Chords of magic: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>x31eq
**Imported revision 518731298 - Original comment: **
Wikispaces>FREEZE
No edit summary
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:x31eq|x31eq]] and made on <tt>2014-08-17 05:03:57 UTC</tt>.<br>
: The original revision id was <tt>518731298</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 [[Magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.


Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.
Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.
Line 12: Line 5:
Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.
Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.


=Triads=  
=Triads=
|| Number || Chord || Transversal || Type ||
|| 1 || 0-1-2 || 1-5/4-14/9 || marvel ||
|| 2 || 0-2-4 || 1-14/9-6/5 || sensamagic ||
|| 3 || 0-1-5 || 1-5/4-3/2 || otonal ||
|| 4 || 0-4-5 || 1-6/5-3/2 || utonal ||
|| 5 || 0-2-7 || 1-14/9-7/6 || utonal ||
|| 6 || 0-5-7 || 1-3/2-7/6 || otonal ||
|| 7 || 0-1-8 || 1-5/4-16/11 || keenanismic ||
|| 8 || 0-4-8 || 1-6/5-16/11 || ptolemismic ||
|| 9 || 0-7-8 || 1-7/6-16/11 || keenanismic ||
|| 10 || 0-1-9 || 1-5/4-20/11 || utonal ||
|| 11 || 0-2-9 || 1-14/9-9/5 || sensamagic ||
|| 12 || 0-4-9 || 1-6/5-9/5 || otonal ||
|| 13 || 0-5-9 || 1-3/2-9/5 || utonal ||
|| 14 || 0-7-9 || 1-7/6-9/5 || sensamagic ||
|| 15 || 0-8-9 || 1-16/11-20/11 || otonal ||
|| 16 || 0-1-10 || 1-5/4-9/8 || otonal ||
|| 17 || 0-2-10 || 1-14/9-9/8 || pentacircle ||
|| 18 || 0-5-10 || 1-3/2-9/8 || ambitonal ||
|| 19 || 0-8-10 || 1-16/11-9/8 || pentacircle ||
|| 20 || 0-9-10 || 1-9/5-9/8 || utonal ||
|| 21 || 0-1-11 || 1-5/4-7/5 || marvel ||
|| 22 || 0-2-11 || 1-14/9-7/5 || utonal ||
|| 23 || 0-4-11 || 1-6/5-7/5 || otonal ||
|| 24 || 0-7-11 || 1-7/6-7/5 || utonal ||
|| 25 || 0-9-11 || 1-9/5-7/5 || otonal ||
|| 26 || 0-10-11 || 1-9/8-7/5 || marvel ||
|| 27 || 0-1-12 || 1-5/4-7/4 || otonal ||
|| 28 || 0-2-12 || 1-14/9-7/4 || utonal ||
|| 29 || 0-4-12 || 1-6/5-7/4 || keenanismic ||
|| 30 || 0-5-12 || 1-3/2-7/4 || otonal ||
|| 31 || 0-7-12 || 1-7/6-7/4 || utonal ||
|| 32 || 0-8-12 || 1-16/11-7/4 || keenanismic ||
|| 33 || 0-10-12 || 1-9/8-7/4 || otonal ||
|| 34 || 0-11-12 || 1-7/5-7/4 || utonal ||
|| 35 || 0-1-13 || 1-5/4-12/11 || keenanismic ||
|| 36 || 0-2-13 || 1-14/9-12/11 || swetismic ||
|| 37 || 0-4-13 || 1-6/5-12/11 || utonal ||
|| 38 || 0-5-13 || 1-3/2-12/11 || utonal ||
|| 39 || 0-8-13 || 1-16/11-12/11 || otonal ||
|| 40 || 0-9-13 || 1-20/11-12/11 || otonal ||
|| 41 || 0-11-13 || 1-7/5-12/11 || swetismic ||
|| 42 || 0-12-13 || 1-7/4-12/11 || keenanismic ||
|| 43 || 0-5-18 || 1-3/2-18/11 || utonal ||
|| 44 || 0-7-18 || 1-7/6-18/11 || swetismic ||
|| 45 || 0-8-18 || 1-16/11-18/11 || otonal ||
|| 46 || 0-9-18 || 1-9/5-18/11 || utonal ||
|| 47 || 0-10-18 || 1-9/8-18/11 || utonal ||
|| 48 || 0-11-18 || 1-7/5-18/11 || swetismic ||
|| 49 || 0-13-18 || 1-12/11-18/11 || otonal ||
|| 50 || 0-2-20 || 1-14/9-14/11 || utonal ||
|| 51 || 0-7-20 || 1-7/6-14/11 || utonal ||
|| 52 || 0-8-20 || 1-16/11-14/11 || otonal ||
|| 53 || 0-9-20 || 1-20/11-14/11 || otonal ||
|| 54 || 0-10-20 || 1-9/8-14/11 || pentacircle ||
|| 55 || 0-11-20 || 1-7/5-14/11 || utonal ||
|| 56 || 0-12-20 || 1-7/4-14/11 || utonal ||
|| 57 || 0-13-20 || 1-12/11-14/11 || otonal ||
|| 58 || 0-18-20 || 1-18/11-14/11 || otonal ||


