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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Kleismic_family#Catakleismic|catakleismic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, by 385/384 keenanismic, and by 225/224 marvel. Chords requiring any two of 540/539, 385/384 or 225/224 are labeled unimarvel. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-29 02:56:40 UTC</tt>.<br>
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| : The original revision id was <tt>288714062</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 [[Kleismic family#Catakleismic|catakleismic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, by 385/384 keenanismic, and by 225/224 marvel. Chords requiring any two of 540/539, 385/384 or 225/224 are labeled unimarvel.
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| Catakleismic has MOS of size 7, 11, 15, 19, 34, 53 and 72. It is a complex temperament and not much attention has been paid to it, but one notable feature it has is that 11-limit marvel (unimarvel) shrinks the kleisma to a very small interval in an optimal tuning, so very little tuning damage is incurred by catakleismic over that of marvel. Hence, catakleismic can be thought of as one way of organizing the chords of marvel, which are also listed below. | | Catakleismic has MOS of size 7, 11, 15, 19, 34, 53 and 72. It is a complex temperament and not much attention has been paid to it, but one notable feature it has is that 11-limit marvel (unimarvel) shrinks the kleisma to a very small interval in an optimal tuning, so very little tuning damage is incurred by catakleismic over that of marvel. Hence, catakleismic can be thought of as one way of organizing the chords of marvel, which are also listed below. |
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| =Triads= | | =Triads= |
| || Number || Chord || Transversal || Type || | | |
| || 1 || 0-1-6 || 1-6/5-3/2 || utonal || | | {| class="wikitable" |
| || 2 || 0-5-6 || 1-5/4-3/2 || otonal || | | |- |
| || 3 || 0-1-7 || 1-6/5-9/5 || otonal || | | | | Number |
| || 4 || 0-6-7 || 1-3/2-9/5 || utonal || | | | | Chord |
| || 5 || 0-5-10 || 1-5/4-14/9 || marvel || | | | | Transversal |
| || 6 || 0-5-12 || 1-5/4-9/8 || otonal || | | | | Type |
| || 7 || 0-6-12 || 1-3/2-9/8 || ambitonal || | | |- |
| || 8 || 0-7-12 || 1-9/5-9/8 || utonal || | | | | 1 |
| || 9 || 0-6-16 || 1-3/2-7/6 || otonal || | | | | 0-1-6 |
| || 10 || 0-10-16 || 1-14/9-7/6 || utonal || | | | | 1-6/5-3/2 |
| || 11 || 0-1-17 || 1-6/5-7/5 || otonal || | | | | utonal |
| || 12 || 0-5-17 || 1-5/4-7/5 || marvel || | | |- |
| || 13 || 0-7-17 || 1-9/5-7/5 || otonal || | | | | 2 |
| || 14 || 0-10-17 || 1-14/9-7/5 || utonal || | | | | 0-5-6 |
| || 15 || 0-12-17 || 1-9/8-7/5 || marvel || | | | | 1-5/4-3/2 |
| || 16 || 0-16-17 || 1-7/6-7/5 || utonal || | | | | otonal |
| || 17 || 0-5-21 || 1-5/4-16/11 || keenanismic || | | |- |
| || 18 || 0-16-21 || 1-7/6-16/11 || keenanismic || | | | | 3 |
| || 19 || 0-1-22 || 1-6/5-7/4 || keenanismic || | | | | 0-1-7 |
| || 20 || 0-5-22 || 1-5/4-7/4 || otonal || | | | | 1-6/5-9/5 |
| || 21 || 0-6-22 || 1-3/2-7/4 || otonal || | | | | otonal |
| || 22 || 0-10-22 || 1-14/9-7/4 || utonal || | | |- |
| || 23 || 0-12-22 || 1-9/8-7/4 || otonal || | | | | 4 |
| || 24 || 0-16-22 || 1-7/6-7/4 || utonal || | | | | 0-6-7 |
| || 25 || 0-17-22 || 1-7/5-7/4 || utonal || | | | | 1-3/2-9/5 |
| || 26 || 0-21-22 || 1-16/11-7/4 || keenanismic || | | | | utonal |
| || 27 || 0-5-26 || 1-5/4-20/11 || utonal || | | |- |
| || 28 || 0-10-26 || 1-14/9-20/11 || swetismic || | | | | 5 |
| || 29 || 0-16-26 || 1-7/6-20/11 || swetismic || | | | | 0-5-10 |
| || 30 || 0-21-26 || 1-16/11-20/11 || otonal || | | | | 1-5/4-14/9 |
| || 31 || 0-1-27 || 1-6/5-12/11 || utonal || | | | | marvel |
| || 32 || 0-5-27 || 1-5/4-12/11 || keenanismic || | | |- |
| || 33 || 0-6-27 || 1-3/2-12/11 || utonal || | | | | 6 |
| || 34 || 0-10-27 || 1-14/9-12/11 || swetismic || | | | | 0-5-12 |
| || 35 || 0-17-27 || 1-7/5-12/11 || swetismic || | | | | 1-5/4-9/8 |
| || 36 || 0-21-27 || 1-16/11-12/11 || otonal || | | | | otonal |
| || 37 || 0-22-27 || 1-7/4-12/11 || keenanismic || | | |- |
| || 38 || 0-26-27 || 1-20/11-12/11 || otonal || | | | | 7 |
| || 39 || 0-6-33 || 1-3/2-18/11 || utonal || | | | | 0-6-12 |
| || 40 || 0-7-33 || 1-9/5-18/11 || utonal || | | | | 1-3/2-9/8 |
| || 41 || 0-12-33 || 1-9/8-18/11 || utonal || | | | | ambitonal |
| || 42 || 0-16-33 || 1-7/6-18/11 || swetismic || | | |- |
| || 43 || 0-17-33 || 1-7/5-18/11 || swetismic || | | | | 8 |
| || 44 || 0-21-33 || 1-16/11-18/11 || otonal || | | | | 0-7-12 |
| || 45 || 0-26-33 || 1-20/11-18/11 || otonal || | | | | 1-9/5-9/8 |
| || 46 || 0-27-33 || 1-12/11-18/11 || otonal || | | | | utonal |
| || 47 || 0-10-43 || 1-14/9-14/11 || utonal || | | |- |
| || 48 || 0-16-43 || 1-7/6-14/11 || utonal || | | | | 9 |
| || 49 || 0-17-43 || 1-7/5-14/11 || utonal || | | | | 0-6-16 |
| || 50 || 0-21-43 || 1-16/11-14/11 || otonal || | | | | 1-3/2-7/6 |
| || 51 || 0-22-43 || 1-7/4-14/11 || utonal || | | | | otonal |
| || 52 || 0-26-43 || 1-20/11-14/11 || otonal || | | |- |
| || 53 || 0-27-43 || 1-12/11-14/11 || otonal || | | | | 10 |
| || 54 || 0-33-43 || 1-18/11-14/11 || otonal || | | | | 0-10-16 |
| | | | 1-14/9-7/6 |
| | | | utonal |
| | |- |
| | | | 11 |
| | | | 0-1-17 |
| | | | 1-6/5-7/5 |
| | | | otonal |
| | |- |
| | | | 12 |
| | | | 0-5-17 |
| | | | 1-5/4-7/5 |
| | | | marvel |
| | |- |
| | | | 13 |
| | | | 0-7-17 |
| | | | 1-9/5-7/5 |
| | | | otonal |
| | |- |
| | | | 14 |
| | | | 0-10-17 |
| | | | 1-14/9-7/5 |
| | | | utonal |
| | |- |
| | | | 15 |
| | | | 0-12-17 |
| | | | 1-9/8-7/5 |
| | | | marvel |
| | |- |
| | | | 16 |
| | | | 0-16-17 |
| | | | 1-7/6-7/5 |
| | | | utonal |
| | |- |
| | | | 17 |
| | | | 0-5-21 |
| | | | 1-5/4-16/11 |
| | | | keenanismic |
| | |- |
| | | | 18 |
| | | | 0-16-21 |
| | | | 1-7/6-16/11 |
| | | | keenanismic |
| | |- |
| | | | 19 |
| | | | 0-1-22 |
| | | | 1-6/5-7/4 |
| | | | keenanismic |
| | |- |
| | | | 20 |
| | | | 0-5-22 |
| | | | 1-5/4-7/4 |
| | | | otonal |
| | |- |
| | | | 21 |
| | | | 0-6-22 |
| | | | 1-3/2-7/4 |
| | | | otonal |
| | |- |
| | | | 22 |
| | | | 0-10-22 |
| | | | 1-14/9-7/4 |
| | | | utonal |
| | |- |
| | | | 23 |
| | | | 0-12-22 |
| | | | 1-9/8-7/4 |
| | | | otonal |
| | |- |
| | | | 24 |
| | | | 0-16-22 |
| | | | 1-7/6-7/4 |
| | | | utonal |
| | |- |
| | | | 25 |
| | | | 0-17-22 |
| | | | 1-7/5-7/4 |
| | | | utonal |
| | |- |
| | | | 26 |
| | | | 0-21-22 |
| | | | 1-16/11-7/4 |
| | | | keenanismic |
| | |- |
| | | | 27 |
| | | | 0-5-26 |
| | | | 1-5/4-20/11 |
| | | | utonal |
| | |- |
| | | | 28 |
| | | | 0-10-26 |
| | | | 1-14/9-20/11 |
| | | | swetismic |
| | |- |
| | | | 29 |
| | | | 0-16-26 |
| | | | 1-7/6-20/11 |
| | | | swetismic |
| | |- |
| | | | 30 |
| | | | 0-21-26 |
| | | | 1-16/11-20/11 |
| | | | otonal |
| | |- |
| | | | 31 |
| | | | 0-1-27 |
| | | | 1-6/5-12/11 |
| | | | utonal |
| | |- |
| | | | 32 |
| | | | 0-5-27 |
| | | | 1-5/4-12/11 |
| | | | keenanismic |
| | |- |
| | | | 33 |
| | | | 0-6-27 |
| | | | 1-3/2-12/11 |
| | | | utonal |
| | |- |
| | | | 34 |
| | | | 0-10-27 |
| | | | 1-14/9-12/11 |
| | | | swetismic |
| | |- |
| | | | 35 |
| | | | 0-17-27 |
| | | | 1-7/5-12/11 |
| | | | swetismic |
| | |- |
| | | | 36 |
| | | | 0-21-27 |
| | | | 1-16/11-12/11 |
| | | | otonal |
| | |- |
| | | | 37 |
| | | | 0-22-27 |
| | | | 1-7/4-12/11 |
| | | | keenanismic |
| | |- |
| | | | 38 |
| | | | 0-26-27 |
| | | | 1-20/11-12/11 |
| | | | otonal |
| | |- |
| | | | 39 |
| | | | 0-6-33 |
| | | | 1-3/2-18/11 |
| | | | utonal |
| | |- |
| | | | 40 |
| | | | 0-7-33 |
| | | | 1-9/5-18/11 |
| | | | utonal |
| | |- |
| | | | 41 |
| | | | 0-12-33 |
| | | | 1-9/8-18/11 |
| | | | utonal |
| | |- |
| | | | 42 |
| | | | 0-16-33 |
| | | | 1-7/6-18/11 |
| | | | swetismic |
| | |- |
| | | | 43 |
| | | | 0-17-33 |
| | | | 1-7/5-18/11 |
| | | | swetismic |
| | |- |
| | | | 44 |
| | | | 0-21-33 |
| | | | 1-16/11-18/11 |
| | | | otonal |
| | |- |
| | | | 45 |
| | | | 0-26-33 |
| | | | 1-20/11-18/11 |
| | | | otonal |
| | |- |
| | | | 46 |
| | | | 0-27-33 |
| | | | 1-12/11-18/11 |
| | | | otonal |
| | |- |
| | | | 47 |
| | | | 0-10-43 |
| | | | 1-14/9-14/11 |
| | | | utonal |
| | |- |
| | | | 48 |
| | | | 0-16-43 |
| | | | 1-7/6-14/11 |
| | | | utonal |
| | |- |
| | | | 49 |
| | | | 0-17-43 |
| | | | 1-7/5-14/11 |
| | | | utonal |
| | |- |
| | | | 50 |
| | | | 0-21-43 |
| | | | 1-16/11-14/11 |
| | | | otonal |
| | |- |
| | | | 51 |
| | | | 0-22-43 |
| | | | 1-7/4-14/11 |
| | | | utonal |
| | |- |
| | | | 52 |
| | | | 0-26-43 |
| | | | 1-20/11-14/11 |
| | | | otonal |
| | |- |
| | | | 53 |
| | | | 0-27-43 |
| | | | 1-12/11-14/11 |
| | | | otonal |
| | |- |
| | | | 54 |
| | | | 0-33-43 |
