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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Breadcrumb|Magic}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | Below is a complete list of the [[11-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[magic|magic temperament]]. Note that there are many common chords, for example [[8:10:12:15]], which are not listed; in this case due to [[15/8]] not being in the 11-odd-limit. Every chord listed has multiple [[chord #Inversion|inversions]]; only one is listed, that being the inversion where all notes are a nonnegative number of major third [[generator]]s above the root. |
| : This revision was by author [[User:x31eq|x31eq]] and made on <tt>2014-08-17 05:03:57 UTC</tt>.<br>
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| : The original revision id was <tt>518731298</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.
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| Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.
| | Typing the chords requires consideration of the fact that magic conflates [[10/9]] and [[11/10]] and so also [[9/5]] and [[20/11]]. If a [[transversal]] can be found which shows the chord to be essentially just, that transversal is listed along with a typing as [[otonal]], [[utonal]], or [[ambitonal]]. If the chord is essentially tempered, it is analyzed in terms of the transversal that requires the minimum amount of commas to be tempered out; if there is a tie between multiple transversals, it is analyzed in terms of the transversal which employs 10/9 and 9/5. |
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| Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.
| | Chords requiring tempering only by [[225/224]] are labeled [[marvel chords|marvel]], by [[245/243]] [[sensamagic chords|sensamagic]], by [[100/99]] [[ptolemismic chords|ptolemismic]], by [[896/891]] [[pentacircle chords|pentacircle]], by [[385/384]] [[keenanismic chords|keenanismic]], and by [[540/539]] [[swetismic chords|swetismic]]. Those requiring any two of 100/99, 225/224 or 896/891 are labeled [[apollo chords|apollo]], any two of 100/99, 245/243 or 540/539 [[octarod chords|octarod]], any two of 245/243, 896/891 or 385/384 [[undecimal sensamagic chords|sensamagic11]], any two of 225/224, 385/384, or 540/539 [[undecimal marvel chords|marvel11]]. Chords requiring both 100/99 and 385/384 are labeled [[keemic chords|keemic]]. Finally, anything requiring three independent commas among those discussed above is labeled [[magic chords|magic]]. |
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| =Triads=
| | Magic has [[mos scale]]s of 7, 10, 13, 16, 19, and 22 notes. It may be seen that even the 7-note mos is not without a few harmonic resources, and the larger ones do much better. |
| || Number || Chord || Transversal || Type ||
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| || 1 || 0-1-2 || 1-5/4-14/9 || marvel ||
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| || 2 || 0-2-4 || 1-14/9-6/5 || sensamagic ||
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| || 3 || 0-1-5 || 1-5/4-3/2 || otonal ||
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| || 4 || 0-4-5 || 1-6/5-3/2 || utonal ||
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| || 5 || 0-2-7 || 1-14/9-7/6 || utonal ||
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| || 6 || 0-5-7 || 1-3/2-7/6 || otonal ||
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| || 7 || 0-1-8 || 1-5/4-16/11 || keenanismic ||
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| || 8 || 0-4-8 || 1-6/5-16/11 || ptolemismic ||
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| || 9 || 0-7-8 || 1-7/6-16/11 || keenanismic ||
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| || 10 || 0-1-9 || 1-5/4-20/11 || utonal ||
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| || 11 || 0-2-9 || 1-14/9-9/5 || sensamagic ||
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| || 12 || 0-4-9 || 1-6/5-9/5 || otonal ||
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| || 13 || 0-5-9 || 1-3/2-9/5 || utonal ||
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| || 14 || 0-7-9 || 1-7/6-9/5 || sensamagic ||
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| || 15 || 0-8-9 || 1-16/11-20/11 || otonal ||
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| || 16 || 0-1-10 || 1-5/4-9/8 || otonal ||
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| || 17 || 0-2-10 || 1-14/9-9/8 || pentacircle ||
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| || 18 || 0-5-10 || 1-3/2-9/8 || ambitonal ||
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| || 19 || 0-8-10 || 1-16/11-9/8 || pentacircle ||
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| || 20 || 0-9-10 || 1-9/5-9/8 || utonal ||
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| || 21 || 0-1-11 || 1-5/4-7/5 || marvel ||
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| || 22 || 0-2-11 || 1-14/9-7/5 || utonal ||
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| || 23 || 0-4-11 || 1-6/5-7/5 || otonal ||
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| || 24 || 0-7-11 || 1-7/6-7/5 || utonal ||
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| || 25 || 0-9-11 || 1-9/5-7/5 || otonal ||
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| || 26 || 0-10-11 || 1-9/8-7/5 || marvel ||
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| || 27 || 0-1-12 || 1-5/4-7/4 || otonal ||
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| || 28 || 0-2-12 || 1-14/9-7/4 || utonal ||
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| || 29 || 0-4-12 || 1-6/5-7/4 || keenanismic ||
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| || 30 || 0-5-12 || 1-3/2-7/4 || otonal ||
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| || 31 || 0-7-12 || 1-7/6-7/4 || utonal ||
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| || 32 || 0-8-12 || 1-16/11-7/4 || keenanismic ||
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| || 33 || 0-10-12 || 1-9/8-7/4 || otonal ||
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| || 34 || 0-11-12 || 1-7/5-7/4 || utonal ||
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| || 35 || 0-1-13 || 1-5/4-12/11 || keenanismic ||
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| || 36 || 0-2-13 || 1-14/9-12/11 || swetismic ||
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| || 37 || 0-4-13 || 1-6/5-12/11 || utonal ||
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| || 38 || 0-5-13 || 1-3/2-12/11 || utonal ||
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| || 39 || 0-8-13 || 1-16/11-12/11 || otonal ||
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| || 40 || 0-9-13 || 1-20/11-12/11 || otonal ||
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| || 41 || 0-11-13 || 1-7/5-12/11 || swetismic ||
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| || 42 || 0-12-13 || 1-7/4-12/11 || keenanismic ||
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| || 43 || 0-5-18 || 1-3/2-18/11 || utonal ||
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| || 44 || 0-7-18 || 1-7/6-18/11 || swetismic ||
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| || 45 || 0-8-18 || 1-16/11-18/11 || otonal ||
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| || 46 || 0-9-18 || 1-9/5-18/11 || utonal ||
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| || 47 || 0-10-18 || 1-9/8-18/11 || utonal ||
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| || 48 || 0-11-18 || 1-7/5-18/11 || swetismic ||
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| || 49 || 0-13-18 || 1-12/11-18/11 || otonal ||
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| || 50 || 0-2-20 || 1-14/9-14/11 || utonal ||
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| || 51 || 0-7-20 || 1-7/6-14/11 || utonal ||
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| || 52 || 0-8-20 || 1-16/11-14/11 || otonal ||
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| || 53 || 0-9-20 || 1-20/11-14/11 || otonal ||
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| || 54 || 0-10-20 || 1-9/8-14/11 || pentacircle ||
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| || 55 || 0-11-20 || 1-7/5-14/11 || utonal ||
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| || 56 || 0-12-20 || 1-7/4-14/11 || utonal ||
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| || 57 || 0-13-20 || 1-12/11-14/11 || otonal ||
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| || 58 || 0-18-20 || 1-18/11-14/11 || otonal ||
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| =Tetrads=
| | [[Kite Giedraitis]] has named the chords using arrows (ups and downs), as described in [[Kite's thoughts on pergens]]. The pergen is (P8, P12/5) fifth-of-a-twelfth, #37 in the [http://tallkite.com/misc_files/notation%20guide%20for%20rank-2%20pergens.pdf list of pergens]. One up is 19 generators, octave-reduced. The generator is {{nowrap| vM3 {{=}} 380{{c}} + ''c''/5 }}, where ''c'' is the amount in cents the tempered fifth exceeds 700{{c}}. The [[Kite's thoughts on enharmonic unisons in ups and downs notation|enharmonic unison]] is ^<sup>5</sup>dd2, thus {{nowrap|^<sup>5</sup>C {{=}} Bx}}. To simplify the chord names, slashes (lifts and drops) are also used. One lift is -22 generators, octave-reduced. Thus {{nowrap|/1 {{=}} −25''G'' + 3''G'' {{=}} m2 + ^^d8 {{=}} ^^d2}}. Thus a lift equals two ups minus a tempered pythagorean comma, so {{nowrap| /C {{=}} ^^Dbb }}, {{nowrap| \C {{=}} vvB# }}, {{nowrap| ^^C {{=}} /B# }}, and {{nowrap| vvC {{=}} \Dbb }}. The cents values of sharps, ups and lifts vary greatly, as this table shows. Note that if the fifth is wider than 22edo's fifth, a lift will actually be descending. Furthermore, if the fifth is narrower than 19edo's, an up will be descending. |
| || Number || Chord || Transversal || Type ||
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| || 1 || 0-1-2-9 || 1-5/4-14/9-9/5 || magic ||
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| || 2 || 0-2-4-9 || 1-14/9-6/5-9/5 || sensamagic ||
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| || 3 || 0-1-5-9 || 1-5/4-3/2-9/5 || ptolemismic ||
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| || 4 || 0-4-5-9 || 1-6/5-3/2-9/5 || ambitonal ||
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| || 5 || 0-2-7-9 || 1-14/9-7/6-9/5 || sensamagic ||
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| || 6 || 0-5-7-9 || 1-3/2-7/6-9/5 || sensamagic || | |
| || 7 || 0-1-8-9 || 1-5/4-16/11-9/5 || supermagic ||
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| || 8 || 0-4-8-9 || 1-6/5-16/11-9/5 || ptolemismic ||
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| || 9 || 0-7-8-9 || 1-7/6-16/11-9/5 || magic ||
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| || 10 || 0-1-2-10 || 1-5/4-14/9-9/8 || apollo ||
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| || 11 || 0-1-5-10 || 1-5/4-3/2-9/8 || otonal ||
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| || 12 || 0-1-8-10 || 1-5/4-16/11-9/8 || sensamagic11 ||
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| || 13 || 0-1-9-10 || 1-5/4-9/5-9/8 || ptolemismic ||
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| || 14 || 0-2-9-10 || 1-14/9-9/5-9/8 || sensamagic11 ||
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| || 15 || 0-5-9-10 || 1-3/2-9/5-9/8 || utonal ||
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| || 16 || 0-8-9-10 || 1-16/11-9/5-9/8 || apollo ||
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| || 17 || 0-1-2-11 || 1-5/4-14/9-7/5 || marvel ||
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| || 18 || 0-2-4-11 || 1-14/9-6/5-7/5 || sensamagic ||
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| || 19 || 0-2-7-11 || 1-14/9-7/6-7/5 || utonal ||
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| || 20 || 0-1-9-11 || 1-5/4-9/5-7/5 || apollo ||
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| || 21 || 0-2-9-11 || 1-14/9-9/5-7/5 || sensamagic ||
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| || 22 || 0-4-9-11 || 1-6/5-9/5-7/5 || otonal ||
