Diaschismic/Chords
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-12-25 15:19:36 UTC.
- The original revision id was 288444650.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Diaschismic+family#Diaschismic|diaschismic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 441/440 are labeled werckismic, by 176/175 valinorsmic, by 896/891 pentacircle, and by 126/125 starling. Those requiring tempering by any two of 126/125, 176/175 or 441/440 are labeled thrush, and by both 896/891 and 441/440 pele. The normal mapping for diaschismic is dia = [<2 0 11 31 45|, <0 1 -2 -8 -12|]. From this we may derive a val v = dia[1] - 100 dia[2] = <2 -100 211 831 1245| which we may use to sort and normalize the chords of diaschismic. 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. Diaschsmic has MOS of size 10, 12, 22, 34, 46 and 58. It may be seen that even ten notes are not without resources, mostly essentially just. By the time we get to 22 notes, we are well-supplied. =Triads= || Number || Chord || Transversal || Type || Complexity || || 1 || 0-104-208 || 1-4/3-16/9 || ambitonal || 4 || || 2 || 0-104-311 || 1-4/3-5/3 || otonal || 6 || || 3 || 0-207-311 || 1-5/4-5/3 || utonal || 6 || || 4 || 0-104-413 || 1-4/3-10/9 || otonal || 8 || || 5 || 0-207-413 || 1-5/4-10/9 || utonal || 8 || || 6 || 0-208-413 || 1-16/9-10/9 || otonal || 8 || || 7 || 0-311-413 || 1-5/3-10/9 || utonal || 8 || || 8 || 0-207-414 || 1-5/4-11/7 || valinorsmic || 8 || || 9 || 0-208-414 || 1-16/9-11/7 || pentacircle || 8 || || 10 || 0-207-620 || 1-5/4-7/5 || starling || 12 || || 11 || 0-208-620 || 1-16/9-7/5 || werckismic || 12 || || 12 || 0-311-620 || 1-5/3-7/5 || starling || 12 || || 13 || 0-413-620 || 1-10/9-7/5 || starling || 12 || || 14 || 0-414-620 || 1-11/7-7/5 || werckismic || 12 || || 15 || 0-207-827 || 1-5/4-7/4 || otonal || 16 || || 16 || 0-413-827 || 1-10/9-7/4 || werckismic || 16 || || 17 || 0-414-827 || 1-11/7-7/4 || werckismic || 16 || || 18 || 0-620-827 || 1-7/5-7/4 || utonal || 16 || || 19 || 0-104-929 || 1-4/3-7/6 || otonal || 18 || || 20 || 0-311-929 || 1-5/3-7/6 || otonal || 18 || || 21 || 0-620-929 || 1-7/5-7/6 || utonal || 18 || || 22 || 0-827-929 || 1-7/4-7/6 || utonal || 18 || || 23 || 0-207-1032 || 1-5/4-11/10 || valinorsmic || 20 || || 24 || 0-414-1032 || 1-11/7-11/10 || utonal || 20 || || 25 || 0-620-1032 || 1-7/5-11/10 || otonal || 20 || || 26 || 0-827-1032 || 1-7/4-11/10 || valinorsmic || 20 || || 27 || 0-104-1033 || 1-4/3-14/9 || otonal || 20 || || 28 || 0-208-1033 || 1-16/9-14/9 || otonal || 20 || || 29 || 0-413-1033 || 1-10/9-14/9 || otonal || 20 || || 30 || 0-620-1033 || 1-7/5-14/9 || utonal || 20 || || 31 || 0-827-1033 || 1-7/4-14/9 || utonal || 20 || || 32 || 0-929-1033 || 1-7/6-14/9 || utonal || 20 || || 33 || 0-207-1239 || 1-5/4-11/8 || otonal || 24 || || 34 || 0-208-1239 || 1-16/9-11/8 || pentacircle || 24 || || 35 || 0-414-1239 || 1-11/7-11/8 || utonal || 24 || || 36 || 0-827-1239 || 1-7/4-11/8 || otonal || 24 || || 37 || 0-1032-1239 || 1-11/10-11/8 || utonal || 24 || || 38 || 0-1033-1239 || 1-14/9-11/8 || pentacircle || 24 || || 39 || 0-104-1343 || 1-4/3-11/6 || otonal || 26 || || 40 || 0-311-1343 || 1-5/3-11/6 || otonal || 26 || || 41 || 0-414-1343 || 1-11/7-11/6 || utonal || 26 || || 42 || 0-929-1343 || 1-7/6-11/6 || otonal || 26 || || 43 || 0-1032-1343 || 1-11/10-11/6 || utonal || 26 || || 44 || 0-1239-1343 || 1-11/8-11/6 || utonal || 26 || || 45 || 0-104-1445 || 1-4/3-11/9 || otonal || 28 || || 46 || 0-208-1445 || 1-16/9-11/9 || otonal || 28 || || 47 || 0-413-1445 || 1-10/9-11/9 || otonal || 28 || || 48 || 0-414-1445 || 1-11/7-11/9 || utonal || 28 || || 49 || 0-620-1445 || 1-7/5-11/9 || werckismic || 28 || || 50 || 0-827-1445 || 1-7/4-11/9 || werckismic || 28 || || 51 || 0-1032-1445 || 1-11/10-11/9 || utonal || 28 || || 52 || 0-1033-1445 || 1-14/9-11/9 || otonal || 28 || || 53 || 0-1239-1445 || 1-11/8-11/9 || utonal || 28 || || 54 || 0-1343-1445 || 1-11/6-11/9 || utonal || 28 || =Tetrads= || Number || Chord || Transversal || Type || Complexity || || 1 || 0-104-208-413 || 1-4/3-16/9-10/9 || otonal || 8 || || 2 || 0-104-311-413 || 1-4/3-5/3-10/9 || ambitonal || 8 || || 3 || 0-207-311-413 || 1-5/4-5/3-10/9 || utonal || 8 || || 4 || 0-207-311-620 || 1-5/4-5/3-7/5 || starling || 12 || || 5 || 0-207-413-620 || 1-5/4-10/9-7/5 || starling || 12 || || 6 || 0-208-413-620 || 1-16/9-10/9-7/5 || thrush || 12 || || 7 || 0-311-413-620 || 1-5/3-10/9-7/5 || starling || 12 || || 8 || 0-207-414-620 || 