Miracle/Chords: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Below are listed the [[dyadic chord]]s of [[11-limit]] [[miracle|miracle temperament]]. They are listed in order of increasing [[Graham complexity]], with [[hash complexity]] used to break ties.  
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-19 15:28:54 UTC</tt>.<br>
: The original revision id was <tt>287471168</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">


=Triads=
For any linear temperament, if we choose a generator, we may put any octave-equivalent chord of the temperament in a canonical form by representing it as a set of nonnegative integers, starting with 0, which are the number of generator steps giving an octave-equivalent note class in the chord. If ''S'' is such a set, the sum Σ 2<sup>''s''</sup> for all ''s'' ∊ ''S'' provides a unique odd number encoding the chord, and the logarithm base two of this number is the hash complexity, listed under the heading "hash" below. The floor of hash complexity, that is, the greatest integer less than the hash complexity, is equal to the Graham complexity.  
|| Number || Chord || Transversal || Type || Hash Complexity ||
|| 1 || 0-2-5 || 1-8/7-7/5 || werckismic || 5.209453 ||
|| 2 || 0-3-5 || 1-11/9-7/5 || werckismic || 5.357552 ||
|| 3 || 0-3-6 || 1-11/9-3/2 || rastmic || 6.189825 ||
|| 4 || 0-2-7 || 1-8/7-8/5 || utonal || 7.055282 ||
|| 5 || 0-5-7 || 1-7/5-8/5 || otonal || 7.330917 ||
|| 6 || 0-2-8 || 1-8/7-12/7 || otonal || 8.027906 ||
|| 7 || 0-3-8 || 1-11/9-12/7 || swetismic || 8.049849 ||
|| 8 || 0-5-8 || 1-7/5-12/7 || swetismic || 8.174926 ||
|| 9 || 0-6-8 || 1-3/2-12/7 || utonal || 8.326429 ||
|| 10 || 0-2-9 || 1-8/7-11/6 || keenanismic || 9.014020 ||
|| 11 || 0-3-9 || 1-11/9-11/6 || utonal || 9.025140 ||
|| 12 || 0-6-9 || 1-3/2-11/6 || otonal || 9.172428 ||
|| 13 || 0-7-9 || 1-8/5-11/6 || keenanismic || 9.324181 ||
|| 14 || 0-3-12 || 1-11/9-9/8 || rastmic || 12.003167 ||
|| 15 || 0-5-12 || 1-7/5-9/8 || marvel || 12.011577 ||
|| 16 || 0-6-12 || 1-3/2-9/8 || ambitonal || 12.022715 ||
|| 17 || 0-7-12 || 1-8/5-9/8 || marvel || 12.044736 ||
|| 18 || 0-9-12 || 1-11/6-9/8 || rastmic || 12.170238 ||
|| 19 || 0-5-13 || 1-7/5-6/5 || otonal || 13.005800 ||
|| 20 || 0-6-13 || 1-3/2-6/5 || utonal || 13.011402 ||
|| 21 || 0-7-13 || 1-8/5-6/5 || otonal || 13.022541 ||
|| 22 || 0-8-13 || 1-12/7-6/5 || utonal || 13.044565 ||
|| 23 || 0-2-14 || 1-8/7-9/7 || otonal || 14.000440 ||
|| 24 || 0-5-14 || 1-7/5-9/7 || swetismic || 14.002903 ||
|| 25 || 0-6-14 || 1-3/2-9/7 || utonal || 14.005712 ||
|| 26 || 0-7-14 || 1-8/5-9/7 || marvel || 14.011315 ||
|| 27 || 0-8-14 || 1-12/7-9/7 || otonal || 14.022455 ||
|| 28 || 0-9-14 || 1-11/6-9/7 || swetismic || 14.04448 ||
|| 29 || 0-12-14 || 1-9/8-9/7 || utonal || 14.321999 ||
|| 30 || 0-2-15 || 1-8/7-11/8 || keenanismic || 15.000220 ||
|| 31 || 0-3-15 || 1-11/9-11/8 || utonal || 15.000396 ||
|| 32 || 0-6-15 || 1-3/2-11/8 || otonal || 15.002859 ||
|| 33 || 0-7-15 || 1-8/5-11/8 || keenanismic || 15.005660 ||
|| 34 || 0-8-15 || 1-12/7-11/8 || keenanismic || 15.011271 ||
|| 35 || 0-9-15 || 1-11/6-11/8 || utonal || 15.022411 ||
|| 36 || 0-12-15 || 1-9/8-11/8 || otonal || 15.169964 ||
|| 37 || 0-13-15 || 1-6/5-11/8 || keenanismic || 15.321963 ||
|| 38 || 0-2-17 || 1-8/7-11/7 || otonal || 17.000055 ||
|| 39 || 0-3-17 || 1-11/9-11/7 || utonal || 17.000099 ||
|| 40 || 0-5-17 || 1-7/5-11/7 || werckismic || 17.000363 ||
|| 41 || 0-8-17 || 1-12/7-11/7 || otonal || 17.002826 ||
|| 42 || 0-9-17 || 1-11/6-11/7 || utonal || 17.005636 ||
|| 43 || 0-12-17 || 1-9/8-11/7 || werckismic || 17.0444 ||
|| 44 || 0-14-17 || 1-9/7-11/7 || otonal || 17.169935 ||
|| 45 || 0-15-17 || 1-11/8-11/7 || utonal || 17.321937 ||
|| 46 || 0-2-19 || 1-8/7-9/5 || werckismic || 19.000014 ||
|| 47 || 0-5-19 || 1-7/5-9/5 || otonal || 19.000091 ||
|| 48 || 0-6-19 || 1-3/2-9/5 || utonal || 19.000179 ||
|| 49 || 0-7-19 || 1-8/5-9/5 || otonal || 19.000355 ||
|| 50 || 0-12-19 || 1-9/8-9/5 || utonal || 19.011230 ||
|| 51 || 0-13-19 || 1-6/5-9/5 || otonal || 19.022371 ||
|| 52 || 0-14-19 || 1-9/7-9/5 || utonal || 19.044397 ||
|| 53 || 0-17-19 || 1-11/7-9/5 || werckismic || 19.321930 ||
|| 54 || 0-3-22 || 1-11/9-11/10 || utonal || 22.000003 ||
|| 55 || 0-5-22 || 1-7/5-11/10 || otonal || 22.000011 ||
|| 56 || 0-7-22 || 1-8/5-11/10 || otonal || 22.000044 ||
|| 57 || 0-8-22 || 1-12/7-11/10 || swetismic || 22.000088 ||
|| 58 || 0-9-22 || 1-11/6-11/10 || utonal || 22.000176 ||
|| 59 || 0-13-22 || 1-6/5-11/10 || otonal || 22.002815 ||
|| 60 || 0-14-22 || 1-9/7-11/10 || swetismic || 22.005625 ||
|| 61 || 0-15-22 || 1-11/8-11/10 || utonal || 22.011228 ||
|| 62 || 0-17-22 || 1-11/7-11/10 || utonal || 22.044394 ||
|| 63 || 0-19-22 || 1-9/5-11/10 || otonal || 22.169925 ||


=Tetrads=
The heading "transversal" shows a JI chord whose intervals temper to the marvel chord. Under "type" it says otonal if it is an essentially just chord best understood in terms of the harmonic series (the overtones) and utonal if it is the inversion of an otonal chord (in other words, fitting the subharmonic series), and ambitonal if it can equally well be seen as otonal or utonal.  
|| Number || Chord || Transversal || Type || Hash Complexity ||
|| 1 || 0-2-5-7 || 1-8/7-7/5-8/5 || werckismic || 7.366322 ||
|| 2 || 0-2-5-8 || 1-8/7-7/5-12/7 || jove || 8.194757 ||
|| 3 || 0-3-5-8 || 1-11/9-7/5-12/7 || jove || 8.214319 ||
|| 4 || 0-3-6-8 || 1-11/9-3/2-12/7 || jove || 8.361944 ||
|| 5 || 0-3-6-9 || 1-11/9-3/2-11/6 || rastmic || 9.192293 ||
|| 6 || 0-2-7-9 || 1-8/7-8/5-11/6 || keenanismic || 9.333155 ||
|| 7 || 0-3-5-12 || 1-11/9-7/5-9/8 || marvel || 12.014369 ||
|| 8 || 0-3-6-12 || 1-11/9-3/2-9/8 || rastmic || 12.025486 ||
|| 9 || 0-5-7-12 || 1-7/5-8/5-9/8 || marvel || 12.055621 ||
|| 10 || 0-3-9-12 || 1-11/9-11/6-9/8 || rastmic || 12.172740 ||
|| 11 || 0-6-9-12 || 1-3/2-11/6-9/8 || rastmic || 12.190133 ||
|| 12 || 0-7-9-12 || 1-8/5-11/6-9/8 || marvel || 12.209758 ||
|| 13 || 0-5-7-13 || 1-7/5-8/5-6/5 || otonal || 13.028079 ||
|| 14 || 0-5-8-13 || 1-7/5-12/7-6/5 || swetismic || 13.050019 ||
|| 15 || 0-6-8-13 || 1-3/2-12/7-6/5 || utonal || 13.055452 ||
|| 16 || 0-2-5-14 || 1-8/7-7/5-9/7 || jove || 14.003254 ||
|| 17 || 0-2-7-14 || 1-8/7-8/5-9/7 || marvel || 14.011664 ||
|| 18 || 0-5-7-14 || 1-7/5-8/5-9/7 || unimarvel || 14.014108 ||
|| 19 || 0-2-8-14 || 1-8/7-12/7-9/7 || otonal || 14.022801 ||
|| 20 || 0-5-8-14 || 1-7/5-12/7-9/7 || swetismic || 14.025226 ||
|| 21 || 0-6-8-14 || 1-3/2-12/7-9/7 || ambitonal || 14.027992 ||
|| 22 || 0-2-9-14 || 1-8/7-11/6-9/7 || unimarvel || 14.044821 ||
|| 23 || 0-6-9-14 || 1-3/2-11/6-9/7 || swetismic || 14.049934 ||
|| 24 || 0-7-9-14 || 1-8/5-11/6-9/7 || unimarvel || 14.055367 ||
|| 25 || 0-5-12-14 || 1-7/5-9/8-9/7 || unimarvel || 14.324251 ||
|| 26 || 0-6-12-14 || 1-3/2-9/8-9/7 || utonal || 14.326500 ||
|| 27 || 0-7-12-14 || 1-8/5-9/8-9/7 || marvel || 14.330987 ||
|| 28 || 0-9-12-14 || 1-11/6-9/8-9/7 || jove || 14.357621 ||
|| 29 || 0-3-6-15 || 1-11/9-3/2-11/8 || rastmic || 15.003210 ||
|| 30 || 0-2-7-15 || 1-8/7-8/5-11/8 || keenanismic || 15.005844 ||
|| 31 || 0-2-8-15 || 1-8/7-12/7-11/8 || keenanismic || 15.011446 ||
|| 32 || 0-3-8-15 || 1-11/9-12/7-11/8 || unimarvel || 15.011620 ||
|| 33 || 0-6-8-15 || 1-3/2-12/7-11/8 || keenanismic || 15.014064 ||
|| 34 || 0-2-9-15 || 1-8/7-11/6-11/8 || keenanismic || 15.022585 ||
|| 35 || 0-3-9-15 || 1-11/9-11/6-11/8 || utonal || 15.022758 ||
|| 36 || 0-6-9-15 || 1-3/2-11/6-11/8 || ambitonal || 15.025183 ||
|| 37 || 0-7-9-15 || 1-8/5-11/6-11/8 || keenanismic || 15.027949 ||
|| 38 || 0-3-12-15 || 1-11/9-9/8-11/8 || rastmic || 15.170277 ||
|| 39 || 0-6-12-15 || 1-3/2-9/8-11/8 || otonal || 15.172467 ||
|| 40 || 0-7-12-15 || 1-8/5-9/8-11/8 || unimarvel || 15.174965 ||
|| 41 || 0-9-12-15 || 1-11/6-9/8-11/8 || rastmic || 15.189863 ||
|| 42 || 0-6-13-15 || 1-3/2-6/5-11/8 || keenanismic || 15.324216 ||
|| 43 || 0-7-13-15 || 1-8/5-6/5-11/8 || keenanismic || 15.326465 ||
|| 44 || 0-8-13-15 || 1-12/7-6/5-11/8 || keenanismic || 15.330952 ||
|| 45 || 0-2-5-17 || 1-8/7-7/5-11/7 || werckismic || 17.000407 ||
|| 46 || 0-3-5-17 || 1-11/9-7/5-11/7 || werckismic || 17.000451 ||
|| 47 || 0-2-8-17 || 1-8/7-12/7-11/7 || otonal || 17.002870 ||
|| 48 || 0-3-8-17 || 1-11/9-12/7-11/7 || swetismic || 17.002914 ||
|| 49 || 0-5-8-17 || 1-7/5-12/7-11/7 || jove || 17.003177 ||
|| 50 || 0-2-9-17 || 1-8/7-11/6-11/7 || keenanismic || 17.005679 ||
|| 51 || 0-3-9-17 || 1-11/9-11/6-11/7 || utonal || 17.005723 ||
|| 52 || 0-3-12-17 || 1-11/9-9/8-11/7 || jove || 17.044490 ||
|| 53 || 0-5-12-17 || 1-7/5-9/8-11/7 || prodigy || 17.044746 ||
|| 54 || 0-9-12-17 || 1-11/6-9/8-11/7 || jove || 17.049859 ||
|| 55 || 0-2-14-17 || 1-8/7-9/7-11/7 || otonal || 17.169974 ||
|| 56 || 0-5-14-17 || 1-7/5-9/7-11/7 || jove || 17.170248 ||
|| 57 || 0-8-14-17 || 1-12/7-9/7-11/7 || otonal || 17.172437 ||
|| 58 || 0-9-14-17 || 1-11/6-9/7-11/7 || swetismic || 17.174935 ||
|| 59 || 0-12-14-17 || 1-9/8-9/7-11/7 || werckismic || 17.209463 ||
|| 60 || 0-2-15-17 || 1-8/7-11/8-11/7 || keenanismic || 17.321972 ||
|| 61 || 0-3-15-17 || 1-11/9-11/8-11/7 || utonal || 17.322007 ||
|| 62 || 0-8-15-17 || 1-12/7-11/8-11/7 || keenanismic || 17.324189 ||
|| 63 || 0-9-15-17 || 1-11/6-11/8-11/7 || utonal || 17.326438 ||
|| 64 || 0-12-15-17 || 1-9/8-11/8-11/7 || werckismic || 17.357561 ||
|| 65 || 0-2-5-19 || 1-8/7-7/5-9/5 || werckismic || 19.000102 ||
|| 66 || 0-2-7-19 || 1-8/7-8/5-9/5 || werckismic || 19.000366 ||
|| 67 || 0-5-7-19 || 1-7/5-8/5-9/5 || otonal || 19.000443 ||
|| 68 || 0-5-12-19 || 1-7/5-9/8-9/5 || marvel || 19.011317 ||
|| 69 || 0-6-12-19 || 1-3/2-9/8-9/5 || utonal || 19.011405 ||
|| 70 || 0-7-12-19 || 1-8/5-9/8-9/5 || marvel || 19.011579 ||
|| 71 || 0-5-13-19 || 1-7/5-6/5-9/5 || otonal || 19.022457 ||
|| 72 || 0-6-13-19 || 1-3/2-6/5-9/5 || ambitonal || 19.022544 ||
|| 73 || 0-7-13-19 || 1-8/5-6/5-9/5 || otonal || 19.022717 ||
|| 74 || 0-2-14-19 || 1-8/7-9/7-9/5 || werckismic || 19.044407 ||
|| 75 || 0-5-14-19 || 1-7/5-9/7-9/5 || swetismic || 19.044482 ||
|| 76 || 0-6-14-19 || 1-3/2-9/7-9/5 || utonal || 19.044568 ||
|| 77 || 0-7-14-19 || 1-8/5-9/7-9/5 || marvel || 19.044738 ||
|| 78 || 0-12-14-19 || 1-9/8-9/7-9/5 || utonal || 19.055285 ||
|| 79 || 0-2-17-19 || 1-8/7-11/7-9/5 || werckismic || 19.321939 ||
|| 80 || 0-5-17-19 || 1-7/5-11/7-9/5 || werckismic || 19.322001 ||
|| 81 || 0-12-17-19 || 1-9/8-11/7-9/5 || werckismic || 19.330919 ||
|| 82 || 0-14-17-19 || 1-9/7-11/7-9/5 || werckismic || 19.357554 ||
|| 83 || 0-3-5-22 || 1-11/9-7/5-11/10 || werckismic || 22.000014 ||
|| 84 || 0-5-7-22 || 1-7/5-8/5-11/10 || otonal || 22.000055 ||
|| 85 || 0-3-8-22 || 1-11/9-12/7-11/10 || swetismic || 22.000091 ||
|| 86 || 0-5-8-22 || 1-7/5-12/7-11/10 || swetismic || 22.000099 ||
|| 87 || 0-3-9-22 || 1-11/9-11/6-11/10 || utonal || 22.000179 ||
|| 88 || 0-7-9-22 || 1-8/5-11/6-11/10 || keenanismic || 22.000220 ||
|| 89 || 0-5-13-22 || 1-7/5-6/5-11/10 || otonal || 22.002826 ||
|| 90 || 0-7-13-22 || 1-8/5-6/5-11/10 || otonal || 22.002859 ||
|| 91 || 0-8-13-22 || 1-12/7-6/5-11/10 || swetismic || 22.002903 ||
|| 92 || 0-5-14-22 || 1-7/5-9/7-11/10 || swetismic || 22.005636 ||
|| 93 || 0-7-14-22 || 1-8/5-9/7-11/10 || unimarvel || 22.005669 ||
|| 94 || 0-8-14-22 || 1-12/7-9/7-11/10 || swetismic || 22.005713 ||
|| 95 || 0-9-14-22 || 1-11/6-9/7-11/10 || swetismic || 22.005800 ||
|| 96 || 0-3-15-22 || 1-11/9-11/8-11/10 || utonal || 22.011230 ||
|| 97 || 0-7-15-22 || 1-8/5-11/8-11/10 || keenanismic || 22.011271 ||
|| 98 || 0-8-15-22 || 1-12/7-11/8-11/10 || unimarvel || 22.011315 ||
|| 99 || 0-9-15-22 || 1-11/6-11/8-11/10 || utonal || 22.011402 ||
|| 100 || 0-13-15-22 || 1-6/5-11/8-11/10 || keenanismic || 22.014021 ||
|| 101 || 0-3-17-22 || 1-11/9-11/7-11/10 || utonal || 22.044397 ||
|| 102 || 0-5-17-22 || 1-7/5-11/7-11/10 || werckismic || 22.044405 ||
|| 103 || 0-8-17-22 || 1-12/7-11/7-11/10 || swetismic || 22.044480 ||
|| 104 || 0-9-17-22 || 1-11/6-11/7-11/10 || utonal || 22.044565 ||
|| 105 || 0-14-17-22 || 1-9/7-11/7-11/10 || swetismic || 22.049849 ||
|| 106 || 0-15-17-22 || 1-11/8-11/7-11/10 || utonal || 22.055283 ||
|| 107 || 0-5-19-22 || 1-7/5-9/5-11/10 || otonal || 22.169935 ||
|| 108 || 0-7-19-22 || 1-8/5-9/5-11/10 || otonal || 22.169964 ||
|| 109 || 0-13-19-22 || 1-6/5-9/5-11/10 || otonal || 22.172428 ||
|| 110 || 0-14-19-22 || 1-9/7-9/5-11/10 || swetismic || 22.174926 ||
|| 111 || 0-17-19-22 || 1-11/7-9/5-11/10 || werckismic || 22.209454 ||