| | | | 1-18/11-14/11 |
| | | | otonal |
| | |} |
|
| |
|
| =Tetrads= | | =Tetrads= |
| || Number || Chord || Transversal || Type || | | |
| || 1 || 0-1-6-7 || 1-6/5-3/2-9/5 || ambitonal || | | {| class="wikitable" |
| || 2 || 0-5-6-12 || 1-5/4-3/2-9/8 || otonal || | | |- |
| || 3 || 0-6-7-12 || 1-3/2-9/5-9/8 || utonal || | | | | Number |
| || 4 || 0-1-7-17 || 1-6/5-9/5-7/5 || otonal || | | | | Chord |
| || 5 || 0-5-10-17 || 1-5/4-14/9-7/5 || marvel || | | | | Transversal |
| || 6 || 0-5-12-17 || 1-5/4-9/8-7/5 || marvel || | | | | Type |
| || 7 || 0-7-12-17 || 1-9/5-9/8-7/5 || marvel || | | |- |
| || 8 || 0-10-16-17 || 1-14/9-7/6-7/5 || utonal || | | | | 1 |
| || 9 || 0-1-6-22 || 1-6/5-3/2-7/4 || keenanismic || | | | | 0-1-6-7 |
| || 10 || 0-5-6-22 || 1-5/4-3/2-7/4 || otonal || | | | | 1-6/5-3/2-9/5 |
| || 11 || 0-5-10-22 || 1-5/4-14/9-7/4 || marvel || | | | | ambitonal |
| || 12 || 0-5-12-22 || 1-5/4-9/8-7/4 || otonal || | | |- |
| || 13 || 0-6-12-22 || 1-3/2-9/8-7/4 || otonal || | | | | 2 |
| || 14 || 0-6-16-22 || 1-3/2-7/6-7/4 || ambitonal || | | | | 0-5-6-12 |
| || 15 || 0-10-16-22 || 1-14/9-7/6-7/4 || utonal || | | | | 1-5/4-3/2-9/8 |
| || 16 || 0-1-17-22 || 1-6/5-7/5-7/4 || keenanismic || | | | | otonal |
| || 17 || 0-5-17-22 || 1-5/4-7/5-7/4 || marvel || | | |- |
| || 18 || 0-10-17-22 || 1-14/9-7/5-7/4 || utonal || | | | | 3 |
| || 19 || 0-12-17-22 || 1-9/8-7/5-7/4 || marvel || | | | | 0-6-7-12 |
| || 20 || 0-16-17-22 || 1-7/6-7/5-7/4 || utonal || | | | | 1-3/2-9/5-9/8 |
| || 21 || 0-5-21-22 || 1-5/4-16/11-7/4 || keenanismic || | | | | utonal |
| || 22 || 0-16-21-22 || 1-7/6-16/11-7/4 || keenanismic || | | |- |
| || 23 || 0-5-10-26 || 1-5/4-14/9-20/11 || unimarv || | | | | 4 |
| || 24 || 0-10-16-26 || 1-14/9-7/6-20/11 || swetismic || | | | | 0-1-7-17 |
| || 25 || 0-5-21-26 || 1-5/4-16/11-20/11 || keenanismic || | | | | 1-6/5-9/5-7/5 |
| || 26 || 0-16-21-26 || 1-7/6-16/11-20/11 || unimarv || | | | | otonal |
| || 27 || 0-1-6-27 || 1-6/5-3/2-12/11 || utonal || | | |- |
| || 28 || 0-5-6-27 || 1-5/4-3/2-12/11 || keenanismic || | | | | 5 |
| || 29 || 0-5-10-27 || 1-5/4-14/9-12/11 || unimarv || | | | | 0-5-10-17 |
| || 30 || 0-1-17-27 || 1-6/5-7/5-12/11 || swetismic || | | | | 1-5/4-14/9-7/5 |
| || 31 || 0-5-17-27 || 1-5/4-7/5-12/11 || unimarv || | | | | marvel |
| || 32 || 0-10-17-27 || 1-14/9-7/5-12/11 || swetismic || | | |- |
| || 33 || 0-5-21-27 || 1-5/4-16/11-12/11 || keenanismic || | | | | 6 |
| || 34 || 0-1-22-27 || 1-6/5-7/4-12/11 || keenanismic || | | | | 0-5-12-17 |
| || 35 || 0-5-22-27 || 1-5/4-7/4-12/11 || keenanismic || | | | | 1-5/4-9/8-7/5 |
| || 36 || 0-6-22-27 || 1-3/2-7/4-12/11 || keenanismic || | | | | marvel |
| || 37 || 0-10-22-27 || 1-14/9-7/4-12/11 || unimarv || | | |- |
| || 38 || 0-17-22-27 || 1-7/5-7/4-12/11 || unimarv || | | | | 7 |
| || 39 || 0-21-22-27 || 1-16/11-7/4-12/11 || keenanismic || | | | | 0-7-12-17 |
| || 40 || 0-5-26-27 || 1-5/4-20/11-12/11 || keenanismic || | | | | 1-9/5-9/8-7/5 |
| || 41 || 0-10-26-27 || 1-14/9-20/11-12/11 || swetismic || | | | | marvel |
| || 42 || 0-21-26-27 || 1-16/11-20/11-12/11 || otonal || | | |- |
| || 43 || 0-6-7-33 || 1-3/2-9/5-18/11 || utonal || | | | | 8 |
| || 44 || 0-6-12-33 || 1-3/2-9/8-18/11 || utonal || | | | | 0-10-16-17 |
| || 45 || 0-7-12-33 || 1-9/5-9/8-18/11 || utonal || | | | | 1-14/9-7/6-7/5 |
| || 46 || 0-6-16-33 || 1-3/2-7/6-18/11 || swetismic || | | | | utonal |
| || 47 || 0-7-17-33 || 1-9/5-7/5-18/11 || swetismic || | | |- |
| || 48 || 0-12-17-33 || 1-9/8-7/5-18/11 || unimarv || | | | | 9 |
| || 49 || 0-16-17-33 || 1-7/6-7/5-18/11 || swetismic || | | | | 0-1-6-22 |
| || 50 || 0-16-21-33 || 1-7/6-16/11-18/11 || unimarv || | | | | 1-6/5-3/2-7/4 |
| || 51 || 0-16-26-33 || 1-7/6-20/11-18/11 || swetismic || | | | | keenanismic |
| || 52 || 0-21-26-33 || 1-16/11-20/11-18/11 || otonal || | | |- |
| || 53 || 0-6-27-33 || 1-3/2-12/11-18/11 || ambitonal || | | | | 10 |
| || 54 || 0-17-27-33 || 1-7/5-12/11-18/11 || swetismic || | | | | 0-5-6-22 |
| || 55 || 0-21-27-33 || 1-16/11-12/11-18/11 || otonal || | | | | 1-5/4-3/2-7/4 |
| || 56 || 0-26-27-33 || 1-20/11-12/11-18/11 || otonal || | | | | otonal |
| || 57 || 0-10-16-43 || 1-14/9-7/6-14/11 || utonal || | | |- |
| || 58 || 0-10-17-43 || 1-14/9-7/5-14/11 || utonal || | | | | 11 |
| || 59 || 0-16-17-43 || 1-7/6-7/5-14/11 || utonal || | | | | 0-5-10-22 |
| || 60 || 0-16-21-43 || 1-7/6-16/11-14/11 || keenanismic || | | | | 1-5/4-14/9-7/4 |
| || 61 || 0-10-22-43 || 1-14/9-7/4-14/11 || utonal || | | | | marvel |
| || 62 || 0-16-22-43 || 1-7/6-7/4-14/11 || utonal || | | |- |
| || 63 || 0-17-22-43 || 1-7/5-7/4-14/11 || utonal || | | | | 12 |
| || 64 || 0-21-22-43 || 1-16/11-7/4-14/11 || keenanismic || | | | | 0-5-12-22 |
| || 65 || 0-10-26-43 || 1-14/9-20/11-14/11 || swetismic || | | | | 1-5/4-9/8-7/4 |
| || 66 || 0-16-26-43 || 1-7/6-20/11-14/11 || swetismic || | | | | otonal |
| || 67 || 0-21-26-43 || 1-16/11-20/11-14/11 || otonal || | | |- |
| || 68 || 0-10-27-43 || 1-14/9-12/11-14/11 || swetismic || | | | | 13 |
| || 69 || 0-17-27-43 || 1-7/5-12/11-14/11 || swetismic || | | | | 0-6-12-22 |
| || 70 || 0-21-27-43 || 1-16/11-12/11-14/11 || otonal || | | | | 1-3/2-9/8-7/4 |
| || 71 || 0-22-27-43 || 1-7/4-12/11-14/11 || keenanismic || | | | | otonal |
| || 72 || 0-26-27-43 || 1-20/11-12/11-14/11 || otonal || | | |- |
| || 73 || 0-16-33-43 || 1-7/6-18/11-14/11 || swetismic || | | | | 14 |
| || 74 || 0-17-33-43 || 1-7/5-18/11-14/11 || swetismic || | | | | 0-6-16-22 |
| || 75 || 0-21-33-43 || 1-16/11-18/11-14/11 || otonal || | | | | 1-3/2-7/6-7/4 |
| || 76 || 0-26-33-43 || 1-20/11-18/11-14/11 || otonal || | | | | ambitonal |
| || 77 || 0-27-33-43 || 1-12/11-18/11-14/11 || otonal || | | |- |
| | | | 15 |
| | | | 0-10-16-22 |
| | | | 1-14/9-7/6-7/4 |
| | | | utonal |
| | |- |
| | | | 16 |
| | | | 0-1-17-22 |
| | | | 1-6/5-7/5-7/4 |
| | | | keenanismic |
| | |- |
| | | | 17 |
| | | | 0-5-17-22 |
| | | | 1-5/4-7/5-7/4 |
| | | | marvel |
| | |- |
| | | | 18 |
| | | | 0-10-17-22 |
| | | | 1-14/9-7/5-7/4 |
| | | | utonal |
| | |- |
| | | | 19 |
| | | | 0-12-17-22 |
| | | | 1-9/8-7/5-7/4 |
| | | | marvel |
| | |- |
| | | | 20 |
| | | | 0-16-17-22 |
| | | | 1-7/6-7/5-7/4 |
| | | | utonal |
| | |- |
| | | | 21 |
| | | | 0-5-21-22 |
| | | | 1-5/4-16/11-7/4 |
| | | | keenanismic |
| | |- |
| | | | 22 |
| | | | 0-16-21-22 |
| | | | 1-7/6-16/11-7/4 |
| | | | keenanismic |
| | |- |
| | | | 23 |
| | | | 0-5-10-26 |
| | | | 1-5/4-14/9-20/11 |
| | | | unimarv |
| | |- |
| | | | 24 |
| | | | 0-10-16-26 |
| | | | 1-14/9-7/6-20/11 |
| | | | swetismic |
| | |- |
| | | | 25 |
| | | | 0-5-21-26 |
| | | | 1-5/4-16/11-20/11 |
| | | | keenanismic |
| | |- |
| | | | 26 |
| | | | 0-16-21-26 |
| | | | 1-7/6-16/11-20/11 |
| | | | unimarv |
| | |- |
| | | | 27 |
| | | | 0-1-6-27 |
| | | | 1-6/5-3/2-12/11 |
| | | | utonal |
| | |- |
| | | | 28 |
| | | | 0-5-6-27 |
| | | | 1-5/4-3/2-12/11 |
| | | | keenanismic |
| | |- |
| | | | 29 |
| | | | 0-5-10-27 |
| | | | 1-5/4-14/9-12/11 |
| | | | unimarv |
| | |- |
| | | | 30 |
| | | | 0-1-17-27 |
| | | | 1-6/5-7/5-12/11 |
| | | | swetismic |
| | |- |
| | | | 31 |
| | | | 0-5-17-27 |
| | | | 1-5/4-7/5-12/11 |
| | | | unimarv |
| | |- |
| | | | 32 |
| | | | 0-10-17-27 |
| | | | 1-14/9-7/5-12/11 |
| | | | swetismic |
| | |- |
| | | | 33 |
| | | | 0-5-21-27 |
| | | | 1-5/4-16/11-12/11 |
| | | | keenanismic |
| | |- |
| | | | 34 |
| | | | 0-1-22-27 |
| | | | 1-6/5-7/4-12/11 |
| | | | keenanismic |
| | |- |
| | | | 35 |
| | | | 0-5-22-27 |
| | | | 1-5/4-7/4-12/11 |
| | | | keenanismic |
| | |- |
| | | | 36 |
| | | | 0-6-22-27 |
| | | | 1-3/2-7/4-12/11 |
| | | | keenanismic |
| | |- |
| | | | 37 |
| | | | 0-10-22-27 |
| | | | 1-14/9-7/4-12/11 |
| | | | unimarv |
| | |- |
| | | | 38 |
| | | | 0-17-22-27 |
| | | | 1-7/5-7/4-12/11 |
| | | | unimarv |
| | |- |
| | | | 39 |
| | | | 0-21-22-27 |
| | | | 1-16/11-7/4-12/11 |
| | | | keenanismic |
| | |- |
| | | | 40 |
| | | | 0-5-26-27 |
| | | | 1-5/4-20/11-12/11 |
| | | | keenanismic |
| | |- |
| | | | 41 |
| | | | 0-10-26-27 |
| | | | 1-14/9-20/11-12/11 |
| | | | swetismic |
| | |- |
| | | | 42 |
| | | | 0-21-26-27 |
| | | | 1-16/11-20/11-12/11 |
| | | | otonal |
| | |- |
| | | | 43 |
| | | | 0-6-7-33 |
| | | | 1-3/2-9/5-18/11 |
| | | | utonal |
| | |- |
| | | | 44 |
| | | | 0-6-12-33 |
| | | | 1-3/2-9/8-18/11 |
| | | | utonal |
| | |- |
| | | | 45 |
| | | | 0-7-12-33 |
| | | | 1-9/5-9/8-18/11 |
| | | | utonal |
| | |- |
| | | | 46 |
| | | | 0-6-16-33 |
| | | | 1-3/2-7/6-18/11 |
| | | | swetismic |
| | |- |
| | | | 47 |
| | | | 0-7-17-33 |
| | | | 1-9/5-7/5-18/11 |
| | | | swetismic |
| | |- |
| | | | 48 |
| | | | 0-12-17-33 |
| | | | 1-9/8-7/5-18/11 |
| | | | unimarv |
| | |- |
| | | | 49 |
| | | | 0-16-17-33 |
| | | | 1-7/6-7/5-18/11 |