=Tetrads=
{| class="wikitable"
|| Number || Chord || Transversal || Type ||
|-
|| 1 || 0-1-2-9 || 1-5/4-14/9-9/5 || magic ||
| | Number
|| 2 || 0-2-4-9 || 1-14/9-6/5-9/5 || sensamagic ||
| | Chord
|| 3 || 0-1-5-9 || 1-5/4-3/2-9/5 || ptolemismic ||
| | Transversal
|| 4 || 0-4-5-9 || 1-6/5-3/2-9/5 || ambitonal ||
| | Type
|| 5 || 0-2-7-9 || 1-14/9-7/6-9/5 || sensamagic ||
|-
|| 6 || 0-5-7-9 || 1-3/2-7/6-9/5 || sensamagic ||
| | 1
|| 7 || 0-1-8-9 || 1-5/4-16/11-9/5 || supermagic ||
| | 0-1-2
|| 8 || 0-4-8-9 || 1-6/5-16/11-9/5 || ptolemismic ||
| | 1-5/4-14/9
|| 9 || 0-7-8-9 || 1-7/6-16/11-9/5 || magic ||
| | marvel
|| 10 || 0-1-2-10 || 1-5/4-14/9-9/8 || apollo ||
|-
|| 11 || 0-1-5-10 || 1-5/4-3/2-9/8 || otonal ||
| | 2
|| 12 || 0-1-8-10 || 1-5/4-16/11-9/8 || sensamagic11 ||
| | 0-2-4
|| 13 || 0-1-9-10 || 1-5/4-9/5-9/8 || ptolemismic ||
| | 1-14/9-6/5
|| 14 || 0-2-9-10 || 1-14/9-9/5-9/8 || sensamagic11 ||
| | sensamagic
|| 15 || 0-5-9-10 || 1-3/2-9/5-9/8 || utonal ||
|-
|| 16 || 0-8-9-10 || 1-16/11-9/5-9/8 || apollo ||
| | 3
|| 17 || 0-1-2-11 || 1-5/4-14/9-7/5 || marvel ||
| | 0-1-5
|| 18 || 0-2-4-11 || 1-14/9-6/5-7/5 || sensamagic ||
| | 1-5/4-3/2
|| 19 || 0-2-7-11 || 1-14/9-7/6-7/5 || utonal ||
| | otonal
|| 20 || 0-1-9-11 || 1-5/4-9/5-7/5 || apollo ||
|-
|| 21 || 0-2-9-11 || 1-14/9-9/5-7/5 || sensamagic ||
| | 4
|| 22 || 0-4-9-11 || 1-6/5-9/5-7/5 || otonal ||
| | 0-4-5
|| 23 || 0-7-9-11 || 1-7/6-9/5-7/5 || sensamagic ||
| | 1-6/5-3/2
|| 24 || 0-1-10-11 || 1-5/4-9/8-7/5 || marvel ||
| | utonal
|| 25 || 0-2-10-11 || 1-14/9-9/8-7/5 || apollo ||
|-
|| 26 || 0-9-10-11 || 1-9/5-9/8-7/5 || marvel ||
| | 5
|| 27 || 0-1-2-12 || 1-5/4-14/9-7/4 || marvel ||
| | 0-2-7
|| 28 || 0-2-4-12 || 1-14/9-6/5-7/4 || sensamagic11 ||
| | 1-14/9-7/6
|| 29 || 0-1-5-12 || 1-5/4-3/2-7/4 || otonal ||
| | utonal
|| 30 || 0-4-5-12 || 1-6/5-3/2-7/4 || keenanismic ||
|-
|| 31 || 0-2-7-12 || 1-14/9-7/6-7/4 || utonal ||
| | 6
|| 32 || 0-5-7-12 || 1-3/2-7/6-7/4 || ambitonal ||
| | 0-5-7
|| 33 || 0-1-8-12 || 1-5/4-16/11-7/4 || keenanismic ||
| | 1-3/2-7/6
|| 34 || 0-4-8-12 || 1-6/5-16/11-7/4 || supermagic ||
| | otonal
|| 35 || 0-7-8-12 || 1-7/6-16/11-7/4 || keenanismic ||
|-
|| 36 || 0-1-10-12 || 1-5/4-9/8-7/4 || otonal ||
| | 7
|| 37 || 0-2-10-12 || 1-14/9-9/8-7/4 || pentacircle ||
| | 0-1-8
|| 38 || 0-5-10-12 || 1-3/2-9/8-7/4 || otonal ||
| | 1-5/4-16/11
|| 39 || 0-8-10-12 || 1-16/11-9/8-7/4 || sensamagic11 ||
| | keenanismic
|| 40 || 0-1-11-12 || 1-5/4-7/5-7/4 || marvel ||
|-
|| 41 || 0-2-11-12 || 1-14/9-7/5-7/4 || utonal ||
| | 8
|| 42 || 0-4-11-12 || 1-6/5-7/5-7/4 || keenanismic ||
| | 0-4-8
|| 43 || 0-7-11-12 || 1-7/6-7/5-7/4 || utonal ||
| | 1-6/5-16/11
|| 44 || 0-10-11-12 || 1-9/8-7/5-7/4 || marvel ||
| | ptolemismic
|| 45 || 0-1-2-13 || 1-5/4-14/9-12/11 || unimarvel ||
|-
|| 46 || 0-2-4-13 || 1-14/9-6/5-12/11 || octarod ||
| | 9
|| 47 || 0-1-5-13 || 1-5/4-3/2-12/11 || keenanismic ||
| | 0-7-8
|| 48 || 0-4-5-13 || 1-6/5-3/2-12/11 || utonal ||
| | 1-7/6-16/11
|| 49 || 0-1-8-13 || 1-5/4-16/11-12/11 || keenanismic ||
| | keenanismic
|| 50 || 0-4-8-13 || 1-6/5-16/11-12/11 || ptolemismic ||
|-
|| 51 || 0-1-9-13 || 1-5/4-9/5-12/11 || supermagic ||
| | 10
|| 52 || 0-2-9-13 || 1-14/9-9/5-12/11 || octarod ||
| | 0-1-9
|| 53 || 0-4-9-13 || 1-6/5-9/5-12/11 || ptolemismic ||
| | 1-5/4-20/11
|| 54 || 0-5-9-13 || 1-3/2-9/5-12/11 || ptolemismic ||
| | utonal
|| 55 || 0-8-9-13 || 1-16/11-20/11-12/11 || otonal ||
|-
|| 56 || 0-1-11-13 || 1-5/4-7/5-12/11 || unimarvel ||
| | 11
|| 57 || 0-2-11-13 || 1-14/9-7/5-12/11 || swetismic ||
| | 0-2-9
|| 58 || 0-4-11-13 || 1-6/5-7/5-12/11 || octarod ||
| | 1-14/9-9/5
|| 59 || 0-9-11-13 || 1-9/5-7/5-12/11 || octarod ||
| | sensamagic
|| 60 || 0-1-12-13 || 1-5/4-7/4-12/11 || keenanismic ||
|-
|| 61 || 0-2-12-13 || 1-14/9-7/4-12/11 || unimarvel ||
| | 12
|| 62 || 0-4-12-13 || 1-6/5-7/4-12/11 || supermagic ||
| | 0-4-9
|| 63 || 0-5-12-13 || 1-3/2-7/4-12/11 || keenanismic ||
| | 1-6/5-9/5
|| 64 || 0-8-12-13 || 1-16/11-7/4-12/11 || keenanismic ||
| | otonal
|| 65 || 0-11-12-13 || 1-7/5-7/4-12/11 || unimarvel ||
|-
|| 66 || 0-5-7-18 || 1-3/2-7/6-18/11 || swetismic ||
| | 13
|| 67 || 0-7-8-18 || 1-7/6-16/11-18/11 || unimarvel ||
| | 0-5-9
|| 68 || 0-5-9-18 || 1-3/2-9/5-18/11 || utonal ||
| | 1-3/2-9/5
|| 69 || 0-7-9-18 || 1-7/6-9/5-18/11 || octarod ||
| | utonal
|| 70 || 0-8-9-18 || 1-16/11-20/11-18/11 || otonal ||
|-
|| 71 || 0-5-10-18 || 1-3/2-9/8-18/11 || utonal ||
| | 14
|| 72 || 0-8-10-18 || 1-16/11-9/8-18/11 || pentacircle ||
| | 0-7-9
|| 73 || 0-9-10-18 || 1-9/5-9/8-18/11 || utonal ||
| | 1-7/6-9/5
|| 74 || 0-7-11-18 || 1-7/6-7/5-18/11 || swetismic ||
| | sensamagic
|| 75 || 0-9-11-18 || 1-9/5-7/5-18/11 || octarod ||
|-
|| 76 || 0-10-11-18 || 1-9/8-7/5-18/11 || unimarvel ||
| | 15
|| 77 || 0-5-13-18 || 1-3/2-12/11-18/11 || ambitonal ||
| | 0-8-9
|| 78 || 0-8-13-18 || 1-16/11-12/11-18/11 || otonal ||
| | 1-16/11-20/11
|| 79 || 0-9-13-18 || 1-20/11-12/11-18/11 || otonal ||
| | otonal
|| 80 || 0-11-13-18 || 1-7/5-12/11-18/11 || swetismic ||
|-
|| 81 || 0-2-7-20 || 1-14/9-7/6-14/11 || utonal ||
| | 16
|| 82 || 0-7-8-20 || 1-7/6-16/11-14/11 || keenanismic ||
| | 0-1-10
|| 83 || 0-2-9-20 || 1-14/9-9/5-14/11 || octarod ||
| | 1-5/4-9/8
|| 84 || 0-7-9-20 || 1-7/6-9/5-14/11 || octarod ||
| | otonal
|| 85 || 0-8-9-20 || 1-16/11-20/11-14/11 || otonal ||
|-
|| 86 || 0-2-10-20 || 1-14/9-9/8-14/11 || pentacircle ||
| | 17
|| 87 || 0-8-10-20 || 1-16/11-9/8-14/11 || pentacircle ||
| | 0-2-10
|| 88 || 0-9-10-20 || 1-9/5-9/8-14/11 || apollo ||
| | 1-14/9-9/8
|| 89 || 0-2-11-20 || 1-14/9-7/5-14/11 || utonal ||
| | pentacircle
|| 90 || 0-7-11-20 || 1-7/6-7/5-14/11 || utonal ||
|-
|| 91 || 0-9-11-20 || 1-9/5-7/5-14/11 || ptolemismic ||
| | 18
|| 92 || 0-10-11-20 || 1-9/8-7/5-14/11 || apollo ||
| | 0-5-10
|| 93 || 0-2-12-20 || 1-14/9-7/4-14/11 || utonal ||
| | 1-3/2-9/8
|| 94 || 0-7-12-20 || 1-7/6-7/4-14/11 || utonal ||
| | ambitonal
|| 95 || 0-8-12-20 || 1-16/11-7/4-14/11 || keenanismic ||
|-
|| 96 || 0-10-12-20 || 1-9/8-7/4-14/11 || pentacircle ||
| | 19
|| 97 || 0-11-12-20 || 1-7/5-7/4-14/11 || utonal ||
| | 0-8-10
|| 98 || 0-2-13-20 || 1-14/9-12/11-14/11 || swetismic ||
| | 1-16/11-9/8
|| 99 || 0-8-13-20 || 1-16/11-12/11-14/11 || otonal ||
| | pentacircle
|| 100 || 0-9-13-20 || 1-20/11-12/11-14/11 || otonal ||
|-
|| 101 || 0-11-13-20 || 1-7/5-12/11-14/11 || octarod ||
| | 20
|| 102 || 0-12-13-20 || 1-7/4-12/11-14/11 || keenanismic ||
| | 0-9-10
|| 103 || 0-7-18-20 || 1-7/6-18/11-14/11 || swetismic ||
| | 1-9/5-9/8
|| 104 || 0-8-18-20 || 1-16/11-18/11-14/11 || otonal ||
| | utonal
|| 105 || 0-9-18-20 || 1-20/11-18/11-14/11 || otonal ||
|-
|| 106 || 0-10-18-20 || 1-9/8-18/11-14/11 || pentacircle ||
| | 21
|| 107 || 0-11-18-20 || 1-7/5-18/11-14/11 || octarod ||
| | 0-1-11
|| 108 || 0-13-18-20 || 1-12/11-18/11-14/11 || otonal ||
| | 1-5/4-7/5
| | marvel
|-
| | 22
| | 0-2-11
| | 1-14/9-7/5
| | utonal
|-
| | 23
| | 0-4-11
| | 1-6/5-7/5
| | otonal
|-
| | 24
| | 0-7-11
| | 1-7/6-7/5
| | utonal
|-
| | 25
| | 0-9-11
| | 1-9/5-7/5
| | otonal
|-
| | 26
| | 0-10-11
| | 1-9/8-7/5
| | marvel
|-
| | 27
| | 0-1-12
| | 1-5/4-7/4
| | otonal
|-
| | 28
| | 0-2-12
| | 1-14/9-7/4
| | utonal
|-
| | 29
| | 0-4-12
| | 1-6/5-7/4
| | keenanismic
|-
| | 30
| | 0-5-12
| | 1-3/2-7/4
| | otonal
|-
| | 31
| | 0-7-12
| | 1-7/6-7/4
| | utonal
|-
| | 32
| | 0-8-12
| | 1-16/11-7/4
| | keenanismic
|-
| | 33
| | 0-10-12
| | 1-9/8-7/4
| | otonal
|-
| | 34
| | 0-11-12
| | 1-7/5-7/4
| | utonal
|-
| | 35
| | 0-1-13
| | 1-5/4-12/11
| | keenanismic
|-
| | 36
| | 0-2-13
| | 1-14/9-12/11
| | swetismic
|-
| | 37
| | 0-4-13
| | 1-6/5-12/11
| | utonal
|-
| | 38
| | 0-5-13
| | 1-3/2-12/11
| | utonal
|-
| | 39
| | 0-8-13
| | 1-16/11-12/11
| | otonal
|-
| | 40
| | 0-9-13
| | 1-20/11-12/11
| | otonal
|-
| | 41
| | 0-11-13
| | 1-7/5-12/11
| | swetismic
|-
| | 42
| | 0-12-13
| | 1-7/4-12/11
| | keenanismic
|-
| | 43
| | 0-5-18
| | 1-3/2-18/11
| | utonal
|-
| | 44
| | 0-7-18
| | 1-7/6-18/11
| | swetismic
|-
| | 45
| | 0-8-18
| | 1-16/11-18/11
| | otonal
|-
| | 46
| | 0-9-18
| | 1-9/5-18/11
| | utonal
|-
| | 47
| | 0-10-18
| | 1-9/8-18/11
| | utonal
|-
| | 48
| | 0-11-18
| | 1-7/5-18/11
| | swetismic
|-
| | 49
| | 0-13-18
| | 1-12/11-18/11
| | otonal
|-
| | 50
| | 0-2-20
| | 1-14/9-14/11
| | utonal
|-
| | 51
| | 0-7-20
| | 1-7/6-14/11
| | utonal
|-
| | 52
| | 0-8-20
| | 1-16/11-14/11
| | otonal
|-
| | 53
| | 0-9-20
| | 1-20/11-14/11
| | otonal
|-
| | 54
| | 0-10-20
| | 1-9/8-14/11
| | pentacircle
|-
| | 55
| | 0-11-20
| | 1-7/5-14/11
| | utonal
|-
| | 56
| | 0-12-20
| | 1-7/4-14/11
| | utonal
|-
| | 57
| | 0-13-20
| | 1-12/11-14/11
| | otonal
|-
| | 58
| | 0-18-20
| | 1-18/11-14/11
| | otonal
|}


