Chords of echidna: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Below are listed the [[dyadic chord]]s of the [[11-limit]] [[echidna]] temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by [[540/539]] are labeled [[swetismic chords|swetismic]], by [[896/891]] [[pentacircle chords|pentacircle]], and by [[176/175]] [[valinorsmic chords|valinorsmic]].  
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>2011-12-30 16:12:47 UTC</tt>.<br>
: The original revision id was <tt>288855637</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 [[Diaschismic family#Echidna|echidna temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 540/539 are labeled swetismic, by 896/891 pentacircle, and by 176/175 valinorsmic.  


The normal mapping for echidna is ech = [&lt;2 1 9 2 12|, &lt;0 3 -6 5 -7|]. From this we may derive a val v = ech[1] + 100 ech[2] = &lt;2 301 -591 502 -688| which we may use to sort and normalize the chords of echidna. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v, and the next column gives a transversal which tempers to the chord by echidnic tempering. Finally, the Graham complexity is listed in the last column.
The normal mapping for echidna is ech = {{mapping| 2 1 9 2 12 | 0 3 -6 5 -7 }}. From this we may derive a val v = ech[1] + 100 ech[2] = {{val| 2 301 -591 502 -688 }} which we may use to sort and normalize the chords of echidna. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v, and the next column gives a transversal which tempers to the chord by echidnic tempering. Finally, the Graham complexity is listed in the last column.


Echidna has MOS of size 6, 8, 14, 22, 36, 58 and 80. It may be seen that a modest number of chords are available to 14 notes, but that 22 has many more, and that may be a good choice as a scale with which to explore the harmonies of echidna. If for some reason you needed pentads and hexads, 36 notes would be fine.
Echidna has [[mos]] of size 6, 8, 14, 22, 36, 58 and 80. It may be seen that a modest number of chords are available to 14 notes, but that 22 has many more, and that may be a good choice as a scale with which to explore the harmonies of echidna. If for some reason you needed pentads and hexads, 36 notes would be fine.


=Triads=
== Triads ==
|| Number || Chord || Transversal || Type || Complexity ||
|| 1 || 0-100-199 || 1-9/7-7/6 || swetismic || 4 ||
|| 2 || 0-101-199 || 1-20/11-7/6 || swetismic || 4 ||
|| 3 || 0-100-299 || 1-9/7-3/2 || utonal || 6 ||
|| 4 || 0-199-299 || 1-7/6-3/2 || otonal || 6 ||
|| 5 || 0-199-498 || 1-7/6-7/4 || utonal || 10 ||
|| 6 || 0-299-498 || 1-3/2-7/4 || otonal || 10 ||
|| 7 || 0-100-596 || 1-9/7-9/8 || utonal || 12 ||
|| 8 || 0-299-596 || 1-3/2-9/8 || ambitonal || 12 ||
|| 9 || 0-498-596 || 1-7/4-9/8 || otonal || 12 ||
|| 10 || 0-101-597 || 1-20/11-8/5 || valinorsmic || 12 ||
|| 11 || 0-498-597 || 1-7/4-8/5 || valinorsmic || 12 ||
|| 12 || 0-100-696 || 1-9/7-16/11 || pentacircle || 14 ||
|| 13 || 0-101-696 || 1-20/11-16/11 || otonal || 14 ||
|| 14 || 0-596-696 || 1-9/8-16/11 || pentacircle || 14 ||
|| 15 || 0-597-696 || 1-8/5-16/11 || utonal || 14 ||
|| 16 || 0-299-894 || 1-3/2-6/5 || utonal || 18 ||
|| 17 || 0-597-894 || 1-8/5-6/5 || otonal || 18 ||
|| 18 || 0-101-993 || 1-20/11-12/11 || otonal || 20 ||
|| 19 || 0-299-993 || 1-3/2-12/11 || utonal || 20 ||
|| 20 || 0-696-993 || 1-16/11-12/11 || otonal || 20 ||
|| 21 || 0-894-993 || 1-6/5-12/11 || utonal || 20 ||
|| 22 || 0-100-1093 || 1-9/7-7/5 || swetismic || 22 ||
|| 23 || 0-199-1093 || 1-7/6-7/5 || utonal || 22 ||
|| 24 || 0-498-1093 || 1-7/4-7/5 || utonal || 22 ||
|| 25 || 0-597-1093 || 1-8/5-7/5 || otonal || 22 ||
|| 26 || 0-894-1093 || 1-6/5-7/5 || otonal || 22 ||
|| 27 || 0-993-1093 || 1-12/11-7/5 || swetismic || 22 ||
|| 28 || 0-101-1192 || 1-20/11-14/11 || otonal || 24 ||
|| 29 || 0-199-1192 || 1-7/6-14/11 || utonal || 24 ||
|| 30 || 0-498-1192 || 1-7/4-14/11 || utonal || 24 ||
|| 31 || 0-596-1192 || 1-9/8-14/11 || pentacircle || 24 ||
|| 32 || 0-597-1192 || 1-8/5-14/11 || valinorsmic || 24 ||
|| 33 || 0-696-1192 || 1-16/11-14/11 || otonal || 24 ||
|| 34 || 0-993-1192 || 1-12/11-14/11 || otonal || 24 ||
|| 35 || 0-1093-1192 || 1-7/5-14/11 || utonal || 24 ||
|| 36 || 0-100-1193 || 1-9/7-9/5 || utonal || 24 ||
|| 37 || 0-299-1193 || 1-3/2-9/5 || utonal || 24 ||
|| 38 || 0-596-1193 || 1-9/8-9/5 || utonal || 24 ||
|| 39 || 0-597-1193 || 1-8/5-9/5 || otonal || 24 ||
|| 40 || 0-894-1193 || 1-6/5-9/5 || otonal || 24 ||
|| 41 || 0-1093-1193 || 1-7/5-9/5 || otonal || 24 ||
|| 42 || 0-100-1292 || 1-9/7-18/11 || utonal || 26 ||
|| 43 || 0-101-1292 || 1-20/11-18/11 || otonal || 26 ||
|| 44 || 0-199-1292 || 1-7/6-18/11 || swetismic || 26 ||
|| 45 || 0-299-1292 || 1-3/2-18/11 || utonal || 26 ||
|| 46 || 0-596-1292 || 1-9/8-18/11 || utonal || 26 ||
|| 47 || 0-696-1292 || 1-16/11-18/11 || otonal || 26 ||
|| 48 || 0-993-1292 || 1-12/11-18/11 || otonal || 26 ||
|| 49 || 0-1093-1292 || 1-7/5-18/11 || swetismic || 26 ||
|| 50 || 0-1192-1292 || 1-14/11-18/11 || otonal || 26 ||
|| 51 || 0-1193-1292 || 1-9/5-18/11 || utonal || 26 ||