| | | | swetismic |
| | |- |
| | | | 50 |
| | | | 0-16-21-33 |
| | | | 1-7/6-16/11-18/11 |
| | | | unimarv |
| | |- |
| | | | 51 |
| | | | 0-16-26-33 |
| | | | 1-7/6-20/11-18/11 |
| | | | swetismic |
| | |- |
| | | | 52 |
| | | | 0-21-26-33 |
| | | | 1-16/11-20/11-18/11 |
| | | | otonal |
| | |- |
| | | | 53 |
| | | | 0-6-27-33 |
| | | | 1-3/2-12/11-18/11 |
| | | | ambitonal |
| | |- |
| | | | 54 |
| | | | 0-17-27-33 |
| | | | 1-7/5-12/11-18/11 |
| | | | swetismic |
| | |- |
| | | | 55 |
| | | | 0-21-27-33 |
| | | | 1-16/11-12/11-18/11 |
| | | | otonal |
| | |- |
| | | | 56 |
| | | | 0-26-27-33 |
| | | | 1-20/11-12/11-18/11 |
| | | | otonal |
| | |- |
| | | | 57 |
| | | | 0-10-16-43 |
| | | | 1-14/9-7/6-14/11 |
| | | | utonal |
| | |- |
| | | | 58 |
| | | | 0-10-17-43 |
| | | | 1-14/9-7/5-14/11 |
| | | | utonal |
| | |- |
| | | | 59 |
| | | | 0-16-17-43 |
| | | | 1-7/6-7/5-14/11 |
| | | | utonal |
| | |- |
| | | | 60 |
| | | | 0-16-21-43 |
| | | | 1-7/6-16/11-14/11 |
| | | | keenanismic |
| | |- |
| | | | 61 |
| | | | 0-10-22-43 |
| | | | 1-14/9-7/4-14/11 |
| | | | utonal |
| | |- |
| | | | 62 |
| | | | 0-16-22-43 |
| | | | 1-7/6-7/4-14/11 |
| | | | utonal |
| | |- |
| | | | 63 |
| | | | 0-17-22-43 |
| | | | 1-7/5-7/4-14/11 |
| | | | utonal |
| | |- |
| | | | 64 |
| | | | 0-21-22-43 |
| | | | 1-16/11-7/4-14/11 |
| | | | keenanismic |
| | |- |
| | | | 65 |
| | | | 0-10-26-43 |
| | | | 1-14/9-20/11-14/11 |
| | | | swetismic |
| | |- |
| | | | 66 |
| | | | 0-16-26-43 |
| | | | 1-7/6-20/11-14/11 |
| | | | swetismic |
| | |- |
| | | | 67 |
| | | | 0-21-26-43 |
| | | | 1-16/11-20/11-14/11 |
| | | | otonal |
| | |- |
| | | | 68 |
| | | | 0-10-27-43 |
| | | | 1-14/9-12/11-14/11 |
| | | | swetismic |
| | |- |
| | | | 69 |
| | | | 0-17-27-43 |
| | | | 1-7/5-12/11-14/11 |
| | | | swetismic |
| | |- |
| | | | 70 |
| | | | 0-21-27-43 |
| | | | 1-16/11-12/11-14/11 |
| | | | otonal |
| | |- |
| | | | 71 |
| | | | 0-22-27-43 |
| | | | 1-7/4-12/11-14/11 |
| | | | keenanismic |
| | |- |
| | | | 72 |
| | | | 0-26-27-43 |
| | | | 1-20/11-12/11-14/11 |
| | | | otonal |
| | |- |
| | | | 73 |
| | | | 0-16-33-43 |
| | | | 1-7/6-18/11-14/11 |
| | | | swetismic |
| | |- |
| | | | 74 |
| | | | 0-17-33-43 |
| | | | 1-7/5-18/11-14/11 |
| | | | swetismic |
| | |- |
| | | | 75 |
| | | | 0-21-33-43 |
| | | | 1-16/11-18/11-14/11 |
| | | | otonal |
| | |- |
| | | | 76 |
| | | | 0-26-33-43 |
| | | | 1-20/11-18/11-14/11 |
| | | | otonal |
| | |- |
| | | | 77 |
| | | | 0-27-33-43 |
| | | | 1-12/11-18/11-14/11 |
| | | | otonal |
| | |} |
|
| |
|
| =Pentads= | | =Pentads= |
| || Number || Chord || Transversal || Type || | | |
| || 1 || 0-5-6-12-22 || 1-5/4-3/2-9/8-7/4 || otonal || | | {| class="wikitable" |
| || 2 || 0-5-10-17-22 || 1-5/4-14/9-7/5-7/4 || marvel || | | |- |
| || 3 || 0-5-12-17-22 || 1-5/4-9/8-7/5-7/4 || marvel || | | | | Number |
| || 4 || 0-10-16-17-22 || 1-14/9-7/6-7/5-7/4 || utonal || | | | | Chord |
| || 5 || 0-5-10-17-27 || 1-5/4-14/9-7/5-12/11 || unimarv || | | | | Transversal |
| || 6 || 0-1-6-22-27 || 1-6/5-3/2-7/4-12/11 || keenanismic || | | | | Type |
| || 7 || 0-5-6-22-27 || 1-5/4-3/2-7/4-12/11 || keenanismic || | | |- |
| || 8 || 0-5-10-22-27 || 1-5/4-14/9-7/4-12/11 || unimarv || | | | | 1 |
| || 9 || 0-1-17-22-27 || 1-6/5-7/5-7/4-12/11 || unimarv || | | | | 0-5-6-12-22 |
| || 10 || 0-5-17-22-27 || 1-5/4-7/5-7/4-12/11 || unimarv || | | | | 1-5/4-3/2-9/8-7/4 |
| || 11 || 0-10-17-22-27 || 1-14/9-7/5-7/4-12/11 || unimarv || | | | | otonal |
| || 12 || 0-5-21-22-27 || 1-5/4-16/11-7/4-12/11 || keenanismic || | | |- |
| || 13 || 0-5-10-26-27 || 1-5/4-14/9-20/11-12/11 || unimarv || | | | | 2 |
| || 14 || 0-5-21-26-27 || 1-5/4-16/11-20/11-12/11 || keenanismic || | | | | 0-5-10-17-22 |
| || 15 || 0-6-7-12-33 || 1-3/2-9/5-9/8-18/11 || utonal || | | | | 1-5/4-14/9-7/5-7/4 |
| || 16 || 0-7-12-17-33 || 1-9/5-9/8-7/5-18/11 || unimarv || | | | | marvel |
| || 17 || 0-16-21-26-33 || 1-7/6-16/11-20/11-18/11 || unimarv || | | |- |
| || 18 || 0-21-26-27-33 || 1-16/11-20/11-12/11-18/11 || otonal || | | | | 3 |
| || 19 || 0-10-16-17-43 || 1-14/9-7/6-7/5-14/11 || utonal || | | | | 0-5-12-17-22 |
| || 20 || 0-10-16-22-43 || 1-14/9-7/6-7/4-14/11 || utonal || | | | | 1-5/4-9/8-7/5-7/4 |
| || 21 || 0-10-17-22-43 || 1-14/9-7/5-7/4-14/11 || utonal || | | | | marvel |
| || 22 || 0-16-17-22-43 || 1-7/6-7/5-7/4-14/11 || utonal || | | |- |
| || 23 || 0-16-21-22-43 || 1-7/6-16/11-7/4-14/11 || keenanismic || | | | | 4 |
| || 24 || 0-10-16-26-43 || 1-14/9-7/6-20/11-14/11 || swetismic || | | | | 0-10-16-17-22 |
| || 25 || 0-16-21-26-43 || 1-7/6-16/11-20/11-14/11 || unimarv || | | | | 1-14/9-7/6-7/5-7/4 |
| || 26 || 0-10-17-27-43 || 1-14/9-7/5-12/11-14/11 || swetismic || | | | | utonal |
| || 27 || 0-10-22-27-43 || 1-14/9-7/4-12/11-14/11 || unimarv || | | |- |
| || 28 || 0-17-22-27-43 || 1-7/5-7/4-12/11-14/11 || unimarv || | | | | 5 |
| || 29 || 0-21-22-27-43 || 1-16/11-7/4-12/11-14/11 || keenanismic || | | | | 0-5-10-17-27 |
| || 30 || 0-10-26-27-43 || 1-14/9-20/11-12/11-14/11 || swetismic || | | | | 1-5/4-14/9-7/5-12/11 |
| || 31 || 0-21-26-27-43 || 1-16/11-20/11-12/11-14/11 || otonal || | | | | unimarv |
| || 32 || 0-16-17-33-43 || 1-7/6-7/5-18/11-14/11 || swetismic || | | |- |
| || 33 || 0-16-21-33-43 || 1-7/6-16/11-18/11-14/11 || unimarv || | | | | 6 |
| || 34 || 0-16-26-33-43 || 1-7/6-20/11-18/11-14/11 || swetismic || | | | | 0-1-6-22-27 |
| || 35 || 0-21-26-33-43 || 1-16/11-20/11-18/11-14/11 || otonal || | | | | 1-6/5-3/2-7/4-12/11 |
| || 36 || 0-17-27-33-43 || 1-7/5-12/11-18/11-14/11 || swetismic || | | | | keenanismic |
| || 37 || 0-21-27-33-43 || 1-16/11-12/11-18/11-14/11 || otonal || | | |- |
| || 38 || 0-26-27-33-43 || 1-20/11-12/11-18/11-14/11 || otonal || | | | | 7 |
| | | | 0-5-6-22-27 |
| | | | 1-5/4-3/2-7/4-12/11 |
| | | | keenanismic |
| | |- |
| | | | 8 |
| | | | 0-5-10-22-27 |
| | | | 1-5/4-14/9-7/4-12/11 |
| | | | unimarv |
| | |- |
| | | | 9 |
| | | | 0-1-17-22-27 |
| | | | 1-6/5-7/5-7/4-12/11 |
| | | | unimarv |
| | |- |
| | | | 10 |
| | | | 0-5-17-22-27 |
| | | | 1-5/4-7/5-7/4-12/11 |
| | | | unimarv |
| | |- |
| | | | 11 |
| | | | 0-10-17-22-27 |
| | | | 1-14/9-7/5-7/4-12/11 |
| | | | unimarv |
| | |- |
| | | | 12 |
| | | | 0-5-21-22-27 |
| | | | 1-5/4-16/11-7/4-12/11 |
| | | | keenanismic |
| | |- |
| | | | 13 |
| | | | 0-5-10-26-27 |
| | | | 1-5/4-14/9-20/11-12/11 |
| | | | unimarv |
| | |- |
| | | | 14 |
| | | | 0-5-21-26-27 |
| | | | 1-5/4-16/11-20/11-12/11 |
| | | | keenanismic |
| | |- |
| | | | 15 |
| | | | 0-6-7-12-33 |
| | | | 1-3/2-9/5-9/8-18/11 |
| | | | utonal |
| | |- |
| | | | 16 |
| | | | 0-7-12-17-33 |
| | | | 1-9/5-9/8-7/5-18/11 |
| | | | unimarv |
| | |- |
| | | | 17 |
| | | | 0-16-21-26-33 |
| | | | 1-7/6-16/11-20/11-18/11 |
| | | | unimarv |
| | |- |
| | | | 18 |
| | | | 0-21-26-27-33 |
| | | | 1-16/11-20/11-12/11-18/11 |
| | | | otonal |
| | |- |
| | | | 19 |
| | | | 0-10-16-17-43 |
| | | | 1-14/9-7/6-7/5-14/11 |
| | | | utonal |
| | |- |
| | | | 20 |
| | | | 0-10-16-22-43 |
| | | | 1-14/9-7/6-7/4-14/11 |
| | | | utonal |
| | |- |
| | | | 21 |
| | | | 0-10-17-22-43 |
| | | | 1-14/9-7/5-7/4-14/11 |
| | | | utonal |
| | |- |
| | | | 22 |
| | | | 0-16-17-22-43 |
| | | | 1-7/6-7/5-7/4-14/11 |
| | | | utonal |
| | |- |
| | | | 23 |
| | | | 0-16-21-22-43 |
| | | | 1-7/6-16/11-7/4-14/11 |
| | | | keenanismic |
| | |- |
| | | | 24 |
| | | | 0-10-16-26-43 |
| | | | 1-14/9-7/6-20/11-14/11 |
| | | | swetismic |
| | |- |
| | | | 25 |
| | | | 0-16-21-26-43 |
| | | | 1-7/6-16/11-20/11-14/11 |
| | | | unimarv |
| | |- |
| | | | 26 |
| | | | 0-10-17-27-43 |
| | | | 1-14/9-7/5-12/11-14/11 |
| | | | swetismic |
| | |- |
| | | | 27 |
| | | | 0-10-22-27-43 |
| | | | 1-14/9-7/4-12/11-14/11 |
| | | | unimarv |
| | |- |
| | | | 28 |
| | | | 0-17-22-27-43 |
| | | | 1-7/5-7/4-12/11-14/11 |
| | | | unimarv |
| | |- |
| | | | 29 |
| | | | 0-21-22-27-43 |
| | | | 1-16/11-7/4-12/11-14/11 |
| | | | keenanismic |
| | |- |
| | | | 30 |
| | | | 0-10-26-27-43 |
| | | | 1-14/9-20/11-12/11-14/11 |
| | | | swetismic |
| | |- |
| | | | 31 |
| | | | 0-21-26-27-43 |
| | | | 1-16/11-20/11-12/11-14/11 |
| | | | otonal |
| | |- |
| | | | 32 |
| | | | 0-16-17-33-43 |
| | | | 1-7/6-7/5-18/11-14/11 |
| | | | swetismic |
| | |- |
| | | | 33 |
| | | | 0-16-21-33-43 |
| | | | 1-7/6-16/11-18/11-14/11 |
| | | | unimarv |
| | |- |
| | | | 34 |
| | | | 0-16-26-33-43 |
| | | | 1-7/6-20/11-18/11-14/11 |
| | | | swetismic |
| | |- |
| | | | 35 |
| | | | 0-21-26-33-43 |
| | | | 1-16/11-20/11-18/11-14/11 |
| | | | otonal |
| | |- |
| | | | 36 |
| | | | 0-17-27-33-43 |
| | | | 1-7/5-12/11-18/11-14/11 |
| | | | swetismic |
| | |- |
| | | | 37 |
| | | | 0-21-27-33-43 |
| | | | 1-16/11-12/11-18/11-14/11 |
| | | | otonal |
| | |- |
| | | | 38 |