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| || 23 || 0-7-9-11 || 1-7/6-9/5-7/5 || sensamagic ||
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| || 24 || 0-1-10-11 || 1-5/4-9/8-7/5 || marvel ||
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| || 25 || 0-2-10-11 || 1-14/9-9/8-7/5 || apollo ||
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| || 26 || 0-9-10-11 || 1-9/5-9/8-7/5 || marvel ||
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| || 27 || 0-1-2-12 || 1-5/4-14/9-7/4 || marvel ||
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| || 28 || 0-2-4-12 || 1-14/9-6/5-7/4 || sensamagic11 ||
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| || 29 || 0-1-5-12 || 1-5/4-3/2-7/4 || otonal ||
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| || 30 || 0-4-5-12 || 1-6/5-3/2-7/4 || keenanismic ||
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| || 31 || 0-2-7-12 || 1-14/9-7/6-7/4 || utonal ||
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| || 32 || 0-5-7-12 || 1-3/2-7/6-7/4 || ambitonal ||
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| || 33 || 0-1-8-12 || 1-5/4-16/11-7/4 || keenanismic ||
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| || 34 || 0-4-8-12 || 1-6/5-16/11-7/4 || supermagic ||
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| || 35 || 0-7-8-12 || 1-7/6-16/11-7/4 || keenanismic ||
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| || 36 || 0-1-10-12 || 1-5/4-9/8-7/4 || otonal ||
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| || 37 || 0-2-10-12 || 1-14/9-9/8-7/4 || pentacircle ||
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| || 38 || 0-5-10-12 || 1-3/2-9/8-7/4 || otonal ||
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| || 39 || 0-8-10-12 || 1-16/11-9/8-7/4 || sensamagic11 ||
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| || 40 || 0-1-11-12 || 1-5/4-7/5-7/4 || marvel ||
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| || 41 || 0-2-11-12 || 1-14/9-7/5-7/4 || utonal ||
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| || 42 || 0-4-11-12 || 1-6/5-7/5-7/4 || keenanismic ||
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| || 43 || 0-7-11-12 || 1-7/6-7/5-7/4 || utonal ||
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| || 44 || 0-10-11-12 || 1-9/8-7/5-7/4 || marvel ||
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| || 45 || 0-1-2-13 || 1-5/4-14/9-12/11 || unimarvel ||
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| || 46 || 0-2-4-13 || 1-14/9-6/5-12/11 || octarod ||
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| || 47 || 0-1-5-13 || 1-5/4-3/2-12/11 || keenanismic ||
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| || 48 || 0-4-5-13 || 1-6/5-3/2-12/11 || utonal ||
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| || 49 || 0-1-8-13 || 1-5/4-16/11-12/11 || keenanismic ||
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| || 50 || 0-4-8-13 || 1-6/5-16/11-12/11 || ptolemismic ||
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| || 51 || 0-1-9-13 || 1-5/4-9/5-12/11 || supermagic ||
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| || 52 || 0-2-9-13 || 1-14/9-9/5-12/11 || octarod ||
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| || 53 || 0-4-9-13 || 1-6/5-9/5-12/11 || ptolemismic ||
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| || 54 || 0-5-9-13 || 1-3/2-9/5-12/11 || ptolemismic ||
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| || 55 || 0-8-9-13 || 1-16/11-20/11-12/11 || otonal ||
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| || 56 || 0-1-11-13 || 1-5/4-7/5-12/11 || unimarvel ||
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| || 57 || 0-2-11-13 || 1-14/9-7/5-12/11 || swetismic ||
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| || 58 || 0-4-11-13 || 1-6/5-7/5-12/11 || octarod ||
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| || 59 || 0-9-11-13 || 1-9/5-7/5-12/11 || octarod ||
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| || 60 || 0-1-12-13 || 1-5/4-7/4-12/11 || keenanismic ||
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| || 61 || 0-2-12-13 || 1-14/9-7/4-12/11 || unimarvel ||
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| || 62 || 0-4-12-13 || 1-6/5-7/4-12/11 || supermagic ||
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| || 63 || 0-5-12-13 || 1-3/2-7/4-12/11 || keenanismic ||
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| || 64 || 0-8-12-13 || 1-16/11-7/4-12/11 || keenanismic ||
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| || 65 || 0-11-12-13 || 1-7/5-7/4-12/11 || unimarvel ||
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| || 66 || 0-5-7-18 || 1-3/2-7/6-18/11 || swetismic ||
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| || 67 || 0-7-8-18 || 1-7/6-16/11-18/11 || unimarvel ||
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| || 68 || 0-5-9-18 || 1-3/2-9/5-18/11 || utonal ||
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| || 69 || 0-7-9-18 || 1-7/6-9/5-18/11 || octarod ||
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| || 70 || 0-8-9-18 || 1-16/11-20/11-18/11 || otonal ||
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| || 71 || 0-5-10-18 || 1-3/2-9/8-18/11 || utonal ||
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| || 72 || 0-8-10-18 || 1-16/11-9/8-18/11 || pentacircle ||
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| || 73 || 0-9-10-18 || 1-9/5-9/8-18/11 || utonal ||
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| || 74 || 0-7-11-18 || 1-7/6-7/5-18/11 || swetismic ||
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| || 75 || 0-9-11-18 || 1-9/5-7/5-18/11 || octarod ||
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| || 76 || 0-10-11-18 || 1-9/8-7/5-18/11 || unimarvel ||
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| || 77 || 0-5-13-18 || 1-3/2-12/11-18/11 || ambitonal ||
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| || 78 || 0-8-13-18 || 1-16/11-12/11-18/11 || otonal ||
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| || 79 || 0-9-13-18 || 1-20/11-12/11-18/11 || otonal ||
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| || 80 || 0-11-13-18 || 1-7/5-12/11-18/11 || swetismic ||
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| || 81 || 0-2-7-20 || 1-14/9-7/6-14/11 || utonal ||
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| || 82 || 0-7-8-20 || 1-7/6-16/11-14/11 || keenanismic ||
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| || 83 || 0-2-9-20 || 1-14/9-9/5-14/11 || octarod ||
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| || 84 || 0-7-9-20 || 1-7/6-9/5-14/11 || octarod ||
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| || 85 || 0-8-9-20 || 1-16/11-20/11-14/11 || otonal ||
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| || 86 || 0-2-10-20 || 1-14/9-9/8-14/11 || pentacircle ||
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| || 87 || 0-8-10-20 || 1-16/11-9/8-14/11 || pentacircle ||
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| || 88 || 0-9-10-20 || 1-9/5-9/8-14/11 || apollo ||
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| || 89 || 0-2-11-20 || 1-14/9-7/5-14/11 || utonal ||
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| || 90 || 0-7-11-20 || 1-7/6-7/5-14/11 || utonal ||
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| || 91 || 0-9-11-20 || 1-9/5-7/5-14/11 || ptolemismic ||
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| || 92 || 0-10-11-20 || 1-9/8-7/5-14/11 || apollo ||
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| || 93 || 0-2-12-20 || 1-14/9-7/4-14/11 || utonal ||
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| || 94 || 0-7-12-20 || 1-7/6-7/4-14/11 || utonal ||
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| || 95 || 0-8-12-20 || 1-16/11-7/4-14/11 || keenanismic ||
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| || 96 || 0-10-12-20 || 1-9/8-7/4-14/11 || pentacircle ||
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| || 97 || 0-11-12-20 || 1-7/5-7/4-14/11 || utonal ||
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| || 98 || 0-2-13-20 || 1-14/9-12/11-14/11 || swetismic ||
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| || 99 || 0-8-13-20 || 1-16/11-12/11-14/11 || otonal ||
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| || 100 || 0-9-13-20 || 1-20/11-12/11-14/11 || otonal ||
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| || 101 || 0-11-13-20 || 1-7/5-12/11-14/11 || octarod ||
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| || 102 || 0-12-13-20 || 1-7/4-12/11-14/11 || keenanismic ||
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| || 103 || 0-7-18-20 || 1-7/6-18/11-14/11 || swetismic ||
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| || 104 || 0-8-18-20 || 1-16/11-18/11-14/11 || otonal ||
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| || 105 || 0-9-18-20 || 1-20/11-18/11-14/11 || otonal ||
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| || 106 || 0-10-18-20 || 1-9/8-18/11-14/11 || pentacircle ||
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| || 107 || 0-11-18-20 || 1-7/5-18/11-14/11 || octarod ||
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| || 108 || 0-13-18-20 || 1-12/11-18/11-14/11 || otonal ||
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| =Pentads= | | {| class="wikitable mw-collapsible mw-collapsed" |
| || Number || Chord || Transversal || Type ||
| | |+ style="font-size: 105%; white-space: nowrap;" | Cents values of magic accidentals in various tunings |
| || 1 || 0-1-2-9-10 || 1-5/4-14/9-9/5-9/8 || magic ||
| | |- |
| || 2 || 0-1-5-9-10 || 1-5/4-3/2-9/5-9/8 || ptolemismic || | | ! |
| || 3 || 0-1-8-9-10 || 1-5/4-16/11-9/5-9/8 || magic ||
| | ! Sharp |
| || 4 || 0-1-2-9-11 || 1-5/4-14/9-9/5-7/5 || magic || | | ! Up |
| || 5 || 0-2-4-9-11 || 1-14/9-6/5-9/5-7/5 || sensamagic ||
| | ! Lift |
| || 6 || 0-2-7-9-11 || 1-14/9-7/6-9/5-7/5 || sensamagic ||
| | ! How to convert the notation to the edo |
| || 7 || 0-1-2-10-11 || 1-5/4-14/9-9/8-7/5 || apollo ||
| | |- |
| || 8 || 0-1-9-10-11 || 1-5/4-9/5-9/8-7/5 || apollo ||
| | ! 19edo |
| || 9 || 0-2-9-10-11 || 1-14/9-9/5-9/8-7/5 || magic ||
| | | 1\19 = 61{{c}} |
| || 10 || 0-1-2-10-12 || 1-5/4-14/9-9/8-7/4 || apollo || | | | 0\19 = 0{{c}} |
| || 11 || 0-1-5-10-12 || 1-5/4-3/2-9/8-7/4 || otonal ||
| | | 1\19 = 61{{c}} |
| || 12 || 0-1-8-10-12 || 1-5/4-16/11-9/8-7/4 || sensamagic11 || | | | Ignore the arrows, treat slashes as sharps/flats |
| || 13 || 0-1-2-11-12 || 1-5/4-14/9-7/5-7/4 || marvel ||
| | |- |
| || 14 || 0-2-4-11-12 || 1-14/9-6/5-7/5-7/4 || sensamagic11 ||
| | ! 22edo |
| || 15 || 0-2-7-11-12 || 1-14/9-7/6-7/5-7/4 || utonal ||
| | | 3\22 = 164{{c}} |
| || 16 || 0-1-10-11-12 || 1-5/4-9/8-7/5-7/4 || marvel || | | | 1\22 = 55{{c}} |
| || 17 || 0-2-10-11-12 || 1-14/9-9/8-7/5-7/4 || apollo || | | | 0\22 = 0{{c}} |
| || 18 || 0-1-2-9-13 || 1-5/4-14/9-9/5-12/11 || magic ||
| | | Ignore the slashes |
| || 19 || 0-2-4-9-13 || 1-14/9-6/5-9/5-12/11 || octarod || | | |- |
| || 20 || 0-1-5-9-13 || 1-5/4-3/2-9/5-12/11 || supermagic || | | ! 41edo |
| || 21 || 0-4-5-9-13 || 1-6/5-3/2-9/5-12/11 || ptolemismic ||
| | | 4\41 = 117{{c}} |
| || 22 || 0-1-8-9-13 || 1-5/4-16/11-9/5-12/11 || supermagic ||
| | | 1\41 = 29{{c}} |
| || 23 || 0-4-8-9-13 || 1-6/5-16/11-9/5-12/11 || ptolemismic || | | | 1\41 = 29{{c}} |
| || 24 || 0-1-2-11-13 || 1-5/4-14/9-7/5-12/11 || unimarvel || | | | Treat slashes as arrows |
| || 25 || 0-2-4-11-13 || 1-14/9-6/5-7/5-12/11 || octarod ||
| | |- |
| || 26 || 0-1-9-11-13 || 1-5/4-9/5-7/5-12/11 || magic || | | ! 60edo |
| || 27 || 0-2-9-11-13 || 1-14/9-9/5-7/5-12/11 || octarod ||
| | | 5\60 = 100{{c}} |
| || 28 || 0-4-9-11-13 || 1-6/5-9/5-7/5-12/11 || octarod ||
| | | 1\60 = 20{{c}} |
| || 29 || 0-1-2-12-13 || 1-5/4-14/9-7/4-12/11 || unimarvel ||
| | | 2\60 = 40{{c}} |
| || 30 || 0-2-4-12-13 || 1-14/9-6/5-7/4-12/11 || magic ||
| | | Treat slashes as double arrows |
| || 31 || 0-1-5-12-13 || 1-5/4-3/2-7/4-12/11 || keenanismic ||
| | |- |
| || 32 || 0-4-5-12-13 || 1-6/5-3/2-7/4-12/11 || supermagic ||
| | ! Rank-2 |