=Tetlist=
{| class="wikitable"
|| Number || Chord || Transversal || Type || Complexity ||
|-
|| 1 || 0-100-199-299 || 1-9/7-7/6-3/2 || swetismic || 6 ||
! Number
|| 2 || 0-199-299-498 || 1-7/6-3/2-7/4 || ambitonal || 10 ||
! Chord
|| 3 || 0-100-299-596 || 1-9/7-3/2-9/8 || utonal || 12 ||
! Transversal
|| 4 || 0-299-498-596 || 1-3/2-7/4-9/8 || otonal || 12 ||
! Type
|| 5 || 0-100-596-696 || 1-9/7-9/8-16/11 || pentacircle || 14 ||
! Complexity
|| 6 || 0-101-597-696 || 1-20/11-8/5-16/11 || valinorsmic || 14 ||
|-
|| 7 || 0-101-696-993 || 1-20/11-16/11-12/11 || otonal || 20 ||
| 1
|| 8 || 0-299-894-993 || 1-3/2-6/5-12/11 || utonal || 20 ||
| 0-100-199
|| 9 || 0-100-199-1093 || 1-9/7-7/6-7/5 || swetismic || 22 ||
| 1-9/7-7/6
|| 10 || 0-199-498-1093 || 1-7/6-7/4-7/5 || utonal || 22 ||
| swetismic
|| 11 || 0-498-597-1093 || 1-7/4-8/5-7/5 || valinorsmic || 22 ||
| 4
|| 12 || 0-597-894-1093 || 1-8/5-6/5-7/5 || otonal || 22 ||
|-
|| 13 || 0-894-993-1093 || 1-6/5-12/11-7/5 || swetismic || 22 ||
| 2
|| 14 || 0-101-199-1192 || 1-20/11-7/6-14/11 || swetismic || 24 ||
| 0-101-199
|| 15 || 0-199-498-1192 || 1-7/6-7/4-14/11 || utonal || 24 ||
| 1-20/11-7/6
|| 16 || 0-498-596-1192 || 1-7/4-9/8-14/11 || pentacircle || 24 ||
| swetismic
|| 17 || 0-101-597-1192 || 1-20/11-8/5-14/11 || valinorsmic || 24 ||
| 4
|| 18 || 0-498-597-1192 || 1-7/4-8/5-14/11 || valinorsmic || 24 ||
|-
|| 19 || 0-101-696-1192 || 1-20/11-16/11-14/11 || otonal || 24 ||
| 3
|| 20 || 0-596-696-1192 || 1-9/8-16/11-14/11 || pentacircle || 24 ||
| 0-100-299
|| 21 || 0-597-696-1192 || 1-8/5-16/11-14/11 || valinorsmic || 24 ||
| 1-9/7-3/2
|| 22 || 0-101-993-1192 || 1-20/11-12/11-14/11 || otonal || 24 ||
| utonal
|| 23 || 0-696-993-1192 || 1-16/11-12/11-14/11 || otonal || 24 ||
| 6
|| 24 || 0-199-1093-1192 || 1-7/6-7/5-14/11 || utonal || 24 ||
|-
|| 25 || 0-498-1093-1192 || 1-7/4-7/5-14/11 || utonal || 24 ||
| 4
|| 26 || 0-597-1093-1192 || 1-8/5-7/5-14/11 || valinorsmic || 24 ||
| 0-199-299
|| 27 || 0-993-1093-1192 || 1-12/11-7/5-14/11 || swetismic || 24 ||
| 1-7/6-3/2
|| 28 || 0-100-299-1193 || 1-9/7-3/2-9/5 || utonal || 24 ||
| otonal
|| 29 || 0-100-596-1193 || 1-9/7-9/8-9/5 || utonal || 24 ||
| 6
|| 30 || 0-299-596-1193 || 1-3/2-9/8-9/5 || utonal || 24 ||
|-
|| 31 || 0-299-894-1193 || 1-3/2-6/5-9/5 || ambitonal || 24 ||
| 5
|| 32 || 0-597-894-1193 || 1-8/5-6/5-9/5 || otonal || 24 ||
| 0-199-498
|| 33 || 0-100-1093-1193 || 1-9/7-7/5-9/5 || swetismic || 24 ||
| 1-7/6-7/4
|| 34 || 0-597-1093-1193 || 1-8/5-7/5-9/5 || otonal || 24 ||
| utonal
|| 35 || 0-894-1093-1193 || 1-6/5-7/5-9/5 || otonal || 24 ||
| 10
|| 36 || 0-100-199-1292 || 1-9/7-7/6-18/11 || swetismic || 26 ||
|-
|| 37 || 0-101-199-1292 || 1-20/11-7/6-18/11 || swetismic || 26 ||
| 6
|| 38 || 0-100-299-1292 || 1-9/7-3/2-18/11 || utonal || 26 ||
| 0-299-498
|| 39 || 0-199-299-1292 || 1-7/6-3/2-18/11 || swetismic || 26 ||
| 1-3/2-7/4
|| 40 || 0-100-596-1292 || 1-9/7-9/8-18/11 || utonal || 26 ||
| otonal
|| 41 || 0-299-596-1292 || 1-3/2-9/8-18/11 || utonal || 26 ||
| 10
|| 42 || 0-100-696-1292 || 1-9/7-16/11-18/11 || pentacircle || 26 ||
|-
|| 43 || 0-101-696-1292 || 1-20/11-16/11-18/11 || otonal || 26 ||
| 7
|| 44 || 0-596-696-1292 || 1-9/8-16/11-18/11 || pentacircle || 26 ||
| 0-100-596
