Chords of echidna
IMPORTED REVISION FROM WIKISPACES
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Original Wikitext content:
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 = [<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 || =Tetlist= || 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 || =Pentlist= || 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= || 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 ||
Original HTML content:
<html><head><title>Chords of echidna</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Diaschismic%20family#Echidna">echidna temperament</a>. 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. <br />
<br />
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.<br />
<br />
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.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Triads"></a><!-- ws:end:WikiTextHeadingRule:0 -->Triads</h1>
<table class="wiki_table">
<tr>
<td>Number<br />
</td>
<td>Chord<br />
</td>
<td>Transversal<br />
</td>
<td>Type<br />
</td>
<td>Complexity<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>0-100-199<br />
</td>
<td>1-9/7-7/6<br />
</td>
<td>swetismic<br />
</td>
<td>4<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>0-101-199<br />
</td>
<td>1-20/11-7/6<br />
</td>
<td>swetismic<br />
</td>
<td>4<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>0-100-299<br />
</td>
<td>1-9/7-3/2<br />
</td>
<td>utonal<br />
</td>
<td>6<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>0-199-299<br />
</td>
<td>1-7/6-3/2<br />
</td>
<td>otonal<br />
</td>
<td>6<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>0-199-498<br />
</td>
<td>1-7/6-7/4<br />
</td>
<td>utonal<br />
</td>
<td>10<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>0-299-498<br />
</td>
<td>1-3/2-7/4<br />
</td>
<td>otonal<br />
</td>
<td>10<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>0-100-596<br />
</td>
<td>1-9/7-9/8<br />
</td>
<td>utonal<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>0-299-596<br />
</td>
<td>1-3/2-9/8<br />
</td>
<td>ambitonal<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>0-498-596<br />
</td>
<td>1-7/4-9/8<br />
</td>
<td>otonal<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>0-101-597<br />
</td>
<td>1-20/11-8/5<br />
</td>
<td>valinorsmic<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>0-498-597<br />
</td>
<td>1-7/4-8/5<br />
</td>
<td>valinorsmic<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>0-100-696<br />
</td>
<td>1-9/7-16/11<br />
</td>
<td>pentacircle<br />
</td>
<td>14<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>0-101-696<br />
</td>
<td>1-20/11-16/11<br />
</td>
<td>otonal<br />
</td>
<td>14<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>0-596-696<br />
</td>
<td>1-9/8-16/11<br />
</td>
<td>pentacircle<br />
</td>
<td>14<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>0-597-696<br />
</td>
<td>1-8/5-16/11<br />
</td>
<td>utonal<br />
</td>
<td>14<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>0-299-894<br />
</td>
<td>1-3/2-6/5<br />
</td>
<td>utonal<br />
</td>
<td>18<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>0-597-894<br />
</td>
<td>1-8/5-6/5<br />
</td>
<td>otonal<br />
</td>
<td>18<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>0-101-993<br />
</td>
<td>1-20/11-12/11<br />
</td>
<td>otonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>0-299-993<br />
</td>
<td>1-3/2-12/11<br />
</td>
<td>utonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>0-696-993<br />
</td>
<td>1-16/11-12/11<br />
</td>
<td>otonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>0-894-993<br />
</td>
<td>1-6/5-12/11<br />
</td>
<td>utonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>0-100-1093<br />
</td>
<td>1-9/7-7/5<br />
</td>
<td>swetismic<br />
</td>
<td>22<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>0-199-1093<br />
</td>
<td>1-7/6-7/5<br />
</td>
<td>utonal<br />
</td>
<td>22<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>0-498-1093<br />
</td>
<td>1-7/4-7/5<br />
</td>
<td>utonal<br />
</td>
<td>22<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>0-597-1093<br />
</td>
<td>1-8/5-7/5<br />
</td>
<td>otonal<br />
</td>
<td>22<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>0-894-1093<br />
</td>
<td>1-6/5-7/5<br />
</td>
<td>otonal<br />
</td>
