Catakleismic/11-limit chords: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Kleismic_family#Catakleismic|catakleismic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, by 385/384 keenanismic, and by 225/224 marvel. Chords requiring any two of 540/539, 385/384 or 225/224 are labeled unimarvel.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-29 02:56:40 UTC</tt>.<br>
: The original revision id was <tt>288714062</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Kleismic family#Catakleismic|catakleismic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, by 385/384 keenanismic, and by 225/224 marvel. Chords requiring any two of 540/539, 385/384 or 225/224 are labeled unimarvel.


Catakleismic has MOS of size 7, 11, 15, 19, 34, 53 and 72. It is a complex temperament and not much attention has been paid to it, but one notable feature it has is that 11-limit marvel (unimarvel) shrinks the kleisma to a very small interval in an optimal tuning, so very little tuning damage is incurred by catakleismic over that of marvel. Hence, catakleismic can be thought of as one way of organizing the chords of marvel, which are also listed below.
Catakleismic has MOS of size 7, 11, 15, 19, 34, 53 and 72. It is a complex temperament and not much attention has been paid to it, but one notable feature it has is that 11-limit marvel (unimarvel) shrinks the kleisma to a very small interval in an optimal tuning, so very little tuning damage is incurred by catakleismic over that of marvel. Hence, catakleismic can be thought of as one way of organizing the chords of marvel, which are also listed below.
 
=Triads=
=Triads=
|| Number || Chord || Transversal || Type ||
 
|| 1 || 0-1-6 || 1-6/5-3/2 || utonal ||
{| class="wikitable"
|| 2 || 0-5-6 || 1-5/4-3/2 || otonal ||
|-
|| 3 || 0-1-7 || 1-6/5-9/5 || otonal ||
| | Number
|| 4 || 0-6-7 || 1-3/2-9/5 || utonal ||
| | Chord
|| 5 || 0-5-10 || 1-5/4-14/9 || marvel ||
| | Transversal
|| 6 || 0-5-12 || 1-5/4-9/8 || otonal ||
| | Type
|| 7 || 0-6-12 || 1-3/2-9/8 || ambitonal ||
|-
|| 8 || 0-7-12 || 1-9/5-9/8 || utonal ||
| | 1
|| 9 || 0-6-16 || 1-3/2-7/6 || otonal ||
| | 0-1-6
|| 10 || 0-10-16 || 1-14/9-7/6 || utonal ||
| | 1-6/5-3/2
|| 11 || 0-1-17 || 1-6/5-7/5 || otonal ||
| | utonal
|| 12 || 0-5-17 || 1-5/4-7/5 || marvel ||
|-
|| 13 || 0-7-17 || 1-9/5-7/5 || otonal ||
| | 2
|| 14 || 0-10-17 || 1-14/9-7/5 || utonal ||
| | 0-5-6
|| 15 || 0-12-17 || 1-9/8-7/5 || marvel ||
| | 1-5/4-3/2
|| 16 || 0-16-17 || 1-7/6-7/5 || utonal ||
| | otonal
|| 17 || 0-5-21 || 1-5/4-16/11 || keenanismic ||
|-
|| 18 || 0-16-21 || 1-7/6-16/11 || keenanismic ||
| | 3
|| 19 || 0-1-22 || 1-6/5-7/4 || keenanismic ||
| | 0-1-7
|| 20 || 0-5-22 || 1-5/4-7/4 || otonal ||
| | 1-6/5-9/5
|| 21 || 0-6-22 || 1-3/2-7/4 || otonal ||
| | otonal
|| 22 || 0-10-22 || 1-14/9-7/4 || utonal ||
|-
|| 23 || 0-12-22 || 1-9/8-7/4 || otonal ||
| | 4
|| 24 || 0-16-22 || 1-7/6-7/4 || utonal ||
| | 0-6-7
|| 25 || 0-17-22 || 1-7/5-7/4 || utonal ||
| | 1-3/2-9/5
|| 26 || 0-21-22 || 1-16/11-7/4 || keenanismic ||
| | utonal
|| 27 || 0-5-26 || 1-5/4-20/11 || utonal ||
|-
|| 28 || 0-10-26 || 1-14/9-20/11 || swetismic ||
| | 5
|| 29 || 0-16-26 || 1-7/6-20/11 || swetismic ||
| | 0-5-10
|| 30 || 0-21-26 || 1-16/11-20/11 || otonal ||
| | 1-5/4-14/9
|| 31 || 0-1-27 || 1-6/5-12/11 || utonal ||
| | marvel
|| 32 || 0-5-27 || 1-5/4-12/11 || keenanismic ||
|-
|| 33 || 0-6-27 || 1-3/2-12/11 || utonal ||