=Pentads=  
=Tetrads=
|| Number || Chord || Transversal || Type ||
|| 1 || 0-1-2-9-10 || 1-5/4-14/9-9/5-9/8 || magic ||
|| 2 || 0-1-5-9-10 || 1-5/4-3/2-9/5-9/8 || ptolemismic ||
|| 3 || 0-1-8-9-10 || 1-5/4-16/11-9/5-9/8 || magic ||
|| 4 || 0-1-2-9-11 || 1-5/4-14/9-9/5-7/5 || magic ||
|| 5 || 0-2-4-9-11 || 1-14/9-6/5-9/5-7/5 || sensamagic ||
|| 6 || 0-2-7-9-11 || 1-14/9-7/6-9/5-7/5 || sensamagic ||
|| 7 || 0-1-2-10-11 || 1-5/4-14/9-9/8-7/5 || apollo ||
|| 8 || 0-1-9-10-11 || 1-5/4-9/5-9/8-7/5 || apollo ||
|| 9 || 0-2-9-10-11 || 1-14/9-9/5-9/8-7/5 || magic ||
|| 10 || 0-1-2-10-12 || 1-5/4-14/9-9/8-7/4 || apollo ||
|| 11 || 0-1-5-10-12 || 1-5/4-3/2-9/8-7/4 || otonal ||
|| 12 || 0-1-8-10-12 || 1-5/4-16/11-9/8-7/4 || sensamagic11 ||
|| 13 || 0-1-2-11-12 || 1-5/4-14/9-7/5-7/4 || marvel ||
|| 14 || 0-2-4-11-12 || 1-14/9-6/5-7/5-7/4 || sensamagic11 ||
|| 15 || 0-2-7-11-12 || 1-14/9-7/6-7/5-7/4 || utonal ||
|| 16 || 0-1-10-11-12 || 1-5/4-9/8-7/5-7/4 || marvel ||
|| 17 || 0-2-10-11-12 || 1-14/9-9/8-7/5-7/4 || apollo ||
|| 18 || 0-1-2-9-13 || 1-5/4-14/9-9/5-12/11 || magic ||
|| 19 || 0-2-4-9-13 || 1-14/9-6/5-9/5-12/11 || octarod ||
|| 20 || 0-1-5-9-13 || 1-5/4-3/2-9/5-12/11 || supermagic ||
|| 21 || 0-4-5-9-13 || 1-6/5-3/2-9/5-12/11 || ptolemismic ||
|| 22 || 0-1-8-9-13 || 1-5/4-16/11-9/5-12/11 || supermagic ||
|| 23 || 0-4-8-9-13 || 1-6/5-16/11-9/5-12/11 || ptolemismic ||
|| 24 || 0-1-2-11-13 || 1-5/4-14/9-7/5-12/11 || unimarvel ||
|| 25 || 0-2-4-11-13 || 1-14/9-6/5-7/5-12/11 || octarod ||
|| 26 || 0-1-9-11-13 || 1-5/4-9/5-7/5-12/11 || magic ||
|| 27 || 0-2-9-11-13 || 1-14/9-9/5-7/5-12/11 || octarod ||
|| 28 || 0-4-9-11-13 || 1-6/5-9/5-7/5-12/11 || octarod ||
|| 29 || 0-1-2-12-13 || 1-5/4-14/9-7/4-12/11 || unimarvel ||
|| 30 || 0-2-4-12-13 || 1-14/9-6/5-7/4-12/11 || magic ||
|| 31 || 0-1-5-12-13 || 1-5/4-3/2-7/4-12/11 || keenanismic ||
|| 32 || 0-4-5-12-13 || 1-6/5-3/2-7/4-12/11 || supermagic ||
|| 33 || 0-1-8-12-13 || 1-5/4-16/11-7/4-12/11 || keenanismic ||
|| 34 || 0-4-8-12-13 || 1-6/5-16/11-7/4-12/11 || supermagic ||
|| 35 || 0-1-11-12-13 || 1-5/4-7/5-7/4-12/11 || unimarvel ||
|| 36 || 0-2-11-12-13 || 1-14/9-7/5-7/4-12/11 || unimarvel ||
|| 37 || 0-4-11-12-13 || 1-6/5-7/5-7/4-12/11 || magic ||
|| 38 || 0-5-7-9-18 || 1-3/2-7/6-9/5-18/11 || octarod ||
|| 39 || 0-7-8-9-18 || 1-7/6-16/11-9/5-18/11 || magic ||
|| 40 || 0-5-9-10-18 || 1-3/2-9/5-9/8-18/11 || utonal ||
|| 41 || 0-8-9-10-18 || 1-16/11-9/5-9/8-18/11 || apollo ||
|| 42 || 0-7-9-11-18 || 1-7/6-9/5-7/5-18/11 || octarod ||
|| 43 || 0-9-10-11-18 || 1-9/5-9/8-7/5-18/11 || magic ||
|| 44 || 0-5-9-13-18 || 1-3/2-9/5-12/11-18/11 || ptolemismic ||
|| 45 || 0-8-9-13-18 || 1-16/11-20/11-12/11-18/11 || otonal ||
|| 46 || 0-9-11-13-18 || 1-9/5-7/5-12/11-18/11 || octarod ||
|| 47 || 0-2-7-9-20 || 1-14/9-7/6-9/5-14/11 || octarod ||
|| 48 || 0-7-8-9-20 || 1-7/6-16/11-9/5-14/11 || magic ||
|| 49 || 0-2-9-10-20 || 1-14/9-9/5-9/8-14/11 || magic ||
|| 50 || 0-8-9-10-20 || 1-16/11-9/5-9/8-14/11 || apollo ||
|| 51 || 0-2-7-11-20 || 1-14/9-7/6-7/5-14/11 || utonal ||
|| 52 || 0-2-9-11-20 || 1-14/9-9/5-7/5-14/11 || octarod ||
|| 53 || 0-7-9-11-20 || 1-7/6-9/5-7/5-14/11 || octarod ||
|| 54 || 0-2-10-11-20 || 1-14/9-9/8-7/5-14/11 || apollo ||
|| 55 || 0-9-10-11-20 || 1-9/5-9/8-7/5-14/11 || apollo ||
|| 56 || 0-2-7-12-20 || 1-14/9-7/6-7/4-14/11 || utonal ||
|| 57 || 0-7-8-12-20 || 1-7/6-16/11-7/4-14/11 || keenanismic ||
|| 58 || 0-2-10-12-20 || 1-14/9-9/8-7/4-14/11 || pentacircle ||
|| 59 || 0-8-10-12-20 || 1-16/11-9/8-7/4-14/11 || sensamagic11 ||
|| 60 || 0-2-11-12-20 || 1-14/9-7/5-7/4-14/11 || utonal ||
|| 61 || 0-7-11-12-20 || 1-7/6-7/5-7/4-14/11 || utonal ||
|| 62 || 0-10-11-12-20 || 1-9/8-7/5-7/4-14/11 || apollo ||
|| 63 || 0-2-9-13-20 || 1-14/9-9/5-12/11-14/11 || octarod ||
|| 64 || 0-8-9-13-20 || 1-16/11-20/11-12/11-14/11 || otonal ||
|| 65 || 0-2-11-13-20 || 1-14/9-7/5-12/11-14/11 || octarod ||
|| 66 || 0-9-11-13-20 || 1-9/5-7/5-12/11-14/11 || octarod ||
|| 67 || 0-2-12-13-20 || 1-14/9-7/4-12/11-14/11 || unimarvel ||
|| 68 || 0-8-12-13-20 || 1-16/11-7/4-12/11-14/11 || keenanismic ||
|| 69 || 0-11-12-13-20 || 1-7/5-7/4-12/11-14/11 || magic ||
|| 70 || 0-7-8-18-20 || 1-7/6-16/11-18/11-14/11 || unimarvel ||
|| 71 || 0-7-9-18-20 || 1-7/6-9/5-18/11-14/11 || octarod ||
|| 72 || 0-8-9-18-20 || 1-16/11-20/11-18/11-14/11 || otonal ||
|| 73 || 0-8-10-18-20 || 1-16/11-9/8-18/11-14/11 || pentacircle ||
|| 74 || 0-9-10-18-20 || 1-9/5-9/8-18/11-14/11 || apollo ||
|| 75 || 0-7-11-18-20 || 1-7/6-7/5-18/11-14/11 || octarod ||
|| 76 || 0-9-11-18-20 || 1-9/5-7/5-18/11-14/11 || octarod ||
|| 77 || 0-10-11-18-20 || 1-9/8-7/5-18/11-14/11 || magic ||
|| 78 || 0-8-13-18-20 || 1-16/11-12/11-18/11-14/11 || otonal ||
|| 79 || 0-9-13-18-20 || 1-20/11-12/11-18/11-14/11 || otonal ||
|| 80 || 0-11-13-18-20 || 1-7/5-12/11-18/11-14/11 || octarod ||