<td>22<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>0-993-1093<br />
</td>
<td>1-12/11-7/5<br />
</td>
<td>swetismic<br />
</td>
<td>22<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>0-101-1192<br />
</td>
<td>1-20/11-14/11<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>0-199-1192<br />
</td>
<td>1-7/6-14/11<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>0-498-1192<br />
</td>
<td>1-7/4-14/11<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>0-596-1192<br />
</td>
<td>1-9/8-14/11<br />
</td>
<td>pentacircle<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>0-597-1192<br />
</td>
<td>1-8/5-14/11<br />
</td>
<td>valinorsmic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>0-696-1192<br />
</td>
<td>1-16/11-14/11<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>0-993-1192<br />
</td>
<td>1-12/11-14/11<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>0-1093-1192<br />
</td>
<td>1-7/5-14/11<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>0-100-1193<br />
</td>
<td>1-9/7-9/5<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>0-299-1193<br />
</td>
<td>1-3/2-9/5<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>0-596-1193<br />
</td>
<td>1-9/8-9/5<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td>0-597-1193<br />
</td>
<td>1-8/5-9/5<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td>0-894-1193<br />
</td>
<td>1-6/5-9/5<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td>0-1093-1193<br />
</td>
<td>1-7/5-9/5<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td>0-100-1292<br />
</td>
<td>1-9/7-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td>0-101-1292<br />
</td>
<td>1-20/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td>0-199-1292<br />
</td>
<td>1-7/6-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td>0-299-1292<br />
</td>
<td>1-3/2-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td>0-596-1292<br />
</td>
<td>1-9/8-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>47<br />
</td>
<td>0-696-1292<br />
</td>
<td>1-16/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>48<br />
</td>
<td>0-993-1292<br />
</td>
<td>1-12/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>49<br />
</td>
<td>0-1093-1292<br />
</td>
<td>1-7/5-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>50<br />
</td>
<td>0-1192-1292<br />
</td>
<td>1-14/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>51<br />
</td>
<td>0-1193-1292<br />
</td>
<td>1-9/5-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Tetlist"></a><!-- ws:end:WikiTextHeadingRule:2 -->Tetlist</h1>
<table class="wiki_table">
<tr>
<td>Number<br />
</td>
<td>Chord<br />
</td>
<td>Transversal<br />
</td>
<td>Type<br />
</td>
<td>Complexity<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>0-100-199-299<br />
</td>
<td>1-9/7-7/6-3/2<br />
</td>
<td>swetismic<br />
</td>
<td>6<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>0-199-299-498<br />
</td>
<td>1-7/6-3/2-7/4<br />
</td>
<td>ambitonal<br />
</td>
<td>10<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>0-100-299-596<br />
</td>
<td>1-9/7-3/2-9/8<br />
</td>
<td>utonal<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>0-299-498-596<br />
</td>
<td>1-3/2-7/4-9/8<br />
</td>
<td>otonal<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>0-100-596-696<br />
</td>
<td>1-9/7-9/8-16/11<br />
</td>
<td>pentacircle<br />
</td>
<td>14<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>0-101-597-696<br />
</td>
<td>1-20/11-8/5-16/11<br />
</td>
<td>valinorsmic<br />
</td>
<td>14<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>0-101-696-993<br />
</td>
<td>1-20/11-16/11-12/11<br />
</td>
<td>otonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>0-299-894-993<br />
</td>
<td>1-3/2-6/5-12/11<br />
</td>
<td>utonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>0-100-199-1093<br />
</td>
<td>1-9/7-7/6-7/5<br />
</td>
<td>swetismic<br />
</td>
<td>22<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>0-199-498-1093<br />
</td>
<td>1-7/6-7/4-7/5<br />
</td>
<td>utonal<br />
</td>
<td>22<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>0-498-597-1093<br />
</td>
<td>1-7/4-8/5-7/5<br />
</td>
<td>valinorsmic<br />
</td>
<td>22<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>0-597-894-1093<br />
</td>
<td>1-8/5-6/5-7/5<br />
</td>
<td>otonal<br />
</td>
<td>22<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>0-894-993-1093<br />
