Wizard/Chords

Revision as of 18:15, 24 December 2011 by Wikispaces>genewardsmith (**Imported revision 288415602 - Original comment: **)
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Original Wikitext content:

Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Marvel temperaments#Wizard|wizard temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are swetismic, by 385/384 keenanismic, and by 225/224 marvel. Those requiring tempering by any two of 540/539, 385/384 or 225/224 are labeled unimarvel.

The normal mapping for wizard is wiz = [<2 1 5 2 8|, <0 6 -1 10 -3|]. From this we may derive a val v = wiz[1] + 100 wiz[2] = <2 601 -95 1002 -292|. Since v is approximately 100 times the generator chain val, <0 6 -1 10 -3|, it will sort elements of the 11-limit tonality diamond in the same order, but it uniquely encodes each interval. Since it is a val of wizard, we may take a chord, find the smallest element under the mapping, and use it to translate the whole chord starting at zero. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the Graham complexity of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.

Wizard has MOS of size 6, 10, 16, 22, 28, 50 and 72. It may be seen that even ten notes supplies enough chords to be interesting, and that by the time we reach 22 we might feel we are pretty well supplied.

=Triads=
|| Number || Chord || Transversal || Type || Complexity ||
|| 1 || 0-101-200 || 1-8/5-9/7 || marvel || 4 ||
|| 2 || 0-101-300 || 1-8/5-16/11 || utonal || 6 ||
|| 3 || 0-201-300 || 1-20/11-16/11 || otonal || 6 ||
|| 4 || 0-101-399 || 1-8/5-7/6 || keenanismic || 8 ||
|| 5 || 0-200-399 || 1-9/7-7/6 || swetismic || 8 ||
|| 6 || 0-201-399 || 1-20/11-7/6 || swetismic || 8 ||
|| 7 || 0-300-399 || 1-16/11-7/6 || keenanismic || 8 ||
|| 8 || 0-200-599 || 1-9/7-3/2 || utonal || 12 ||
|| 9 || 0-399-599 || 1-7/6-3/2 || otonal || 12 ||
|| 10 || 0-101-698 || 1-8/5-6/5 || otonal || 14 ||
|| 11 || 0-599-698 || 1-3/2-6/5 || utonal || 14 ||
|| 12 || 0-201-897 || 1-20/11-12/11 || otonal || 18 ||
|| 13 || 0-300-897 || 1-16/11-12/11 || otonal || 18 ||
|| 14 || 0-599-897 || 1-3/2-12/11 || utonal || 18 ||
|| 15 || 0-698-897 || 1-6/5-12/11 || utonal || 18 ||
|| 16 || 0-101-998 || 1-8/5-7/4 || keenanismic || 20  ||
|| 17 || 0-300-998 || 1-16/11-7/4 || keenanismic || 20 ||
|| 18 || 0-399-998 || 1-7/6-7/4 || utonal || 20 ||
|| 19 || 0-599-998 || 1-3/2-7/4 || otonal || 20 ||
|| 20 || 0-698-998 || 1-6/5-7/4 || keenanismic || 20 ||
|| 21 || 0-897-998 || 1-12/11-7/4 || keenanismic || 20 ||
|| 22 || 0-101-1097 || 1-8/5-7/5 || otonal || 22 ||
|| 23 || 0-200-1097 || 1-9/7-7/5 || swetismic || 22 ||
|| 24 || 0-399-1097 || 1-7/6-7/5 || utonal || 22 ||
|| 25 || 0-698-1097 || 1-6/5-7/5 || otonal || 22 ||
|| 26 || 0-897-1097 || 1-12/11-7/5 || swetismic || 22 ||
|| 27 || 0-998-1097 || 1-7/4-7/5 || utonal || 22 ||
|| 28 || 0-101-1196 || 1-8/5-9/8 || marvel || 24 ||
|| 29 || 0-200-1196 || 1-9/7-9/8 || utonal || 24 ||
|| 30 || 0-599-1196 || 1-3/2-9/8 || ambitonal || 24 ||
|| 31 || 0-998-1196 || 1-7/4-9/8 || otonal || 24 ||
|| 32 || 0-1097-1196 || 1-7/5-9/8 || marvel || 24 ||
|| 33 || 0-201-1296 || 1-20/11-14/11 || otonal || 26 ||
|| 34 || 0-300-1296 || 1-16/11-14/11 || otonal || 26 ||
|| 35 || 0-399-1296 || 1-7/6-14/11 || utonal || 26 ||
|| 36 || 0-897-1296 || 1-12/11-14/11 || otonal || 26 ||
|| 37 || 0-998-1296 || 1-7/4-14/11 || utonal || 26 ||
|| 38 || 0-1097-1296 || 1-7/5-14/11 || utonal || 26 ||
|| 39 || 0-101-1297 || 1-8/5-9/5 || otonal || 26 ||
|| 40 || 0-200-1297 || 1-9/7-9/5 || utonal || 26 ||
|| 41 || 0-599-1297 || 1-3/2-9/5 || utonal || 26 ||
|| 42 || 0-698-1297 || 1-6/5-9/5 || otonal || 26 ||
|| 43 || 0-1097-1297 || 1-7/5-9/5 || otonal || 26 ||
|| 44 || 0-1196-1297 || 1-9/8-9/5 || utonal || 26 ||
|| 45 || 0-200-1496 || 1-9/7-18/11 || utonal || 30 ||
|| 46 || 0-201-1496 || 1-20/11-18/11 || otonal || 30 ||
|| 47 || 0-300-1496 || 1-16/11-18/11 || otonal || 30 ||
|| 48 || 0-399-1496 || 1-7/6-18/11 || swetismic || 30 ||
|| 49 || 0-599-1496 || 1-3/2-18/11 || utonal || 30 ||
|| 50 || 0-897-1496 || 1-12/11-18/11 || otonal || 30 ||
|| 51 || 0-1097-1496 || 1-7/5-18/11 || swetismic || 30 ||
|| 52 || 0-1196-1496 || 1-9/8-18/11 || utonal || 30 ||
|| 53 || 0-1296-1496 || 1-14/11-18/11 || otonal || 30 ||
|| 54 || 0-1297-1496 || 1-9/5-18/11 || utonal || 30 ||

=Tetrads=
|| Number || Chord || Transversal || Type || Complexity ||
|| 1 || 0-101-200-399 || 1-8/5-9/7-7/6 || unimarvel || 8 ||
|| 2 || 0-101-300-399 || 1-8/5-16/11-7/6 || keenanismic || 8 ||
|| 3 || 0-201-300-399 || 1-20/11-16/11-7/6 || unimarvel || 8 ||
|| 4 || 0-200-399-599 || 1-9/7-7/6-3/2 || swetismic || 12 ||
|| 5 || 0-201-300-897 || 1-20/11-16/11-12/11 || otonal || 18 ||
|| 6 || 0-599-698-897 || 1-3/2-6/5-12/11 || utonal || 18 ||
|| 7 || 0-101-300-998 || 1-8/5-16/11-7/4 || keenanismic || 20 ||
