Chords of hemiwürschmidt: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Hemimean clan#Hemiwürschmidt|hemiwürschmidt temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 540/539 are swetismic, by 441/440 werckismic, and by 243/242 rastmic. Chords requiring any two of the above are labeled jove.
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>2011-12-21 22:46:00 UTC</tt>.<br>
: The original revision id was <tt>288069884</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>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Würschmidt family#Hemiwürschmidt|hemiwürschmidt temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 540/539 are swetismic, by 441/440 werckismic, and by 243/242 rastmic. Chords requiring any two of the above are labeled jove.


Hemiwürschmidt has MOS of size 6, 7, 13, 19, 25, 31, 37 and 68. The largest chords on these lists have complexity 40, and so would require the 68 note MOS. However, it will be observed that much smaller MOS still have quite a few chords.
Hemiwürschmidt has MOS of size 6, 7, 13, 19, 25, 31, 37 and 68. The largest chords on these lists have complexity 40, and so would require the 68 note MOS. However, it will be observed that much smaller MOS still have quite a few chords.


=Triads=
=Triads=
|| Number || Chord || Transversal || Type ||
 
||1 || 0-2-5 || 1-5/4-7/4 || otonal ||
{| class="wikitable"
||2 || 0-3-5 || 1-7/5-7/4 || utonal ||
|-
||3 || 0-3-8 || 1-7/5-11/9 || werckismic ||
| | Number
||4 || 0-5-8 || 1-7/4-11/9 || werckismic ||
| | Chord
||5 || 0-3-11 || 1-7/5-12/7 || swetismic ||
| | Transversal
||6 || 0-8-11 || 1-11/9-12/7 || swetismic ||
| | Type
||7 || 0-3-14 || 1-7/5-6/5 || otonal ||
|-
||8 || 0-11-14 || 1-12/7-6/5 || utonal ||
| | 1
||9 || 0-2-16 || 1-5/4-3/2 || otonal ||
| | 0-2-5
||10 || 0-5-16 || 1-7/4-3/2 || otonal ||
| | 1-5/4-7/4
||11 || 0-8-16 || 1-11/9-3/2 || rastmic ||
| | otonal
||12 || 0-11-16 || 1-12/7-3/2 || utonal ||
|-
||13 || 0-14-16 || 1-6/5-3/2 || utonal ||
| | 2
||14 || 0-8-24 || 1-11/9-11/6 || utonal ||
| | 0-3-5
||15 || 0-16-24 || 1-3/2-11/6 || otonal ||
| | 1-7/5-7/4
||16 || 0-3-27 || 1-7/5-9/7 || swetismic ||
| | utonal
||17 || 0-11-27 || 1-12/7-9/7 || otonal ||
|-
||18 || 0-16-27 || 1-3/2-9/7 || utonal ||
| | 3
||19 || 0-24-27 || 1-11/6-9/7 || swetismic ||
| | 0-3-8
||20 || 0-3-30 || 1-7/5-9/5 || otonal ||
| | 1-7/5-11/9
||21 || 0-14-30 || 1-6/5-9/5 || otonal ||
| | werckismic
||22 || 0-16-30 || 1-3/2-9/5 || utonal ||
|-
||23 || 0-27-30 || 1-9/7-9/5 || utonal ||
| | 4
||24 || 0-2-32 || 1-5/4-9/8 || otonal ||
| | 0-5-8
||25 || 0-5-32 || 1-7/4-9/8 || otonal ||
| | 1-7/4-11/9
||26 || 0-8-32 || 1-11/9-9/8 || rastmic ||
| | werckismic
||27 || 0-16-32 || 1-3/2-9/8 || ambitonal ||
|-
||28 || 0-24-32 || 1-11/6-9/8 || rastmic ||
| | 5
||29 || 0-27-32 || 1-9/7-9/8 || utonal ||
| | 0-3-11
||30 || 0-30-32 || 1-9/5-9/8 || utonal ||
| | 1-7/5-12/7
||31 || 0-3-35 || 1-7/5-11/7 || werckismic ||
| | swetismic
||32 || 0-5-35 || 1-7/4-11/7 || werckismic ||
|-
||33 || 0-8-35 || 1-11/9-11/7 || utonal ||
| | 6
||34 || 0-11-35 || 1-12/7-11/7 || otonal ||
| | 0-8-11
||35 || 0-24-35 || 1-11/6-11/7 || utonal ||
| | 1-11/9-12/7