</td>
<td>1-6/5-12/11-7/5<br />
</td>
<td>swetismic<br />
</td>
<td>22<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>0-101-199-1192<br />
</td>
<td>1-20/11-7/6-14/11<br />
</td>
<td>swetismic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>0-199-498-1192<br />
</td>
<td>1-7/6-7/4-14/11<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>0-498-596-1192<br />
</td>
<td>1-7/4-9/8-14/11<br />
</td>
<td>pentacircle<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>0-101-597-1192<br />
</td>
<td>1-20/11-8/5-14/11<br />
</td>
<td>valinorsmic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>0-498-597-1192<br />
</td>
<td>1-7/4-8/5-14/11<br />
</td>
<td>valinorsmic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>0-101-696-1192<br />
</td>
<td>1-20/11-16/11-14/11<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>0-596-696-1192<br />
</td>
<td>1-9/8-16/11-14/11<br />
</td>
<td>pentacircle<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>0-597-696-1192<br />
</td>
<td>1-8/5-16/11-14/11<br />
</td>
<td>valinorsmic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>0-101-993-1192<br />
</td>
<td>1-20/11-12/11-14/11<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>0-696-993-1192<br />
</td>
<td>1-16/11-12/11-14/11<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>0-199-1093-1192<br />
</td>
<td>1-7/6-7/5-14/11<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>0-498-1093-1192<br />
</td>
<td>1-7/4-7/5-14/11<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>0-597-1093-1192<br />
</td>
<td>1-8/5-7/5-14/11<br />
</td>
<td>valinorsmic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>0-993-1093-1192<br />
</td>
<td>1-12/11-7/5-14/11<br />
</td>
<td>swetismic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>0-100-299-1193<br />
</td>
<td>1-9/7-3/2-9/5<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>0-100-596-1193<br />
</td>
<td>1-9/7-9/8-9/5<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>0-299-596-1193<br />
</td>
<td>1-3/2-9/8-9/5<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>0-299-894-1193<br />
</td>
<td>1-3/2-6/5-9/5<br />
</td>
<td>ambitonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>0-597-894-1193<br />
</td>
<td>1-8/5-6/5-9/5<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>0-100-1093-1193<br />
</td>
<td>1-9/7-7/5-9/5<br />
</td>
<td>swetismic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>0-597-1093-1193<br />
</td>
<td>1-8/5-7/5-9/5<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>0-894-1093-1193<br />
</td>
<td>1-6/5-7/5-9/5<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>0-100-199-1292<br />
</td>
<td>1-9/7-7/6-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>0-101-199-1292<br />
</td>
<td>1-20/11-7/6-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>0-100-299-1292<br />
</td>
<td>1-9/7-3/2-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td>0-199-299-1292<br />
</td>
<td>1-7/6-3/2-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td>0-100-596-1292<br />
</td>
<td>1-9/7-9/8-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td>0-299-596-1292<br />
</td>
<td>1-3/2-9/8-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td>0-100-696-1292<br />
</td>
<td>1-9/7-16/11-18/11<br />
</td>
<td>pentacircle<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td>0-101-696-1292<br />
</td>
<td>1-20/11-16/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td>0-596-696-1292<br />
</td>
<td>1-9/8-16/11-18/11<br />
</td>
<td>pentacircle<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td>0-101-993-1292<br />
</td>
<td>1-20/11-12/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td>0-299-993-1292<br />
</td>
<td>1-3/2-12/11-18/11<br />
</td>
<td>ambitonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>47<br />
</td>
<td>0-696-993-1292<br />
</td>
<td>1-16/11-12/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>48<br />
</td>
<td>0-100-1093-1292<br />
</td>
<td>1-9/7-7/5-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>49<br />
</td>
<td>0-199-1093-1292<br />
</td>
<td>1-7/6-7/5-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>50<br />
</td>
<td>0-993-1093-1292<br />
</td>
<td>1-12/11-7/5-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>51<br />
</td>
<td>0-101-1192-1292<br />
</td>
<td>1-20/11-14/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>52<br />