=Hexads=
{| class="wikitable"
|| Number || Chord || Transversal || Type ||
|-
|| 1 || 0-1-2-9-10-11 || 1-5/4-14/9-9/5-9/8-7/5 || magic ||
| | Number
|| 2 || 0-1-2-10-11-12 || 1-5/4-14/9-9/8-7/5-7/4 || apollo ||
| | Chord
|| 3 || 0-1-2-9-11-13 || 1-5/4-14/9-9/5-7/5-12/11 || magic ||
| | Transversal
|| 4 || 0-2-4-9-11-13 || 1-14/9-6/5-9/5-7/5-12/11 || octarod ||
| | Type
|| 5 || 0-1-2-11-12-13 || 1-5/4-14/9-7/5-7/4-12/11 || unimarvel ||
|-
|| 6 || 0-2-4-11-12-13 || 1-14/9-6/5-7/5-7/4-12/11 || magic ||
| | 1
|| 7 || 0-2-7-9-11-20 || 1-14/9-7/6-9/5-7/5-14/11 || octarod ||
| | 0-1-2-9
|| 8 || 0-2-9-10-11-20 || 1-14/9-9/5-9/8-7/5-14/11 || magic ||
| | 1-5/4-14/9-9/5
|| 9 || 0-2-7-11-12-20 || 1-14/9-7/6-7/5-7/4-14/11 || utonal ||
| | magic
|| 10 || 0-2-10-11-12-20 || 1-14/9-9/8-7/5-7/4-14/11 || apollo ||
|-
|| 11 || 0-2-9-11-13-20 || 1-14/9-9/5-7/5-12/11-14/11 || octarod ||
| | 2
|| 12 || 0-2-11-12-13-20 || 1-14/9-7/5-7/4-12/11-14/11 || magic ||
| | 0-2-4-9
|| 13 || 0-7-8-9-18-20 || 1-7/6-16/11-9/5-18/11-14/11 || magic ||
| | 1-14/9-6/5-9/5
|| 14 || 0-8-9-10-18-20 || 1-16/11-9/5-9/8-18/11-14/11 || apollo ||
| | sensamagic
|| 15 || 0-7-9-11-18-20 || 1-7/6-9/5-7/5-18/11-14/11 || octarod ||
|-
|| 16 || 0-9-10-11-18-20 || 1-9/5-9/8-7/5-18/11-14/11 || magic ||
| | 3
|| 17 || 0-8-9-13-18-20 || 1-16/11-20/11-12/11-18/11-14/11 || otonal ||
| | 0-1-5-9
|| 18 || 0-9-11-13-18-20 || 1-9/5-7/5-12/11-18/11-14/11 || octarod ||</pre></div>
| | 1-5/4-3/2-9/5
<h4>Original HTML content:</h4>
| | ptolemismic
<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 magic&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="/Magic"&gt;magic temperament&lt;/a&gt;. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.&lt;br /&gt;
|-
&lt;br /&gt;
| | 4
Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.&lt;br /&gt;
| | 0-4-5-9
&lt;br /&gt;
| | 1-6/5-3/2-9/5
Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.&lt;br /&gt;
| | ambitonal
&lt;br /&gt;
|-
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Triads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Triads&lt;/h1&gt;
| | 5
| | 0-2-7-9
| | 1-14/9-7/6-9/5
| | sensamagic
|-
| | 6
| | 0-5-7-9
| | 1-3/2-7/6-9/5
| | sensamagic
|-
| | 7
| | 0-1-8-9
| | 1-5/4-16/11-9/5
| | supermagic
|-
| | 8
| | 0-4-8-9
| | 1-6/5-16/11-9/5
| | ptolemismic
|-
| | 9
| | 0-7-8-9
| | 1-7/6-16/11-9/5
| | magic
|-
| | 10
| | 0-1-2-10
| | 1-5/4-14/9-9/8
| | apollo
|-
| | 11
| | 0-1-5-10
| | 1-5/4-3/2-9/8
| | otonal
|-
| | 12
| | 0-1-8-10
| | 1-5/4-16/11-9/8
| | sensamagic11
|-
| | 13
| | 0-1-9-10
| | 1-5/4-9/5-9/8
| | ptolemismic
|-
| | 14
| | 0-2-9-10
| | 1-14/9-9/5-9/8
| | sensamagic11
|-
| | 15
| | 0-5-9-10
| | 1-3/2-9/5-9/8
| | utonal
|-
| | 16
| | 0-8-9-10
| | 1-16/11-9/5-9/8
| | apollo
|-
| | 17
| | 0-1-2-11
| | 1-5/4-14/9-7/5
| | marvel
|-
| | 18
| | 0-2-4-11
| | 1-14/9-6/5-7/5
| | sensamagic
|-
| | 19
| | 0-2-7-11
| | 1-14/9-7/6-7/5
| | utonal
|-
| | 20
| | 0-1-9-11
| | 1-5/4-9/5-7/5
| | apollo
|-
| | 21
| | 0-2-9-11
| | 1-14/9-9/5-7/5
| | sensamagic
|-
| | 22
| | 0-4-9-11
| | 1-6/5-9/5-7/5
| | otonal
|-
| | 23
| | 0-7-9-11
| | 1-7/6-9/5-7/5
| | sensamagic
|-
| | 24
| | 0-1-10-11
| | 1-5/4-9/8-7/5
| | marvel
|-
| | 25
| | 0-2-10-11
| | 1-14/9-9/8-7/5
| | apollo
|-
| | 26
| | 0-9-10-11
| | 1-9/5-9/8-7/5
| | marvel
|-
| | 27
| | 0-1-2-12
| | 1-5/4-14/9-7/4
| | marvel
|-
| | 28
| | 0-2-4-12
| | 1-14/9-6/5-7/4
| | sensamagic11
|-
| | 29
| | 0-1-5-12
| | 1-5/4-3/2-7/4
| | otonal
|-
| | 30
| | 0-4-5-12
| | 1-6/5-3/2-7/4
| | keenanismic
|-
| | 31
| | 0-2-7-12
| | 1-14/9-7/6-7/4
| | utonal
|-
| | 32
| | 0-5-7-12
| | 1-3/2-7/6-7/4
| | ambitonal
|-
| | 33
| | 0-1-8-12
| | 1-5/4-16/11-7/4
| | keenanismic
|-
| | 34
| | 0-4-8-12
| | 1-6/5-16/11-7/4
| | supermagic
|-
| | 35
| | 0-7-8-12
| | 1-7/6-16/11-7/4
| | keenanismic
|-
| | 36
| | 0-1-10-12
| | 1-5/4-9/8-7/4
| | otonal
|-
| | 37
| | 0-2-10-12
| | 1-14/9-9/8-7/4
| | pentacircle
|-
| | 38
| | 0-5-10-12
| | 1-3/2-9/8-7/4
| | otonal
|-
| | 39
| | 0-8-10-12
| | 1-16/11-9/8-7/4
| | sensamagic11
|-
| | 40
| | 0-1-11-12
| | 1-5/4-7/5-7/4
| | marvel
|-
| | 41
| | 0-2-11-12
| | 1-14/9-7/5-7/4
| | utonal
|-
| | 42
| | 0-4-11-12
| | 1-6/5-7/5-7/4
| | keenanismic
|-
| | 43
| | 0-7-11-12
| | 1-7/6-7/5-7/4
| | utonal
|-
| | 44
| | 0-10-11-12
| | 1-9/8-7/5-7/4
| | marvel
|-
| | 45
| | 0-1-2-13
| | 1-5/4-14/9-12/11
| | unimarvel
|-
| | 46
| | 0-2-4-13
| | 1-14/9-6/5-12/11
| | octarod
|-
| | 47
| | 0-1-5-13
| | 1-5/4-3/2-12/11
| | keenanismic
|-
| | 48
| | 0-4-5-13
| | 1-6/5-3/2-12/11
| | utonal
|-
| | 49
| | 0-1-8-13
| | 1-5/4-16/11-12/11
| | keenanismic
|-
| | 50
| | 0-4-8-13
| | 1-6/5-16/11-12/11
| | ptolemismic
|-
| | 51
| | 0-1-9-13
| | 1-5/4-9/5-12/11
| | supermagic
|-
| | 52
| | 0-2-9-13
| | 1-14/9-9/5-12/11
| | octarod
|-
| | 53
| | 0-4-9-13
| | 1-6/5-9/5-12/11
| | ptolemismic
|-
| | 54
| | 0-5-9-13
| | 1-3/2-9/5-12/11
| | ptolemismic
|-
| | 55
| | 0-8-9-13
| | 1-16/11-20/11-12/11
| | otonal
|-
| | 56
| | 0-1-11-13
| | 1-5/4-7/5-12/11
| | unimarvel
|-
| | 57
| | 0-2-11-13
| | 1-14/9-7/5-12/11
| | swetismic
|-
| | 58
| | 0-4-11-13
| | 1-6/5-7/5-12/11
| | octarod
|-
| | 59
| | 0-9-11-13
| | 1-9/5-7/5-12/11
| | octarod
|-
| | 60
| | 0-1-12-13
| | 1-5/4-7/4-12/11
| | keenanismic
|-
| | 61
| | 0-2-12-13
| | 1-14/9-7/4-12/11
| | unimarvel
|-
| | 62
| | 0-4-12-13
| | 1-6/5-7/4-12/11
| | supermagic
|-
| | 63
| | 0-5-12-13
| | 1-3/2-7/4-12/11
| | keenanismic
|-
| | 64
| | 0-8-12-13
| | 1-16/11-7/4-12/11
| | keenanismic
|-
| | 65
| | 0-11-12-13
| | 1-7/5-7/4-12/11
| | unimarvel
|-
| | 66
| | 0-5-7-18
| | 1-3/2-7/6-18/11
| | swetismic
|-
| | 67
| | 0-7-8-18
| | 1-7/6-16/11-18/11
| | unimarvel
|-
| | 68
| | 0-5-9-18
| | 1-3/2-9/5-18/11
| | utonal
|-
| | 69
| | 0-7-9-18
| | 1-7/6-9/5-18/11
| | octarod
|-
| | 70
| | 0-8-9-18
| | 1-16/11-20/11-18/11
| | otonal
|-
| | 71
| | 0-5-10-18
| | 1-3/2-9/8-18/11
| | utonal
|-
| | 72
| | 0-8-10-18
| | 1-16/11-9/8-18/11
| | pentacircle
|-
| | 73
| | 0-9-10-18
| | 1-9/5-9/8-18/11
| | utonal
|-
| | 74
| | 0-7-11-18
| | 1-7/6-7/5-18/11
| | swetismic
|-
| | 75
| | 0-9-11-18
| | 1-9/5-7/5-18/11
| | octarod
|-
| | 76
| | 0-10-11-18
| | 1-9/8-7/5-18/11
| | unimarvel
|-
| | 77
| | 0-5-13-18
| | 1-3/2-12/11-18/11
| | ambitonal
|-
| | 78
| | 0-8-13-18
| | 1-16/11-12/11-18/11
| | otonal
|-
| | 79
| | 0-9-13-18
| | 1-20/11-12/11-18/11
| | otonal
|-
| | 80
| | 0-11-13-18
| | 1-7/5-12/11-18/11
| | swetismic
|-
| | 81
| | 0-2-7-20
| | 1-14/9-7/6-14/11
| | utonal
|-
| | 82
| | 0-7-8-20
| | 1-7/6-16/11-14/11
| | keenanismic
|-
| | 83
| | 0-2-9-20
| | 1-14/9-9/5-14/11
| | octarod
|-
| | 84
| | 0-7-9-20
| | 1-7/6-9/5-14/11
| | octarod
|-
| | 85
| | 0-8-9-20
| | 1-16/11-20/11-14/11
| | otonal
|-
| | 86
| | 0-2-10-20
| | 1-14/9-9/8-14/11
| | pentacircle
|-
| | 87
| | 0-8-10-20
| | 1-16/11-9/8-14/11
| | pentacircle
|-
| | 88
| | 0-9-10-20
| | 1-9/5-9/8-14/11
| | apollo
|-
| | 89
| | 0-2-11-20
| | 1-14/9-7/5-14/11
| | utonal
|-
| | 90
| | 0-7-11-20
| | 1-7/6-7/5-14/11
| | utonal
|-
| | 91
| | 0-9-11-20
| | 1-9/5-7/5-14/11
| | ptolemismic
|-
| | 92
| | 0-10-11-20
| | 1-9/8-7/5-14/11
| | apollo
|-
| | 93
| | 0-2-12-20
| | 1-14/9-7/4-14/11
| | utonal
|-
| | 94
| | 0-7-12-20
| | 1-7/6-7/4-14/11
| | utonal
|-
| | 95
| | 0-8-12-20
| | 1-16/11-7/4-14/11
| | keenanismic
|-
| | 96
| | 0-10-12-20
| | 1-9/8-7/4-14/11
| | pentacircle
|-
| | 97
| | 0-11-12-20
| | 1-7/5-7/4-14/11
| | utonal
|-
| | 98
| | 0-2-13-20
| | 1-14/9-12/11-14/11
| | swetismic
|-
| | 99
| | 0-8-13-20
| | 1-16/11-12/11-14/11
| | otonal
|-
| | 100
| | 0-9-13-20
| | 1-20/11-12/11-14/11
| | otonal
|-
| | 101
| | 0-11-13-20
| | 1-7/5-12/11-14/11
| | octarod
|-
| | 102
| | 0-12-13-20
| | 1-7/4-12/11-14/11
| | keenanismic
|-
| | 103
| | 0-7-18-20
| | 1-7/6-18/11-14/11
| | swetismic
|-
| | 104
| | 0-8-18-20
| | 1-16/11-18/11-14/11
| | otonal
|-
| | 105
| | 0-9-18-20
| | 1-20/11-18/11-14/11
| | otonal
|-
| | 106
| | 0-10-18-20
| | 1-9/8-18/11-14/11
| | pentacircle
|-
| | 107
| | 0-11-18-20
| | 1-7/5-18/11-14/11
| | octarod
|-
| | 108
| | 0-13-18-20
| | 1-12/11-18/11-14/11
| | otonal
|}