1-5/4-11/7-7/5 || thrush || 12 || || 9 || 0-208-414-620 || 1-16/9-11/7-7/5 || pele || 12 || || 10 || 0-207-413-827 || 1-5/4-10/9-7/4 || werckismic || 16 || || 11 || 0-207-414-827 || 1-5/4-11/7-7/4 || thrush || 16 || || 12 || 0-207-620-827 || 1-5/4-7/5-7/4 || starling || 16 || || 13 || 0-413-620-827 || 1-10/9-7/5-7/4 || thrush || 16 || || 14 || 0-414-620-827 || 1-11/7-7/5-7/4 || werckismic || 16 || || 15 || 0-104-311-929 || 1-4/3-5/3-7/6 || otonal || 18 || || 16 || 0-311-620-929 || 1-5/3-7/5-7/6 || starling || 18 || || 17 || 0-620-827-929 || 1-7/5-7/4-7/6 || utonal || 18 || || 18 || 0-207-414-1032 || 1-5/4-11/7-11/10 || valinorsmic || 20 || || 19 || 0-207-620-1032 || 1-5/4-7/5-11/10 || thrush || 20 || || 20 || 0-414-620-1032 || 1-11/7-7/5-11/10 || werckismic || 20 || || 21 || 0-207-827-1032 || 1-5/4-7/4-11/10 || valinorsmic || 20 || || 22 || 0-414-827-1032 || 1-11/7-7/4-11/10 || thrush || 20 || || 23 || 0-620-827-1032 || 1-7/5-7/4-11/10 || valinorsmic || 20 || || 24 || 0-104-208-1033 || 1-4/3-16/9-14/9 || otonal || 20 || || 25 || 0-104-413-1033 || 1-4/3-10/9-14/9 || otonal || 20 || || 26 || 0-208-413-1033 || 1-16/9-10/9-14/9 || otonal || 20 || || 27 || 0-208-620-1033 || 1-16/9-7/5-14/9 || werckismic || 20 || || 28 || 0-413-620-1033 || 1-10/9-7/5-14/9 || starling || 20 || || 29 || 0-413-827-1033 || 1-10/9-7/4-14/9 || werckismic || 20 || || 30 || 0-620-827-1033 || 1-7/5-7/4-14/9 || utonal || 20 || || 31 || 0-104-929-1033 || 1-4/3-7/6-14/9 || ambitonal || 20 || || 32 || 0-620-929-1033 || 1-7/5-7/6-14/9 || utonal || 20 || || 33 || 0-827-929-1033 || 1-7/4-7/6-14/9 || utonal || 20 || || 34 || 0-207-414-1239 || 1-5/4-11/7-11/8 || valinorsmic || 24 || || 35 || 0-208-414-1239 || 1-16/9-11/7-11/8 || pentacircle || 24 || || 36 || 0-207-827-1239 || 1-5/4-7/4-11/8 || otonal || 24 || || 37 || 0-414-827-1239 || 1-11/7-7/4-11/8 || werckismic || 24 || || 38 || 0-207-1032-1239 || 1-5/4-11/10-11/8 || valinorsmic || 24 || || 39 || 0-414-1032-1239 || 1-11/7-11/10-11/8 || utonal || 24 || || 40 || 0-827-1032-1239 || 1-7/4-11/10-11/8 || valinorsmic || 24 || || 41 || 0-208-1033-1239 || 1-16/9-14/9-11/8 || pentacircle || 24 || || 42 || 0-827-1033-1239 || 1-7/4-14/9-11/8 || pentacircle || 24 || || 43 || 0-104-311-1343 || 1-4/3-5/3-11/6 || otonal || 26 || || 44 || 0-104-929-1343 || 1-4/3-7/6-11/6 || otonal || 26 || || 45 || 0-311-929-1343 || 1-5/3-7/6-11/6 || otonal || 26 || || 46 || 0-414-1032-1343 || 1-11/7-11/10-11/6 || utonal || 26 || || 47 || 0-414-1239-1343 || 1-11/7-11/8-11/6 || utonal || 26 || || 48 || 0-1032-1239-1343 || 1-11/10-11/8-11/6 || utonal || 26 || || 49 || 0-104-208-1445 || 1-4/3-16/9-11/9 || otonal || 28 || || 50 || 0-104-413-1445 || 1-4/3-10/9-11/9 || otonal || 28 || || 51 || 0-208-413-1445 || 1-16/9-10/9-11/9 || otonal || 28 || || 52 || 0-208-414-1445 || 1-16/9-11/7-11/9 || pentacircle || 28 || || 53 || 0-208-620-1445 || 1-16/9-7/5-11/9 || werckismic || 28 || || 54 || 0-413-620-1445 || 1-10/9-7/5-11/9 || thrush || 28 || || 55 || 0-414-620-1445 || 1-11/7-7/5-11/9 || werckismic || 28 || || 56 || 0-413-827-1445 || 1-10/9-7/4-11/9 || werckismic || 28 || || 57 || 0-414-827-1445 || 1-11/7-7/4-11/9 || werckismic || 28 || || 58 || 0-620-827-1445 || 1-7/5-7/4-11/9 || werckismic || 28 || || 59 || 0-414-1032-1445 || 1-11/7-11/10-11/9 || utonal || 28 || || 60 || 0-620-1032-1445 || 1-7/5-11/10-11/9 || werckismic || 28 || || 61 || 0-827-1032-1445 || 1-7/4-11/10-11/9 || thrush || 28 || || 62 || 0-104-1033-1445 || 1-4/3-14/9-11/9 || otonal || 28 || || 63 || 0-208-1033-1445 || 1-16/9-14/9-11/9 || otonal || 28 || || 64 || 0-413-1033-1445 || 1-10/9-14/9-11/9 || otonal || 28 || || 65 || 0-620-1033-1445 || 1-7/5-14/9-11/9 || werckismic || 28 || || 66 || 0-827-1033-1445 || 1-7/4-14/9-11/9 || werckismic || 28 || || 67 || 0-208-1239-1445 || 1-16/9-11/8-11/9 || pentacircle || 28 || || 68 || 0-414-1239-1445 || 1-11/7-11/8-11/9 || utonal || 28 || || 69 || 0-827-1239-1445 || 1-7/4-11/8-11/9 || werckismic || 28 || || 70 || 0-1032-1239-1445 || 1-11/10-11/8-11/9 || utonal || 28 || || 71 || 0-1033-1239-1445 || 1-14/9-11/8-11/9 || pentacircle || 28 || || 72 || 0-104-1343-1445 || 1-4/3-11/6-11/9 || ambitonal || 28 || || 73 || 0-414-1343-1445 || 1-11/7-11/6-11/9 || utonal || 28 || || 74 || 0-1032-1343-1445 || 1-11/10-11/6-11/9 || utonal || 28 || || 75 || 0-1239-1343-1445 || 1-11/8-11/6-11/9 || utonal || 28 || =Pentads= || Number || Chord || Transversal || Type || Complexity || || 1 || 0-207-311-413-620 || 1-5/4-5/3-10/9-7/5 || starling || 12 || || 2 || 0-207-413-620-827 || 1-5/4-10/9-7/5-7/4 || thrush || 16 || || 3 || 0-207-414-620-827 || 1-5/4-11/7-7/5-7/4 || thrush || 16 || || 4 || 0-207-414-620-1032 || 1-5/4-11/7-7/5-11/10 || thrush || 20 || || 5 || 0-207-414-827-1032 || 1-5/4-11/7-7/4-11/10 || thrush || 20 || || 6 || 0-207-620-827-1032 || 1-5/4-7/5-7/4-11/10 || thrush || 20 || || 7 || 0-414-620-827-1032 || 1-11/7-7/5-7/4-11/10 || thrush || 20 || || 8 || 0-104-208-413-1033 || 1-4/3-16/9-10/9-14/9 || otonal || 20 || || 9 || 0-208-413-620-1033 || 1-16/9-10/9-7/5-14/9 || thrush || 20 || || 10 || 0-413-620-827-1033 || 1-10/9-7/5-7/4-14/9 || thrush || 20 || || 11 || 0-620-827-929-1033 || 1-7/5-7/4-7/6-14/9 || utonal || 20 || || 12 || 0-207-414-827-1239 || 1-5/4-11/7-7/4-11/8 || thrush || 24 || || 13 || 0-207-414-1032-1239 || 1-5/4-11/7-11/10-11/8 || valinorsmic || 24 || || 14 || 0-207-827-1032-1239 || 1-5/4-7/4-11/10-11/8 || valinorsmic || 24 || || 15 || 0-414-827-1032-1239 || 1-11/7-7/4-11/10-11/8 || thrush || 24 || || 16 || 0-104-311-929-1343 || 1-4/3-5/3-7/6-11/6 || otonal || 26 || || 17 || 0-414-1032-1239-1343 || 1-11/7-11/10-11/8-11/6 || utonal || 26 || || 18 || 0-104-208-413-1445 || 1-4/3-16/9-10/9-11/9 || otonal || 28 || || 19 || 0-208-413-620-1445 || 1-16/9-10/9-7/5-11/9 || thrush || 28 || || 20 || 0-208-414-620-1445 || 1-16/9-11/7-7/5-11/9 || pele || 28 || || 21 || 0-413-620-827-1445 || 1-10/9-7/5-7/4-11/9 || thrush || 28 || || 22 || 0-414-620-827-1445 || 1-11/7-7/5-7/4-11/9 || werckismic || 28 || || 23 || 0-414-620-1032-1445 || 1-11/7-7/5-11/10-11/9 || werckismic || 28 || || 24 || 0-414-827-1032-1445 || 1-11/7-7/4-11/10-11/9 || thrush || 28 || || 25 || 0-620-827-1032-1445 || 1-7/5-7/4-11/10-11/9 || thrush || 28 || || 26 || 0-104-208-1033-1445 || 1-4/3-16/9-14/9-11/9 || otonal || 28 || || 27 || 0-104-413-1033-1445 || 1-4/3-10/9-14/9-11/9 || otonal || 28 || || 28 || 0-208-413-1033-1445 || 1-16/9-10/9-14/9-11/9 || otonal || 28 || || 29 || 0-208-620-1033-1445 || 1-16/9-7/5-14/9-11/9 || werckismic || 28 || || 30 || 0-413-620-1033-1445 || 1-10/9-7/5-14/9-11/9 || thrush || 28 || || 31 || 0-413-827-1033-1445 || 1-10/9-7/4-14/9-11/9 || werckismic || 28 || || 32 || 0-620-827-1033-1445 || 1-7/5-7/4-14/9-11/9 || werckismic || 28 || || 33 || 0-208-414-1239-1445 || 1-16/9-11/7-11/8-11/9 || pentacircle || 28 || || 34 || 0-414-827-1239-1445 || 1-11/7-7/4-11/8-11/9 || werckismic || 28 || || 35 || 0-414-1032-1239-1445 || 1-11/7-11/10-11/8-11/9 || utonal || 28 || || 36 || 0-827-1032-1239-1445 || 1-7/4-11/10-11/8-11/9 || thrush || 28 || || 37 || 0-208-1033-1239-1445 || 1-16/9-14/9-11/8-11/9 || pentacircle || 28 || || 38 || 0-827-1033-1239-1445 || 1-7/4-14/9-11/8-11/9 || pele || 28 || || 39 || 0-414-1032-1343-1445 || 1-11/7-11/10-11/6-11/9 || utonal || 28 || || 40 || 0-414-1239-1343-1445 || 1-11/7-11/8-11/6-11/9 || utonal || 28 || || 41 || 0-1032-1239-1343-1445 || 1-11/10-11/8-11/6-11/9 || utonal || 28 || =Hexads= || Number || Chord || Transversal || Type || Complexity || || 1 || 0-207-414-620-827-1032 || 1-5/4-11/7-7/5-7/4-11/10 || thrush || 20 || || 2 || 0-207-414-827-1032-1239 || 1-5/4-11/7-7/4-11/10-11/8 || thrush || 24 || || 3 || 0-414-620-827-1032-1445 || 1-11/7-7/5-7/4-11/10-11/9 || thrush || 28 || || 4 || 0-104-208-413-1033-1445 || 1-4/3-16/9-10/9-14/9-11/9 || otonal || 28 || || 5 || 0-208-413-620-1033-1445 || 1-16/9-10/9-7/5-14/9-11/9 || thrush || 28 || || 6 || 0-413-620-827-1033-1445 || 1-10/9-7/5-7/4-14/9-11/9 || thrush || 28 || || 7 || 0-414-827-1032-1239-1445 || 1-11/7-7/4-11/10-11/8-11/9 || thrush || 28 || || 8 || 0-414-1032-1239-1343-1445 || 1-11/7-11/10-11/8-11/6-11/9 || utonal || 28 ||
Original HTML content:
<html><head><title>Chords of diaschismic</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit [[Diaschismic+family#Diaschismic|diaschismic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 441/440 are labeled werckismic, by 176/175 valinorsmic, by 896/891 pentacircle, and by 126/125 starling. Those requiring tempering by any two of 126/125, 176/175 or 441/440 are labeled thrush, and by both 896/891 and 441/440 pele.<br />
<br />
The normal mapping for diaschismic is dia = [<2 0 11 31 45|, <0 1 -2 -8 -12|]. From this we may derive a val v = dia[1] - 100 dia[2] = <2 -100 211 831 1245| which we may use to sort and normalize the chords of diaschismic. 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.<br />
<br />