</td>
<td>0-199-1192-1292<br />
</td>
<td>1-7/6-14/11-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>53<br />
</td>
<td>0-596-1192-1292<br />
</td>
<td>1-9/8-14/11-18/11<br />
</td>
<td>pentacircle<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>54<br />
</td>
<td>0-696-1192-1292<br />
</td>
<td>1-16/11-14/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>55<br />
</td>
<td>0-993-1192-1292<br />
</td>
<td>1-12/11-14/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>56<br />
</td>
<td>0-1093-1192-1292<br />
</td>
<td>1-7/5-14/11-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>57<br />
</td>
<td>0-100-1193-1292<br />
</td>
<td>1-9/7-9/5-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>58<br />
</td>
<td>0-299-1193-1292<br />
</td>
<td>1-3/2-9/5-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>59<br />
</td>
<td>0-596-1193-1292<br />
</td>
<td>1-9/8-9/5-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>60<br />
</td>
<td>0-1093-1193-1292<br />
</td>
<td>1-7/5-9/5-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Pentlist"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pentlist</h1>
<table class="wiki_table">
<tr>
<td>Number<br />
</td>
<td>Chord<br />
</td>
<td>Transversal<br />
</td>
<td>Type<br />
</td>
<td>Complexity<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>0-101-597-696-1192<br />
</td>
<td>1-20/11-8/5-16/11-14/11<br />
</td>
<td>valinorsmic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>0-101-696-993-1192<br />
</td>
<td>1-20/11-16/11-12/11-14/11<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>0-199-498-1093-1192<br />
</td>
<td>1-7/6-7/4-7/5-14/11<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>0-498-597-1093-1192<br />
</td>
<td>1-7/4-8/5-7/5-14/11<br />
</td>
<td>valinorsmic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>0-100-299-596-1193<br />
</td>
<td>1-9/7-3/2-9/8-9/5<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>0-597-894-1093-1193<br />
</td>
<td>1-8/5-6/5-7/5-9/5<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>0-100-199-299-1292<br />
</td>
<td>1-9/7-7/6-3/2-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>0-100-299-596-1292<br />
</td>
<td>1-9/7-3/2-9/8-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>0-100-596-696-1292<br />
</td>
<td>1-9/7-9/8-16/11-18/11<br />
</td>
<td>pentacircle<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>0-101-696-993-1292<br />
</td>
<td>1-20/11-16/11-12/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>0-100-199-1093-1292<br />
</td>
<td>1-9/7-7/6-7/5-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>0-101-199-1192-1292<br />
</td>
<td>1-20/11-7/6-14/11-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>0-101-696-1192-1292<br />
</td>
<td>1-20/11-16/11-14/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>0-596-696-1192-1292<br />
</td>
<td>1-9/8-16/11-14/11-18/11<br />
</td>
<td>pentacircle<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>0-101-993-1192-1292<br />
</td>
<td>1-20/11-12/11-14/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>0-696-993-1192-1292<br />
</td>
<td>1-16/11-12/11-14/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>0-199-1093-1192-1292<br />
</td>
<td>1-7/6-7/5-14/11-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>0-993-1093-1192-1292<br />
</td>
<td>1-12/11-7/5-14/11-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>0-100-299-1193-1292<br />
</td>
<td>1-9/7-3/2-9/5-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>0-100-596-1193-1292<br />
</td>
<td>1-9/7-9/8-9/5-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>0-299-596-1193-1292<br />
</td>
<td>1-3/2-9/8-9/5-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>0-100-1093-1193-1292<br />
</td>
<td>1-9/7-7/5-9/5-18/11<br />
</td>
<td>swetismic<br />
</td>
<td>26<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Hexad"></a><!-- ws:end:WikiTextHeadingRule:6 -->Hexad</h1>
<table class="wiki_table">
<tr>
<td>Number<br />
</td>
<td>Chord<br />
</td>
<td>Transversal<br />
</td>
<td>Type<br />
</td>
<td>Complexity<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>0-101-696-993-1192-1292<br />
</td>
<td>1-20/11-16/11-12/11-14/11-18/11<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>0-100-299-596-1193-1292<br />
</td>
<td>1-9/7-3/2-9/8-9/5-18/11<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
</table>
</body></html>