Chords of ennealimnic: Difference between revisions

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Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Ragismic microtemperaments#Ennealimmal-Ennealimmic|ennealimmic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.

The normal mapping for ennealimnic is enn = [<9 1 1 12 -2|, <0 2 3 2 5|]. From this we may derive a val v = enn[1] + 100 enn[2] = <9 201 301 212 498| which we may use to sort and normalize the chords of ennealimmic. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering.  Finally, the Graham complexity is listed in the last column.

Ennealimmic has MOS of size 18, 27,  45 and 72. It may be seen that the 18 note MOS has some triads and tetrads, and 27 considerably more.

=Triads=
|| Number || Chord || Transversal || Type || Complexity ||
|| 1 || 0-7-96 || 1-12/7-11/9 || swetismic || 9 ||
|| 2 || 0-2-98 || 1-7/6-10/7 || swetismic || 9 ||
|| 3 || 0-7-98 || 1-12/7-10/7 || otonal || 9 ||
|| 4 || 0-96-98 || 1-11/9-10/7 || swetismic || 9 ||
|| 5 || 0-2-100 || 1-7/6-5/3 || otonal || 9 ||
|| 6 || 0-98-100 || 1-10/7-5/3 || utonal || 9 ||
|| 7 || 0-7-188 || 1-12/7-11/10 || swetismic || 18 ||
|| 8 || 0-96-188 || 1-11/9-11/10 || utonal || 18 ||
|| 9 || 0-101-188 || 1-9/5-11/10 || otonal || 18 ||
|| 10 || 0-2-190 || 1-7/6-9/7 || swetismic || 18 ||
|| 11 || 0-7-190 || 1-12/7-9/7 || otonal || 18 ||
|| 12 || 0-98-190 || 1-10/7-9/7 || otonal || 18 ||
|| 13 || 0-101-190 || 1-9/5-9/7 || utonal || 18 ||
|| 14 || 0-188-190 || 1-11/10-9/7 || swetismic || 18 ||
|| 15 || 0-2-192 || 1-7/6-3/2 || otonal || 18 ||
|| 16 || 0-7-192 || 1-12/7-3/2 || utonal || 18 ||
|| 17 || 0-96-192 || 1-11/9-3/2 || rastmic || 18 ||
|| 18 || 0-100-192 || 1-5/3-3/2 || otonal || 18 ||
|| 19 || 0-101-192 || 1-9/5-3/2 || utonal || 18 ||
|| 20 || 0-190-192 || 1-9/7-3/2 || utonal || 18 ||
|| 21 || 0-2-194 || 1-7/6-7/4 || utonal || 18 ||
|| 22 || 0-96-194 || 1-11/9-7/4 || werckismic || 18 ||
|| 23 || 0-98-194 || 1-10/7-7/4 || werckismic || 18 ||
|| 24 || 0-192-194 || 1-3/2-7/4 || otonal || 18 ||
|| 25 || 0-98-283 || 1-10/7-5/4 || utonal || 27 ||
|| 26 || 0-100-283 || 1-5/3-5/4 || utonal || 27 ||
|| 27 || 0-192-283 || 1-3/2-5/4 || otonal || 27 ||
|| 28 || 0-194-283 || 1-7/4-5/4 || otonal || 27 ||
|| 29 || 0-7-286 || 1-12/7-11/7 || otonal || 27 ||
|| 30 || 0-96-286 || 1-11/9-11/7 || utonal || 27 ||
|| 31 || 0-98-286 || 1-10/7-11/7 || otonal || 27 ||
|| 32 || 0-101-286 || 1-9/5-11/7 || werckismic || 27 ||
|| 33 || 0-188-286 || 1-11/10-11/7 || utonal || 27 ||
|| 34 || 0-190-286 || 1-9/7-11/7 || otonal || 27 ||
|| 35 || 0-194-286 || 1-7/4-11/7 || werckismic || 27 ||
|| 36 || 0-2-288 || 1-7/6-11/6 || otonal || 27 ||
|| 37 || 0-96-288 || 1-11/9-11/6 || utonal || 27 ||
|| 38 || 0-98-288 || 1-10/7-11/6 || swetismic || 27 ||
|| 39 || 0-100-288 || 1-5/3-11/6 || otonal || 27 ||
|| 40 || 0-188-288 || 1-11/10-11/6 || utonal || 27 ||
|| 41 || 0-190-288 || 1-9/7-11/6 || swetismic || 27 ||
|| 42 || 0-192-288 || 1-3/2-11/6 || otonal || 27 ||
|| 43 || 0-286-288 || 1-11/7-11/6 || utonal || 27 ||
|| 44 || 0-96-375 || 1-11/9-9/8 || rastmic || 36 ||
|| 45 || 0-98-375 || 1-10/7-9/8 || werckismic || 36 ||
|| 46 || 0-101-375 || 1-9/5-9/8 || utonal || 36 ||
|| 47 || 0-190-375 || 1-9/7-9/8 || utonal || 36 ||
|| 48 || 0-192-375 || 1-3/2-9/8 || ambitonal || 36 ||
|| 49 || 0-194-375 || 1-7/4-9/8 || otonal || 36 ||
|| 50 || 0-283-375 || 1-5/4-9/8 || otonal || 36 ||
|| 51 || 0-286-375 || 1-11/7-9/8 || werckismic || 36 ||
|| 52 || 0-288-375 || 1-11/6-9/8 || rastmic || 36 ||
|| 53 || 0-96-471 || 1-11/9-11/8 || utonal || 45 ||
|| 54 || 0-188-471 || 1-11/10-11/8 || utonal || 45 ||
|| 55 || 0-192-471 || 1-3/2-11/8 || otonal || 45 ||
|| 56 || 0-194-471 || 1-7/4-11/8 || otonal || 45 ||
|| 57 || 0-283-471 || 1-5/4-11/8 || otonal || 45 ||
|| 58 || 0-286-471 || 1-11/7-11/8 || utonal || 45 ||
|| 59 || 0-288-471 || 1-11/6-11/8 || utonal || 45 ||
|| 60 || 0-375-471 || 1-9/8-11/8 || otonal || 45 ||

=Tetrads=
|| Number || Chord || Transversal || Type || Complexity ||
|| 1 || 0-7-96-98 || 1-12/7-11/9-10/7 || swetismic || 9 ||
|| 2 || 0-2-98-100 || 1-7/6-10/7-5/3 || swetismic || 9 ||
|| 3 || 0-7-96-188 || 1-12/7-11/9-11/10 || swetismic || 18 ||
|| 4 || 0-2-98-190 || 1-7/6-10/7-9/7 || swetismic || 18 ||
|| 5 || 0-7-98-190 || 1-12/7-10/7-9/7 || otonal || 18 ||
|| 6 || 0-7-188-190 || 1-12/7-11/10-9/7 || swetismic || 18 ||
|| 7 || 0-101-188-190 || 1-9/5-11/10-9/7 || swetismic || 18 ||
|| 8 || 0-7-96-192 || 1-12/7-11/9-3/2 || jove || 18 ||
|| 9 || 0-2-100-192 || 1-7/6-5/3-3/2 || otonal || 18 ||
|| 10 || 0-2-190-192 || 1-7/6-9/7-3/2 || swetismic || 18 ||
|| 11 || 0-7-190-192 || 1-12/7-9/7-3/2 || ambitonal || 18 ||
|| 12 || 0-101-190-192 || 1-9/5-9/7-3/2 || utonal || 18 ||
|| 13 || 0-2-98-194 || 1-7/6-10/7-7/4 || jove || 18 ||
|| 14 || 0-96-98-194 || 1-11/9-10/7-7/4 || jove || 18 ||
|| 15 || 0-2-192-194 || 1-7/6-3/2-7/4 || ambitonal || 18 ||
|| 16 || 0-96-192-194 || 1-11/9-3/2-7/4 || jove || 18 ||
|| 17 || 0-98-100-283 || 1-10/7-5/3-5/4 || utonal || 27 ||
|| 18 || 0-100-192-283 || 1-5/3-3/2-5/4 || ambitonal || 27 ||
|| 19 || 0-98-194-283 || 1-10/7-7/4-5/4 || werckismic || 27 ||
|| 20 || 0-192-194-283 || 1-3/2-7/4-5/4 || otonal || 27 ||
|| 21 || 0-7-96-286 || 1-12/7-11/9-11/7 || swetismic || 27 ||
|| 22 || 0-7-98-286 || 1-12/7-10/7-11/7 || otonal || 27 ||
|| 23 || 0-96-98-286 || 1-11/9-10/7-11/7 || swetismic || 27 ||
|| 24 || 0-7-188-286 || 1-12/7-11/10-11/7 || swetismic || 27 ||
|| 25 || 0-96-188-286 || 1-11/9-11/10-11/7 || utonal || 27 ||
|| 26 || 0-101-188-286 || 1-9/5-11/10-11/7 || werckismic || 27 ||