| | | | 0-26-27-33-43 |
| | | | 1-20/11-12/11-18/11-14/11 |
| | | | otonal |
| | |} |
|
| |
|
| =Hexads= | | =Hexads= |
| || Number || Chord || Transversal || Type ||
| |
| || 1 || 0-5-10-17-22-27 || 1-5/4-14/9-7/5-7/4-12/11 || unimarv ||
| |
| || 2 || 0-10-16-17-22-43 || 1-14/9-7/6-7/5-7/4-14/11 || utonal ||
| |
| || 3 || 0-10-17-22-27-43 || 1-14/9-7/5-7/4-12/11-14/11 || unimarv ||
| |
| || 4 || 0-16-21-26-33-43 || 1-7/6-16/11-20/11-18/11-14/11 || unimarv ||
| |
| || 5 || 0-21-26-27-33-43 || 1-16/11-20/11-12/11-18/11-14/11 || otonal ||
| |
| </pre></div>
| |
| <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Chords of catakleismic</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="/Kleismic%20family#Catakleismic">catakleismic temperament</a>. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, by 385/384 keenanismic, and by 225/224 marvel. Chords requiring any two of 540/539, 385/384 or 225/224 are labeled unimarvel.<br />
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| <br />
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| Catakleismic has MOS of size 7, 11, 15, 19, 34, 53 and 72. It is a complex temperament and not much attention has been paid to it, but one notable feature it has is that 11-limit marvel (unimarvel) shrinks the kleisma to a very small interval in an optimal tuning, so very little tuning damage is incurred by catakleismic over that of marvel. Hence, catakleismic can be thought of as one way of organizing the chords of marvel, which are also listed below.<br />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Triads"></a><!-- ws:end:WikiTextHeadingRule:0 -->Triads</h1>
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|
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| <table class="wiki_table">
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| <tr>
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| <td>Number<br />
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| </td>
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| <td>Chord<br />
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| </td>
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| <td>Transversal<br />
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| </td>
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| <td>Type<br />
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| </td>
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| </tr>
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| <tr>
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| <td>1<br />
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| </td>
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| <td>0-1-6<br />
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| </td>
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| <td>1-6/5-3/2<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>2<br />
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| </td>
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| <td>0-5-6<br />
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| </td>
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| <td>1-5/4-3/2<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>3<br />
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| </td>
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| <td>0-1-7<br />
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| </td>
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| <td>1-6/5-9/5<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>4<br />
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| </td>
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| <td>0-6-7<br />
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| </td>
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| <td>1-3/2-9/5<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>5<br />
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| </td>
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| <td>0-5-10<br />
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| </td>
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| <td>1-5/4-14/9<br />
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| </td>
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| <td>marvel<br />
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| </td>
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| </tr>
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| <tr>
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| <td>6<br />
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| </td>
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| <td>0-5-12<br />
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| </td>
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| <td>1-5/4-9/8<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>7<br />
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| </td>
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| <td>0-6-12<br />
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| </td>
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| <td>1-3/2-9/8<br />
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| </td>
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| <td>ambitonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>8<br />
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| </td>
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| <td>0-7-12<br />
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| </td>
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| <td>1-9/5-9/8<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>9<br />
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| </td>
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| <td>0-6-16<br />
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| </td>
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| <td>1-3/2-7/6<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>10<br />
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| </td>
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| <td>0-10-16<br />
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| </td>
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| <td>1-14/9-7/6<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>11<br />
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| </td>
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| <td>0-1-17<br />
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| </td>
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| <td>1-6/5-7/5<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>12<br />
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| </td>
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| <td>0-5-17<br />
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| </td>
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| <td>1-5/4-7/5<br />
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| </td>
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| <td>marvel<br />
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| </td>
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| </tr>
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| <tr>
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| <td>13<br />
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| </td>
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| <td>0-7-17<br />
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| </td>
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| <td>1-9/5-7/5<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>14<br />
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| </td>
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| <td>0-10-17<br />
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| </td>
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| <td>1-14/9-7/5<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>15<br />
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| </td>
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| <td>0-12-17<br />
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| </td>
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| <td>1-9/8-7/5<br />
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| </td>
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| <td>marvel<br />
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| </td>
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| </tr>
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| <tr>
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| <td>16<br />
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| </td>
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| <td>0-16-17<br />
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| </td>