|| 45 || 0-101-993-1292 || 1-20/11-12/11-18/11 || otonal || 26 ||
| 1-9/7-9/8
|| 46 || 0-299-993-1292 || 1-3/2-12/11-18/11 || ambitonal || 26 ||
| utonal
|| 47 || 0-696-993-1292 || 1-16/11-12/11-18/11 || otonal || 26 ||
| 12
|| 48 || 0-100-1093-1292 || 1-9/7-7/5-18/11 || swetismic || 26 ||
|-
|| 49 || 0-199-1093-1292 || 1-7/6-7/5-18/11 || swetismic || 26 ||
| 8
|| 50 || 0-993-1093-1292 || 1-12/11-7/5-18/11 || swetismic || 26 ||
| 0-299-596
|| 51 || 0-101-1192-1292 || 1-20/11-14/11-18/11 || otonal || 26 ||
| 1-3/2-9/8
|| 52 || 0-199-1192-1292 || 1-7/6-14/11-18/11 || swetismic || 26 ||
| ambitonal
|| 53 || 0-596-1192-1292 || 1-9/8-14/11-18/11 || pentacircle || 26 ||
| 12
|| 54 || 0-696-1192-1292 || 1-16/11-14/11-18/11 || otonal || 26 ||
|-
|| 55 || 0-993-1192-1292 || 1-12/11-14/11-18/11 || otonal || 26 ||
| 9
|| 56 || 0-1093-1192-1292 || 1-7/5-14/11-18/11 || swetismic || 26 ||
| 0-498-596
|| 57 || 0-100-1193-1292 || 1-9/7-9/5-18/11 || utonal || 26 ||
| 1-7/4-9/8
|| 58 || 0-299-1193-1292 || 1-3/2-9/5-18/11 || utonal || 26 ||
| otonal
|| 59 || 0-596-1193-1292 || 1-9/8-9/5-18/11 || utonal || 26 ||
| 12
|| 60 || 0-1093-1193-1292 || 1-7/5-9/5-18/11 || swetismic || 26 ||
|-
| 10
| 0-101-597
| 1-20/11-8/5
| valinorsmic
| 12
|-
| 11
| 0-498-597
| 1-7/4-8/5
| valinorsmic
| 12
|-
| 12
| 0-100-696
| 1-9/7-16/11
| pentacircle
| 14
|-
| 13
| 0-101-696
| 1-20/11-16/11
| otonal
| 14
|-
| 14
| 0-596-696
| 1-9/8-16/11
| pentacircle
| 14
|-
| 15
| 0-597-696
| 1-8/5-16/11
| utonal
| 14
|-
| 16
| 0-299-894
| 1-3/2-6/5
| utonal
| 18
|-
| 17
| 0-597-894
| 1-8/5-6/5
| otonal
| 18
|-
| 18
| 0-101-993
| 1-20/11-12/11
| otonal
| 20
|-
| 19
| 0-299-993
| 1-3/2-12/11
| utonal
| 20
|-
| 20
| 0-696-993
| 1-16/11-12/11
| otonal
| 20
|-
| 21
| 0-894-993
| 1-6/5-12/11
| utonal
| 20
|-
| 22
| 0-100-1093
| 1-9/7-7/5
| swetismic
| 22
|-
| 23
| 0-199-1093
| 1-7/6-7/5
| utonal
| 22
|-
| 24
| 0-498-1093
| 1-7/4-7/5
| utonal
| 22
|-
| 25
| 0-597-1093
| 1-8/5-7/5
| otonal
| 22
|-
| 26
| 0-894-1093
| 1-6/5-7/5
| otonal
| 22
|-
| 27
| 0-993-1093
| 1-12/11-7/5
| swetismic
| 22
|-
| 28
| 0-101-1192
| 1-20/11-14/11
| otonal
| 24
|-
| 29
| 0-199-1192
| 1-7/6-14/11
| utonal
| 24
|-
| 30
| 0-498-1192
| 1-7/4-14/11
| utonal
| 24
|-
| 31
| 0-596-1192
| 1-9/8-14/11
| pentacircle
| 24
|-
| 32
| 0-597-1192
| 1-8/5-14/11
| valinorsmic
| 24
|-
| 33
| 0-696-1192
| 1-16/11-14/11
| otonal
| 24
|-
| 34
| 0-993-1192
| 1-12/11-14/11
| otonal
| 24
|-
| 35
| 0-1093-1192
| 1-7/5-14/11
| utonal
| 24
|-
| 36
| 0-100-1193
| 1-9/7-9/5
| utonal
| 24
|-
| 37
| 0-299-1193
| 1-3/2-9/5
| utonal
| 24
|-
| 38
| 0-596-1193
| 1-9/8-9/5
| utonal
| 24
|-
| 39
| 0-597-1193
| 1-8/5-9/5
| otonal
| 24
|-
| 40
| 0-894-1193
| 1-6/5-9/5
| otonal
| 24
|-
| 41
| 0-1093-1193
| 1-7/5-9/5
| otonal
| 24
|-
| 42
| 0-100-1292
| 1-9/7-18/11
| utonal
| 26
|-
| 43
| 0-101-1292
| 1-20/11-18/11
| otonal
| 26
|-
| 44
| 0-199-1292
| 1-7/6-18/11
| swetismic
| 26
|-
| 45
| 0-299-1292
| 1-3/2-18/11
| utonal
| 26
|-
| 46
| 0-596-1292
| 1-9/8-18/11
| utonal
| 26
|-
| 47
| 0-696-1292
| 1-16/11-18/11
| otonal
| 26
|-
| 48
| 0-993-1292
| 1-12/11-18/11
| otonal
| 26
|-
| 49
| 0-1093-1292
| 1-7/5-18/11
| swetismic
| 26
|-
| 50
| 0-1192-1292
| 1-14/11-18/11
| otonal
| 26
|-
| 51
| 0-1193-1292
| 1-9/5-18/11
| utonal
| 26
|}