|| 27 || 0-7-190-286 || 1-12/7-9/7-11/7 || otonal || 27 ||
|| 28 || 0-98-190-286 || 1-10/7-9/7-11/7 || otonal || 27 ||
|| 29 || 0-101-190-286 || 1-9/5-9/7-11/7 || werckismic || 27 ||
|| 30 || 0-188-190-286 || 1-11/10-9/7-11/7 || swetismic || 27 ||
|| 31 || 0-96-194-286 || 1-11/9-7/4-11/7 || werckismic || 27 ||
|| 32 || 0-98-194-286 || 1-10/7-7/4-11/7 || werckismic || 27 ||
|| 33 || 0-2-98-288 || 1-7/6-10/7-11/6 || swetismic || 27 ||
|| 34 || 0-96-98-288 || 1-11/9-10/7-11/6 || swetismic || 27 ||
|| 35 || 0-2-100-288 || 1-7/6-5/3-11/6 || otonal || 27 ||
|| 36 || 0-98-100-288 || 1-10/7-5/3-11/6 || swetismic || 27 ||
|| 37 || 0-96-188-288 || 1-11/9-11/10-11/6 || utonal || 27 ||
|| 38 || 0-2-190-288 || 1-7/6-9/7-11/6 || swetismic || 27 ||
|| 39 || 0-98-190-288 || 1-10/7-9/7-11/6 || swetismic || 27 ||
|| 40 || 0-188-190-288 || 1-11/10-9/7-11/6 || swetismic || 27 ||
|| 41 || 0-2-192-288 || 1-7/6-3/2-11/6 || otonal || 27 ||
|| 42 || 0-96-192-288 || 1-11/9-3/2-11/6 || rastmic || 27 ||
|| 43 || 0-100-192-288 || 1-5/3-3/2-11/6 || otonal || 27 ||
|| 44 || 0-190-192-288 || 1-9/7-3/2-11/6 || swetismic || 27 ||
|| 45 || 0-96-286-288 || 1-11/9-11/7-11/6 || utonal || 27 ||
|| 46 || 0-98-286-288 || 1-10/7-11/7-11/6 || swetismic || 27 ||
|| 47 || 0-188-286-288 || 1-11/10-11/7-11/6 || utonal || 27 ||
|| 48 || 0-190-286-288 || 1-9/7-11/7-11/6 || swetismic || 27 ||
|| 49 || 0-96-98-375 || 1-11/9-10/7-9/8 || jove || 36 ||
|| 50 || 0-98-190-375 || 1-10/7-9/7-9/8 || werckismic || 36 ||
|| 51 || 0-101-190-375 || 1-9/5-9/7-9/8 || utonal || 36 ||
|| 52 || 0-96-192-375 || 1-11/9-3/2-9/8 || rastmic ||36 ||
|| 53 || 0-101-192-375 || 1-9/5-3/2-9/8 || utonal || 36 ||
|| 54 || 0-190-192-375 || 1-9/7-3/2-9/8 || utonal || 36 ||
|| 55 || 0-96-194-375 || 1-11/9-7/4-9/8 || jove || 36 ||
|| 56 || 0-98-194-375 || 1-10/7-7/4-9/8 || werckismic || 36 ||
|| 57 || 0-192-194-375 || 1-3/2-7/4-9/8 || otonal || 36 ||
|| 58 || 0-98-283-375 || 1-10/7-5/4-9/8 || werckismic || 36 ||
|| 59 || 0-192-283-375 || 1-3/2-5/4-9/8 || otonal || 36 ||
|| 60 || 0-194-283-375 || 1-7/4-5/4-9/8 || otonal || 36 ||
|| 61 || 0-96-286-375 || 1-11/9-11/7-9/8 || jove || 36 ||
|| 62 || 0-98-286-375 || 1-10/7-11/7-9/8 || werckismic || 36 ||
|| 63 || 0-101-286-375 || 1-9/5-11/7-9/8 || werckismic || 36 ||
|| 64 || 0-190-286-375 || 1-9/7-11/7-9/8 || werckismic || 36 ||
|| 65 || 0-194-286-375 || 1-7/4-11/7-9/8 || werckismic || 36 ||
|| 66 || 0-96-288-375 || 1-11/9-11/6-9/8 || rastmic || 36 ||
|| 67 || 0-98-288-375 || 1-10/7-11/6-9/8 || jove || 36 ||
|| 68 || 0-190-288-375 || 1-9/7-11/6-9/8 || jove || 36 ||
|| 69 || 0-192-288-375 || 1-3/2-11/6-9/8 || rastmic || 36 ||
|| 70 || 0-286-288-375 || 1-11/7-11/6-9/8 || jove || 36 ||
|| 71 || 0-96-188-471 || 1-11/9-11/10-11/8 || utonal || 45 ||
|| 72 || 0-96-192-471 || 1-11/9-3/2-11/8 || rastmic || 45 ||
|| 73 || 0-96-194-471 || 1-11/9-7/4-11/8 || werckismic || 45 ||
|| 74 || 0-192-194-471 || 1-3/2-7/4-11/8 || otonal || 45 ||
|| 75 || 0-192-283-471 || 1-3/2-5/4-11/8 || otonal || 45 ||
|| 76 || 0-194-283-471 || 1-7/4-5/4-11/8 || otonal || 45 ||
|| 77 || 0-96-286-471 || 1-11/9-11/7-11/8 || utonal || 45 ||
|| 78 || 0-188-286-471 || 1-11/10-11/7-11/8 || utonal || 45 ||
|| 79 || 0-194-286-471 || 1-7/4-11/7-11/8 || werckismic || 45 ||
|| 80 || 0-96-288-471 || 1-11/9-11/6-11/8 || utonal || 45 ||
|| 81 || 0-188-288-471 || 1-11/10-11/6-11/8 || utonal || 45 ||
|| 82 || 0-192-288-471 || 1-3/2-11/6-11/8 || ambitonal || 45 ||
|| 83 || 0-286-288-471 || 1-11/7-11/6-11/8 || utonal || 45 ||
|| 84 || 0-96-375-471 || 1-11/9-9/8-11/8 || rastmic || 45 ||
|| 85 || 0-192-375-471 || 1-3/2-9/8-11/8 || otonal || 45 ||
|| 86 || 0-194-375-471 || 1-7/4-9/8-11/8 || otonal || 45 ||
|| 87 || 0-283-375-471 || 1-5/4-9/8-11/8 || otonal || 45 ||
|| 88 || 0-286-375-471 || 1-11/7-9/8-11/8 || werckismic || 45 ||
|| 89 || 0-288-375-471 || 1-11/6-9/8-11/8 || rastmic || 45 ||

=Pentads=
|| Number || Chord || Transversal || Type || Complexity ||
|| 1 || 0-7-96-98-286 || 1-12/7-11/9-10/7-11/7 || swetismic || 27 ||
|| 2 || 0-7-96-188-286 || 1-12/7-11/9-11/10-11/7 || swetismic || 27 ||
|| 3 || 0-7-98-190-286 || 1-12/7-10/7-9/7-11/7 || otonal || 27 ||
|| 4 || 0-7-188-190-286 || 1-12/7-11/10-9/7-11/7 || swetismic || 27 ||
|| 5 || 0-101-188-190-286 || 1-9/5-11/10-9/7-11/7 || jove || 27 ||
|| 6 || 0-96-98-194-286 || 1-11/9-10/7-7/4-11/7 || jove || 27 ||
|| 7 || 0-2-98-100-288 || 1-7/6-10/7-5/3-11/6 || swetismic || 27 ||
|| 8 || 0-2-98-190-288 || 1-7/6-10/7-9/7-11/6 || swetismic || 27 ||
|| 9 || 0-2-100-192-288 || 1-7/6-5/3-3/2-11/6 || otonal || 27 ||
|| 10 || 0-2-190-192-288 || 1-7/6-9/7-3/2-11/6 || swetismic || 27 ||
|| 11 || 0-96-98-286-288 || 1-11/9-10/7-11/7-11/6 || swetismic || 27 ||
|| 12 || 0-96-188-286-288 || 1-11/9-11/10-11/7-11/6 || utonal || 27 ||
|| 13 || 0-98-190-286-288 || 1-10/7-9/7-11/7-11/6 || swetismic || 27 ||
|| 14 || 0-188-190-286-288 || 1-11/10-9/7-11/7-11/6 || swetismic || 27 ||
|| 15 || 0-101-190-192-375 || 1-9/5-9/7-3/2-9/8 || utonal || 36 ||
|| 16 || 0-96-98-194-375 || 1-11/9-10/7-7/4-9/8 || jove || 36 ||
|| 17 || 0-96-192-194-375 || 1-11/9-3/2-7/4-9/8 || jove || 36 ||
|| 18 || 0-98-194-283-375 || 1-10/7-7/4-5/4-9/8 || werckismic || 36 ||
|| 19 || 0-192-194-283-375 || 1-3/2-7/4-5/4-9/8 || otonal || 36 ||
|| 20 || 0-96-98-286-375 || 1-11/9-10/7-11/7-9/8 || jove || 36 ||
|| 21 || 0-98-190-286-375 || 1-10/7-9/7-11/7-9/8 || werckismic || 36 ||
|| 22 || 0-101-190-286-375 || 1-9/5-9/7-11/7-9/8 || werckismic || 36 ||
|| 23 || 0-96-194-286-375 || 1-11/9-7/4-11/7-9/8 || jove || 36 ||
|| 24 || 0-98-194-286-375 || 1-10/7-7/4-11/7-9/8 || werckismic || 36 ||