Diaschsmic has MOS of size 10, 12, 22, 34, 46 and 58. It may be seen that even ten notes are not without resources, mostly essentially just. By the time we get to 22 notes, we are well-supplied.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><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>0-104-208<br />
</td>
<td>1-4/3-16/9<br />
</td>
<td>ambitonal<br />
</td>
<td>4<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>0-104-311<br />
</td>
<td>1-4/3-5/3<br />
</td>
<td>otonal<br />
</td>
<td>6<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>0-207-311<br />
</td>
<td>1-5/4-5/3<br />
</td>
<td>utonal<br />
</td>
<td>6<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>0-104-413<br />
</td>
<td>1-4/3-10/9<br />
</td>
<td>otonal<br />
</td>
<td>8<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>0-207-413<br />
</td>
<td>1-5/4-10/9<br />
</td>
<td>utonal<br />
</td>
<td>8<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>0-208-413<br />
</td>
<td>1-16/9-10/9<br />
</td>
<td>otonal<br />
</td>
<td>8<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>0-311-413<br />
</td>
<td>1-5/3-10/9<br />
</td>
<td>utonal<br />
</td>
<td>8<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>0-207-414<br />
</td>
<td>1-5/4-11/7<br />
</td>
<td>valinorsmic<br />
</td>
<td>8<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>0-208-414<br />
</td>
<td>1-16/9-11/7<br />
</td>
<td>pentacircle<br />
</td>
<td>8<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>0-207-620<br />
</td>
<td>1-5/4-7/5<br />
</td>
<td>starling<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>0-208-620<br />
</td>
<td>1-16/9-7/5<br />
</td>
<td>werckismic<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>0-311-620<br />
</td>
<td>1-5/3-7/5<br />
</td>
<td>starling<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>0-413-620<br />
</td>
<td>1-10/9-7/5<br />
</td>
<td>starling<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>0-414-620<br />
</td>
<td>1-11/7-7/5<br />
</td>
<td>werckismic<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>0-207-827<br />
</td>
<td>1-5/4-7/4<br />
</td>
<td>otonal<br />
</td>
<td>16<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>0-413-827<br />
</td>
<td>1-10/9-7/4<br />
</td>
<td>werckismic<br />
</td>
<td>16<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>0-414-827<br />
</td>
<td>1-11/7-7/4<br />
</td>
<td>werckismic<br />
</td>
<td>16<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>0-620-827<br />
</td>
<td>1-7/5-7/4<br />
</td>
<td>utonal<br />
</td>
<td>16<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>0-104-929<br />
</td>
<td>1-4/3-7/6<br />
</td>
<td>otonal<br />
</td>
<td>18<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>0-311-929<br />
</td>
<td>1-5/3-7/6<br />
</td>
<td>otonal<br />
</td>
<td>18<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>0-620-929<br />
</td>
<td>1-7/5-7/6<br />
</td>
<td>utonal<br />
</td>
<td>18<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>0-827-929<br />
</td>
<td>1-7/4-7/6<br />
</td>
<td>utonal<br />
</td>
<td>18<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>0-207-1032<br />
</td>
<td>1-5/4-11/10<br />
</td>
<td>valinorsmic<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>0-414-1032<br />
</td>
<td>1-11/7-11/10<br />
</td>
<td>utonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>0-620-1032<br />
</td>
<td>1-7/5-11/10<br />
</td>
<td>otonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>0-827-1032<br />
</td>
<td>1-7/4-11/10<br />
</td>
<td>valinorsmic<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>0-104-1033<br />
</td>
<td>1-4/3-14/9<br />
</td>
<td>otonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>0-208-1033<br />
</td>
<td>1-16/9-14/9<br />
</td>
<td>otonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>0-413-1033<br />
</td>
<td>1-10/9-14/9<br />
</td>
<td>otonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>0-620-1033<br />
</td>
<td>1-7/5-14/9<br />
</td>
<td>utonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>0-827-1033<br />
</td>
<td>1-7/4-14/9<br />
</td>
<td>utonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>0-929-1033<br />
</td>
<td>1-7/6-14/9<br />
</td>
<td>utonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>0-207-1239<br />
</td>
<td>1-5/4-11/8<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>0-208-1239<br />
</td>
<td>1-16/9-11/8<br />
</td>
<td>pentacircle<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>0-414-1239<br />
</td>
<td>1-11/7-11/8<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>0-827-1239<br />