||36 || 0-27-35 || 1-9/7-11/7 || otonal ||
| | swetismic
||37 || 0-30-35 || 1-9/5-11/7 || werckismic ||
|-
||38 || 0-32-35 || 1-9/8-11/7 || werckismic ||
| | 7
||39 || 0-3-38 || 1-7/5-11/10 || otonal ||
| | 0-3-14
||40 || 0-8-38 || 1-11/9-11/10 || utonal ||
| | 1-7/5-6/5
||41 || 0-11-38 || 1-12/7-11/10 || swetismic ||
| | otonal
||42 || 0-14-38 || 1-6/5-11/10 || otonal ||
|-
||43 || 0-24-38 || 1-11/6-11/10 || utonal ||
| | 8
||44 || 0-27-38 || 1-9/7-11/10 || swetismic ||
| | 0-11-14
||45 || 0-30-38 || 1-9/5-11/10 || otonal ||
| | 1-12/7-6/5
||46 || 0-35-38 || 1-11/7-11/10 || utonal ||
| | utonal
||47 || 0-2-40 || 1-5/4-11/8 || otonal ||
|-
||48 || 0-5-40 || 1-7/4-11/8 || otonal ||
| | 9
||49 || 0-8-40 || 1-11/9-11/8 || utonal ||
| | 0-2-16
||50 || 0-16-40 || 1-3/2-11/8 || otonal ||
| | 1-5/4-3/2
||51 || 0-24-40 || 1-11/6-11/8 || utonal ||
| | otonal
||52 || 0-32-40 || 1-9/8-11/8 || otonal ||
|-
||53 || 0-35-40 || 1-11/7-11/8 || utonal ||
| | 10
||54 || 0-38-40 || 1-11/10-11/8 || utonal ||
| | 0-5-16
| | 1-7/4-3/2
| | otonal
|-
| | 11
| | 0-8-16
| | 1-11/9-3/2
| | rastmic
|-
| | 12
| | 0-11-16
| | 1-12/7-3/2
| | utonal
|-
| | 13
| | 0-14-16
| | 1-6/5-3/2
| | utonal
|-
| | 14
| | 0-8-24
| | 1-11/9-11/6
| | utonal
|-
| | 15
| | 0-16-24
| | 1-3/2-11/6
| | otonal
|-
| | 16
| | 0-3-27
| | 1-7/5-9/7
| | swetismic
|-
| | 17
| | 0-11-27
| | 1-12/7-9/7
| | otonal
|-
| | 18
| | 0-16-27
| | 1-3/2-9/7
| | utonal
|-
| | 19
| | 0-24-27
| | 1-11/6-9/7
| | swetismic
|-
| | 20
| | 0-3-30
| | 1-7/5-9/5
| | otonal
|-
| | 21
| | 0-14-30
| | 1-6/5-9/5
| | otonal
|-
| | 22
| | 0-16-30
| | 1-3/2-9/5
| | utonal
|-
| | 23
| | 0-27-30
| | 1-9/7-9/5
| | utonal
|-
| | 24
| | 0-2-32
| | 1-5/4-9/8
| | otonal
|-
| | 25
| | 0-5-32
| | 1-7/4-9/8
| | otonal
|-
| | 26
| | 0-8-32
| | 1-11/9-9/8
| | rastmic
|-
| | 27
| | 0-16-32
| | 1-3/2-9/8
| | ambitonal
|-
| | 28
| | 0-24-32
| | 1-11/6-9/8
| | rastmic
|-
| | 29
| | 0-27-32
| | 1-9/7-9/8
| | utonal
|-
| | 30
| | 0-30-32
| | 1-9/5-9/8
| | utonal
|-
| | 31
| | 0-3-35
| | 1-7/5-11/7
| | werckismic
|-
| | 32
| | 0-5-35
| | 1-7/4-11/7
| | werckismic
|-
| | 33
| | 0-8-35
| | 1-11/9-11/7
| | utonal
|-
| | 34
| | 0-11-35
| | 1-12/7-11/7
| | otonal
|-
| | 35
| | 0-24-35
| | 1-11/6-11/7
| | utonal
|-
| | 36
| | 0-27-35
| | 1-9/7-11/7
| | otonal
|-
| | 37
| | 0-30-35
| | 1-9/5-11/7
| | werckismic
|-
| | 38
| | 0-32-35
| | 1-9/8-11/7
| | werckismic
|-
| | 39
| | 0-3-38
| | 1-7/5-11/10
| | otonal
|-
| | 40
| | 0-8-38
| | 1-11/9-11/10
| | utonal
|-
| | 41
| | 0-11-38
| | 1-12/7-11/10
| | swetismic
|-
| | 42
| | 0-14-38
| | 1-6/5-11/10
| | otonal
|-
| | 43
| | 0-24-38
| | 1-11/6-11/10
| | utonal
|-
| | 44
| | 0-27-38
| | 1-9/7-11/10
| | swetismic
|-
| | 45
| | 0-30-38
| | 1-9/5-11/10
| | otonal
|-
| | 46
| | 0-35-38
| | 1-11/7-11/10
| | utonal
|-
| | 47
| | 0-2-40
| | 1-5/4-11/8
| | otonal
|-
| | 48
| | 0-5-40
| | 1-7/4-11/8
| | otonal
|-
| | 49
| | 0-8-40
| | 1-11/9-11/8
| | utonal
|-
| | 50
| | 0-16-40
| | 1-3/2-11/8
| | otonal
|-
| | 51
| | 0-24-40
| | 1-11/6-11/8
| | utonal
|-
| | 52
| | 0-32-40
| | 1-9/8-11/8
| | otonal
|-
| | 53
| | 0-35-40
| | 1-11/7-11/8
| | utonal
|-
| | 54
| | 0-38-40
| | 1-11/10-11/8
| | utonal
|}