|| 25 || 0-96-98-288-375 || 1-11/9-10/7-11/6-9/8 || jove || 36 ||
|| 26 || 0-98-190-288-375 || 1-10/7-9/7-11/6-9/8 || jove || 36 ||
|| 27 || 0-96-192-288-375 || 1-11/9-3/2-11/6-9/8 || rastmic || 36 ||
|| 28 || 0-190-192-288-375 || 1-9/7-3/2-11/6-9/8 || jove || 36 ||
|| 29 || 0-96-286-288-375 || 1-11/9-11/7-11/6-9/8 || jove || 36 ||
|| 30 || 0-98-286-288-375 || 1-10/7-11/7-11/6-9/8 || jove || 36 ||
|| 31 || 0-190-286-288-375 || 1-9/7-11/7-11/6-9/8 || jove || 36 ||
|| 32 || 0-96-192-194-471 || 1-11/9-3/2-7/4-11/8 || jove || 45 ||
|| 33 || 0-192-194-283-471 || 1-3/2-7/4-5/4-11/8 || otonal || 45 ||
|| 34 || 0-96-188-286-471 || 1-11/9-11/10-11/7-11/8 || utonal || 45 ||
|| 35 || 0-96-194-286-471 || 1-11/9-7/4-11/7-11/8 || werckismic || 45 ||
|| 36 || 0-96-188-288-471 || 1-11/9-11/10-11/6-11/8 || utonal || 45 ||
|| 37 || 0-96-192-288-471 || 1-11/9-3/2-11/6-11/8 || rastmic || 45 ||
|| 38 || 0-96-286-288-471 || 1-11/9-11/7-11/6-11/8 || utonal || 45 ||
|| 39 || 0-188-286-288-471 || 1-11/10-11/7-11/6-11/8 || utonal || 45 ||
|| 40 || 0-96-192-375-471 || 1-11/9-3/2-9/8-11/8 || rastmic || 45 ||
|| 41 || 0-96-194-375-471 || 1-11/9-7/4-9/8-11/8 || jove || 45 ||
|| 42 || 0-192-194-375-471 || 1-3/2-7/4-9/8-11/8 || otonal || 45 ||
|| 43 || 0-192-283-375-471 || 1-3/2-5/4-9/8-11/8 || otonal || 45 ||
|| 44 || 0-194-283-375-471 || 1-7/4-5/4-9/8-11/8 || otonal || 45 ||
|| 45 || 0-96-286-375-471 || 1-11/9-11/7-9/8-11/8 || jove || 45 ||
|| 46 || 0-194-286-375-471 || 1-7/4-11/7-9/8-11/8 || werckismic || 45 ||
|| 47 || 0-96-288-375-471 || 1-11/9-11/6-9/8-11/8 || rastmic || 45 ||
|| 48 || 0-192-288-375-471 || 1-3/2-11/6-9/8-11/8 || rastmic || 45 ||
|| 49 || 0-286-288-375-471 || 1-11/7-11/6-9/8-11/8 || jove || 45 ||

=Hexads=
|| Number || Chord || Transversal || Type || Complexity ||
|| 1 || 0-96-98-194-286-375 || 1-11/9-10/7-7/4-11/7-9/8 || jove || 36 ||
|| 2 || 0-96-98-286-288-375 || 1-11/9-10/7-11/7-11/6-9/8 || jove || 36 ||
|| 3 || 0-98-190-286-288-375 || 1-10/7-9/7-11/7-11/6-9/8 || jove || 36 ||
|| 4 || 0-96-188-286-288-471 || 1-11/9-11/10-11/7-11/6-11/8 || utonal || 45 ||
|| 5 || 0-96-192-194-375-471 || 1-11/9-3/2-7/4-9/8-11/8 || jove || 45 ||
|| 6 || 0-192-194-283-375-471 || 1-3/2-7/4-5/4-9/8-11/8 || otonal || 45 ||
|| 7 || 0-96-194-286-375-471 || 1-11/9-7/4-11/7-9/8-11/8 || jove || 45 ||
|| 8 || 0-96-192-288-375-471 || 1-11/9-3/2-11/6-9/8-11/8 || rastmic || 45 ||
|| 9 || 0-96-286-288-375-471 || 1-11/9-11/7-11/6-9/8-11/8 || jove || 45 ||

Original HTML content:

<html><head><title>Chords of ennealimnic</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="/Ragismic%20microtemperaments#Ennealimmal-Ennealimmic">ennealimmic temperament</a>. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.<br />
<br />
The normal mapping for ennealimnic is enn = [&lt;9 1 1 12 -2|, &lt;0 2 3 2 5|]. From this we may derive a val v = enn[1] + 100 enn[2] = &lt;9 201 301 212 498| which we may use to sort and normalize the chords of ennealimmic. Under &quot;Chord&quot; is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering.  Finally, the Graham complexity is listed in the last column.<br />
<br />
Ennealimmic has MOS of size 18, 27,  45 and 72. It may be seen that the 18 note MOS has some triads and tetrads, and 27 considerably more.<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>0-7-96<br />
</td>
        <td>1-12/7-11/9<br />
</td>
        <td>swetismic<br />
</td>
        <td>9<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-2-98<br />
</td>
        <td>1-7/6-10/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>9<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-7-98<br />
</td>
        <td>1-12/7-10/7<br />
</td>
        <td>otonal<br />
</td>
        <td>9<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-96-98<br />
</td>
        <td>1-11/9-10/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>9<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-2-100<br />
</td>
        <td>1-7/6-5/3<br />
</td>
        <td>otonal<br />
</td>
        <td>9<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-98-100<br />
</td>
        <td>1-10/7-5/3<br />
</td>
        <td>utonal<br />
</td>
        <td>9<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-7-188<br />
</td>
        <td>1-12/7-11/10<br />
</td>
        <td>swetismic<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-96-188<br />
</td>
        <td>1-11/9-11/10<br />
</td>
        <td>utonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-101-188<br />
</td>
        <td>1-9/5-11/10<br />
</td>
        <td>otonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>0-2-190<br />
</td>
        <td>1-7/6-9/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>0-7-190<br />
</td>
        <td>1-12/7-9/7<br />
</td>
        <td>otonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>0-98-190<br />
</td>
        <td>1-10/7-9/7<br />
</td>
        <td>otonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>0-101-190<br />
</td>
        <td>1-9/5-9/7<br />
</td>
        <td>utonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>0-188-190<br />
</td>
        <td>1-11/10-9/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>0-2-192<br />
</td>
        <td>1-7/6-3/2<br />
</td>
        <td>otonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>0-7-192<br />
</td>
        <td>1-12/7-3/2<br />
</td>
        <td>utonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>0-96-192<br />
</td>
        <td>1-11/9-3/2<br />
</td>
        <td>rastmic<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>0-100-192<br />