|| 8 || 0-101-399-998 || 1-8/5-7/6-7/4 || keenanismic || 20 ||
|| 9 || 0-300-399-998 || 1-16/11-7/6-7/4 || keenanismic || 20 ||
|| 10 || 0-399-599-998 || 1-7/6-3/2-7/4 || ambitonal || 20 ||
|| 11 || 0-101-698-998 || 1-8/5-6/5-7/4 || keenanismic || 20 ||
|| 12 || 0-599-698-998 || 1-3/2-6/5-7/4 || keenanismic || 20 ||
|| 13 || 0-300-897-998 || 1-16/11-12/11-7/4 || keenanismic || 20 ||
|| 14 || 0-599-897-998 || 1-3/2-12/11-7/4 || keenanismic || 20 ||
|| 15 || 0-698-897-998 || 1-6/5-12/11-7/4 || keenanismic || 20 ||
|| 16 || 0-101-200-1097 || 1-8/5-9/7-7/5 || unimarvel || 22 ||
|| 17 || 0-101-399-1097 || 1-8/5-7/6-7/5 || keenanismic || 22 ||
|| 18 || 0-200-399-1097 || 1-9/7-7/6-7/5 || swetismic || 22 ||
|| 19 || 0-101-698-1097 || 1-8/5-6/5-7/5 || otonal || 22 ||
|| 20 || 0-698-897-1097 || 1-6/5-12/11-7/5 || swetismic || 22 ||
|| 21 || 0-101-998-1097 || 1-8/5-7/4-7/5 || keenanismic || 22 ||
|| 22 || 0-399-998-1097 || 1-7/6-7/4-7/5 || utonal || 22 ||
|| 23 || 0-698-998-1097 || 1-6/5-7/4-7/5 || keenanismic || 22 ||
|| 24 || 0-897-998-1097 || 1-12/11-7/4-7/5 || unimarvel || 22 ||
|| 25 || 0-101-200-1196 || 1-8/5-9/7-9/8 || marvel || 24 ||
|| 26 || 0-200-599-1196 || 1-9/7-3/2-9/8 || utonal || 24 ||
|| 27 || 0-101-998-1196 || 1-8/5-7/4-9/8 || unimarvel || 24 ||
|| 28 || 0-599-998-1196 || 1-3/2-7/4-9/8 || otonal || 24 ||
|| 29 || 0-101-1097-1196 || 1-8/5-7/5-9/8 || marvel || 24 ||
|| 30 || 0-200-1097-1196 || 1-9/7-7/5-9/8 || unimarvel || 24 ||
|| 31 || 0-998-1097-1196 || 1-7/4-7/5-9/8 || marvel || 24 ||
|| 32 || 0-201-300-1296 || 1-20/11-16/11-14/11 || otonal || 26 ||
|| 33 || 0-201-399-1296 || 1-20/11-7/6-14/11 || swetismic || 26 ||
|| 34 || 0-300-399-1296 || 1-16/11-7/6-14/11 || keenanismic || 26 ||
|| 35 || 0-201-897-1296 || 1-20/11-12/11-14/11 || otonal || 26 ||
|| 36 || 0-300-897-1296 || 1-16/11-12/11-14/11 || otonal || 26 ||
|| 37 || 0-300-998-1296 || 1-16/11-7/4-14/11 || keenanismic || 26 ||
|| 38 || 0-399-998-1296 || 1-7/6-7/4-14/11 || utonal || 26 ||
|| 39 || 0-897-998-1296 || 1-12/11-7/4-14/11 || keenanismic || 26 ||
|| 40 || 0-399-1097-1296 || 1-7/6-7/5-14/11 || utonal || 26 ||
|| 41 || 0-897-1097-1296 || 1-12/11-7/5-14/11 || swetismic || 26 ||
|| 42 || 0-998-1097-1296 || 1-7/4-7/5-14/11 || utonal || 26 ||
|| 43 || 0-101-200-1297 || 1-8/5-9/7-9/5 || marvel || 26 ||
|| 44 || 0-200-599-1297 || 1-9/7-3/2-9/5 || utonal || 26 ||
|| 45 || 0-101-698-1297 || 1-8/5-6/5-9/5 || otonal || 26 ||
|| 46 || 0-599-698-1297 || 1-3/2-6/5-9/5 || ambitonal || 26 ||
|| 47 || 0-101-1097-1297 || 1-8/5-7/5-9/5 || otonal || 26 ||
|| 48 || 0-200-1097-1297 || 1-9/7-7/5-9/5 || swetismic || 26 ||
|| 49 || 0-698-1097-1297 || 1-6/5-7/5-9/5 || otonal || 26 ||
|| 50 || 0-101-1196-1297 || 1-8/5-9/8-9/5 || marvel || 26 ||
|| 51 || 0-200-1196-1297 || 1-9/7-9/8-9/5 || utonal || 26 ||
|| 52 || 0-599-1196-1297 || 1-3/2-9/8-9/5 || utonal || 26 ||
|| 53 || 0-1097-1196-1297 || 1-7/5-9/8-9/5 || marvel || 26 ||
|| 54 || 0-201-300-1496 || 1-20/11-16/11-18/11 || otonal || 30 ||
|| 55 || 0-200-399-1496 || 1-9/7-7/6-18/11 || swetismic || 30 ||
|| 56 || 0-201-399-1496 || 1-20/11-7/6-18/11 || swetismic || 30 ||
|| 57 || 0-300-399-1496 || 1-16/11-7/6-18/11 || unimarvel || 30 ||
|| 58 || 0-200-599-1496 || 1-9/7-3/2-18/11 || utonal || 30 ||
|| 59 || 0-399-599-1496 || 1-7/6-3/2-18/11 || swetismic || 30 ||
|| 60 || 0-201-897-1496 || 1-20/11-12/11-18/11 || otonal || 30 ||
|| 61 || 0-300-897-1496 || 1-16/11-12/11-18/11 || otonal || 30 ||
|| 62 || 0-599-897-1496 || 1-3/2-12/11-18/11 || ambitonal || 30 ||
|| 63 || 0-200-1097-1496 || 1-9/7-7/5-18/11 || swetismic || 30 ||
|| 64 || 0-399-1097-1496 || 1-7/6-7/5-18/11 || swetismic || 30 ||
|| 65 || 0-897-1097-1496 || 1-12/11-7/5-18/11 || swetismic || 30 ||
|| 66 || 0-200-1196-1496 || 1-9/7-9/8-18/11 || utonal || 30 ||
|| 67 || 0-599-1196-1496 || 1-3/2-9/8-18/11 || utonal || 30 ||
|| 68 || 0-1097-1196-1496 || 1-7/5-9/8-18/11 || unimarvel || 30 ||
|| 69 || 0-201-1296-1496 || 1-20/11-14/11-18/11 || otonal || 30 ||
|| 70 || 0-300-1296-1496 || 1-16/11-14/11-18/11 || otonal || 30 ||
|| 71 || 0-399-1296-1496 || 1-7/6-14/11-18/11 || swetismic || 30 ||
|| 72 || 0-897-1296-1496 || 1-12/11-14/11-18/11 || otonal || 30 ||
|| 73 || 0-1097-1296-1496 || 1-7/5-14/11-18/11 || swetismic || 30 ||
|| 74 || 0-200-1297-1496 || 1-9/7-9/5-18/11 || utonal || 30 ||
|| 75 || 0-599-1297-1496 || 1-3/2-9/5-18/11 || utonal || 30 ||
|| 76 || 0-1097-1297-1496 || 1-7/5-9/5-18/11 || swetismic || 30 ||
|| 77 || 0-1196-1297-1496 || 1-9/8-9/5-18/11 || utonal || 30 ||

=Pentads=
|| Number || Chord || Transversal || Type || Complexity ||
|| 1 || 0-101-300-399-998 || 1-8/5-16/11-7/6-7/4 || keenanismic || 20 ||
|| 2 || 0-599-698-897-998 || 1-3/2-6/5-12/11-7/4 || keenanismic || 20 ||
|| 3 || 0-101-200-399-1097 || 1-8/5-9/7-7/6-7/5 || unimarvel || 22 ||