=Pentads=
The other names denote types of essentially tempered chord, giving the least amount of tempering needed to define the chord. These include:
|| Number || Chord || Transversal || Type || Hash Complexity ||
* [[Marvel chords|Marvel]], for the tempering of [[225/224]]
* [[Keenanismic chords|Keenanismic]], for the tempering of [[385/384]]
* [[Swetismic chords|Swetismic]], for the tempering of [[540/539]]
* [[Rastmic chords|Rastmic]], for the tempering of [[243/242]]
* [[Werckismic chords|Werckismic]], for the tempering of [[441/440]]
* [[Undecimal marvel chords|Unimarvel]], for the tempering of any two of 225/224, 385/384 or 540/539
* [[Prodigy chords|Prodigy]], for the tempering of both 225/224 and 441/440
* [[Jove chords|Jove]], for the tempering of any two of 243/242, 441/440 or 540/539
* [[Miracle chords|Miracle]], for the tempering of any three independent commas mentioned above


|| 1 || 0-3-6-9-12 || 1-11/9-3/2-11/6-9/8 || rastmic || 12.192601 ||
The generator used below is the standard choice for miracle temperament, the secor, 16/15~15/14. However, it should be noted that the choice of generator does not affect the list of chords, only how those chords are interpreted. Does 0–7–13 denote the major triad or the minor triad? It is on the list of chords either way, but with a secor generator it is the major triad.
|| 2 || 0-2-5-7-14 || 1-8/7-7/5-8/5-9/7 || marvel || 14.014456 ||
|| 3 || 0-2-5-8-14 || 1-8/7-7/5-12/7-9/7 || jove || 14.025572 ||
|| 4 || 0-2-7-9-14 || 1-8/7-8/5-11/6-9/7 || unimarvel || 14.055706 ||
|| 5 || 0-5-7-12-14 || 1-7/5-8/5-9/8-9/7 || unimarvel || 14.333225 ||
|| 6 || 0-6-9-12-14 || 1-3/2-11/6-9/8-9/7 || jove || 14.362012 ||
|| 7 || 0-7-9-12-14 || 1-8/5-11/6-9/8-9/7 || marvel || 14.366391 ||
|| 8 || 0-3-6-8-15 || 1-11/9-3/2-12/7-11/8 || marvel || 15.014413 ||
|| 9 || 0-3-6-9-15 || 1-11/9-3/2-11/6-11/8 || rastmic || 15.025529 ||
|| 10 || 0-2-7-9-15 || 1-8/7-8/5-11/6-11/8 || keenanismic || 15.028122 ||
|| 11 || 0-3-6-12-15 || 1-11/9-3/2-9/8-11/8 || rastmic || 15.172779 ||
|| 12 || 0-3-9-12-15 || 1-11/9-11/6-9/8-11/8 || rastmic || 15.190172 ||
|| 13 || 0-6-9-12-15 || 1-3/2-11/6-9/8-11/8 || rastmic || 15.192331 ||
|| 14 || 0-7-9-12-15 || 1-8/5-11/6-9/8-11/8 || marvel || 15.194795 ||
|| 15 || 0-6-8-13-15 || 1-3/2-12/7-6/5-11/8 || keenanismic || 15.333190 ||
|| 16 || 0-2-5-8-17 || 1-8/7-7/5-12/7-11/7 || jove || 17.003221 ||
|| 17 || 0-3-5-8-17 || 1-11/9-7/5-12/7-11/7 || jove || 17.003265 ||
|| 18 || 0-3-5-12-17 || 1-11/9-7/5-9/8-11/7 || marvel || 17.044832 ||
|| 19 || 0-3-9-12-17 || 1-11/9-11/6-9/8-11/7 || jove || 17.049944 ||
|| 20 || 0-2-5-14-17 || 1-8/7-7/5-9/7-11/7 || jove || 17.170287 ||
|| 21 || 0-2-8-14-17 || 1-8/7-12/7-9/7-11/7 || otonal || 17.172476 ||
|| 22 || 0-5-8-14-17 || 1-7/5-12/7-9/7-11/7 || jove || 17.172750 ||
|| 23 || 0-2-9-14-17 || 1-8/7-11/6-9/7-11/7 || unimarvel || 17.174974 ||
|| 24 || 0-5-12-14-17 || 1-7/5-9/8-9/7-11/7 || marvel || 17.209767 ||
|| 25 || 0-9-12-14-17 || 1-11/6-9/8-9/7-11/7 || jove || 17.214329 ||
|| 26 || 0-2-8-15-17 || 1-8/7-12/7-11/8-11/7 || keenanismic || 17.324225 ||
|| 27 || 0-3-8-15-17 || 1-11/9-12/7-11/8-11/7 || unimarvel || 17.324260 ||
|| 28 || 0-2-9-15-17 || 1-8/7-11/6-11/8-11/7 || keenanismic || 17.326473 ||
|| 29 || 0-3-9-15-17 || 1-11/9-11/6-11/8-11/7 || utonal || 17.326508 ||
|| 30 || 0-3-12-15-17 || 1-11/9-9/8-11/8-11/7 || jove || 17.357629 ||
|| 31 || 0-9-12-15-17 || 1-11/6-9/8-11/8-11/7 || jove || 17.361952 ||
|| 32 || 0-2-5-7-19 || 1-8/7-7/5-8/5-9/5 || werckismic || 19.000454 ||
|| 33 || 0-5-7-12-19 || 1-7/5-8/5-9/8-9/5 || marvel || 19.011667 ||
|| 34 || 0-5-7-13-19 || 1-7/5-8/5-6/5-9/5 || otonal || 19.022804 ||
|| 35 || 0-2-5-14-19 || 1-8/7-7/5-9/7-9/5 || jove || 19.044493 ||
|| 36 || 0-2-7-14-19 || 1-8/7-8/5-9/7-9/5 || prodigy || 19.044749 ||
|| 37 || 0-5-7-14-19 || 1-7/5-8/5-9/7-9/5 || unimarvel || 19.044824 ||
|| 38 || 0-5-12-14-19 || 1-7/5-9/8-9/7-9/5 || unimarvel || 19.055370 ||
|| 39 || 0-6-12-14-19 || 1-3/2-9/8-9/7-9/5 || utonal || 19.055455 ||
|| 40 || 0-7-12-14-19 || 1-8/5-9/8-9/7-9/5 || marvel || 19.055624 ||
|| 41 || 0-2-5-17-19 || 1-8/7-7/5-11/7-9/5 || werckismic || 19.322010 ||
|| 42 || 0-5-12-17-19 || 1-7/5-9/8-11/7-9/5 || prodigy || 19.330989 ||
|| 43 || 0-2-14-17-19 || 1-8/7-9/7-11/7-9/5 || werckismic || 19.357563 ||
|| 44 || 0-5-14-17-19 || 1-7/5-9/7-11/7-9/5 || jove || 19.357623 ||
|| 45 || 0-12-14-17-19 || 1-9/8-9/7-11/7-9/5 || werckismic || 19.366324 ||
|| 46 || 0-3-5-8-22 || 1-11/9-7/5-12/7-11/10 || jove || 22.000102 ||
|| 47 || 0-5-7-13-22 || 1-7/5-8/5-6/5-11/10 || otonal || 22.002870 ||
|| 48 || 0-5-8-13-22 || 1-7/5-12/7-6/5-11/10 || swetismic || 22.002914 ||
|| 49 || 0-5-7-14-22 || 1-7/5-8/5-9/7-11/10 || unimarvel || 22.005680 ||
|| 50 || 0-5-8-14-22 || 1-7/5-12/7-9/7-11/10 || swetismic || 22.005724 ||
|| 51 || 0-7-9-14-22 || 1-8/5-11/6-9/7-11/10 || unimarvel || 22.005844 ||
|| 52 || 0-3-8-15-22 || 1-11/9-12/7-11/8-11/10 || unimarvel || 22.011318 ||
|| 53 || 0-3-9-15-22 || 1-11/9-11/6-11/8-11/10 || utonal || 22.011405 ||
|| 54 || 0-7-9-15-22 || 1-8/5-11/6-11/8-11/10 || keenanismic || 22.011446 ||
|| 55 || 0-7-13-15-22 || 1-8/5-6/5-11/8-11/10 || keenanismic || 22.014064 ||
|| 56 || 0-8-13-15-22 || 1-12/7-6/5-11/8-11/10 || unimarvel || 22.014108 ||
|| 57 || 0-3-5-17-22 || 1-11/9-7/5-11/7-11/10 || werckismic || 22.044408 ||
|| 58 || 0-3-8-17-22 || 1-11/9-12/7-11/7-11/10 || swetismic || 22.044483 ||
|| 59 || 0-5-8-17-22 || 1-7/5-12/7-11/7-11/10 || jove || 22.044491 ||
|| 60 || 0-3-9-17-22 || 1-11/9-11/6-11/7-11/10 || utonal || 22.044568 ||
|| 61 || 0-5-14-17-22 || 1-7/5-9/7-11/7-11/10 || jove || 22.049860 ||
|| 62 || 0-8-14-17-22 || 1-12/7-9/7-11/7-11/10 || swetismic || 22.049934 ||
|| 63 || 0-9-14-17-22 || 1-11/6-9/7-11/7-11/10 || swetismic || 22.050019 ||
|| 64 || 0-3-15-17-22 || 1-11/9-11/8-11/7-11/10 || utonal || 22.055285 ||
|| 65 || 0-8-15-17-22 || 1-12/7-11/8-11/7-11/10 || unimarvel || 22.055368 ||
|| 66 || 0-9-15-17-22 || 1-11/6-11/8-11/7-11/10 || utonal || 22.055452 ||
|| 67 || 0-5-7-19-22 || 1-7/5-8/5-9/5-11/10 || otonal || 22.169974 ||
|| 68 || 0-5-13-19-22 || 1-7/5-6/5-9/5-11/10 || otonal || 22.172438 ||
|| 69 || 0-7-13-19-22 || 1-8/5-6/5-9/5-11/10 || otonal || 22.172467 ||
|| 70 || 0-5-14-19-22 || 1-7/5-9/7-9/5-11/10 || swetismic || 22.174936 ||
|| 71 || 0-7-14-19-22 || 1-8/5-9/7-9/5-11/10 || unimarvel || 22.174965 ||
|| 72 || 0-5-17-19-22 || 1-7/5-11/7-9/5-11/10 || werckismic || 22.209463 ||
|| 73 || 0-14-17-19-22 || 1-9/7-11/7-9/5-11/10 || jove || 22.214319 ||
</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chords of miracle&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Triads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Triads&lt;/h1&gt;


== Triads ==
The chords are ordered by generator steps. This chord ordering is useful because you can tell how often it will occur in a scale of miracle. For instance, Chord 0–2–5, which is 1–8/7–7/5, occurs for the first time on the fifth generation, and will therefore occur five times in Miracle[10]. Chord 0–3–9, which is 1–11/9–11/6, occurs for the first time on the ninth generation, and therefore appears only once in Miracle[10].


&lt;table class="wiki_table"&gt;
Each of the triads generated has three rotations ("inversions"), i.e., can be written starting on any one of the three tones in the triad.
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Hash Complexity&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5.209453&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;0-3-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5.357552&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;0-3-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.189825&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;0-2-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-8/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7.055282&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-8/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7.330917&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;0-2-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8.027906&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;0-3-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8.049849&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8.174926&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8.326429&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;0-2-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-11/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9.014020&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;0-3-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9.025140&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;0-6-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-11/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9.172428&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;0-7-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-11/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9.324181&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;0-3-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12.003167&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;0-5-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12.011577&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;0-6-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12.022715&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;0-7-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12.044736&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;0-9-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12.170238&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;0-5-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13.005800&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;0-6-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13.011402&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;0-7-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13.022541&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;0-8-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13.044565&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;0-2-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.000440&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;0-5-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.002903&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;0-6-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.005712&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;0-7-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.011315&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;0-8-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.022455&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;0-9-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.04448&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;0-12-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.321999&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;0-2-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.000220&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;0-3-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.000396&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;0-6-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.002859&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;0-7-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.005660&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;0-8-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.011271&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;0-9-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.022411&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;0-12-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.169964&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;0-13-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.321963&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;0-2-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.000055&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;0-3-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.000099&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;0-5-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.000363&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;0-8-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.002826&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;0-9-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.005636&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;0-12-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.0444&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;0-14-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.169935&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;0-15-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.321937&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;0-2-19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19.000014&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;0-5-19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19.000091&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;0-6-19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19.000179&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;0-7-19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19.000355&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;0-12-19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19.011230&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;0-13-19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19.022371&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;0-14-19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19.044397&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;0-17-19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19.321930&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;0-3-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.000003&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;0-5-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.000011&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;0-7-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.000044&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;0-8-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.000088&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;0-9-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.000176&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;0-13-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.002815&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;0-14-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.005625&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;0-15-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/8-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.011228&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;0-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.044394&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;0-19-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.169925&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
This ordering does create results that may seem surprising: for example, chord #21, 1–6/5–8/5, is the first inversion of 1–5/4–3/2; in this list, 1–5/4–3/2 is the second inversion of chord #21. Unlike in traditional music theory, there is nothing canonical about these orderings and inversions.
&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;


All three inversions for all 63 chords are notated in this [[Media:41-EDO-Miracle-scale-and-triads.pdf|PDF]] and can be heard using a [[Media:41 EDO Miracle - scale and triads - piano.mp3|piano]], a [[Media:41 EDO Miracle - scale and triads - steel gtr.mp3|steel-stringed guitar]], a [[Media:41 EDO Miracle - scale and triads - nylon guitar.mp3|nylon-stringed guitar]], and a [[Media:41 EDO Miracle - scale and triads - strings.mp3|string ensemble]]. (All linked files are in MP3 format. They were created in [http://www.mus2.com.tr/en/ Mus2] using 41edo sagittal notation ([[Media:41 EDO Miracle - scale and triads.mus2|get Mus2 file]]), exported to tuned [[MIDI]], and rendered with [[Timidity++]] using soundfonts.) Finally, here is a [[Media:41 EDO Miracle - scale and triads.mid|tuned MIDI file]]. The sequence is: chord as generated, first inversion, second inversion, quarter-note rest.