=Pentlist=
== Tetrads ==
|| Number || Chord || Transversal || Type || Complexity ||
|| 1 || 0-101-597-696-1192 || 1-20/11-8/5-16/11-14/11 || valinorsmic || 24 ||
|| 2 || 0-101-696-993-1192 || 1-20/11-16/11-12/11-14/11 || otonal || 24 ||
|| 3 || 0-199-498-1093-1192 || 1-7/6-7/4-7/5-14/11 || utonal || 24 ||
|| 4 || 0-498-597-1093-1192 || 1-7/4-8/5-7/5-14/11 || valinorsmic || 24 ||
|| 5 || 0-100-299-596-1193 || 1-9/7-3/2-9/8-9/5 || utonal || 24 ||
|| 6 || 0-597-894-1093-1193 || 1-8/5-6/5-7/5-9/5 || otonal || 24 ||
|| 7 || 0-100-199-299-1292 || 1-9/7-7/6-3/2-18/11 || swetismic || 26 ||
|| 8 || 0-100-299-596-1292 || 1-9/7-3/2-9/8-18/11 || utonal || 26 ||
|| 9 || 0-100-596-696-1292 || 1-9/7-9/8-16/11-18/11 || pentacircle || 26 ||
|| 10 || 0-101-696-993-1292 || 1-20/11-16/11-12/11-18/11 || otonal || 26 ||
|| 11 || 0-100-199-1093-1292 || 1-9/7-7/6-7/5-18/11 || swetismic || 26 ||
|| 12 || 0-101-199-1192-1292 || 1-20/11-7/6-14/11-18/11 || swetismic || 26 ||
|| 13 || 0-101-696-1192-1292 || 1-20/11-16/11-14/11-18/11 || otonal || 26 ||
|| 14 || 0-596-696-1192-1292 || 1-9/8-16/11-14/11-18/11 || pentacircle || 26 ||
|| 15 || 0-101-993-1192-1292 || 1-20/11-12/11-14/11-18/11 || otonal || 26 ||
|| 16 || 0-696-993-1192-1292 || 1-16/11-12/11-14/11-18/11 || otonal || 26 ||
|| 17 || 0-199-1093-1192-1292 || 1-7/6-7/5-14/11-18/11 || swetismic || 26 ||
|| 18 || 0-993-1093-1192-1292 || 1-12/11-7/5-14/11-18/11 || swetismic || 26 ||
|| 19 || 0-100-299-1193-1292 || 1-9/7-3/2-9/5-18/11 || utonal || 26 ||
|| 20 || 0-100-596-1193-1292 || 1-9/7-9/8-9/5-18/11 || utonal || 26 ||
|| 21 || 0-299-596-1193-1292 || 1-3/2-9/8-9/5-18/11 || utonal || 26 ||
|| 22 || 0-100-1093-1193-1292 || 1-9/7-7/5-9/5-18/11 || swetismic || 26 ||