|| 4 || 0-101-399-998-1097 || 1-8/5-7/6-7/4-7/5 || keenanismic || 22 ||
|| 5 || 0-101-698-998-1097 || 1-8/5-6/5-7/4-7/5 || keenanismic || 22 ||
|| 6 || 0-698-897-998-1097 || 1-6/5-12/11-7/4-7/5 || unimarvel || 22 ||
|| 7 || 0-101-200-1097-1196 || 1-8/5-9/7-7/5-9/8 || unimarvel || 24 ||
|| 8 || 0-101-998-1097-1196 || 1-8/5-7/4-7/5-9/8 || unimarvel || 24 ||
|| 9 || 0-201-300-399-1296 || 1-20/11-16/11-7/6-14/11 || unimarvel || 26 ||
|| 10 || 0-201-300-897-1296 || 1-20/11-16/11-12/11-14/11 || otonal || 26 ||
|| 11 || 0-300-399-998-1296 || 1-16/11-7/6-7/4-14/11 || keenanismic || 26 ||
|| 12 || 0-300-897-998-1296 || 1-16/11-12/11-7/4-14/11 || keenanismic || 26 ||
|| 13 || 0-399-998-1097-1296 || 1-7/6-7/4-7/5-14/11 || utonal || 26 ||
|| 14 || 0-897-998-1097-1296 || 1-12/11-7/4-7/5-14/11 || unimarvel || 26 ||
|| 15 || 0-101-200-1097-1297 || 1-8/5-9/7-7/5-9/5 || unimarvel || 26 ||
|| 16 || 0-101-698-1097-1297 || 1-8/5-6/5-7/5-9/5 || otonal || 26 ||
|| 17 || 0-101-200-1196-1297 || 1-8/5-9/7-9/8-9/5 || marvel || 26 ||
|| 18 || 0-200-599-1196-1297 || 1-9/7-3/2-9/8-9/5 || utonal || 26 ||
|| 19 || 0-101-1097-1196-1297 || 1-8/5-7/5-9/8-9/5 || marvel || 26 ||
|| 20 || 0-200-1097-1196-1297 || 1-9/7-7/5-9/8-9/5 || unimarvel || 26 ||
|| 21 || 0-201-300-399-1496 || 1-20/11-16/11-7/6-18/11 || unimarvel || 30 ||
|| 22 || 0-200-399-599-1496 || 1-9/7-7/6-3/2-18/11 || swetismic || 30 ||
|| 23 || 0-201-300-897-1496 || 1-20/11-16/11-12/11-18/11 || otonal || 30 ||
|| 24 || 0-200-399-1097-1496 || 1-9/7-7/6-7/5-18/11 || swetismic || 30 ||
|| 25 || 0-200-599-1196-1496 || 1-9/7-3/2-9/8-18/11 || utonal || 30 ||
|| 26 || 0-200-1097-1196-1496 || 1-9/7-7/5-9/8-18/11 || unimarvel || 30 ||
|| 27 || 0-201-300-1296-1496 || 1-20/11-16/11-14/11-18/11 || otonal || 30 ||
|| 28 || 0-201-399-1296-1496 || 1-20/11-7/6-14/11-18/11 || swetismic || 30 ||
|| 29 || 0-300-399-1296-1496 || 1-16/11-7/6-14/11-18/11 || unimarvel || 30 ||
|| 30 || 0-201-897-1296-1496 || 1-20/11-12/11-14/11-18/11 || otonal || 30 ||
|| 31 || 0-300-897-1296-1496 || 1-16/11-12/11-14/11-18/11 || otonal || 30 ||
|| 32 || 0-399-1097-1296-1496 || 1-7/6-7/5-14/11-18/11 || swetismic || 30 ||
|| 33 || 0-897-1097-1296-1496 || 1-12/11-7/5-14/11-18/11 || swetismic || 30 ||
|| 34 || 0-200-599-1297-1496 || 1-9/7-3/2-9/5-18/11 || utonal || 30 ||
|| 35 || 0-200-1097-1297-1496 || 1-9/7-7/5-9/5-18/11 || swetismic || 30 ||
|| 36 || 0-200-1196-1297-1496 || 1-9/7-9/8-9/5-18/11 || utonal || 30 ||
|| 37 || 0-599-1196-1297-1496 || 1-3/2-9/8-9/5-18/11 || utonal || 30 ||
|| 38 || 0-1097-1196-1297-1496 || 1-7/5-9/8-9/5-18/11 || unimarvel || 30 ||

=Hexads=
|| Number || Chord || Transversal || Type || Complexity ||
|| 1 || 0-101-200-1097-1196-1297 || 1-8/5-9/7-7/5-9/8-9/5 || unimarvel || 26 ||
|| 2 || 0-201-300-399-1296-1496 || 1-20/11-16/11-7/6-14/11 18/11 || unimarvel || 30 ||
|| 3 || 0-201-300-897-1296-1496 || 1-20/11-16/11-12/11-14/11-18/11 || otonal || 30 ||
|| 4 || 0-200-599-1196-1297-1496 || 1-9/7-3/2-9/8-9/5-18/11 || utonal || 30 ||
|| 5 || 0-200-1097-1196-1297-1496 || 1-9/7-7/5-9/8-9/5-18/11 || unimarvel || 30 ||

Original HTML content:

<html><head><title>Chords of wizard</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="/Marvel%20temperaments#Wizard">wizard temperament</a>. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are swetismic, by 385/384 keenanismic, and by 225/224 marvel. Those requiring tempering by any two of 540/539, 385/384 or 225/224 are labeled unimarvel.<br />
<br />
The normal mapping for wizard is wiz = [&lt;2 1 5 2 8|, &lt;0 6 -1 10 -3|]. From this we may derive a val v = wiz[1] + 100 wiz[2] = &lt;2 601 -95 1002 -292|. Since v is approximately 100 times the generator chain val, &lt;0 6 -1 10 -3|, it will sort elements of the 11-limit tonality diamond in the same order, but it uniquely encodes each interval. Since it is a val of wizard, we may take a chord, find the smallest element under the mapping, and use it to translate the whole chord starting at zero. Under &quot;Chord&quot; is listed the chord, normalized to start from zero, in the mapping by v. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the Graham complexity of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.<br />
<br />
Wizard has MOS of size 6, 10, 16, 22, 28, 50 and 72. It may be seen that even ten notes supplies enough chords to be interesting, and that by the time we reach 22 we might feel we are pretty well supplied.<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">
    <tr>
        <td>Number<br />
</td>
        <td>Chord<br />
</td>
        <td>Transversal<br />
</td>
        <td>Type<br />
</td>
        <td>Complexity<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>0-101-200<br />
</td>
        <td>1-8/5-9/7<br />
</td>
        <td>marvel<br />
</td>