&lt;table class="wiki_table"&gt;
{| class="wikitable center-1"
    &lt;tr&gt;
|-
        &lt;td&gt;Number&lt;br /&gt;
! #
&lt;/td&gt;
! Chord
        &lt;td&gt;Chord&lt;br /&gt;
! Transversal
&lt;/td&gt;
! Type
        &lt;td&gt;Transversal&lt;br /&gt;
! Hash
&lt;/td&gt;
! As generated
        &lt;td&gt;Type&lt;br /&gt;
! First inversion
&lt;/td&gt;
! Second inversion
        &lt;td&gt;Hash Complexity&lt;br /&gt;
|-
&lt;/td&gt;
| 1
    &lt;/tr&gt;
| 0-2-5
    &lt;tr&gt;
| 1-8/7-7/5
        &lt;td&gt;1&lt;br /&gt;
| werckismic
&lt;/td&gt;
| 5.209453
        &lt;td&gt;0-2-5-7&lt;br /&gt;
| 1/1-8/7-7/5
&lt;/td&gt;
| 1/1-11/9-7/
        &lt;td&gt;1-8/7-7/5-8/5&lt;br /&gt;
| 1/1-10/7-18/11
&lt;/td&gt;
|-
        &lt;td&gt;werckismic&lt;br /&gt;
| 2
&lt;/td&gt;
| 0-3-5
        &lt;td&gt;7.366322&lt;br /&gt;
| 1-11/9-7/5
&lt;/td&gt;
| werckismic
    &lt;/tr&gt;
| 5.357552
    &lt;tr&gt;
| 1/1-11/9-7/
        &lt;td&gt;2&lt;br /&gt;
| 1/1-8/7-18/11
&lt;/td&gt;
| 1/1-10/7-7/
        &lt;td&gt;0-2-5-8&lt;br /&gt;
|-
&lt;/td&gt;
| 3
        &lt;td&gt;1-8/7-7/5-12/7&lt;br /&gt;
| 0-3-6
&lt;/td&gt;
| 1-11/9-3/2
        &lt;td&gt;jove&lt;br /&gt;
| rastmic
&lt;/td&gt;
| 6.189825
        &lt;td&gt;8.194757&lt;br /&gt;
| 1/1-11/9-3/
&lt;/td&gt;
| 1/1-11/9-18/11
    &lt;/tr&gt;
| 1/1-4/3-18/11
    &lt;tr&gt;
|-
        &lt;td&gt;3&lt;br /&gt;
| 4
&lt;/td&gt;
| 0-2-7
        &lt;td&gt;0-3-5-8&lt;br /&gt;
| 1-8/7-8/5
&lt;/td&gt;
| utonal
        &lt;td&gt;1-11/9-7/5-12/7&lt;br /&gt;
| 7.055282
&lt;/td&gt;
| 1/1-8/7-8/
        &lt;td&gt;jove&lt;br /&gt;
| 1/1-7/5-7/4 
&lt;/td&gt;
| 1/1-5/4-10/
        &lt;td&gt;8.214319&lt;br /&gt;
|-
&lt;/td&gt;
| 5
    &lt;/tr&gt;
| 0-5-7
    &lt;tr&gt;
| 1-7/5-8/5
        &lt;td&gt;4&lt;br /&gt;
| otonal
&lt;/td&gt;
| 7.330917
        &lt;td&gt;0-3-6-8&lt;br /&gt;
| 1/1-7/5-8/
&lt;/td&gt;
| 1/1-8/7-10/7 
        &lt;td&gt;1-11/9-3/2-12/7&lt;br /&gt;
| 1/1-5/4-7/
&lt;/td&gt;
|-
        &lt;td&gt;jove&lt;br /&gt;
| 6
&lt;/td&gt;
| 0-2-8
        &lt;td&gt;8.361944&lt;br /&gt;
| 1-8/7-12/7
&lt;/td&gt;
| otonal
    &lt;/tr&gt;
| 8.027906
    &lt;tr&gt;
| 1/1-8/7-12/
        &lt;td&gt;5&lt;br /&gt;
| 1/1-3/2-7/
&lt;/td&gt;
| 1/1-7/6-4/
        &lt;td&gt;0-3-6-9&lt;br /&gt;
|-
&lt;/td&gt;
| 7
        &lt;td&gt;1-11/9-3/2-11/6&lt;br /&gt;
| 0-3-8
&lt;/td&gt;
| 1-11/9-12/7
        &lt;td&gt;rastmic&lt;br /&gt;
| swetismic
&lt;/td&gt;
| 8.049849
        &lt;td&gt;9.192293&lt;br /&gt;
| 1/1-11/9-12/
&lt;/td&gt;
| 1/1-7/5-18/11
    &lt;/tr&gt;
| 1/1-7/6-10/
    &lt;tr&gt;
|-
        &lt;td&gt;6&lt;br /&gt;
| 8
&lt;/td&gt;
| 0-5-8
        &lt;td&gt;0-2-7-9&lt;br /&gt;
| 1-7/5-12/7
&lt;/td&gt;
| swetismic
        &lt;td&gt;1-8/7-8/5-11/6&lt;br /&gt;
| 8.174926
&lt;/td&gt;
| 1/1-7/5-12/
        &lt;td&gt;keenanismic&lt;br /&gt;
| 1/1-11/9-10/
&lt;/td&gt;
| 1/1-7/6-18/11
        &lt;td&gt;9.333155&lt;br /&gt;
|-
&lt;/td&gt;
| 9
    &lt;/tr&gt;
| 0-6-8
    &lt;tr&gt;
| 1-3/2-12/7
        &lt;td&gt;7&lt;br /&gt;
| utonal
&lt;/td&gt;
| 8.326429
        &lt;td&gt;0-3-5-12&lt;br /&gt;
| 1/1-3/2-12/
&lt;/td&gt;
| 1/1-8/7-4/
        &lt;td&gt;1-11/9-7/5-9/8&lt;br /&gt;
| 1/1-7/6-7/
&lt;/td&gt;
|-
        &lt;td&gt;marvel&lt;br /&gt;
| 10
&lt;/td&gt;
| 0-2-9
        &lt;td&gt;12.014369&lt;br /&gt;
| 1-8/7-11/6
&lt;/td&gt;
| keenanismic
    &lt;/tr&gt;
| 9.014020
    &lt;tr&gt;
| 1/1-8/7-11/
        &lt;td&gt;8&lt;br /&gt;
| 1/1-8/5-7/
&lt;/td&gt;
| 1/1-12/11-5/
        &lt;td&gt;0-3-6-12&lt;br /&gt;
|-
&lt;/td&gt;
| 11
        &lt;td&gt;1-11/9-3/2-9/8&lt;br /&gt;
| 0-3-9
&lt;/td&gt;
| 1-11/9-11/6
        &lt;td&gt;rastmic&lt;br /&gt;
| utonal
&lt;/td&gt;
| 9.025140
        &lt;td&gt;12.025486&lt;br /&gt;
| 1/1-11/9-11/
&lt;/td&gt;
| 1/1-3/2-18/11
    &lt;/tr&gt;
| 1/1-12/11-4/
    &lt;tr&gt;
|-
        &lt;td&gt;9&lt;br /&gt;
| 12
&lt;/td&gt;
| 0-6-9
        &lt;td&gt;0-5-7-12&lt;br /&gt;
| 1-3/2-11/6
&lt;/td&gt;
| otonal
        &lt;td&gt;1-7/5-8/5-9/8&lt;br /&gt;
| 9.172428
&lt;/td&gt;
| 1/1-3/2-11/6
        &lt;td&gt;marvel&lt;br /&gt;
| 1/1-11/9-4/
&lt;/td&gt;
| 1/1-12/11-18/11
        &lt;td&gt;12.055621&lt;br /&gt;
|-
&lt;/td&gt;
| 13
    &lt;/tr&gt;
| 0-7-9
    &lt;tr&gt;
| 1-8/5-11/6
        &lt;td&gt;10&lt;br /&gt;
| keenanismic
&lt;/td&gt;
| 9.324181
        &lt;td&gt;0-3-9-12&lt;br /&gt;
| 1/1-8/5-11/
&lt;/td&gt;
| 1/1-8/7-5/
        &lt;td&gt;1-11/9-11/6-9/8&lt;br /&gt;
| 1/1-12/11-7/
&lt;/td&gt;
|-
        &lt;td&gt;rastmic&lt;br /&gt;
| 14
&lt;/td&gt;
| 0-3-12
        &lt;td&gt;12.172740&lt;br /&gt;
| 1-11/9-9/8
&lt;/td&gt;
| rastmic
    &lt;/tr&gt;
| 12.003167
    &lt;tr&gt;
| 1/1-9/8-11/
        &lt;td&gt;11&lt;br /&gt;
| 1/1-12/11-16/
&lt;/td&gt;
| 1/1-18/11-11/
        &lt;td&gt;0-6-9-12&lt;br /&gt;
|-
&lt;/td&gt;
| 15
        &lt;td&gt;1-3/2-11/6-9/8&lt;br /&gt;
| 0-5-12
&lt;/td&gt;
| 1-7/5-9/8
        &lt;td&gt;rastmic&lt;br /&gt;
| marvel
&lt;/td&gt;
| 12.011577
        &lt;td&gt;12.190133&lt;br /&gt;
| 1/1-9/8-7/
&lt;/td&gt;
| 1/1-56/45-16/
    &lt;/tr&gt;
| 1/1-10/7-8/
    &lt;tr&gt;
|-
        &lt;td&gt;12&lt;br /&gt;
| 16
&lt;/td&gt;
| 0-6-12
        &lt;td&gt;0-7-9-12&lt;br /&gt;
| 1-3/2-9/8
&lt;/td&gt;
| ambitonal
        &lt;td&gt;1-8/5-11/6-9/8&lt;br /&gt;
| 12.022715
&lt;/td&gt;
| 1/1-9/8-3/
        &lt;td&gt;marvel&lt;br /&gt;
| 1/1-4/3-16/
&lt;/td&gt;
| 1/1-4/3-3/
        &lt;td&gt;12.209758&lt;br /&gt;
|-
&lt;/td&gt;
| 17
    &lt;/tr&gt;
| 0-7-12
    &lt;tr&gt;
| 1-8/5-9/8
        &lt;td&gt;13&lt;br /&gt;
| marvel
&lt;/td&gt;
| 12.044736
        &lt;td&gt;0-5-7-13&lt;br /&gt;
| 1/1-9/8-8/
&lt;/td&gt;
| 1/1-10/7-16/
        &lt;td&gt;1-7/5-8/5-6/5&lt;br /&gt;
| 1/1-5/4-7/
&lt;/td&gt;
|-
        &lt;td&gt;otonal&lt;br /&gt;
| 18
&lt;/td&gt;
| 0-9-12
        &lt;td&gt;13.028079&lt;br /&gt;
| 1-11/6-9/8
&lt;/td&gt;
| rastmic
    &lt;/tr&gt;
| 12.170238
    &lt;tr&gt;
| 1/1-9/8-11/
        &lt;td&gt;14&lt;br /&gt;
| 1/1-18/11-16/
&lt;/td&gt;
| 1/1-12/11-11/
        &lt;td&gt;0-5-8-13&lt;br /&gt;
|-
&lt;/td&gt;
| 19
        &lt;td&gt;1-7/5-12/7-6/5&lt;br /&gt;
| 0-5-13
&lt;/td&gt;
| 1-7/5-6/5
        &lt;td&gt;swetismic&lt;br /&gt;
| otonal
&lt;/td&gt;
| 13.005800
        &lt;td&gt;13.050019&lt;br /&gt;
| 1/1-6/5-7/
&lt;/td&gt;
| 1/1-7/6-5/
    &lt;/tr&gt;
| 1/1-10/7-12/
    &lt;tr&gt;
|-
        &lt;td&gt;15&lt;br /&gt;
| 20
&lt;/td&gt;
| 0-6-13
        &lt;td&gt;0-6-8-13&lt;br /&gt;
| 1-3/2-6/5
&lt;/td&gt;
| utonal
        &lt;td&gt;1-3/2-12/7-6/5&lt;br /&gt;
| 13.011402
&lt;/td&gt;
| 1/1-6/5-3/
        &lt;td&gt;utonal&lt;br /&gt;
| 1/1-5/4-5/
&lt;/td&gt;
| 1/1-4/3-8/
        &lt;td&gt;13.055452&lt;br /&gt;
|-
&lt;/td&gt;
| 21
    &lt;/tr&gt;
| 0-7-13
    &lt;tr&gt;
| 1-8/5-6/5
        &lt;td&gt;16&lt;br /&gt;
| otonal
&lt;/td&gt;
| 13.022541
        &lt;td&gt;0-2-5-14&lt;br /&gt;
| 1/1-6/5-8/
&lt;/td&gt;
| 1/1-4/3-5/
        &lt;td&gt;1-8/7-7/5-9/7&lt;br /&gt;
| 1/1-5/4-3/
&lt;/td&gt;
|-
        &lt;td&gt;jove&lt;br /&gt;
| 22
&lt;/td&gt;
| 0-8-13
        &lt;td&gt;14.003254&lt;br /&gt;
| 1-12/7-6/5
&lt;/td&gt;
| utonal
    &lt;/tr&gt;
| 13.044565
    &lt;tr&gt;
| 1/1-6/5-12/
        &lt;td&gt;17&lt;br /&gt;
| 1/1-10/7-5/3
&lt;/td&gt;
| 1/1-7/6-7/
        &lt;td&gt;0-2-7-14&lt;br /&gt;
|-
&lt;/td&gt;
| 23
        &lt;td&gt;1-8/7-8/5-9/7&lt;br /&gt;
| 0-2-14
&lt;/td&gt;
| 1-8/7-9/7
        &lt;td&gt;marvel&lt;br /&gt;
| otonal
&lt;/td&gt;
| 14.000440
        &lt;td&gt;14.011664&lt;br /&gt;
| 1/1-8/7-9/
&lt;/td&gt;
| 1/1-9/8-7/
    &lt;/tr&gt;
| 1/1-14/9-16/
    &lt;tr&gt;
|-
        &lt;td&gt;18&lt;br /&gt;
| 24
&lt;/td&gt;
| 0-5-14
        &lt;td&gt;0-5-7-14&lt;br /&gt;
| 1-7/5-9/7
&lt;/td&gt;
| swetismic
        &lt;td&gt;1-7/5-8/5-9/7&lt;br /&gt;
| 14.002903
&lt;/td&gt;
| 1/1-9/7-7/
        &lt;td&gt;unimarvel&lt;br /&gt;
| 1/1-12/11-14/
&lt;/td&gt;
| 1/1-10/7-11/
        &lt;td&gt;14.014108&lt;br /&gt;
|-
&lt;/td&gt;
| 25
    &lt;/tr&gt;
| 0-6-14
    &lt;tr&gt;
| 1-3/2-9/7
        &lt;td&gt;19&lt;br /&gt;
| utonal
&lt;/td&gt;
| 14.005712
        &lt;td&gt;0-2-8-14&lt;br /&gt;
| 1/1-9/7-3/
&lt;/td&gt;
| 1/1-7/6-14/
        &lt;td&gt;1-8/7-12/7-9/7&lt;br /&gt;
| 1/1-4/3-12/7 
&lt;/td&gt;
|-
        &lt;td&gt;otonal&lt;br /&gt;
| 26
&lt;/td&gt;
| 0-7-14
        &lt;td&gt;14.022801&lt;br /&gt;
| 1-8/5-9/7
&lt;/td&gt;
| marvel
    &lt;/tr&gt;
| 14.011315
    &lt;tr&gt;
| 1/1-9/7-8/
        &lt;td&gt;20&lt;br /&gt;
| 1/1-5/4-14/9
&lt;/td&gt;
| 1/1-5/4-8/
        &lt;td&gt;0-5-8-14&lt;br /&gt;
|-
&lt;/td&gt;
| 27
        &lt;td&gt;1-7/5-12/7-9/7&lt;br /&gt;
| 0-8-14
&lt;/td&gt;
| 1-12/7-9/7
        &lt;td&gt;swetismic&lt;br /&gt;
| otonal
&lt;/td&gt;
| 14.022455
        &lt;td&gt;14.025226&lt;br /&gt;
| 1/1-9/7-12/
&lt;/td&gt;
| 1/1-4/3-14/9 
    &lt;/tr&gt;
| 1/1-7/6-3/
    &lt;tr&gt;
|-
        &lt;td&gt;21&lt;br /&gt;
| 28
&lt;/td&gt;
| 0-9-14
        &lt;td&gt;0-6-8-14&lt;br /&gt;
| 1-11/6-9/7
&lt;/td&gt;
| swetismic
        &lt;td&gt;1-3/2-12/7-9/7&lt;br /&gt;
| 14.04448
&lt;/td&gt;
| 1/1-9/7-11/
        &lt;td&gt;ambitonal&lt;br /&gt;
| 1/1-10/7-14/9
&lt;/td&gt;
| 1/1-12/11-7/
        &lt;td&gt;14.027992&lt;br /&gt;
|-
&lt;/td&gt;
| 29
    &lt;/tr&gt;
| 0-12-14
    &lt;tr&gt;
| 1-9/8-9/7
        &lt;td&gt;22&lt;br /&gt;
| utonal
&lt;/td&gt;
| 14.321999
        &lt;td&gt;0-2-9-14&lt;br /&gt;
| 1/1-9/8-9/
&lt;/td&gt;
| 1/1-8/7-16/
        &lt;td&gt;1-8/7-11/6-9/7&lt;br /&gt;
| 1/1-14/9-7/
&lt;/td&gt;
|-
        &lt;td&gt;unimarvel&lt;br /&gt;
| 30
&lt;/td&gt;
| 0-2-15
        &lt;td&gt;14.044821&lt;br /&gt;
| 1-8/7-11/8
&lt;/td&gt;
| keenanismic
    &lt;/tr&gt;
| 15.000220
    &lt;tr&gt;
| 1/1-8/7-11/
        &lt;td&gt;23&lt;br /&gt;
| 1/1-6/5-7/
&lt;/td&gt;
| 1/1-16/11-5/
        &lt;td&gt;0-6-9-14&lt;br /&gt;
|-
&lt;/td&gt;
| 31
        &lt;td&gt;1-3/2-11/6-9/7&lt;br /&gt;
| 0-3-15
&lt;/td&gt;
| 1-11/9-11/8
        &lt;td&gt;swetismic&lt;br /&gt;
| utonal
&lt;/td&gt;
| 15.000396
        &lt;td&gt;14.049934&lt;br /&gt;
| 1/1-11/9-11/
&lt;/td&gt;
| 1/1-9/8-18/11
    &lt;/tr&gt;
| 1/1-16/11-16/
    &lt;tr&gt;
|-
        &lt;td&gt;24&lt;br /&gt;
| 32
&lt;/td&gt;
| 0-6-15
        &lt;td&gt;0-7-9-14&lt;br /&gt;
| 1-3/2-11/8
&lt;/td&gt;
| otonal
        &lt;td&gt;1-8/5-11/6-9/7&lt;br /&gt;
| 15.002859
&lt;/td&gt;
| 1/1-11/8-3/
        &lt;td&gt;unimarvel&lt;br /&gt;
| 1/1-12/11-16/11
&lt;/td&gt;
| 1/1-4/3-11/6
        &lt;td&gt;14.055367&lt;br /&gt;
|-
&lt;/td&gt;
| 33
    &lt;/tr&gt;
| 0-7-15
    &lt;tr&gt;
| 1-8/5-11/8
        &lt;td&gt;25&lt;br /&gt;
| keenanismic
&lt;/td&gt;
| 15.005660
        &lt;td&gt;0-5-12-14&lt;br /&gt;
| 1/1-11/8-8/
&lt;/td&gt;
| 1/1-7/6-16/11
        &lt;td&gt;1-7/5-9/8-9/7&lt;br /&gt;
| 1/1-5/4-12/
&lt;/td&gt;
|-
        &lt;td&gt;unimarvel&lt;br /&gt;
| 34
&lt;/td&gt;
| 0-8-15
        &lt;td&gt;14.324251&lt;br /&gt;
| 1-12/7-11/8
&lt;/td&gt;
| keenanismic
    &lt;/tr&gt;
| 15.011271
    &lt;tr&gt;
| 1/1-11/8-12/
        &lt;td&gt;26&lt;br /&gt;
| 1/1-5/4-16/11
&lt;/td&gt;
| 1/1-7/6-8/5
        &lt;td&gt;0-6-12-14&lt;br /&gt;
|-
&lt;/td&gt;
| 35
        &lt;td&gt;1-3/2-9/8-9/7&lt;br /&gt;
| 0-9-15
&lt;/td&gt;
| 1-11/6-11/8
        &lt;td&gt;utonal&lt;br /&gt;
| utonal
&lt;/td&gt;
| 15.022411
        &lt;td&gt;14.326500&lt;br /&gt;
| 1/1-11/8-11/
&lt;/td&gt;
| 1/1-4/3-16/11
    &lt;/tr&gt;
| 1/1-12/11-3/
    &lt;tr&gt;
|-
        &lt;td&gt;27&lt;br /&gt;
| 36
&lt;/td&gt;
| 0-12-15
        &lt;td&gt;0-7-12-14&lt;br /&gt;
| 1-9/8-11/8
&lt;/td&gt;
| otonal
        &lt;td&gt;1-8/5-9/8-9/7&lt;br /&gt;
| 15.169964
&lt;/td&gt;
| 1/1-9/8-11/
        &lt;td&gt;marvel&lt;br /&gt;
| 1/1-11/9-16/
&lt;/td&gt;
| 1/1-16/11-18/11  
        &lt;td&gt;14.330987&lt;br /&gt;
|-
&lt;/td&gt;
| 37
    &lt;/tr&gt;
| 0-13-15
    &lt;tr&gt;
| 1-6/5-11/8
        &lt;td&gt;28&lt;br /&gt;
| keenanismic
&lt;/td&gt;
| 15.321963
        &lt;td&gt;0-9-12-14&lt;br /&gt;
| 1/1-6/5-11/
&lt;/td&gt;
| 1/1-8/7-5/
        &lt;td&gt;1-11/6-9/8-9/7&lt;br /&gt;
| 1/1-16/11-7/
&lt;/td&gt;
|-
        &lt;td&gt;jove&lt;br /&gt;
| 38
&lt;/td&gt;
| 0-2-17
        &lt;td&gt;14.357621&lt;br /&gt;
| 1-8/7-11/7
&lt;/td&gt;
| otonal
    &lt;/tr&gt;
| 17.000055
    &lt;tr&gt;
| 1/1-8/7-11/
        &lt;td&gt;29&lt;br /&gt;
| 1/1-11/8-7/
&lt;/td&gt;
| 1/1-14/11-16/11
        &lt;td&gt;0-3-6-15&lt;br /&gt;
|-
&lt;/td&gt;
| 39
        &lt;td&gt;1-11/9-3/2-11/8&lt;br /&gt;
| 0-3-17
&lt;/td&gt;
| 1-11/9-11/7
        &lt;td&gt;rastmic&lt;br /&gt;
| utonal
&lt;/td&gt;
| 17.000099
        &lt;td&gt;15.003210&lt;br /&gt;
| 1/1-11/9-11/
&lt;/td&gt;
| 1/1-9/7-18/11
    &lt;/tr&gt;
| 1/1-14/11-14/
    &lt;tr&gt;
|-
        &lt;td&gt;30&lt;br /&gt;
| 40
&lt;/td&gt;
| 0-5-17
        &lt;td&gt;0-2-7-15&lt;br /&gt;
| 1-7/5-11/7
&lt;/td&gt;
| werckismic
        &lt;td&gt;1-8/7-8/5-11/8&lt;br /&gt;
| 17.000363
&lt;/td&gt;
| 1/1-7/5-11/
        &lt;td&gt;keenanismic&lt;br /&gt;
| 1/1-9/8-10/7
&lt;/td&gt;
| 1/1-14/11-16/
        &lt;td&gt;15.005844&lt;br /&gt;
|-
&lt;/td&gt;
| 41
    &lt;/tr&gt;
| 0-8-17
    &lt;tr&gt;
| 1-12/7-11/7
        &lt;td&gt;31&lt;br /&gt;
| otonal
&lt;/td&gt;
| 17.002826
        &lt;td&gt;0-2-8-15&lt;br /&gt;
| 1/1-11/7-12/
&lt;/td&gt;
| 1/1-12/11-14/11
        &lt;td&gt;1-8/7-12/7-11/8&lt;br /&gt;
| 1/1-7/6-11/
&lt;/td&gt;
|-
        &lt;td&gt;keenanismic&lt;br /&gt;
| 42
&lt;/td&gt;
| 0-9-17
        &lt;td&gt;15.011446&lt;br /&gt;
| 1-11/6-11/7
&lt;/td&gt;
| utonal
    &lt;/tr&gt;
| 17.005636
    &lt;tr&gt;
| 1/1-11/7-11/
        &lt;td&gt;32&lt;br /&gt;
| 1/1-7/6-14/11
&lt;/td&gt;
| 1/1-12/11-12/7
        &lt;td&gt;0-3-8-15&lt;br /&gt;
|-
&lt;/td&gt;
| 43
        &lt;td&gt;1-11/9-12/7-11/8&lt;br /&gt;
| 0-12-17
&lt;/td&gt;
| 1-9/8-11/7
        &lt;td&gt;unimarvel&lt;br /&gt;
| werckismic
&lt;/td&gt;
| 17.0444
        &lt;td&gt;15.011620&lt;br /&gt;
| 1/1-9/8-11/
&lt;/td&gt;
| 1/1-7/5-16/9
    &lt;/tr&gt;
| 1/1-14/11-10/
    &lt;tr&gt;
|-
        &lt;td&gt;33&lt;br /&gt;
| 44
&lt;/td&gt;
| 0-14-17
        &lt;td&gt;0-6-8-15&lt;br /&gt;
| 1-9/7-11/7
&lt;/td&gt;
| otonal
        &lt;td&gt;1-3/2-12/7-11/8&lt;br /&gt;
| 17.169935
&lt;/td&gt;
| 1/1-9/7-11/
        &lt;td&gt;keenanismic&lt;br /&gt;
| 1/1-11/9-14/
&lt;/td&gt;
| 1/1-14/11-18/11  
        &lt;td&gt;15.014064&lt;br /&gt;
|-
&lt;/td&gt;
| 45
    &lt;/tr&gt;
| 0-15-17
    &lt;tr&gt;
| 1-11/8-11/7
        &lt;td&gt;34&lt;br /&gt;
| utonal
&lt;/td&gt;
| 17.321937
        &lt;td&gt;0-2-9-15&lt;br /&gt;
| 1/1-11/8-11/
&lt;/td&gt;
| 1/1-8/7-16/11  
        &lt;td&gt;1-8/7-11/6-11/8&lt;br /&gt;
| 1/1-14/11-7/
&lt;/td&gt;
|-
        &lt;td&gt;keenanismic&lt;br /&gt;
| 46
&lt;/td&gt;
| 0-2-19
        &lt;td&gt;15.022585&lt;br /&gt;
| 1-8/7-9/5
&lt;/td&gt;
| werckismic
    &lt;/tr&gt;
| 19.000014
    &lt;tr&gt;
| 1/1-8/7-9/
        &lt;td&gt;35&lt;br /&gt;
| 1/1-11/7-7/
&lt;/td&gt;
| 1/1-10/9-14/11
        &lt;td&gt;0-3-9-15&lt;br /&gt;
|-
&lt;/td&gt;
| 47
        &lt;td&gt;1-11/9-11/6-11/8&lt;br /&gt;
| 0-5-19
&lt;/td&gt;
| 1-7/5-9/5
        &lt;td&gt;utonal&lt;br /&gt;
| otonal
&lt;/td&gt;
| 19.000091
        &lt;td&gt;15.022758&lt;br /&gt;
| 1/1-7/5-9/
&lt;/td&gt;
| 1/1-9/7-10/7
    &lt;/tr&gt;
| 1/1-10/9-14/
    &lt;tr&gt;
|-
        &lt;td&gt;36&lt;br /&gt;
| 48
&lt;/td&gt;
| 0-6-19
        &lt;td&gt;0-6-9-15&lt;br /&gt;
| 1-3/2-9/5
&lt;/td&gt;
| utonal
        &lt;td&gt;1-3/2-11/6-11/8&lt;br /&gt;
| 19.000179
&lt;/td&gt;
| 1/1-3/2-9/5
        &lt;td&gt;ambitonal&lt;br /&gt;
| 1/1-6/5-4/
&lt;/td&gt;
| 1/1-10/9-5/
        &lt;td&gt;15.025183&lt;br /&gt;
|-
&lt;/td&gt;
| 49
    &lt;/tr&gt;
| 0-7-19
    &lt;tr&gt;
| 1-8/5-9/5
        &lt;td&gt;37&lt;br /&gt;
| otonal
&lt;/td&gt;
| 19.000355
        &lt;td&gt;0-7-9-15&lt;br /&gt;
| 1/1-8/5-9/
&lt;/td&gt;
| 1/1-9/8-5/
        &lt;td&gt;1-8/5-11/6-11/8&lt;br /&gt;
| 1/1-10/9-16/
&lt;/td&gt;
|-
        &lt;td&gt;keenanismic&lt;br /&gt;
| 50
&lt;/td&gt;
| 0-12-19
        &lt;td&gt;15.027949&lt;br /&gt;
| 1-9/8-9/5
&lt;/td&gt;
| utonal
    &lt;/tr&gt;
| 19.011230
    &lt;tr&gt;
| 1/1-9/8-9/
        &lt;td&gt;38&lt;br /&gt;
| 1/1-8/5-16/
&lt;/td&gt;
| 1/1-10/9-5/
        &lt;td&gt;0-3-12-15&lt;br /&gt;
|-
&lt;/td&gt;
| 51
        &lt;td&gt;1-11/9-9/8-11/8&lt;br /&gt;
| 0-13-19
&lt;/td&gt;
| 1-6/5-9/5
        &lt;td&gt;rastmic&lt;br /&gt;
| otonal
&lt;/td&gt;
| 19.022371
        &lt;td&gt;15.170277&lt;br /&gt;
| 1/1-6/5-9/
&lt;/td&gt;
| 1/1-3/2-5/
    &lt;/tr&gt;
| 1/1-10/9-4/
    &lt;tr&gt;
|-
        &lt;td&gt;39&lt;br /&gt;
| 52
&lt;/td&gt;
| 0-14-19
        &lt;td&gt;0-6-12-15&lt;br /&gt;
| 1-9/7-9/5
&lt;/td&gt;
| utonal
        &lt;td&gt;1-3/2-9/8-11/8&lt;br /&gt;
| 19.044397
&lt;/td&gt;
| 1/1-9/7-9/
        &lt;td&gt;otonal&lt;br /&gt;
| 1/1-7/5-14/9
&lt;/td&gt;
| 1/1-10/9-10/
        &lt;td&gt;15.172467&lt;br /&gt;
|-
&lt;/td&gt;
| 53
    &lt;/tr&gt;
| 0-17-19
    &lt;tr&gt;
| 1-11/7-9/5
        &lt;td&gt;40&lt;br /&gt;
| werckismic
&lt;/td&gt;
| 19.321930
        &lt;td&gt;0-7-12-15&lt;br /&gt;
| 1/1-11/7-9/
&lt;/td&gt;
| 1/1-8/7-14/11
        &lt;td&gt;1-8/5-9/8-11/8&lt;br /&gt;
| 1/1-10/9-7/
&lt;/td&gt;
|-
        &lt;td&gt;unimarvel&lt;br /&gt;
| 54
&lt;/td&gt;
| 0-3-22
        &lt;td&gt;15.174965&lt;br /&gt;
| 1-11/9-11/10
&lt;/td&gt;
| utonal
    &lt;/tr&gt;
| 22.000003
    &lt;tr&gt;
| 1/1-11/10-11/
        &lt;td&gt;41&lt;br /&gt;
| 1/1-10/9-20/11
&lt;/td&gt;
| 1/1-18/11-9/
        &lt;td&gt;0-9-12-15&lt;br /&gt;
|-
&lt;/td&gt;
| 55
        &lt;td&gt;1-11/6-9/8-11/8&lt;br /&gt;
| 0-5-22
&lt;/td&gt;
| 1-7/5-11/10
        &lt;td&gt;rastmic&lt;br /&gt;
| otonal
&lt;/td&gt;
| 22.000011
        &lt;td&gt;15.189863&lt;br /&gt;
| 1/1-11/10-7/
&lt;/td&gt;
| 1/1-14/11-20/11
    &lt;/tr&gt;
| 1/1-10/7-11/7
    &lt;tr&gt;
|-
        &lt;td&gt;42&lt;br /&gt;
| 56
&lt;/td&gt;
| 0-7-22
        &lt;td&gt;0-6-13-15&lt;br /&gt;
| 1-8/5-11/10
&lt;/td&gt;
| otonal
        &lt;td&gt;1-3/2-6/5-11/8&lt;br /&gt;
| 22.000044
&lt;/td&gt;
| 1/1-11/10-8/
        &lt;td&gt;keenanismic&lt;br /&gt;
| 1/1-16/11-20/11
&lt;/td&gt;
| 1/1-5/4-11/
        &lt;td&gt;15.324216&lt;br /&gt;
|-
&lt;/td&gt;
| 57
    &lt;/tr&gt;
| 0-8-22
    &lt;tr&gt;
| 1-12/7-11/10
        &lt;td&gt;43&lt;br /&gt;
| swetismic
&lt;/td&gt;
| 22.000088
        &lt;td&gt;0-7-13-15&lt;br /&gt;
| 1/1-11/10-12/
&lt;/td&gt;
| 1/1-14/9-20/11
        &lt;td&gt;1-8/5-6/5-11/8&lt;br /&gt;
| 1/1-7/6-9/
&lt;/td&gt;
|-
        &lt;td&gt;keenanismic&lt;br /&gt;
| 58
&lt;/td&gt;
| 0-9-22
        &lt;td&gt;15.326465&lt;br /&gt;
| 1-11/6-11/10
&lt;/td&gt;
| utonal
    &lt;/tr&gt;
| 22.000176
    &lt;tr&gt;
| 1/1-11/10-11/6 
        &lt;td&gt;44&lt;br /&gt;
| 1/1-5/3-20/11
&lt;/td&gt;
| 1/1-12/11-6/5
        &lt;td&gt;0-8-13-15&lt;br /&gt;
|-
&lt;/td&gt;
| 59
        &lt;td&gt;1-12/7-6/5-11/8&lt;br /&gt;
| 0-13-22
&lt;/td&gt;
| 1-6/5-11/10
        &lt;td&gt;keenanismic&lt;br /&gt;
| otonal
&lt;/td&gt;
| 22.002815
        &lt;td&gt;15.330952&lt;br /&gt;
| 1/1-11/10-6/5 
&lt;/td&gt;
| 1/1-12/11-20/11
    &lt;/tr&gt;
| 1/1-5/3-11/
    &lt;tr&gt;
|-
        &lt;td&gt;45&lt;br /&gt;
| 60
&lt;/td&gt;
| 0-14-22
        &lt;td&gt;0-2-5-17&lt;br /&gt;
| 1-9/7-11/10
&lt;/td&gt;
| swetismic
        &lt;td&gt;1-8/7-7/5-11/7&lt;br /&gt;
| 22.005625
&lt;/td&gt;
| 1/1-11/10-9/
        &lt;td&gt;werckismic&lt;br /&gt;
| 1/1-7/6-20/11
&lt;/td&gt;
| 1/1-14/9-12/
        &lt;td&gt;17.000407&lt;br /&gt;
|-
&lt;/td&gt;
| 61
    &lt;/tr&gt;
| 0-15-22
    &lt;tr&gt;
| 1-11/8-11/10
        &lt;td&gt;46&lt;br /&gt;
| utonal
&lt;/td&gt;
| 22.011228
        &lt;td&gt;0-3-5-17&lt;br /&gt;
| 1/1-11/10-11/
&lt;/td&gt;
| 1/1-5/4-20/11
        &lt;td&gt;1-11/9-7/5-11/7&lt;br /&gt;
| 1/1-16/11-8/5
&lt;/td&gt;
|-
        &lt;td&gt;werckismic&lt;br /&gt;
| 62
&lt;/td&gt;
| 0-17-22
        &lt;td&gt;17.000451&lt;br /&gt;
| 1-11/7-11/10
&lt;/td&gt;
| utonal
    &lt;/tr&gt;
| 22.044394
    &lt;tr&gt;
| 1/1-11/10-11/
        &lt;td&gt;47&lt;br /&gt;
| 1/1-10/7-20/11
&lt;/td&gt;
| 1/1-14/11-7/
        &lt;td&gt;0-2-8-17&lt;br /&gt;
|-
&lt;/td&gt;
| 63
        &lt;td&gt;1-8/7-12/7-11/7&lt;br /&gt;
| 0-19-22
&lt;/td&gt;
| 1-9/5-11/10
        &lt;td&gt;otonal&lt;br /&gt;
| otonal
&lt;/td&gt;
| 22.169925
        &lt;td&gt;17.002870&lt;br /&gt;
| 1/1-11/10-9/
&lt;/td&gt;
| 1/1-18/11-20/11
    &lt;/tr&gt;
| 1/1-10/9-11/
    &lt;tr&gt;
|}
        &lt;td&gt;48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-12/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.002914&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;0-5-8-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.003177&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;0-2-9-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-11/6-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.005679&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;0-3-9-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.005723&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;0-3-12-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.044490&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;0-5-12-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;prodigy&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.044746&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;0-9-12-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.049859&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;0-2-14-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-9/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.169974&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;0-5-14-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.170248&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;0-8-14-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-9/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.172437&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;0-9-14-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.174935&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;0-12-14-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-9/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.209463&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;0-2-15-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-11/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.321972&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;0-3-15-17&lt;br /&gt;
&lt;/td&gt;
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        &lt;td&gt;utonal&lt;br /&gt;
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        &lt;td&gt;17.322007&lt;br /&gt;
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    &lt;/tr&gt;
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        &lt;td&gt;62&lt;br /&gt;
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        &lt;td&gt;keenanismic&lt;br /&gt;
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        &lt;td&gt;17.324189&lt;br /&gt;
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    &lt;/tr&gt;
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        &lt;td&gt;63&lt;br /&gt;
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        &lt;td&gt;utonal&lt;br /&gt;
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        &lt;td&gt;17.326438&lt;br /&gt;
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        &lt;td&gt;64&lt;br /&gt;
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        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;17.357561&lt;br /&gt;
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    &lt;/tr&gt;
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        &lt;td&gt;65&lt;br /&gt;
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        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;19.000102&lt;br /&gt;
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    &lt;/tr&gt;
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        &lt;td&gt;66&lt;br /&gt;
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        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;19.000366&lt;br /&gt;
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    &lt;/tr&gt;
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        &lt;td&gt;67&lt;br /&gt;
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        &lt;td&gt;otonal&lt;br /&gt;
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        &lt;td&gt;19.000443&lt;br /&gt;
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        &lt;td&gt;68&lt;br /&gt;
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        &lt;td&gt;marvel&lt;br /&gt;
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        &lt;td&gt;19.011317&lt;br /&gt;
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        &lt;td&gt;69&lt;br /&gt;
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        &lt;td&gt;utonal&lt;br /&gt;
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        &lt;td&gt;19.011405&lt;br /&gt;
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        &lt;td&gt;70&lt;br /&gt;
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        &lt;td&gt;marvel&lt;br /&gt;
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        &lt;td&gt;19.011579&lt;br /&gt;
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        &lt;td&gt;71&lt;br /&gt;
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        &lt;td&gt;otonal&lt;br /&gt;
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        &lt;td&gt;19.022457&lt;br /&gt;
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        &lt;td&gt;72&lt;br /&gt;
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        &lt;td&gt;0-6-13-19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-6/5-9/5&lt;br /&gt;
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        &lt;td&gt;ambitonal&lt;br /&gt;
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        &lt;td&gt;19.022544&lt;br /&gt;
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        &lt;td&gt;73&lt;br /&gt;
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&lt;/td&gt;
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        &lt;td&gt;otonal&lt;br /&gt;
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        &lt;td&gt;19.022717&lt;br /&gt;
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        &lt;td&gt;74&lt;br /&gt;
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        &lt;td&gt;0-2-14-19&lt;br /&gt;
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        &lt;td&gt;1-8/7-9/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;19.044407&lt;br /&gt;
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        &lt;td&gt;75&lt;br /&gt;
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&lt;/td&gt;
        &lt;td&gt;1-7/5-9/7-9/5&lt;br /&gt;
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        &lt;td&gt;swetismic&lt;br /&gt;
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        &lt;td&gt;19.044482&lt;br /&gt;
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        &lt;td&gt;76&lt;br /&gt;
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        &lt;td&gt;utonal&lt;br /&gt;
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        &lt;td&gt;19.044568&lt;br /&gt;
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        &lt;td&gt;77&lt;br /&gt;
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&lt;/td&gt;
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        &lt;td&gt;marvel&lt;br /&gt;
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        &lt;td&gt;19.044738&lt;br /&gt;
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        &lt;td&gt;78&lt;br /&gt;
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        &lt;td&gt;utonal&lt;br /&gt;
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        &lt;td&gt;19.055285&lt;br /&gt;
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        &lt;td&gt;79&lt;br /&gt;
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        &lt;td&gt;1-8/7-11/7-9/5&lt;br /&gt;
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        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;19.321939&lt;br /&gt;
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    &lt;/tr&gt;
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        &lt;td&gt;80&lt;br /&gt;
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        &lt;td&gt;1-7/5-11/7-9/5&lt;br /&gt;
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        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;19.322001&lt;br /&gt;
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    &lt;tr&gt;
        &lt;td&gt;81&lt;br /&gt;
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&lt;/td&gt;
        &lt;td&gt;1-9/8-11/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;19.330919&lt;br /&gt;
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    &lt;tr&gt;
        &lt;td&gt;82&lt;br /&gt;
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&lt;/td&gt;
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&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;19.357554&lt;br /&gt;
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        &lt;td&gt;83&lt;br /&gt;
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        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;22.000014&lt;br /&gt;
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        &lt;td&gt;84&lt;br /&gt;
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        &lt;td&gt;otonal&lt;br /&gt;
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        &lt;td&gt;22.000055&lt;br /&gt;
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        &lt;td&gt;85&lt;br /&gt;
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        &lt;td&gt;swetismic&lt;br /&gt;
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        &lt;td&gt;22.000091&lt;br /&gt;
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        &lt;td&gt;86&lt;br /&gt;
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        &lt;td&gt;swetismic&lt;br /&gt;
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        &lt;td&gt;22.000099&lt;br /&gt;
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        &lt;td&gt;87&lt;br /&gt;
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        &lt;td&gt;88&lt;br /&gt;
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        &lt;td&gt;keenanismic&lt;br /&gt;
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        &lt;td&gt;89&lt;br /&gt;
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        &lt;td&gt;otonal&lt;br /&gt;
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        &lt;td&gt;22.002826&lt;br /&gt;
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        &lt;td&gt;90&lt;br /&gt;
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        &lt;td&gt;22.002859&lt;br /&gt;
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        &lt;td&gt;91&lt;br /&gt;
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        &lt;td&gt;swetismic&lt;br /&gt;
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        &lt;td&gt;22.002903&lt;br /&gt;
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        &lt;td&gt;92&lt;br /&gt;
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        &lt;td&gt;swetismic&lt;br /&gt;
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        &lt;td&gt;22.005636&lt;br /&gt;
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        &lt;td&gt;unimarvel&lt;br /&gt;
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        &lt;td&gt;swetismic&lt;br /&gt;
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        &lt;td&gt;22.005713&lt;br /&gt;
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        &lt;td&gt;95&lt;br /&gt;
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        &lt;td&gt;swetismic&lt;br /&gt;
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        &lt;td&gt;22.005800&lt;br /&gt;
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        &lt;td&gt;96&lt;br /&gt;
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        &lt;td&gt;utonal&lt;br /&gt;
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        &lt;td&gt;22.011230&lt;br /&gt;
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        &lt;td&gt;97&lt;br /&gt;
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        &lt;td&gt;keenanismic&lt;br /&gt;
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        &lt;td&gt;22.011271&lt;br /&gt;
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        &lt;td&gt;98&lt;br /&gt;
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        &lt;td&gt;unimarvel&lt;br /&gt;
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        &lt;td&gt;22.011315&lt;br /&gt;
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        &lt;td&gt;utonal&lt;br /&gt;
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        &lt;td&gt;22.011402&lt;br /&gt;
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    &lt;tr&gt;
        &lt;td&gt;100&lt;br /&gt;
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        &lt;td&gt;keenanismic&lt;br /&gt;
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        &lt;td&gt;22.014021&lt;br /&gt;
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    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;101&lt;br /&gt;
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        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.044397&lt;br /&gt;
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    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;102&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.044405&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;0-8-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.044480&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;0-9-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.044565&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;0-14-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.049849&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;0-15-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/8-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.055283&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;0-5-19-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.169935&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;0-7-19-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.169964&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;109&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-13-19-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.172428&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;110&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-14-19-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.174926&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;111&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-17-19-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/7-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.209454&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
== Tetrads ==
&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;
{| class="wikitable center-1"
|-
! #
! Chord
! Transversal
! Type
! Hash
! As generated
! First inversion
! Second inversion
! Third inversion
|-
| 1
| 0-2-5-7
| 1-8/7-7/5-8/5
| werckismic
| 7.366322
| 1/1-8/7-7/5-8/5 
| 1/1-11/9-7/5-7/4 
| 1/1-8/7-10/7-18/11
| 1/1-5/4-10/7-7/4 
|-
| 2
| 0-2-5-8
| 1-8/7-7/5-12/7
| jove
| 8.194757
| 1/1-8/7-7/5-12/7 
| 1/1-11/9-3/2-7/4 
| 1/1-11/9-10/7-18/11
| 1/1-7/6-4/3-18/11
|-
| 3
| 0-3-5-8
| 1-11/9-7/5-12/7
| jove
| 8.214319
| 1/1-11/9-7/5-12/7 
| 1/1-8/7-7/5-18/11
| 1/1-11/9-10/7-7/4 
| 1/1-7/6-10/7-18/11
|-
| 4
| 0-3-6-8
| 1-11/9-3/2-12/7
| jove
| 8.361944
| 1/1-11/9-3/2-12/7 
| 1/1-11/9-7/5-18/11
| 1/1-8/7-4/3-18/11
| 1/1-7/6-10/7-7/4 
|-
| 5
| 0-3-6-9
| 1-11/9-3/2-11/6
| rastmic
| 9.192293
| 1/1-11/9-3/2-11/6 
| 1/1-11/9-3/2-18/11
| 1/1-11/9-4/3-18/11
| 1/1-12/11-4/3-18/11
|-
| 6
| 0-2-7-9
| 1-8/7-8/5-11/6
| keenanismic
| 9.333155
| 1/1-8/7-8/5-11/6 
| 1/1-7/5-8/5-7/4 
| 1/1-8/7-5/4-10/7 
| 1/1-12/11-5/4-7/4 
|-
| 7
| 0-3-5-12
| 1-11/9-7/5-9/8
| miracle
| 12.014369
| 1/1-9/8-11/9-7/5 
| 1/1-12/11-5/4-16/9 
| 1/1-8/7-18/11-11/6 
| 1/1-10/7-8/5-7/4 
|-
| 8
| 0-3-6-12
| 1-11/9-3/2-9/8
| rastmic
| 12.025486
| 1/1-9/8-11/9-3/2 
| 1/1-12/11-4/3-16/9 
| 1/1-11/9-18/11-11/6 
| 1/1-4/3-3/2-18/11
|-
| 9
| 0-5-7-12
| 1-7/5-8/5-9/8
| marvel
| 12.055621
| 1/1-9/8-7/5-8/5 
| 1/1-5/4-10/7-16/9 
| 1/1-8/7-10/7-8/5 
| 1/1-5/4-7/5-7/4 
|-
| 10
| 0-3-9-12
| 1-11/9-11/6-9/8
| rastmic
| 12.172740
| 1/1-9/8-11/9-11/6 
| 1/1-12/11-18/11-16/9 
| 1/1-3/2-18/11-11/6 
| 1/1-12/11-11/9-4/3 
|-
| 11
| 0-6-9-12
| 1-3/2-11/6-9/8
| rastmic
| 12.190133
| 1/1-9/8-3/2-11/6 
| 1/1-4/3-18/11-16/9 
| 1/1-11/9-4/3-3/2 
| 1/1-12/11-11/9-18/11
|-
| 12
| 0-7-9-12
| 1-8/5-11/6-9/8
| miracle
| 12.209758
| 1/1-9/8-8/5-11/6 
| 1/1-10/7-18/11-16/9 
| 1/1-8/7-5/4-7/5 
| 1/1-12/11-11/9-7/4 
|-
| 13
| 0-5-7-13
| 1-7/5-8/5-6/5
| otonal
| 13.028079
| 1/1-6/5-7/5-8/5 
| 1/1-7/6-4/3-5/3 
| 1/1-8/7-10/7-12/7 
| 1/1-5/4-3/2-7/4 
|-
| 14
| 0-5-8-13
| 1-7/5-12/7-6/5
| swetismic
| 13.050019
| 1/1-6/5-7/5-12/7 
| 1/1-7/6-10/7-5/3 
| 1/1-11/9-10/7-12/7 
| 1/1-7/6-7/5-18/11
|-
| 15
| 0-6-8-13
| 1-3/2-12/7-6/5
| utonal
| 13.055452
| 1/1-6/5-3/2-12/7 
| 1/1-5/4-10/7-5/3 
| 1/1-8/7-4/3-8/5 
| 1/1-7/6-7/5-7/4 
|-
| 16
| 0-2-5-14
| 1-8/7-7/5-9/7
| jove
| 14.003254
| 1/1-8/7-9/7-7/5 
| 1/1-9/8-11/9-7/4 
| 1/1-12/11-14/9-16/9 
| 1/1-10/7-18/11-11/6 
|-
| 17
| 0-2-7-14
| 1-8/7-8/5-9/7
| marvel
| 14.011664
| 1/1-8/7-9/7-8/5 
| 1/1-9/8-7/5-7/4 
| 1/1-5/4-14/9-16/9 
| 1/1-5/4-10/7-8/5 
|-
| 18
| 0-5-7-14
| 1-7/5-8/5-9/7
| unimarvel
| 14.014108
| 1/1-9/7-7/5-8/5 
| 1/1-12/11-5/4-14/9 
| 1/1-8/7-10/7-11/6 
| 1/1-5/4-8/5-7/4 
|-
| 19
| 0-2-8-14
| 1-8/7-12/7-9/7
| otonal
| 14.022801
| 1/1-8/7-9/7-12/7 
| 1/1-9/8-3/2-7/4 
| 1/1-4/3-14/9-16/9 
| 1/1-7/6-4/3-3/2 
|-
| 20
| 0-5-8-14
| 1-7/5-12/7-9/7
| swetismic
| 14.025226
| 1/1-9/7-7/5-12/7 
| 1/1-12/11-4/3-14/9 
| 1/1-11/9-10/7-11/6 
| 1/1-7/6-3/2-18/11
|-
| 21
| 0-6-8-14
| 1-3/2-12/7-9/7
| ambitonal
| 14.027992
| 1/1-9/7-3/2-12/7 
| 1/1-7/6-4/3-14/9 
| 1/1-8/7-4/3-12/7 
| 1/1-7/6-3/2-7/4 
|-
| 22
| 0-2-9-14
| 1-8/7-11/6-9/7
| unimarvel
| 14.044821
| 1/1-8/7-9/7-11/6 
| 1/1-9/8-8/5-7/4 
| 1/1-10/7-14/9-16/9 
| 1/1-12/11-5/4-7/5 
|-
| 23
| 0-6-9-14
| 1-3/2-11/6-9/7
| swetismic
| 14.049934
| 1/1-9/7-3/2-11/6 
| 1/1-7/6-10/7-14/9 
| 1/1-11/9-4/3-12/7 
| 1/1-12/11-7/5-18/11
|-
| 24
| 0-7-9-14
| 1-8/5-11/6-9/7
| unimarvel
| 14.055367
| 1/1-9/7-8/5-11/6 
| 1/1-5/4-10/7-14/9 
| 1/1-8/7-5/4-8/5 
| 1/1-12/11-7/5-7/4 
|-
| 25
| 0-5-12-14
| 1-7/5-9/8-9/7
| unimarvel
| 14.324251
| 1/1-9/8-9/7-7/5 
| 1/1-8/7-5/4-16/9 
| 1/1-12/11-14/9-7/4 
| 1/1-10/7-8/5-11/6 
|-
| 26
| 0-6-12-14
| 1-3/2-9/8-9/7
| utonal
| 14.326500
| 1/1-9/8-9/7-3/2 
| 1/1-8/7-4/3-16/9 
| 1/1-7/6-14/9-7/4 
| 1/1-4/3-3/2-12/7 
|-
| 27
| 0-7-12-14
| 1-8/5-9/8-9/7
| marvel
| 14.330987
| 1/1-9/8-9/7-8/5 
| 1/1-8/7-10/7-16/9 
| 1/1-5/4-14/9-7/4 
| 1/1-5/4-7/5-8/5 
|-
| 28
| 0-9-12-14
| 1-11/6-9/8-9/7
| jove
| 14.357621
| 1/1-9/8-9/7-11/6 
| 1/1-8/7-18/11-16/9 
| 1/1-10/7-14/9-7/4 
| 1/1-12/11-11/9-7/5 
|-
| 29
| 0-3-6-15
| 1-11/9-3/2-11/8
| rastmic
| 15.003210
| 1/1-11/9-11/8-3/2 
| 1/1-9/8-11/9-18/11
| 1/1-12/11-16/11-16/9 
| 1/1-4/3-18/11-11/6 
|-
| 30
| 0-2-7-15
| 1-8/7-8/5-11/8
| keenanismic
| 15.005844
| 1/1-8/7-11/8-8/5 
| 1/1-6/5-7/5-7/4 
| 1/1-7/6-16/11-5/3 
| 1/1-5/4-10/7-12/7 
|-
| 31
| 0-2-8-15
| 1-8/7-12/7-11/8
| keenanismic
| 15.011446
| 1/1-8/7-11/8-12/7 
| 1/1-6/5-3/2-7/4 
| 1/1-5/4-16/11-5/3 
| 1/1-7/6-4/3-8/5 
|-
| 32
| 0-3-8-15
| 1-11/9-12/7-11/8
| unimarvel
| 15.011620
| 1/1-11/9-11/8-12/7 
| 1/1-9/8-7/5-18/11
| 1/1-5/4-16/11-16/9 
| 1/1-7/6-10/7-8/5 
|-
| 33
| 0-6-8-15
| 1-3/2-12/7-11/8
| keenanismic
| 15.014064
| 1/1-11/8-3/2-12/7 
| 1/1-12/11-5/4-16/11
| 1/1-8/7-4/3-11/6 
| 1/1-7/6-8/5-7/4 
|-
| 34
| 0-2-9-15
| 1-8/7-11/6-11/8
| keenanismic
| 15.022585
| 1/1-8/7-11/8-11/6 
| 1/1-6/5-8/5-7/4 
| 1/1-4/3-16/11-5/3 
| 1/1-12/11-5/4-3/2 
|-
| 35
| 0-3-9-15
| 1-11/9-11/6-11/8
| utonal
| 15.022758
| 1/1-11/9-11/8-11/6 
| 1/1-9/8-3/2-18/11
| 1/1-4/3-16/11-16/9 
| 1/1-12/11-4/3-3/2 
|-
| 36
| 0-6-9-15
| 1-3/2-11/6-11/8
| ambitonal
| 15.025183
| 1/1-11/8-3/2-11/6 
| 1/1-12/11-4/3-16/11
| 1/1-11/9-4/3-11/6 
| 1/1-12/11-3/2-18/11
|-
| 37
| 0-7-9-15
| 1-8/5-11/6-11/8
| keenanismic
| 15.027949
| 1/1-11/8-8/5-11/6 
| 1/1-7/6-4/3-16/11
| 1/1-8/7-5/4-12/7 
| 1/1-12/11-3/2-7/4 
|-
| 38
| 0-3-12-15
| 1-11/9-9/8-11/8
| rastmic
| 15.170277
| 1/1-9/8-11/9-11/8 
| 1/1-11/10-11/9-16/9 
| 1/1-9/8-18/11-11/6 
| 1/1-16/11-18/11-16/9 
|-
| 39
| 0-6-12-15
| 1-3/2-9/8-11/8
| otonal
| 15.172467
| 1/1-9/8-11/8-3/2 
| 1/1-11/9-4/3-16/9 
| 1/1-12/11-16/11-18/11
| 1/1-4/3-3/2-11/6 
|-
| 40
| 0-7-12-15
| 1-8/5-9/8-11/8
| unimarvel
| 15.174965
| 1/1-9/8-11/8-8/5 
| 1/1-11/9-10/7-16/9 
| 1/1-7/6-16/11-18/11
| 1/1-5/4-7/5-12/7 
|-
| 41
| 0-9-12-15
| 1-11/6-9/8-11/8
| rastmic
| 15.189863
| 1/1-9/8-11/8-11/6 
| 1/1-11/9-18/11-16/9 
| 1/1-4/3-16/11-18/11
| 1/1-12/11-11/9-3/2 
|-
| 42
| 0-6-13-15
| 1-3/2-6/5-11/8
| keenanismic
| 15.324216
| 1/1-6/5-11/8-3/2 
| 1/1-8/7-5/4-5/3 
| 1/1-12/11-16/11-7/4 
| 1/1-4/3-8/5-11/6 
|-
| 43
| 0-7-13-15
| 1-8/5-6/5-11/8
| keenanismic
| 15.326465
| 1/1-6/5-11/8-8/5 
| 1/1-8/7-4/3-5/3 
| 1/1-7/6-16/11-7/4 
| 1/1-5/4-3/2-12/7 
|-
| 44
| 0-8-13-15
| 1-12/7-6/5-11/8
| keenanismic
| 15.330952
| 1/1-6/5-11/8-12/7 
| 1/1-8/7-10/7-5/3 
| 1/1-5/4-16/11-7/4 
| 1/1-7/6-7/5-8/5 
|-
| 45
| 0-2-5-17
| 1-8/7-7/5-11/7
| werckismic
| 17.000407
| 1/1-8/7-7/5-11/7 
| 1/1-11/9-11/8-7/4 
| 1/1-9/8-10/7-18/11
| 1/1-14/11-16/11-16/9 
|-
| 46
| 0-3-5-17
| 1-11/9-7/5-11/7
| werckismic
| 17.000451
| 1/1-11/9-7/5-11/7 
| 1/1-8/7-9/7-18/11
| 1/1-9/8-10/7-7/4 
| 1/1-14/11-14/9-16/9 
|-
| 47
| 0-2-8-17
| 1-8/7-12/7-11/7
| otonal
| 17.002870
| 1/1-8/7-11/7-12/7 
| 1/1-11/8-3/2-7/4 
| 1/1-12/11-14/11-16/11
| 1/1-7/6-4/3-11/6 
|-
| 48
| 0-3-8-17
| 1-11/9-12/7-11/7
| swetismic
| 17.002914
| 1/1-11/9-11/7-12/7 
| 1/1-9/7-7/5-18/11
| 1/1-12/11-14/11-14/9 
| 1/1-7/6-10/7-11/6 
|-
| 49
| 0-5-8-17
| 1-7/5-12/7-11/7
| jove
| 17.003177
| 1/1-7/5-11/7-12/7 
| 1/1-9/8-11/9-10/7 
| 1/1-12/11-14/11-16/9 
| 1/1-7/6-18/11-11/6 
|-
| 50
| 0-2-9-17
| 1-8/7-11/6-11/7
| keenanismic
| 17.005679
| 1/1-8/7-11/7-11/6 
| 1/1-11/8-8/5-7/4 
| 1/1-7/6-14/11-16/11
| 1/1-12/11-5/4-12/7 
|-
| 51
| 0-3-9-17
| 1-11/9-11/6-11/7
| utonal
| 17.005723
| 1/1-11/9-11/7-11/6 
| 1/1-9/7-3/2-18/11
| 1/1-7/6-14/11-14/9 
| 1/1-12/11-4/3-12/7 
|-
| 52
| 0-3-12-17
| 1-11/9-9/8-11/7
| jove
| 17.044490
| 1/1-9/8-11/9-11/7 
| 1/1-12/11-7/5-16/9 
| 1/1-9/7-18/11-11/6 
| 1/1-14/11-10/7-14/9 
|-
| 53
| 0-5-12-17
| 1-7/5-9/8-11/7
| prodigy
| 17.044746
| 1/1-9/8-7/5-11/7 
| 1/1-5/4-7/5-16/9 
| 1/1-9/8-10/7-8/5 
| 1/1-14/11-10/7-16/9 
|-
| 54
| 0-9-12-17
| 1-11/6-9/8-11/7
| jove
| 17.049859
| 1/1-9/8-11/7-11/6 
| 1/1-7/5-18/11-16/9 
| 1/1-7/6-14/11-10/7 
| 1/1-12/11-11/9-12/7 
|-
| 55
| 0-2-14-17
| 1-8/7-9/7-11/7
| otonal
| 17.169974
| 1/1-8/7-9/7-11/7 
| 1/1-9/8-11/8-7/4 
| 1/1-11/9-14/9-16/9 
| 1/1-14/11-16/11-18/11
|-
| 56
| 0-5-14-17
| 1-7/5-9/7-11/7
| jove
| 17.170248
| 1/1-9/7-7/5-11/7 
| 1/1-12/11-11/9-14/9 
| 1/1-9/8-10/7-11/6 
| 1/1-14/11-18/11-16/9 
|-
| 57
| 0-8-14-17
| 1-12/7-9/7-11/7
| otonal
| 17.172437
| 1/1-9/7-11/7-12/7 
| 1/1-11/9-4/3-14/9 
| 1/1-12/11-14/11-18/11
| 1/1-7/6-3/2-11/6 
|-
| 58
| 0-9-14-17
| 1-11/6-9/7-11/7
| swetismic
| 17.174935
| 1/1-9/7-11/7-11/6 
| 1/1-11/9-10/7-14/9 
| 1/1-7/6-14/11-18/11
| 1/1-12/11-7/5-12/7 
|-
| 59
| 0-12-14-17
| 1-9/8-9/7-11/7
| werckismic
| 17.209463
| 1/1-9/8-9/7-11/7 
| 1/1-8/7-7/5-16/9 
| 1/1-11/9-14/9-7/4 
| 1/1-14/11-10/7-18/11
|-
| 60
| 0-2-15-17
| 1-8/7-11/8-11/7
| keenanismic
| 17.321972
| 1/1-8/7-11/8-11/7 
| 1/1-6/5-11/8-7/4 
| 1/1-8/7-16/11-5/3 
| 1/1-14/11-16/11-7/4 
|-
| 61
| 0-3-15-17
| 1-11/9-11/8-11/7
| utonal
| 17.322007
| 1/1-11/9-11/8-11/7 
| 1/1-9/8-9/7-18/11
| 1/1-8/7-16/11-16/9 
| 1/1-14/11-14/9-7/4 
|-
| 62
| 0-8-15-17
| 1-12/7-11/8-11/7
| keenanismic
| 17.324189
| 1/1-11/8-11/7-12/7 
| 1/1-8/7-5/4-16/11
| 1/1-12/11-14/11-7/4 
| 1/1-7/6-8/5-11/6 
|-
| 63
| 0-9-15-17
| 1-11/6-11/8-11/7
| utonal
| 17.326438
| 1/1-11/8-11/7-11/6 
| 1/1-8/7-4/3-16/11
| 1/1-7/6-14/11-7/4 
| 1/1-12/11-3/2-12/7 
|-
| 64
| 0-12-15-17
| 1-9/8-11/8-11/7
| werckismic
| 17.357561
| 1/1-9/8-11/8-11/7 
| 1/1-11/9-7/5-16/9 
| 1/1-8/7-16/11-18/11
| 1/1-14/11-10/7-7/4 
|-
| 65
| 0-2-5-19
| 1-8/7-7/5-9/5
| werckismic
| 19.000102
| 1/1-8/7-7/5-9/5 
| 1/1-11/9-11/7-7/4 
| 1/1-9/7-10/7-18/11
| 1/1-10/9-14/11-14/9 
|-
| 66
| 0-2-7-19
| 1-8/7-8/5-9/5
| werckismic
| 19.000366
| 1/1-8/7-8/5-9/5 
| 1/1-7/5-11/7-7/4 
| 1/1-9/8-5/4-10/7 
| 1/1-10/9-14/11-16/9 
|-
| 67
| 0-5-7-19
| 1-7/5-8/5-9/5
| otonal
| 19.000443
| 1/1-7/5-8/5-9/5 
| 1/1-8/7-9/7-10/7 
| 1/1-9/8-5/4-7/4 
| 1/1-10/9-14/9-16/9 
|-
| 68
| 0-5-12-19
| 1-7/5-9/8-9/5
| marvel
| 19.011317
| 1/1-9/8-7/5-9/5 
| 1/1-5/4-8/5-16/9 
| 1/1-9/7-10/7-8/5 
| 1/1-10/9-5/4-14/9 
|-
| 69
| 0-6-12-19
| 1-3/2-9/8-9/5
| utonal
| 19.011405
| 1/1-9/8-3/2-9/5 
| 1/1-4/3-8/5-16/9 
| 1/1-6/5-4/3-3/2 
| 1/1-10/9-5/4-5/3 
|-
| 70
| 0-7-12-19
| 1-8/5-9/8-9/5
| marvel
| 19.011579
| 1/1-9/8-8/5-9/5 
| 1/1-10/7-8/5-16/9 
| 1/1-9/8-5/4-7/5 
| 1/1-10/9-5/4-16/9 
|-
| 71
| 0-5-13-19
| 1-7/5-6/5-9/5
| otonal
| 19.022457
| 1/1-6/5-7/5-9/5 
| 1/1-7/6-3/2-5/3 
| 1/1-9/7-10/7-12/7 
| 1/1-10/9-4/3-14/9 
|-
| 72
| 0-6-13-19
| 1-3/2-6/5-9/5
| ambitonal
| 19.022544
| 1/1-6/5-3/2-9/5 
| 1/1-5/4-3/2-5/3 
| 1/1-6/5-4/3-8/5 
| 1/1-10/9-4/3-5/3 
|-
| 73
| 0-7-13-19
| 1-8/5-6/5-9/5
| otonal
| 19.022717
| 1/1-6/5-8/5-9/5 
| 1/1-4/3-3/2-5/3 
| 1/1-9/8-5/4-3/2 
| 1/1-10/9-4/3-16/9 
|-
| 74
| 0-2-14-19
| 1-8/7-9/7-9/5
| werckismic
| 19.044407
| 1/1-8/7-9/7-9/5 
| 1/1-9/8-11/7-7/4 
| 1/1-7/5-14/9-16/9 
| 1/1-10/9-14/11-10/7 
|-
| 75
| 0-5-14-19
| 1-7/5-9/7-9/5
| swetismic
| 19.044482
| 1/1-9/7-7/5-9/5 
| 1/1-12/11-7/5-14/9 
| 1/1-9/7-10/7-11/6 
| 1/1-10/9-10/7-14/9 
|-
| 76
| 0-6-14-19
| 1-3/2-9/7-9/5
| utonal
| 19.044568
| 1/1-9/7-3/2-9/5 
| 1/1-7/6-7/5-14/9 
| 1/1-6/5-4/3-12/7 
| 1/1-10/9-10/7-5/3 
|-
| 77
| 0-7-14-19
| 1-8/5-9/7-9/5
| marvel
| 19.044738
| 1/1-9/7-8/5-9/5 
| 1/1-5/4-7/5-14/9 
| 1/1-9/8-5/4-8/5 
| 1/1-10/9-10/7-16/9 
|-
| 78
| 0-12-14-19
| 1-9/8-9/7-9/5
| utonal
| 19.055285
| 1/1-9/8-9/7-9/5 
| 1/1-8/7-8/5-16/9 
| 1/1-7/5-14/9-7/4 
| 1/1-10/9-5/4-10/7 
|-
| 79
| 0-2-17-19
| 1-8/7-11/7-9/5
| werckismic
| 19.321939
| 1/1-8/7-11/7-9/5 
| 1/1-11/8-11/7-7/4 
| 1/1-8/7-14/11-16/11
| 1/1-10/9-14/11-7/4 
|-
| 80
| 0-5-17-19
| 1-7/5-11/7-9/5
| werckismic
| 19.322001
| 1/1-7/5-11/7-9/5 
| 1/1-9/8-9/7-10/7 
| 1/1-8/7-14/11-16/9 
| 1/1-10/9-14/9-7/4 
|-
| 81
| 0-12-17-19
| 1-9/8-11/7-9/5
| werckismic
| 19.330919
| 1/1-9/8-11/7-9/5 
| 1/1-7/5-8/5-16/9 
| 1/1-8/7-14/11-10/7 
| 1/1-10/9-5/4-7/4 
|-
| 82
| 0-14-17-19
| 1-9/7-11/7-9/5
| werckismic
| 19.357554
| 1/1-9/7-11/7-9/5 
| 1/1-11/9-7/5-14/9 
| 1/1-8/7-14/11-18/11
| 1/1-10/9-10/7-7/4 
|-
| 83
| 0-3-5-22
| 1-11/9-7/5-11/10
| werckismic
| 22.000014
| 1/1-11/10-11/9-7/5 
| 1/1-10/9-14/11-20/11
| 1/1-8/7-18/11-9/5 
| 1/1-10/7-11/7-7/4 
|-
| 84
| 0-5-7-22
| 1-7/5-8/5-11/10
| otonal
| 22.000055
| 1/1-11/10-7/5-8/5 
| 1/1-14/11-16/11-20/11
| 1/1-8/7-10/7-11/7 
| 1/1-5/4-11/8-7/4 
|-
| 85
| 0-3-8-22
| 1-11/9-12/7-11/10
| swetismic
| 22.000091
| 1/1-11/10-11/9-12/7 
| 1/1-10/9-14/9-20/11
| 1/1-7/5-18/11-9/5 
| 1/1-7/6-9/7-10/7 
|-
| 86
| 0-5-8-22
| 1-7/5-12/7-11/10
| swetismic
| 22.000099
| 1/1-11/10-7/5-12/7 
| 1/1-14/11-14/9-20/11
| 1/1-11/9-10/7-11/7 
| 1/1-7/6-9/7-18/11
|-
| 87
| 0-3-9-22
| 1-11/9-11/6-11/10
| utonal
| 22.000179
| 1/1-11/10-11/9-11/6 
| 1/1-10/9-5/3-20/11
| 1/1-3/2-18/11-9/5 
| 1/1-12/11-6/5-4/3 
|-
| 88
| 0-7-9-22
| 1-8/5-11/6-11/10
| keenanismic
| 22.000220
| 1/1-11/10-8/5-11/6 
| 1/1-16/11-5/3-20/11
| 1/1-8/7-5/4-11/8 
| 1/1-12/11-6/5-7/4 
|-
| 89
| 0-5-13-22
| 1-7/5-6/5-11/10
| otonal
| 22.002826
| 1/1-11/10-6/5-7/5 
| 1/1-12/11-14/11-20/11
| 1/1-7/6-5/3-11/6 
| 1/1-10/7-11/7-12/7 
|-
| 90
| 0-7-13-22
| 1-8/5-6/5-11/10
| otonal
| 22.002859
| 1/1-11/10-6/5-8/5 
| 1/1-12/11-16/11-20/11
| 1/1-4/3-5/3-11/6 
| 1/1-5/4-11/8-3/2 
|-
| 91
| 0-8-13-22
| 1-12/7-6/5-11/10
| swetismic
| 22.002903
| 1/1-11/10-6/5-12/7 
| 1/1-12/11-14/9-20/11
| 1/1-10/7-5/3-11/6 
| 1/1-7/6-9/7-7/5 
|-
| 92
| 0-5-14-22
| 1-7/5-9/7-11/10
| swetismic
| 22.005636
| 1/1-11/10-9/7-7/5 
| 1/1-7/6-14/11-20/11
| 1/1-12/11-14/9-12/7 
| 1/1-10/7-11/7-11/6 
|-
| 93
| 0-7-14-22
| 1-8/5-9/7-11/10
| unimarvel
| 22.005669
| 1/1-11/10-9/7-8/5 
| 1/1-7/6-16/11-20/11
| 1/1-5/4-14/9-12/7 
| 1/1-5/4-11/8-8/5 
|-
| 94
| 0-8-14-22
| 1-12/7-9/7-11/10
| swetismic
| 22.005713
| 1/1-11/10-9/7-12/7 
| 1/1-7/6-14/9-20/11
| 1/1-4/3-14/9-12/7 
| 1/1-7/6-9/7-3/2 
|-
| 95
| 0-9-14-22
| 1-11/6-9/7-11/10
| swetismic
| 22.005800
| 1/1-11/10-9/7-11/6 
| 1/1-7/6-5/3-20/11
| 1/1-10/7-14/9-12/7 
| 1/1-12/11-6/5-7/5 
|-
| 96
| 0-3-15-22
| 1-11/9-11/8-11/10
| utonal
| 22.011230
| 1/1-11/10-11/9-11/8 
| 1/1-10/9-5/4-20/11
| 1/1-9/8-18/11-9/5 
| 1/1-16/11-8/5-16/9 
|-
| 97
| 0-7-15-22
| 1-8/5-11/8-11/10
| keenanismic
| 22.011271
| 1/1-11/10-11/8-8/5 
| 1/1-5/4-16/11-20/11
| 1/1-7/6-16/11-8/5 
| 1/1-5/4-11/8-12/7 
|-
| 98
| 0-8-15-22
| 1-12/7-11/8-11/10
| unimarvel
| 22.011315
| 1/1-11/10-11/8-12/7 
| 1/1-5/4-14/9-20/11
| 1/1-5/4-16/11-8/5 
| 1/1-7/6-9/7-8/5 
|-
| 99
| 0-9-15-22
| 1-11/6-11/8-11/10
| utonal
| 22.011402
| 1/1-11/10-11/8-11/6 
| 1/1-5/4-5/3-20/11
| 1/1-4/3-16/11-8/5 
| 1/1-12/11-6/5-3/2 
|-
| 100
| 0-13-15-22
| 1-6/5-11/8-11/10
| keenanismic
| 22.014021
| 1/1-11/10-6/5-11/8 
| 1/1-12/11-5/4-20/11
| 1/1-8/7-5/3-11/6 
| 1/1-16/11-8/5-7/4 
|-
| 101
| 0-3-17-22
| 1-11/9-11/7-11/10
| utonal
| 22.044397
| 1/1-11/10-11/9-11/7 
| 1/1-10/9-10/7-20/11
| 1/1-9/7-18/11-9/5 
| 1/1-14/11-7/5-14/9 
|-
| 102
| 0-5-17-22
| 1-7/5-11/7-11/10
| werckismic
| 22.044405
| 1/1-11/10-7/5-11/7 
| 1/1-14/11-10/7-20/11
| 1/1-9/8-10/7-11/7 
| 1/1-14/11-7/5-16/9 
|-
| 103
| 0-8-17-22
| 1-12/7-11/7-11/10
| swetismic
| 22.044480
| 1/1-11/10-11/7-12/7 
| 1/1-10/7-14/9-20/11
| 1/1-12/11-14/11-7/5 
| 1/1-7/6-9/7-11/6 
|-
| 104
| 0-9-17-22
| 1-11/6-11/7-11/10
| utonal
| 22.044565
| 1/1-11/10-11/7-11/6 
| 1/1-10/7-5/3-20/11
| 1/1-7/6-14/11-7/5 
| 1/1-12/11-6/5-12/7 
|-
| 105
| 0-14-17-22
| 1-9/7-11/7-11/10
| swetismic
| 22.049849
| 1/1-11/10-9/7-11/7 
| 1/1-7/6-10/7-20/11
| 1/1-11/9-14/9-12/7 
| 1/1-14/11-7/5-18/11
|-
| 106
| 0-15-17-22
| 1-11/8-11/7-11/10
| utonal
| 22.055283
| 1/1-11/10-11/8-11/7 
| 1/1-5/4-10/7-20/11
| 1/1-8/7-16/11-8/5 
| 1/1-14/11-7/5-7/4 
|-
| 107
| 0-5-19-22
| 1-7/5-9/5-11/10
| otonal
| 22.169935
| 1/1-11/10-7/5-9/5 
| 1/1-14/11-18/11-20/11
| 1/1-9/7-10/7-11/7 
| 1/1-10/9-11/9-14/9 
|-
| 108
| 0-7-19-22
| 1-8/5-9/5-11/10
| otonal
| 22.169964
| 1/1-11/10-8/5-9/5 
| 1/1-16/11-18/11-20/11
| 1/1-9/8-5/4-11/8 
| 1/1-10/9-11/9-16/9 
|-
| 109
| 0-13-19-22
| 1-6/5-9/5-11/10
| otonal
| 22.172428
| 1/1-11/10-6/5-9/5 
| 1/1-12/11-18/11-20/11
| 1/1-3/2-5/3-11/6 
| 1/1-10/9-11/9-4/3 
|-
| 110
| 0-14-19-22
| 1-9/7-9/5-11/10
| swetismic
| 22.174926
| 1/1-11/10-9/7-9/5 
| 1/1-7/6-18/11-20/11
| 1/1-7/5-14/9-12/7 
| 1/1-10/9-11/9-10/7 
|-
| 111
| 0-17-19-22
| 1-11/7-9/5-11/10
| werckismic
| 22.209454
| 1/1-11/10-11/7-9/5 
| 1/1-10/7-18/11-20/11
| 1/1-8/7-14/11-7/5 
| 1/1-10/9-11/9-7/4 
|}