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| <td>1-7/6-7/5<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>17<br />
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| </td>
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| <td>0-5-21<br />
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| </td>
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| <td>1-5/4-16/11<br />
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| </td>
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| <td>keenanismic<br />
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| </td>
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| </tr>
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| <tr>
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| <td>18<br />
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| </td>
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| <td>0-16-21<br />
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| </td>
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| <td>1-7/6-16/11<br />
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| </td>
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| <td>keenanismic<br />
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| </td>
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| </tr>
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| <tr>
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| <td>19<br />
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| </td>
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| <td>0-1-22<br />
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| </td>
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| <td>1-6/5-7/4<br />
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| </td>
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| <td>keenanismic<br />
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| </td>
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| </tr>
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| <tr>
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| <td>20<br />
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| </td>
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| <td>0-5-22<br />
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| </td>
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| <td>1-5/4-7/4<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>21<br />
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| </td>
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| <td>0-6-22<br />
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| </td>
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| <td>1-3/2-7/4<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>22<br />
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| </td>
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| <td>0-10-22<br />
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| </td>
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| <td>1-14/9-7/4<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>23<br />
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| </td>
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| <td>0-12-22<br />
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| </td>
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| <td>1-9/8-7/4<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>24<br />
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| </td>
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| <td>0-16-22<br />
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| </td>
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| <td>1-7/6-7/4<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>25<br />
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| </td>
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| <td>0-17-22<br />
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| </td>
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| <td>1-7/5-7/4<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>26<br />
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| </td>
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| <td>0-21-22<br />
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| </td>
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| <td>1-16/11-7/4<br />
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| </td>
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| <td>keenanismic<br />
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| </td>
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| </tr>
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| <tr>
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| <td>27<br />
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| </td>
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| <td>0-5-26<br />
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| </td>
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| <td>1-5/4-20/11<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>28<br />
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| </td>
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| <td>0-10-26<br />
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| </td>
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| <td>1-14/9-20/11<br />
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| </td>
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| <td>swetismic<br />
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| </td>
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| </tr>
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| <tr>
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| <td>29<br />
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| </td>
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| <td>0-16-26<br />
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| </td>
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| <td>1-7/6-20/11<br />
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| </td>
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| <td>swetismic<br />
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| </td>
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| </tr>
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| <tr>
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| <td>30<br />
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| </td>
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| <td>0-21-26<br />
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| </td>
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| <td>1-16/11-20/11<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>31<br />
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| </td>
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| <td>0-1-27<br />
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| </td>
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| <td>1-6/5-12/11<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>32<br />
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| </td>
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| <td>0-5-27<br />
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| </td>
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| <td>1-5/4-12/11<br />
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| </td>
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| <td>keenanismic<br />
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| </td>
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| </tr>
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| <tr>
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| <td>33<br />
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| </td>
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| <td>0-6-27<br />
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| </td>
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| <td>1-3/2-12/11<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>34<br />
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| </td>
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| <td>0-10-27<br />
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| </td>
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| <td>1-14/9-12/11<br />
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| </td>
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| <td>swetismic<br />
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| </td>
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| </tr>
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| <tr>
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| <td>35<br />
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| </td>