</td>
<td>1-7/4-11/8<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>0-1032-1239<br />
</td>
<td>1-11/10-11/8<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>0-1033-1239<br />
</td>
<td>1-14/9-11/8<br />
</td>
<td>pentacircle<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td>0-104-1343<br />
</td>
<td>1-4/3-11/6<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td>0-311-1343<br />
</td>
<td>1-5/3-11/6<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td>0-414-1343<br />
</td>
<td>1-11/7-11/6<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td>0-929-1343<br />
</td>
<td>1-7/6-11/6<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td>0-1032-1343<br />
</td>
<td>1-11/10-11/6<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td>0-1239-1343<br />
</td>
<td>1-11/8-11/6<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td>0-104-1445<br />
</td>
<td>1-4/3-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td>0-208-1445<br />
</td>
<td>1-16/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>47<br />
</td>
<td>0-413-1445<br />
</td>
<td>1-10/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>48<br />
</td>
<td>0-414-1445<br />
</td>
<td>1-11/7-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>49<br />
</td>
<td>0-620-1445<br />
</td>
<td>1-7/5-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>50<br />
</td>
<td>0-827-1445<br />
</td>
<td>1-7/4-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>51<br />
</td>
<td>0-1032-1445<br />
</td>
<td>1-11/10-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>52<br />
</td>
<td>0-1033-1445<br />
</td>
<td>1-14/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>53<br />
</td>
<td>0-1239-1445<br />
</td>
<td>1-11/8-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>54<br />
</td>
<td>0-1343-1445<br />
</td>
<td>1-11/6-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><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>0-104-208-413<br />
</td>
<td>1-4/3-16/9-10/9<br />
</td>
<td>otonal<br />
</td>
<td>8<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>0-104-311-413<br />
</td>
<td>1-4/3-5/3-10/9<br />
</td>
<td>ambitonal<br />
</td>
<td>8<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>0-207-311-413<br />
</td>
<td>1-5/4-5/3-10/9<br />
</td>
<td>utonal<br />
</td>
<td>8<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>0-207-311-620<br />
</td>
<td>1-5/4-5/3-7/5<br />
</td>
<td>starling<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>0-207-413-620<br />
</td>
<td>1-5/4-10/9-7/5<br />
</td>
<td>starling<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>0-208-413-620<br />
</td>
<td>1-16/9-10/9-7/5<br />
</td>
<td>thrush<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>0-311-413-620<br />
</td>
<td>1-5/3-10/9-7/5<br />
</td>
<td>starling<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>0-207-414-620<br />
</td>
<td>1-5/4-11/7-7/5<br />
</td>
<td>thrush<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>0-208-414-620<br />
</td>
<td>1-16/9-11/7-7/5<br />
</td>
<td>pele<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>0-207-413-827<br />
</td>
<td>1-5/4-10/9-7/4<br />
</td>
<td>werckismic<br />
</td>
<td>16<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>0-207-414-827<br />
</td>
<td>1-5/4-11/7-7/4<br />
</td>
<td>thrush<br />
</td>
<td>16<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>0-207-620-827<br />
</td>
<td>1-5/4-7/5-7/4<br />
</td>
<td>starling<br />
</td>
<td>16<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>0-413-620-827<br />
</td>
<td>1-10/9-7/5-7/4<br />
</td>
<td>thrush<br />
</td>
<td>16<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>0-414-620-827<br />
</td>
<td>1-11/7-7/5-7/4<br />
</td>
<td>werckismic<br />
</td>
<td>16<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>0-104-311-929<br />
</td>
<td>1-4/3-5/3-7/6<br />
</td>
<td>otonal<br />
</td>
<td>18<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>0-311-620-929<br />
</td>
<td>1-5/3-7/5-7/6<br />
</td>
<td>starling<br />
</td>
<td>18<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>0-620-827-929<br />
</td>
<td>1-7/5-7/4-7/6<br />
</td>
<td>utonal<br />
</td>
<td>18<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>0-207-414-1032<br />
</td>
<td>1-5/4-11/7-11/10<br />
</td>
<td>valinorsmic<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>0-207-620-1032<br />
</td>
<td>1-5/4-7/5-11/10<br />
</td>