== Pentads ==
{| class="wikitable center-1"
|-
! #
! Chord
! Transversal
! Type
! Hash
|-
| 1
| 0-3-6-9-12
| 1-11/9-3/2-11/6-9/8
| rastmic
| 12.192601
|-
| 2
| 0-2-5-7-14
| 1-8/7-7/5-8/5-9/7
| miracle
| 14.014456
|-
| 3
| 0-2-5-8-14
| 1-8/7-7/5-12/7-9/7
| jove
| 14.025572
|-
| 4
| 0-2-7-9-14
| 1-8/7-8/5-11/6-9/7
| unimarvel
| 14.055706
|-
| 5
| 0-5-7-12-14
| 1-7/5-8/5-9/8-9/7
| unimarvel
| 14.333225
|-
| 6
| 0-6-9-12-14
| 1-3/2-11/6-9/8-9/7
| jove
| 14.362012
|-
| 7
| 0-7-9-12-14
| 1-8/5-11/6-9/8-9/7
| miracle
| 14.366391
|-
| 8
| 0-3-6-8-15
| 1-11/9-3/2-12/7-11/8
| miracle
| 15.014413
|-
| 9
| 0-3-6-9-15
| 1-11/9-3/2-11/6-11/8
| rastmic
| 15.025529
|-
| 10
| 0-2-7-9-15
| 1-8/7-8/5-11/6-11/8
| keenanismic
| 15.028122
|-
| 11
| 0-3-6-12-15
| 1-11/9-3/2-9/8-11/8
| rastmic
| 15.172779
|-
| 12
| 0-3-9-12-15
| 1-11/9-11/6-9/8-11/8
| rastmic
| 15.190172
|-
| 13
| 0-6-9-12-15
| 1-3/2-11/6-9/8-11/8
| rastmic
| 15.192331
|-
| 14
| 0-7-9-12-15
| 1-8/5-11/6-9/8-11/8
| miracle
| 15.194795
|-
| 15
| 0-6-8-13-15
| 1-3/2-12/7-6/5-11/8
| keenanismic
| 15.333190
|-
| 16
| 0-2-5-8-17
| 1-8/7-7/5-12/7-11/7
| jove
| 17.003221
|-
| 17
| 0-3-5-8-17
| 1-11/9-7/5-12/7-11/7
| jove
| 17.003265
|-
| 18
| 0-3-5-12-17
| 1-11/9-7/5-9/8-11/7
| miracle
| 17.044832
|-
| 19
| 0-3-9-12-17
| 1-11/9-11/6-9/8-11/7
| jove
| 17.049944
|-
| 20
| 0-2-5-14-17
| 1-8/7-7/5-9/7-11/7
| jove
| 17.170287
|-
| 21
| 0-2-8-14-17
| 1-8/7-12/7-9/7-11/7
| otonal
| 17.172476
|-
| 22
| 0-5-8-14-17
| 1-7/5-12/7-9/7-11/7
| jove
| 17.172750
|-
| 23
| 0-2-9-14-17
| 1-8/7-11/6-9/7-11/7
| unimarvel
| 17.174974
|-
| 24
| 0-5-12-14-17
| 1-7/5-9/8-9/7-11/7
| miracle
| 17.209767
|-
| 25
| 0-9-12-14-17
| 1-11/6-9/8-9/7-11/7
| jove
| 17.214329
|-
| 26
| 0-2-8-15-17
| 1-8/7-12/7-11/8-11/7
| keenanismic
| 17.324225
|-
| 27
| 0-3-8-15-17
| 1-11/9-12/7-11/8-11/7
| unimarvel
| 17.324260
|-
| 28
| 0-2-9-15-17
| 1-8/7-11/6-11/8-11/7
| keenanismic
| 17.326473
|-
| 29
| 0-3-9-15-17
| 1-11/9-11/6-11/8-11/7
| utonal
| 17.326508
|-
| 30
| 0-3-12-15-17
| 1-11/9-9/8-11/8-11/7
| jove
| 17.357629
|-
| 31
| 0-9-12-15-17
| 1-11/6-9/8-11/8-11/7
| jove
| 17.361952
|-
| 32
| 0-2-5-7-19
| 1-8/7-7/5-8/5-9/5
| werckismic
| 19.000454
|-
| 33
| 0-5-7-12-19
| 1-7/5-8/5-9/8-9/5
| marvel
| 19.011667
|-
| 34
| 0-5-7-13-19
| 1-7/5-8/5-6/5-9/5
| otonal
| 19.022804
|-
| 35
| 0-2-5-14-19
| 1-8/7-7/5-9/7-9/5
| jove
| 19.044493
|-
| 36
| 0-2-7-14-19
| 1-8/7-8/5-9/7-9/5
| prodigy
| 19.044749
|-
| 37
| 0-5-7-14-19
| 1-7/5-8/5-9/7-9/5
| unimarvel
| 19.044824
|-
| 38
| 0-5-12-14-19
| 1-7/5-9/8-9/7-9/5
| unimarvel
| 19.055370
|-
| 39
| 0-6-12-14-19
| 1-3/2-9/8-9/7-9/5
| utonal
| 19.055455
|-
| 40
| 0-7-12-14-19
| 1-8/5-9/8-9/7-9/5
| marvel
| 19.055624
|-
| 41
| 0-2-5-17-19
| 1-8/7-7/5-11/7-9/5
| werckismic
| 19.322010
|-
| 42
| 0-5-12-17-19
| 1-7/5-9/8-11/7-9/5
| prodigy
| 19.330989
|-
| 43
| 0-2-14-17-19
| 1-8/7-9/7-11/7-9/5
| werckismic
| 19.357563
|-
| 44
| 0-5-14-17-19
| 1-7/5-9/7-11/7-9/5
| jove
| 19.357623
|-
| 45
| 0-12-14-17-19
| 1-9/8-9/7-11/7-9/5
| werckismic
| 19.366324
|-
| 46
| 0-3-5-8-22
| 1-11/9-7/5-12/7-11/10
| jove
| 22.000102
|-
| 47
| 0-5-7-13-22
| 1-7/5-8/5-6/5-11/10
| otonal
| 22.002870
|-
| 48
| 0-5-8-13-22
| 1-7/5-12/7-6/5-11/10
| swetismic
| 22.002914
|-
| 49
| 0-5-7-14-22
| 1-7/5-8/5-9/7-11/10
| unimarvel
| 22.005680
|-
| 50
| 0-5-8-14-22
| 1-7/5-12/7-9/7-11/10
| swetismic
| 22.005724
|-
| 51
| 0-7-9-14-22
| 1-8/5-11/6-9/7-11/10
| unimarvel
| 22.005844
|-
| 52
| 0-3-8-15-22
| 1-11/9-12/7-11/8-11/10
| unimarvel
| 22.011318
|-
| 53
| 0-3-9-15-22
| 1-11/9-11/6-11/8-11/10
| utonal
| 22.011405
|-
| 54
| 0-7-9-15-22
| 1-8/5-11/6-11/8-11/10
| keenanismic
| 22.011446
|-
| 55
| 0-7-13-15-22
| 1-8/5-6/5-11/8-11/10
| keenanismic
| 22.014064
|-
| 56
| 0-8-13-15-22
| 1-12/7-6/5-11/8-11/10
| unimarvel
| 22.014108
|-
| 57
| 0-3-5-17-22
| 1-11/9-7/5-11/7-11/10
| werckismic
| 22.044408
|-
| 58
| 0-3-8-17-22
| 1-11/9-12/7-11/7-11/10
| swetismic
| 22.044483
|-
| 59
| 0-5-8-17-22
| 1-7/5-12/7-11/7-11/10
| jove
| 22.044491
|-
| 60
| 0-3-9-17-22
| 1-11/9-11/6-11/7-11/10
| utonal
| 22.044568
|-
| 61
| 0-5-14-17-22
| 1-7/5-9/7-11/7-11/10
| jove
| 22.049860
|-
| 62
| 0-8-14-17-22
| 1-12/7-9/7-11/7-11/10
| swetismic
| 22.049934
|-
| 63
| 0-9-14-17-22
| 1-11/6-9/7-11/7-11/10
| swetismic
| 22.050019
|-
| 64
| 0-3-15-17-22
| 1-11/9-11/8-11/7-11/10
| utonal
| 22.055285
|-
| 65
| 0-8-15-17-22
| 1-12/7-11/8-11/7-11/10
| unimarvel
| 22.055368
|-
| 66
| 0-9-15-17-22
| 1-11/6-11/8-11/7-11/10
| utonal
| 22.055452
|-
| 67
| 0-5-7-19-22
| 1-7/5-8/5-9/5-11/10
| otonal
| 22.169974
|-
| 68
| 0-5-13-19-22
| 1-7/5-6/5-9/5-11/10
| otonal
| 22.172438
|-
| 69
| 0-7-13-19-22
| 1-8/5-6/5-9/5-11/10
| otonal
| 22.172467
|-
| 70
| 0-5-14-19-22
| 1-7/5-9/7-9/5-11/10
| swetismic
| 22.174936
|-
| 71
| 0-7-14-19-22
| 1-8/5-9/7-9/5-11/10
| unimarvel
| 22.174965
|-
| 72
| 0-5-17-19-22
| 1-7/5-11/7-9/5-11/10
| werckismic
| 22.209463
|-
| 73
| 0-14-17-19-22
| 1-9/7-11/7-9/5-11/10
| jove
| 22.214319
|}