</td>
        <td>1-5/3-3/2<br />
</td>
        <td>otonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>0-101-192<br />
</td>
        <td>1-9/5-3/2<br />
</td>
        <td>utonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>0-190-192<br />
</td>
        <td>1-9/7-3/2<br />
</td>
        <td>utonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>0-2-194<br />
</td>
        <td>1-7/6-7/4<br />
</td>
        <td>utonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>0-96-194<br />
</td>
        <td>1-11/9-7/4<br />
</td>
        <td>werckismic<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>0-98-194<br />
</td>
        <td>1-10/7-7/4<br />
</td>
        <td>werckismic<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>0-192-194<br />
</td>
        <td>1-3/2-7/4<br />
</td>
        <td>otonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>0-98-283<br />
</td>
        <td>1-10/7-5/4<br />
</td>
        <td>utonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>0-100-283<br />
</td>
        <td>1-5/3-5/4<br />
</td>
        <td>utonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>0-192-283<br />
</td>
        <td>1-3/2-5/4<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>0-194-283<br />
</td>
        <td>1-7/4-5/4<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>0-7-286<br />
</td>
        <td>1-12/7-11/7<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>0-96-286<br />
</td>
        <td>1-11/9-11/7<br />
</td>
        <td>utonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>0-98-286<br />
</td>
        <td>1-10/7-11/7<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>0-101-286<br />
</td>
        <td>1-9/5-11/7<br />
</td>
        <td>werckismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>0-188-286<br />
</td>
        <td>1-11/10-11/7<br />
</td>
        <td>utonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>0-190-286<br />
</td>
        <td>1-9/7-11/7<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>0-194-286<br />
</td>
        <td>1-7/4-11/7<br />
</td>
        <td>werckismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>0-2-288<br />
</td>
        <td>1-7/6-11/6<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td>0-96-288<br />
</td>
        <td>1-11/9-11/6<br />
</td>
        <td>utonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>38<br />
</td>
        <td>0-98-288<br />
</td>
        <td>1-10/7-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>39<br />
</td>
        <td>0-100-288<br />
</td>
        <td>1-5/3-11/6<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>40<br />
</td>
        <td>0-188-288<br />
</td>
        <td>1-11/10-11/6<br />
</td>
        <td>utonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>41<br />
</td>
        <td>0-190-288<br />
</td>
        <td>1-9/7-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>42<br />
</td>
        <td>0-192-288<br />
</td>
        <td>1-3/2-11/6<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>43<br />
</td>
        <td>0-286-288<br />
</td>
        <td>1-11/7-11/6<br />
</td>
        <td>utonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>44<br />
</td>
        <td>0-96-375<br />
</td>
        <td>1-11/9-9/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>45<br />
</td>
        <td>0-98-375<br />
</td>
        <td>1-10/7-9/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>46<br />
</td>
        <td>0-101-375<br />
</td>
        <td>1-9/5-9/8<br />
</td>
        <td>utonal<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>47<br />
</td>
        <td>0-190-375<br />
</td>
        <td>1-9/7-9/8<br />
</td>
        <td>utonal<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>48<br />
</td>
        <td>0-192-375<br />
</td>
        <td>1-3/2-9/8<br />
</td>
        <td>ambitonal<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>49<br />
</td>
        <td>0-194-375<br />
</td>
        <td>1-7/4-9/8<br />
</td>
        <td>otonal<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>50<br />
</td>
        <td>0-283-375<br />
</td>
        <td>1-5/4-9/8<br />
</td>
        <td>otonal<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>51<br />
</td>
        <td>0-286-375<br />
</td>
        <td>1-11/7-9/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>52<br />
</td>
        <td>0-288-375<br />
</td>
        <td>1-11/6-9/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>53<br />
</td>
        <td>0-96-471<br />
</td>
        <td>1-11/9-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>54<br />
</td>
        <td>0-188-471<br />
</td>
        <td>1-11/10-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>55<br />
</td>
        <td>0-192-471<br />
</td>
        <td>1-3/2-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>56<br />
</td>
        <td>0-194-471<br />
</td>
        <td>1-7/4-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>57<br />
</td>
        <td>0-283-471<br />
</td>
        <td>1-5/4-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>58<br />
</td>
        <td>0-286-471<br />
</td>
        <td>1-11/7-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>59<br />
</td>
        <td>0-288-471<br />
</td>
        <td>1-11/6-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>60<br />
</td>
        <td>0-375-471<br />
</td>
        <td>1-9/8-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<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>0-7-96-98<br />
</td>