&lt;table class="wiki_table"&gt;
=Pentads=
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ptolemismic&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;0-7-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-20/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic&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;0-4-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic&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;0-8-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&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;0-5-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&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;0-9-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-20&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;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;55&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
{| class="wikitable"
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Tetrads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Tetrads&lt;/h1&gt;
|-
| | Number
| | Chord
| | Transversal
| | Type
|-
| | 1
| | 0-1-2-9-10
| | 1-5/4-14/9-9/5-9/8
| | magic
|-
| | 2
| | 0-1-5-9-10
| | 1-5/4-3/2-9/5-9/8
| | ptolemismic
|-
| | 3
| | 0-1-8-9-10
| | 1-5/4-16/11-9/5-9/8
| | magic
|-
| | 4
| | 0-1-2-9-11
| | 1-5/4-14/9-9/5-7/5
| | magic
|-
| | 5
| | 0-2-4-9-11
| | 1-14/9-6/5-9/5-7/5
| | sensamagic
|-
| | 6
| | 0-2-7-9-11
| | 1-14/9-7/6-9/5-7/5
| | sensamagic
|-
| | 7
| | 0-1-2-10-11
| | 1-5/4-14/9-9/8-7/5
| | apollo
|-
| | 8
| | 0-1-9-10-11
| | 1-5/4-9/5-9/8-7/5
| | apollo
|-
| | 9
| | 0-2-9-10-11
| | 1-14/9-9/5-9/8-7/5
| | magic
|-
| | 10
| | 0-1-2-10-12
| | 1-5/4-14/9-9/8-7/4
| | apollo
|-
| | 11
| | 0-1-5-10-12
| | 1-5/4-3/2-9/8-7/4
| | otonal
|-
| | 12
| | 0-1-8-10-12
| | 1-5/4-16/11-9/8-7/4
| | sensamagic11
|-
| | 13
| | 0-1-2-11-12
| | 1-5/4-14/9-7/5-7/4
| | marvel
|-
| | 14
| | 0-2-4-11-12
| | 1-14/9-6/5-7/5-7/4
| | sensamagic11
|-
| | 15
| | 0-2-7-11-12
| | 1-14/9-7/6-7/5-7/4
| | utonal
|-
| | 16
| | 0-1-10-11-12
| | 1-5/4-9/8-7/5-7/4
| | marvel
|-
| | 17
| | 0-2-10-11-12
| | 1-14/9-9/8-7/5-7/4
| | apollo
|-
| | 18
| | 0-1-2-9-13
| | 1-5/4-14/9-9/5-12/11
| | magic
|-
| | 19
| | 0-2-4-9-13
| | 1-14/9-6/5-9/5-12/11
| | octarod
|-
| | 20
| | 0-1-5-9-13
| | 1-5/4-3/2-9/5-12/11
| | supermagic
|-
| | 21
| | 0-4-5-9-13
| | 1-6/5-3/2-9/5-12/11
| | ptolemismic
|-
| | 22
| | 0-1-8-9-13
| | 1-5/4-16/11-9/5-12/11
| | supermagic
|-
| | 23
| | 0-4-8-9-13
| | 1-6/5-16/11-9/5-12/11
| | ptolemismic
|-
| | 24
| | 0-1-2-11-13
| | 1-5/4-14/9-7/5-12/11
| | unimarvel
|-
| | 25
| | 0-2-4-11-13
| | 1-14/9-6/5-7/5-12/11
| | octarod
|-
| | 26
| | 0-1-9-11-13
| | 1-5/4-9/5-7/5-12/11
| | magic
|-
| | 27
| | 0-2-9-11-13
| | 1-14/9-9/5-7/5-12/11
| | octarod
|-
| | 28
| | 0-4-9-11-13
| | 1-6/5-9/5-7/5-12/11
| | octarod
|-
| | 29
| | 0-1-2-12-13
| | 1-5/4-14/9-7/4-12/11
| | unimarvel
|-
| | 30
| | 0-2-4-12-13
| | 1-14/9-6/5-7/4-12/11
| | magic
|-
| | 31
| | 0-1-5-12-13
| | 1-5/4-3/2-7/4-12/11
| | keenanismic
|-
| | 32
| | 0-4-5-12-13
| | 1-6/5-3/2-7/4-12/11
| | supermagic
|-
| | 33
| | 0-1-8-12-13
| | 1-5/4-16/11-7/4-12/11
| | keenanismic
|-
| | 34
| | 0-4-8-12-13
| | 1-6/5-16/11-7/4-12/11
| | supermagic
|-
| | 35
| | 0-1-11-12-13
| | 1-5/4-7/5-7/4-12/11
| | unimarvel
|-
| | 36
| | 0-2-11-12-13
| | 1-14/9-7/5-7/4-12/11
| | unimarvel
|-
| | 37
| | 0-4-11-12-13
| | 1-6/5-7/5-7/4-12/11
| | magic
|-
| | 38
| | 0-5-7-9-18
| | 1-3/2-7/6-9/5-18/11
| | octarod
|-
| | 39
| | 0-7-8-9-18
| | 1-7/6-16/11-9/5-18/11
| | magic
|-
| | 40
| | 0-5-9-10-18
| | 1-3/2-9/5-9/8-18/11
| | utonal
|-
| | 41
| | 0-8-9-10-18
| | 1-16/11-9/5-9/8-18/11
| | apollo
|-
| | 42
| | 0-7-9-11-18
| | 1-7/6-9/5-7/5-18/11
| | octarod
|-
| | 43
| | 0-9-10-11-18
| | 1-9/5-9/8-7/5-18/11
| | magic
|-
| | 44
| | 0-5-9-13-18
| | 1-3/2-9/5-12/11-18/11
| | ptolemismic
|-
| | 45
| | 0-8-9-13-18
| | 1-16/11-20/11-12/11-18/11
| | otonal
|-
| | 46
| | 0-9-11-13-18
| | 1-9/5-7/5-12/11-18/11
| | octarod
|-
| | 47
| | 0-2-7-9-20
| | 1-14/9-7/6-9/5-14/11
| | octarod
|-
| | 48
| | 0-7-8-9-20
| | 1-7/6-16/11-9/5-14/11
| | magic
|-
| | 49
| | 0-2-9-10-20
| | 1-14/9-9/5-9/8-14/11
| | magic
|-
| | 50
| | 0-8-9-10-20
| | 1-16/11-9/5-9/8-14/11
| | apollo
|-
| | 51
| | 0-2-7-11-20
| | 1-14/9-7/6-7/5-14/11
| | utonal
|-
| | 52
| | 0-2-9-11-20
| | 1-14/9-9/5-7/5-14/11
| | octarod
|-
| | 53
| | 0-7-9-11-20
| | 1-7/6-9/5-7/5-14/11
| | octarod
|-
| | 54
| | 0-2-10-11-20
| | 1-14/9-9/8-7/5-14/11
| | apollo
|-
| | 55
| | 0-9-10-11-20
| | 1-9/5-9/8-7/5-14/11
| | apollo
|-
| | 56
| | 0-2-7-12-20
| | 1-14/9-7/6-7/4-14/11
| | utonal
|-
| | 57
| | 0-7-8-12-20
| | 1-7/6-16/11-7/4-14/11
| | keenanismic
|-
| | 58
| | 0-2-10-12-20
| | 1-14/9-9/8-7/4-14/11
| | pentacircle
|-
| | 59
| | 0-8-10-12-20
| | 1-16/11-9/8-7/4-14/11
| | sensamagic11
|-
| | 60
| | 0-2-11-12-20
| | 1-14/9-7/5-7/4-14/11
| | utonal
|-
| | 61
| | 0-7-11-12-20
| | 1-7/6-7/5-7/4-14/11
| | utonal
|-
| | 62
| | 0-10-11-12-20
| | 1-9/8-7/5-7/4-14/11
| | apollo
|-
| | 63
| | 0-2-9-13-20
| | 1-14/9-9/5-12/11-14/11
| | octarod
|-
| | 64
| | 0-8-9-13-20
| | 1-16/11-20/11-12/11-14/11
| | otonal
|-
| | 65
| | 0-2-11-13-20
| | 1-14/9-7/5-12/11-14/11
| | octarod
|-
| | 66
| | 0-9-11-13-20
| | 1-9/5-7/5-12/11-14/11
| | octarod
|-
| | 67
| | 0-2-12-13-20
| | 1-14/9-7/4-12/11-14/11
| | unimarvel
|-
| | 68
| | 0-8-12-13-20
| | 1-16/11-7/4-12/11-14/11
| | keenanismic
|-
| | 69
| | 0-11-12-13-20
| | 1-7/5-7/4-12/11-14/11
| | magic
|-
| | 70
| | 0-7-8-18-20
| | 1-7/6-16/11-18/11-14/11
| | unimarvel
|-
| | 71
| | 0-7-9-18-20
| | 1-7/6-9/5-18/11-14/11
| | octarod
|-
| | 72
| | 0-8-9-18-20
| | 1-16/11-20/11-18/11-14/11
| | otonal
|-
| | 73
| | 0-8-10-18-20
| | 1-16/11-9/8-18/11-14/11
| | pentacircle
|-
| | 74
| | 0-9-10-18-20
| | 1-9/5-9/8-18/11-14/11
| | apollo
|-
| | 75
| | 0-7-11-18-20
| | 1-7/6-7/5-18/11-14/11
| | octarod
|-
| | 76
| | 0-9-11-18-20
| | 1-9/5-7/5-18/11-14/11
| | octarod
|-
| | 77
| | 0-10-11-18-20
| | 1-9/8-7/5-18/11-14/11
| | magic
|-
| | 78
| | 0-8-13-18-20
| | 1-16/11-12/11-18/11-14/11
| | otonal
|-
| | 79
| | 0-9-13-18-20
| | 1-20/11-12/11-18/11-14/11
| | otonal
|-
| | 80
| | 0-11-13-18-20
| | 1-7/5-12/11-18/11-14/11
| | octarod
|}