=Hexad=
{| class="wikitable"
|| Number || Chord || Transversal || Type || Complexity ||
|-
|| 1 || 0-101-696-993-1192-1292 || 1-20/11-16/11-12/11-14/11-18/11 || otonal || 26 ||
! Number
|| 2 || 0-100-299-596-1193-1292 || 1-9/7-3/2-9/8-9/5-18/11 || utonal || 26 ||
! Chord
</pre></div>
! Transversal
<h4>Original HTML content:</h4>
! Type
<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 echidna&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="/Diaschismic%20family#Echidna"&gt;echidna temperament&lt;/a&gt;. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 540/539 are labeled swetismic, by 896/891 pentacircle, and by 176/175 valinorsmic. &lt;br /&gt;
! Complexity
&lt;br /&gt;
|-
The normal mapping for echidna is ech = [&amp;lt;2 1 9 2 12|, &amp;lt;0 3 -6 5 -7|]. From this we may derive a val v = ech[1] + 100 ech[2] = &amp;lt;2 301 -591 502 -688| which we may use to sort and normalize the chords of echidna. Under &amp;quot;Chord&amp;quot; is listed the chord, normalized to start from zero, in the mapping by v, and the next column gives a transversal which tempers to the chord by echidnic tempering.  Finally, the Graham complexity is listed in the last column.&lt;br /&gt;
| 1
&lt;br /&gt;
| 0-100-199-299
Echidna has MOS of size 6, 8, 14, 22, 36, 58 and 80. It may be seen that a modest number of chords are available to 14 notes, but that 22 has many more, and that may be a good choice as a scale with which to explore the harmonies of echidna. If for some reason you needed pentads and hexads, 36 notes would be fine.&lt;br /&gt;
| 1-9/7-7/6-3/2
&lt;br /&gt;
| swetismic
&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;
| 6
|-
| 2
| 0-199-299-498
| 1-7/6-3/2-7/4
| ambitonal
| 10
|-
| 3
| 0-100-299-596
| 1-9/7-3/2-9/8
| utonal
| 12
|-
| 4
| 0-299-498-596
| 1-3/2-7/4-9/8
| otonal
| 12
|-
| 5
| 0-100-596-696
| 1-9/7-9/8-16/11
| pentacircle
| 14
|-
| 6
| 0-101-597-696
| 1-20/11-8/5-16/11
| valinorsmic
| 14
|-
| 7
| 0-101-696-993
| 1-20/11-16/11-12/11
| otonal
| 20
|-
| 8
| 0-299-894-993
| 1-3/2-6/5-12/11
| utonal
| 20
|-
| 9
| 0-100-199-1093
| 1-9/7-7/6-7/5
| swetismic
| 22
|-
| 10
| 0-199-498-1093
| 1-7/6-7/4-7/5
| utonal
| 22
|-
| 11
| 0-498-597-1093
| 1-7/4-8/5-7/5
| valinorsmic
| 22
|-
| 12
| 0-597-894-1093
| 1-8/5-6/5-7/5
| otonal
| 22
|-
| 13
| 0-894-993-1093
| 1-6/5-12/11-7/5
| swetismic
| 22
|-
| 14
| 0-101-199-1192
| 1-20/11-7/6-14/11
| swetismic
| 24
|-
| 15
| 0-199-498-1192
| 1-7/6-7/4-14/11
| utonal
| 24
|-
| 16
| 0-498-596-1192
| 1-7/4-9/8-14/11
| pentacircle
| 24
|-
| 17
| 0-101-597-1192
| 1-20/11-8/5-14/11
| valinorsmic
| 24
|-
| 18
| 0-498-597-1192
| 1-7/4-8/5-14/11
| valinorsmic
| 24
|-
| 19
| 0-101-696-1192
| 1-20/11-16/11-14/11
| otonal
| 24
|-
| 20
| 0-596-696-1192
| 1-9/8-16/11-14/11
| pentacircle
| 24
|-
| 21
| 0-597-696-1192
| 1-8/5-16/11-14/11
| valinorsmic
| 24
|-
| 22
| 0-101-993-1192
| 1-20/11-12/11-14/11
| otonal
| 24
|-
| 23
| 0-696-993-1192
| 1-16/11-12/11-14/11
| otonal
| 24
|-
| 24
| 0-199-1093-1192
| 1-7/6-7/5-14/11
| utonal
| 24
|-
| 25
| 0-498-1093-1192
| 1-7/4-7/5-14/11
| utonal
| 24
|-
| 26
| 0-597-1093-1192
| 1-8/5-7/5-14/11
| valinorsmic
| 24
|-
| 27
| 0-993-1093-1192
| 1-12/11-7/5-14/11
| swetismic
| 24
|-
| 28
| 0-100-299-1193
| 1-9/7-3/2-9/5
| utonal
| 24
|-
| 29
| 0-100-596-1193
| 1-9/7-9/8-9/5
| utonal
| 24
|-
| 30
| 0-299-596-1193
| 1-3/2-9/8-9/5
| utonal
| 24
|-
| 31
| 0-299-894-1193
| 1-3/2-6/5-9/5
| ambitonal
| 24
|-
| 32
| 0-597-894-1193
| 1-8/5-6/5-9/5
| otonal
| 24
|-
| 33
| 0-100-1093-1193
| 1-9/7-7/5-9/5
| swetismic
| 24
|-
| 34
| 0-597-1093-1193
| 1-8/5-7/5-9/5
| otonal
| 24
|-
| 35
| 0-894-1093-1193
| 1-6/5-7/5-9/5
| otonal
| 24
|-
| 36
| 0-100-199-1292
| 1-9/7-7/6-18/11
| swetismic
| 26
|-
| 37
| 0-101-199-1292
| 1-20/11-7/6-18/11
| swetismic
| 26
|-
| 38
| 0-100-299-1292
| 1-9/7-3/2-18/11
| utonal
| 26
|-
| 39
| 0-199-299-1292
| 1-7/6-3/2-18/11
| swetismic
| 26
|-
| 40
| 0-100-596-1292
| 1-9/7-9/8-18/11
| utonal
| 26
|-
| 41
| 0-299-596-1292
| 1-3/2-9/8-18/11
| utonal
| 26
|-
| 42
| 0-100-696-1292
| 1-9/7-16/11-18/11
| pentacircle
| 26
|-
| 43
| 0-101-696-1292
| 1-20/11-16/11-18/11
| otonal
| 26
|-
| 44
| 0-596-696-1292
| 1-9/8-16/11-18/11
| pentacircle
| 26
|-
| 45
| 0-101-993-1292
| 1-20/11-12/11-18/11
| otonal
| 26
|-
| 46
| 0-299-993-1292
| 1-3/2-12/11-18/11
| ambitonal
| 26
|-
| 47
| 0-696-993-1292
| 1-16/11-12/11-18/11
| otonal
| 26
|-
| 48
| 0-100-1093-1292
| 1-9/7-7/5-18/11
| swetismic
| 26
|-
| 49
| 0-199-1093-1292
| 1-7/6-7/5-18/11
| swetismic
| 26
|-
| 50
| 0-993-1093-1292
| 1-12/11-7/5-18/11
| swetismic
| 26
|-
| 51
| 0-101-1192-1292
| 1-20/11-14/11-18/11
| otonal
| 26
|-
| 52
| 0-199-1192-1292
| 1-7/6-14/11-18/11
| swetismic
| 26
|-
| 53
| 0-596-1192-1292
| 1-9/8-14/11-18/11
| pentacircle
| 26
|-
| 54
| 0-696-1192-1292
| 1-16/11-14/11-18/11
| otonal
| 26
|-
| 55
| 0-993-1192-1292
| 1-12/11-14/11-18/11
| otonal
| 26
|-
| 56
| 0-1093-1192-1292
| 1-7/5-14/11-18/11
| swetismic
| 26
|-
| 57
| 0-100-1193-1292
| 1-9/7-9/5-18/11
| utonal
| 26
|-
| 58
| 0-299-1193-1292
| 1-3/2-9/5-18/11
| utonal
| 26
|-
| 59
| 0-596-1193-1292
| 1-9/8-9/5-18/11
| utonal
| 26
|-
| 60
| 0-1093-1193-1292
| 1-7/5-9/5-18/11
| swetismic
| 26
|}