| | 6
|| 34 || 0-10-27 || 1-14/9-12/11 || swetismic ||
| | 0-5-12
|| 35 || 0-17-27 || 1-7/5-12/11 || swetismic ||
| | 1-5/4-9/8
|| 36 || 0-21-27 || 1-16/11-12/11 || otonal ||
| | otonal
|| 37 || 0-22-27 || 1-7/4-12/11 || keenanismic ||
|-
|| 38 || 0-26-27 || 1-20/11-12/11 || otonal ||
| | 7
|| 39 || 0-6-33 || 1-3/2-18/11 || utonal ||
| | 0-6-12
|| 40 || 0-7-33 || 1-9/5-18/11 || utonal ||
| | 1-3/2-9/8
|| 41 || 0-12-33 || 1-9/8-18/11 || utonal ||
| | ambitonal
|| 42 || 0-16-33 || 1-7/6-18/11 || swetismic ||
|-
|| 43 || 0-17-33 || 1-7/5-18/11 || swetismic ||
| | 8
|| 44 || 0-21-33 || 1-16/11-18/11 || otonal ||
| | 0-7-12
|| 45 || 0-26-33 || 1-20/11-18/11 || otonal ||
| | 1-9/5-9/8
|| 46 || 0-27-33 || 1-12/11-18/11 || otonal ||
| | utonal
|| 47 || 0-10-43 || 1-14/9-14/11 || utonal ||
|-
|| 48 || 0-16-43 || 1-7/6-14/11 || utonal ||
| | 9
|| 49 || 0-17-43 || 1-7/5-14/11 || utonal ||
| | 0-6-16
|| 50 || 0-21-43 || 1-16/11-14/11 || otonal ||
| | 1-3/2-7/6
|| 51 || 0-22-43 || 1-7/4-14/11 || utonal ||
| | otonal
|| 52 || 0-26-43 || 1-20/11-14/11 || otonal ||
|-
|| 53 || 0-27-43 || 1-12/11-14/11 || otonal ||
| | 10
|| 54 || 0-33-43 || 1-18/11-14/11 || otonal ||
| | 0-10-16
| | 1-14/9-7/6
| | utonal
|-
| | 11
| | 0-1-17
| | 1-6/5-7/5
| | otonal
|-
| | 12
| | 0-5-17
| | 1-5/4-7/5
| | marvel
|-
| | 13
| | 0-7-17
| | 1-9/5-7/5
| | otonal
|-
| | 14
| | 0-10-17
| | 1-14/9-7/5
| | utonal
|-
| | 15
| | 0-12-17
| | 1-9/8-7/5
| | marvel
|-
| | 16
| | 0-16-17
| | 1-7/6-7/5
| | utonal
|-
| | 17
| | 0-5-21
| | 1-5/4-16/11
| | keenanismic
|-
| | 18
| | 0-16-21
| | 1-7/6-16/11
| | keenanismic
|-
| | 19
| | 0-1-22
| | 1-6/5-7/4
| | keenanismic
|-
| | 20
| | 0-5-22
| | 1-5/4-7/4
| | otonal
|-
| | 21
| | 0-6-22
| | 1-3/2-7/4
| | otonal
|-
| | 22
| | 0-10-22
| | 1-14/9-7/4
| | utonal
|-
| | 23
| | 0-12-22
| | 1-9/8-7/4
| | otonal
|-
| | 24
| | 0-16-22
| | 1-7/6-7/4
| | utonal
|-
| | 25
| | 0-17-22
| | 1-7/5-7/4
| | utonal
|-
| | 26
| | 0-21-22
| | 1-16/11-7/4
| | keenanismic
|-
| | 27
| | 0-5-26
| | 1-5/4-20/11
| | utonal
|-
| | 28
| | 0-10-26
| | 1-14/9-20/11
| | swetismic
|-
| | 29
| | 0-16-26
| | 1-7/6-20/11
| | swetismic
|-
| | 30
| | 0-21-26
| | 1-16/11-20/11
| | otonal
|-
| | 31
| | 0-1-27
| | 1-6/5-12/11
| | utonal
|-
| | 32
| | 0-5-27
| | 1-5/4-12/11
| | keenanismic
|-
| | 33
| | 0-6-27
| | 1-3/2-12/11
| | utonal
|-
| | 34
| | 0-10-27
| | 1-14/9-12/11
| | swetismic
|-
| | 35
| | 0-17-27
| | 1-7/5-12/11
| | swetismic
|-
| | 36
| | 0-21-27
| | 1-16/11-12/11
| | otonal
|-
| | 37
| | 0-22-27
| | 1-7/4-12/11
| | keenanismic
|-
| | 38
| | 0-26-27
| | 1-20/11-12/11
| | otonal
|-
| | 39
| | 0-6-33
| | 1-3/2-18/11
| | utonal
|-
| | 40
| | 0-7-33
| | 1-9/5-18/11
| | utonal
|-
| | 41
| | 0-12-33
| | 1-9/8-18/11
| | utonal
|-
| | 42
| | 0-16-33
| | 1-7/6-18/11
| | swetismic
|-
| | 43
| | 0-17-33
| | 1-7/5-18/11
| | swetismic
|-
| | 44
| | 0-21-33
| | 1-16/11-18/11
| | otonal
|-
| | 45
| | 0-26-33
| | 1-20/11-18/11
| | otonal
|-
| | 46
| | 0-27-33
| | 1-12/11-18/11
| | otonal
|-
| | 47
| | 0-10-43
| | 1-14/9-14/11
| | utonal
|-
| | 48
| | 0-16-43
| | 1-7/6-14/11
| | utonal
|-
| | 49
| | 0-17-43
| | 1-7/5-14/11
| | utonal
|-
| | 50
| | 0-21-43
| | 1-16/11-14/11
| | otonal
|-
| | 51
| | 0-22-43
| | 1-7/4-14/11
| | utonal
|-
| | 52
| | 0-26-43
| | 1-20/11-14/11
| | otonal
|-
| | 53
| | 0-27-43
| | 1-12/11-14/11
| | otonal
|-
| | 54
| | 0-33-43
| | 1-18/11-14/11
| | otonal
|}