| || 33 || 0-1-8-12-13 || 1-5/4-16/11-7/4-12/11 || keenanismic ||
| | | 100{{c}} + 7''c'' |
| || 34 || 0-4-8-12-13 || 1-6/5-16/11-7/4-12/11 || supermagic ||
| | | 20{{c}} + 3.8''c'' |
| || 35 || 0-1-11-12-13 || 1-5/4-7/5-7/4-12/11 || unimarvel ||
| | | 40{{c}} − 4.4''c'' |
| || 36 || 0-2-11-12-13 || 1-14/9-7/5-7/4-12/11 || unimarvel ||
| | | N/a |
| || 37 || 0-4-11-12-13 || 1-6/5-7/5-7/4-12/11 || magic ||
| | |} |
| || 38 || 0-5-7-9-18 || 1-3/2-7/6-9/5-18/11 || octarod ||
| |
| || 39 || 0-7-8-9-18 || 1-7/6-16/11-9/5-18/11 || magic ||
| |
| || 40 || 0-5-9-10-18 || 1-3/2-9/5-9/8-18/11 || utonal ||
| |
| || 41 || 0-8-9-10-18 || 1-16/11-9/5-9/8-18/11 || apollo ||
| |
| || 42 || 0-7-9-11-18 || 1-7/6-9/5-7/5-18/11 || octarod || | |
| || 43 || 0-9-10-11-18 || 1-9/5-9/8-7/5-18/11 || magic ||
| |
| || 44 || 0-5-9-13-18 || 1-3/2-9/5-12/11-18/11 || ptolemismic || | |
| || 45 || 0-8-9-13-18 || 1-16/11-20/11-12/11-18/11 || otonal ||
| |
| || 46 || 0-9-11-13-18 || 1-9/5-7/5-12/11-18/11 || octarod || | |
| || 47 || 0-2-7-9-20 || 1-14/9-7/6-9/5-14/11 || octarod ||
| |
| || 48 || 0-7-8-9-20 || 1-7/6-16/11-9/5-14/11 || magic ||
| |
| || 49 || 0-2-9-10-20 || 1-14/9-9/5-9/8-14/11 || magic || | |
| || 50 || 0-8-9-10-20 || 1-16/11-9/5-9/8-14/11 || apollo || | |
| || 51 || 0-2-7-11-20 || 1-14/9-7/6-7/5-14/11 || utonal || | |
| || 52 || 0-2-9-11-20 || 1-14/9-9/5-7/5-14/11 || octarod ||
| |
| || 53 || 0-7-9-11-20 || 1-7/6-9/5-7/5-14/11 || octarod || | |
| || 54 || 0-2-10-11-20 || 1-14/9-9/8-7/5-14/11 || apollo || | |
| || 55 || 0-9-10-11-20 || 1-9/5-9/8-7/5-14/11 || apollo || | |
| || 56 || 0-2-7-12-20 || 1-14/9-7/6-7/4-14/11 || utonal ||
| |
| || 57 || 0-7-8-12-20 || 1-7/6-16/11-7/4-14/11 || keenanismic ||
| |
| || 58 || 0-2-10-12-20 || 1-14/9-9/8-7/4-14/11 || pentacircle ||
| |
| || 59 || 0-8-10-12-20 || 1-16/11-9/8-7/4-14/11 || sensamagic11 ||
| |
| || 60 || 0-2-11-12-20 || 1-14/9-7/5-7/4-14/11 || utonal ||
| |
| || 61 || 0-7-11-12-20 || 1-7/6-7/5-7/4-14/11 || utonal ||
| |
| || 62 || 0-10-11-12-20 || 1-9/8-7/5-7/4-14/11 || apollo ||
| |
| || 63 || 0-2-9-13-20 || 1-14/9-9/5-12/11-14/11 || octarod ||
| |
| || 64 || 0-8-9-13-20 || 1-16/11-20/11-12/11-14/11 || otonal ||
| |
| || 65 || 0-2-11-13-20 || 1-14/9-7/5-12/11-14/11 || octarod ||
| |
| || 66 || 0-9-11-13-20 || 1-9/5-7/5-12/11-14/11 || octarod ||
| |
| || 67 || 0-2-12-13-20 || 1-14/9-7/4-12/11-14/11 || unimarvel ||
| |
| || 68 || 0-8-12-13-20 || 1-16/11-7/4-12/11-14/11 || keenanismic ||
| |
| || 69 || 0-11-12-13-20 || 1-7/5-7/4-12/11-14/11 || magic ||
| |
| || 70 || 0-7-8-18-20 || 1-7/6-16/11-18/11-14/11 || unimarvel ||
| |
| || 71 || 0-7-9-18-20 || 1-7/6-9/5-18/11-14/11 || octarod ||
| |
| || 72 || 0-8-9-18-20 || 1-16/11-20/11-18/11-14/11 || otonal ||
| |
| || 73 || 0-8-10-18-20 || 1-16/11-9/8-18/11-14/11 || pentacircle ||
| |
| || 74 || 0-9-10-18-20 || 1-9/5-9/8-18/11-14/11 || apollo ||
| |
| || 75 || 0-7-11-18-20 || 1-7/6-7/5-18/11-14/11 || octarod ||
| |
| || 76 || 0-9-11-18-20 || 1-9/5-7/5-18/11-14/11 || octarod || | |
| || 77 || 0-10-11-18-20 || 1-9/8-7/5-18/11-14/11 || magic || | |
| || 78 || 0-8-13-18-20 || 1-16/11-12/11-18/11-14/11 || otonal ||
| |
| || 79 || 0-9-13-18-20 || 1-20/11-12/11-18/11-14/11 || otonal ||
| |
| || 80 || 0-11-13-18-20 || 1-7/5-12/11-18/11-14/11 || octarod ||
| |
|
| |
|
| =Hexads=
| | In magic, 5/4 = vM3, 7/4 = \m7 and 11/8 = vvA4. Thus an up is ~81/80 and a lift is ~64/63. This may not be true for other (P8, P12/5) temperaments. Therefore, the ratios in the following table are specific to magic, but the chord names apply to any (P8, P12/5) temperament. |
| || Number || Chord || Transversal || Type ||
| |
| || 1 || 0-1-2-9-10-11 || 1-5/4-14/9-9/5-9/8-7/5 || magic ||
| |
| || 2 || 0-1-2-10-11-12 || 1-5/4-14/9-9/8-7/5-7/4 || apollo ||
| |
| || 3 || 0-1-2-9-11-13 || 1-5/4-14/9-9/5-7/5-12/11 || magic ||
| |
| || 4 || 0-2-4-9-11-13 || 1-14/9-6/5-9/5-7/5-12/11 || octarod ||
| |
| || 5 || 0-1-2-11-12-13 || 1-5/4-14/9-7/5-7/4-12/11 || unimarvel ||
| |
| || 6 || 0-2-4-11-12-13 || 1-14/9-6/5-7/5-7/4-12/11 || magic ||
| |
| || 7 || 0-2-7-9-11-20 || 1-14/9-7/6-9/5-7/5-14/11 || octarod ||
| |
| || 8 || 0-2-9-10-11-20 || 1-14/9-9/5-9/8-7/5-14/11 || magic ||
| |
| || 9 || 0-2-7-11-12-20 || 1-14/9-7/6-7/5-7/4-14/11 || utonal ||
| |
| || 10 || 0-2-10-11-12-20 || 1-14/9-9/8-7/5-7/4-14/11 || apollo ||
| |
| || 11 || 0-2-9-11-13-20 || 1-14/9-9/5-7/5-12/11-14/11 || octarod ||
| |
| || 12 || 0-2-11-12-13-20 || 1-14/9-7/5-7/4-12/11-14/11 || magic ||
| |
| || 13 || 0-7-8-9-18-20 || 1-7/6-16/11-9/5-18/11-14/11 || magic ||
| |
| || 14 || 0-8-9-10-18-20 || 1-16/11-9/5-9/8-18/11-14/11 || apollo ||
| |
| || 15 || 0-7-9-11-18-20 || 1-7/6-9/5-7/5-18/11-14/11 || octarod ||
| |
| || 16 || 0-9-10-11-18-20 || 1-9/5-9/8-7/5-18/11-14/11 || magic ||
| |
| || 17 || 0-8-9-13-18-20 || 1-16/11-20/11-12/11-18/11-14/11 || otonal ||
| |
| || 18 || 0-9-11-13-18-20 || 1-9/5-7/5-12/11-18/11-14/11 || octarod ||</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"><html><head><title>Chords of magic</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Magic">magic temperament</a>. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.<br />
| |
| <br />
| |
| Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.<br />
| |
| <br />
| |
| Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Triads"></a><!-- ws:end:WikiTextHeadingRule:0 -->Triads</h1>
| |
|
| |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable center-all mw-collapsible mw-collapsed" |
| <tr>
| | |+ style="font-size: 105%; white-space: nowrap;" | Magic's genchain |
| <td>Number<br />
| | |- |
| </td>
| | ! Genspan |
| <td>Chord<br />
| | ! 0 |
| </td>
| | ! 1 |
| <td>Transversal<br />
| | ! 2 |
| </td>
| | ! 3 |
| <td>Type<br />
| | ! 4 |
| </td>
| | ! 5 |
| </tr>
| | ! 6 |
| <tr>
| | ! 7 |
| <td>1<br />
| | ! 8 |
| </td>
| | ! 9 |
| <td>0-1-2<br />
| | ! 10 |
| </td>
| | ! 11 |
| <td>1-5/4-14/9<br />
| | ! 12 |
| </td>
| | ! 13 |
| <td>marvel<br />
| | ! … |
| </td>
| | ! 18 |
| </tr>
| | ! … |
| <tr>
| | ! 20 |
| <td>2<br />
| | |- |
| </td>
| | ! Cents (41edo) |
| <td>0-2-4<br />
| | | 0 |
| </td>
| | | 380 |
| <td>1-14/9-6/5<br />
| | | 761 |
| </td>
| | | 1141 |
| <td>sensamagic<br />
| | | 322 |
| </td>
| | | 702 |
| </tr>
| | | 1083 |
| <tr>
| | | 263 |
| <td>3<br />
| | | 644 |
| </td>
| | | 1024 |
| <td>0-1-5<br />
| | | 205 |
| </td>
| | | 585 |
| <td>1-5/4-3/2<br />
| | | 966 |
| </td>
| | | 146 |
| <td>otonal<br />
| | | … |
| </td>
| | | 849 |
| </tr>
| | | … |
| <tr>
| | | 410 |
| <td>4<br />
| | |- |
| </td>
| | ! Ratio |
| <td>0-4-5<br />
| | | 1/1 |
| </td>
| | | 5/4 |
| <td>1-6/5-3/2<br />
| | | 14/9 |
| </td>
| | | 27/14 |
| <td>utonal<br />
| | | 6/5 |
| </td>
| | | 3/2 |
| </tr>
| | | 15/8 |
| <tr>
| | | 7/6 |
| <td>5<br />
| | | 16/11 |
| </td>
| | | 9/5 |
| <td>0-2-7<br />
| | | 9/8 |
| </td>
| | | 7/5 |
| <td>1-14/9-7/6<br />
| | | 7/4 |
| </td>
| | | 12/11 |
| <td>utonal<br />
| | | … |
| </td>
| | | 18/11 |
| </tr>
| | | … |
| <tr>
| | | 14/11 |
| <td>6<br />
| | |- |
| </td>
| | ! Interval |
| <td>0-5-7<br />
| | | '''P1''' |
| </td>
| | | vM3 |
| <td>1-3/2-7/6<br />
| | | vvA5<br>\m6 |
| </td>
| | | ^^d8<br>/M7 |
| <td>otonal<br />
| | | ^m3 |
| </td>
| | | '''P5''' |
| </tr>
| | | vM7 |
| <tr>
| | | vvA2<br>\m3 |
| <td>7<br />
| | | ^^d5<br>/A4 |
| </td>
| | | ^m7 |
| <td>0-1-8<br />
| | | '''M2''' |
| </td>
| | | vA4<br>^\d5 |
| <td>1-5/4-16/11<br />
| | | vvA6<br>\m7 |
| </td>
| | | ^^m2<br>/A1 |
| <td>keenanismic<br />
| | | … |
| </td>
| | | ^^m6<br>/A5 |
| </tr>
| | | … |
| <tr>
| | | '''M3''' |
| <td>8<br />
| | |- |
| </td>
| | ! Note (in C) |
| <td>0-4-8<br />
| | | '''C''' |
| </td>
| | | vE |
| <td>1-6/5-16/11<br />
| | | vvG#<br>\Ab |
| </td>
| | | ^^Cb<br>/B |
| <td>ptolemismic<br />
| | | ^Eb |
| </td>
| | | '''G''' |
| </tr>
| | | vB |
| <tr>
| | | vvD#<br>\Eb |
| <td>9<br />
| | | ^^Gb<br>/F# |
| </td>
| | | ^Bb |
| <td>0-7-8<br />
| | |'''D''' |
| </td>
| | | vF#<br>^\Gb |
| <td>1-7/6-16/11<br />
| | | vvA#<br>\Bb |
| </td>
| | | ^^Db<br>/C# |
| <td>keenanismic<br />
| | | … |
| </td>
| | | ^^Ab<br>/G# |
| </tr>
| | | … |
| <tr>
| | | '''E''' |
| <td>10<br />
| | |} |
| </td>
| | {{Todo|inline=1|complete table}} |
| <td>0-1-9<br />
| |
| </td>
| |
| <td>1-5/4-20/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11<br />
| |
| </td>
| |
| <td>0-2-9<br />
| |
| </td>
| |
| <td>1-14/9-9/5<br />
| |
| </td>
| |
| <td>sensamagic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12<br />
| |
| </td>
| |
| <td>0-4-9<br />
| |
| </td>
| |
| <td>1-6/5-9/5<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13<br />
| |
| </td>
| |
| <td>0-5-9<br />
| |
| </td>
| |
| <td>1-3/2-9/5<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14<br />
| |
| </td>
| |
| <td>0-7-9<br />
| |
| </td>
| |
| <td>1-7/6-9/5<br />
| |
| </td>
| |
| <td>sensamagic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15<br />
| |
| </td>
| |
| <td>0-8-9<br />
| |
| </td>
| |
| <td>1-16/11-20/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16<br />
| |
| </td>
| |
| <td>0-1-10<br />
| |
| </td>
| |
| <td>1-5/4-9/8<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>17<br />
| |
| </td>
| |
| <td>0-2-10<br />
| |
| </td>
| |
| <td>1-14/9-9/8<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18<br />
| |
| </td>
| |
| <td>0-5-10<br />
| |
| </td>
| |
| <td>1-3/2-9/8<br />
| |
| </td>
| |
| <td>ambitonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19<br />
| |
| </td>
| |
| <td>0-8-10<br />
| |
| </td>
| |
| <td>1-16/11-9/8<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20<br />
| |
| </td>
| |
| <td>0-9-10<br />
| |
| </td>
| |
| <td>1-9/5-9/8<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>21<br />
| |
| </td>
| |
| <td>0-1-11<br />
| |
| </td>
| |
| <td>1-5/4-7/5<br />
| |
| </td>
| |
| <td>marvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>22<br />
| |
| </td>
| |
| <td>0-2-11<br />
| |
| </td>
| |
| <td>1-14/9-7/5<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>23<br />
| |
| </td>
| |
| <td>0-4-11<br />
| |
| </td>
| |
| <td>1-6/5-7/5<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>24<br />
| |
| </td>
| |
| <td>0-7-11<br />
| |
| </td>
| |
| <td>1-7/6-7/5<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>25<br />
| |
| </td>
| |
| <td>0-9-11<br />
| |
| </td>
| |
| <td>1-9/5-7/5<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>26<br />
| |
| </td>
| |
| <td>0-10-11<br />
| |
| </td>
| |
| <td>1-9/8-7/5<br />
| |
| </td>
| |
| <td>marvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27<br />
| |
| </td>
| |
| <td>0-1-12<br />
| |
| </td>
| |
| <td>1-5/4-7/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>28<br />
| |
| </td>
| |
| <td>0-2-12<br />
| |
| </td>
| |
| <td>1-14/9-7/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>29<br />
| |
| </td>
| |
| <td>0-4-12<br />
| |
| </td>
| |
| <td>1-6/5-7/4<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>30<br />
| |
| </td>
| |
| <td>0-5-12<br />
| |
| </td>
| |
| <td>1-3/2-7/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>31<br />
| |
| </td>
| |
| <td>0-7-12<br />
| |
| </td>
| |
| <td>1-7/6-7/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32<br />
| |
| </td>
| |
| <td>0-8-12<br />
| |
| </td>
| |
| <td>1-16/11-7/4<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33<br />
| |
| </td>
| |
| <td>0-10-12<br />
| |
| </td>
| |
| <td>1-9/8-7/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>34<br />
| |
| </td>
| |
| <td>0-11-12<br />
| |
| </td>
| |
| <td>1-7/5-7/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>35<br />
| |
| </td>
| |
| <td>0-1-13<br />
| |
| </td>
| |
| <td>1-5/4-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>36<br />
| |
| </td>
| |
| <td>0-2-13<br />
| |
| </td>
| |
| <td>1-14/9-12/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>37<br />
| |
| </td>
| |
| <td>0-4-13<br />
| |
| </td>
| |
| <td>1-6/5-12/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>38<br />
| |
| </td>
| |
| <td>0-5-13<br />
| |
| </td>
| |
| <td>1-3/2-12/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>39<br />
| |
| </td>
| |
| <td>0-8-13<br />
| |
| </td>
| |
| <td>1-16/11-12/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>40<br />