&lt;table class="wiki_table"&gt;
=Hexads=
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-2-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-2-4-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-6/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-5-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ptolemismic&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;0-4-5-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-7-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-7-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-7/6-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic&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;0-1-8-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;supermagic&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;0-4-8-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-16/11-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ptolemismic&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;0-7-8-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-1-2-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-5-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-8-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic11&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;0-1-9-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ptolemismic&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;0-2-9-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic11&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;0-5-9-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-9-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&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;0-1-2-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-6/5-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic&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;0-2-7-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-9-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/5-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&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;0-2-9-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/5-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic&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;0-4-9-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-9/5-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-9-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-9/5-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic&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;0-1-10-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/8-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-10-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/8-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&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;0-9-10-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-2-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-6/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic11&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;0-1-5-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-5-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-7-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-7-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-7/6-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-8-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-8-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-16/11-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;supermagic&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;0-7-8-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/8-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/8-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&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;0-5-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/8-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-9/8-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic11&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;0-1-11-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-11-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-11-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-11-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-11-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-2-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&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;0-2-4-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-6/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-1-5-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-5-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-8-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-8-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-16/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ptolemismic&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;0-1-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;supermagic&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;0-2-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-4-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-9/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ptolemismic&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;0-5-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ptolemismic&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;0-8-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&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;0-2-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-9-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-1-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;62&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;supermagic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;63&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;64&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;66&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-7-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-7/6-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;67&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-8-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;68&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-9-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-9-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-9-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;71&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-10-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-10-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-9/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;73&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-10-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;74&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-11-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;75&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-11-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;76&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-11-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;77&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;78&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;79&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;80&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;81&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-7-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;82&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-8-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;83&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-9-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;84&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-9-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-9/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;85&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-9-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;86&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-10-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/8-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;87&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-10-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-9/8-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;88&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-10-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;89&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-11-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-11-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;91&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-11-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ptolemismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;92&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-11-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;93&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;94&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;95&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;96&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;97&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;98&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;99&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;100&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;101&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;102&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-12-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;103&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;104&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;105&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;106&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;107&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;108&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-13-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
{| class="wikitable"
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Pentads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pentads&lt;/h1&gt;
|-
| | Number
 
| | Chord
&lt;table class="wiki_table"&gt;
| | Transversal
    &lt;tr&gt;
| | Type
        &lt;td&gt;Number&lt;br /&gt;
|-
&lt;/td&gt;
| | 1
        &lt;td&gt;Chord&lt;br /&gt;
| | 0-1-2-9-10-11
&lt;/td&gt;
| | 1-5/4-14/9-9/5-9/8-7/5
        &lt;td&gt;Transversal&lt;br /&gt;
| | magic
&lt;/td&gt;
|-
        &lt;td&gt;Type&lt;br /&gt;
| | 2
&lt;/td&gt;
| | 0-1-2-10-11-12
    &lt;/tr&gt;
| | 1-5/4-14/9-9/8-7/5-7/4
    &lt;tr&gt;
| | apollo
        &lt;td&gt;1&lt;br /&gt;
|-
&lt;/td&gt;
| | 3
        &lt;td&gt;0-1-2-9-10&lt;br /&gt;
| | 0-1-2-9-11-13
&lt;/td&gt;
| | 1-5/4-14/9-9/5-7/5-12/11
        &lt;td&gt;1-5/4-14/9-9/5-9/8&lt;br /&gt;
| | magic
&lt;/td&gt;
|-
        &lt;td&gt;magic&lt;br /&gt;
| | 4
&lt;/td&gt;
| | 0-2-4-9-11-13
    &lt;/tr&gt;
| | 1-14/9-6/5-9/5-7/5-12/11
    &lt;tr&gt;
| | octarod
        &lt;td&gt;2&lt;br /&gt;
|-
&lt;/td&gt;
| | 5
        &lt;td&gt;0-1-5-9-10&lt;br /&gt;
| | 0-1-2-11-12-13
&lt;/td&gt;
| | 1-5/4-14/9-7/5-7/4-12/11
        &lt;td&gt;1-5/4-3/2-9/5-9/8&lt;br /&gt;
| | unimarvel
&lt;/td&gt;
|-
        &lt;td&gt;ptolemismic&lt;br /&gt;
| | 6
&lt;/td&gt;
| | 0-2-4-11-12-13
    &lt;/tr&gt;
| | 1-14/9-6/5-7/5-7/4-12/11
    &lt;tr&gt;
| | magic
        &lt;td&gt;3&lt;br /&gt;
|-
&lt;/td&gt;
| | 7
        &lt;td&gt;0-1-8-9-10&lt;br /&gt;
| | 0-2-7-9-11-20
&lt;/td&gt;
| | 1-14/9-7/6-9/5-7/5-14/11
        &lt;td&gt;1-5/4-16/11-9/5-9/8&lt;br /&gt;
| | octarod
&lt;/td&gt;
|-
        &lt;td&gt;magic&lt;br /&gt;
| | 8
&lt;/td&gt;
| | 0-2-9-10-11-20
    &lt;/tr&gt;
| | 1-14/9-9/5-9/8-7/5-14/11
    &lt;tr&gt;
| | magic
        &lt;td&gt;4&lt;br /&gt;
|-
&lt;/td&gt;
| | 9
        &lt;td&gt;0-1-2-9-11&lt;br /&gt;
| | 0-2-7-11-12-20
&lt;/td&gt;
| | 1-14/9-7/6-7/5-7/4-14/11
        &lt;td&gt;1-5/4-14/9-9/5-7/5&lt;br /&gt;
| | utonal
&lt;/td&gt;
|-
        &lt;td&gt;magic&lt;br /&gt;
| | 10
&lt;/td&gt;
| | 0-2-10-11-12-20
    &lt;/tr&gt;
| | 1-14/9-9/8-7/5-7/4-14/11
    &lt;tr&gt;
| | apollo
        &lt;td&gt;5&lt;br /&gt;
|-
&lt;/td&gt;
| | 11
        &lt;td&gt;0-2-4-9-11&lt;br /&gt;
| | 0-2-9-11-13-20
&lt;/td&gt;
| | 1-14/9-9/5-7/5-12/11-14/11
        &lt;td&gt;1-14/9-6/5-9/5-7/5&lt;br /&gt;
| | octarod
&lt;/td&gt;
|-
        &lt;td&gt;sensamagic&lt;br /&gt;
| | 12
&lt;/td&gt;
| | 0-2-11-12-13-20
    &lt;/tr&gt;
| | 1-14/9-7/5-7/4-12/11-14/11
    &lt;tr&gt;
| | magic
        &lt;td&gt;6&lt;br /&gt;
|-
&lt;/td&gt;
| | 13
        &lt;td&gt;0-2-7-9-11&lt;br /&gt;
| | 0-7-8-9-18-20
&lt;/td&gt;
| | 1-7/6-16/11-9/5-18/11-14/11
        &lt;td&gt;1-14/9-7/6-9/5-7/5&lt;br /&gt;
| | magic
&lt;/td&gt;
|-
        &lt;td&gt;sensamagic&lt;br /&gt;
| | 14
&lt;/td&gt;
| | 0-8-9-10-18-20
    &lt;/tr&gt;
| | 1-16/11-9/5-9/8-18/11-14/11
    &lt;tr&gt;
| | apollo
        &lt;td&gt;7&lt;br /&gt;
|-
&lt;/td&gt;
| | 15
        &lt;td&gt;0-1-2-10-11&lt;br /&gt;
| | 0-7-9-11-18-20
&lt;/td&gt;
| | 1-7/6-9/5-7/5-18/11-14/11
        &lt;td&gt;1-5/4-14/9-9/8-7/5&lt;br /&gt;
| | octarod
&lt;/td&gt;
|-
        &lt;td&gt;apollo&lt;br /&gt;
| | 16
&lt;/td&gt;
| | 0-9-10-11-18-20
    &lt;/tr&gt;
| | 1-9/5-9/8-7/5-18/11-14/11
    &lt;tr&gt;
| | magic
        &lt;td&gt;8&lt;br /&gt;
|-
&lt;/td&gt;
| | 17
        &lt;td&gt;0-1-9-10-11&lt;br /&gt;
| | 0-8-9-13-18-20
&lt;/td&gt;
| | 1-16/11-20/11-12/11-18/11-14/11
        &lt;td&gt;1-5/4-9/5-9/8-7/5&lt;br /&gt;
| | otonal
&lt;/td&gt;
|-
        &lt;td&gt;apollo&lt;br /&gt;
| | 18
&lt;/td&gt;
| | 0-9-11-13-18-20
    &lt;/tr&gt;
| | 1-9/5-7/5-12/11-18/11-14/11
    &lt;tr&gt;
| | octarod
        &lt;td&gt;9&lt;br /&gt;
|}
&lt;/td&gt;
        &lt;td&gt;0-2-9-10-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/5-9/8-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-1-2-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-9/8-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-5-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-9/8-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-8-10-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11-9/8-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic11&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;0-1-2-11-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-4-11-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-6/5-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic11&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;0-2-7-11-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-10-11-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/8-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-10-11-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/8-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&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;0-1-2-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-9/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-2-4-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-6/5-9/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-1-5-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-9/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;supermagic&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;0-4-5-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2-9/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ptolemismic&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;0-1-8-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11-9/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;supermagic&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;0-4-8-9-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-16/11-9/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ptolemismic&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;0-1-2-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&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;0-2-4-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-6/5-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-1-9-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/5-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-2-9-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/5-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-4-9-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-9/5-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-1-2-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&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;0-2-4-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-6/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-5-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-5-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;supermagic&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;0-1-8-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-16/11-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-4-8-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-16/11-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;supermagic&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;0-1-11-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&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;0-2-11-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&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;0-4-11-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-7/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-5-7-9-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-7/6-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-7-8-9-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-9/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-9-10-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5-9/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-9-10-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-9/5-9/8-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&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;0-7-9-11-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-9/5-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-9-10-11-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8-7/5-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-5-9-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ptolemismic&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;0-8-9-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-11-13-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-7/5-12/11-18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-2-7-9-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-9/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-7-8-9-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-9/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-2-9-10-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/5-9/8-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-8-9-10-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-9/5-9/8-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&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;0-2-7-11-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-9-11-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/5-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-7-9-11-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-9/5-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-2-10-11-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/8-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&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;0-9-10-11-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&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;0-2-7-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-8-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-10-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/8-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&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;0-8-10-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-9/8-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sensamagic11&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;0-2-11-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-11-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;62&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-11-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-7/5-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;63&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-9-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/5-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;64&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-9-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-11-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;66&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-11-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-7/5-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;67&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-12-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/4-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;68&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-12-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-7/4-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-12-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-7/4-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-8-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;71&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-9-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-9/5-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-9-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;73&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-10-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-9/8-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;pentacircle&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;74&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-10-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;75&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-11-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-7/5-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;76&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-11-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-7/5-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;77&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-10-11-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-7/5-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;78&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-13-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-12/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;79&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-13-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20/11-12/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;80&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-13-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Hexads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Hexads&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-2-9-10-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-9/5-9/8-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-1-2-10-11-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-9/8-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-1-2-9-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-9/5-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-2-4-9-11-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-6/5-9/5-7/5-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-1-2-11-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-14/9-7/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&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;0-2-4-11-12-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-6/5-7/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-2-7-9-11-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-9/5-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-2-9-10-11-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/5-9/8-7/5-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-2-7-11-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/6-7/5-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-10-11-12-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/8-7/5-7/4-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&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;0-2-9-11-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-9/5-7/5-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-2-11-12-13-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14/9-7/5-7/4-12/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-8-9-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-16/11-9/5-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-8-9-10-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-9/5-9/8-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;apollo&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;0-7-9-11-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/6-9/5-7/5-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&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;0-9-10-11-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8-7/5-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;magic&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;0-8-9-13-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16/11-20/11-12/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-9-11-13-18-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-7/5-12/11-18/11-14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;octarod&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