=Tetrads=
=Tetrads=
|| Number || Chord || Transversal || Type ||
 
|| 1 || 0-1-6-7 || 1-6/5-3/2-9/5 || ambitonal ||
{| class="wikitable"
|| 2 || 0-5-6-12 || 1-5/4-3/2-9/8 || otonal ||
|-
|| 3 || 0-6-7-12 || 1-3/2-9/5-9/8 || utonal ||
| | Number
|| 4 || 0-1-7-17 || 1-6/5-9/5-7/5 || otonal ||
| | Chord
|| 5 || 0-5-10-17 || 1-5/4-14/9-7/5 || marvel ||
| | Transversal
|| 6 || 0-5-12-17 || 1-5/4-9/8-7/5 || marvel ||
| | Type
|| 7 || 0-7-12-17 || 1-9/5-9/8-7/5 || marvel ||
|-
|| 8 || 0-10-16-17 || 1-14/9-7/6-7/5 || utonal ||
| | 1
|| 9 || 0-1-6-22 || 1-6/5-3/2-7/4 || keenanismic ||
| | 0-1-6-7
|| 10 || 0-5-6-22 || 1-5/4-3/2-7/4 || otonal ||
| | 1-6/5-3/2-9/5
|| 11 || 0-5-10-22 || 1-5/4-14/9-7/4 || marvel ||
| | ambitonal
|| 12 || 0-5-12-22 || 1-5/4-9/8-7/4 || otonal ||
|-
|| 13 || 0-6-12-22 || 1-3/2-9/8-7/4 || otonal ||
| | 2
|| 14 || 0-6-16-22 || 1-3/2-7/6-7/4 || ambitonal ||
| | 0-5-6-12
|| 15 || 0-10-16-22 || 1-14/9-7/6-7/4 || utonal ||
| | 1-5/4-3/2-9/8
|| 16 || 0-1-17-22 || 1-6/5-7/5-7/4 || keenanismic ||
| | otonal
|| 17 || 0-5-17-22 || 1-5/4-7/5-7/4 || marvel ||
|-
|| 18 || 0-10-17-22 || 1-14/9-7/5-7/4 || utonal ||
| | 3
|| 19 || 0-12-17-22 || 1-9/8-7/5-7/4 || marvel ||
| | 0-6-7-12
|| 20 || 0-16-17-22 || 1-7/6-7/5-7/4 || utonal ||
| | 1-3/2-9/5-9/8
|| 21 || 0-5-21-22 || 1-5/4-16/11-7/4 || keenanismic ||
| | utonal
|| 22 || 0-16-21-22 || 1-7/6-16/11-7/4 || keenanismic ||
|-
|| 23 || 0-5-10-26 || 1-5/4-14/9-20/11 || unimarv ||
| | 4
|| 24 || 0-10-16-26 || 1-14/9-7/6-20/11 || swetismic ||
| | 0-1-7-17
|| 25 || 0-5-21-26 || 1-5/4-16/11-20/11 || keenanismic ||
| | 1-6/5-9/5-7/5
|| 26 || 0-16-21-26 || 1-7/6-16/11-20/11 || unimarv ||
| | otonal
|| 27 || 0-1-6-27 || 1-6/5-3/2-12/11 || utonal ||
|-
|| 28 || 0-5-6-27 || 1-5/4-3/2-12/11 || keenanismic ||
| | 5
|| 29 || 0-5-10-27 || 1-5/4-14/9-12/11 || unimarv ||
| | 0-5-10-17
|| 30 || 0-1-17-27 || 1-6/5-7/5-12/11 || swetismic ||
| | 1-5/4-14/9-7/5
|| 31 || 0-5-17-27 || 1-5/4-7/5-12/11 || unimarv ||
| | marvel
|| 32 || 0-10-17-27 || 1-14/9-7/5-12/11 || swetismic ||
|-
|| 33 || 0-5-21-27 || 1-5/4-16/11-12/11 || keenanismic ||
| | 6
|| 34 || 0-1-22-27 || 1-6/5-7/4-12/11 || keenanismic ||
| | 0-5-12-17
|| 35 || 0-5-22-27 || 1-5/4-7/4-12/11 || keenanismic ||
| | 1-5/4-9/8-7/5
|| 36 || 0-6-22-27 || 1-3/2-7/4-12/11 || keenanismic ||
| | marvel
|| 37 || 0-10-22-27 || 1-14/9-7/4-12/11 || unimarv ||
|-
|| 38 || 0-17-22-27 || 1-7/5-7/4-12/11 || unimarv ||
| | 7
|| 39 || 0-21-22-27 || 1-16/11-7/4-12/11 || keenanismic ||
| | 0-7-12-17
|| 40 || 0-5-26-27 || 1-5/4-20/11-12/11 || keenanismic ||
| | 1-9/5-9/8-7/5
|| 41 || 0-10-26-27 || 1-14/9-20/11-12/11 || swetismic ||
| | marvel
|| 42 || 0-21-26-27 || 1-16/11-20/11-12/11 || otonal ||
|-
|| 43 || 0-6-7-33 || 1-3/2-9/5-18/11 || utonal ||
| | 8
|| 44 || 0-6-12-33 || 1-3/2-9/8-18/11 || utonal ||
| | 0-10-16-17
|| 45 || 0-7-12-33 || 1-9/5-9/8-18/11 || utonal ||
| | 1-14/9-7/6-7/5
|| 46 || 0-6-16-33 || 1-3/2-7/6-18/11 || swetismic ||
| | utonal
|| 47 || 0-7-17-33 || 1-9/5-7/5-18/11 || swetismic ||
|-
|| 48 || 0-12-17-33 || 1-9/8-7/5-18/11 || unimarv ||
| | 9
|| 49 || 0-16-17-33 || 1-7/6-7/5-18/11 || swetismic ||
| | 0-1-6-22
|| 50 || 0-16-21-33 || 1-7/6-16/11-18/11 || unimarv ||
| | 1-6/5-3/2-7/4
|| 51 || 0-16-26-33 || 1-7/6-20/11-18/11 || swetismic ||
| | keenanismic
|| 52 || 0-21-26-33 || 1-16/11-20/11-18/11 || otonal ||
|-
|| 53 || 0-6-27-33 || 1-3/2-12/11-18/11 || ambitonal ||
| | 10
|| 54 || 0-17-27-33 || 1-7/5-12/11-18/11 || swetismic ||
| | 0-5-6-22
|| 55 || 0-21-27-33 || 1-16/11-12/11-18/11 || otonal ||
| | 1-5/4-3/2-7/4
|| 56 || 0-26-27-33 || 1-20/11-12/11-18/11 || otonal ||
| | otonal
|| 57 || 0-10-16-43 || 1-14/9-7/6-14/11 || utonal ||
|-
|| 58 || 0-10-17-43 || 1-14/9-7/5-14/11 || utonal ||
| | 11
|| 59 || 0-16-17-43 || 1-7/6-7/5-14/11 || utonal ||
| | 0-5-10-22
|| 60 || 0-16-21-43 || 1-7/6-16/11-14/11 || keenanismic ||
| | 1-5/4-14/9-7/4
|| 61 || 0-10-22-43 || 1-14/9-7/4-14/11 || utonal ||
| | marvel
|| 62 || 0-16-22-43 || 1-7/6-7/4-14/11 || utonal ||
|-
|| 63 || 0-17-22-43 || 1-7/5-7/4-14/11 || utonal ||
| | 12
|| 64 || 0-21-22-43 || 1-16/11-7/4-14/11 || keenanismic ||
| | 0-5-12-22
|| 65 || 0-10-26-43 || 1-14/9-20/11-14/11 || swetismic ||
| | 1-5/4-9/8-7/4
|| 66 || 0-16-26-43 || 1-7/6-20/11-14/11 || swetismic ||
| | otonal
|| 67 || 0-21-26-43 || 1-16/11-20/11-14/11 || otonal ||
|-