<td>thrush<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>0-414-620-1032<br />
</td>
<td>1-11/7-7/5-11/10<br />
</td>
<td>werckismic<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>0-207-827-1032<br />
</td>
<td>1-5/4-7/4-11/10<br />
</td>
<td>valinorsmic<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>0-414-827-1032<br />
</td>
<td>1-11/7-7/4-11/10<br />
</td>
<td>thrush<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>0-620-827-1032<br />
</td>
<td>1-7/5-7/4-11/10<br />
</td>
<td>valinorsmic<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>0-104-208-1033<br />
</td>
<td>1-4/3-16/9-14/9<br />
</td>
<td>otonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>0-104-413-1033<br />
</td>
<td>1-4/3-10/9-14/9<br />
</td>
<td>otonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>0-208-413-1033<br />
</td>
<td>1-16/9-10/9-14/9<br />
</td>
<td>otonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>0-208-620-1033<br />
</td>
<td>1-16/9-7/5-14/9<br />
</td>
<td>werckismic<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>0-413-620-1033<br />
</td>
<td>1-10/9-7/5-14/9<br />
</td>
<td>starling<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>0-413-827-1033<br />
</td>
<td>1-10/9-7/4-14/9<br />
</td>
<td>werckismic<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>0-620-827-1033<br />
</td>
<td>1-7/5-7/4-14/9<br />
</td>
<td>utonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>0-104-929-1033<br />
</td>
<td>1-4/3-7/6-14/9<br />
</td>
<td>ambitonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>0-620-929-1033<br />
</td>
<td>1-7/5-7/6-14/9<br />
</td>
<td>utonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>0-827-929-1033<br />
</td>
<td>1-7/4-7/6-14/9<br />
</td>
<td>utonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>0-207-414-1239<br />
</td>
<td>1-5/4-11/7-11/8<br />
</td>
<td>valinorsmic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>0-208-414-1239<br />
</td>
<td>1-16/9-11/7-11/8<br />
</td>
<td>pentacircle<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>0-207-827-1239<br />
</td>
<td>1-5/4-7/4-11/8<br />
</td>
<td>otonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>0-414-827-1239<br />
</td>
<td>1-11/7-7/4-11/8<br />
</td>
<td>werckismic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>0-207-1032-1239<br />
</td>
<td>1-5/4-11/10-11/8<br />
</td>
<td>valinorsmic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td>0-414-1032-1239<br />
</td>
<td>1-11/7-11/10-11/8<br />
</td>
<td>utonal<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td>0-827-1032-1239<br />
</td>
<td>1-7/4-11/10-11/8<br />
</td>
<td>valinorsmic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td>0-208-1033-1239<br />
</td>
<td>1-16/9-14/9-11/8<br />
</td>
<td>pentacircle<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td>0-827-1033-1239<br />
</td>
<td>1-7/4-14/9-11/8<br />
</td>
<td>pentacircle<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td>0-104-311-1343<br />
</td>
<td>1-4/3-5/3-11/6<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td>0-104-929-1343<br />
</td>
<td>1-4/3-7/6-11/6<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td>0-311-929-1343<br />
</td>
<td>1-5/3-7/6-11/6<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td>0-414-1032-1343<br />
</td>
<td>1-11/7-11/10-11/6<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>47<br />
</td>
<td>0-414-1239-1343<br />
</td>
<td>1-11/7-11/8-11/6<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>48<br />
</td>
<td>0-1032-1239-1343<br />
</td>
<td>1-11/10-11/8-11/6<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>49<br />
</td>
<td>0-104-208-1445<br />
</td>
<td>1-4/3-16/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>50<br />
</td>
<td>0-104-413-1445<br />
</td>
<td>1-4/3-10/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>51<br />
</td>
<td>0-208-413-1445<br />
</td>
<td>1-16/9-10/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>52<br />
</td>
<td>0-208-414-1445<br />
</td>
<td>1-16/9-11/7-11/9<br />
</td>
<td>pentacircle<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>53<br />
</td>
<td>0-208-620-1445<br />
</td>
<td>1-16/9-7/5-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>54<br />
</td>
<td>0-413-620-1445<br />
</td>
<td>1-10/9-7/5-11/9<br />
</td>
<td>thrush<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>55<br />
</td>
<td>0-414-620-1445<br />
</td>
<td>1-11/7-7/5-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>56<br />
</td>