Below are listed the dyadic chords of 11-limit magic temperament. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.

Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.

Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.

Triads

Number Chord Transversal Type
1 0-1-2 1-5/4-14/9 marvel
2 0-2-4 1-14/9-6/5 sensamagic
3 0-1-5 1-5/4-3/2 otonal
4 0-4-5 1-6/5-3/2 utonal
5 0-2-7 1-14/9-7/6 utonal
6 0-5-7 1-3/2-7/6 otonal
7 0-1-8 1-5/4-16/11 keenanismic
8 0-4-8 1-6/5-16/11 ptolemismic
9 0-7-8 1-7/6-16/11 keenanismic
10 0-1-9 1-5/4-20/11 utonal
11 0-2-9 1-14/9-9/5 sensamagic
12 0-4-9 1-6/5-9/5 otonal
13 0-5-9 1-3/2-9/5 utonal
14 0-7-9 1-7/6-9/5 sensamagic
15 0-8-9 1-16/11-20/11 otonal
16 0-1-10 1-5/4-9/8 otonal
17 0-2-10 1-14/9-9/8 pentacircle
18 0-5-10 1-3/2-9/8 ambitonal
19 0-8-10 1-16/11-9/8 pentacircle
20 0-9-10 1-9/5-9/8 utonal
21 0-1-11 1-5/4-7/5 marvel
22 0-2-11 1-14/9-7/5 utonal
23 0-4-11 1-6/5-7/5 otonal
24 0-7-11 1-7/6-7/5 utonal
25 0-9-11 1-9/5-7/5 otonal
26 0-10-11 1-9/8-7/5 marvel
27 0-1-12 1-5/4-7/4 otonal
28 0-2-12 1-14/9-7/4 utonal
29 0-4-12 1-6/5-7/4 keenanismic
30 0-5-12 1-3/2-7/4 otonal
31 0-7-12 1-7/6-7/4 utonal
32 0-8-12 1-16/11-7/4 keenanismic
33 0-10-12 1-9/8-7/4 otonal
34 0-11-12 1-7/5-7/4 utonal
35 0-1-13 1-5/4-12/11 keenanismic
36 0-2-13 1-14/9-12/11 swetismic
37 0-4-13 1-6/5-12/11 utonal
38 0-5-13 1-3/2-12/11 utonal
39 0-8-13 1-16/11-12/11 otonal
40 0-9-13 1-20/11-12/11 otonal
41 0-11-13 1-7/5-12/11 swetismic
42 0-12-13 1-7/4-12/11 keenanismic
43 0-5-18 1-3/2-18/11 utonal
44 0-7-18 1-7/6-18/11 swetismic
45 0-8-18 1-16/11-18/11 otonal
46 0-9-18 1-9/5-18/11 utonal
47 0-10-18 1-9/8-18/11 utonal
48 0-11-18 1-7/5-18/11 swetismic
49 0-13-18 1-12/11-18/11 otonal
50 0-2-20 1-14/9-14/11 utonal
51 0-7-20 1-7/6-14/11 utonal
52 0-8-20 1-16/11-14/11 otonal
53 0-9-20 1-20/11-14/11 otonal
54 0-10-20 1-9/8-14/11 pentacircle
55 0-11-20 1-7/5-14/11 utonal
56 0-12-20 1-7/4-14/11 utonal
57 0-13-20 1-12/11-14/11 otonal
58 0-18-20 1-18/11-14/11 otonal

Tetrads

Number Chord Transversal Type
1 0-1-2-9 1-5/4-14/9-9/5 magic
2 0-2-4-9 1-14/9-6/5-9/5 sensamagic
3 0-1-5-9 1-5/4-3/2-9/5 ptolemismic
4 0-4-5-9 1-6/5-3/2-9/5 ambitonal
5 0-2-7-9 1-14/9-7/6-9/5 sensamagic
6 0-5-7-9 1-3/2-7/6-9/5 sensamagic
7 0-1-8-9 1-5/4-16/11-9/5 supermagic
8 0-4-8-9 1-6/5-16/11-9/5 ptolemismic
9 0-7-8-9 1-7/6-16/11-9/5 magic
10 0-1-2-10 1-5/4-14/9-9/8 apollo
11 0-1-5-10 1-5/4-3/2-9/8 otonal
12 0-1-8-10 1-5/4-16/11-9/8 sensamagic11
13 0-1-9-10 1-5/4-9/5-9/8 ptolemismic
14 0-2-9-10 1-14/9-9/5-9/8 sensamagic11
15 0-5-9-10 1-3/2-9/5-9/8 utonal
16 0-8-9-10 1-16/11-9/5-9/8 apollo
17 0-1-2-11 1-5/4-14/9-7/5 marvel
18 0-2-4-11 1-14/9-6/5-7/5 sensamagic
19 0-2-7-11 1-14/9-7/6-7/5 utonal
20 0-1-9-11 1-5/4-9/5-7/5 apollo
21 0-2-9-11 1-14/9-9/5-7/5 sensamagic
22 0-4-9-11 1-6/5-9/5-7/5 otonal
23 0-7-9-11 1-7/6-9/5-7/5 sensamagic
24 0-1-10-11 1-5/4-9/8-7/5 marvel
25 0-2-10-11 1-14/9-9/8-7/5 apollo
26 0-9-10-11 1-9/5-9/8-7/5 marvel
27 0-1-2-12 1-5/4-14/9-7/4 marvel
28 0-2-4-12 1-14/9-6/5-7/4 sensamagic11
29 0-1-5-12 1-5/4-3/2-7/4 otonal
30 0-4-5-12 1-6/5-3/2-7/4 keenanismic
31 0-2-7-12 1-14/9-7/6-7/4 utonal
32 0-5-7-12 1-3/2-7/6-7/4 ambitonal
33 0-1-8-12 1-5/4-16/11-7/4 keenanismic
34 0-4-8-12 1-6/5-16/11-7/4 supermagic
35 0-7-8-12 1-7/6-16/11-7/4 keenanismic
36 0-1-10-12 1-5/4-9/8-7/4 otonal
37 0-2-10-12 1-14/9-9/8-7/4 pentacircle
38 0-5-10-12 1-3/2-9/8-7/4 otonal
39 0-8-10-12 1-16/11-9/8-7/4 sensamagic11
40 0-1-11-12 1-5/4-7/5-7/4 marvel
41 0-2-11-12 1-14/9-7/5-7/4 utonal
42 0-4-11-12 1-6/5-7/5-7/4 keenanismic
43 0-7-11-12 1-7/6-7/5-7/4 utonal
44 0-10-11-12 1-9/8-7/5-7/4 marvel
45 0-1-2-13 1-5/4-14/9-12/11 unimarvel
46 0-2-4-13 1-14/9-6/5-12/11 octarod
47 0-1-5-13 1-5/4-3/2-12/11 keenanismic
48 0-4-5-13 1-6/5-3/2-12/11 utonal
49 0-1-8-13 1-5/4-16/11-12/11 keenanismic
50 0-4-8-13 1-6/5-16/11-12/11 ptolemismic
51 0-1-9-13 1-5/4-9/5-12/11 supermagic
52 0-2-9-13 1-14/9-9/5-12/11 octarod
53 0-4-9-13 1-6/5-9/5-12/11 ptolemismic
54 0-5-9-13 1-3/2-9/5-12/11 ptolemismic
55 0-8-9-13 1-16/11-20/11-12/11 otonal
56 0-1-11-13 1-5/4-7/5-12/11 unimarvel
57 0-2-11-13 1-14/9-7/5-12/11 swetismic
58 0-4-11-13 1-6/5-7/5-12/11 octarod
59 0-9-11-13 1-9/5-7/5-12/11 octarod
60 0-1-12-13 1-5/4-7/4-12/11 keenanismic
61 0-2-12-13 1-14/9-7/4-12/11 unimarvel
62 0-4-12-13 1-6/5-7/4-12/11 supermagic
63 0-5-12-13 1-3/2-7/4-12/11 keenanismic
64 0-8-12-13 1-16/11-7/4-12/11 keenanismic
65 0-11-12-13 1-7/5-7/4-12/11 unimarvel
66 0-5-7-18 1-3/2-7/6-18/11 swetismic
67 0-7-8-18 1-7/6-16/11-18/11 unimarvel
68 0-5-9-18 1-3/2-9/5-18/11 utonal
69 0-7-9-18 1-7/6-9/5-18/11 octarod
70 0-8-9-18 1-16/11-20/11-18/11 otonal
71 0-5-10-18 1-3/2-9/8-18/11 utonal
72 0-8-10-18 1-16/11-9/8-18/11 pentacircle
73 0-9-10-18 1-9/5-9/8-18/11 utonal
74 0-7-11-18 1-7/6-7/5-18/11 swetismic
75 0-9-11-18 1-9/5-7/5-18/11 octarod
76 0-10-11-18 1-9/8-7/5-18/11 unimarvel
77 0-5-13-18 1-3/2-12/11-18/11 ambitonal
78 0-8-13-18 1-16/11-12/11-18/11 otonal
79 0-9-13-18 1-20/11-12/11-18/11 otonal
80 0-11-13-18 1-7/5-12/11-18/11 swetismic
81 0-2-7-20 1-14/9-7/6-14/11 utonal
82 0-7-8-20 1-7/6-16/11-14/11 keenanismic
83 0-2-9-20 1-14/9-9/5-14/11 octarod
84 0-7-9-20 1-7/6-9/5-14/11 octarod
85 0-8-9-20 1-16/11-20/11-14/11 otonal
86 0-2-10-20 1-14/9-9/8-14/11 pentacircle
87 0-8-10-20 1-16/11-9/8-14/11 pentacircle
88 0-9-10-20 1-9/5-9/8-14/11 apollo
89 0-2-11-20 1-14/9-7/5-14/11 utonal
90 0-7-11-20 1-7/6-7/5-14/11 utonal
91 0-9-11-20 1-9/5-7/5-14/11 ptolemismic
92 0-10-11-20 1-9/8-7/5-14/11 apollo
93 0-2-12-20 1-14/9-7/4-14/11 utonal
94 0-7-12-20 1-7/6-7/4-14/11 utonal
95 0-8-12-20 1-16/11-7/4-14/11 keenanismic
96 0-10-12-20 1-9/8-7/4-14/11 pentacircle
97 0-11-12-20 1-7/5-7/4-14/11 utonal
98 0-2-13-20 1-14/9-12/11-14/11 swetismic
99 0-8-13-20 1-16/11-12/11-14/11 otonal
100 0-9-13-20 1-20/11-12/11-14/11 otonal
101 0-11-13-20 1-7/5-12/11-14/11 octarod
102 0-12-13-20 1-7/4-12/11-14/11 keenanismic
103 0-7-18-20 1-7/6-18/11-14/11 swetismic
104 0-8-18-20 1-16/11-18/11-14/11 otonal
105 0-9-18-20 1-20/11-18/11-14/11 otonal
106 0-10-18-20 1-9/8-18/11-14/11 pentacircle
107 0-11-18-20 1-7/5-18/11-14/11 octarod
108 0-13-18-20 1-12/11-18/11-14/11 otonal