        <td>4<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-101-300<br />
</td>
        <td>1-8/5-16/11<br />
</td>
        <td>utonal<br />
</td>
        <td>6<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-201-300<br />
</td>
        <td>1-20/11-16/11<br />
</td>
        <td>otonal<br />
</td>
        <td>6<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-101-399<br />
</td>
        <td>1-8/5-7/6<br />
</td>
        <td>keenanismic<br />
</td>
        <td>8<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-200-399<br />
</td>
        <td>1-9/7-7/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>8<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-201-399<br />
</td>
        <td>1-20/11-7/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>8<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-300-399<br />
</td>
        <td>1-16/11-7/6<br />
</td>
        <td>keenanismic<br />
</td>
        <td>8<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-200-599<br />
</td>
        <td>1-9/7-3/2<br />
</td>
        <td>utonal<br />
</td>
        <td>12<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-399-599<br />
</td>
        <td>1-7/6-3/2<br />
</td>
        <td>otonal<br />
</td>
        <td>12<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>0-101-698<br />
</td>
        <td>1-8/5-6/5<br />
</td>
        <td>otonal<br />
</td>
        <td>14<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>0-599-698<br />
</td>
        <td>1-3/2-6/5<br />
</td>
        <td>utonal<br />
</td>
        <td>14<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>0-201-897<br />
</td>
        <td>1-20/11-12/11<br />
</td>
        <td>otonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>0-300-897<br />
</td>
        <td>1-16/11-12/11<br />
</td>
        <td>otonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>0-599-897<br />
</td>
        <td>1-3/2-12/11<br />
</td>
        <td>utonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>0-698-897<br />
</td>
        <td>1-6/5-12/11<br />
</td>
        <td>utonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>0-101-998<br />
</td>
        <td>1-8/5-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>0-300-998<br />
</td>
        <td>1-16/11-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>0-399-998<br />
</td>
        <td>1-7/6-7/4<br />
</td>
        <td>utonal<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>0-599-998<br />
</td>
        <td>1-3/2-7/4<br />
</td>
        <td>otonal<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>0-698-998<br />
</td>
        <td>1-6/5-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>0-897-998<br />
</td>
        <td>1-12/11-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>0-101-1097<br />
</td>
        <td>1-8/5-7/5<br />
</td>
        <td>otonal<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>0-200-1097<br />
</td>
        <td>1-9/7-7/5<br />
</td>
        <td>swetismic<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>0-399-1097<br />
</td>
        <td>1-7/6-7/5<br />
</td>
        <td>utonal<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>0-698-1097<br />
</td>
        <td>1-6/5-7/5<br />
</td>
        <td>otonal<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>0-897-1097<br />
</td>
        <td>1-12/11-7/5<br />
</td>
        <td>swetismic<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>0-998-1097<br />
</td>
        <td>1-7/4-7/5<br />
</td>
        <td>utonal<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>0-101-1196<br />
</td>
        <td>1-8/5-9/8<br />
</td>
        <td>marvel<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>0-200-1196<br />
</td>
        <td>1-9/7-9/8<br />
</td>
        <td>utonal<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>0-599-1196<br />
</td>
        <td>1-3/2-9/8<br />
</td>
        <td>ambitonal<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>0-998-1196<br />
</td>
        <td>1-7/4-9/8<br />
</td>
        <td>otonal<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>0-1097-1196<br />
</td>
        <td>1-7/5-9/8<br />
</td>
        <td>marvel<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>0-201-1296<br />
</td>
        <td>1-20/11-14/11<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>0-300-1296<br />
</td>
        <td>1-16/11-14/11<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>0-399-1296<br />
</td>
        <td>1-7/6-14/11<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>0-897-1296<br />
</td>
        <td>1-12/11-14/11<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td>0-998-1296<br />
</td>
        <td>1-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>38<br />
</td>
        <td>0-1097-1296<br />
</td>
        <td>1-7/5-14/11<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>39<br />