<td>0-413-827-1445<br />
</td>
<td>1-10/9-7/4-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>57<br />
</td>
<td>0-414-827-1445<br />
</td>
<td>1-11/7-7/4-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>58<br />
</td>
<td>0-620-827-1445<br />
</td>
<td>1-7/5-7/4-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>59<br />
</td>
<td>0-414-1032-1445<br />
</td>
<td>1-11/7-11/10-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>60<br />
</td>
<td>0-620-1032-1445<br />
</td>
<td>1-7/5-11/10-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>61<br />
</td>
<td>0-827-1032-1445<br />
</td>
<td>1-7/4-11/10-11/9<br />
</td>
<td>thrush<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>62<br />
</td>
<td>0-104-1033-1445<br />
</td>
<td>1-4/3-14/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>63<br />
</td>
<td>0-208-1033-1445<br />
</td>
<td>1-16/9-14/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>64<br />
</td>
<td>0-413-1033-1445<br />
</td>
<td>1-10/9-14/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>65<br />
</td>
<td>0-620-1033-1445<br />
</td>
<td>1-7/5-14/9-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>66<br />
</td>
<td>0-827-1033-1445<br />
</td>
<td>1-7/4-14/9-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>67<br />
</td>
<td>0-208-1239-1445<br />
</td>
<td>1-16/9-11/8-11/9<br />
</td>
<td>pentacircle<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>68<br />
</td>
<td>0-414-1239-1445<br />
</td>
<td>1-11/7-11/8-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>69<br />
</td>
<td>0-827-1239-1445<br />
</td>
<td>1-7/4-11/8-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>70<br />
</td>
<td>0-1032-1239-1445<br />
</td>
<td>1-11/10-11/8-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>71<br />
</td>
<td>0-1033-1239-1445<br />
</td>
<td>1-14/9-11/8-11/9<br />
</td>
<td>pentacircle<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>72<br />
</td>
<td>0-104-1343-1445<br />
</td>
<td>1-4/3-11/6-11/9<br />
</td>
<td>ambitonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>73<br />
</td>
<td>0-414-1343-1445<br />
</td>
<td>1-11/7-11/6-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>74<br />
</td>
<td>0-1032-1343-1445<br />
</td>
<td>1-11/10-11/6-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>75<br />
</td>
<td>0-1239-1343-1445<br />
</td>
<td>1-11/8-11/6-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><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>0-207-311-413-620<br />
</td>
<td>1-5/4-5/3-10/9-7/5<br />
</td>
<td>starling<br />
</td>
<td>12<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>0-207-413-620-827<br />
</td>
<td>1-5/4-10/9-7/5-7/4<br />
</td>
<td>thrush<br />
</td>
<td>16<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>0-207-414-620-827<br />
</td>
<td>1-5/4-11/7-7/5-7/4<br />
</td>
<td>thrush<br />
</td>
<td>16<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>0-207-414-620-1032<br />
</td>
<td>1-5/4-11/7-7/5-11/10<br />
</td>
<td>thrush<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>0-207-414-827-1032<br />
</td>
<td>1-5/4-11/7-7/4-11/10<br />
</td>
<td>thrush<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>0-207-620-827-1032<br />
</td>
<td>1-5/4-7/5-7/4-11/10<br />
</td>
<td>thrush<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>0-414-620-827-1032<br />
</td>
<td>1-11/7-7/5-7/4-11/10<br />
</td>
<td>thrush<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>0-104-208-413-1033<br />
</td>
<td>1-4/3-16/9-10/9-14/9<br />
</td>
<td>otonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>0-208-413-620-1033<br />
</td>
<td>1-16/9-10/9-7/5-14/9<br />
</td>
<td>thrush<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>0-413-620-827-1033<br />
</td>
<td>1-10/9-7/5-7/4-14/9<br />
</td>
<td>thrush<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>0-620-827-929-1033<br />
</td>
<td>1-7/5-7/4-7/6-14/9<br />
</td>
<td>utonal<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>0-207-414-827-1239<br />
</td>
<td>1-5/4-11/7-7/4-11/8<br />
</td>
<td>thrush<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>0-207-414-1032-1239<br />
</td>
<td>1-5/4-11/7-11/10-11/8<br />
</td>
<td>valinorsmic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>0-207-827-1032-1239<br />
</td>
<td>1-5/4-7/4-11/10-11/8<br />
</td>
<td>valinorsmic<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>0-414-827-1032-1239<br />
</td>
<td>1-11/7-7/4-11/10-11/8<br />
</td>