== Pentads ==


&lt;table class="wiki_table"&gt;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;td&gt;Number&lt;br /&gt;
! Number
&lt;/td&gt;
! Chord
        &lt;td&gt;Chord&lt;br /&gt;
! Transversal
&lt;/td&gt;
! Type
        &lt;td&gt;Transversal&lt;br /&gt;
! Complexity
&lt;/td&gt;
|-
        &lt;td&gt;Type&lt;br /&gt;
| 1
&lt;/td&gt;
| 0-101-597-696-1192
        &lt;td&gt;Complexity&lt;br /&gt;
| 1-20/11-8/5-16/11-14/11
&lt;/td&gt;
| valinorsmic
    &lt;/tr&gt;
| 24
    &lt;tr&gt;
|-
        &lt;td&gt;1&lt;br /&gt;
| 2
&lt;/td&gt;
| 0-101-696-993-1192
        &lt;td&gt;0-100-199&lt;br /&gt;
| 1-20/11-16/11-12/11-14/11
&lt;/td&gt;
| otonal
        &lt;td&gt;1-9/7-7/6&lt;br /&gt;
| 24
&lt;/td&gt;
|-
        &lt;td&gt;swetismic&lt;br /&gt;
| 3
&lt;/td&gt;
| 0-199-498-1093-1192
        &lt;td&gt;4&lt;br /&gt;
| 1-7/6-7/4-7/5-14/11
&lt;/td&gt;
| utonal
    &lt;/tr&gt;
| 24
    &lt;tr&gt;
|-
        &lt;td&gt;2&lt;br /&gt;
| 4
&lt;/td&gt;
| 0-498-597-1093-1192
        &lt;td&gt;0-101-199&lt;br /&gt;
| 1-7/4-8/5-7/5-14/11
&lt;/td&gt;
| valinorsmic
        &lt;td&gt;1-20/11-7/6&lt;br /&gt;
| 24
&lt;/td&gt;
|-
        &lt;td&gt;swetismic&lt;br /&gt;
| 5
&lt;/td&gt;
| 0-100-299-596-1193
        &lt;td&gt;4&lt;br /&gt;
| 1-9/7-3/2-9/8-9/5
&lt;/td&gt;
| utonal
    &lt;/tr&gt;
| 24
    &lt;tr&gt;
|-
        &lt;td&gt;3&lt;br /&gt;
| 6
&lt;/td&gt;
| 0-597-894-1093-1193
        &lt;td&gt;0-100-299&lt;br /&gt;
| 1-8/5-6/5-7/5-9/5
&lt;/td&gt;
| otonal
        &lt;td&gt;1-9/7-3/2&lt;br /&gt;
| 24
&lt;/td&gt;
|-
        &lt;td&gt;utonal&lt;br /&gt;
| 7
&lt;/td&gt;
| 0-100-199-299-1292
        &lt;td&gt;6&lt;br /&gt;
| 1-9/7-7/6-3/2-18/11
&lt;/td&gt;
| swetismic
    &lt;/tr&gt;
| 26
    &lt;tr&gt;
|-
        &lt;td&gt;4&lt;br /&gt;
| 8
&lt;/td&gt;
| 0-100-299-596-1292
        &lt;td&gt;0-199-299&lt;br /&gt;
| 1-9/7-3/2-9/8-18/11
&lt;/td&gt;
| utonal
        &lt;td&gt;1-7/6-3/2&lt;br /&gt;
| 26
&lt;/td&gt;
|-
        &lt;td&gt;otonal&lt;br /&gt;
| 9
&lt;/td&gt;
| 0-100-596-696-1292
        &lt;td&gt;6&lt;br /&gt;
| 1-9/7-9/8-16/11-18/11
&lt;/td&gt;
| pentacircle
    &lt;/tr&gt;
| 26
    &lt;tr&gt;
|-
        &lt;td&gt;5&lt;br /&gt;
| 10
&lt;/td&gt;
| 0-101-696-993-1292
        &lt;td&gt;0-199-498&lt;br /&gt;
| 1-20/11-16/11-12/11-18/11
&lt;/td&gt;
| otonal
        &lt;td&gt;1-7/6-7/4&lt;br /&gt;
| 26
&lt;/td&gt;
|-
        &lt;td&gt;utonal&lt;br /&gt;
| 11
&lt;/td&gt;
| 0-100-199-1093-1292
        &lt;td&gt;10&lt;br /&gt;
| 1-9/7-7/6-7/5-18/11
&lt;/td&gt;
| swetismic
    &lt;/tr&gt;
| 26
    &lt;tr&gt;
|-
        &lt;td&gt;6&lt;br /&gt;
| 12
&lt;/td&gt;
| 0-101-199-1192-1292
        &lt;td&gt;0-299-498&lt;br /&gt;
| 1-20/11-7/6-14/11-18/11
&lt;/td&gt;
| swetismic
        &lt;td&gt;1-3/2-7/4&lt;br /&gt;
| 26
&lt;/td&gt;
|-
        &lt;td&gt;otonal&lt;br /&gt;
| 13
&lt;/td&gt;
| 0-101-696-1192-1292
        &lt;td&gt;10&lt;br /&gt;
| 1-20/11-16/11-14/11-18/11
&lt;/td&gt;
| otonal
    &lt;/tr&gt;
| 26
    &lt;tr&gt;
|-
        &lt;td&gt;7&lt;br /&gt;
| 14
&lt;/td&gt;
| 0-596-696-1192-1292
        &lt;td&gt;0-100-596&lt;br /&gt;
| 1-9/8-16/11-14/11-18/11
&lt;/td&gt;
| pentacircle
        &lt;td&gt;1-9/7-9/8&lt;br /&gt;
| 26
&lt;/td&gt;
|-
        &lt;td&gt;utonal&lt;br /&gt;
| 15
&lt;/td&gt;
| 0-101-993-1192-1292
        &lt;td&gt;12&lt;br /&gt;
| 1-20/11-12/11-14/11-18/11
&lt;/td&gt;
| otonal
    &lt;/tr&gt;
| 26
    &lt;tr&gt;
|-
        &lt;td&gt;8&lt;br /&gt;
| 16
&lt;/td&gt;
| 0-696-993-1192-1292
        &lt;td&gt;0-299-596&lt;br /&gt;
| 1-16/11-12/11-14/11-18/11
&lt;/td&gt;
| otonal
        &lt;td&gt;1-3/2-9/8&lt;br /&gt;
| 26
&lt;/td&gt;
|-
        &lt;td&gt;ambitonal&lt;br /&gt;
| 17
&lt;/td&gt;
| 0-199-1093-1192-1292
        &lt;td&gt;12&lt;br /&gt;
| 1-7/6-7/5-14/11-18/11
&lt;/td&gt;
| swetismic
    &lt;/tr&gt;
| 26
    &lt;tr&gt;
|-
        &lt;td&gt;9&lt;br /&gt;
| 18
&lt;/td&gt;
| 0-993-1093-1192-1292
        &lt;td&gt;0-498-596&lt;br /&gt;
| 1-12/11-7/5-14/11-18/11
&lt;/td&gt;
| swetismic
        &lt;td&gt;1-7/4-9/8&lt;br /&gt;
| 26
&lt;/td&gt;
|-
        &lt;td&gt;otonal&lt;br /&gt;
| 19
&lt;/td&gt;
| 0-100-299-1193-1292
        &lt;td&gt;12&lt;br /&gt;
| 1-9/7-3/2-9/5-18/11
&lt;/td&gt;
| utonal
    &lt;/tr&gt;
| 26
    &lt;tr&gt;
|-
        &lt;td&gt;10&lt;br /&gt;
| 20
&lt;/td&gt;
| 0-100-596-1193-1292
        &lt;td&gt;0-101-597&lt;br /&gt;
| 1-9/7-9/8-9/5-18/11
&lt;/td&gt;
| utonal
        &lt;td&gt;1-20/11-8/5&lt;br /&gt;
| 26
&lt;/td&gt;
|-
        &lt;td&gt;valinorsmic&lt;br /&gt;
| 21
&lt;/td&gt;
| 0-299-596-1193-1292
        &lt;td&gt;12&lt;br /&gt;
| 1-3/2-9/8-9/5-18/11
&lt;/td&gt;
| utonal
    &lt;/tr&gt;
| 26
    &lt;tr&gt;
|-
        &lt;td&gt;11&lt;br /&gt;
| 22
&lt;/td&gt;
| 0-100-1093-1193-1292
        &lt;td&gt;0-498-597&lt;br /&gt;
| 1-9/7-7/5-9/5-18/11
&lt;/td&gt;
| swetismic
        &lt;td&gt;1-7/4-8/5&lt;br /&gt;
| 26
&lt;/td&gt;
|}
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12&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;0-100-696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14&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;0-101-696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14&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;0-596-696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14&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;0-597-696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14&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;0-299-894&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18&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;0-597-894&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18&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;0-101-993&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;td&gt;20&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;0-299-993&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;td&gt;20&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;0-696-993&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;td&gt;20&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;0-894-993&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;td&gt;20&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;0-100-1093&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22&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;0-199-1093&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;td&gt;22&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;0-498-1093&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22&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;0-597-1093&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22&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;0-894-1093&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;td&gt;22&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;0-993-1093&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22&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;0-101-1192&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;td&gt;24&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;0-199-1192&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;td&gt;24&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;0-498-1192&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;td&gt;24&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;0-596-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-597-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-696-1192&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;td&gt;24&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;0-993-1192&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;td&gt;24&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;0-1093-1192&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;td&gt;24&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;0-100-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-299-1193&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;td&gt;24&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;0-596-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-597-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-894-1193&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;td&gt;24&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;0-1093-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-100-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-101-1292&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;td&gt;26&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;0-199-1292&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;td&gt;26&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;0-299-1292&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;td&gt;26&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;0-596-1292&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;td&gt;26&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;0-696-1292&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;td&gt;26&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;0-993-1292&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;td&gt;26&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;0-1093-1292&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;td&gt;26&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;0-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-1193-1292&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;td&gt;26&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
== Hexads ==
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Tetlist"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Tetlist&lt;/h1&gt;


{| class="wikitable"
|-
! Number
! Chord
! Transversal
! Type
! Complexity
|-
| 1
| 0-101-696-993-1192-1292
| 1-20/11-16/11-12/11-14/11-18/11
| otonal
| 26
|-
| 2
| 0-100-299-596-1193-1292
| 1-9/7-3/2-9/8-9/5-18/11
| utonal
| 26
|}