| |
| </td>
| |
| <td>0-9-13<br />
| |
| </td>
| |
| <td>1-20/11-12/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>41<br />
| |
| </td>
| |
| <td>0-11-13<br />
| |
| </td>
| |
| <td>1-7/5-12/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>42<br />
| |
| </td>
| |
| <td>0-12-13<br />
| |
| </td>
| |
| <td>1-7/4-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>43<br />
| |
| </td>
| |
| <td>0-5-18<br />
| |
| </td>
| |
| <td>1-3/2-18/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>44<br />
| |
| </td>
| |
| <td>0-7-18<br />
| |
| </td>
| |
| <td>1-7/6-18/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>45<br />
| |
| </td>
| |
| <td>0-8-18<br />
| |
| </td>
| |
| <td>1-16/11-18/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>46<br />
| |
| </td>
| |
| <td>0-9-18<br />
| |
| </td>
| |
| <td>1-9/5-18/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>47<br />
| |
| </td>
| |
| <td>0-10-18<br />
| |
| </td>
| |
| <td>1-9/8-18/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>48<br />
| |
| </td>
| |
| <td>0-11-18<br />
| |
| </td>
| |
| <td>1-7/5-18/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>49<br />
| |
| </td>
| |
| <td>0-13-18<br />
| |
| </td>
| |
| <td>1-12/11-18/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>50<br />
| |
| </td>
| |
| <td>0-2-20<br />
| |
| </td>
| |
| <td>1-14/9-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>51<br />
| |
| </td>
| |
| <td>0-7-20<br />
| |
| </td>
| |
| <td>1-7/6-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>52<br />
| |
| </td>
| |
| <td>0-8-20<br />
| |
| </td>
| |
| <td>1-16/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>53<br />
| |
| </td>
| |
| <td>0-9-20<br />
| |
| </td>
| |
| <td>1-20/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>54<br />
| |
| </td>
| |
| <td>0-10-20<br />
| |
| </td>
| |
| <td>1-9/8-14/11<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>55<br />
| |
| </td>
| |
| <td>0-11-20<br />
| |
| </td>
| |
| <td>1-7/5-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>56<br />
| |
| </td>
| |
| <td>0-12-20<br />
| |
| </td>
| |
| <td>1-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>57<br />
| |
| </td>
| |
| <td>0-13-20<br />
| |
| </td>
| |
| <td>1-12/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>58<br />
| |
| </td>
| |
| <td>0-18-20<br />
| |
| </td>
| |
| <td>1-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | == Triads == |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Tetrads"></a><!-- ws:end:WikiTextHeadingRule:2 -->Tetrads</h1>
| | {| class="wikitable center-1" |
|
| | |- |
| | ! # |
| | ! Generators |
| | ! Transversal |
| | ! Type |
| | ! Comments |
| | ! Kite's name |
| | |- |
| | | 1 |
| | | 0–1–2 |
| | | 1–5/4–14/9 |
| | | Marvel |
| | | |
| | | Cv(vv#5) |
| | |- |
| | | 2 |
| | | 0–2–4 |
| | | 1–6/5–14/9 |
| | | Sensamagic |
| | | |
| | | C^m(vv#5) |
| | |- |
| | | 3 |
| | | 0–1–5 |
| | | 1–5/4–3/2 |
| | | Otonal |
| | | [[4:5:6]] |
| | | Cv |
| | |- |
| | | 4 |
| | | 0–4–5 |
| | | 1–6/5–3/2 |
| | | Utonal |
| | | [[10:12:15|1/(6:5:4)]] |
| | | C^m |
| | |- |
| | | 5 |
| | | 0–2–7 |
| | | 1–7/6–14/9 |
| | | Utonal |
| | | [[14:18:21|1/(9:7:6)]] |
| | | C/ |
| | |- |
| | | 6 |
| | | 0–5–7 |
| | | 1–7/6–3/2 |
| | | Otonal |
| | | [[6:7:9]] |
| | | C\m |
| | |- |
| | | 7 |
| | | 0–1–8 |
| | | 1–5/4–16/11 |
| | | Keenanismic |
| | | |
| | | Cv(^^b5) |
| | |- |
| | | 8 |
| | | 0–4–8 |
| | | 1–6/5–16/11 |
| | | Ptolemismic |
| | | |
| | | C^m(^^b5) |
| | |- |
| | | 9 |
| | | 0–7–8 |
| | | 1–7/6–16/11 |
| | | Keenanismic |
| | | |
| | | C\m(^^b5) |
| | |- |
| | | 10 |
| | | 0–1–9 |
| | | 1–5/4–20/11 |
| | | Utonal |
| | | |
| | | Cv^7no5 |
| | |- |
| | | 11 |
| | | 0–2–9 |
| | | 1–14/9–9/5 |
| | | Sensamagic |
| | | |
| | | C^m7(vv#5)no3 |
| | |- |
| | | 12 |
| | | 0–4–9 |
| | | 1–6/5–9/5 |
| | | Otonal |
| | | [[6:9:10]] |
| | | C^m7no5 ''or'' Cv6no3 |
| | |- |
| | | 13 |
| | | 0–5–9 |
| | | 1–3/2–9/5 |
| | | Utonal |
| | | [[10:15:18|1/(9:6:5)]] |
| | | C^m7no3 |
| | |- |
| | | 14 |
| | | 0–7–9 |
| | | 1–7/6–9/5 |
| | | Sensamagic |
| | | |
| | | C\mv7no5 |
| | |- |
| | | 15 |
| | | 0–8–9 |
| | | 1–16/11–20/11 |
| | | Otonal |
| | | 1–5/4–11/8 |
| | | Cv(\b5) |
| | |- |
| | | 16 |
| | | 0–1–10 |
| | | 1–9/8–5/4 |
| | | Otonal |
| | | |
| | | Cv,9no5 |
| | |- |
| | | 17 |
| | | 0–2–10 |
| | | 1–9/8–14/9 |
| | | Pentacircle |
| | | |
| | | C2(vv#5) |
| | |- |
| | | 18 |
| | | 0–5–10 |
| | | 1–9/8–3/2 |
| | | Ambitonal |
| | | [[6:8:9]], [[8:9:12]] |
| | | C2 |
| | |- |
| | | 19 |
| | | 0–8–10 |
| | | 1–9/8–16/11 |
| | | Pentacircle |
| | | |
| | | C2(^^b5) |
| | |- |
| | | 20 |
| | | 0–9–10 |
| | | 1–9/8–9/5 |
| | | Utonal |
| | | |
| | | C^9no35 ''or'' C^7sus2no5 |
| | |- |
| | | 21 |
| | | 0–1–11 |
| | | 1–5/4–7/5 |
| | | Marvel |
| | | |
| | | Cv(^\b5) |
| | |- |
| | | 22 |
| | | 0–2–11 |
| | | 1–7/5–14/9 |
| | | Utonal |
| | | 1–9/7–9/5 |
| | | C/,^7no5 |
| | |- |
| | | 23 |
| | | 0–4–11 |
| | | 1–6/5–7/5 |
| | | Otonal |
| | | [[5:6:7]] |
| | | C^m(^\b5) |
| | |- |
| | | 24 |
| | | 0–7–11 |
| | | 1–7/6–7/5 |
| | | Utonal |
| | | [[30:35:42|1/(7:6:5)]] |
| | | C\m(^\b5) |
| | |- |
| | | 25 |
| | | 0–9–11 |
| | | 1–7/5–9/5 |
| | | Otonal |
| | | 1–9/7–10/7 |
| | | C/(^b5) |
| | |- |
| | | 26 |
| | | 0–10–11 |
| | | 1–9/8–7/5 |
| | | Marvel |
| | | 1–5/4–16/9 |
| | | Cv,7no5 |
| | |- |
| | | 27 |
| | | 0–1–12 |
| | | 1–5/4–7/4 |
| | | Otonal |
| | | [[4:5:7]] |
| | | Cv,\7no5 |
| | |- |
| | | 28 |
| | | 0–2–12 |
| | | 1–14/9–7/4 |
| | | Utonal |
| | | 1–9/8–9/7 |
| | | C/,9no5 |
| | |- |
| | | 29 |
| | | 0–4–12 |
| | | 1–6/5–7/4 |
| | | Keenanismic |
| | | |
| | | C^m\7 |
| | |- |
| | | 30 |
| | | 0–5–12 |
| | | 1–3/2–7/4 |
| | | Otonal |
| | | [[4:6:7]] |
| | | C\7no3 |
| | |- |
| | | 31 |
| | | 0–7–12 |
| | | 1–7/6–7/4 |
| | | Utonal |
| | | [[14:18:21|1/(12:8:7)]] |
| | | C\m7no5 |
| | |- |
| | | 32 |
| | | 0–8–12 |
| | | 1–16/11–7/4 |
| | | Keenanismic |
| | | 1–6/5–11/8 |
| | | C^m(\b5) |
| | |- |
| | | 33 |
| | | 0–10–12 |
| | | 1–9/8–7/4 |
| | | Otonal |
| | | |
| | | C\7sus2 |
| | |- |
| | | 34 |
| | | 0–11–12 |
| | | 1–7/5–7/4 |
| | | Utonal |
| | | [[28:35:40|1/(10:8:7)]] |
| | | C\7(^\b5)no3 |
| | |- |
| | | 35 |
| | | 0–1–13 |
| | | 1–12/11–5/4 |
| | | Keenanismic |
| | | |
| | | |
| | |- |
| | | 36 |
| | | 0–2–13 |
| | | 1–12/11–14/9 |
| | | Swetismic |
| | | 1–9/7–7/5 |
| | | C/(^\b5) |
| | |- |
| | | 37 |
| | | 0–4–13 |
| | | 1–12/11–6/5 |
| | | Utonal |
| | | |
| | | |
| | |- |
| | | 38 |
| | | 0–5–13 |
| | | 1–12/11–3/2 |
| | | Utonal |
| | | |
| | | C^^b2 |
| | |- |
| | | 39 |
| | | 0–8–13 |
| | | 1–12/11–16/11 |
| | | Otonal |
| | | 1–11/8–3/2 |
| | | Cvv#4 |
| | |- |
| | | 40 |
| | | 0–9–13 |
| | | 1–12/11–20/11 |
| | | Otonal |
| | | |
| | | |
| | |- |
| | | 41 |
| | | 0–11–13 |
| | | 1–12/11–7/5 |
| | | Swetismic |
| | | |
| | | |
| | |- |
| | | 42 |
| | | 0–12–13 |
| | | 1–12/11–7/4 |
| | | Keenanismic |
| | | |
| | | |
| | |- |
| | | 43 |
| | | 0–5–18 |
| | | 1–3/2–18/11 |
| | | Utonal |
| | | |
| | | |
| | |- |
| | | 44 |
| | | 0–7–18 |
| | | 1–7/6–18/11 |
| | | Swetismic |
| | | |
| | | |
| | |- |
| | | 45 |
| | | 0–8–18 |
| | | 1–16/11–18/11 |
| | | Otonal |
| | | |
| | | |
| | |- |
| | | 46 |
| | | 0–9–18 |
| | | 1–18/11–9/5 |
| | | Utonal |
| | | |
| | | |
| | |- |
| | | 47 |
| | | 0–10–18 |
| | | 1–9/8–18/11 |
| | | Utonal |
| | | |
| | | |
| | |- |
| | | 48 |
| | | 0–11–18 |
| | | 1–7/5–18/11 |
| | | Swetismic |
| | | |
| | | |
| | |- |
| | | 49 |
| | | 0–13–18 |
| | | 1–12/11–18/11 |
| | | Otonal |
| | | |
| | | |
| | |- |
| | | 50 |
| | | 0–2–20 |
| | | 1–14/11–14/9 |
| | | Utonal |
| | | |
| | | |
| | |- |
| | | 51 |
| | | 0–7–20 |
| | | 1–7/6–14/11 |
| | | Utonal |
| | | |
| | | |
| | |- |
| | | 52 |
| | | 0–8–20 |
| | | 1–14/11–16/11 |
| | | Otonal |
| | | |
| | | |
| | |- |
| | | 53 |
| | | 0–9–20 |
| | | 1–14/11–20/11 |
| | | Otonal |
| | | |
| | | |
| | |- |
| | | 54 |
| | | 0–10–20 |
| | | 1–9/8–14/11 |
| | | Pentacircle |
| | | |
| | | |
| | |- |
| | | 55 |
| | | 0–11–20 |
| | | 1–14/11–7/5 |
| | | Utonal |
| | | |
| | | |
| | |- |
| | | 56 |
| | | 0–12–20 |
| | | 1–14/11–7/4 |
| | | Utonal |
| | | |
| | | |
| | |- |
| | | 57 |
| | | 0–13–20 |
| | | 1–12/11–14/11 |
| | | Otonal |
| | | |
| | | |
| | |- |
| | | 58 |
| | | 0–18–20 |
| | | 1–14/11–18/11 |
| | | Otonal |
| | | |
| | | |
| | |} |
|
| |
|
| <table class="wiki_table">
| | == Tetrads == |
| <tr>
| | {| class="wikitable center-1" |
| <td>Number<br />
| | |- |
| </td>
| | ! # |
| <td>Chord<br />
| | ! Generators |
| </td>
| | ! Transversal |
| <td>Transversal<br />
| | ! Type |
| </td>
| | ! Comments |
| <td>Type<br />
| | ! Kite's name |
| </td>
| | |- |
| </tr>
| | | 1 |
| <tr>
| | | 0–1–2–9 |
| <td>1<br />
| | | 1–5/4–14/9–9/5 |
| </td>
| | | Magic |
| <td>0-1-2-9<br />
| | | |
| </td>
| | | Cv^7(vv#5) |
| <td>1-5/4-14/9-9/5<br />
| | |- |
| </td>
| | | 2 |
| <td>magic<br />
| | | 0–2–4–9 |
| </td>
| | | 1–6/5–14/9–9/5 |
| </tr>
| | | Sensamagic |
| <tr>
| | | |
| <td>2<br />
| | | C^m7(vv#5) |
| </td>
| | |- |
| <td>0-2-4-9<br />
| | | 3 |
| </td>
| | | 0–1–5–9 |
| <td>1-14/9-6/5-9/5<br />
| | | 1–5/4–3/2–9/5 |
| </td>
| | | Ptolemismic |
| <td>sensamagic<br />
| | | |
| </td>
| | | Cv^7 |
| </tr>
| | |- |
| <tr>
| | | 4 |
| <td>3<br />
| | | 0–4–5–9 |
| </td>
| | | 1–6/5–3/2–9/5 |
| <td>0-1-5-9<br />
| | | Ambitonal |
| </td>
| | | [[10:12:15:18]], [[12:15:18:20]]<br>[[9-odd-limit]] [[ASS]] |
| <td>1-5/4-3/2-9/5<br />
| | | C^m7 ''or'' Cv6 |
| </td>
| | |- |
| <td>ptolemismic<br />
| | | 5 |
| </td>
| | | 0–2–7–9 |
| </tr>
| | | 1–7/6–14/9–9/5 |
| <tr>
| | | Sensamagic |
| <td>4<br />
| | | 1–9/7–3/2–7/3 |
| </td>
| | | C/,vv#9 |
| <td>0-4-5-9<br />
| | |- |
| </td>
| | | 6 |
| <td>1-6/5-3/2-9/5<br />
| | | 0–5–7–9 |
| </td>
| | | 1–7/6–3/2–9/5 |
| <td>ambitonal<br />
| | | Sensamagic |
| </td>
| | | |
| </tr>
| | | C\m^7 |
| <tr>
| | |- |
| <td>5<br />
| | | 7 |
| </td>
| | | 0–1–8–9 |
| <td>0-2-7-9<br />
| | | 1–5/4–16/11–9/5 |
| </td>
| | | Keemic |
| <td>1-14/9-7/6-9/5<br />
| | | |
| </td>
| | | Cv^7(^^b5) |
| <td>sensamagic<br />
| | |- |
| </td>
| | | 8 |
| </tr>
| | | 0–4–8–9 |
| <tr>
| | | 1–6/5–16/11–9/5 |
| <td>6<br />
| | | Ptolemismic |
| </td>
| | | |
| <td>0-5-7-9<br />
| | | C^m7(^^b5) |
| </td>
| | |- |
| <td>1-3/2-7/6-9/5<br />
| | | 9 |
| </td>
| | | 0–7–8–9 |
| <td>sensamagic<br />
| | | 1–7/6–16/11–9/5 |
| </td>
| | | Magic |
| </tr>
| | | |
| <tr>
| | | C\m^7(^^b5) |
| <td>7<br />
| | |- |
| </td>
| | | 10 |
| <td>0-1-8-9<br />
| | | 0–1–2–10 |
| </td>
| | | 1–9/8–5/4–14/9 |
| <td>1-5/4-16/11-9/5<br />
| | | Apollo |
| </td>
| | | |
| <td>supermagic<br />
| | | Cv,9(vv#5) |
| </td>
| | |- |
| </tr>
| | | 11 |
| <tr>
| | | 0–1–5–10 |
| <td>8<br />
| | | 1–9/8–5/4–3/2 |
| </td>
| | | Otonal |
| <td>0-4-8-9<br />
| | | [[4:5:6:9]] |
| </td>
| | | Cv,9 |
| <td>1-6/5-16/11-9/5<br />
| | |- |
| </td>
| | | 12 |
| <td>ptolemismic<br />
| | | 0–1–8–10 |
| </td>
| | | 1–9/8–5/4–16/11 |
| </tr>
| | | Sensamagic11 |
| <tr>
| | | |
| <td>9<br />
| | | Cv,9(^^b5) |
| </td>
| | |- |
| <td>0-7-8-9<br />
| | | 13 |
| </td>
| | | 0–1–9–10 |
| <td>1-7/6-16/11-9/5<br />
| | | 1–9/8–5/4–9/5 |
| </td>
| | | Ptolemismic |
| <td>magic<br />
| | | |
| </td>
| | | Cv^7,9no5 ''or'' Cv9(^7)no5 |
| </tr>
| | |- |
| <tr>
| | | 14 |
| <td>10<br />
| | | 0–2–9–10 |
| </td>
| | | 1–9/8–14/9–9/5 |
| <td>0-1-2-10<br />
| | | Sensamagic11 |
| </td>
| | | |
| <td>1-5/4-14/9-9/8<br />
| | | C^9(vv#5)no3 ''or'' C^7(vv#5)sus2 |
| </td>
| | |- |
| <td>apollo<br />
| | | 15 |
| </td>
| | | 0–5–9–10 |
| </tr>
| | | 1–9/8–3/2–9/5 |
| <tr>
| | | Utonal |
| <td>11<br />
| | | [[20:30:36:45|1/(9:6:5:4)]] |
| </td>
| | | C^9no3 ''or'' C^7sus2 ''or'' C2,^7 |
| <td>0-1-5-10<br />
| | |- |
| </td>
| | | 16 |
| <td>1-5/4-3/2-9/8<br />
| | | 0–8–9–10 |
| </td>
| | | 1–9/8–16/11–9/5 |
| <td>otonal<br />
| | | Apollo |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | |- |
| <td>12<br />
| | | 17 |
| </td>
| | | 0–1–2–11 |
| <td>0-1-8-10<br />
| | | 1–5/4–7/5–14/9 |
| </td>
| | | Marvel |
| <td>1-5/4-16/11-9/8<br />
| | | |
| </td>
| | | |
| <td>sensamagic11<br />
| | |- |
| </td>
| | | 18 |
| </tr>
| | | 0–2–4–11 |
| <tr>