&lt;table class="wiki_table"&gt;
== Hexads ==
    &lt;tr&gt;
{| class="wikitable center-1"
        &lt;td&gt;Number&lt;br /&gt;
|-
&lt;/td&gt;
! #
        &lt;td&gt;Chord&lt;br /&gt;
! Chord
&lt;/td&gt;
! Transversal
        &lt;td&gt;Transversal&lt;br /&gt;
! Type
&lt;/td&gt;
! Hash
        &lt;td&gt;Type&lt;br /&gt;
|-
&lt;/td&gt;
| 1
        &lt;td&gt;Hash Complexity&lt;br /&gt;
| 0-3-6-9-12-15
&lt;/td&gt;
| 1-11/9-3/2-11/6-9/8-11/8
    &lt;/tr&gt;
| rastmic
&lt;/table&gt;
| 15.192640
|-
| 2
| 0-2-5-8-14-17
| 1-8/7-7/5-12/7-9/7-11/7
| jove
| 17.172789
|-
| 3
| 0-3-9-12-15-17
| 1-11/9-11/6-9/8-11/8-11/7
| jove
| 17.362021
|-
| 4
| 0-2-5-7-14-19
| 1-8/7-7/5-8/5-9/7-9/5
| miracle
| 19.044834
|-
| 5
| 0-5-7-12-14-19
| 1-7/5-8/5-9/8-9/7-9/5
| unimarvel
| 19.055709
|-
| 6
| 0-2-5-14-17-19
| 1-8/7-7/5-9/7-11/7-9/5
| jove
| 19.357631
|-
| 7
| 0-5-12-14-17-19
| 1-7/5-9/8-9/7-11/7-9/5
| miracle
| 19.366393
|-
| 8
| 0-3-5-8-17-22
| 1-11/9-7/5-12/7-11/7-11/10
| jove
| 22.044493
|-
| 9
| 0-5-8-14-17-22
| 1-7/5-12/7-9/7-11/7-11/10
| jove
| 22.049945
|-
| 10
| 0-3-8-15-17-22
| 1-11/9-12/7-11/8-11/7-11/10
| unimarvel
| 22.055370
|-
| 11
| 0-3-9-15-17-22
| 1-11/9-11/6-11/8-11/7-11/10
| utonal
| 22.055455
|-
| 12
| 0-5-7-13-19-22
| 1-7/5-8/5-6/5-9/5-11/10
| otonal
| 22.172477
|-
| 13
| 0-5-7-14-19-22
| 1-7/5-8/5-9/7-9/5-11/10
| unimarvel
| 22.174975
|-
| 14
| 0-5-14-17-19-22
| 1-7/5-9/7-11/7-9/5-11/10
| jove
| 22.214329
|}