|| 68 || 0-10-27-43 || 1-14/9-12/11-14/11 || swetismic ||
| | 13
|| 69 || 0-17-27-43 || 1-7/5-12/11-14/11 || swetismic ||
| | 0-6-12-22
|| 70 || 0-21-27-43 || 1-16/11-12/11-14/11 || otonal ||
| | 1-3/2-9/8-7/4
|| 71 || 0-22-27-43 || 1-7/4-12/11-14/11 || keenanismic ||
| | otonal
|| 72 || 0-26-27-43 || 1-20/11-12/11-14/11 || otonal ||
|-
|| 73 || 0-16-33-43 || 1-7/6-18/11-14/11 || swetismic ||
| | 14
|| 74 || 0-17-33-43 || 1-7/5-18/11-14/11 || swetismic ||
| | 0-6-16-22
|| 75 || 0-21-33-43 || 1-16/11-18/11-14/11 || otonal ||
| | 1-3/2-7/6-7/4
|| 76 || 0-26-33-43 || 1-20/11-18/11-14/11 || otonal ||
| | ambitonal
|| 77 || 0-27-33-43 || 1-12/11-18/11-14/11 || otonal ||
|-
| | 15
| | 0-10-16-22
| | 1-14/9-7/6-7/4
| | utonal
|-
| | 16
| | 0-1-17-22
| | 1-6/5-7/5-7/4
| | keenanismic
|-
| | 17
| | 0-5-17-22
| | 1-5/4-7/5-7/4
| | marvel
|-
| | 18
| | 0-10-17-22
| | 1-14/9-7/5-7/4
| | utonal
|-
| | 19
| | 0-12-17-22
| | 1-9/8-7/5-7/4
| | marvel
|-
| | 20
| | 0-16-17-22
| | 1-7/6-7/5-7/4
| | utonal
|-
| | 21
| | 0-5-21-22
| | 1-5/4-16/11-7/4
| | keenanismic
|-
| | 22
| | 0-16-21-22
| | 1-7/6-16/11-7/4
| | keenanismic
|-
| | 23
| | 0-5-10-26
| | 1-5/4-14/9-20/11
| | unimarv
|-
| | 24
| | 0-10-16-26
| | 1-14/9-7/6-20/11
| | swetismic
|-
| | 25
| | 0-5-21-26
| | 1-5/4-16/11-20/11
| | keenanismic
|-
| | 26
| | 0-16-21-26
| | 1-7/6-16/11-20/11
| | unimarv
|-
| | 27
| | 0-1-6-27
| | 1-6/5-3/2-12/11
| | utonal
|-
| | 28
| | 0-5-6-27
| | 1-5/4-3/2-12/11
| | keenanismic
|-
| | 29
| | 0-5-10-27
| | 1-5/4-14/9-12/11
| | unimarv
|-
| | 30
| | 0-1-17-27
| | 1-6/5-7/5-12/11
| | swetismic
|-
| | 31
| | 0-5-17-27
| | 1-5/4-7/5-12/11
| | unimarv
|-
| | 32
| | 0-10-17-27
| | 1-14/9-7/5-12/11
| | swetismic
|-
| | 33
| | 0-5-21-27
| | 1-5/4-16/11-12/11
| | keenanismic
|-
| | 34
| | 0-1-22-27
| | 1-6/5-7/4-12/11
| | keenanismic
|-
| | 35
| | 0-5-22-27
| | 1-5/4-7/4-12/11
| | keenanismic
|-
| | 36
| | 0-6-22-27
| | 1-3/2-7/4-12/11
| | keenanismic
|-
| | 37
| | 0-10-22-27
| | 1-14/9-7/4-12/11
| | unimarv
|-
| | 38
| | 0-17-22-27
| | 1-7/5-7/4-12/11
| | unimarv
|-
| | 39
| | 0-21-22-27
| | 1-16/11-7/4-12/11
| | keenanismic
|-
| | 40
| | 0-5-26-27
| | 1-5/4-20/11-12/11
| | keenanismic
|-
| | 41
| | 0-10-26-27
| | 1-14/9-20/11-12/11
| | swetismic
|-
| | 42
| | 0-21-26-27
| | 1-16/11-20/11-12/11
| | otonal
|-
| | 43
| | 0-6-7-33
| | 1-3/2-9/5-18/11
| | utonal
|-
| | 44
| | 0-6-12-33
| | 1-3/2-9/8-18/11
| | utonal
|-
| | 45
| | 0-7-12-33
| | 1-9/5-9/8-18/11
| | utonal
|-
| | 46
| | 0-6-16-33
| | 1-3/2-7/6-18/11
| | swetismic
|-
| | 47
| | 0-7-17-33
| | 1-9/5-7/5-18/11
| | swetismic
|-
| | 48
| | 0-12-17-33
| | 1-9/8-7/5-18/11
| | unimarv
|-
| | 49
| | 0-16-17-33
| | 1-7/6-7/5-18/11
| | swetismic
|-
| | 50
| | 0-16-21-33
| | 1-7/6-16/11-18/11
| | unimarv
|-
| | 51
| | 0-16-26-33
| | 1-7/6-20/11-18/11
| | swetismic
|-
| | 52
| | 0-21-26-33
| | 1-16/11-20/11-18/11
| | otonal
|-
| | 53
| | 0-6-27-33
| | 1-3/2-12/11-18/11
| | ambitonal
|-
| | 54
| | 0-17-27-33
| | 1-7/5-12/11-18/11
| | swetismic
|-
| | 55
| | 0-21-27-33
| | 1-16/11-12/11-18/11
| | otonal
|-
| | 56
| | 0-26-27-33
| | 1-20/11-12/11-18/11
| | otonal
|-
| | 57
| | 0-10-16-43
| | 1-14/9-7/6-14/11
| | utonal
|-
| | 58
| | 0-10-17-43
| | 1-14/9-7/5-14/11
| | utonal
|-
| | 59
| | 0-16-17-43
| | 1-7/6-7/5-14/11
| | utonal
|-
| | 60
| | 0-16-21-43
| | 1-7/6-16/11-14/11
| | keenanismic
|-
| | 61
| | 0-10-22-43
| | 1-14/9-7/4-14/11
| | utonal
|-
| | 62
| | 0-16-22-43
| | 1-7/6-7/4-14/11
| | utonal
|-
| | 63
| | 0-17-22-43
| | 1-7/5-7/4-14/11
| | utonal
|-
| | 64
| | 0-21-22-43
| | 1-16/11-7/4-14/11
| | keenanismic
|-
| | 65
| | 0-10-26-43
| | 1-14/9-20/11-14/11
| | swetismic
|-
| | 66
| | 0-16-26-43
| | 1-7/6-20/11-14/11
| | swetismic
|-
| | 67
| | 0-21-26-43
| | 1-16/11-20/11-14/11
| | otonal
|-
| | 68
| | 0-10-27-43
| | 1-14/9-12/11-14/11
| | swetismic
|-
| | 69
| | 0-17-27-43
| | 1-7/5-12/11-14/11
| | swetismic
|-
| | 70
| | 0-21-27-43
| | 1-16/11-12/11-14/11
| | otonal
|-
| | 71
| | 0-22-27-43
| | 1-7/4-12/11-14/11
| | keenanismic
|-
| | 72
| | 0-26-27-43
| | 1-20/11-12/11-14/11
| | otonal
|-
| | 73
| | 0-16-33-43
| | 1-7/6-18/11-14/11
| | swetismic
|-
| | 74
| | 0-17-33-43
| | 1-7/5-18/11-14/11
| | swetismic
|-
| | 75
| | 0-21-33-43
| | 1-16/11-18/11-14/11
| | otonal
|-
| | 76
| | 0-26-33-43
| | 1-20/11-18/11-14/11
| | otonal
|-
| | 77
| | 0-27-33-43
| | 1-12/11-18/11-14/11
| | otonal
|}