| | | 1–6/5–7/5–14/9 |
| <td>13<br />
| | | Sensamagic |
| </td>
| | | |
| <td>0-1-9-10<br />
| | | |
| </td>
| | |- |
| <td>1-5/4-9/5-9/8<br />
| | | 19 |
| </td>
| | | 0–2–7–11 |
| <td>ptolemismic<br />
| | | 1–7/6–7/5–14/9 |
| </td>
| | | Utonal |
| </tr>
| | | [[70:90:105:126|1/(9:7:6:5)]] |
| <tr>
| | | |
| <td>14<br />
| | |- |
| </td>
| | | 20 |
| <td>0-2-9-10<br />
| | | 0–1–9–11 |
| </td>
| | | 1–5/4–7/5–9/5 |
| <td>1-14/9-9/5-9/8<br />
| | | Apollo |
| </td>
| | | |
| <td>sensamagic11<br />
| | | |
| </td>
| | |- |
| </tr>
| | | 21 |
| <tr>
| | | 0–2–9–11 |
| <td>15<br />
| | | 1–7/5–14/9–9/5 |
| </td>
| | | Sensamagic |
| <td>0-5-9-10<br />
| | | |
| </td>
| | | |
| <td>1-3/2-9/5-9/8<br />
| | |- |
| </td>
| | | 22 |
| <td>utonal<br />
| | | 0–4–9–11 |
| </td>
| | | 1–6/5–7/5–9/5 |
| </tr>
| | | Otonal |
| <tr>
| | | [[6:7:9:10]] |
| <td>16<br />
| | | C^m7(^\b5) ''or'' C\mv6 |
| </td>
| | |- |
| <td>0-8-9-10<br />
| | | 23 |
| </td>
| | | 0–7–9–11 |
| <td>1-16/11-9/5-9/8<br />
| | | 1–7/6–7/5–9/5 |
| </td>
| | | Sensamagic |
| <td>apollo<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 24 |
| <td>17<br />
| | | 0–1–10–11 |
| </td>
| | | 1–9/8–5/4–7/5 |
| <td>0-1-2-11<br />
| | | Marvel |
| </td>
| | | |
| <td>1-5/4-14/9-7/5<br />
| | | |
| </td>
| | |- |
| <td>marvel<br />
| | | 25 |
| </td>
| | | 0–2–10–11 |
| </tr>
| | | 1–9/8–7/5–14/9 |
| <tr>
| | | Apollo |
| <td>18<br />
| | | |
| </td>
| | | |
| <td>0-2-4-11<br />
| | |- |
| </td>
| | | 26 |
| <td>1-14/9-6/5-7/5<br />
| | | 0–9–10–11 |
| </td>
| | | 1–9/8–7/5–9/5 |
| <td>sensamagic<br />
| | | Marvel |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | |- |
| <td>19<br />
| | | 27 |
| </td>
| | | 0–1–2–12 |
| <td>0-2-7-11<br />
| | | 1–5/4–14/9–7/4 |
| </td>
| | | Marvel |
| <td>1-14/9-7/6-7/5<br />
| | | |
| </td>
| | | |
| <td>utonal<br />
| | |- |
| </td>
| | | 28 |
| </tr>
| | | 0–2–4–12 |
| <tr>
| | | 1–6/5–14/9–7/4 |
| <td>20<br />
| | | Sensamagic11 |
| </td>
| | | |
| <td>0-1-9-11<br />
| | | |
| </td>
| | |- |
| <td>1-5/4-9/5-7/5<br />
| | | 29 |
| </td>
| | | 0–1–5–12 |
| <td>apollo<br />
| | | 1–5/4–3/2–7/4 |
| </td>
| | | Otonal |
| </tr>
| | | [[4:5:6:7]] |
| <tr>
| | | Cv,\7 |
| <td>21<br />
| | |- |
| </td>
| | | 30 |
| <td>0-2-9-11<br />
| | | 0–4–5–12 |
| </td>
| | | 1–6/5–3/2–7/4 |
| <td>1-14/9-9/5-7/5<br />
| | | Keenanismic |
| </td>
| | | |
| <td>sensamagic<br />
| | | C^m\7 |
| </td>
| | |- |
| </tr>
| | | 31 |
| <tr>
| | | 0–2–7–12 |
| <td>22<br />
| | | 1–7/6–14/9–7/4 |
| </td>
| | | Utonal |
| <td>0-4-9-11<br />
| | | |
| </td>
| | | C\m7(vv#5) |
| <td>1-6/5-9/5-7/5<br />
| | |- |
| </td>
| | | 32 |
| <td>otonal<br />
| | | 0–5–7–12 |
| </td>
| | | 1–7/6–3/2–7/4 |
| </tr>
| | | Ambitonal |
| <tr>
| | | [[12:14:18:21]], [[14:18:21:24]]<br>9-odd-limit ASS |
| <td>23<br />
| | | C\m7 |
| </td>
| | |- |
| <td>0-7-9-11<br />
| | | 33 |
| </td>
| | | 0–1–8–12 |
| <td>1-7/6-9/5-7/5<br />
| | | 1–5/4–16/11–7/4 |
| </td>
| | | Keenanismic |
| <td>sensamagic<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 34 |
| <td>24<br />
| | | 0–4–8–12 |
| </td>
| | | 1–6/5–16/11–7/4 |
| <td>0-1-10-11<br />
| | | Keemic |
| </td>
| | | |
| <td>1-5/4-9/8-7/5<br />
| | | |
| </td>
| | |- |
| <td>marvel<br />
| | | 35 |
| </td>
| | | 0–7–8–12 |
| </tr>
| | | 1–7/6–16/11–7/4 |
| <tr>
| | | Keenanismic |
| <td>25<br />
| | | |
| </td>
| | | C\m7(^^b5) |
| <td>0-2-10-11<br />
| | |- |
| </td>
| | | 36 |
| <td>1-14/9-9/8-7/5<br />
| | | 0–1–10–12 |
| </td>
| | | 1–9/8–5/4–7/4 |
| <td>apollo<br />
| | | Otonal |
| </td>
| | | [[4:5:7:9]] |
| </tr>
| | | |
| <tr>
| | |- |
| <td>26<br />
| | | 37 |
| </td>
| | | 0–2–10–12 |
| <td>0-9-10-11<br />
| | | 1–9/8–14/9–7/4 |
| </td>
| | | Pentacircle |
| <td>1-9/5-9/8-7/5<br />
| | | |
| </td>
| | | |
| <td>marvel<br />
| | |- |
| </td>
| | | 38 |
| </tr>
| | | 0–5–10–12 |
| <tr>
| | | 1–9/8–3/2–7/4 |
| <td>27<br />
| | | Otonal |
| </td>
| | | [[4:6:7:9]] |
| <td>0-1-2-12<br />
| | | C2\7 ''or'' C\7sus2 ''or'' C\9no3 |
| </td>
| | |- |
| <td>1-5/4-14/9-7/4<br />
| | | 39 |
| </td>
| | | 0–8–10–12 |
| <td>marvel<br />
| | | 1–9/8–16/11–7/4 |
| </td>
| | | Sensamagic11 |
| </tr>
| | | |
| <tr>
| | | |
| <td>28<br />
| | |- |
| </td>
| | | 40 |
| <td>0-2-4-12<br />
| | | 0–1–11–12 |
| </td>
| | | 1–5/4–7/5–7/4 |
| <td>1-14/9-6/5-7/4<br />
| | | Marvel |
| </td>
| | | |
| <td>sensamagic11<br />
| | | |
| </td>
| | |- |
| </tr>
| | | 41 |
| <tr>
| | | 0–2–11–12 |
| <td>29<br />
| | | 1–7/5–14/9–7/4 |
| </td>
| | | Utonal |
| <td>0-1-5-12<br />
| | | [[140:180:252:315|1/(9:7:5:4)]] |
| </td>
| | | |
| <td>1-5/4-3/2-7/4<br />
| | |- |
| </td>
| | | 42 |
| <td>otonal<br />
| | | 0–4–11–12 |
| </td>
| | | 1–6/5–7/5–7/4 |
| </tr>
| | | Keenanismic |
| <tr>
| | | |
| <td>30<br />
| | | |
| </td>
| | |- |
| <td>0-4-5-12<br />
| | | 43 |
| </td>
| | | 0–7–11–12 |
| <td>1-6/5-3/2-7/4<br />
| | | 1–7/6–7/5–7/4 |
| </td>
| | | Utonal |
| <td>keenanismic<br />
| | | [[70:84:105:120|1/(12:10:8:7)]] |
| </td>
| | | C\m7(^\b5) ''or'' C^m/6 |
| </tr>
| | |- |
| <tr>
| | | 44 |
| <td>31<br />
| | | 0–10–11–12 |
| </td>
| | | 1–9/8–7/5–7/4 |
| <td>0-2-7-12<br />
| | | Marvel |
| </td>
| | | |
| <td>1-14/9-7/6-7/4<br />
| | | |
| </td>
| | |- |
| <td>utonal<br />
| | | 45 |
| </td>
| | | 0–1–2–13 |
| </tr>
| | | 1–12/11–5/4–14/9 |
| <tr>
| | | Marvel11 |
| <td>32<br />
| | | |
| </td>
| | | |
| <td>0-5-7-12<br />
| | |- |
| </td>
| | | 46 |
| <td>1-3/2-7/6-7/4<br />
| | | 0–2–4–13 |
| </td>
| | | 1–12/11–6/5–14/9 |
| <td>ambitonal<br />
| | | Octarod |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | |- |
| <td>33<br />
| | | 47 |
| </td>
| | | 0–1–5–13 |
| <td>0-1-8-12<br />
| | | 1–12/11–5/4–3/2 |
| </td>
| | | Keenanismic |
| <td>1-5/4-16/11-7/4<br />
| | | |
| </td>
| | | |
| <td>keenanismic<br />
| | |- |
| </td>
| | | 48 |
| </tr>
| | | 0–4–5–13 |
| <tr>
| | | 1–12/11–6/5–3/2 |
| <td>34<br />
| | | Utonal |
| </td>
| | | |
| <td>0-4-8-12<br />
| | | |
| </td>
| | |- |
| <td>1-6/5-16/11-7/4<br />
| | | 49 |
| </td>
| | | 0–1–8–13 |
| <td>supermagic<br />
| | | 1–12/11–5/4–16/11 |
| </td>
| | | Keenanismic |
| </tr>
| | | |
| <tr>
| | | |
| <td>35<br />
| | |- |
| </td>
| | | 50 |
| <td>0-7-8-12<br />
| | | 0–4–8–13 |
| </td>
| | | 1–12/11–6/5–16/11 |
| <td>1-7/6-16/11-7/4<br />
| | | Ptolemismic |
| </td>
| | | |
| <td>keenanismic<br />
| | | |
| </td>
| | |- |
| </tr>
| | | 51 |
| <tr>
| | | 0–1–9–13 |
| <td>36<br />
| | | 1–12/11–5/4–9/5 |
| </td>
| | | Keemic |
| <td>0-1-10-12<br />
| | | |
| </td>
| | | |
| <td>1-5/4-9/8-7/4<br />
| | |- |
| </td>
| | | 52 |
| <td>otonal<br />
| | | 0–2–9–13 |
| </td>
| | | 1–12/11–14/9–9/5 |
| </tr>
| | | Octarod |
| <tr>
| | | |
| <td>37<br />
| | | |
| </td>
| | |- |
| <td>0-2-10-12<br />
| | | 53 |
| </td>
| | | 0–4–9–13 |
| <td>1-14/9-9/8-7/4<br />
| | | 1–12/11–6/5–9/5 |
| </td>
| | | Ptolemismic |
| <td>pentacircle<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 54 |
| <td>38<br />
| | | 0–5–9–13 |
| </td>
| | | 1–12/11–3/2–9/5 |
| <td>0-5-10-12<br />
| | | Ptolemismic |
| </td>
| | | |
| <td>1-3/2-9/8-7/4<br />
| | | |
| </td>
| | |- |
| <td>otonal<br />
| | | 55 |
| </td>
| | | 0–8–9–13 |
| </tr>
| | | 1–12/11–16/11–20/11 |
| <tr>
| | | Otonal |
| <td>39<br />
| | | |
| </td>
| | | |
| <td>0-8-10-12<br />
| | |- |
| </td>
| | | 56 |
| <td>1-16/11-9/8-7/4<br />
| | | 0–1–11–13 |
| </td>
| | | 1–12/11–5/4–7/5 |
| <td>sensamagic11<br />
| | | Marvel11 |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | |- |
| <td>40<br />
| | | 57 |
| </td>
| | | 0–2–11–13 |
| <td>0-1-11-12<br />
| | | 1–12/11–7/5–14/9 |
| </td>
| | | Swetismic |
| <td>1-5/4-7/5-7/4<br />
| | | |
| </td>
| | | |
| <td>marvel<br />
| | |- |
| </td>
| | | 58 |
| </tr>
| | | 0–4–11–13 |
| <tr>
| | | 1–12/11–6/5–7/5 |
| <td>41<br />
| | | Octarod |
| </td>
| | | |
| <td>0-2-11-12<br />
| | | |
| </td>
| | |- |
| <td>1-14/9-7/5-7/4<br />
| | | 59 |
| </td>
| | | 0–9–11–13 |
| <td>utonal<br />
| | | 1–12/11–7/5–9/5 |
| </td>
| | | Octarod |
| </tr>
| | | |
| <tr>
| | | |
| <td>42<br />
| | |- |
| </td>
| | | 60 |
| <td>0-4-11-12<br />
| | | 0–1–12–13 |
| </td>
| | | 1–12/11–5/4–7/4 |
| <td>1-6/5-7/5-7/4<br />
| | | Keenanismic |
| </td>
| | | |
| <td>keenanismic<br />
| | | |
| </td>
| | |- |
| </tr>
| | | 61 |
| <tr>
| | | 0–2–12–13 |
| <td>43<br />
| | | 1–12/11–14/9–7/4 |
| </td>
| | | Marvel11 |
| <td>0-7-11-12<br />
| | | |
| </td>
| | | |
| <td>1-7/6-7/5-7/4<br />
| | |- |
| </td>
| | | 62 |
| <td>utonal<br />
| | | 0–4–12–13 |
| </td>
| | | 1–12/11–6/5–7/4 |
| </tr>
| | | Keemic |
| <tr>
| | | |
| <td>44<br />
| | | |
| </td>
| | |- |
| <td>0-10-11-12<br />
| | | 63 |
| </td>
| | | 0–5–12–13 |
| <td>1-9/8-7/5-7/4<br />
| | | 1–12/11–3/2–7/4 |
| </td>
| | | Keenanismic |
| <td>marvel<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 64 |
| <td>45<br />
| | | 0–8–12–13 |
| </td>
| | | 1–12/11–16/11–7/4 |
| <td>0-1-2-13<br />
| | | Keenanismic |
| </td>
| | | |
| <td>1-5/4-14/9-12/11<br />
| | | |
| </td>
| | |- |
| <td>unimarvel<br />
| | | 65 |
| </td>
| | | 0–11–12–13 |
| </tr>
| | | 1–12/11–7/5–7/4 |
| <tr>
| | | Marvel11 |
| <td>46<br />
| | | |
| </td>
| | | |
| <td>0-2-4-13<br />
| | |- |
| </td>
| | | 66 |
| <td>1-14/9-6/5-12/11<br />
| | | 0–5–7–18 |
| </td>
| | | 1–7/6–3/2–18/11 |
| <td>octarod<br />
| | | Swetismic |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | |- |
| <td>47<br />
| | | 67 |
| </td>
| | | 0–7–8–18 |
| <td>0-1-5-13<br />
| | | 1–7/6–16/11–18/11 |
| </td>
| | | Marvel11 |
| <td>1-5/4-3/2-12/11<br />
| | | |
| </td>
| | | |
| <td>keenanismic<br />
| | |- |
| </td>
| | | 68 |
| </tr>
| | | 0–5–9–18 |
| <tr>
| | | 1–3/2–18/11–9/5 |
| <td>48<br />
| | | Utonal |
| </td>
| | | |
| <td>0-4-5-13<br />
| | | |
| </td>
| | |- |
| <td>1-6/5-3/2-12/11<br />
| | | 69 |
| </td>
| | | 0–7–9–18 |
| <td>utonal<br />
| | | 1–7/6–18/11–9/5 |
| </td>
| | | Octarod |
| </tr>
| | | |
| <tr>
| | | |
| <td>49<br />
| | |- |
| </td>
| | | 70 |
| <td>0-1-8-13<br />
| | | 0–8–9–18 |
| </td>
| | | 1–16/11–18/11–20/11 |
| <td>1-5/4-16/11-12/11<br />
| | | Otonal |
| </td>
| | | |
| <td>keenanismic<br />
| | | |
| </td>
| | |- |
| </tr>
| | | 71 |
| <tr>
| | | 0–5–10–18 |
| <td>50<br />
| | | 1–9/8–3/2–18/11 |
| </td>
| | | Utonal |
| <td>0-4-8-13<br />
| | | |
| </td>
| | | |
| <td>1-6/5-16/11-12/11<br />
| | |- |
| </td>
| | | 72 |
| <td>ptolemismic<br />
| | | 0–8–10–18 |
| </td>
| | | 1–9/8–16/11–18/11 |
| </tr>
| | | Pentacircle |
| <tr>
| | | |
| <td>51<br />
| | | |
| </td>
| | |- |
| <td>0-1-9-13<br />
| | | 73 |
| </td>
| | | 0–9–10–18 |
| <td>1-5/4-9/5-12/11<br />
| | | 1–9/8–18/11–9/5 |
| </td>
| | | Utonal |
| <td>supermagic<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 74 |
| <td>52<br />
| | | 0–7–11–18 |
| </td>
| | | 1–7/6–7/5–18/11 |
| <td>0-2-9-13<br />
| | | Swetismic |
| </td>
| | | |
| <td>1-14/9-9/5-12/11<br />
| | | |
| </td>
| | |- |
| <td>octarod<br />
| | | 75 |
| </td>
| | | 0–9–11–18 |
| </tr>
| | | 1–7/5–18/11–9/5 |
| <tr>
| | | Octarod |
| <td>53<br />
| | | |
| </td>
| | | |
| <td>0-4-9-13<br />
| | |- |
| </td>
| | | 76 |
| <td>1-6/5-9/5-12/11<br />
| | | 0–10–11–18 |
| </td>
| | | 1–9/8–7/5–18/11 |
| <td>ptolemismic<br />
| | | Marvel11 |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | |- |
| <td>54<br />
| | | 77 |
| </td>
| | | 0–5–13–18 |
| <td>0-5-9-13<br />
| | | 1–12/11–3/2–18/11 |
| </td>
| | | Ambitonal |
| <td>1-3/2-9/5-12/11<br />
| | | |
| </td>
| | | |
| <td>ptolemismic<br />
| | |- |
| </td>
| | | 78 |
| </tr>
| | | 0–8–13–18 |
| <tr>
| | | 1–12/11–16/11–18/11 |
| <td>55<br />
| | | Otonal |
| </td>
| | | |
| <td>0-8-9-13<br />
| | | |
| </td>
| | |- |
| <td>1-16/11-20/11-12/11<br />
| | | 79 |
| </td>
| | | 0–9–13–18 |
| <td>otonal<br />
| | | 1–12/11–18/11–20/11 |
| </td>
| | | Otonal |
| </tr>
| | | |
| <tr>
| | | |
| <td>56<br />
| | |- |
| </td>
| | | 80 |
| <td>0-1-11-13<br />
| | | 0–11–13–18 |
| </td>
| | | 1–12/11–7/5–18/11 |
| <td>1-5/4-7/5-12/11<br />
| | | Swetismic |
| </td>
| | | |
| <td>unimarvel<br />
| | | |
| </td>
| | |- |
| </tr>
| | | 81 |
| <tr>
| | | 0–2–7–20 |
| <td>57<br />
| | | 1–7/6–14/11–14/9 |
| </td>
| | | Utonal |
| <td>0-2-11-13<br />
| | | |
| </td>
| | | |