        <td>1-12/7-11/9-10/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>9<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-2-98-100<br />
</td>
        <td>1-7/6-10/7-5/3<br />
</td>
        <td>swetismic<br />
</td>
        <td>9<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-7-96-188<br />
</td>
        <td>1-12/7-11/9-11/10<br />
</td>
        <td>swetismic<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-2-98-190<br />
</td>
        <td>1-7/6-10/7-9/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-7-98-190<br />
</td>
        <td>1-12/7-10/7-9/7<br />
</td>
        <td>otonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-7-188-190<br />
</td>
        <td>1-12/7-11/10-9/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-101-188-190<br />
</td>
        <td>1-9/5-11/10-9/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-7-96-192<br />
</td>
        <td>1-12/7-11/9-3/2<br />
</td>
        <td>jove<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-2-100-192<br />
</td>
        <td>1-7/6-5/3-3/2<br />
</td>
        <td>otonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>0-2-190-192<br />
</td>
        <td>1-7/6-9/7-3/2<br />
</td>
        <td>swetismic<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>0-7-190-192<br />
</td>
        <td>1-12/7-9/7-3/2<br />
</td>
        <td>ambitonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>0-101-190-192<br />
</td>
        <td>1-9/5-9/7-3/2<br />
</td>
        <td>utonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>0-2-98-194<br />
</td>
        <td>1-7/6-10/7-7/4<br />
</td>
        <td>jove<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>0-96-98-194<br />
</td>
        <td>1-11/9-10/7-7/4<br />
</td>
        <td>jove<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>0-2-192-194<br />
</td>
        <td>1-7/6-3/2-7/4<br />
</td>
        <td>ambitonal<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>0-96-192-194<br />
</td>
        <td>1-11/9-3/2-7/4<br />
</td>
        <td>jove<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>0-98-100-283<br />
</td>
        <td>1-10/7-5/3-5/4<br />
</td>
        <td>utonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>0-100-192-283<br />
</td>
        <td>1-5/3-3/2-5/4<br />
</td>
        <td>ambitonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>0-98-194-283<br />
</td>
        <td>1-10/7-7/4-5/4<br />
</td>
        <td>werckismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>0-192-194-283<br />
</td>
        <td>1-3/2-7/4-5/4<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>0-7-96-286<br />
</td>
        <td>1-12/7-11/9-11/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>0-7-98-286<br />
</td>
        <td>1-12/7-10/7-11/7<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>0-96-98-286<br />
</td>
        <td>1-11/9-10/7-11/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>0-7-188-286<br />
</td>
        <td>1-12/7-11/10-11/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>0-96-188-286<br />
</td>
        <td>1-11/9-11/10-11/7<br />
</td>
        <td>utonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>0-101-188-286<br />
</td>
        <td>1-9/5-11/10-11/7<br />
</td>
        <td>werckismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>0-7-190-286<br />
</td>
        <td>1-12/7-9/7-11/7<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>0-98-190-286<br />
</td>
        <td>1-10/7-9/7-11/7<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>0-101-190-286<br />
</td>
        <td>1-9/5-9/7-11/7<br />
</td>
        <td>werckismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>0-188-190-286<br />
</td>
        <td>1-11/10-9/7-11/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>0-96-194-286<br />
</td>
        <td>1-11/9-7/4-11/7<br />
</td>
        <td>werckismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>0-98-194-286<br />
</td>
        <td>1-10/7-7/4-11/7<br />
</td>
        <td>werckismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>0-2-98-288<br />
</td>
        <td>1-7/6-10/7-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>0-96-98-288<br />
</td>
        <td>1-11/9-10/7-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>0-2-100-288<br />
</td>
        <td>1-7/6-5/3-11/6<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>0-98-100-288<br />
</td>
        <td>1-10/7-5/3-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td>0-96-188-288<br />
</td>
        <td>1-11/9-11/10-11/6<br />
</td>
        <td>utonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>38<br />
</td>
        <td>0-2-190-288<br />
</td>
        <td>1-7/6-9/7-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>39<br />
</td>
        <td>0-98-190-288<br />
</td>
        <td>1-10/7-9/7-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>40<br />
</td>
        <td>0-188-190-288<br />
</td>
        <td>1-11/10-9/7-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>41<br />
</td>
        <td>0-2-192-288<br />
</td>
        <td>1-7/6-3/2-11/6<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>42<br />
</td>
        <td>0-96-192-288<br />
</td>
        <td>1-11/9-3/2-11/6<br />
</td>
        <td>rastmic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>43<br />
</td>
        <td>0-100-192-288<br />
</td>
        <td>1-5/3-3/2-11/6<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>44<br />
</td>
        <td>0-190-192-288<br />
</td>
        <td>1-9/7-3/2-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>45<br />
</td>
        <td>0-96-286-288<br />
</td>
        <td>1-11/9-11/7-11/6<br />