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| <td>0-17-27<br />
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| </td>
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| <td>1-7/5-12/11<br />
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| </td>
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| <td>swetismic<br />
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| </td>
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| </tr>
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| <tr>
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| <td>36<br />
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| </td>
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| <td>0-21-27<br />
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| </td>
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| <td>1-16/11-12/11<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>37<br />
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| </td>
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| <td>0-22-27<br />
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| </td>
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| <td>1-7/4-12/11<br />
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| </td>
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| <td>keenanismic<br />
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| </td>
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| </tr>
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| <tr>
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| <td>38<br />
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| </td>
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| <td>0-26-27<br />
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| </td>
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| <td>1-20/11-12/11<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>39<br />
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| </td>
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| <td>0-6-33<br />
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| </td>
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| <td>1-3/2-18/11<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>40<br />
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| </td>
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| <td>0-7-33<br />
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| </td>
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| <td>1-9/5-18/11<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>41<br />
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| </td>
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| <td>0-12-33<br />
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| </td>
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| <td>1-9/8-18/11<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>42<br />
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| </td>
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| <td>0-16-33<br />
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| </td>
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| <td>1-7/6-18/11<br />
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| </td>
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| <td>swetismic<br />
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| </td>
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| </tr>
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| <tr>
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| <td>43<br />
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| </td>
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| <td>0-17-33<br />
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| </td>
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| <td>1-7/5-18/11<br />
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| </td>
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| <td>swetismic<br />
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| </td>
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| </tr>
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| <tr>
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| <td>44<br />
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| </td>
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| <td>0-21-33<br />
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| </td>
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| <td>1-16/11-18/11<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>45<br />
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| </td>
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| <td>0-26-33<br />
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| </td>
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| <td>1-20/11-18/11<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>46<br />
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| </td>
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| <td>0-27-33<br />
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| </td>
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| <td>1-12/11-18/11<br />
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| </td>
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| <td>otonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>47<br />
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| </td>
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| <td>0-10-43<br />
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| </td>
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| <td>1-14/9-14/11<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>48<br />
| |
| </td>
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| <td>0-16-43<br />
| |
| </td>
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| <td>1-7/6-14/11<br />
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| </td>
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| <td>utonal<br />
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| </td>
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| </tr>
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| <tr>
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| <td>49<br />
| |
| </td>
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| <td>0-17-43<br />
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| </td>
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| <td>1-7/5-14/11<br />
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| </td>
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| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>50<br />
| |
| </td>
| |
| <td>0-21-43<br />
| |
| </td>
| |
| <td>1-16/11-14/11<br />
| |
| </td>
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| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>51<br />
| |
| </td>
| |
| <td>0-22-43<br />
| |
| </td>
| |
| <td>1-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>52<br />
| |
| </td>
| |
| <td>0-26-43<br />
| |
| </td>
| |
| <td>1-20/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>53<br />
| |
| </td>
| |
| <td>0-27-43<br />
| |
| </td>
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| <td>1-12/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>54<br />
| |
| </td>
| |
| <td>0-33-43<br />
| |
| </td>
| |
| <td>1-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
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| </table>
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|
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Tetrads"></a><!-- ws:end:WikiTextHeadingRule:2 -->Tetrads</h1>
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|
| |
|
| |
| <table class="wiki_table">
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| <tr>
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| <td>Number<br />
| |
| </td>
| |
| <td>Chord<br />
| |
| </td>
| |
| <td>Transversal<br />
| |
| </td>
| |
| <td>Type<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1<br />
| |
| </td>
| |
| <td>0-1-6-7<br />
| |
| </td>
| |
| <td>1-6/5-3/2-9/5<br />
| |
| </td>
| |
| <td>ambitonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2<br />
| |
| </td>
| |
| <td>0-5-6-12<br />
| |
| </td>
| |
| <td>1-5/4-3/2-9/8<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3<br />
| |
| </td>
| |
| <td>0-6-7-12<br />
| |
| </td>
| |
| <td>1-3/2-9/5-9/8<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4<br />
| |
| </td>
| |
| <td>0-1-7-17<br />
| |
| </td>
| |
| <td>1-6/5-9/5-7/5<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5<br />
| |
| </td>
| |
| <td>0-5-10-17<br />
| |
| </td>
| |
| <td>1-5/4-14/9-7/5<br />
| |
| </td>
| |
| <td>marvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6<br />
| |
| </td>
| |
| <td>0-5-12-17<br />