| <td>1-14/9-7/5-12/11<br />
| | |- |
| </td>
| | | 82 |
| <td>swetismic<br />
| | | 0–7–8–20 |
| </td>
| | | 1–7/6–14/11–16/11 |
| </tr>
| | | Keenanismic |
| <tr>
| | | |
| <td>58<br />
| | | |
| </td>
| | |- |
| <td>0-4-11-13<br />
| | | 83 |
| </td>
| | | 0–2–9–20 |
| <td>1-6/5-7/5-12/11<br />
| | | 1–14/11–14/9–9/5 |
| </td>
| | | Octarod |
| <td>octarod<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 84 |
| <td>59<br />
| | | 0–7–9–20 |
| </td>
| | | 1–7/6–14/11–9/5 |
| <td>0-9-11-13<br />
| | | Octarod |
| </td>
| | | |
| <td>1-9/5-7/5-12/11<br />
| | | |
| </td>
| | |- |
| <td>octarod<br />
| | | 85 |
| </td>
| | | 0–8–9–20 |
| </tr>
| | | 1–14/11–16/11–20/11 |
| <tr>
| | | Otonal |
| <td>60<br />
| | | |
| </td>
| | | |
| <td>0-1-12-13<br />
| | |- |
| </td>
| | | 86 |
| <td>1-5/4-7/4-12/11<br />
| | | 0–2–10–20 |
| </td>
| | | 1–9/8–14/11–14/9 |
| <td>keenanismic<br />
| | | Pentacircle |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | |- |
| <td>61<br />
| | | 87 |
| </td>
| | | 0–8–10–20 |
| <td>0-2-12-13<br />
| | | 1–9/8–14/11–16/11 |
| </td>
| | | Pentacircle |
| <td>1-14/9-7/4-12/11<br />
| | | |
| </td>
| | | |
| <td>unimarvel<br />
| | |- |
| </td>
| | | 88 |
| </tr>
| | | 0–9–10–20 |
| <tr>
| | | 1–9/8–14/11–9/5 |
| <td>62<br />
| | | Apollo |
| </td>
| | | |
| <td>0-4-12-13<br />
| | | |
| </td>
| | |- |
| <td>1-6/5-7/4-12/11<br />
| | | 89 |
| </td>
| | | 0–2–11–20 |
| <td>supermagic<br />
| | | 1–7/5–14/11–14/9 |
| </td>
| | | Utonal |
| </tr>
| | | |
| <tr>
| | | |
| <td>63<br />
| | |- |
| </td>
| | | 90 |
| <td>0-5-12-13<br />
| | | 0–7–11–20 |
| </td>
| | | 1–7/6–14/11–7/5 |
| <td>1-3/2-7/4-12/11<br />
| | | Utonal |
| </td>
| | | |
| <td>keenanismic<br />
| | | |
| </td>
| | |- |
| </tr>
| | | 91 |
| <tr>
| | | 0–9–11–20 |
| <td>64<br />
| | | 1–7/5–14/11–9/5 |
| </td>
| | | Ptolemismic |
| <td>0-8-12-13<br />
| | | |
| </td>
| | | |
| <td>1-16/11-7/4-12/11<br />
| | |- |
| </td>
| | | 92 |
| <td>keenanismic<br />
| | | 0–10–11–20 |
| </td>
| | | 1–9/8–14/11–7/5 |
| </tr>
| | | Apollo |
| <tr>
| | | |
| <td>65<br />
| | | |
| </td>
| | |- |
| <td>0-11-12-13<br />
| | | 93 |
| </td>
| | | 0–2–12–20 |
| <td>1-7/5-7/4-12/11<br />
| | | 1–14/11–14/9–7/4 |
| </td>
| | | Utonal |
| <td>unimarvel<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 94 |
| <td>66<br />
| | | 0–7–12–20 |
| </td>
| | | 1–7/6–14/11–7/4 |
| <td>0-5-7-18<br />
| | | Utonal |
| </td>
| | | |
| <td>1-3/2-7/6-18/11<br />
| | | |
| </td>
| | |- |
| <td>swetismic<br />
| | | 95 |
| </td>
| | | 0–8–12–20 |
| </tr>
| | | 1–14/11–16/11–7/4 |
| <tr>
| | | Keenanismic |
| <td>67<br />
| | | |
| </td>
| | | |
| <td>0-7-8-18<br />
| | |- |
| </td>
| | | 96 |
| <td>1-7/6-16/11-18/11<br />
| | | 0–10–12–20 |
| </td>
| | | 1–9/8–14/11–7/4 |
| <td>unimarvel<br />
| | | Pentacircle |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | |- |
| <td>68<br />
| | | 97 |
| </td>
| | | 0–11–12–20 |
| <td>0-5-9-18<br />
| | | 1–14/11–7/5–7/4 |
| </td>
| | | Utonal |
| <td>1-3/2-9/5-18/11<br />
| | | |
| </td>
| | | |
| <td>utonal<br />
| | |- |
| </td>
| | | 98 |
| </tr>
| | | 0–2–13–20 |
| <tr>
| | | 1–12/11–14/11–14/9 |
| <td>69<br />
| | | Swetismic |
| </td>
| | | |
| <td>0-7-9-18<br />
| | | |
| </td>
| | |- |
| <td>1-7/6-9/5-18/11<br />
| | | 99 |
| </td>
| | | 0–8–13–20 |
| <td>octarod<br />
| | | 1–12/11–14/11–16/11 |
| </td>
| | | Otonal |
| </tr>
| | | |
| <tr>
| | | |
| <td>70<br />
| | |- |
| </td>
| | | 100 |
| <td>0-8-9-18<br />
| | | 0–9–13–20 |
| </td>
| | | 1–12/11–14/11–20/11 |
| <td>1-16/11-20/11-18/11<br />
| | | Otonal |
| </td>
| | | |
| <td>otonal<br />
| | | |
| </td>
| | |- |
| </tr>
| | | 101 |
| <tr>
| | | 0–11–13–20 |
| <td>71<br />
| | | 1–12/11–14/11–7/5 |
| </td>
| | | Octarod |
| <td>0-5-10-18<br />
| | | |
| </td>
| | | |
| <td>1-3/2-9/8-18/11<br />
| | |- |
| </td>
| | | 102 |
| <td>utonal<br />
| | | 0–12–13–20 |
| </td>
| | | 1–12/11–14/11–7/4 |
| </tr>
| | | Keenanismic |
| <tr>
| | | |
| <td>72<br />
| | | |
| </td>
| | |- |
| <td>0-8-10-18<br />
| | | 103 |
| </td>
| | | 0–7–18–20 |
| <td>1-16/11-9/8-18/11<br />
| | | 1–7/6–14/11–18/11 |
| </td>
| | | Swetismic |
| <td>pentacircle<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 104 |
| <td>73<br />
| | | 0–8–18–20 |
| </td>
| | | 1–14/11–16/11–18/11 |
| <td>0-9-10-18<br />
| | | Otonal |
| </td>
| | | |
| <td>1-9/5-9/8-18/11<br />
| | | |
| </td>
| | |- |
| <td>utonal<br />
| | | 105 |
| </td>
| | | 0–9–18–20 |
| </tr>
| | | 1–14/11–18/11–20/11 |
| <tr>
| | | Otonal |
| <td>74<br />
| | | |
| </td>
| | | |
| <td>0-7-11-18<br />
| | |- |
| </td>
| | | 106 |
| <td>1-7/6-7/5-18/11<br />
| | | 0–10–18–20 |
| </td>
| | | 1–9/8–14/11–18/11 |
| <td>swetismic<br />
| | | Pentacircle |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | |- |
| <td>75<br />
| | | 107 |
| </td>
| | | 0–11–18–20 |
| <td>0-9-11-18<br />
| | | 1–14/11–7/5–18/11 |
| </td>
| | | Octarod |
| <td>1-9/5-7/5-18/11<br />
| | | |
| </td>
| | | |
| <td>octarod<br />
| | |- |
| </td>
| | | 108 |
| </tr>
| | | 0–13–18–20 |
| <tr>
| | | 1–12/11–14/11–18/11 |
| <td>76<br />
| | | Otonal |
| </td>
| | | |
| <td>0-10-11-18<br />
| | | |
| </td>
| | |} |
| <td>1-9/8-7/5-18/11<br />
| |
| </td>
| |
| <td>unimarvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>77<br />
| |
| </td>
| |
| <td>0-5-13-18<br />
| |
| </td>
| |
| <td>1-3/2-12/11-18/11<br />
| |
| </td>
| |
| <td>ambitonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>78<br />
| |
| </td>
| |
| <td>0-8-13-18<br />
| |
| </td>
| |
| <td>1-16/11-12/11-18/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>79<br />
| |
| </td>
| |
| <td>0-9-13-18<br />
| |
| </td>
| |
| <td>1-20/11-12/11-18/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>80<br />
| |
| </td>
| |
| <td>0-11-13-18<br />
| |
| </td>
| |
| <td>1-7/5-12/11-18/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>81<br />
| |
| </td>
| |
| <td>0-2-7-20<br />
| |
| </td>
| |
| <td>1-14/9-7/6-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>82<br />
| |
| </td>
| |
| <td>0-7-8-20<br />
| |
| </td>
| |
| <td>1-7/6-16/11-14/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>83<br />
| |
| </td>
| |
| <td>0-2-9-20<br />
| |
| </td>
| |
| <td>1-14/9-9/5-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>84<br />
| |
| </td>
| |
| <td>0-7-9-20<br />
| |
| </td>
| |
| <td>1-7/6-9/5-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>85<br />
| |
| </td>
| |
| <td>0-8-9-20<br />
| |
| </td>
| |
| <td>1-16/11-20/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>86<br />
| |
| </td>
| |
| <td>0-2-10-20<br />
| |
| </td>
| |
| <td>1-14/9-9/8-14/11<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>87<br />
| |
| </td>
| |
| <td>0-8-10-20<br />
| |
| </td>
| |
| <td>1-16/11-9/8-14/11<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>88<br />
| |
| </td>
| |
| <td>0-9-10-20<br />
| |
| </td>
| |
| <td>1-9/5-9/8-14/11<br />
| |
| </td>
| |
| <td>apollo<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>89<br />
| |
| </td>
| |
| <td>0-2-11-20<br />
| |
| </td>
| |
| <td>1-14/9-7/5-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>90<br />
| |
| </td>
| |
| <td>0-7-11-20<br />
| |
| </td>
| |
| <td>1-7/6-7/5-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>91<br />
| |
| </td>
| |
| <td>0-9-11-20<br />
| |
| </td>
| |
| <td>1-9/5-7/5-14/11<br />
| |
| </td>
| |
| <td>ptolemismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>92<br />
| |
| </td>
| |
| <td>0-10-11-20<br />
| |
| </td>
| |
| <td>1-9/8-7/5-14/11<br />
| |
| </td>
| |
| <td>apollo<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>93<br />
| |
| </td>
| |
| <td>0-2-12-20<br />
| |
| </td>
| |
| <td>1-14/9-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>94<br />
| |
| </td>
| |
| <td>0-7-12-20<br />
| |
| </td>
| |
| <td>1-7/6-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>95<br />
| |
| </td>
| |
| <td>0-8-12-20<br />
| |
| </td>
| |
| <td>1-16/11-7/4-14/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>96<br />
| |
| </td>
| |
| <td>0-10-12-20<br />
| |
| </td>
| |
| <td>1-9/8-7/4-14/11<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>97<br />
| |
| </td>
| |
| <td>0-11-12-20<br />
| |
| </td>
| |
| <td>1-7/5-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>98<br />
| |
| </td>
| |
| <td>0-2-13-20<br />
| |
| </td>
| |
| <td>1-14/9-12/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>99<br />
| |
| </td>
| |
| <td>0-8-13-20<br />
| |
| </td>
| |
| <td>1-16/11-12/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>100<br />
| |
| </td>
| |
| <td>0-9-13-20<br />
| |
| </td>
| |
| <td>1-20/11-12/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>101<br />
| |
| </td>
| |
| <td>0-11-13-20<br />
| |
| </td>
| |
| <td>1-7/5-12/11-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>102<br />
| |
| </td>
| |
| <td>0-12-13-20<br />
| |
| </td>
| |
| <td>1-7/4-12/11-14/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>103<br />
| |
| </td>
| |
| <td>0-7-18-20<br />
| |
| </td>
| |
| <td>1-7/6-18/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>104<br />
| |
| </td>
| |
| <td>0-8-18-20<br />
| |
| </td>
| |
| <td>1-16/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>105<br />
| |
| </td>
| |
| <td>0-9-18-20<br />
| |
| </td>
| |
| <td>1-20/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>106<br />
| |
| </td>
| |
| <td>0-10-18-20<br />
| |
| </td>
| |
| <td>1-9/8-18/11-14/11<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>107<br />
| |
| </td>
| |
| <td>0-11-18-20<br />
| |
| </td>
| |
| <td>1-7/5-18/11-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>108<br />
| |
| </td>
| |
| <td>0-13-18-20<br />
| |
| </td>
| |
| <td>1-12/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | == Pentads == |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Pentads"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pentads</h1>
| | {| class="wikitable center-1" |
|
| | |- |
| | ! # |
| | ! Generators |
| | ! Transversal |
| | ! Type |
| | ! Comments |
| | ! Kite's name |
| | |- |
| | | 1 |
| | | 0–1–2–9–10 |
| | | 1–9/8–5/4–14/9–9/5 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 2 |
| | | 0–1–5–9–10 |
| | | 1–9/8–5/4–3/2–9/5 |
| | | Ptolemismic |
| | | |
| | | Cv9(^7) |
| | |- |
| | | 3 |
| | | 0–1–8–9–10 |
| | | 1–9/8–5/4–16/11–9/5 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 4 |
| | | 0–1–2–9–11 |
| | | 1–5/4–7/5–14/9–9/5 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 5 |
| | | 0–2–4–9–11 |
| | | 1–6/5–7/5–14/9–9/5 |
| | | Sensamagic |
| | | |
| | | |
| | |- |
| | | 6 |
| | | 0–2–7–9–11 |
| | | 1–7/6–7/5–14/9–9/5 |
| | | Sensamagic |
| | | |
| | | |
| | |- |
| | | 7 |
| | | 0–1–2–10–11 |
| | | 1–9/8–5/4–7/5–14/9 |
| | | Apollo |
| | | |
| | | |
| | |- |
| | | 8 |
| | | 0–1–9–10–11 |
| | | 1–9/8–5/4–7/5–9/5 |
| | | Apollo |
| | | |
| | | |
| | |- |
| | | 9 |
| | | 0–2–9–10–11 |
| | | 1–9/8–7/5–14/9–9/5 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 10 |
| | | 0–1–2–10–12 |
| | | 1–9/8–5/4–14/9–7/4 |
| | | Apollo |
| | | |
| | | |
| | |- |
| | | 11 |
| | | 0–1–5–10–12 |
| | | 1–9/8–5/4–3/2–7/4 |
| | | Otonal |
| | | [[4:5:6:7:9]] |
| | | Cv9(\7) |
| | |- |
| | | 12 |
| | | 0–1–8–10–12 |
| | | 1–9/8–5/4–16/11–7/4 |
| | | Sensamagic11 |
| | | |
| | | |
| | |- |
| | | 13 |
| | | 0–1–2–11–12 |
| | | 1–5/4–7/5–14/9–7/4 |
| | | Marvel |
| | | |
| | | |
| | |- |
| | | 14 |
| | | 0–2–4–11–12 |
| | | 1–6/5–7/5–14/9–7/4 |
| | | Sensamagic11 |
| | | |
| | | |
| | |- |
| | | 15 |
| | | 0–2–7–11–12 |
| | | 1–7/6–7/5–14/9–7/4 |
| | | Utonal |
| | | [[210:252:315:360:560|1/(24:20:16:14:9)]] |
| | | C/9(^7) |
| | |- |
| | | 16 |
| | | 0–1–10–11–12 |
| | | 1–9/8–5/4–7/5–7/4 |
| | | Marvel |
| | | |
| | | |
| | |- |
| | | 17 |
| | | 0–2–10–11–12 |
| | | 1–9/8–7/5–14/9–7/4 |
| | | Apollo |
| | | |
| | | |
| | |- |
| | | 18 |
| | | 0–1–2–9–13 |
| | | 1–12/11–5/4–14/9–9/5 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 19 |
| | | 0–2–4–9–13 |
| | | 1–12/11–6/5–14/9–9/5 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 20 |
| | | 0–1–5–9–13 |
| | | 1–12/11–5/4–3/2–9/5 |
| | | Keemic |
| | | |
| | | |
| | |- |
| | | 21 |
| | | 0–4–5–9–13 |
| | | 1–12/11–6/5–3/2–9/5 |