=Pentads=
=Pentads=
|| Number || Chord || Transversal || Type ||
 
|| 1 || 0-5-6-12-22 || 1-5/4-3/2-9/8-7/4 || otonal ||
{| class="wikitable"
|| 2 || 0-5-10-17-22 || 1-5/4-14/9-7/5-7/4 || marvel ||
|-
|| 3 || 0-5-12-17-22 || 1-5/4-9/8-7/5-7/4 || marvel ||
| | Number
|| 4 || 0-10-16-17-22 || 1-14/9-7/6-7/5-7/4 || utonal ||
| | Chord
|| 5 || 0-5-10-17-27 || 1-5/4-14/9-7/5-12/11 || unimarv ||
| | Transversal
|| 6 || 0-1-6-22-27 || 1-6/5-3/2-7/4-12/11 || keenanismic ||
| | Type
|| 7 || 0-5-6-22-27 || 1-5/4-3/2-7/4-12/11 || keenanismic ||
|-
|| 8 || 0-5-10-22-27 || 1-5/4-14/9-7/4-12/11 || unimarv ||
| | 1
|| 9 || 0-1-17-22-27 || 1-6/5-7/5-7/4-12/11 || unimarv ||
| | 0-5-6-12-22
|| 10 || 0-5-17-22-27 || 1-5/4-7/5-7/4-12/11 || unimarv ||
| | 1-5/4-3/2-9/8-7/4
|| 11 || 0-10-17-22-27 || 1-14/9-7/5-7/4-12/11 || unimarv ||
| | otonal
|| 12 || 0-5-21-22-27 || 1-5/4-16/11-7/4-12/11 || keenanismic ||
|-
|| 13 || 0-5-10-26-27 || 1-5/4-14/9-20/11-12/11 || unimarv ||
| | 2
|| 14 || 0-5-21-26-27 || 1-5/4-16/11-20/11-12/11 || keenanismic ||
| | 0-5-10-17-22
|| 15 || 0-6-7-12-33 || 1-3/2-9/5-9/8-18/11 || utonal ||
| | 1-5/4-14/9-7/5-7/4
|| 16 || 0-7-12-17-33 || 1-9/5-9/8-7/5-18/11 || unimarv ||
| | marvel
|| 17 || 0-16-21-26-33 || 1-7/6-16/11-20/11-18/11 || unimarv ||
|-
|| 18 || 0-21-26-27-33 || 1-16/11-20/11-12/11-18/11 || otonal ||
| | 3
|| 19 || 0-10-16-17-43 || 1-14/9-7/6-7/5-14/11 || utonal ||
| | 0-5-12-17-22
|| 20 || 0-10-16-22-43 || 1-14/9-7/6-7/4-14/11 || utonal ||
| | 1-5/4-9/8-7/5-7/4
|| 21 || 0-10-17-22-43 || 1-14/9-7/5-7/4-14/11 || utonal ||
| | marvel
|| 22 || 0-16-17-22-43 || 1-7/6-7/5-7/4-14/11 || utonal ||
|-
|| 23 || 0-16-21-22-43 || 1-7/6-16/11-7/4-14/11 || keenanismic ||
| | 4
|| 24 || 0-10-16-26-43 || 1-14/9-7/6-20/11-14/11 || swetismic ||
| | 0-10-16-17-22
|| 25 || 0-16-21-26-43 || 1-7/6-16/11-20/11-14/11 || unimarv ||
| | 1-14/9-7/6-7/5-7/4
|| 26 || 0-10-17-27-43 || 1-14/9-7/5-12/11-14/11 || swetismic ||
| | utonal
|| 27 || 0-10-22-27-43 || 1-14/9-7/4-12/11-14/11 || unimarv ||
|-
|| 28 || 0-17-22-27-43 || 1-7/5-7/4-12/11-14/11 || unimarv ||
| | 5
|| 29 || 0-21-22-27-43 || 1-16/11-7/4-12/11-14/11 || keenanismic ||
| | 0-5-10-17-27
|| 30 || 0-10-26-27-43 || 1-14/9-20/11-12/11-14/11 || swetismic ||
| | 1-5/4-14/9-7/5-12/11
|| 31 || 0-21-26-27-43 || 1-16/11-20/11-12/11-14/11 || otonal ||
| | unimarv
|| 32 || 0-16-17-33-43 || 1-7/6-7/5-18/11-14/11 || swetismic ||
|-
|| 33 || 0-16-21-33-43 || 1-7/6-16/11-18/11-14/11 || unimarv ||
| | 6
|| 34 || 0-16-26-33-43 || 1-7/6-20/11-18/11-14/11 || swetismic ||
| | 0-1-6-22-27
|| 35 || 0-21-26-33-43 || 1-16/11-20/11-18/11-14/11 || otonal ||
| | 1-6/5-3/2-7/4-12/11
|| 36 || 0-17-27-33-43 || 1-7/5-12/11-18/11-14/11 || swetismic ||
| | keenanismic
|| 37 || 0-21-27-33-43 || 1-16/11-12/11-18/11-14/11 || otonal ||
|-
|| 38 || 0-26-27-33-43 || 1-20/11-12/11-18/11-14/11 || otonal ||
| | 7
| | 0-5-6-22-27
| | 1-5/4-3/2-7/4-12/11
| | keenanismic
|-
| | 8
| | 0-5-10-22-27
| | 1-5/4-14/9-7/4-12/11
| | unimarv
|-
| | 9
| | 0-1-17-22-27
| | 1-6/5-7/5-7/4-12/11
| | unimarv
|-
| | 10
| | 0-5-17-22-27
| | 1-5/4-7/5-7/4-12/11
| | unimarv
|-
| | 11
| | 0-10-17-22-27
| | 1-14/9-7/5-7/4-12/11
| | unimarv
|-
| | 12
| | 0-5-21-22-27
| | 1-5/4-16/11-7/4-12/11
| | keenanismic
|-
| | 13
| | 0-5-10-26-27
| | 1-5/4-14/9-20/11-12/11
| | unimarv
|-
| | 14
| | 0-5-21-26-27
| | 1-5/4-16/11-20/11-12/11
| | keenanismic
|-
| | 15
| | 0-6-7-12-33
| | 1-3/2-9/5-9/8-18/11
| | utonal
|-
| | 16
| | 0-7-12-17-33
| | 1-9/5-9/8-7/5-18/11
| | unimarv
|-
| | 17
| | 0-16-21-26-33
| | 1-7/6-16/11-20/11-18/11
| | unimarv
|-
| | 18
| | 0-21-26-27-33
| | 1-16/11-20/11-12/11-18/11
| | otonal
|-
| | 19
| | 0-10-16-17-43
| | 1-14/9-7/6-7/5-14/11
| | utonal
|-
| | 20
| | 0-10-16-22-43
| | 1-14/9-7/6-7/4-14/11
| | utonal
|-
| | 21
| | 0-10-17-22-43
| | 1-14/9-7/5-7/4-14/11
| | utonal
|-
| | 22
| | 0-16-17-22-43
| | 1-7/6-7/5-7/4-14/11
| | utonal
|-
| | 23
| | 0-16-21-22-43
| | 1-7/6-16/11-7/4-14/11
| | keenanismic
|-
| | 24
| | 0-10-16-26-43
| | 1-14/9-7/6-20/11-14/11
| | swetismic
|-
| | 25
| | 0-16-21-26-43
| | 1-7/6-16/11-20/11-14/11
| | unimarv
|-
| | 26
| | 0-10-17-27-43
| | 1-14/9-7/5-12/11-14/11
| | swetismic
|-
| | 27
| | 0-10-22-27-43
| | 1-14/9-7/4-12/11-14/11
| | unimarv
|-
| | 28
| | 0-17-22-27-43
| | 1-7/5-7/4-12/11-14/11
| | unimarv
|-
| | 29
| | 0-21-22-27-43
| | 1-16/11-7/4-12/11-14/11
| | keenanismic
|-
| | 30
| | 0-10-26-27-43
| | 1-14/9-20/11-12/11-14/11
| | swetismic
|-
| | 31
| | 0-21-26-27-43
| | 1-16/11-20/11-12/11-14/11
| | otonal
|-
| | 32
| | 0-16-17-33-43
| | 1-7/6-7/5-18/11-14/11
| | swetismic
|-
| | 33
| | 0-16-21-33-43
| | 1-7/6-16/11-18/11-14/11
| | unimarv
|-
| | 34
| | 0-16-26-33-43
| | 1-7/6-20/11-18/11-14/11
| | swetismic
|-
| | 35
| | 0-21-26-33-43
| | 1-16/11-20/11-18/11-14/11
| | otonal
|-
| | 36
| | 0-17-27-33-43
| | 1-7/5-12/11-18/11-14/11
| | swetismic
|-
| | 37
| | 0-21-27-33-43
| | 1-16/11-12/11-18/11-14/11
| | otonal
|-
| | 38
| | 0-26-27-33-43
| | 1-20/11-12/11-18/11-14/11
| | otonal
|}