| |
| </td>
| |
| <td>1-5/4-9/8-7/5<br />
| |
| </td>
| |
| <td>marvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7<br />
| |
| </td>
| |
| <td>0-7-12-17<br />
| |
| </td>
| |
| <td>1-9/5-9/8-7/5<br />
| |
| </td>
| |
| <td>marvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8<br />
| |
| </td>
| |
| <td>0-10-16-17<br />
| |
| </td>
| |
| <td>1-14/9-7/6-7/5<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9<br />
| |
| </td>
| |
| <td>0-1-6-22<br />
| |
| </td>
| |
| <td>1-6/5-3/2-7/4<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10<br />
| |
| </td>
| |
| <td>0-5-6-22<br />
| |
| </td>
| |
| <td>1-5/4-3/2-7/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11<br />
| |
| </td>
| |
| <td>0-5-10-22<br />
| |
| </td>
| |
| <td>1-5/4-14/9-7/4<br />
| |
| </td>
| |
| <td>marvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12<br />
| |
| </td>
| |
| <td>0-5-12-22<br />
| |
| </td>
| |
| <td>1-5/4-9/8-7/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13<br />
| |
| </td>
| |
| <td>0-6-12-22<br />
| |
| </td>
| |
| <td>1-3/2-9/8-7/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14<br />
| |
| </td>
| |
| <td>0-6-16-22<br />
| |
| </td>
| |
| <td>1-3/2-7/6-7/4<br />
| |
| </td>
| |
| <td>ambitonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15<br />
| |
| </td>
| |
| <td>0-10-16-22<br />
| |
| </td>
| |
| <td>1-14/9-7/6-7/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16<br />
| |
| </td>
| |
| <td>0-1-17-22<br />
| |
| </td>
| |
| <td>1-6/5-7/5-7/4<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>17<br />
| |
| </td>
| |
| <td>0-5-17-22<br />
| |
| </td>
| |
| <td>1-5/4-7/5-7/4<br />
| |
| </td>
| |
| <td>marvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18<br />
| |
| </td>
| |
| <td>0-10-17-22<br />
| |
| </td>
| |
| <td>1-14/9-7/5-7/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19<br />
| |
| </td>
| |
| <td>0-12-17-22<br />
| |
| </td>
| |
| <td>1-9/8-7/5-7/4<br />
| |
| </td>
| |
| <td>marvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20<br />
| |
| </td>
| |
| <td>0-16-17-22<br />
| |
| </td>
| |
| <td>1-7/6-7/5-7/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>21<br />
| |
| </td>
| |
| <td>0-5-21-22<br />
| |
| </td>
| |
| <td>1-5/4-16/11-7/4<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>22<br />
| |
| </td>
| |
| <td>0-16-21-22<br />
| |
| </td>
| |
| <td>1-7/6-16/11-7/4<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>23<br />
| |
| </td>
| |
| <td>0-5-10-26<br />
| |
| </td>
| |
| <td>1-5/4-14/9-20/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>24<br />
| |
| </td>
| |
| <td>0-10-16-26<br />
| |
| </td>
| |
| <td>1-14/9-7/6-20/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>25<br />
| |
| </td>
| |
| <td>0-5-21-26<br />
| |
| </td>
| |
| <td>1-5/4-16/11-20/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>26<br />
| |
| </td>
| |
| <td>0-16-21-26<br />
| |
| </td>
| |
| <td>1-7/6-16/11-20/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27<br />
| |
| </td>
| |
| <td>0-1-6-27<br />
| |
| </td>
| |
| <td>1-6/5-3/2-12/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>28<br />
| |
| </td>
| |
| <td>0-5-6-27<br />
| |
| </td>
| |
| <td>1-5/4-3/2-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>29<br />
| |
| </td>
| |
| <td>0-5-10-27<br />
| |
| </td>
| |
| <td>1-5/4-14/9-12/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>30<br />
| |
| </td>
| |
| <td>0-1-17-27<br />
| |
| </td>
| |
| <td>1-6/5-7/5-12/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>31<br />
| |
| </td>
| |
| <td>0-5-17-27<br />
| |
| </td>
| |
| <td>1-5/4-7/5-12/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32<br />
| |
| </td>
| |
| <td>0-10-17-27<br />
| |
| </td>
| |
| <td>1-14/9-7/5-12/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33<br />
| |
| </td>
| |
| <td>0-5-21-27<br />
| |
| </td>
| |
| <td>1-5/4-16/11-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>34<br />
| |
| </td>
| |
| <td>0-1-22-27<br />
| |
| </td>
| |
| <td>1-6/5-7/4-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>35<br />
| |
| </td>
| |
| <td>0-5-22-27<br />
| |
| </td>
| |
| <td>1-5/4-7/4-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>36<br />
| |
| </td>
| |
| <td>0-6-22-27<br />
| |
| </td>
| |
| <td>1-3/2-7/4-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>37<br />
| |
| </td>
| |
| <td>0-10-22-27<br />
| |
| </td>
| |
| <td>1-14/9-7/4-12/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>38<br />
| |
| </td>
| |
| <td>0-17-22-27<br />
| |
| </td>
| |
| <td>1-7/5-7/4-12/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>39<br />
| |
| </td>
| |
| <td>0-21-22-27<br />
| |
| </td>
| |
| <td>1-16/11-7/4-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>40<br />
| |
| </td>
| |
| <td>0-5-26-27<br />
| |
| </td>
| |
| <td>1-5/4-20/11-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>41<br />
| |
| </td>
| |
| <td>0-10-26-27<br />
| |
| </td>
| |
| <td>1-14/9-20/11-12/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>42<br />
| |
| </td>
| |
| <td>0-21-26-27<br />
| |
| </td>
| |
| <td>1-16/11-20/11-12/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>43<br />
| |
| </td>
| |
| <td>0-6-7-33<br />
| |
| </td>
| |
| <td>1-3/2-9/5-18/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>44<br />
| |
| </td>
| |
| <td>0-6-12-33<br />
| |
| </td>
| |
| <td>1-3/2-9/8-18/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>45<br />
| |
| </td>
| |
| <td>0-7-12-33<br />
| |
| </td>
| |
| <td>1-9/5-9/8-18/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>46<br />
| |
| </td>
| |
| <td>0-6-16-33<br />
| |
| </td>
| |
| <td>1-3/2-7/6-18/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>47<br />
| |
| </td>
| |
| <td>0-7-17-33<br />
| |
| </td>
| |
| <td>1-9/5-7/5-18/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>48<br />
| |
| </td>
| |
| <td>0-12-17-33<br />
| |
| </td>
| |
| <td>1-9/8-7/5-18/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>49<br />
| |
| </td>
| |
| <td>0-16-17-33<br />
| |
| </td>
| |
| <td>1-7/6-7/5-18/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>50<br />
| |
| </td>
| |
| <td>0-16-21-33<br />
| |
| </td>
| |
| <td>1-7/6-16/11-18/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>51<br />
| |
| </td>
| |
| <td>0-16-26-33<br />
| |
| </td>
| |
| <td>1-7/6-20/11-18/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>52<br />
| |
| </td>
| |
| <td>0-21-26-33<br />
| |
| </td>
| |
| <td>1-16/11-20/11-18/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>53<br />
| |
| </td>
| |
| <td>0-6-27-33<br />
| |
| </td>
| |
| <td>1-3/2-12/11-18/11<br />
| |
| </td>
| |
| <td>ambitonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>54<br />
| |
| </td>
| |
| <td>0-17-27-33<br />
| |
| </td>
| |
| <td>1-7/5-12/11-18/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>55<br />
| |
| </td>
| |
| <td>0-21-27-33<br />
| |
| </td>
| |
| <td>1-16/11-12/11-18/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>56<br />
| |
| </td>
| |
| <td>0-26-27-33<br />
| |
| </td>
| |
| <td>1-20/11-12/11-18/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>57<br />
| |
| </td>
| |
| <td>0-10-16-43<br />
| |
| </td>
| |
| <td>1-14/9-7/6-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>58<br />
| |
| </td>
| |
| <td>0-10-17-43<br />
| |
| </td>
| |
| <td>1-14/9-7/5-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>59<br />
| |
| </td>
| |
| <td>0-16-17-43<br />
| |
| </td>
| |
| <td>1-7/6-7/5-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>60<br />
| |
| </td>
| |
| <td>0-16-21-43<br />
| |
| </td>
| |
| <td>1-7/6-16/11-14/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>61<br />
| |
| </td>
| |
| <td>0-10-22-43<br />
| |
| </td>
| |
| <td>1-14/9-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>62<br />
| |
| </td>
| |
| <td>0-16-22-43<br />
| |
| </td>
| |
| <td>1-7/6-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>63<br />
| |
| </td>
| |
| <td>0-17-22-43<br />
| |
| </td>
| |
| <td>1-7/5-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>64<br />
| |
| </td>
| |
| <td>0-21-22-43<br />
| |
| </td>
| |
| <td>1-16/11-7/4-14/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>65<br />
| |
| </td>
| |
| <td>0-10-26-43<br />
| |
| </td>
| |
| <td>1-14/9-20/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>66<br />
| |
| </td>
| |
| <td>0-16-26-43<br />
| |
| </td>
| |
| <td>1-7/6-20/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>67<br />
| |
| </td>
| |
| <td>0-21-26-43<br />
| |
| </td>
| |
| <td>1-16/11-20/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>68<br />
| |
| </td>
| |
| <td>0-10-27-43<br />
| |
| </td>
| |
| <td>1-14/9-12/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>69<br />