| | | Ptolemismic |
| | | |
| | | |
| | |- |
| | | 22 |
| | | 0–1–8–9–13 |
| | | 1–12/11–5/4–16/11–9/5 |
| | | Keemic |
| | | |
| | | |
| | |- |
| | | 23 |
| | | 0–4–8–9–13 |
| | | 1–12/11–6/5–16/11–9/5 |
| | | Ptolemismic |
| | | |
| | | |
| | |- |
| | | 24 |
| | | 0–1–2–11–13 |
| | | 1–12/11–5/4–7/5–14/9 |
| | | Marvel11 |
| | | |
| | | |
| | |- |
| | | 25 |
| | | 0–2–4–11–13 |
| | | 1–12/11–6/5–7/5–14/9 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 26 |
| | | 0–1–9–11–13 |
| | | 1–12/11–5/4–7/5–9/5 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 27 |
| | | 0–2–9–11–13 |
| | | 1–12/11–7/5–14/9–9/5 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 28 |
| | | 0–4–9–11–13 |
| | | 1–12/11–6/5–7/5–9/5 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 29 |
| | | 0–1–2–12–13 |
| | | 1–12/11–5/4–14/9–7/4 |
| | | Marvel11 |
| | | |
| | | |
| | |- |
| | | 30 |
| | | 0–2–4–12–13 |
| | | 1–12/11–6/5–14/9–7/4 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 31 |
| | | 0–1–5–12–13 |
| | | 1–12/11–5/4–3/2–7/4 |
| | | Keenanismic |
| | | |
| | | |
| | |- |
| | | 32 |
| | | 0–4–5–12–13 |
| | | 1–12/11–6/5–3/2–7/4 |
| | | Keemic |
| | | |
| | | |
| | |- |
| | | 33 |
| | | 0–1–8–12–13 |
| | | 1–12/11–5/4–16/11–7/4 |
| | | Keenanismic |
| | | |
| | | |
| | |- |
| | | 34 |
| | | 0–4–8–12–13 |
| | | 1–12/11–6/5–16/11–7/4 |
| | | Keemic |
| | | |
| | | |
| | |- |
| | | 35 |
| | | 0–1–11–12–13 |
| | | 1–12/11–5/4–7/5–7/4 |
| | | Marvel11 |
| | | |
| | | |
| | |- |
| | | 36 |
| | | 0–2–11–12–13 |
| | | 1–12/11–7/5–14/9–7/4 |
| | | Marvel11 |
| | | |
| | | |
| | |- |
| | | 37 |
| | | 0–4–11–12–13 |
| | | 1–12/11–6/5–7/5–7/4 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 38 |
| | | 0–5–7–9–18 |
| | | 1–7/6–3/2–18/11–9/5 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 39 |
| | | 0–7–8–9–18 |
| | | 1–7/6–16/11–18/11–9/5 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 40 |
| | | 0–5–9–10–18 |
| | | 1–9/8–3/2–18/11–9/5 |
| | | Utonal |
| | | [[330:396:495:720:880|1/(24:20:16:11:9)]] |
| | | |
| | |- |
| | | 41 |
| | | 0–8–9–10–18 |
| | | 1–9/8–16/11–18/11–9/5 |
| | | Apollo |
| | | |
| | | |
| | |- |
| | | 42 |
| | | 0–7–9–11–18 |
| | | 1–7/6–7/5–18/11–9/5 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 43 |
| | | 0–9–10–11–18 |
| | | 1–9/8–7/5–18/11–9/5 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 44 |
| | | 0–5–9–13–18 |
| | | 1–3/2–12/11–18/11–9/5 |
| | | Ptolemismic |
| | | |
| | | |
| | |- |
| | | 45 |
| | | 0–8–9–13–18 |
| | | 1–12/11–16/11–18/11–20/11 |
| | | Otonal |
| | | [[4:5:6:9:11]] |
| | | |
| | |- |
| | | 46 |
| | | 0–9–11–13–18 |
| | | 1–7/5–12/11–18/11–9/5 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 47 |
| | | 0–2–7–9–20 |
| | | 1–7/6–14/11–14/9–9/5 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 48 |
| | | 0–7–8–9–20 |
| | | 1–7/6–14/11–16/11–9/5 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 49 |
| | | 0–2–9–10–20 |
| | | 1–9/8–14/11–14/9–9/5 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 50 |
| | | 0–8–9–10–20 |
| | | 1–9/8–14/11–16/11–9/5 |
| | | Apollo |
| | | |
| | | |
| | |- |
| | | 51 |
| | | 0–2–7–11–20 |
| | | 1–7/6–7/5–14/11–14/9 |
| | | Utonal |
| | | [[1155:1386:1980:2520:3080|1/(24:20:14:11:9)]] |
| | | |
| | |- |
| | | 52 |
| | | 0–2–9–11–20 |
| | | 1–14/11–7/5–14/9–9/5 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 53 |
| | | 0–7–9–11–20 |
| | | 1–7/6–14/11–7/5–9/5 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 54 |
| | | 0–2–10–11–20 |
| | | 1–9/8–14/11–7/5–14/9 |
| | | Apollo |
| | | |
| | | |
| | |- |
| | | 55 |
| | | 0–9–10–11–20 |
| | | 1–9/8–14/11–7/5–9/5 |
| | | Apollo |
| | | |
| | | |
| | |- |
| | | 56 |
| | | 0–2–7–12–20 |
| | | 1–7/6–14/11–14/9–7/4 |
| | | Utonal |
| | | [[462:693:792:1008:1232|1/(24:16:14:11:9)]] |
| | | |
| | |- |
| | | 57 |
| | | 0–7–8–12–20 |
| | | 1–7/6–14/11–16/11–7/4 |
| | | Keenanismic |
| | | |
| | | |
| | |- |
| | | 58 |
| | | 0–2–10–12–20 |
| | | 1–9/8–14/11–14/9–7/4 |
| | | Pentacircle |
| | | |
| | | |
| | |- |
| | | 59 |
| | | 0–8–10–12–20 |
| | | 1–9/8–14/11–16/11–7/4 |
| | | Sensamagic11 |
| | | |
| | | |
| | |- |
| | | 60 |
| | | 0–2–11–12–20 |
| | | 1–14/11–7/5–14/9–7/4 |
| | | Utonal |
| | | [[924:1155:1320:2016:2464|1/(20:16:14:11:9)]] |
| | | |
| | |- |
| | | 61 |
| | | 0–7–11–12–20 |
| | | 1–7/6–14/11–7/5–7/4 |
| | | Utonal |
| | | [[770:924:1155:1320:1680|1/(24:20:16:14:11)]] |
| | | |
| | |- |
| | | 62 |
| | | 0–10–11–12–20 |
| | | 1–9/8–14/11–7/5–7/4 |
| | | Apollo |
| | | |
| | | |
| | |- |
| | | 63 |
| | | 0–2–9–13–20 |
| | | 1–12/11–14/11–14/9–9/5 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 64 |
| | | 0–8–9–13–20 |
| | | 1–12/11–14/11–16/11–20/11 |
| | | Otonal |
| | | [[4:5:6:7:11]] |
| | | |
| | |- |
| | | 65 |
| | | 0–2–11–13–20 |
| | | 1–12/11–14/11–7/5–14/9 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 66 |
| | | 0–9–11–13–20 |
| | | 1–12/11–14/11–7/5–9/5 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 67 |
| | | 0–2–12–13–20 |
| | | 1–12/11–14/11–14/9–7/4 |
| | | Marvel11 |
| | | |
| | | |
| | |- |
| | | 68 |
| | | 0–8–12–13–20 |
| | | 1–12/11–14/11–16/11–7/4 |
| | | Keenanismic |
| | | |
| | | |
| | |- |
| | | 69 |
| | | 0–11–12–13–20 |
| | | 1–12/11–14/11–7/5–7/4 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 70 |
| | | 0–7–8–18–20 |
| | | 1–7/6–14/11–16/11–18/11 |
| | | Marvel11 |
| | | |
| | | |
| | |- |
| | | 71 |
| | | 0–7–9–18–20 |
| | | 1–7/6–14/11–18/11–9/5 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 72 |
| | | 0–8–9–18–20 |
| | | 1–14/11–16/11–18/11–20/11 |
| | | Otonal |
| | | [[4:5:7:9:11]] |
| | | |
| | |- |
| | | 73 |
| | | 0–8–10–18–20 |
| | | 1–9/8–14/11–16/11–18/11 |
| | | Pentacircle |
| | | |
| | | |
| | |- |
| | | 74 |
| | | 0–9–10–18–20 |
| | | 1–9/8–14/11–18/11–9/5 |
| | | Apollo |
| | | |
| | | |
| | |- |
| | | 75 |
| | | 0–7–11–18–20 |
| | | 1–7/6–14/11–7/5–18/11 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 76 |
| | | 0–9–11–18–20 |
| | | 1–14/11–7/5–18/11–9/5 |
| | | Octarod |
| | | |
| | | |
| | |- |
| | | 77 |
| | | 0–10–11–18–20 |
| | | 1–9/8–14/11–7/5–18/11 |
| | | Magic |
| | | |
| | | |
| | |- |
| | | 78 |
| | | 0–8–13–18–20 |
| | | 1–12/11–14/11–16/11–18/11 |
| | | Otonal |
| | | [[4:6:7:9:11]] |
| | | |
| | |- |
| | | 79 |
| | | 0–9–13–18–20 |
| | | 1–12/11–14/11–18/11–20/11 |
| | | Otonal |
| | | [[5:6:7:9:11]] |
| | | |
| | |- |
| | | 80 |
| | | 0–11–13–18–20 |
| | | 1–12/11–14/11–7/5–18/11 |
| | | Octarod |
| | | |
| | | |
| | |} |
|
| |
|
| <table class="wiki_table">
| | == Hexads == |
| <tr>
| | {| class="wikitable center-1" |
| <td>Number<br />
| | |- |
| </td>
| | ! # |
| <td>Chord<br />
| | ! Generators |
| </td>
| | ! Transversal |
| <td>Transversal<br />
| | ! Type |
| </td>
| | ! Comment |
| <td>Type<br />
| | |- |
| </td>
| | | 1 |
| </tr>
| | | 0–1–2–9–10–11 |
| <tr>
| | | 1–9/8–5/4–7/5–14/9–9/5 |
| <td>1<br />
| | | Magic |
| </td>
| | | |
| <td>0-1-2-9-10<br />
| | |- |
| </td>
| | | 2 |
| <td>1-5/4-14/9-9/5-9/8<br />
| | | 0–1–2–10–11–12 |
| </td>
| | | 1–9/8–5/4–7/5–14/9–7/4 |
| <td>magic<br />
| | | Apollo |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 3 |
| <td>2<br />
| | | 0–1–2–9–11–13 |
| </td>
| | | 1–12/11–5/4–7/5–14/9–9/5 |
| <td>0-1-5-9-10<br />
| | | Magic |
| </td>
| | | |
| <td>1-5/4-3/2-9/5-9/8<br />
| | |- |
| </td>
| | | 4 |
| <td>ptolemismic<br />
| | | 0–2–4–9–11–13 |
| </td>
| | | 1–12/11–6/5–7/5–14/9–9/5 |
| </tr>
| | | Octarod |
| <tr>
| | | |
| <td>3<br />
| | |- |
| </td>
| | | 5 |
| <td>0-1-8-9-10<br />
| | | 0–1–2–11–12–13 |
| </td>
| | | 1–12/11–5/4–7/5–14/9–7/4 |
| <td>1-5/4-16/11-9/5-9/8<br />
| | | Marvel11 |
| </td>
| | | |
| <td>magic<br />
| | |- |
| </td>
| | | 6 |
| </tr>
| | | 0–2–4–11–12–13 |
| <tr>
| | | 1–12/11–6/5–7/5–14/9–7/4 |
| <td>4<br />
| | | Magic |
| </td>
| | | |
| <td>0-1-2-9-11<br />
| | |- |
| </td>
| | | 7 |
| <td>1-5/4-14/9-9/5-7/5<br />
| | | 0–2–7–9–11–20 |
| </td>
| | | 1–7/6–14/11–7/5–14/9–9/5 |
| <td>magic<br />
| | | Octarod |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 8 |
| <td>5<br />
| | | 0–2–9–10–11–20 |
| </td>
| | | 1–9/8–14/11–7/5–14/9–9/5 |
| <td>0-2-4-9-11<br />
| | | Magic |
| </td>
| | | |
| <td>1-14/9-6/5-9/5-7/5<br />
| | |- |
| </td>
| | | 9 |
| <td>sensamagic<br />
| | | 0–2–7–11–12–20 |
| </td>
| | | 1–14/11–7/6–7/5–14/9–7/4 |
| </tr>
| | | Utonal |
| <tr>
| | | [[2310:2772:3465:3960:5040:6160|1/(24:20:16:14:11:9)]] |
| <td>6<br />
| | |- |
| </td>
| | | 10 |
| <td>0-2-7-9-11<br />
| | | 0–2–10–11–12–20 |
| </td>
| | | 1–9/8–14/11–7/5–14/9–7/4 |
| <td>1-14/9-7/6-9/5-7/5<br />
| | | Apollo |
| </td>
| | | |
| <td>sensamagic<br />
| | |- |
| </td>
| | | 11 |
| </tr>
| | | 0–2–9–11–13–20 |
| <tr>
| | | 1–12/11–14/11–7/5–14/9–9/5 |
| <td>7<br />
| | | Octarod |
| </td>
| | | |
| <td>0-1-2-10-11<br />
| | |- |
| </td>
| | | 12 |
| <td>1-5/4-14/9-9/8-7/5<br />
| | | 0–2–11–12–13–20 |
| </td>
| | | 1–12/11–14/11–7/5–14/9–7/4 |
| <td>apollo<br />
| | | Magic |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 13 |
| <td>8<br />
| | | 0–7–8–9–18–20 |
| </td>
| | | 1–7/6–14/11–16/11–18/11–9/5 |
| <td>0-1-9-10-11<br />
| | | Magic |
| </td>
| | | |
| <td>1-5/4-9/5-9/8-7/5<br />
| | |- |
| </td>
| | | 14 |
| <td>apollo<br />
| | | 0–8–9–10–18–20 |
| </td>
| | | 1–9/8–14/11–16/11–18/11–9/5 |
| </tr>
| | | Apollo |
| <tr>
| | | |
| <td>9<br />
| | |- |
| </td>
| | | 15 |
| <td>0-2-9-10-11<br />
| | | 0–7–9–11–18–20 |
| </td>
| | | 1–7/6–14/11–7/5–18/11–9/5 |
| <td>1-14/9-9/5-9/8-7/5<br />
| | | Octarod |
| </td>
| | | |
| <td>magic<br />
| | |- |
| </td>
| | | 16 |
| </tr>
| | | 0–9–10–11–18–20 |
| <tr>
| | | 1–9/8–14/11–7/5–18/11–9/5 |
| <td>10<br />
| | | Magic |
| </td>
| | | |
| <td>0-1-2-10-12<br />
| | |- |
| </td>
| | | 17 |
| <td>1-5/4-14/9-9/8-7/4<br />
| | | 0–8–9–13–18–20 |
| </td>
| | | 1–12/11–14/11–16/11–18/11–20/11 |
| <td>apollo<br />
| | | Otonal |
| </td>
| | | [[4:5:6:7:9:11]] |
| </tr>
| | |- |
| <tr>
| | | 18 |
| <td>11<br />
| | | 0–9–11–13–18–20 |
| </td>
| | | 1–12/11–14/11–7/5–18/11–9/5 |
| <td>0-1-5-10-12<br />
| | | Octarod |
| </td>
| | | |
| <td>1-5/4-3/2-9/8-7/4<br />
| | |} |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12<br />
| |
| </td>
| |
| <td>0-1-8-10-12<br />
| |
| </td>
| |
| <td>1-5/4-16/11-9/8-7/4<br />
| |
| </td>
| |
| <td>sensamagic11<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13<br />
| |
| </td>
| |
| <td>0-1-2-11-12<br />
| |
| </td>
| |
| <td>1-5/4-14/9-7/5-7/4<br />
| |
| </td>
| |
| <td>marvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14<br />
| |
| </td>
| |
| <td>0-2-4-11-12<br />
| |
| </td>
| |
| <td>1-14/9-6/5-7/5-7/4<br />
| |
| </td>
| |
| <td>sensamagic11<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15<br />
| |
| </td>
| |
| <td>0-2-7-11-12<br />
| |
| </td>
| |
| <td>1-14/9-7/6-7/5-7/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16<br />
| |
| </td>
| |
| <td>0-1-10-11-12<br />
| |
| </td>
| |
| <td>1-5/4-9/8-7/5-7/4<br />
| |
| </td>
| |
| <td>marvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>17<br />
| |
| </td>
| |
| <td>0-2-10-11-12<br />
| |
| </td>
| |
| <td>1-14/9-9/8-7/5-7/4<br />
| |
| </td>
| |
| <td>apollo<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18<br />
| |
| </td>
| |
| <td>0-1-2-9-13<br />
| |
| </td>
| |
| <td>1-5/4-14/9-9/5-12/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19<br />
| |
| </td>
| |
| <td>0-2-4-9-13<br />
| |
| </td>
| |
| <td>1-14/9-6/5-9/5-12/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20<br />
| |
| </td>
| |
| <td>0-1-5-9-13<br />
| |
| </td>
| |
| <td>1-5/4-3/2-9/5-12/11<br />
| |
| </td>
| |
| <td>supermagic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>21<br />
| |
| </td>
| |
| <td>0-4-5-9-13<br />
| |
| </td>
| |
| <td>1-6/5-3/2-9/5-12/11<br />
| |
| </td>
| |
| <td>ptolemismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>22<br />
| |
| </td>
| |
| <td>0-1-8-9-13<br />
| |
| </td>
| |
| <td>1-5/4-16/11-9/5-12/11<br />
| |
| </td>
| |
| <td>supermagic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>23<br />
| |
| </td>
| |
| <td>0-4-8-9-13<br />
| |
| </td>
| |
| <td>1-6/5-16/11-9/5-12/11<br />
| |
| </td>
| |