</td>
        <td>0-101-1297<br />
</td>
        <td>1-8/5-9/5<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>40<br />
</td>
        <td>0-200-1297<br />
</td>
        <td>1-9/7-9/5<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>41<br />
</td>
        <td>0-599-1297<br />
</td>
        <td>1-3/2-9/5<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>42<br />
</td>
        <td>0-698-1297<br />
</td>
        <td>1-6/5-9/5<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>43<br />
</td>
        <td>0-1097-1297<br />
</td>
        <td>1-7/5-9/5<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>44<br />
</td>
        <td>0-1196-1297<br />
</td>
        <td>1-9/8-9/5<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>45<br />
</td>
        <td>0-200-1496<br />
</td>
        <td>1-9/7-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>46<br />
</td>
        <td>0-201-1496<br />
</td>
        <td>1-20/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>47<br />
</td>
        <td>0-300-1496<br />
</td>
        <td>1-16/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>48<br />
</td>
        <td>0-399-1496<br />
</td>
        <td>1-7/6-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>49<br />
</td>
        <td>0-599-1496<br />
</td>
        <td>1-3/2-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>50<br />
</td>
        <td>0-897-1496<br />
</td>
        <td>1-12/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>51<br />
</td>
        <td>0-1097-1496<br />
</td>
        <td>1-7/5-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>52<br />
</td>
        <td>0-1196-1496<br />
</td>
        <td>1-9/8-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>53<br />
</td>
        <td>0-1296-1496<br />
</td>
        <td>1-14/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>54<br />
</td>
        <td>0-1297-1496<br />
</td>
        <td>1-9/5-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Tetrads"></a><!-- ws:end:WikiTextHeadingRule:2 -->Tetrads</h1>


<table class="wiki_table">
    <tr>
        <td>Number<br />
</td>
        <td>Chord<br />
</td>
        <td>Transversal<br />
</td>
        <td>Type<br />
</td>
        <td>Complexity<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>0-101-200-399<br />
</td>
        <td>1-8/5-9/7-7/6<br />
</td>
        <td>unimarvel<br />
</td>
        <td>8<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-101-300-399<br />
</td>
        <td>1-8/5-16/11-7/6<br />
</td>
        <td>keenanismic<br />
</td>
        <td>8<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-201-300-399<br />
</td>
        <td>1-20/11-16/11-7/6<br />
</td>
        <td>unimarvel<br />
</td>
        <td>8<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-200-399-599<br />
</td>
        <td>1-9/7-7/6-3/2<br />
</td>
        <td>swetismic<br />
</td>
        <td>12<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-201-300-897<br />
</td>
        <td>1-20/11-16/11-12/11<br />
</td>
        <td>otonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-599-698-897<br />
</td>
        <td>1-3/2-6/5-12/11<br />
</td>
        <td>utonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-101-300-998<br />
</td>
        <td>1-8/5-16/11-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-101-399-998<br />
</td>
        <td>1-8/5-7/6-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-300-399-998<br />
</td>
        <td>1-16/11-7/6-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>0-399-599-998<br />
</td>
        <td>1-7/6-3/2-7/4<br />
</td>
        <td>ambitonal<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>0-101-698-998<br />
</td>
        <td>1-8/5-6/5-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>0-599-698-998<br />
</td>
        <td>1-3/2-6/5-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>0-300-897-998<br />
</td>
        <td>1-16/11-12/11-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>0-599-897-998<br />
</td>
        <td>1-3/2-12/11-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>0-698-897-998<br />
</td>
        <td>1-6/5-12/11-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>0-101-200-1097<br />
</td>
        <td>1-8/5-9/7-7/5<br />
</td>
        <td>unimarvel<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>0-101-399-1097<br />
</td>
        <td>1-8/5-7/6-7/5<br />
</td>
        <td>keenanismic<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>0-200-399-1097<br />
</td>
        <td>1-9/7-7/6-7/5<br />
</td>
        <td>swetismic<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>0-101-698-1097<br />
</td>
        <td>1-8/5-6/5-7/5<br />
</td>
        <td>otonal<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>0-698-897-1097<br />
</td>
        <td>1-6/5-12/11-7/5<br />