| |
| </td>
| |
| <td>0-17-27-43<br />
| |
| </td>
| |
| <td>1-7/5-12/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>70<br />
| |
| </td>
| |
| <td>0-21-27-43<br />
| |
| </td>
| |
| <td>1-16/11-12/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>71<br />
| |
| </td>
| |
| <td>0-22-27-43<br />
| |
| </td>
| |
| <td>1-7/4-12/11-14/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>72<br />
| |
| </td>
| |
| <td>0-26-27-43<br />
| |
| </td>
| |
| <td>1-20/11-12/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>73<br />
| |
| </td>
| |
| <td>0-16-33-43<br />
| |
| </td>
| |
| <td>1-7/6-18/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>74<br />
| |
| </td>
| |
| <td>0-17-33-43<br />
| |
| </td>
| |
| <td>1-7/5-18/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>75<br />
| |
| </td>
| |
| <td>0-21-33-43<br />
| |
| </td>
| |
| <td>1-16/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>76<br />
| |
| </td>
| |
| <td>0-26-33-43<br />
| |
| </td>
| |
| <td>1-20/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>77<br />
| |
| </td>
| |
| <td>0-27-33-43<br />
| |
| </td>
| |
| <td>1-12/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Pentads"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pentads</h1>
| |
|
| |
|
| |
| <table class="wiki_table">
| |
| <tr>
| |
| <td>Number<br />
| |
| </td>
| |
| <td>Chord<br />
| |
| </td>
| |
| <td>Transversal<br />
| |
| </td>
| |
| <td>Type<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1<br />
| |
| </td>
| |
| <td>0-5-6-12-22<br />
| |
| </td>
| |
| <td>1-5/4-3/2-9/8-7/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2<br />
| |
| </td>
| |
| <td>0-5-10-17-22<br />
| |
| </td>
| |
| <td>1-5/4-14/9-7/5-7/4<br />
| |
| </td>
| |
| <td>marvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3<br />
| |
| </td>
| |
| <td>0-5-12-17-22<br />
| |
| </td>
| |
| <td>1-5/4-9/8-7/5-7/4<br />
| |
| </td>
| |
| <td>marvel<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4<br />
| |
| </td>
| |
| <td>0-10-16-17-22<br />
| |
| </td>
| |
| <td>1-14/9-7/6-7/5-7/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5<br />
| |
| </td>
| |
| <td>0-5-10-17-27<br />
| |
| </td>
| |
| <td>1-5/4-14/9-7/5-12/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6<br />
| |
| </td>
| |
| <td>0-1-6-22-27<br />
| |
| </td>
| |
| <td>1-6/5-3/2-7/4-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7<br />
| |
| </td>
| |
| <td>0-5-6-22-27<br />
| |
| </td>
| |
| <td>1-5/4-3/2-7/4-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8<br />
| |
| </td>
| |
| <td>0-5-10-22-27<br />
| |
| </td>
| |
| <td>1-5/4-14/9-7/4-12/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9<br />
| |
| </td>
| |
| <td>0-1-17-22-27<br />
| |
| </td>
| |
| <td>1-6/5-7/5-7/4-12/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10<br />
| |
| </td>
| |
| <td>0-5-17-22-27<br />
| |
| </td>
| |
| <td>1-5/4-7/5-7/4-12/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11<br />
| |
| </td>
| |
| <td>0-10-17-22-27<br />
| |
| </td>
| |
| <td>1-14/9-7/5-7/4-12/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12<br />
| |
| </td>
| |
| <td>0-5-21-22-27<br />
| |
| </td>
| |
| <td>1-5/4-16/11-7/4-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13<br />
| |
| </td>
| |
| <td>0-5-10-26-27<br />
| |
| </td>
| |
| <td>1-5/4-14/9-20/11-12/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14<br />
| |
| </td>
| |
| <td>0-5-21-26-27<br />
| |
| </td>
| |
| <td>1-5/4-16/11-20/11-12/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15<br />
| |
| </td>
| |
| <td>0-6-7-12-33<br />
| |
| </td>
| |
| <td>1-3/2-9/5-9/8-18/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16<br />
| |
| </td>
| |
| <td>0-7-12-17-33<br />
| |
| </td>
| |
| <td>1-9/5-9/8-7/5-18/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>17<br />
| |
| </td>
| |
| <td>0-16-21-26-33<br />
| |
| </td>
| |
| <td>1-7/6-16/11-20/11-18/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18<br />
| |
| </td>
| |
| <td>0-21-26-27-33<br />
| |
| </td>
| |
| <td>1-16/11-20/11-12/11-18/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19<br />
| |
| </td>
| |
| <td>0-10-16-17-43<br />
| |
| </td>
| |
| <td>1-14/9-7/6-7/5-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20<br />
| |
| </td>
| |
| <td>0-10-16-22-43<br />
| |
| </td>
| |
| <td>1-14/9-7/6-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>21<br />
| |
| </td>
| |
| <td>0-10-17-22-43<br />
| |
| </td>
| |
| <td>1-14/9-7/5-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>22<br />
| |
| </td>
| |
| <td>0-16-17-22-43<br />
| |
| </td>
| |
| <td>1-7/6-7/5-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>23<br />
| |
| </td>
| |
| <td>0-16-21-22-43<br />
| |
| </td>
| |
| <td>1-7/6-16/11-7/4-14/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>24<br />
| |
| </td>
| |
| <td>0-10-16-26-43<br />
| |
| </td>
| |
| <td>1-14/9-7/6-20/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>25<br />
| |
| </td>
| |
| <td>0-16-21-26-43<br />
| |
| </td>
| |
| <td>1-7/6-16/11-20/11-14/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>26<br />
| |
| </td>
| |
| <td>0-10-17-27-43<br />
| |
| </td>
| |
| <td>1-14/9-7/5-12/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27<br />
| |
| </td>
| |
| <td>0-10-22-27-43<br />
| |
| </td>
| |
| <td>1-14/9-7/4-12/11-14/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>28<br />
| |
| </td>
| |
| <td>0-17-22-27-43<br />
| |
| </td>
| |
| <td>1-7/5-7/4-12/11-14/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>29<br />
| |
| </td>
| |
| <td>0-21-22-27-43<br />
| |
| </td>
| |
| <td>1-16/11-7/4-12/11-14/11<br />
| |
| </td>
| |
| <td>keenanismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>30<br />
| |
| </td>
| |
| <td>0-10-26-27-43<br />
| |
| </td>
| |
| <td>1-14/9-20/11-12/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>31<br />
| |
| </td>
| |
| <td>0-21-26-27-43<br />
| |
| </td>
| |
| <td>1-16/11-20/11-12/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32<br />
| |
| </td>
| |
| <td>0-16-17-33-43<br />
| |
| </td>
| |
| <td>1-7/6-7/5-18/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33<br />
| |
| </td>
| |
| <td>0-16-21-33-43<br />
| |
| </td>
| |
| <td>1-7/6-16/11-18/11-14/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>34<br />
| |
| </td>
| |
| <td>0-16-26-33-43<br />
| |
| </td>
| |
| <td>1-7/6-20/11-18/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>35<br />
| |
| </td>
| |
| <td>0-21-26-33-43<br />
| |
| </td>
| |
| <td>1-16/11-20/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>36<br />
| |
| </td>
| |
| <td>0-17-27-33-43<br />
| |
| </td>
| |
| <td>1-7/5-12/11-18/11-14/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>37<br />
| |
| </td>
| |
| <td>0-21-27-33-43<br />
| |
| </td>
| |
| <td>1-16/11-12/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>38<br />
| |
| </td>
| |
| <td>0-26-27-33-43<br />
| |
| </td>
| |
| <td>1-20/11-12/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Hexads"></a><!-- ws:end:WikiTextHeadingRule:6 -->Hexads</h1>
| |
|
| |
|
| |
| <table class="wiki_table">
| |
| <tr>
| |
| <td>Number<br />
| |
| </td>
| |
| <td>Chord<br />
| |
| </td>
| |
| <td>Transversal<br />
| |
| </td>
| |
| <td>Type<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1<br />
| |
| </td>
| |
| <td>0-5-10-17-22-27<br />
| |
| </td>
| |
| <td>1-5/4-14/9-7/5-7/4-12/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2<br />
| |
| </td>
| |
| <td>0-10-16-17-22-43<br />
| |
| </td>
| |
| <td>1-14/9-7/6-7/5-7/4-14/11<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3<br />
| |
| </td>
| |
| <td>0-10-17-22-27-43<br />
| |
| </td>
| |
| <td>1-14/9-7/5-7/4-12/11-14/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4<br />
| |
| </td>
| |
| <td>0-16-21-26-33-43<br />
| |
| </td>
| |
| <td>1-7/6-16/11-20/11-18/11-14/11<br />
| |
| </td>
| |
| <td>unimarv<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5<br />
| |
| </td>
| |
| <td>0-21-26-27-33-43<br />
| |
| </td>
| |
| <td>1-16/11-20/11-12/11-18/11-14/11<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | {| class="wikitable" |
| | |- |
| | | | Number |
| | | | Chord |
| | | | Transversal |
| | | | Type |
| | |- |
| | | | 1 |
| | | | 0-5-10-17-22-27 |
| | | | 1-5/4-14/9-7/5-7/4-12/11 |
| | | | unimarv |
| | |- |
| | | | 2 |
| | | | 0-10-16-17-22-43 |
| | | | 1-14/9-7/6-7/5-7/4-14/11 |
| | | | utonal |
| | |- |
| | | | 3 |
| | | | 0-10-17-22-27-43 |
| | | | 1-14/9-7/5-7/4-12/11-14/11 |
| | | | unimarv |
| | |- |
| | | | 4 |
| | | | 0-16-21-26-33-43 |
| | | | 1-7/6-16/11-20/11-18/11-14/11 |
| | | | unimarv |
| | |- |
| | | | 5 |
| | | | 0-21-26-27-33-43 |
| | | | 1-16/11-20/11-12/11-18/11-14/11 |
| | | | otonal |
| | |} |