Pentads

Number Chord Transversal Type
1 0-1-2-9-10 1-5/4-14/9-9/5-9/8 magic
2 0-1-5-9-10 1-5/4-3/2-9/5-9/8 ptolemismic
3 0-1-8-9-10 1-5/4-16/11-9/5-9/8 magic
4 0-1-2-9-11 1-5/4-14/9-9/5-7/5 magic
5 0-2-4-9-11 1-14/9-6/5-9/5-7/5 sensamagic
6 0-2-7-9-11 1-14/9-7/6-9/5-7/5 sensamagic
7 0-1-2-10-11 1-5/4-14/9-9/8-7/5 apollo
8 0-1-9-10-11 1-5/4-9/5-9/8-7/5 apollo
9 0-2-9-10-11 1-14/9-9/5-9/8-7/5 magic
10 0-1-2-10-12 1-5/4-14/9-9/8-7/4 apollo
11 0-1-5-10-12 1-5/4-3/2-9/8-7/4 otonal
12 0-1-8-10-12 1-5/4-16/11-9/8-7/4 sensamagic11
13 0-1-2-11-12 1-5/4-14/9-7/5-7/4 marvel
14 0-2-4-11-12 1-14/9-6/5-7/5-7/4 sensamagic11
15 0-2-7-11-12 1-14/9-7/6-7/5-7/4 utonal
16 0-1-10-11-12 1-5/4-9/8-7/5-7/4 marvel
17 0-2-10-11-12 1-14/9-9/8-7/5-7/4 apollo
18 0-1-2-9-13 1-5/4-14/9-9/5-12/11 magic
19 0-2-4-9-13 1-14/9-6/5-9/5-12/11 octarod
20 0-1-5-9-13 1-5/4-3/2-9/5-12/11 supermagic
21 0-4-5-9-13 1-6/5-3/2-9/5-12/11 ptolemismic
22 0-1-8-9-13 1-5/4-16/11-9/5-12/11 supermagic
23 0-4-8-9-13 1-6/5-16/11-9/5-12/11 ptolemismic
24 0-1-2-11-13 1-5/4-14/9-7/5-12/11 unimarvel
25 0-2-4-11-13 1-14/9-6/5-7/5-12/11 octarod
26 0-1-9-11-13 1-5/4-9/5-7/5-12/11 magic
27 0-2-9-11-13 1-14/9-9/5-7/5-12/11 octarod
28 0-4-9-11-13 1-6/5-9/5-7/5-12/11 octarod
29 0-1-2-12-13 1-5/4-14/9-7/4-12/11 unimarvel
30 0-2-4-12-13 1-14/9-6/5-7/4-12/11 magic
31 0-1-5-12-13 1-5/4-3/2-7/4-12/11 keenanismic
32 0-4-5-12-13 1-6/5-3/2-7/4-12/11 supermagic
33 0-1-8-12-13 1-5/4-16/11-7/4-12/11 keenanismic
34 0-4-8-12-13 1-6/5-16/11-7/4-12/11 supermagic
35 0-1-11-12-13 1-5/4-7/5-7/4-12/11 unimarvel
36 0-2-11-12-13 1-14/9-7/5-7/4-12/11 unimarvel
37 0-4-11-12-13 1-6/5-7/5-7/4-12/11 magic
38 0-5-7-9-18 1-3/2-7/6-9/5-18/11 octarod
39 0-7-8-9-18 1-7/6-16/11-9/5-18/11 magic
40 0-5-9-10-18 1-3/2-9/5-9/8-18/11 utonal
41 0-8-9-10-18 1-16/11-9/5-9/8-18/11 apollo
42 0-7-9-11-18 1-7/6-9/5-7/5-18/11 octarod
43 0-9-10-11-18 1-9/5-9/8-7/5-18/11 magic
44 0-5-9-13-18 1-3/2-9/5-12/11-18/11 ptolemismic
45 0-8-9-13-18 1-16/11-20/11-12/11-18/11 otonal
46 0-9-11-13-18 1-9/5-7/5-12/11-18/11 octarod
47 0-2-7-9-20 1-14/9-7/6-9/5-14/11 octarod
48 0-7-8-9-20 1-7/6-16/11-9/5-14/11 magic
49 0-2-9-10-20 1-14/9-9/5-9/8-14/11 magic
50 0-8-9-10-20 1-16/11-9/5-9/8-14/11 apollo
51 0-2-7-11-20 1-14/9-7/6-7/5-14/11 utonal
52 0-2-9-11-20 1-14/9-9/5-7/5-14/11 octarod
53 0-7-9-11-20 1-7/6-9/5-7/5-14/11 octarod
54 0-2-10-11-20 1-14/9-9/8-7/5-14/11 apollo
55 0-9-10-11-20 1-9/5-9/8-7/5-14/11 apollo
56 0-2-7-12-20 1-14/9-7/6-7/4-14/11 utonal
57 0-7-8-12-20 1-7/6-16/11-7/4-14/11 keenanismic
58 0-2-10-12-20 1-14/9-9/8-7/4-14/11 pentacircle
59 0-8-10-12-20 1-16/11-9/8-7/4-14/11 sensamagic11
60 0-2-11-12-20 1-14/9-7/5-7/4-14/11 utonal
61 0-7-11-12-20 1-7/6-7/5-7/4-14/11 utonal
62 0-10-11-12-20 1-9/8-7/5-7/4-14/11 apollo
63 0-2-9-13-20 1-14/9-9/5-12/11-14/11 octarod
64 0-8-9-13-20 1-16/11-20/11-12/11-14/11 otonal
65 0-2-11-13-20 1-14/9-7/5-12/11-14/11 octarod
66 0-9-11-13-20 1-9/5-7/5-12/11-14/11 octarod
67 0-2-12-13-20 1-14/9-7/4-12/11-14/11 unimarvel
68 0-8-12-13-20 1-16/11-7/4-12/11-14/11 keenanismic
69 0-11-12-13-20 1-7/5-7/4-12/11-14/11 magic
70 0-7-8-18-20 1-7/6-16/11-18/11-14/11 unimarvel
71 0-7-9-18-20 1-7/6-9/5-18/11-14/11 octarod
72 0-8-9-18-20 1-16/11-20/11-18/11-14/11 otonal
73 0-8-10-18-20 1-16/11-9/8-18/11-14/11 pentacircle
74 0-9-10-18-20 1-9/5-9/8-18/11-14/11 apollo
75 0-7-11-18-20 1-7/6-7/5-18/11-14/11 octarod
76 0-9-11-18-20 1-9/5-7/5-18/11-14/11 octarod
77 0-10-11-18-20 1-9/8-7/5-18/11-14/11 magic
78 0-8-13-18-20 1-16/11-12/11-18/11-14/11 otonal
79 0-9-13-18-20 1-20/11-12/11-18/11-14/11 otonal
80 0-11-13-18-20 1-7/5-12/11-18/11-14/11 octarod

Hexads

Number Chord Transversal Type
1 0-1-2-9-10-11 1-5/4-14/9-9/5-9/8-7/5 magic
2 0-1-2-10-11-12 1-5/4-14/9-9/8-7/5-7/4 apollo
3 0-1-2-9-11-13 1-5/4-14/9-9/5-7/5-12/11 magic
4 0-2-4-9-11-13 1-14/9-6/5-9/5-7/5-12/11 octarod
5 0-1-2-11-12-13 1-5/4-14/9-7/5-7/4-12/11 unimarvel
6 0-2-4-11-12-13 1-14/9-6/5-7/5-7/4-12/11 magic
7 0-2-7-9-11-20 1-14/9-7/6-9/5-7/5-14/11 octarod
8 0-2-9-10-11-20 1-14/9-9/5-9/8-7/5-14/11 magic
9 0-2-7-11-12-20 1-14/9-7/6-7/5-7/4-14/11 utonal
10 0-2-10-11-12-20 1-14/9-9/8-7/5-7/4-14/11 apollo
11 0-2-9-11-13-20 1-14/9-9/5-7/5-12/11-14/11 octarod
12 0-2-11-12-13-20 1-14/9-7/5-7/4-12/11-14/11 magic
13 0-7-8-9-18-20 1-7/6-16/11-9/5-18/11-14/11 magic
14 0-8-9-10-18-20 1-16/11-9/5-9/8-18/11-14/11 apollo
15 0-7-9-11-18-20 1-7/6-9/5-7/5-18/11-14/11 octarod
16 0-9-10-11-18-20 1-9/5-9/8-7/5-18/11-14/11 magic
17 0-8-9-13-18-20 1-16/11-20/11-12/11-18/11-14/11 otonal
18 0-9-11-13-18-20 1-9/5-7/5-12/11-18/11-14/11 octarod