| <td>ptolemismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>24<br />
| |
| </td>
| |
| <td>0-1-2-11-13<br />
| |
| </td>
| |
| <td>1-5/4-14/9-7/5-12/11<br />
| |
| </td>
| |
| <td>unimarvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>25<br />
| |
| </td>
| |
| <td>0-2-4-11-13<br />
| |
| </td>
| |
| <td>1-14/9-6/5-7/5-12/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>26<br />
| |
| </td>
| |
| <td>0-1-9-11-13<br />
| |
| </td>
| |
| <td>1-5/4-9/5-7/5-12/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27<br />
| |
| </td>
| |
| <td>0-2-9-11-13<br />
| |
| </td>
| |
| <td>1-14/9-9/5-7/5-12/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>28<br />
| |
| </td>
| |
| <td>0-4-9-11-13<br />
| |
| </td>
| |
| <td>1-6/5-9/5-7/5-12/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>29<br />
| |
| </td>
| |
| <td>0-1-2-12-13<br />
| |
| </td>
| |
| <td>1-5/4-14/9-7/4-12/11<br />
| |
| </td>
| |
| <td>unimarvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>30<br />
| |
| </td>
| |
| <td>0-2-4-12-13<br />
| |
| </td>
| |
| <td>1-14/9-6/5-7/4-12/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>31<br />
| |
| </td>
| |
| <td>0-1-5-12-13<br />
| |
| </td>
| |
| <td>1-5/4-3/2-7/4-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32<br />
| |
| </td>
| |
| <td>0-4-5-12-13<br />
| |
| </td>
| |
| <td>1-6/5-3/2-7/4-12/11<br />
| |
| </td>
| |
| <td>supermagic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33<br />
| |
| </td>
| |
| <td>0-1-8-12-13<br />
| |
| </td>
| |
| <td>1-5/4-16/11-7/4-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>34<br />
| |
| </td>
| |
| <td>0-4-8-12-13<br />
| |
| </td>
| |
| <td>1-6/5-16/11-7/4-12/11<br />
| |
| </td>
| |
| <td>supermagic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>35<br />
| |
| </td>
| |
| <td>0-1-11-12-13<br />
| |
| </td>
| |
| <td>1-5/4-7/5-7/4-12/11<br />
| |
| </td>
| |
| <td>unimarvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>36<br />
| |
| </td>
| |
| <td>0-2-11-12-13<br />
| |
| </td>
| |
| <td>1-14/9-7/5-7/4-12/11<br />
| |
| </td>
| |
| <td>unimarvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>37<br />
| |
| </td>
| |
| <td>0-4-11-12-13<br />
| |
| </td>
| |
| <td>1-6/5-7/5-7/4-12/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>38<br />
| |
| </td>
| |
| <td>0-5-7-9-18<br />
| |
| </td>
| |
| <td>1-3/2-7/6-9/5-18/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>39<br />
| |
| </td>
| |
| <td>0-7-8-9-18<br />
| |
| </td>
| |
| <td>1-7/6-16/11-9/5-18/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>40<br />
| |
| </td>
| |
| <td>0-5-9-10-18<br />
| |
| </td>
| |
| <td>1-3/2-9/5-9/8-18/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>41<br />
| |
| </td>
| |
| <td>0-8-9-10-18<br />
| |
| </td>
| |
| <td>1-16/11-9/5-9/8-18/11<br />
| |
| </td>
| |
| <td>apollo<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>42<br />
| |
| </td>
| |
| <td>0-7-9-11-18<br />
| |
| </td>
| |
| <td>1-7/6-9/5-7/5-18/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>43<br />
| |
| </td>
| |
| <td>0-9-10-11-18<br />
| |
| </td>
| |
| <td>1-9/5-9/8-7/5-18/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>44<br />
| |
| </td>
| |
| <td>0-5-9-13-18<br />
| |
| </td>
| |
| <td>1-3/2-9/5-12/11-18/11<br />
| |
| </td>
| |
| <td>ptolemismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>45<br />
| |
| </td>
| |
| <td>0-8-9-13-18<br />
| |
| </td>
| |
| <td>1-16/11-20/11-12/11-18/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>46<br />
| |
| </td>
| |
| <td>0-9-11-13-18<br />
| |
| </td>
| |
| <td>1-9/5-7/5-12/11-18/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>47<br />
| |
| </td>
| |
| <td>0-2-7-9-20<br />
| |
| </td>
| |
| <td>1-14/9-7/6-9/5-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>48<br />
| |
| </td>
| |
| <td>0-7-8-9-20<br />
| |
| </td>
| |
| <td>1-7/6-16/11-9/5-14/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>49<br />
| |
| </td>
| |
| <td>0-2-9-10-20<br />
| |
| </td>
| |
| <td>1-14/9-9/5-9/8-14/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>50<br />
| |
| </td>
| |
| <td>0-8-9-10-20<br />
| |
| </td>
| |
| <td>1-16/11-9/5-9/8-14/11<br />
| |
| </td>
| |
| <td>apollo<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>51<br />
| |
| </td>
| |
| <td>0-2-7-11-20<br />
| |
| </td>
| |
| <td>1-14/9-7/6-7/5-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>52<br />
| |
| </td>
| |
| <td>0-2-9-11-20<br />
| |
| </td>
| |
| <td>1-14/9-9/5-7/5-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>53<br />
| |
| </td>
| |
| <td>0-7-9-11-20<br />
| |
| </td>
| |
| <td>1-7/6-9/5-7/5-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>54<br />
| |
| </td>
| |
| <td>0-2-10-11-20<br />
| |
| </td>
| |
| <td>1-14/9-9/8-7/5-14/11<br />
| |
| </td>
| |
| <td>apollo<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>55<br />
| |
| </td>
| |
| <td>0-9-10-11-20<br />
| |
| </td>
| |
| <td>1-9/5-9/8-7/5-14/11<br />
| |
| </td>
| |
| <td>apollo<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>56<br />
| |
| </td>
| |
| <td>0-2-7-12-20<br />
| |
| </td>
| |
| <td>1-14/9-7/6-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>57<br />
| |
| </td>
| |
| <td>0-7-8-12-20<br />
| |
| </td>
| |
| <td>1-7/6-16/11-7/4-14/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>58<br />
| |
| </td>
| |
| <td>0-2-10-12-20<br />
| |
| </td>
| |
| <td>1-14/9-9/8-7/4-14/11<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>59<br />
| |
| </td>
| |
| <td>0-8-10-12-20<br />
| |
| </td>
| |
| <td>1-16/11-9/8-7/4-14/11<br />
| |
| </td>
| |
| <td>sensamagic11<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>60<br />
| |
| </td>
| |
| <td>0-2-11-12-20<br />
| |
| </td>
| |
| <td>1-14/9-7/5-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>61<br />
| |
| </td>
| |
| <td>0-7-11-12-20<br />
| |
| </td>
| |
| <td>1-7/6-7/5-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>62<br />
| |
| </td>
| |
| <td>0-10-11-12-20<br />
| |
| </td>
| |
| <td>1-9/8-7/5-7/4-14/11<br />
| |
| </td>
| |
| <td>apollo<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>63<br />
| |
| </td>
| |
| <td>0-2-9-13-20<br />
| |
| </td>
| |
| <td>1-14/9-9/5-12/11-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>64<br />
| |
| </td>
| |
| <td>0-8-9-13-20<br />
| |
| </td>
| |
| <td>1-16/11-20/11-12/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>65<br />
| |
| </td>
| |
| <td>0-2-11-13-20<br />
| |
| </td>
| |
| <td>1-14/9-7/5-12/11-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>66<br />
| |
| </td>
| |
| <td>0-9-11-13-20<br />
| |
| </td>
| |
| <td>1-9/5-7/5-12/11-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>67<br />
| |
| </td>
| |
| <td>0-2-12-13-20<br />
| |
| </td>
| |
| <td>1-14/9-7/4-12/11-14/11<br />
| |
| </td>
| |
| <td>unimarvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>68<br />
| |
| </td>
| |
| <td>0-8-12-13-20<br />
| |
| </td>
| |
| <td>1-16/11-7/4-12/11-14/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>69<br />
| |
| </td>
| |
| <td>0-11-12-13-20<br />
| |
| </td>
| |
| <td>1-7/5-7/4-12/11-14/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>70<br />
| |
| </td>
| |
| <td>0-7-8-18-20<br />
| |
| </td>
| |
| <td>1-7/6-16/11-18/11-14/11<br />
| |
| </td>
| |
| <td>unimarvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>71<br />
| |
| </td>
| |
| <td>0-7-9-18-20<br />
| |
| </td>
| |
| <td>1-7/6-9/5-18/11-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>72<br />
| |
| </td>
| |
| <td>0-8-9-18-20<br />
| |
| </td>
| |
| <td>1-16/11-20/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>73<br />
| |
| </td>
| |
| <td>0-8-10-18-20<br />
| |
| </td>
| |
| <td>1-16/11-9/8-18/11-14/11<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>74<br />
| |
| </td>
| |
| <td>0-9-10-18-20<br />
| |
| </td>
| |
| <td>1-9/5-9/8-18/11-14/11<br />
| |
| </td>
| |
| <td>apollo<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>75<br />
| |
| </td>
| |
| <td>0-7-11-18-20<br />
| |
| </td>
| |
| <td>1-7/6-7/5-18/11-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>76<br />
| |
| </td>
| |
| <td>0-9-11-18-20<br />
| |
| </td>
| |
| <td>1-9/5-7/5-18/11-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>77<br />
| |
| </td>
| |
| <td>0-10-11-18-20<br />
| |
| </td>
| |
| <td>1-9/8-7/5-18/11-14/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>78<br />
| |
| </td>
| |
| <td>0-8-13-18-20<br />
| |
| </td>
| |
| <td>1-16/11-12/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>79<br />
| |
| </td>
| |
| <td>0-9-13-18-20<br />
| |
| </td>
| |
| <td>1-20/11-12/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>80<br />
| |
| </td>
| |
| <td>0-11-13-18-20<br />
| |
| </td>
| |
| <td>1-7/5-12/11-18/11-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | [[Category:Lists of chords]] |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Hexads"></a><!-- ws:end:WikiTextHeadingRule:6 -->Hexads</h1>
| | [[Category:Dyadic chords]] |
|
| | [[Category:Magic]] |
| | | [[Category:Triads]] |
| <table class="wiki_table">
| | [[Category:Tetrads]] |
| <tr>
| | [[Category:Pentads]] |
| <td>Number<br />
| | [[Category:Hexads]] |
| </td>
| |
| <td>Chord<br />
| |
| </td>
| |
| <td>Transversal<br />
| |
| </td>
| |
| <td>Type<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1<br />
| |
| </td>
| |
| <td>0-1-2-9-10-11<br />
| |
| </td>
| |
| <td>1-5/4-14/9-9/5-9/8-7/5<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2<br />
| |
| </td>
| |
| <td>0-1-2-10-11-12<br />
| |
| </td>
| |
| <td>1-5/4-14/9-9/8-7/5-7/4<br />
| |
| </td>
| |
| <td>apollo<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3<br />
| |
| </td>
| |
| <td>0-1-2-9-11-13<br />
| |
| </td>
| |
| <td>1-5/4-14/9-9/5-7/5-12/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4<br />
| |
| </td>
| |
| <td>0-2-4-9-11-13<br />
| |
| </td>
| |
| <td>1-14/9-6/5-9/5-7/5-12/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5<br />
| |
| </td>
| |
| <td>0-1-2-11-12-13<br />
| |
| </td>
| |
| <td>1-5/4-14/9-7/5-7/4-12/11<br />
| |
| </td>
| |
| <td>unimarvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6<br />
| |
| </td>
| |
| <td>0-2-4-11-12-13<br />
| |
| </td>
| |
| <td>1-14/9-6/5-7/5-7/4-12/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7<br />
| |
| </td>
| |
| <td>0-2-7-9-11-20<br />
| |
| </td>
| |
| <td>1-14/9-7/6-9/5-7/5-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8<br />
| |
| </td>
| |
| <td>0-2-9-10-11-20<br />
| |
| </td>
| |
| <td>1-14/9-9/5-9/8-7/5-14/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9<br />
| |
| </td>
| |
| <td>0-2-7-11-12-20<br />
| |
| </td>
| |
| <td>1-14/9-7/6-7/5-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10<br />
| |
| </td>
| |
| <td>0-2-10-11-12-20<br />
| |
| </td>
| |
| <td>1-14/9-9/8-7/5-7/4-14/11<br />
| |
| </td>
| |
| <td>apollo<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11<br />
| |
| </td>
| |
| <td>0-2-9-11-13-20<br />
| |
| </td>
| |
| <td>1-14/9-9/5-7/5-12/11-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12<br />
| |
| </td>
| |
| <td>0-2-11-12-13-20<br />
| |
| </td>
| |
| <td>1-14/9-7/5-7/4-12/11-14/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13<br />
| |
| </td>
| |
| <td>0-7-8-9-18-20<br />
| |
| </td>
| |
| <td>1-7/6-16/11-9/5-18/11-14/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14<br />
| |
| </td>
| |
| <td>0-8-9-10-18-20<br />
| |
| </td>
| |
| <td>1-16/11-9/5-9/8-18/11-14/11<br />
| |
| </td>
| |
| <td>apollo<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15<br />
| |
| </td>
| |
| <td>0-7-9-11-18-20<br />
| |
| </td>
| |
| <td>1-7/6-9/5-7/5-18/11-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16<br />
| |
| </td>
| |
| <td>0-9-10-11-18-20<br />
| |
| </td>
| |
| <td>1-9/5-9/8-7/5-18/11-14/11<br />
| |
| </td>
| |
| <td>magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>17<br />
| |
| </td>
| |
| <td>0-8-9-13-18-20<br />
| |
| </td>
| |
| <td>1-16/11-20/11-12/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18<br />
| |
| </td>
| |
| <td>0-9-11-13-18-20<br />
| |
| </td>
| |
| <td>1-9/5-7/5-12/11-18/11-14/11<br />
| |
| </td>
| |
| <td>octarod<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </body></html></pre></div>
| |