&lt;table class="wiki_table"&gt;
[[Category:Lists of chords]]
    &lt;tr&gt;
[[Category:Dyadic chords]]
        &lt;td&gt;Number&lt;br /&gt;
[[Category:11-limit]]
&lt;/td&gt;
[[Category:Echidna]]
        &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;td&gt;Complexity&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;0-100-199-299&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-7/6-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6&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;0-199-299-498&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-3/2-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10&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;0-100-299-596&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12&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;0-299-498-596&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-7/4-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12&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;0-100-596-696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/8-16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14&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;0-101-597-696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-8/5-16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14&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;0-101-696-993&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-16/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;20&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;0-299-894-993&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-6/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;20&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;0-100-199-1093&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-7/6-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22&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;0-199-498-1093&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/4-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22&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;0-498-597-1093&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-8/5-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22&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;0-597-894-1093&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-6/5-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22&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;0-894-993-1093&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-12/11-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22&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;0-101-199-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-7/6-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-199-498-1192&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;td&gt;24&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;0-498-596-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-9/8-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-101-597-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-8/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-498-597-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-8/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-101-696-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-16/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-596-696-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-16/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-597-696-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-16/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-101-993-1192&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;td&gt;24&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;0-696-993-1192&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;td&gt;24&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;0-199-1093-1192&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;td&gt;24&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;0-498-1093-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-597-1093-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-993-1093-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-100-299-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-3/2-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-100-596-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/8-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-299-596-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/8-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-299-894-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-6/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-597-894-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-6/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-100-1093-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-7/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-597-1093-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-7/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-894-1093-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-100-199-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-7/6-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-101-199-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-7/6-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-100-299-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-3/2-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-199-299-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-3/2-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-100-596-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-299-596-1292&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;td&gt;26&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;0-100-696-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-16/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-101-696-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-16/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-596-696-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-16/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-101-993-1292&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;td&gt;26&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;0-299-993-1292&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;td&gt;26&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;0-696-993-1292&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;td&gt;26&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;0-100-1093-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-199-1093-1292&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;td&gt;26&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;0-993-1093-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-101-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-199-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-596-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-696-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-993-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-1093-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-100-1193-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-299-1193-1292&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;td&gt;26&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;0-596-1193-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-1093-1193-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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="Pentlist"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pentlist&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;td&gt;Complexity&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;0-101-597-696-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-8/5-16/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-101-696-993-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-16/11-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-199-498-1093-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/4-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-498-597-1093-1192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-8/5-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;valinorsmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-100-299-596-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-3/2-9/8-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-597-894-1093-1193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-6/5-7/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24&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;0-100-199-299-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-7/6-3/2-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-100-299-596-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-3/2-9/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-100-596-696-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/8-16/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-101-696-993-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-16/11-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-100-199-1093-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-7/6-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-101-199-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-7/6-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-101-696-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-16/11-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-596-696-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-16/11-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-101-993-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-12/11-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-696-993-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-12/11-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-199-1093-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-993-1093-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-7/5-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-100-299-1193-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-3/2-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-100-596-1193-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/8-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-299-596-1193-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/8-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-100-1093-1193-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-7/5-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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="Hexad"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Hexad&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;td&gt;Complexity&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;0-101-696-993-1192-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-16/11-12/11-14/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&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;0-100-299-596-1193-1292&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-3/2-9/8-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 08:42, 15 September 2026

Below are listed the dyadic chords of the 11-limit echidna temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 540/539 are labeled swetismic, by 896/891 pentacircle, and by 176/175 valinorsmic.

The normal mapping for echidna is ech = [⟨2 1 9 2 12], ⟨0 3 -6 5 -7]]. From this we may derive a val v = ech[1] + 100 ech[2] = ⟨2 301 -591 502 -688] which we may use to sort and normalize the chords of echidna. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v, and the next column gives a transversal which tempers to the chord by echidnic tempering. Finally, the Graham complexity is listed in the last column.

Echidna has mos of size 6, 8, 14, 22, 36, 58 and 80. It may be seen that a modest number of chords are available to 14 notes, but that 22 has many more, and that may be a good choice as a scale with which to explore the harmonies of echidna. If for some reason you needed pentads and hexads, 36 notes would be fine.

Triads

Number Chord Transversal Type Complexity
1 0-100-199 1-9/7-7/6 swetismic 4
2 0-101-199 1-20/11-7/6 swetismic 4
3 0-100-299 1-9/7-3/2 utonal 6
4 0-199-299 1-7/6-3/2 otonal 6
5 0-199-498 1-7/6-7/4 utonal 10
6 0-299-498 1-3/2-7/4 otonal 10
7 0-100-596 1-9/7-9/8 utonal 12
8 0-299-596 1-3/2-9/8 ambitonal 12
9 0-498-596 1-7/4-9/8 otonal 12
10 0-101-597 1-20/11-8/5 valinorsmic 12
11 0-498-597 1-7/4-8/5 valinorsmic 12
12 0-100-696 1-9/7-16/11 pentacircle 14
13 0-101-696 1-20/11-16/11 otonal 14
14 0-596-696 1-9/8-16/11 pentacircle 14
15 0-597-696 1-8/5-16/11 utonal 14
16 0-299-894 1-3/2-6/5 utonal 18
17 0-597-894 1-8/5-6/5 otonal 18
18 0-101-993 1-20/11-12/11 otonal 20
19 0-299-993 1-3/2-12/11 utonal 20
20 0-696-993 1-16/11-12/11 otonal 20
21 0-894-993 1-6/5-12/11 utonal 20
22 0-100-1093 1-9/7-7/5 swetismic 22
23 0-199-1093 1-7/6-7/5 utonal 22
24 0-498-1093 1-7/4-7/5 utonal 22
25 0-597-1093 1-8/5-7/5 otonal 22
26 0-894-1093 1-6/5-7/5 otonal 22
27 0-993-1093 1-12/11-7/5 swetismic 22
28 0-101-1192 1-20/11-14/11 otonal 24
29 0-199-1192 1-7/6-14/11 utonal 24
30 0-498-1192 1-7/4-14/11 utonal 24
31 0-596-1192 1-9/8-14/11 pentacircle 24
32 0-597-1192 1-8/5-14/11 valinorsmic 24
33 0-696-1192 1-16/11-14/11 otonal 24
34 0-993-1192 1-12/11-14/11 otonal 24
35 0-1093-1192 1-7/5-14/11 utonal 24
36 0-100-1193 1-9/7-9/5 utonal 24
37 0-299-1193 1-3/2-9/5 utonal 24
38 0-596-1193 1-9/8-9/5 utonal 24
39 0-597-1193 1-8/5-9/5 otonal 24
40 0-894-1193 1-6/5-9/5 otonal 24
41 0-1093-1193 1-7/5-9/5 otonal 24
42 0-100-1292 1-9/7-18/11 utonal 26
43 0-101-1292 1-20/11-18/11 otonal 26
44 0-199-1292 1-7/6-18/11 swetismic 26
45 0-299-1292 1-3/2-18/11 utonal 26
46 0-596-1292 1-9/8-18/11 utonal 26
47 0-696-1292 1-16/11-18/11 otonal 26
48 0-993-1292 1-12/11-18/11 otonal 26
49 0-1093-1292 1-7/5-18/11 swetismic 26
50 0-1192-1292 1-14/11-18/11 otonal 26
51 0-1193-1292 1-9/5-18/11 utonal 26