&lt;br /&gt;
[[Category:Lists of chords]]
 
[[Category:Listen]]
 
[[Category:Miracle]]
&lt;table class="wiki_table"&gt;
[[Category:Triads]]
    &lt;tr&gt;
[[Category:Tetrads]]
        &lt;td&gt;1&lt;br /&gt;
[[Category:Pentads]]
&lt;/td&gt;
[[Category:Hexads]]
        &lt;td&gt;0-3-6-9-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-3/2-11/6-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12.192601&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;0-2-5-7-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-7/5-8/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.014456&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;0-2-5-8-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-7/5-12/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.025572&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;0-2-7-9-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-8/5-11/6-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.055706&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-7-12-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-8/5-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.333225&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;0-6-9-12-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-11/6-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.362012&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-7-9-12-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-11/6-9/8-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.366391&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;0-3-6-8-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-3/2-12/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.014413&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;0-3-6-9-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-3/2-11/6-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.025529&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;0-2-7-9-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-8/5-11/6-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.028122&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;0-3-6-12-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-3/2-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.172779&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;0-3-9-12-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.190172&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-9-12-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-11/6-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.192331&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;0-7-9-12-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-11/6-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.194795&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-6-8-13-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-12/7-6/5-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;keenanismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.333190&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;0-2-5-8-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-7/5-12/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.003221&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;0-3-5-8-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-7/5-12/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.003265&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;0-3-5-12-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-7/5-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;marvel&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.044832&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;0-3-9-12-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.049944&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;0-2-5-14-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/7-7/5-9/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.170287&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;0-2-8-14-17&lt;br /&gt;
&lt;/td&gt;
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        &lt;td&gt;otonal&lt;br /&gt;
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        &lt;td&gt;17.172476&lt;br /&gt;
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        &lt;td&gt;22&lt;br /&gt;
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        &lt;td&gt;jove&lt;br /&gt;
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        &lt;td&gt;17.172750&lt;br /&gt;
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        &lt;td&gt;23&lt;br /&gt;
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        &lt;td&gt;unimarvel&lt;br /&gt;
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        &lt;td&gt;24&lt;br /&gt;
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        &lt;td&gt;25&lt;br /&gt;
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        &lt;td&gt;jove&lt;br /&gt;
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        &lt;td&gt;26&lt;br /&gt;
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        &lt;td&gt;keenanismic&lt;br /&gt;
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        &lt;td&gt;17.324225&lt;br /&gt;
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        &lt;td&gt;27&lt;br /&gt;
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        &lt;td&gt;unimarvel&lt;br /&gt;
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        &lt;td&gt;17.324260&lt;br /&gt;
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        &lt;td&gt;28&lt;br /&gt;
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        &lt;td&gt;keenanismic&lt;br /&gt;
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        &lt;td&gt;17.326473&lt;br /&gt;
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        &lt;td&gt;29&lt;br /&gt;
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        &lt;td&gt;utonal&lt;br /&gt;
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        &lt;td&gt;30&lt;br /&gt;
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        &lt;td&gt;jove&lt;br /&gt;
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        &lt;td&gt;31&lt;br /&gt;
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        &lt;td&gt;jove&lt;br /&gt;
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        &lt;td&gt;32&lt;br /&gt;
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        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;33&lt;br /&gt;
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        &lt;td&gt;marvel&lt;br /&gt;
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        &lt;td&gt;19.011667&lt;br /&gt;
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        &lt;td&gt;34&lt;br /&gt;
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        &lt;td&gt;otonal&lt;br /&gt;
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        &lt;td&gt;19.022804&lt;br /&gt;
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        &lt;td&gt;35&lt;br /&gt;
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        &lt;td&gt;jove&lt;br /&gt;
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        &lt;td&gt;19.044493&lt;br /&gt;
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        &lt;td&gt;36&lt;br /&gt;
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        &lt;td&gt;prodigy&lt;br /&gt;
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        &lt;td&gt;19.044749&lt;br /&gt;
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        &lt;td&gt;37&lt;br /&gt;
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        &lt;td&gt;unimarvel&lt;br /&gt;
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        &lt;td&gt;19.044824&lt;br /&gt;
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        &lt;td&gt;38&lt;br /&gt;
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        &lt;td&gt;unimarvel&lt;br /&gt;
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        &lt;td&gt;19.055370&lt;br /&gt;
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        &lt;td&gt;39&lt;br /&gt;
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        &lt;td&gt;utonal&lt;br /&gt;
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        &lt;td&gt;19.055455&lt;br /&gt;
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        &lt;td&gt;40&lt;br /&gt;
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        &lt;td&gt;marvel&lt;br /&gt;
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        &lt;td&gt;19.055624&lt;br /&gt;
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        &lt;td&gt;41&lt;br /&gt;
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        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;19.322010&lt;br /&gt;
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        &lt;td&gt;42&lt;br /&gt;
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        &lt;td&gt;prodigy&lt;br /&gt;
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        &lt;td&gt;19.330989&lt;br /&gt;
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        &lt;td&gt;43&lt;br /&gt;
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        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;19.357563&lt;br /&gt;
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        &lt;td&gt;jove&lt;br /&gt;
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        &lt;td&gt;19.357623&lt;br /&gt;
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        &lt;td&gt;45&lt;br /&gt;
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        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;19.366324&lt;br /&gt;
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        &lt;td&gt;jove&lt;br /&gt;
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        &lt;td&gt;47&lt;br /&gt;
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        &lt;td&gt;22.002870&lt;br /&gt;
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        &lt;td&gt;48&lt;br /&gt;
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        &lt;td&gt;swetismic&lt;br /&gt;
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        &lt;td&gt;22.002914&lt;br /&gt;
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        &lt;td&gt;49&lt;br /&gt;
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        &lt;td&gt;unimarvel&lt;br /&gt;
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        &lt;td&gt;22.005680&lt;br /&gt;
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        &lt;td&gt;50&lt;br /&gt;
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        &lt;td&gt;swetismic&lt;br /&gt;
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        &lt;td&gt;22.005724&lt;br /&gt;
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        &lt;td&gt;51&lt;br /&gt;
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        &lt;td&gt;unimarvel&lt;br /&gt;
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        &lt;td&gt;22.005844&lt;br /&gt;
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        &lt;td&gt;52&lt;br /&gt;
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        &lt;td&gt;unimarvel&lt;br /&gt;
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        &lt;td&gt;22.011318&lt;br /&gt;
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        &lt;td&gt;53&lt;br /&gt;
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        &lt;td&gt;utonal&lt;br /&gt;
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        &lt;td&gt;22.011405&lt;br /&gt;
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        &lt;td&gt;54&lt;br /&gt;
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        &lt;td&gt;keenanismic&lt;br /&gt;
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        &lt;td&gt;22.011446&lt;br /&gt;
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        &lt;td&gt;55&lt;br /&gt;
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        &lt;td&gt;keenanismic&lt;br /&gt;
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        &lt;td&gt;22.014064&lt;br /&gt;
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        &lt;td&gt;56&lt;br /&gt;
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        &lt;td&gt;unimarvel&lt;br /&gt;
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        &lt;td&gt;22.014108&lt;br /&gt;
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        &lt;td&gt;57&lt;br /&gt;
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        &lt;td&gt;werckismic&lt;br /&gt;
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        &lt;td&gt;22.044408&lt;br /&gt;
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        &lt;td&gt;58&lt;br /&gt;
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        &lt;td&gt;swetismic&lt;br /&gt;
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        &lt;td&gt;22.044483&lt;br /&gt;
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        &lt;td&gt;59&lt;br /&gt;
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        &lt;td&gt;jove&lt;br /&gt;
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        &lt;td&gt;22.044491&lt;br /&gt;
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        &lt;td&gt;60&lt;br /&gt;
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        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.044568&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;0-5-14-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.049860&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;0-8-14-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-9/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.049934&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;0-9-14-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.050019&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;0-3-15-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/8-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.055285&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;0-8-15-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-11/8-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.055368&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;0-9-15-17-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-11/8-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.055452&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;0-5-7-19-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-8/5-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.169974&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;0-5-13-19-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-6/5-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.172438&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;0-7-13-19-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-6/5-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.172467&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;0-5-14-19-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/7-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.174936&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;0-7-14-19-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8/5-9/7-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;unimarvel&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.174965&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;0-5-17-19-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/7-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.209463&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;0-14-17-19-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-11/7-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.214319&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 21:50, 22 June 2025

Below are listed the dyadic chords of 11-limit miracle temperament. They are listed in order of increasing Graham complexity, with hash complexity used to break ties.

For any linear temperament, if we choose a generator, we may put any octave-equivalent chord of the temperament in a canonical form by representing it as a set of nonnegative integers, starting with 0, which are the number of generator steps giving an octave-equivalent note class in the chord. If S is such a set, the sum Σ 2s for all sS provides a unique odd number encoding the chord, and the logarithm base two of this number is the hash complexity, listed under the heading "hash" below. The floor of hash complexity, that is, the greatest integer less than the hash complexity, is equal to the Graham complexity.

The heading "transversal" shows a JI chord whose intervals temper to the marvel chord. Under "type" it says otonal if it is an essentially just chord best understood in terms of the harmonic series (the overtones) and utonal if it is the inversion of an otonal chord (in other words, fitting the subharmonic series), and ambitonal if it can equally well be seen as otonal or utonal.

The other names denote types of essentially tempered chord, giving the least amount of tempering needed to define the chord. These include:

The generator used below is the standard choice for miracle temperament, the secor, 16/15~15/14. However, it should be noted that the choice of generator does not affect the list of chords, only how those chords are interpreted. Does 0–7–13 denote the major triad or the minor triad? It is on the list of chords either way, but with a secor generator it is the major triad.

Triads

The chords are ordered by generator steps. This chord ordering is useful because you can tell how often it will occur in a scale of miracle. For instance, Chord 0–2–5, which is 1–8/7–7/5, occurs for the first time on the fifth generation, and will therefore occur five times in Miracle[10]. Chord 0–3–9, which is 1–11/9–11/6, occurs for the first time on the ninth generation, and therefore appears only once in Miracle[10].

Each of the triads generated has three rotations ("inversions"), i.e., can be written starting on any one of the three tones in the triad.

This ordering does create results that may seem surprising: for example, chord #21, 1–6/5–8/5, is the first inversion of 1–5/4–3/2; in this list, 1–5/4–3/2 is the second inversion of chord #21. Unlike in traditional music theory, there is nothing canonical about these orderings and inversions.

All three inversions for all 63 chords are notated in this PDF and can be heard using a piano, a steel-stringed guitar, a nylon-stringed guitar, and a string ensemble. (All linked files are in MP3 format. They were created in Mus2 using 41edo sagittal notation (get Mus2 file), exported to tuned MIDI, and rendered with Timidity++ using soundfonts.) Finally, here is a tuned MIDI file. The sequence is: chord as generated, first inversion, second inversion, quarter-note rest.