</td>
        <td>swetismic<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>0-101-998-1097<br />
</td>
        <td>1-8/5-7/4-7/5<br />
</td>
        <td>keenanismic<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>0-399-998-1097<br />
</td>
        <td>1-7/6-7/4-7/5<br />
</td>
        <td>utonal<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>0-698-998-1097<br />
</td>
        <td>1-6/5-7/4-7/5<br />
</td>
        <td>keenanismic<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>0-897-998-1097<br />
</td>
        <td>1-12/11-7/4-7/5<br />
</td>
        <td>unimarvel<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>0-101-200-1196<br />
</td>
        <td>1-8/5-9/7-9/8<br />
</td>
        <td>marvel<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>0-200-599-1196<br />
</td>
        <td>1-9/7-3/2-9/8<br />
</td>
        <td>utonal<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>0-101-998-1196<br />
</td>
        <td>1-8/5-7/4-9/8<br />
</td>
        <td>unimarvel<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>0-599-998-1196<br />
</td>
        <td>1-3/2-7/4-9/8<br />
</td>
        <td>otonal<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>0-101-1097-1196<br />
</td>
        <td>1-8/5-7/5-9/8<br />
</td>
        <td>marvel<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>0-200-1097-1196<br />
</td>
        <td>1-9/7-7/5-9/8<br />
</td>
        <td>unimarvel<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>0-998-1097-1196<br />
</td>
        <td>1-7/4-7/5-9/8<br />
</td>
        <td>marvel<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>0-201-300-1296<br />
</td>
        <td>1-20/11-16/11-14/11<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>0-201-399-1296<br />
</td>
        <td>1-20/11-7/6-14/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>0-300-399-1296<br />
</td>
        <td>1-16/11-7/6-14/11<br />
</td>
        <td>keenanismic<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>0-201-897-1296<br />
</td>
        <td>1-20/11-12/11-14/11<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>0-300-897-1296<br />
</td>
        <td>1-16/11-12/11-14/11<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td>0-300-998-1296<br />
</td>
        <td>1-16/11-7/4-14/11<br />
</td>
        <td>keenanismic<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>38<br />
</td>
        <td>0-399-998-1296<br />
</td>
        <td>1-7/6-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>39<br />
</td>
        <td>0-897-998-1296<br />
</td>
        <td>1-12/11-7/4-14/11<br />
</td>
        <td>keenanismic<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>40<br />
</td>
        <td>0-399-1097-1296<br />
</td>
        <td>1-7/6-7/5-14/11<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>41<br />
</td>
        <td>0-897-1097-1296<br />
</td>
        <td>1-12/11-7/5-14/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>42<br />
</td>
        <td>0-998-1097-1296<br />
</td>
        <td>1-7/4-7/5-14/11<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>43<br />
</td>
        <td>0-101-200-1297<br />
</td>
        <td>1-8/5-9/7-9/5<br />
</td>
        <td>marvel<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>44<br />
</td>
        <td>0-200-599-1297<br />
</td>
        <td>1-9/7-3/2-9/5<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>45<br />
</td>
        <td>0-101-698-1297<br />
</td>
        <td>1-8/5-6/5-9/5<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>46<br />
</td>
        <td>0-599-698-1297<br />
</td>
        <td>1-3/2-6/5-9/5<br />
</td>
        <td>ambitonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>47<br />
</td>
        <td>0-101-1097-1297<br />
</td>
        <td>1-8/5-7/5-9/5<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>48<br />
</td>
        <td>0-200-1097-1297<br />
</td>
        <td>1-9/7-7/5-9/5<br />
</td>
        <td>swetismic<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>49<br />
</td>
        <td>0-698-1097-1297<br />
</td>
        <td>1-6/5-7/5-9/5<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>50<br />
</td>
        <td>0-101-1196-1297<br />
</td>
        <td>1-8/5-9/8-9/5<br />
</td>
        <td>marvel<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>51<br />
</td>
        <td>0-200-1196-1297<br />
</td>
        <td>1-9/7-9/8-9/5<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>52<br />
</td>
        <td>0-599-1196-1297<br />
</td>
        <td>1-3/2-9/8-9/5<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>53<br />
</td>
        <td>0-1097-1196-1297<br />
</td>
        <td>1-7/5-9/8-9/5<br />
</td>
        <td>marvel<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>54<br />
</td>
        <td>0-201-300-1496<br />
</td>