</td>
        <td>utonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>46<br />
</td>
        <td>0-98-286-288<br />
</td>
        <td>1-10/7-11/7-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>47<br />
</td>
        <td>0-188-286-288<br />
</td>
        <td>1-11/10-11/7-11/6<br />
</td>
        <td>utonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>48<br />
</td>
        <td>0-190-286-288<br />
</td>
        <td>1-9/7-11/7-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>49<br />
</td>
        <td>0-96-98-375<br />
</td>
        <td>1-11/9-10/7-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>50<br />
</td>
        <td>0-98-190-375<br />
</td>
        <td>1-10/7-9/7-9/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>51<br />
</td>
        <td>0-101-190-375<br />
</td>
        <td>1-9/5-9/7-9/8<br />
</td>
        <td>utonal<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>52<br />
</td>
        <td>0-96-192-375<br />
</td>
        <td>1-11/9-3/2-9/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>53<br />
</td>
        <td>0-101-192-375<br />
</td>
        <td>1-9/5-3/2-9/8<br />
</td>
        <td>utonal<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>54<br />
</td>
        <td>0-190-192-375<br />
</td>
        <td>1-9/7-3/2-9/8<br />
</td>
        <td>utonal<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>55<br />
</td>
        <td>0-96-194-375<br />
</td>
        <td>1-11/9-7/4-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>56<br />
</td>
        <td>0-98-194-375<br />
</td>
        <td>1-10/7-7/4-9/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>57<br />
</td>
        <td>0-192-194-375<br />
</td>
        <td>1-3/2-7/4-9/8<br />
</td>
        <td>otonal<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>58<br />
</td>
        <td>0-98-283-375<br />
</td>
        <td>1-10/7-5/4-9/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>59<br />
</td>
        <td>0-192-283-375<br />
</td>
        <td>1-3/2-5/4-9/8<br />
</td>
        <td>otonal<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>60<br />
</td>
        <td>0-194-283-375<br />
</td>
        <td>1-7/4-5/4-9/8<br />
</td>
        <td>otonal<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>61<br />
</td>
        <td>0-96-286-375<br />
</td>
        <td>1-11/9-11/7-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>62<br />
</td>
        <td>0-98-286-375<br />
</td>
        <td>1-10/7-11/7-9/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>63<br />
</td>
        <td>0-101-286-375<br />
</td>
        <td>1-9/5-11/7-9/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>64<br />
</td>
        <td>0-190-286-375<br />
</td>
        <td>1-9/7-11/7-9/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>65<br />
</td>
        <td>0-194-286-375<br />
</td>
        <td>1-7/4-11/7-9/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>66<br />
</td>
        <td>0-96-288-375<br />
</td>
        <td>1-11/9-11/6-9/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>67<br />
</td>
        <td>0-98-288-375<br />
</td>
        <td>1-10/7-11/6-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>68<br />
</td>
        <td>0-190-288-375<br />
</td>
        <td>1-9/7-11/6-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>69<br />
</td>
        <td>0-192-288-375<br />
</td>
        <td>1-3/2-11/6-9/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>70<br />
</td>
        <td>0-286-288-375<br />
</td>
        <td>1-11/7-11/6-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>71<br />
</td>
        <td>0-96-188-471<br />
</td>
        <td>1-11/9-11/10-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>72<br />
</td>
        <td>0-96-192-471<br />
</td>
        <td>1-11/9-3/2-11/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>73<br />
</td>
        <td>0-96-194-471<br />
</td>
        <td>1-11/9-7/4-11/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>74<br />
</td>
        <td>0-192-194-471<br />
</td>
        <td>1-3/2-7/4-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>75<br />
</td>
        <td>0-192-283-471<br />
</td>
        <td>1-3/2-5/4-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>76<br />
</td>
        <td>0-194-283-471<br />
</td>
        <td>1-7/4-5/4-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>77<br />
</td>
        <td>0-96-286-471<br />
</td>
        <td>1-11/9-11/7-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>78<br />
</td>
        <td>0-188-286-471<br />
</td>
        <td>1-11/10-11/7-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>79<br />
</td>
        <td>0-194-286-471<br />
</td>
        <td>1-7/4-11/7-11/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>80<br />
</td>
        <td>0-96-288-471<br />
</td>
        <td>1-11/9-11/6-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>81<br />
</td>
        <td>0-188-288-471<br />
</td>
        <td>1-11/10-11/6-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>82<br />
</td>
        <td>0-192-288-471<br />
</td>
        <td>1-3/2-11/6-11/8<br />
</td>
        <td>ambitonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>83<br />
</td>
        <td>0-286-288-471<br />
</td>
        <td>1-11/7-11/6-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>84<br />
</td>
        <td>0-96-375-471<br />
</td>
        <td>1-11/9-9/8-11/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>85<br />
</td>
        <td>0-192-375-471<br />
</td>
        <td>1-3/2-9/8-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>86<br />