# Chord Transversal Type Hash As generated First inversion Second inversion
1 0-2-5 1-8/7-7/5 werckismic 5.209453 1/1-8/7-7/5 1/1-11/9-7/4 1/1-10/7-18/11
2 0-3-5 1-11/9-7/5 werckismic 5.357552 1/1-11/9-7/5 1/1-8/7-18/11 1/1-10/7-7/4
3 0-3-6 1-11/9-3/2 rastmic 6.189825 1/1-11/9-3/2 1/1-11/9-18/11 1/1-4/3-18/11
4 0-2-7 1-8/7-8/5 utonal 7.055282 1/1-8/7-8/5 1/1-7/5-7/4 1/1-5/4-10/7
5 0-5-7 1-7/5-8/5 otonal 7.330917 1/1-7/5-8/5 1/1-8/7-10/7 1/1-5/4-7/4
6 0-2-8 1-8/7-12/7 otonal 8.027906 1/1-8/7-12/7 1/1-3/2-7/4 1/1-7/6-4/3
7 0-3-8 1-11/9-12/7 swetismic 8.049849 1/1-11/9-12/7 1/1-7/5-18/11 1/1-7/6-10/7
8 0-5-8 1-7/5-12/7 swetismic 8.174926 1/1-7/5-12/7 1/1-11/9-10/7 1/1-7/6-18/11
9 0-6-8 1-3/2-12/7 utonal 8.326429 1/1-3/2-12/7 1/1-8/7-4/3 1/1-7/6-7/4
10 0-2-9 1-8/7-11/6 keenanismic 9.014020 1/1-8/7-11/6 1/1-8/5-7/4 1/1-12/11-5/4
11 0-3-9 1-11/9-11/6 utonal 9.025140 1/1-11/9-11/6 1/1-3/2-18/11 1/1-12/11-4/3
12 0-6-9 1-3/2-11/6 otonal 9.172428 1/1-3/2-11/6 1/1-11/9-4/3 1/1-12/11-18/11
13 0-7-9 1-8/5-11/6 keenanismic 9.324181 1/1-8/5-11/6 1/1-8/7-5/4 1/1-12/11-7/4
14 0-3-12 1-11/9-9/8 rastmic 12.003167 1/1-9/8-11/9 1/1-12/11-16/9 1/1-18/11-11/6
15 0-5-12 1-7/5-9/8 marvel 12.011577 1/1-9/8-7/5 1/1-56/45-16/9 1/1-10/7-8/5
16 0-6-12 1-3/2-9/8 ambitonal 12.022715 1/1-9/8-3/2 1/1-4/3-16/9 1/1-4/3-3/2
17 0-7-12 1-8/5-9/8 marvel 12.044736 1/1-9/8-8/5 1/1-10/7-16/9 1/1-5/4-7/5
18 0-9-12 1-11/6-9/8 rastmic 12.170238 1/1-9/8-11/6 1/1-18/11-16/9 1/1-12/11-11/9
19 0-5-13 1-7/5-6/5 otonal 13.005800 1/1-6/5-7/5 1/1-7/6-5/3 1/1-10/7-12/7
20 0-6-13 1-3/2-6/5 utonal 13.011402 1/1-6/5-3/2 1/1-5/4-5/3 1/1-4/3-8/5
21 0-7-13 1-8/5-6/5 otonal 13.022541 1/1-6/5-8/5 1/1-4/3-5/3 1/1-5/4-3/2
22 0-8-13 1-12/7-6/5 utonal 13.044565 1/1-6/5-12/7 1/1-10/7-5/3 1/1-7/6-7/5
23 0-2-14 1-8/7-9/7 otonal 14.000440 1/1-8/7-9/7 1/1-9/8-7/4 1/1-14/9-16/9
24 0-5-14 1-7/5-9/7 swetismic 14.002903 1/1-9/7-7/5 1/1-12/11-14/9 1/1-10/7-11/6
25 0-6-14 1-3/2-9/7 utonal 14.005712 1/1-9/7-3/2 1/1-7/6-14/9 1/1-4/3-12/7
26 0-7-14 1-8/5-9/7 marvel 14.011315 1/1-9/7-8/5 1/1-5/4-14/9 1/1-5/4-8/5
27 0-8-14 1-12/7-9/7 otonal 14.022455 1/1-9/7-12/7 1/1-4/3-14/9 1/1-7/6-3/2
28 0-9-14 1-11/6-9/7 swetismic 14.04448 1/1-9/7-11/6 1/1-10/7-14/9 1/1-12/11-7/5
29 0-12-14 1-9/8-9/7 utonal 14.321999 1/1-9/8-9/7 1/1-8/7-16/9 1/1-14/9-7/4
30 0-2-15 1-8/7-11/8 keenanismic 15.000220 1/1-8/7-11/8 1/1-6/5-7/4 1/1-16/11-5/3
31 0-3-15 1-11/9-11/8 utonal 15.000396 1/1-11/9-11/8 1/1-9/8-18/11 1/1-16/11-16/9
32 0-6-15 1-3/2-11/8 otonal 15.002859 1/1-11/8-3/2 1/1-12/11-16/11 1/1-4/3-11/6
33 0-7-15 1-8/5-11/8 keenanismic 15.005660 1/1-11/8-8/5 1/1-7/6-16/11 1/1-5/4-12/7
34 0-8-15 1-12/7-11/8 keenanismic 15.011271 1/1-11/8-12/7 1/1-5/4-16/11 1/1-7/6-8/5
35 0-9-15 1-11/6-11/8 utonal 15.022411 1/1-11/8-11/6 1/1-4/3-16/11 1/1-12/11-3/2
36 0-12-15 1-9/8-11/8 otonal 15.169964 1/1-9/8-11/8 1/1-11/9-16/9 1/1-16/11-18/11
37 0-13-15 1-6/5-11/8 keenanismic 15.321963 1/1-6/5-11/8 1/1-8/7-5/3 1/1-16/11-7/4
38 0-2-17 1-8/7-11/7 otonal 17.000055 1/1-8/7-11/7 1/1-11/8-7/4 1/1-14/11-16/11
39 0-3-17 1-11/9-11/7 utonal 17.000099 1/1-11/9-11/7 1/1-9/7-18/11 1/1-14/11-14/9
40 0-5-17 1-7/5-11/7 werckismic 17.000363 1/1-7/5-11/7 1/1-9/8-10/7 1/1-14/11-16/9
41 0-8-17 1-12/7-11/7 otonal 17.002826 1/1-11/7-12/7 1/1-12/11-14/11 1/1-7/6-11/6
42 0-9-17 1-11/6-11/7 utonal 17.005636 1/1-11/7-11/6 1/1-7/6-14/11 1/1-12/11-12/7
43 0-12-17 1-9/8-11/7 werckismic 17.0444 1/1-9/8-11/7 1/1-7/5-16/9 1/1-14/11-10/7
44 0-14-17 1-9/7-11/7 otonal 17.169935 1/1-9/7-11/7 1/1-11/9-14/9 1/1-14/11-18/11
45 0-15-17 1-11/8-11/7 utonal 17.321937 1/1-11/8-11/7 1/1-8/7-16/11 1/1-14/11-7/4
46 0-2-19 1-8/7-9/5 werckismic 19.000014 1/1-8/7-9/5 1/1-11/7-7/4 1/1-10/9-14/11
47 0-5-19 1-7/5-9/5 otonal 19.000091 1/1-7/5-9/5 1/1-9/7-10/7 1/1-10/9-14/9
48 0-6-19 1-3/2-9/5 utonal 19.000179 1/1-3/2-9/5 1/1-6/5-4/3 1/1-10/9-5/3
49 0-7-19 1-8/5-9/5 otonal 19.000355 1/1-8/5-9/5 1/1-9/8-5/4 1/1-10/9-16/9
50 0-12-19 1-9/8-9/5 utonal 19.011230 1/1-9/8-9/5 1/1-8/5-16/9 1/1-10/9-5/4
51 0-13-19 1-6/5-9/5 otonal 19.022371 1/1-6/5-9/5 1/1-3/2-5/3 1/1-10/9-4/3
52 0-14-19 1-9/7-9/5 utonal 19.044397 1/1-9/7-9/5 1/1-7/5-14/9 1/1-10/9-10/7
53 0-17-19 1-11/7-9/5 werckismic 19.321930 1/1-11/7-9/5 1/1-8/7-14/11 1/1-10/9-7/4
54 0-3-22 1-11/9-11/10 utonal 22.000003 1/1-11/10-11/9 1/1-10/9-20/11 1/1-18/11-9/5
55 0-5-22 1-7/5-11/10 otonal 22.000011 1/1-11/10-7/5 1/1-14/11-20/11 1/1-10/7-11/7
56 0-7-22 1-8/5-11/10 otonal 22.000044 1/1-11/10-8/5 1/1-16/11-20/11 1/1-5/4-11/8
57 0-8-22 1-12/7-11/10 swetismic 22.000088 1/1-11/10-12/7 1/1-14/9-20/11 1/1-7/6-9/7
58 0-9-22 1-11/6-11/10 utonal 22.000176 1/1-11/10-11/6 1/1-5/3-20/11 1/1-12/11-6/5
59 0-13-22 1-6/5-11/10 otonal 22.002815 1/1-11/10-6/5 1/1-12/11-20/11 1/1-5/3-11/6
60 0-14-22 1-9/7-11/10 swetismic 22.005625 1/1-11/10-9/7 1/1-7/6-20/11 1/1-14/9-12/7
61 0-15-22 1-11/8-11/10 utonal 22.011228 1/1-11/10-11/8 1/1-5/4-20/11 1/1-16/11-8/5
62 0-17-22 1-11/7-11/10 utonal 22.044394 1/1-11/10-11/7 1/1-10/7-20/11 1/1-14/11-7/5
63 0-19-22 1-9/5-11/10 otonal 22.169925 1/1-11/10-9/5 1/1-18/11-20/11 1/1-10/9-11/9