        <td>1-20/11-16/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>55<br />
</td>
        <td>0-200-399-1496<br />
</td>
        <td>1-9/7-7/6-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>56<br />
</td>
        <td>0-201-399-1496<br />
</td>
        <td>1-20/11-7/6-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>57<br />
</td>
        <td>0-300-399-1496<br />
</td>
        <td>1-16/11-7/6-18/11<br />
</td>
        <td>unimarvel<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>58<br />
</td>
        <td>0-200-599-1496<br />
</td>
        <td>1-9/7-3/2-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>59<br />
</td>
        <td>0-399-599-1496<br />
</td>
        <td>1-7/6-3/2-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>60<br />
</td>
        <td>0-201-897-1496<br />
</td>
        <td>1-20/11-12/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>61<br />
</td>
        <td>0-300-897-1496<br />
</td>
        <td>1-16/11-12/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>62<br />
</td>
        <td>0-599-897-1496<br />
</td>
        <td>1-3/2-12/11-18/11<br />
</td>
        <td>ambitonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>63<br />
</td>
        <td>0-200-1097-1496<br />
</td>
        <td>1-9/7-7/5-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>64<br />
</td>
        <td>0-399-1097-1496<br />
</td>
        <td>1-7/6-7/5-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>65<br />
</td>
        <td>0-897-1097-1496<br />
</td>
        <td>1-12/11-7/5-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>66<br />
</td>
        <td>0-200-1196-1496<br />
</td>
        <td>1-9/7-9/8-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>67<br />
</td>
        <td>0-599-1196-1496<br />
</td>
        <td>1-3/2-9/8-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>68<br />
</td>
        <td>0-1097-1196-1496<br />
</td>
        <td>1-7/5-9/8-18/11<br />
</td>
        <td>unimarvel<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>69<br />
</td>
        <td>0-201-1296-1496<br />
</td>
        <td>1-20/11-14/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>70<br />
</td>
        <td>0-300-1296-1496<br />
</td>
        <td>1-16/11-14/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>71<br />
</td>
        <td>0-399-1296-1496<br />
</td>
        <td>1-7/6-14/11-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>72<br />
</td>
        <td>0-897-1296-1496<br />
</td>
        <td>1-12/11-14/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>73<br />
</td>
        <td>0-1097-1296-1496<br />
</td>
        <td>1-7/5-14/11-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>74<br />
</td>
        <td>0-200-1297-1496<br />
</td>
        <td>1-9/7-9/5-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>75<br />
</td>
        <td>0-599-1297-1496<br />
</td>
        <td>1-3/2-9/5-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>76<br />
</td>
        <td>0-1097-1297-1496<br />
</td>
        <td>1-7/5-9/5-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>77<br />
</td>
        <td>0-1196-1297-1496<br />
</td>
        <td>1-9/8-9/5-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<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>
        <td>Complexity<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>0-101-300-399-998<br />
</td>
        <td>1-8/5-16/11-7/6-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-599-698-897-998<br />
</td>
        <td>1-3/2-6/5-12/11-7/4<br />
</td>
        <td>keenanismic<br />
</td>
        <td>20<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-101-200-399-1097<br />
</td>
        <td>1-8/5-9/7-7/6-7/5<br />
</td>
        <td>unimarvel<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-101-399-998-1097<br />
</td>
        <td>1-8/5-7/6-7/4-7/5<br />
</td>
        <td>keenanismic<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-101-698-998-1097<br />
</td>
        <td>1-8/5-6/5-7/4-7/5<br />
</td>
        <td>keenanismic<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-698-897-998-1097<br />
</td>
        <td>1-6/5-12/11-7/4-7/5<br />
</td>
        <td>unimarvel<br />
</td>
        <td>22<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-101-200-1097-1196<br />
</td>
        <td>1-8/5-9/7-7/5-9/8<br />
</td>
        <td>unimarvel<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-101-998-1097-1196<br />
</td>
        <td>1-8/5-7/4-7/5-9/8<br />
</td>
        <td>unimarvel<br />
</td>
        <td>24<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-201-300-399-1296<br />
</td>
        <td>1-20/11-16/11-7/6-14/11<br />
</td>
        <td>unimarvel<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>0-201-300-897-1296<br />
</td>