=Hexads=
=Hexads=
|| Number || Chord || Transversal || Type ||
|| 1 || 0-5-10-17-22-27 || 1-5/4-14/9-7/5-7/4-12/11 || unimarv ||
|| 2 || 0-10-16-17-22-43 || 1-14/9-7/6-7/5-7/4-14/11 || utonal ||
|| 3 || 0-10-17-22-27-43 || 1-14/9-7/5-7/4-12/11-14/11 || unimarv ||
|| 4 || 0-16-21-26-33-43 || 1-7/6-16/11-20/11-18/11-14/11 || unimarv ||
|| 5 || 0-21-26-27-33-43 || 1-16/11-20/11-12/11-18/11-14/11 || otonal ||
</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chords of catakleismic&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Below are listed the &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;dyadic chords&lt;/a&gt; of 11-limit &lt;a class="wiki_link" href="/Kleismic%20family#Catakleismic"&gt;catakleismic temperament&lt;/a&gt;. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, by 385/384 keenanismic, and by 225/224 marvel. Chords requiring any two of 540/539, 385/384 or 225/224 are labeled unimarvel.&lt;br /&gt;
&lt;br /&gt;
Catakleismic has MOS of size 7, 11, 15, 19, 34, 53 and 72. It is a complex temperament and not much attention has been paid to it, but one notable feature it has is that 11-limit marvel (unimarvel) shrinks the kleisma to a very small interval in an optimal tuning, so very little tuning damage is incurred by catakleismic over that of marvel. Hence, catakleismic can be thought of as one way of organizing the chords of marvel, which are also listed below.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Triads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Triads&lt;/h1&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-12-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-12-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-20/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-20/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-20/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-17-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-26-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-12-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-17-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-26-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-17-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-22-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-26-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Tetrads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Tetrads&lt;/h1&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-6-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-6-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-7-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-7-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-9/5-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-10-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-12-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/8-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-12-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-16-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-6-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-6-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-10-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-12-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/8-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-12-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/8-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-16-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-7/6-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-16-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-12-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-21-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-21-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-10-26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-20/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-16-26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-20/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-21-26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11-20/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-21-26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-20/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-6-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-6-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-10-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-17-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-17-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-17-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-21-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-17-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-26-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-20/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-26-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-20/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-26-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-7-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-12-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-12-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-16-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-7/6-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-17-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-12-17-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-17-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-21-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-26-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-20/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-26-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-27-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-17-27-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;55&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-27-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-26-27-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-16-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-17-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;59&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-17-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-21-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-22-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;62&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-22-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;63&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-17-22-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;64&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-22-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-26-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-20/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;66&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-26-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-20/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;67&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-26-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;68&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-27-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-17-27-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-27-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;71&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-22-27-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-26-27-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;73&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;74&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-17-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;75&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;76&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-26-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;77&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Pentads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pentads&lt;/h1&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-6-12-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-9/8-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-10-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-12-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/8-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-16-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-10-17-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-6-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-6-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-10-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-17-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-17-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-17-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-21-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-10-26-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-20/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-21-26-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11-20/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-7-12-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5-9/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-12-17-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-21-26-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-20/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-26-27-33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-16-17-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-16-22-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-17-22-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-17-22-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-21-22-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-16-26-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-20/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-21-26-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-20/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-17-27-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-22-27-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/4-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-17-22-27-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-7/4-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-22-27-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-7/4-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-26-27-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-20/11-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-26-27-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-17-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-21-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-26-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-20/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-26-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-17-27-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-27-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-12/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-26-27-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-12/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Hexads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Hexads&lt;/h1&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-10-17-22-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-7/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-16-17-22-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-7/5-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-17-22-27-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-7/4-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-21-26-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-20/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-21-26-27-33-43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-12/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
{| class="wikitable"
|-
| | Number
| | Chord
| | Transversal
| | Type
|-
| | 1
| | 0-5-10-17-22-27
| | 1-5/4-14/9-7/5-7/4-12/11
| | unimarv
|-
| | 2
| | 0-10-16-17-22-43
| | 1-14/9-7/6-7/5-7/4-14/11
| | utonal
|-
| | 3
| | 0-10-17-22-27-43
| | 1-14/9-7/5-7/4-12/11-14/11
| | unimarv
|-
| | 4
| | 0-16-21-26-33-43
| | 1-7/6-16/11-20/11-18/11-14/11
| | unimarv
|-
| | 5
| | 0-21-26-27-33-43
| | 1-16/11-20/11-12/11-18/11-14/11
| | otonal
|}

Revision as of 00:00, 17 July 2018

Below are listed the dyadic chords of 11-limit catakleismic temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, by 385/384 keenanismic, and by 225/224 marvel. Chords requiring any two of 540/539, 385/384 or 225/224 are labeled unimarvel.