Tetrads

# Chord Transversal Type Hash As generated First inversion Second inversion Third inversion
1 0-2-5-7 1-8/7-7/5-8/5 werckismic 7.366322 1/1-8/7-7/5-8/5 1/1-11/9-7/5-7/4 1/1-8/7-10/7-18/11 1/1-5/4-10/7-7/4
2 0-2-5-8 1-8/7-7/5-12/7 jove 8.194757 1/1-8/7-7/5-12/7 1/1-11/9-3/2-7/4 1/1-11/9-10/7-18/11 1/1-7/6-4/3-18/11
3 0-3-5-8 1-11/9-7/5-12/7 jove 8.214319 1/1-11/9-7/5-12/7 1/1-8/7-7/5-18/11 1/1-11/9-10/7-7/4 1/1-7/6-10/7-18/11
4 0-3-6-8 1-11/9-3/2-12/7 jove 8.361944 1/1-11/9-3/2-12/7 1/1-11/9-7/5-18/11 1/1-8/7-4/3-18/11 1/1-7/6-10/7-7/4
5 0-3-6-9 1-11/9-3/2-11/6 rastmic 9.192293 1/1-11/9-3/2-11/6 1/1-11/9-3/2-18/11 1/1-11/9-4/3-18/11 1/1-12/11-4/3-18/11
6 0-2-7-9 1-8/7-8/5-11/6 keenanismic 9.333155 1/1-8/7-8/5-11/6 1/1-7/5-8/5-7/4 1/1-8/7-5/4-10/7 1/1-12/11-5/4-7/4
7 0-3-5-12 1-11/9-7/5-9/8 miracle 12.014369 1/1-9/8-11/9-7/5 1/1-12/11-5/4-16/9 1/1-8/7-18/11-11/6 1/1-10/7-8/5-7/4
8 0-3-6-12 1-11/9-3/2-9/8 rastmic 12.025486 1/1-9/8-11/9-3/2 1/1-12/11-4/3-16/9 1/1-11/9-18/11-11/6 1/1-4/3-3/2-18/11
9 0-5-7-12 1-7/5-8/5-9/8 marvel 12.055621 1/1-9/8-7/5-8/5 1/1-5/4-10/7-16/9 1/1-8/7-10/7-8/5 1/1-5/4-7/5-7/4
10 0-3-9-12 1-11/9-11/6-9/8 rastmic 12.172740 1/1-9/8-11/9-11/6 1/1-12/11-18/11-16/9 1/1-3/2-18/11-11/6 1/1-12/11-11/9-4/3
11 0-6-9-12 1-3/2-11/6-9/8 rastmic 12.190133 1/1-9/8-3/2-11/6 1/1-4/3-18/11-16/9 1/1-11/9-4/3-3/2 1/1-12/11-11/9-18/11
12 0-7-9-12 1-8/5-11/6-9/8 miracle 12.209758 1/1-9/8-8/5-11/6 1/1-10/7-18/11-16/9 1/1-8/7-5/4-7/5 1/1-12/11-11/9-7/4
13 0-5-7-13 1-7/5-8/5-6/5 otonal 13.028079 1/1-6/5-7/5-8/5 1/1-7/6-4/3-5/3 1/1-8/7-10/7-12/7 1/1-5/4-3/2-7/4
14 0-5-8-13 1-7/5-12/7-6/5 swetismic 13.050019 1/1-6/5-7/5-12/7 1/1-7/6-10/7-5/3 1/1-11/9-10/7-12/7 1/1-7/6-7/5-18/11
15 0-6-8-13 1-3/2-12/7-6/5 utonal 13.055452 1/1-6/5-3/2-12/7 1/1-5/4-10/7-5/3 1/1-8/7-4/3-8/5 1/1-7/6-7/5-7/4
16 0-2-5-14 1-8/7-7/5-9/7 jove 14.003254 1/1-8/7-9/7-7/5 1/1-9/8-11/9-7/4 1/1-12/11-14/9-16/9 1/1-10/7-18/11-11/6
17 0-2-7-14 1-8/7-8/5-9/7 marvel 14.011664 1/1-8/7-9/7-8/5 1/1-9/8-7/5-7/4 1/1-5/4-14/9-16/9 1/1-5/4-10/7-8/5
18 0-5-7-14 1-7/5-8/5-9/7 unimarvel 14.014108 1/1-9/7-7/5-8/5 1/1-12/11-5/4-14/9 1/1-8/7-10/7-11/6 1/1-5/4-8/5-7/4
19 0-2-8-14 1-8/7-12/7-9/7 otonal 14.022801 1/1-8/7-9/7-12/7 1/1-9/8-3/2-7/4 1/1-4/3-14/9-16/9 1/1-7/6-4/3-3/2
20 0-5-8-14 1-7/5-12/7-9/7 swetismic 14.025226 1/1-9/7-7/5-12/7 1/1-12/11-4/3-14/9 1/1-11/9-10/7-11/6 1/1-7/6-3/2-18/11
21 0-6-8-14 1-3/2-12/7-9/7 ambitonal 14.027992 1/1-9/7-3/2-12/7 1/1-7/6-4/3-14/9 1/1-8/7-4/3-12/7 1/1-7/6-3/2-7/4
22 0-2-9-14 1-8/7-11/6-9/7 unimarvel 14.044821 1/1-8/7-9/7-11/6 1/1-9/8-8/5-7/4 1/1-10/7-14/9-16/9 1/1-12/11-5/4-7/5
23 0-6-9-14 1-3/2-11/6-9/7 swetismic 14.049934 1/1-9/7-3/2-11/6 1/1-7/6-10/7-14/9 1/1-11/9-4/3-12/7 1/1-12/11-7/5-18/11
24 0-7-9-14 1-8/5-11/6-9/7 unimarvel 14.055367 1/1-9/7-8/5-11/6 1/1-5/4-10/7-14/9 1/1-8/7-5/4-8/5 1/1-12/11-7/5-7/4
25 0-5-12-14 1-7/5-9/8-9/7 unimarvel 14.324251 1/1-9/8-9/7-7/5 1/1-8/7-5/4-16/9 1/1-12/11-14/9-7/4 1/1-10/7-8/5-11/6
26 0-6-12-14 1-3/2-9/8-9/7 utonal 14.326500 1/1-9/8-9/7-3/2 1/1-8/7-4/3-16/9 1/1-7/6-14/9-7/4 1/1-4/3-3/2-12/7
27 0-7-12-14 1-8/5-9/8-9/7 marvel 14.330987 1/1-9/8-9/7-8/5 1/1-8/7-10/7-16/9 1/1-5/4-14/9-7/4 1/1-5/4-7/5-8/5
28 0-9-12-14 1-11/6-9/8-9/7 jove 14.357621 1/1-9/8-9/7-11/6 1/1-8/7-18/11-16/9 1/1-10/7-14/9-7/4 1/1-12/11-11/9-7/5
29 0-3-6-15 1-11/9-3/2-11/8 rastmic 15.003210 1/1-11/9-11/8-3/2 1/1-9/8-11/9-18/11 1/1-12/11-16/11-16/9 1/1-4/3-18/11-11/6
30 0-2-7-15 1-8/7-8/5-11/8 keenanismic 15.005844 1/1-8/7-11/8-8/5 1/1-6/5-7/5-7/4 1/1-7/6-16/11-5/3 1/1-5/4-10/7-12/7
31 0-2-8-15 1-8/7-12/7-11/8 keenanismic 15.011446 1/1-8/7-11/8-12/7 1/1-6/5-3/2-7/4 1/1-5/4-16/11-5/3 1/1-7/6-4/3-8/5
32 0-3-8-15 1-11/9-12/7-11/8 unimarvel 15.011620 1/1-11/9-11/8-12/7 1/1-9/8-7/5-18/11 1/1-5/4-16/11-16/9 1/1-7/6-10/7-8/5
33 0-6-8-15 1-3/2-12/7-11/8 keenanismic 15.014064 1/1-11/8-3/2-12/7 1/1-12/11-5/4-16/11 1/1-8/7-4/3-11/6 1/1-7/6-8/5-7/4
34 0-2-9-15 1-8/7-11/6-11/8 keenanismic 15.022585 1/1-8/7-11/8-11/6 1/1-6/5-8/5-7/4 1/1-4/3-16/11-5/3 1/1-12/11-5/4-3/2
35 0-3-9-15 1-11/9-11/6-11/8 utonal 15.022758 1/1-11/9-11/8-11/6 1/1-9/8-3/2-18/11 1/1-4/3-16/11-16/9 1/1-12/11-4/3-3/2
36 0-6-9-15 1-3/2-11/6-11/8 ambitonal 15.025183 1/1-11/8-3/2-11/6 1/1-12/11-4/3-16/11 1/1-11/9-4/3-11/6 1/1-12/11-3/2-18/11
37 0-7-9-15 1-8/5-11/6-11/8 keenanismic 15.027949 1/1-11/8-8/5-11/6 1/1-7/6-4/3-16/11 1/1-8/7-5/4-12/7 1/1-12/11-3/2-7/4
38 0-3-12-15 1-11/9-9/8-11/8 rastmic 15.170277 1/1-9/8-11/9-11/8 1/1-11/10-11/9-16/9 1/1-9/8-18/11-11/6 1/1-16/11-18/11-16/9
39 0-6-12-15 1-3/2-9/8-11/8 otonal 15.172467 1/1-9/8-11/8-3/2 1/1-11/9-4/3-16/9 1/1-12/11-16/11-18/11 1/1-4/3-3/2-11/6
40 0-7-12-15 1-8/5-9/8-11/8 unimarvel 15.174965 1/1-9/8-11/8-8/5 1/1-11/9-10/7-16/9 1/1-7/6-16/11-18/11 1/1-5/4-7/5-12/7
41 0-9-12-15 1-11/6-9/8-11/8 rastmic 15.189863 1/1-9/8-11/8-11/6 1/1-11/9-18/11-16/9 1/1-4/3-16/11-18/11 1/1-12/11-11/9-3/2
42 0-6-13-15 1-3/2-6/5-11/8 keenanismic 15.324216 1/1-6/5-11/8-3/2 1/1-8/7-5/4-5/3 1/1-12/11-16/11-7/4 1/1-4/3-8/5-11/6
43 0-7-13-15 1-8/5-6/5-11/8 keenanismic 15.326465 1/1-6/5-11/8-8/5 1/1-8/7-4/3-5/3 1/1-7/6-16/11-7/4 1/1-5/4-3/2-12/7
44 0-8-13-15 1-12/7-6/5-11/8 keenanismic 15.330952 1/1-6/5-11/8-12/7 1/1-8/7-10/7-5/3 1/1-5/4-16/11-7/4 1/1-7/6-7/5-8/5
45 0-2-5-17 1-8/7-7/5-11/7 werckismic 17.000407 1/1-8/7-7/5-11/7 1/1-11/9-11/8-7/4 1/1-9/8-10/7-18/11 1/1-14/11-16/11-16/9
46 0-3-5-17 1-11/9-7/5-11/7 werckismic 17.000451 1/1-11/9-7/5-11/7 1/1-8/7-9/7-18/11 1/1-9/8-10/7-7/4 1/1-14/11-14/9-16/9
47 0-2-8-17 1-8/7-12/7-11/7 otonal 17.002870 1/1-8/7-11/7-12/7 1/1-11/8-3/2-7/4 1/1-12/11-14/11-16/11 1/1-7/6-4/3-11/6
48 0-3-8-17 1-11/9-12/7-11/7 swetismic 17.002914 1/1-11/9-11/7-12/7 1/1-9/7-7/5-18/11 1/1-12/11-14/11-14/9 1/1-7/6-10/7-11/6
49 0-5-8-17 1-7/5-12/7-11/7 jove 17.003177 1/1-7/5-11/7-12/7 1/1-9/8-11/9-10/7 1/1-12/11-14/11-16/9 1/1-7/6-18/11-11/6
50 0-2-9-17 1-8/7-11/6-11/7 keenanismic 17.005679 1/1-8/7-11/7-11/6 1/1-11/8-8/5-7/4 1/1-7/6-14/11-16/11 1/1-12/11-5/4-12/7
51 0-3-9-17 1-11/9-11/6-11/7 utonal 17.005723 1/1-11/9-11/7-11/6 1/1-9/7-3/2-18/11 1/1-7/6-14/11-14/9 1/1-12/11-4/3-12/7
52 0-3-12-17 1-11/9-9/8-11/7 jove 17.044490 1/1-9/8-11/9-11/7 1/1-12/11-7/5-16/9 1/1-9/7-18/11-11/6 1/1-14/11-10/7-14/9
53 0-5-12-17 1-7/5-9/8-11/7 prodigy 17.044746 1/1-9/8-7/5-11/7 1/1-5/4-7/5-16/9 1/1-9/8-10/7-8/5 1/1-14/11-10/7-16/9
54 0-9-12-17 1-11/6-9/8-11/7 jove 17.049859 1/1-9/8-11/7-11/6 1/1-7/5-18/11-16/9 1/1-7/6-14/11-10/7 1/1-12/11-11/9-12/7
55 0-2-14-17 1-8/7-9/7-11/7 otonal 17.169974 1/1-8/7-9/7-11/7 1/1-9/8-11/8-7/4 1/1-11/9-14/9-16/9 1/1-14/11-16/11-18/11
56 0-5-14-17 1-7/5-9/7-11/7 jove 17.170248 1/1-9/7-7/5-11/7 1/1-12/11-11/9-14/9 1/1-9/8-10/7-11/6 1/1-14/11-18/11-16/9
57 0-8-14-17 1-12/7-9/7-11/7 otonal 17.172437 1/1-9/7-11/7-12/7 1/1-11/9-4/3-14/9 1/1-12/11-14/11-18/11 1/1-7/6-3/2-11/6
58 0-9-14-17 1-11/6-9/7-11/7 swetismic 17.174935 1/1-9/7-11/7-11/6 1/1-11/9-10/7-14/9 1/1-7/6-14/11-18/11 1/1-12/11-7/5-12/7
59 0-12-14-17 1-9/8-9/7-11/7 werckismic 17.209463 1/1-9/8-9/7-11/7 1/1-8/7-7/5-16/9 1/1-11/9-14/9-7/4 1/1-14/11-10/7-18/11
60 0-2-15-17 1-8/7-11/8-11/7 keenanismic 17.321972 1/1-8/7-11/8-11/7 1/1-6/5-11/8-7/4 1/1-8/7-16/11-5/3 1/1-14/11-16/11-7/4
61 0-3-15-17 1-11/9-11/8-11/7 utonal 17.322007 1/1-11/9-11/8-11/7 1/1-9/8-9/7-18/11 1/1-8/7-16/11-16/9 1/1-14/11-14/9-7/4
62 0-8-15-17 1-12/7-11/8-11/7 keenanismic 17.324189 1/1-11/8-11/7-12/7 1/1-8/7-5/4-16/11 1/1-12/11-14/11-7/4 1/1-7/6-8/5-11/6
63 0-9-15-17 1-11/6-11/8-11/7 utonal 17.326438 1/1-11/8-11/7-11/6 1/1-8/7-4/3-16/11 1/1-7/6-14/11-7/4 1/1-12/11-3/2-12/7
64 0-12-15-17 1-9/8-11/8-11/7 werckismic 17.357561 1/1-9/8-11/8-11/7 1/1-11/9-7/5-16/9 1/1-8/7-16/11-18/11 1/1-14/11-10/7-7/4
65 0-2-5-19 1-8/7-7/5-9/5 werckismic 19.000102 1/1-8/7-7/5-9/5 1/1-11/9-11/7-7/4 1/1-9/7-10/7-18/11 1/1-10/9-14/11-14/9
66 0-2-7-19 1-8/7-8/5-9/5 werckismic 19.000366 1/1-8/7-8/5-9/5 1/1-7/5-11/7-7/4 1/1-9/8-5/4-10/7 1/1-10/9-14/11-16/9
67 0-5-7-19 1-7/5-8/5-9/5 otonal 19.000443 1/1-7/5-8/5-9/5 1/1-8/7-9/7-10/7 1/1-9/8-5/4-7/4 1/1-10/9-14/9-16/9
68 0-5-12-19 1-7/5-9/8-9/5 marvel 19.011317 1/1-9/8-7/5-9/5 1/1-5/4-8/5-16/9 1/1-9/7-10/7-8/5 1/1-10/9-5/4-14/9
69 0-6-12-19 1-3/2-9/8-9/5 utonal 19.011405 1/1-9/8-3/2-9/5 1/1-4/3-8/5-16/9 1/1-6/5-4/3-3/2 1/1-10/9-5/4-5/3
70 0-7-12-19 1-8/5-9/8-9/5 marvel 19.011579 1/1-9/8-8/5-9/5 1/1-10/7-8/5-16/9 1/1-9/8-5/4-7/5 1/1-10/9-5/4-16/9
71 0-5-13-19 1-7/5-6/5-9/5 otonal 19.022457 1/1-6/5-7/5-9/5 1/1-7/6-3/2-5/3 1/1-9/7-10/7-12/7 1/1-10/9-4/3-14/9
72 0-6-13-19 1-3/2-6/5-9/5 ambitonal 19.022544 1/1-6/5-3/2-9/5 1/1-5/4-3/2-5/3 1/1-6/5-4/3-8/5 1/1-10/9-4/3-5/3
73 0-7-13-19 1-8/5-6/5-9/5 otonal 19.022717 1/1-6/5-8/5-9/5 1/1-4/3-3/2-5/3 1/1-9/8-5/4-3/2 1/1-10/9-4/3-16/9
74 0-2-14-19 1-8/7-9/7-9/5 werckismic 19.044407 1/1-8/7-9/7-9/5 1/1-9/8-11/7-7/4 1/1-7/5-14/9-16/9 1/1-10/9-14/11-10/7
75 0-5-14-19 1-7/5-9/7-9/5 swetismic 19.044482 1/1-9/7-7/5-9/5 1/1-12/11-7/5-14/9 1/1-9/7-10/7-11/6 1/1-10/9-10/7-14/9
76 0-6-14-19 1-3/2-9/7-9/5 utonal 19.044568 1/1-9/7-3/2-9/5 1/1-7/6-7/5-14/9 1/1-6/5-4/3-12/7 1/1-10/9-10/7-5/3
77 0-7-14-19 1-8/5-9/7-9/5 marvel 19.044738 1/1-9/7-8/5-9/5 1/1-5/4-7/5-14/9 1/1-9/8-5/4-8/5 1/1-10/9-10/7-16/9
78 0-12-14-19 1-9/8-9/7-9/5 utonal 19.055285 1/1-9/8-9/7-9/5 1/1-8/7-8/5-16/9 1/1-7/5-14/9-7/4 1/1-10/9-5/4-10/7
79 0-2-17-19 1-8/7-11/7-9/5 werckismic 19.321939 1/1-8/7-11/7-9/5 1/1-11/8-11/7-7/4 1/1-8/7-14/11-16/11 1/1-10/9-14/11-7/4
80 0-5-17-19 1-7/5-11/7-9/5 werckismic 19.322001 1/1-7/5-11/7-9/5 1/1-9/8-9/7-10/7 1/1-8/7-14/11-16/9 1/1-10/9-14/9-7/4
81 0-12-17-19 1-9/8-11/7-9/5 werckismic 19.330919 1/1-9/8-11/7-9/5 1/1-7/5-8/5-16/9 1/1-8/7-14/11-10/7 1/1-10/9-5/4-7/4
82 0-14-17-19 1-9/7-11/7-9/5 werckismic 19.357554 1/1-9/7-11/7-9/5 1/1-11/9-7/5-14/9 1/1-8/7-14/11-18/11 1/1-10/9-10/7-7/4
83 0-3-5-22 1-11/9-7/5-11/10 werckismic 22.000014 1/1-11/10-11/9-7/5 1/1-10/9-14/11-20/11 1/1-8/7-18/11-9/5 1/1-10/7-11/7-7/4
84 0-5-7-22 1-7/5-8/5-11/10 otonal 22.000055 1/1-11/10-7/5-8/5 1/1-14/11-16/11-20/11 1/1-8/7-10/7-11/7 1/1-5/4-11/8-7/4
85 0-3-8-22 1-11/9-12/7-11/10 swetismic 22.000091 1/1-11/10-11/9-12/7 1/1-10/9-14/9-20/11 1/1-7/5-18/11-9/5 1/1-7/6-9/7-10/7
86 0-5-8-22 1-7/5-12/7-11/10 swetismic 22.000099 1/1-11/10-7/5-12/7 1/1-14/11-14/9-20/11 1/1-11/9-10/7-11/7 1/1-7/6-9/7-18/11
87 0-3-9-22 1-11/9-11/6-11/10 utonal 22.000179 1/1-11/10-11/9-11/6 1/1-10/9-5/3-20/11 1/1-3/2-18/11-9/5 1/1-12/11-6/5-4/3
88 0-7-9-22 1-8/5-11/6-11/10 keenanismic 22.000220 1/1-11/10-8/5-11/6 1/1-16/11-5/3-20/11 1/1-8/7-5/4-11/8 1/1-12/11-6/5-7/4
89 0-5-13-22 1-7/5-6/5-11/10 otonal 22.002826 1/1-11/10-6/5-7/5 1/1-12/11-14/11-20/11 1/1-7/6-5/3-11/6 1/1-10/7-11/7-12/7
90 0-7-13-22 1-8/5-6/5-11/10 otonal 22.002859 1/1-11/10-6/5-8/5 1/1-12/11-16/11-20/11 1/1-4/3-5/3-11/6 1/1-5/4-11/8-3/2
91 0-8-13-22 1-12/7-6/5-11/10 swetismic 22.002903 1/1-11/10-6/5-12/7 1/1-12/11-14/9-20/11 1/1-10/7-5/3-11/6 1/1-7/6-9/7-7/5
92 0-5-14-22 1-7/5-9/7-11/10 swetismic 22.005636 1/1-11/10-9/7-7/5 1/1-7/6-14/11-20/11 1/1-12/11-14/9-12/7 1/1-10/7-11/7-11/6
93 0-7-14-22 1-8/5-9/7-11/10 unimarvel 22.005669 1/1-11/10-9/7-8/5 1/1-7/6-16/11-20/11 1/1-5/4-14/9-12/7 1/1-5/4-11/8-8/5
94 0-8-14-22 1-12/7-9/7-11/10 swetismic 22.005713 1/1-11/10-9/7-12/7 1/1-7/6-14/9-20/11 1/1-4/3-14/9-12/7 1/1-7/6-9/7-3/2
95 0-9-14-22 1-11/6-9/7-11/10 swetismic 22.005800 1/1-11/10-9/7-11/6 1/1-7/6-5/3-20/11 1/1-10/7-14/9-12/7 1/1-12/11-6/5-7/5
96 0-3-15-22 1-11/9-11/8-11/10 utonal 22.011230 1/1-11/10-11/9-11/8 1/1-10/9-5/4-20/11 1/1-9/8-18/11-9/5 1/1-16/11-8/5-16/9
97 0-7-15-22 1-8/5-11/8-11/10 keenanismic 22.011271 1/1-11/10-11/8-8/5 1/1-5/4-16/11-20/11 1/1-7/6-16/11-8/5 1/1-5/4-11/8-12/7
98 0-8-15-22 1-12/7-11/8-11/10 unimarvel 22.011315 1/1-11/10-11/8-12/7 1/1-5/4-14/9-20/11 1/1-5/4-16/11-8/5 1/1-7/6-9/7-8/5
99 0-9-15-22 1-11/6-11/8-11/10 utonal 22.011402 1/1-11/10-11/8-11/6 1/1-5/4-5/3-20/11 1/1-4/3-16/11-8/5 1/1-12/11-6/5-3/2
100 0-13-15-22 1-6/5-11/8-11/10 keenanismic 22.014021 1/1-11/10-6/5-11/8 1/1-12/11-5/4-20/11 1/1-8/7-5/3-11/6 1/1-16/11-8/5-7/4
101 0-3-17-22 1-11/9-11/7-11/10 utonal 22.044397 1/1-11/10-11/9-11/7 1/1-10/9-10/7-20/11 1/1-9/7-18/11-9/5 1/1-14/11-7/5-14/9
102 0-5-17-22 1-7/5-11/7-11/10 werckismic 22.044405 1/1-11/10-7/5-11/7 1/1-14/11-10/7-20/11 1/1-9/8-10/7-11/7 1/1-14/11-7/5-16/9
103 0-8-17-22 1-12/7-11/7-11/10 swetismic 22.044480 1/1-11/10-11/7-12/7 1/1-10/7-14/9-20/11 1/1-12/11-14/11-7/5 1/1-7/6-9/7-11/6
104 0-9-17-22 1-11/6-11/7-11/10 utonal 22.044565 1/1-11/10-11/7-11/6 1/1-10/7-5/3-20/11 1/1-7/6-14/11-7/5 1/1-12/11-6/5-12/7
105 0-14-17-22 1-9/7-11/7-11/10 swetismic 22.049849 1/1-11/10-9/7-11/7 1/1-7/6-10/7-20/11 1/1-11/9-14/9-12/7 1/1-14/11-7/5-18/11
106 0-15-17-22 1-11/8-11/7-11/10 utonal 22.055283 1/1-11/10-11/8-11/7 1/1-5/4-10/7-20/11 1/1-8/7-16/11-8/5 1/1-14/11-7/5-7/4
107 0-5-19-22 1-7/5-9/5-11/10 otonal 22.169935 1/1-11/10-7/5-9/5 1/1-14/11-18/11-20/11 1/1-9/7-10/7-11/7 1/1-10/9-11/9-14/9
108 0-7-19-22 1-8/5-9/5-11/10 otonal 22.169964 1/1-11/10-8/5-9/5 1/1-16/11-18/11-20/11 1/1-9/8-5/4-11/8 1/1-10/9-11/9-16/9
109 0-13-19-22 1-6/5-9/5-11/10 otonal 22.172428 1/1-11/10-6/5-9/5 1/1-12/11-18/11-20/11 1/1-3/2-5/3-11/6 1/1-10/9-11/9-4/3
110 0-14-19-22 1-9/7-9/5-11/10 swetismic 22.174926 1/1-11/10-9/7-9/5 1/1-7/6-18/11-20/11 1/1-7/5-14/9-12/7 1/1-10/9-11/9-10/7
111 0-17-19-22 1-11/7-9/5-11/10 werckismic 22.209454 1/1-11/10-11/7-9/5 1/1-10/7-18/11-20/11 1/1-8/7-14/11-7/5 1/1-10/9-11/9-7/4

Pentads

# Chord Transversal Type Hash
1 0-3-6-9-12 1-11/9-3/2-11/6-9/8 rastmic 12.192601
2 0-2-5-7-14 1-8/7-7/5-8/5-9/7 miracle 14.014456
3 0-2-5-8-14 1-8/7-7/5-12/7-9/7 jove 14.025572
4 0-2-7-9-14 1-8/7-8/5-11/6-9/7 unimarvel 14.055706
5 0-5-7-12-14 1-7/5-8/5-9/8-9/7 unimarvel 14.333225
6 0-6-9-12-14 1-3/2-11/6-9/8-9/7 jove 14.362012
7 0-7-9-12-14 1-8/5-11/6-9/8-9/7 miracle 14.366391
8 0-3-6-8-15 1-11/9-3/2-12/7-11/8 miracle 15.014413
9 0-3-6-9-15 1-11/9-3/2-11/6-11/8 rastmic 15.025529
10 0-2-7-9-15 1-8/7-8/5-11/6-11/8 keenanismic 15.028122
11 0-3-6-12-15 1-11/9-3/2-9/8-11/8 rastmic 15.172779
12 0-3-9-12-15 1-11/9-11/6-9/8-11/8 rastmic 15.190172
13 0-6-9-12-15 1-3/2-11/6-9/8-11/8 rastmic 15.192331
14 0-7-9-12-15 1-8/5-11/6-9/8-11/8 miracle 15.194795
15 0-6-8-13-15 1-3/2-12/7-6/5-11/8 keenanismic 15.333190
16 0-2-5-8-17 1-8/7-7/5-12/7-11/7 jove 17.003221
17 0-3-5-8-17 1-11/9-7/5-12/7-11/7 jove 17.003265
18 0-3-5-12-17 1-11/9-7/5-9/8-11/7 miracle 17.044832
19 0-3-9-12-17 1-11/9-11/6-9/8-11/7 jove 17.049944
20 0-2-5-14-17 1-8/7-7/5-9/7-11/7 jove 17.170287
21 0-2-8-14-17 1-8/7-12/7-9/7-11/7 otonal 17.172476
22 0-5-8-14-17 1-7/5-12/7-9/7-11/7 jove 17.172750
23 0-2-9-14-17 1-8/7-11/6-9/7-11/7 unimarvel 17.174974
24 0-5-12-14-17 1-7/5-9/8-9/7-11/7 miracle 17.209767
25 0-9-12-14-17 1-11/6-9/8-9/7-11/7 jove 17.214329
26 0-2-8-15-17 1-8/7-12/7-11/8-11/7 keenanismic 17.324225
27 0-3-8-15-17 1-11/9-12/7-11/8-11/7 unimarvel 17.324260
28 0-2-9-15-17 1-8/7-11/6-11/8-11/7 keenanismic 17.326473
29 0-3-9-15-17 1-11/9-11/6-11/8-11/7 utonal 17.326508
30 0-3-12-15-17 1-11/9-9/8-11/8-11/7 jove 17.357629
31 0-9-12-15-17 1-11/6-9/8-11/8-11/7 jove 17.361952
32 0-2-5-7-19 1-8/7-7/5-8/5-9/5 werckismic 19.000454
33 0-5-7-12-19 1-7/5-8/5-9/8-9/5 marvel 19.011667
34 0-5-7-13-19 1-7/5-8/5-6/5-9/5 otonal 19.022804
35 0-2-5-14-19 1-8/7-7/5-9/7-9/5 jove 19.044493
36 0-2-7-14-19 1-8/7-8/5-9/7-9/5 prodigy 19.044749
37 0-5-7-14-19 1-7/5-8/5-9/7-9/5 unimarvel 19.044824
38 0-5-12-14-19 1-7/5-9/8-9/7-9/5 unimarvel 19.055370
39 0-6-12-14-19 1-3/2-9/8-9/7-9/5 utonal 19.055455
40 0-7-12-14-19 1-8/5-9/8-9/7-9/5 marvel 19.055624
41 0-2-5-17-19 1-8/7-7/5-11/7-9/5 werckismic 19.322010
42 0-5-12-17-19 1-7/5-9/8-11/7-9/5 prodigy 19.330989
43 0-2-14-17-19 1-8/7-9/7-11/7-9/5 werckismic 19.357563
44 0-5-14-17-19 1-7/5-9/7-11/7-9/5 jove 19.357623
45 0-12-14-17-19 1-9/8-9/7-11/7-9/5 werckismic 19.366324
46 0-3-5-8-22 1-11/9-7/5-12/7-11/10 jove 22.000102
47 0-5-7-13-22 1-7/5-8/5-6/5-11/10 otonal 22.002870
48 0-5-8-13-22 1-7/5-12/7-6/5-11/10 swetismic 22.002914
49 0-5-7-14-22 1-7/5-8/5-9/7-11/10 unimarvel 22.005680
50 0-5-8-14-22 1-7/5-12/7-9/7-11/10 swetismic 22.005724
51 0-7-9-14-22 1-8/5-11/6-9/7-11/10 unimarvel 22.005844
52 0-3-8-15-22 1-11/9-12/7-11/8-11/10 unimarvel 22.011318
53 0-3-9-15-22 1-11/9-11/6-11/8-11/10 utonal 22.011405
54 0-7-9-15-22 1-8/5-11/6-11/8-11/10 keenanismic 22.011446
55 0-7-13-15-22 1-8/5-6/5-11/8-11/10 keenanismic 22.014064
56 0-8-13-15-22 1-12/7-6/5-11/8-11/10 unimarvel 22.014108
57 0-3-5-17-22 1-11/9-7/5-11/7-11/10 werckismic 22.044408
58 0-3-8-17-22 1-11/9-12/7-11/7-11/10 swetismic 22.044483
59 0-5-8-17-22 1-7/5-12/7-11/7-11/10 jove 22.044491
60 0-3-9-17-22 1-11/9-11/6-11/7-11/10 utonal 22.044568
61 0-5-14-17-22 1-7/5-9/7-11/7-11/10 jove 22.049860
62 0-8-14-17-22 1-12/7-9/7-11/7-11/10 swetismic 22.049934
63 0-9-14-17-22 1-11/6-9/7-11/7-11/10 swetismic 22.050019
64 0-3-15-17-22 1-11/9-11/8-11/7-11/10 utonal 22.055285
65 0-8-15-17-22 1-12/7-11/8-11/7-11/10 unimarvel 22.055368
66 0-9-15-17-22 1-11/6-11/8-11/7-11/10 utonal 22.055452
67 0-5-7-19-22 1-7/5-8/5-9/5-11/10 otonal 22.169974
68 0-5-13-19-22 1-7/5-6/5-9/5-11/10 otonal 22.172438
69 0-7-13-19-22 1-8/5-6/5-9/5-11/10 otonal 22.172467
70 0-5-14-19-22 1-7/5-9/7-9/5-11/10 swetismic 22.174936
71 0-7-14-19-22 1-8/5-9/7-9/5-11/10 unimarvel 22.174965
72 0-5-17-19-22 1-7/5-11/7-9/5-11/10 werckismic 22.209463
73 0-14-17-19-22 1-9/7-11/7-9/5-11/10 jove 22.214319

Hexads

# Chord Transversal Type Hash
1 0-3-6-9-12-15 1-11/9-3/2-11/6-9/8-11/8 rastmic 15.192640
2 0-2-5-8-14-17 1-8/7-7/5-12/7-9/7-11/7 jove 17.172789
3 0-3-9-12-15-17 1-11/9-11/6-9/8-11/8-11/7 jove 17.362021
4 0-2-5-7-14-19 1-8/7-7/5-8/5-9/7-9/5 miracle 19.044834
5 0-5-7-12-14-19 1-7/5-8/5-9/8-9/7-9/5 unimarvel 19.055709
6 0-2-5-14-17-19 1-8/7-7/5-9/7-11/7-9/5 jove 19.357631
7 0-5-12-14-17-19 1-7/5-9/8-9/7-11/7-9/5 miracle 19.366393
8 0-3-5-8-17-22 1-11/9-7/5-12/7-11/7-11/10 jove 22.044493
9 0-5-8-14-17-22 1-7/5-12/7-9/7-11/7-11/10 jove 22.049945
10 0-3-8-15-17-22 1-11/9-12/7-11/8-11/7-11/10 unimarvel 22.055370
11 0-3-9-15-17-22 1-11/9-11/6-11/8-11/7-11/10 utonal 22.055455
12 0-5-7-13-19-22 1-7/5-8/5-6/5-9/5-11/10 otonal 22.172477
13 0-5-7-14-19-22 1-7/5-8/5-9/7-9/5-11/10 unimarvel 22.174975
14 0-5-14-17-19-22 1-7/5-9/7-11/7-9/5-11/10 jove 22.214329