Tetrads

Number Chord Transversal Type Complexity
1 0-100-199-299 1-9/7-7/6-3/2 swetismic 6
2 0-199-299-498 1-7/6-3/2-7/4 ambitonal 10
3 0-100-299-596 1-9/7-3/2-9/8 utonal 12
4 0-299-498-596 1-3/2-7/4-9/8 otonal 12
5 0-100-596-696 1-9/7-9/8-16/11 pentacircle 14
6 0-101-597-696 1-20/11-8/5-16/11 valinorsmic 14
7 0-101-696-993 1-20/11-16/11-12/11 otonal 20
8 0-299-894-993 1-3/2-6/5-12/11 utonal 20
9 0-100-199-1093 1-9/7-7/6-7/5 swetismic 22
10 0-199-498-1093 1-7/6-7/4-7/5 utonal 22
11 0-498-597-1093 1-7/4-8/5-7/5 valinorsmic 22
12 0-597-894-1093 1-8/5-6/5-7/5 otonal 22
13 0-894-993-1093 1-6/5-12/11-7/5 swetismic 22
14 0-101-199-1192 1-20/11-7/6-14/11 swetismic 24
15 0-199-498-1192 1-7/6-7/4-14/11 utonal 24
16 0-498-596-1192 1-7/4-9/8-14/11 pentacircle 24
17 0-101-597-1192 1-20/11-8/5-14/11 valinorsmic 24
18 0-498-597-1192 1-7/4-8/5-14/11 valinorsmic 24
19 0-101-696-1192 1-20/11-16/11-14/11 otonal 24
20 0-596-696-1192 1-9/8-16/11-14/11 pentacircle 24
21 0-597-696-1192 1-8/5-16/11-14/11 valinorsmic 24
22 0-101-993-1192 1-20/11-12/11-14/11 otonal 24
23 0-696-993-1192 1-16/11-12/11-14/11 otonal 24
24 0-199-1093-1192 1-7/6-7/5-14/11 utonal 24
25 0-498-1093-1192 1-7/4-7/5-14/11 utonal 24
26 0-597-1093-1192 1-8/5-7/5-14/11 valinorsmic 24
27 0-993-1093-1192 1-12/11-7/5-14/11 swetismic 24
28 0-100-299-1193 1-9/7-3/2-9/5 utonal 24
29 0-100-596-1193 1-9/7-9/8-9/5 utonal 24
30 0-299-596-1193 1-3/2-9/8-9/5 utonal 24
31 0-299-894-1193 1-3/2-6/5-9/5 ambitonal 24
32 0-597-894-1193 1-8/5-6/5-9/5 otonal 24
33 0-100-1093-1193 1-9/7-7/5-9/5 swetismic 24
34 0-597-1093-1193 1-8/5-7/5-9/5 otonal 24
35 0-894-1093-1193 1-6/5-7/5-9/5 otonal 24
36 0-100-199-1292 1-9/7-7/6-18/11 swetismic 26
37 0-101-199-1292 1-20/11-7/6-18/11 swetismic 26
38 0-100-299-1292 1-9/7-3/2-18/11 utonal 26
39 0-199-299-1292 1-7/6-3/2-18/11 swetismic 26
40 0-100-596-1292 1-9/7-9/8-18/11 utonal 26
41 0-299-596-1292 1-3/2-9/8-18/11 utonal 26
42 0-100-696-1292 1-9/7-16/11-18/11 pentacircle 26
43 0-101-696-1292 1-20/11-16/11-18/11 otonal 26
44 0-596-696-1292 1-9/8-16/11-18/11 pentacircle 26
45 0-101-993-1292 1-20/11-12/11-18/11 otonal 26
46 0-299-993-1292 1-3/2-12/11-18/11 ambitonal 26
47 0-696-993-1292 1-16/11-12/11-18/11 otonal 26
48 0-100-1093-1292 1-9/7-7/5-18/11 swetismic 26
49 0-199-1093-1292 1-7/6-7/5-18/11 swetismic 26
50 0-993-1093-1292 1-12/11-7/5-18/11 swetismic 26
51 0-101-1192-1292 1-20/11-14/11-18/11 otonal 26
52 0-199-1192-1292 1-7/6-14/11-18/11 swetismic 26
53 0-596-1192-1292 1-9/8-14/11-18/11 pentacircle 26
54 0-696-1192-1292 1-16/11-14/11-18/11 otonal 26
55 0-993-1192-1292 1-12/11-14/11-18/11 otonal 26
56 0-1093-1192-1292 1-7/5-14/11-18/11 swetismic 26
57 0-100-1193-1292 1-9/7-9/5-18/11 utonal 26
58 0-299-1193-1292 1-3/2-9/5-18/11 utonal 26
59 0-596-1193-1292 1-9/8-9/5-18/11 utonal 26
60 0-1093-1193-1292 1-7/5-9/5-18/11 swetismic 26

Pentads

Number Chord Transversal Type Complexity
1 0-101-597-696-1192 1-20/11-8/5-16/11-14/11 valinorsmic 24
2 0-101-696-993-1192 1-20/11-16/11-12/11-14/11 otonal 24
3 0-199-498-1093-1192 1-7/6-7/4-7/5-14/11 utonal 24
4 0-498-597-1093-1192 1-7/4-8/5-7/5-14/11 valinorsmic 24
5 0-100-299-596-1193 1-9/7-3/2-9/8-9/5 utonal 24
6 0-597-894-1093-1193 1-8/5-6/5-7/5-9/5 otonal 24
7 0-100-199-299-1292 1-9/7-7/6-3/2-18/11 swetismic 26
8 0-100-299-596-1292 1-9/7-3/2-9/8-18/11 utonal 26
9 0-100-596-696-1292 1-9/7-9/8-16/11-18/11 pentacircle 26
10 0-101-696-993-1292 1-20/11-16/11-12/11-18/11 otonal 26
11 0-100-199-1093-1292 1-9/7-7/6-7/5-18/11 swetismic 26
12 0-101-199-1192-1292 1-20/11-7/6-14/11-18/11 swetismic 26
13 0-101-696-1192-1292 1-20/11-16/11-14/11-18/11 otonal 26
14 0-596-696-1192-1292 1-9/8-16/11-14/11-18/11 pentacircle 26
15 0-101-993-1192-1292 1-20/11-12/11-14/11-18/11 otonal 26
16 0-696-993-1192-1292 1-16/11-12/11-14/11-18/11 otonal 26
17 0-199-1093-1192-1292 1-7/6-7/5-14/11-18/11 swetismic 26
18 0-993-1093-1192-1292 1-12/11-7/5-14/11-18/11 swetismic 26
19 0-100-299-1193-1292 1-9/7-3/2-9/5-18/11 utonal 26
20 0-100-596-1193-1292 1-9/7-9/8-9/5-18/11 utonal 26
21 0-299-596-1193-1292 1-3/2-9/8-9/5-18/11 utonal 26
22 0-100-1093-1193-1292 1-9/7-7/5-9/5-18/11 swetismic 26

Hexads

Number Chord Transversal Type Complexity
1 0-101-696-993-1192-1292 1-20/11-16/11-12/11-14/11-18/11 otonal 26
2 0-100-299-596-1193-1292 1-9/7-3/2-9/8-9/5-18/11 utonal 26
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