Catakleismic has MOS of size 7, 11, 15, 19, 34, 53 and 72. It is a complex temperament and not much attention has been paid to it, but one notable feature it has is that 11-limit marvel (unimarvel) shrinks the kleisma to a very small interval in an optimal tuning, so very little tuning damage is incurred by catakleismic over that of marvel. Hence, catakleismic can be thought of as one way of organizing the chords of marvel, which are also listed below.

Triads

Number Chord Transversal Type
1 0-1-6 1-6/5-3/2 utonal
2 0-5-6 1-5/4-3/2 otonal
3 0-1-7 1-6/5-9/5 otonal
4 0-6-7 1-3/2-9/5 utonal
5 0-5-10 1-5/4-14/9 marvel
6 0-5-12 1-5/4-9/8 otonal
7 0-6-12 1-3/2-9/8 ambitonal
8 0-7-12 1-9/5-9/8 utonal
9 0-6-16 1-3/2-7/6 otonal
10 0-10-16 1-14/9-7/6 utonal
11 0-1-17 1-6/5-7/5 otonal
12 0-5-17 1-5/4-7/5 marvel
13 0-7-17 1-9/5-7/5 otonal
14 0-10-17 1-14/9-7/5 utonal
15 0-12-17 1-9/8-7/5 marvel
16 0-16-17 1-7/6-7/5 utonal
17 0-5-21 1-5/4-16/11 keenanismic
18 0-16-21 1-7/6-16/11 keenanismic
19 0-1-22 1-6/5-7/4 keenanismic
20 0-5-22 1-5/4-7/4 otonal
21 0-6-22 1-3/2-7/4 otonal
22 0-10-22 1-14/9-7/4 utonal
23 0-12-22 1-9/8-7/4 otonal
24 0-16-22 1-7/6-7/4 utonal
25 0-17-22 1-7/5-7/4 utonal
26 0-21-22 1-16/11-7/4 keenanismic
27 0-5-26 1-5/4-20/11 utonal
28 0-10-26 1-14/9-20/11 swetismic
29 0-16-26 1-7/6-20/11 swetismic
30 0-21-26 1-16/11-20/11 otonal
31 0-1-27 1-6/5-12/11 utonal
32 0-5-27 1-5/4-12/11 keenanismic
33 0-6-27 1-3/2-12/11 utonal
34 0-10-27 1-14/9-12/11 swetismic
35 0-17-27 1-7/5-12/11 swetismic
36 0-21-27 1-16/11-12/11 otonal
37 0-22-27 1-7/4-12/11 keenanismic
38 0-26-27 1-20/11-12/11 otonal
39 0-6-33 1-3/2-18/11 utonal
40 0-7-33 1-9/5-18/11 utonal
41 0-12-33 1-9/8-18/11 utonal
42 0-16-33 1-7/6-18/11 swetismic
43 0-17-33 1-7/5-18/11 swetismic
44 0-21-33 1-16/11-18/11 otonal
45 0-26-33 1-20/11-18/11 otonal
46 0-27-33 1-12/11-18/11 otonal
47 0-10-43 1-14/9-14/11 utonal
48 0-16-43 1-7/6-14/11 utonal
49 0-17-43 1-7/5-14/11 utonal
50 0-21-43 1-16/11-14/11 otonal
51 0-22-43 1-7/4-14/11 utonal
52 0-26-43 1-20/11-14/11 otonal
53 0-27-43 1-12/11-14/11 otonal
54 0-33-43 1-18/11-14/11 otonal

Tetrads

Number Chord Transversal Type
1 0-1-6-7 1-6/5-3/2-9/5 ambitonal
2 0-5-6-12 1-5/4-3/2-9/8 otonal
3 0-6-7-12 1-3/2-9/5-9/8 utonal
4 0-1-7-17 1-6/5-9/5-7/5 otonal
5 0-5-10-17 1-5/4-14/9-7/5 marvel
6 0-5-12-17 1-5/4-9/8-7/5 marvel
7 0-7-12-17 1-9/5-9/8-7/5 marvel
8 0-10-16-17 1-14/9-7/6-7/5 utonal
9 0-1-6-22 1-6/5-3/2-7/4 keenanismic
10 0-5-6-22 1-5/4-3/2-7/4 otonal
11 0-5-10-22 1-5/4-14/9-7/4 marvel
12 0-5-12-22 1-5/4-9/8-7/4 otonal
13 0-6-12-22 1-3/2-9/8-7/4 otonal
14 0-6-16-22 1-3/2-7/6-7/4 ambitonal
15 0-10-16-22 1-14/9-7/6-7/4 utonal
16 0-1-17-22 1-6/5-7/5-7/4 keenanismic
17 0-5-17-22 1-5/4-7/5-7/4 marvel
18 0-10-17-22 1-14/9-7/5-7/4 utonal
19 0-12-17-22 1-9/8-7/5-7/4 marvel
20 0-16-17-22 1-7/6-7/5-7/4 utonal
21 0-5-21-22 1-5/4-16/11-7/4 keenanismic
22 0-16-21-22 1-7/6-16/11-7/4 keenanismic
23 0-5-10-26 1-5/4-14/9-20/11 unimarv
24 0-10-16-26 1-14/9-7/6-20/11 swetismic
25 0-5-21-26 1-5/4-16/11-20/11 keenanismic
26 0-16-21-26 1-7/6-16/11-20/11 unimarv
27 0-1-6-27 1-6/5-3/2-12/11 utonal
28 0-5-6-27 1-5/4-3/2-12/11 keenanismic
29 0-5-10-27 1-5/4-14/9-12/11 unimarv
30 0-1-17-27 1-6/5-7/5-12/11 swetismic
31 0-5-17-27 1-5/4-7/5-12/11 unimarv
32 0-10-17-27 1-14/9-7/5-12/11 swetismic
33 0-5-21-27 1-5/4-16/11-12/11 keenanismic
34 0-1-22-27 1-6/5-7/4-12/11 keenanismic
35 0-5-22-27 1-5/4-7/4-12/11 keenanismic
36 0-6-22-27 1-3/2-7/4-12/11 keenanismic
37 0-10-22-27 1-14/9-7/4-12/11 unimarv
38 0-17-22-27 1-7/5-7/4-12/11 unimarv
39 0-21-22-27 1-16/11-7/4-12/11 keenanismic
40 0-5-26-27 1-5/4-20/11-12/11 keenanismic
41 0-10-26-27 1-14/9-20/11-12/11 swetismic
42 0-21-26-27 1-16/11-20/11-12/11 otonal
43 0-6-7-33 1-3/2-9/5-18/11 utonal
44 0-6-12-33 1-3/2-9/8-18/11 utonal
45 0-7-12-33 1-9/5-9/8-18/11 utonal
46 0-6-16-33 1-3/2-7/6-18/11 swetismic
47 0-7-17-33 1-9/5-7/5-18/11 swetismic
48 0-12-17-33 1-9/8-7/5-18/11 unimarv
49 0-16-17-33 1-7/6-7/5-18/11 swetismic
50 0-16-21-33 1-7/6-16/11-18/11 unimarv
51 0-16-26-33 1-7/6-20/11-18/11 swetismic
52 0-21-26-33 1-16/11-20/11-18/11 otonal
53 0-6-27-33 1-3/2-12/11-18/11 ambitonal
54 0-17-27-33 1-7/5-12/11-18/11 swetismic
55 0-21-27-33 1-16/11-12/11-18/11 otonal
56 0-26-27-33 1-20/11-12/11-18/11 otonal
57 0-10-16-43 1-14/9-7/6-14/11 utonal
58 0-10-17-43 1-14/9-7/5-14/11 utonal
59 0-16-17-43 1-7/6-7/5-14/11 utonal
60 0-16-21-43 1-7/6-16/11-14/11 keenanismic
61 0-10-22-43 1-14/9-7/4-14/11 utonal
62 0-16-22-43 1-7/6-7/4-14/11 utonal
63 0-17-22-43 1-7/5-7/4-14/11 utonal
64 0-21-22-43 1-16/11-7/4-14/11 keenanismic
65 0-10-26-43 1-14/9-20/11-14/11 swetismic
66 0-16-26-43 1-7/6-20/11-14/11 swetismic
67 0-21-26-43 1-16/11-20/11-14/11 otonal
68 0-10-27-43 1-14/9-12/11-14/11 swetismic
69 0-17-27-43 1-7/5-12/11-14/11 swetismic
70 0-21-27-43 1-16/11-12/11-14/11 otonal
71 0-22-27-43 1-7/4-12/11-14/11 keenanismic
72 0-26-27-43 1-20/11-12/11-14/11 otonal
73 0-16-33-43 1-7/6-18/11-14/11 swetismic
74 0-17-33-43 1-7/5-18/11-14/11 swetismic
75 0-21-33-43 1-16/11-18/11-14/11 otonal
76 0-26-33-43 1-20/11-18/11-14/11 otonal
77 0-27-33-43 1-12/11-18/11-14/11 otonal

