-3-9-35 1-13/9-26/15-13/10-13/11 utonal
126 0-2-9-14-35 1-13/9-13/10-13/8-13/11 utonal
127 0-9-14-21-35 1-13/10-13/8-16/11-13/11 catadictmic
128 0-9-14-26-35 1-13/10-13/8-20/11-13/11 marvel-catadictmic
129 0-9-21-26-35 1-13/10-16/11-20/11-13/11 marvel-catadictmic
130 0-14-21-26-35 1-13/8-16/11-20/11-13/11 catadictmic
131 0-21-26-33-35 1-16/11-20/11-18/11-13/11 otonal
132 0-26-32-33-35 1-20/11-15/11-18/11-13/11 otonal
133 0-10-16-17-43 1-14/9-7/6-7/5-14/11 utonal
134 0-10-16-22-43 1-14/9-7/6-7/4-14/11 utonal
135 0-10-17-22-43 1-14/9-7/5-7/4-14/11 utonal
136 0-16-17-22-43 1-7/6-7/5-7/4-14/11 utonal
137 0-16-21-22-43 1-7/6-16/11-7/4-14/11 keenanismic
138 0-10-16-26-43 1-14/9-7/6-20/11-14/11 swetismic
139 0-10-17-26-43 1-14/9-7/5-20/11-14/11 swetismic-ratwolfsmic
140 0-16-17-26-43 1-7/6-7/5-20/11-14/11 swetismic-ratwolfsmic
141 0-16-21-26-43 1-7/6-16/11-20/11-14/11 unimarvel
142 0-10-17-27-43 1-14/9-7/5-12/11-14/11 swetismic
143 0-10-22-27-43 1-14/9-7/4-12/11-14/11 unimarvel
144 0-17-22-27-43 1-7/5-7/4-12/11-14/11 unimarvel
145 0-21-22-27-43 1-16/11-7/4-12/11-14/11 keenanismic
146 0-10-26-27-43 1-14/9-20/11-12/11-14/11 swetismic
147 0-17-26-27-43 1-7/5-20/11-12/11-14/11 swetismic-ratwolfsmic
148 0-21-26-27-43 1-16/11-20/11-12/11-14/11 otonal
149 0-16-17-33-43 1-7/6-7/5-18/11-14/11 swetismic
150 0-16-21-33-43 1-7/6-16/11-18/11-14/11 unimarvel
151 0-16-26-33-43 1-7/6-20/11-18/11-14/11 swetismic
152 0-17-26-33-43 1-7/5-20/11-18/11-14/11 swetismic-ratwolfsmic
153 0-21-26-33-43 1-16/11-20/11-18/11-14/11 otonal
154 0-17-27-33-43 1-7/5-12/11-18/11-14/11 swetismic
155 0-21-27-33-43 1-16/11-12/11-18/11-14/11 otonal
156 0-26-27-33-43 1-20/11-12/11-18/11-14/11 otonal

Hexads

# Chord Transversal Type
1 0-2-5-7-12-14 1-13/9-5/4-9/5-9/8-13/8 catakleismoid
2 0-2-7-9-12-14 1-13/9-9/5-13/10-9/8-13/8 catakleismoid
3 0-2-7-9-14-16 1-13/9-9/5-13/10-13/8-7/6 dhanvantarismic-marveltwin
4 0-3-5-10-12-17 1-26/15-5/4-14/9-9/8-7/5 catakleismoid
5 0-5-7-10-12-17 1-5/4-9/5-14/9-9/8-7/5 catakleismoid
6 0-5-7-12-14-17 1-5/4-9/5-9/8-13/8-7/5 catakleismoid
7 0-5-7-12-14-21 1-5/4-9/5-9/8-13/8-16/11 beyla
8 0-7-9-12-14-21 1-9/5-13/10-9/8-13/8-16/11 isimud
9 0-7-9-14-16-21 1-9/5-13/10-13/8-7/6-16/11 beyla
10 0-5-10-12-17-22 1-5/4-14/9-9/8-7/5-7/4 marvel-marveltwin
11 0-5-10-12-17-26 1-5/4-14/9-9/8-7/5-20/11 catakleismic
12 0-5-12-14-17-26 1-5/4-9/8-13/8-7/5-20/11 hestia
13 0-5-12-14-21-26 1-5/4-9/8-13/8-16/11-20/11 keenanismic-ratwolfsmic
14 0-9-12-14-21-26 1-13/10-9/8-13/8-16/11-20/11 hestia
15 0-9-14-16-21-26 1-13/10-13/8-7/6-16/11-20/11 catakleismic
16 0-1-10-17-22-27 1-6/5-14/9-7/5-7/4-12/11 tridecimal marvel
17 0-5-10-17-22-27 1-5/4-14/9-7/5-7/4-12/11 unimarvel
18 0-5-10-17-26-27 1-5/4-14/9-7/5-20/11-12/11 tridecimal marvel
19 0-5-6-22-27-32 1-5/4-3/2-7/4-12/11-15/11 unimarvel
20 0-5-10-22-27-32 1-5/4-14/9-7/4-12/11-15/11 unimarvel
21 0-5-10-26-27-32 1-5/4-14/9-20/11-12/11-15/11 unimarvel
22 0-9-14-21-26-35 1-13/10-13/8-16/11-20/11-13/11 marvel-catadictmic
23 0-10-16-17-22-43 1-14/9-7/6-7/5-7/4-14/11 utonal
24 0-10-16-17-26-43 1-14/9-7/6-7/5-20/11-14/11 swetismic-ratwolfsmic
25 0-10-17-22-27-43 1-14/9-7/5-7/4-12/11-14/11 unimarvel
26 0-10-17-26-27-43 1-14/9-7/5-20/11-12/11-14/11 swetismic-ratwolfsmic
27 0-16-17-26-33-43 1-7/6-7/5-20/11-18/11-14/11 swetismic-ratwolfsmic
28 0-16-21-26-33-43 1-7/6-16/11-20/11-18/11-14/11 unimarvel
29 0-17-26-27-33-43 1-7/5-20/11-12/11-18/11-14/11 swetismic-ratwolfsmic
30 0-21-26-27-33-43 1-16/11-20/11-12/11-18/11-14/11 otonal
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