<td>thrush<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>0-104-311-929-1343<br />
</td>
<td>1-4/3-5/3-7/6-11/6<br />
</td>
<td>otonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>0-414-1032-1239-1343<br />
</td>
<td>1-11/7-11/10-11/8-11/6<br />
</td>
<td>utonal<br />
</td>
<td>26<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>0-104-208-413-1445<br />
</td>
<td>1-4/3-16/9-10/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>0-208-413-620-1445<br />
</td>
<td>1-16/9-10/9-7/5-11/9<br />
</td>
<td>thrush<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>0-208-414-620-1445<br />
</td>
<td>1-16/9-11/7-7/5-11/9<br />
</td>
<td>pele<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>0-413-620-827-1445<br />
</td>
<td>1-10/9-7/5-7/4-11/9<br />
</td>
<td>thrush<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>0-414-620-827-1445<br />
</td>
<td>1-11/7-7/5-7/4-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>0-414-620-1032-1445<br />
</td>
<td>1-11/7-7/5-11/10-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>0-414-827-1032-1445<br />
</td>
<td>1-11/7-7/4-11/10-11/9<br />
</td>
<td>thrush<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>0-620-827-1032-1445<br />
</td>
<td>1-7/5-7/4-11/10-11/9<br />
</td>
<td>thrush<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>0-104-208-1033-1445<br />
</td>
<td>1-4/3-16/9-14/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>0-104-413-1033-1445<br />
</td>
<td>1-4/3-10/9-14/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>0-208-413-1033-1445<br />
</td>
<td>1-16/9-10/9-14/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>0-208-620-1033-1445<br />
</td>
<td>1-16/9-7/5-14/9-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>0-413-620-1033-1445<br />
</td>
<td>1-10/9-7/5-14/9-11/9<br />
</td>
<td>thrush<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>0-413-827-1033-1445<br />
</td>
<td>1-10/9-7/4-14/9-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>0-620-827-1033-1445<br />
</td>
<td>1-7/5-7/4-14/9-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>0-208-414-1239-1445<br />
</td>
<td>1-16/9-11/7-11/8-11/9<br />
</td>
<td>pentacircle<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>0-414-827-1239-1445<br />
</td>
<td>1-11/7-7/4-11/8-11/9<br />
</td>
<td>werckismic<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>0-414-1032-1239-1445<br />
</td>
<td>1-11/7-11/10-11/8-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>0-827-1032-1239-1445<br />
</td>
<td>1-7/4-11/10-11/8-11/9<br />
</td>
<td>thrush<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>0-208-1033-1239-1445<br />
</td>
<td>1-16/9-14/9-11/8-11/9<br />
</td>
<td>pentacircle<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>0-827-1033-1239-1445<br />
</td>
<td>1-7/4-14/9-11/8-11/9<br />
</td>
<td>pele<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td>0-414-1032-1343-1445<br />
</td>
<td>1-11/7-11/10-11/6-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td>0-414-1239-1343-1445<br />
</td>
<td>1-11/7-11/8-11/6-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td>0-1032-1239-1343-1445<br />
</td>
<td>1-11/10-11/8-11/6-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h1> --><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>0-207-414-620-827-1032<br />
</td>
<td>1-5/4-11/7-7/5-7/4-11/10<br />
</td>
<td>thrush<br />
</td>
<td>20<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>0-207-414-827-1032-1239<br />
</td>
<td>1-5/4-11/7-7/4-11/10-11/8<br />
</td>
<td>thrush<br />
</td>
<td>24<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>0-414-620-827-1032-1445<br />
</td>
<td>1-11/7-7/5-7/4-11/10-11/9<br />
</td>
<td>thrush<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>0-104-208-413-1033-1445<br />
</td>
<td>1-4/3-16/9-10/9-14/9-11/9<br />
</td>
<td>otonal<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>0-208-413-620-1033-1445<br />
</td>
<td>1-16/9-10/9-7/5-14/9-11/9<br />
</td>
<td>thrush<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>0-413-620-827-1033-1445<br />
</td>
<td>1-10/9-7/5-7/4-14/9-11/9<br />
</td>
<td>thrush<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>0-414-827-1032-1239-1445<br />
</td>
<td>1-11/7-7/4-11/10-11/8-11/9<br />
</td>
<td>thrush<br />
</td>
<td>28<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>0-414-1032-1239-1343-1445<br />
</td>
<td>1-11/7-11/10-11/8-11/6-11/9<br />
</td>
<td>utonal<br />
</td>
<td>28<br />
</td>
</tr>
</table>
</body></html>