Pentads

Number Chord Transversal Type
1 0-5-6-12-22 1-5/4-3/2-9/8-7/4 otonal
2 0-5-10-17-22 1-5/4-14/9-7/5-7/4 marvel
3 0-5-12-17-22 1-5/4-9/8-7/5-7/4 marvel
4 0-10-16-17-22 1-14/9-7/6-7/5-7/4 utonal
5 0-5-10-17-27 1-5/4-14/9-7/5-12/11 unimarv
6 0-1-6-22-27 1-6/5-3/2-7/4-12/11 keenanismic
7 0-5-6-22-27 1-5/4-3/2-7/4-12/11 keenanismic
8 0-5-10-22-27 1-5/4-14/9-7/4-12/11 unimarv
9 0-1-17-22-27 1-6/5-7/5-7/4-12/11 unimarv
10 0-5-17-22-27 1-5/4-7/5-7/4-12/11 unimarv
11 0-10-17-22-27 1-14/9-7/5-7/4-12/11 unimarv
12 0-5-21-22-27 1-5/4-16/11-7/4-12/11 keenanismic
13 0-5-10-26-27 1-5/4-14/9-20/11-12/11 unimarv
14 0-5-21-26-27 1-5/4-16/11-20/11-12/11 keenanismic
15 0-6-7-12-33 1-3/2-9/5-9/8-18/11 utonal
16 0-7-12-17-33 1-9/5-9/8-7/5-18/11 unimarv
17 0-16-21-26-33 1-7/6-16/11-20/11-18/11 unimarv
18 0-21-26-27-33 1-16/11-20/11-12/11-18/11 otonal
19 0-10-16-17-43 1-14/9-7/6-7/5-14/11 utonal
20 0-10-16-22-43 1-14/9-7/6-7/4-14/11 utonal
21 0-10-17-22-43 1-14/9-7/5-7/4-14/11 utonal
22 0-16-17-22-43 1-7/6-7/5-7/4-14/11 utonal
23 0-16-21-22-43 1-7/6-16/11-7/4-14/11 keenanismic
24 0-10-16-26-43 1-14/9-7/6-20/11-14/11 swetismic
25 0-16-21-26-43 1-7/6-16/11-20/11-14/11 unimarv
26 0-10-17-27-43 1-14/9-7/5-12/11-14/11 swetismic
27 0-10-22-27-43 1-14/9-7/4-12/11-14/11 unimarv
28 0-17-22-27-43 1-7/5-7/4-12/11-14/11 unimarv
29 0-21-22-27-43 1-16/11-7/4-12/11-14/11 keenanismic
30 0-10-26-27-43 1-14/9-20/11-12/11-14/11 swetismic
31 0-21-26-27-43 1-16/11-20/11-12/11-14/11 otonal
32 0-16-17-33-43 1-7/6-7/5-18/11-14/11 swetismic
33 0-16-21-33-43 1-7/6-16/11-18/11-14/11 unimarv
34 0-16-26-33-43 1-7/6-20/11-18/11-14/11 swetismic
35 0-21-26-33-43 1-16/11-20/11-18/11-14/11 otonal
36 0-17-27-33-43 1-7/5-12/11-18/11-14/11 swetismic
37 0-21-27-33-43 1-16/11-12/11-18/11-14/11 otonal
38 0-26-27-33-43 1-20/11-12/11-18/11-14/11 otonal

Hexads

Number Chord Transversal Type
1 0-5-10-17-22-27 1-5/4-14/9-7/5-7/4-12/11 unimarv
2 0-10-16-17-22-43 1-14/9-7/6-7/5-7/4-14/11 utonal
3 0-10-17-22-27-43 1-14/9-7/5-7/4-12/11-14/11 unimarv
4 0-16-21-26-33-43 1-7/6-16/11-20/11-18/11-14/11 unimarv
5 0-21-26-27-33-43 1-16/11-20/11-12/11-18/11-14/11 otonal
Retrieved from "https://en.xen.wiki/index.php?title=Catakleismic/11-limit_chords&oldid=1417"