        <td>1-20/11-16/11-12/11-14/11<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>0-300-399-998-1296<br />
</td>
        <td>1-16/11-7/6-7/4-14/11<br />
</td>
        <td>keenanismic<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>0-300-897-998-1296<br />
</td>
        <td>1-16/11-12/11-7/4-14/11<br />
</td>
        <td>keenanismic<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>0-399-998-1097-1296<br />
</td>
        <td>1-7/6-7/4-7/5-14/11<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>0-897-998-1097-1296<br />
</td>
        <td>1-12/11-7/4-7/5-14/11<br />
</td>
        <td>unimarvel<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>0-101-200-1097-1297<br />
</td>
        <td>1-8/5-9/7-7/5-9/5<br />
</td>
        <td>unimarvel<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>0-101-698-1097-1297<br />
</td>
        <td>1-8/5-6/5-7/5-9/5<br />
</td>
        <td>otonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>0-101-200-1196-1297<br />
</td>
        <td>1-8/5-9/7-9/8-9/5<br />
</td>
        <td>marvel<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>0-200-599-1196-1297<br />
</td>
        <td>1-9/7-3/2-9/8-9/5<br />
</td>
        <td>utonal<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>0-101-1097-1196-1297<br />
</td>
        <td>1-8/5-7/5-9/8-9/5<br />
</td>
        <td>marvel<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>0-200-1097-1196-1297<br />
</td>
        <td>1-9/7-7/5-9/8-9/5<br />
</td>
        <td>unimarvel<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>0-201-300-399-1496<br />
</td>
        <td>1-20/11-16/11-7/6-18/11<br />
</td>
        <td>unimarvel<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>0-200-399-599-1496<br />
</td>
        <td>1-9/7-7/6-3/2-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>0-201-300-897-1496<br />
</td>
        <td>1-20/11-16/11-12/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>0-200-399-1097-1496<br />
</td>
        <td>1-9/7-7/6-7/5-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>0-200-599-1196-1496<br />
</td>
        <td>1-9/7-3/2-9/8-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>0-200-1097-1196-1496<br />
</td>
        <td>1-9/7-7/5-9/8-18/11<br />
</td>
        <td>unimarvel<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>0-201-300-1296-1496<br />
</td>
        <td>1-20/11-16/11-14/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>0-201-399-1296-1496<br />
</td>
        <td>1-20/11-7/6-14/11-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>0-300-399-1296-1496<br />
</td>
        <td>1-16/11-7/6-14/11-18/11<br />
</td>
        <td>unimarvel<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>0-201-897-1296-1496<br />
</td>
        <td>1-20/11-12/11-14/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>0-300-897-1296-1496<br />
</td>
        <td>1-16/11-12/11-14/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>0-399-1097-1296-1496<br />
</td>
        <td>1-7/6-7/5-14/11-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>0-897-1097-1296-1496<br />
</td>
        <td>1-12/11-7/5-14/11-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>0-200-599-1297-1496<br />
</td>
        <td>1-9/7-3/2-9/5-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>0-200-1097-1297-1496<br />
</td>
        <td>1-9/7-7/5-9/5-18/11<br />
</td>
        <td>swetismic<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>0-200-1196-1297-1496<br />
</td>
        <td>1-9/7-9/8-9/5-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td>0-599-1196-1297-1496<br />
</td>
        <td>1-3/2-9/8-9/5-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>38<br />
</td>
        <td>0-1097-1196-1297-1496<br />
</td>
        <td>1-7/5-9/8-9/5-18/11<br />
</td>
        <td>unimarvel<br />
</td>
        <td>30<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>
        <td>Complexity<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>0-101-200-1097-1196-1297<br />
</td>
        <td>1-8/5-9/7-7/5-9/8-9/5<br />
</td>
        <td>unimarvel<br />
</td>
        <td>26<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-201-300-399-1296-1496<br />
</td>
        <td>1-20/11-16/11-7/6-14/11 18/11<br />
</td>
        <td>unimarvel<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-201-300-897-1296-1496<br />
</td>
        <td>1-20/11-16/11-12/11-14/11-18/11<br />
</td>
        <td>otonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-200-599-1196-1297-1496<br />
</td>
        <td>1-9/7-3/2-9/8-9/5-18/11<br />
</td>
        <td>utonal<br />
</td>
        <td>30<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-200-1097-1196-1297-1496<br />
</td>
        <td>1-9/7-7/5-9/8-9/5-18/11<br />
</td>
        <td>unimarvel<br />
</td>
        <td>30<br />
</td>
    </tr>
</table>

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