</td>
        <td>0-194-375-471<br />
</td>
        <td>1-7/4-9/8-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>87<br />
</td>
        <td>0-283-375-471<br />
</td>
        <td>1-5/4-9/8-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>88<br />
</td>
        <td>0-286-375-471<br />
</td>
        <td>1-11/7-9/8-11/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>89<br />
</td>
        <td>0-288-375-471<br />
</td>
        <td>1-11/6-9/8-11/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>45<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>0-7-96-98-286<br />
</td>
        <td>1-12/7-11/9-10/7-11/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-7-96-188-286<br />
</td>
        <td>1-12/7-11/9-11/10-11/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-7-98-190-286<br />
</td>
        <td>1-12/7-10/7-9/7-11/7<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-7-188-190-286<br />
</td>
        <td>1-12/7-11/10-9/7-11/7<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-101-188-190-286<br />
</td>
        <td>1-9/5-11/10-9/7-11/7<br />
</td>
        <td>jove<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-96-98-194-286<br />
</td>
        <td>1-11/9-10/7-7/4-11/7<br />
</td>
        <td>jove<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-2-98-100-288<br />
</td>
        <td>1-7/6-10/7-5/3-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-2-98-190-288<br />
</td>
        <td>1-7/6-10/7-9/7-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-2-100-192-288<br />
</td>
        <td>1-7/6-5/3-3/2-11/6<br />
</td>
        <td>otonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>0-2-190-192-288<br />
</td>
        <td>1-7/6-9/7-3/2-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>0-96-98-286-288<br />
</td>
        <td>1-11/9-10/7-11/7-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>0-96-188-286-288<br />
</td>
        <td>1-11/9-11/10-11/7-11/6<br />
</td>
        <td>utonal<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>0-98-190-286-288<br />
</td>
        <td>1-10/7-9/7-11/7-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>0-188-190-286-288<br />
</td>
        <td>1-11/10-9/7-11/7-11/6<br />
</td>
        <td>swetismic<br />
</td>
        <td>27<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>0-101-190-192-375<br />
</td>
        <td>1-9/5-9/7-3/2-9/8<br />
</td>
        <td>utonal<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>0-96-98-194-375<br />
</td>
        <td>1-11/9-10/7-7/4-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>0-96-192-194-375<br />
</td>
        <td>1-11/9-3/2-7/4-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>0-98-194-283-375<br />
</td>
        <td>1-10/7-7/4-5/4-9/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>0-192-194-283-375<br />
</td>
        <td>1-3/2-7/4-5/4-9/8<br />
</td>
        <td>otonal<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>0-96-98-286-375<br />
</td>
        <td>1-11/9-10/7-11/7-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>0-98-190-286-375<br />
</td>
        <td>1-10/7-9/7-11/7-9/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>0-101-190-286-375<br />
</td>
        <td>1-9/5-9/7-11/7-9/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>0-96-194-286-375<br />
</td>
        <td>1-11/9-7/4-11/7-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>0-98-194-286-375<br />
</td>
        <td>1-10/7-7/4-11/7-9/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>0-96-98-288-375<br />
</td>
        <td>1-11/9-10/7-11/6-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>0-98-190-288-375<br />
</td>
        <td>1-10/7-9/7-11/6-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>0-96-192-288-375<br />
</td>
        <td>1-11/9-3/2-11/6-9/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>0-190-192-288-375<br />
</td>
        <td>1-9/7-3/2-11/6-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>0-96-286-288-375<br />
</td>
        <td>1-11/9-11/7-11/6-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>0-98-286-288-375<br />
</td>
        <td>1-10/7-11/7-11/6-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>0-190-286-288-375<br />
</td>
        <td>1-9/7-11/7-11/6-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>0-96-192-194-471<br />
</td>
        <td>1-11/9-3/2-7/4-11/8<br />
</td>
        <td>jove<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>0-192-194-283-471<br />
</td>
        <td>1-3/2-7/4-5/4-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>0-96-188-286-471<br />
</td>
        <td>1-11/9-11/10-11/7-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>0-96-194-286-471<br />
</td>
        <td>1-11/9-7/4-11/7-11/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>0-96-188-288-471<br />
</td>
        <td>1-11/9-11/10-11/6-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td>0-96-192-288-471<br />
</td>
        <td>1-11/9-3/2-11/6-11/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>38<br />
</td>
        <td>0-96-286-288-471<br />
</td>
        <td>1-11/9-11/7-11/6-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>39<br />
</td>
        <td>0-188-286-288-471<br />
</td>
        <td>1-11/10-11/7-11/6-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>40<br />
</td>
        <td>0-96-192-375-471<br />
</td>
        <td>1-11/9-3/2-9/8-11/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>41<br />
</td>
        <td>0-96-194-375-471<br />
</td>
        <td>1-11/9-7/4-9/8-11/8<br />
</td>
        <td>jove<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>42<br />
</td>
        <td>0-192-194-375-471<br />
</td>
        <td>1-3/2-7/4-9/8-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>43<br />
</td>
        <td>0-192-283-375-471<br />
</td>
        <td>1-3/2-5/4-9/8-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>44<br />
</td>
        <td>0-194-283-375-471<br />
</td>
        <td>1-7/4-5/4-9/8-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>45<br />
</td>
        <td>0-96-286-375-471<br />
</td>
        <td>1-11/9-11/7-9/8-11/8<br />
</td>
        <td>jove<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>46<br />
</td>
        <td>0-194-286-375-471<br />
</td>
        <td>1-7/4-11/7-9/8-11/8<br />
</td>
        <td>werckismic<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>47<br />
</td>
        <td>0-96-288-375-471<br />
</td>
        <td>1-11/9-11/6-9/8-11/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>48<br />
</td>
        <td>0-192-288-375-471<br />
</td>
        <td>1-3/2-11/6-9/8-11/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>49<br />
</td>
        <td>0-286-288-375-471<br />
</td>
        <td>1-11/7-11/6-9/8-11/8<br />
</td>
        <td>jove<br />
</td>
        <td>45<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>0-96-98-194-286-375<br />
</td>
        <td>1-11/9-10/7-7/4-11/7-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-96-98-286-288-375<br />
</td>
        <td>1-11/9-10/7-11/7-11/6-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-98-190-286-288-375<br />
</td>
        <td>1-10/7-9/7-11/7-11/6-9/8<br />
</td>
        <td>jove<br />
</td>
        <td>36<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-96-188-286-288-471<br />
</td>
        <td>1-11/9-11/10-11/7-11/6-11/8<br />
</td>
        <td>utonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-96-192-194-375-471<br />
</td>
        <td>1-11/9-3/2-7/4-9/8-11/8<br />
</td>
        <td>jove<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-192-194-283-375-471<br />
</td>
        <td>1-3/2-7/4-5/4-9/8-11/8<br />
</td>
        <td>otonal<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-96-194-286-375-471<br />
</td>
        <td>1-11/9-7/4-11/7-9/8-11/8<br />
</td>
        <td>jove<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-96-192-288-375-471<br />
</td>
        <td>1-11/9-3/2-11/6-9/8-11/8<br />
</td>
        <td>rastmic<br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-96-286-288-375-471<br />
</td>
        <td>1-11/9-11/7-11/6-9/8-11/8<br />
</td>
        <td>jove<br />
</td>
        <td>45<br />
</td>
    </tr>
</table>

</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-30 16:14:01 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-16 16:42:19 UTC</tt>.<br>
-: The original revision id was <tt>288855747</tt>.<br>
+: The original revision id was <tt>336148654</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 8: / Line 8: @@
 <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 [[Ragismic microtemperaments#Ennealimmal-Ennealimmic|ennealimmic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.
-The normal mapping for ennealimic is enn = [&lt;9 1 1 12 -2|, &lt;0 2 3 2 5|]. From this we may derive a val v = enn[1] + 100 enn[2] = &lt;9 201 301 212 498| which we may use to sort and normalize the chords of ennealimmic. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering.  Finally, the Graham complexity is listed in the last column.
+The normal mapping for ennealimnic is enn = [&lt;9 1 1 12 -2|, &lt;0 2 3 2 5|]. From this we may derive a val v = enn[1] + 100 enn[2] = &lt;9 201 301 212 498| which we may use to sort and normalize the chords of ennealimmic. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering.  Finally, the Graham complexity is listed in the last column.
 Ennealimmic has MOS of size 18, 27,  45 and 72. It may be seen that the 18 note MOS has some triads and tetrads, and 27 considerably more.
@@ Line 235: / Line 235: @@
 <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chords of ennealimnic&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Below are listed the &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;dyadic chords&lt;/a&gt; of 11-limit &lt;a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal-Ennealimmic"&gt;ennealimmic temperament&lt;/a&gt;. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.&lt;br /&gt;
 &lt;br /&gt;
-The normal mapping for ennealimic is enn = [&amp;lt;9 1 1 12 -2|, &amp;lt;0 2 3 2 5|]. From this we may derive a val v = enn[1] + 100 enn[2] = &amp;lt;9 201 301 212 498| which we may use to sort and normalize the chords of ennealimmic. Under &amp;quot;Chord&amp;quot; is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering.  Finally, the Graham complexity is listed in the last column.&lt;br /&gt;
+The normal mapping for ennealimnic is enn = [&amp;lt;9 1 1 12 -2|, &amp;lt;0 2 3 2 5|]. From this we may derive a val v = enn[1] + 100 enn[2] = &amp;lt;9 201 301 212 498| which we may use to sort and normalize the chords of ennealimmic. Under &amp;quot;Chord&amp;quot; is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering.  Finally, the Graham complexity is listed in the last column.&lt;br /&gt;
 &lt;br /&gt;
 Ennealimmic has MOS of size 18, 27,  45 and 72. It may be seen that the 18 note MOS has some triads and tetrads, and 27 considerably more.&lt;br /&gt;

Chords of ennealimnic: Difference between revisions

Revision as of 16:42, 16 May 2012

IMPORTED REVISION FROM WIKISPACES

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