=Tetrads=
=Tetrads=
|| Number || Chord || Transversal || Type ||
 
|| 1 || 0-3-5-8 || 1-7/5-7/4-11/9 || werckismic ||
{| class="wikitable"
|| 2 || 0-3-8-11 || 1-7/5-11/9-12/7 || jove ||
|-
|| 3 || 0-3-11-14 || 1-7/5-12/7-6/5 || swetismic ||
| | Number
|| 4 || 0-2-5-16 || 1-5/4-7/4-3/2 || otonal ||
| | Chord
|| 5 || 0-5-8-16 || 1-7/4-11/9-3/2 || jove ||
| | Transversal
|| 6 || 0-8-11-16 || 1-11/9-12/7-3/2 || jove ||
| | Type
|| 7 || 0-11-14-16 || 1-12/7-6/5-3/2 || utonal ||
|-
|| 8 || 0-8-16-24 || 1-11/9-3/2-11/6 || rastmic ||
| | 1
|| 9 || 0-3-11-27 || 1-7/5-12/7-9/7 || swetismic ||
| | 0-3-5-8
|| 10 || 0-11-16-27 || 1-12/7-3/2-9/7 || ambitonal ||
| | 1-7/5-7/4-11/9
|| 11 || 0-16-24-27 || 1-3/2-11/6-9/7 || swetismic ||
| | werckismic
|| 12 || 0-3-14-30 || 1-7/5-6/5-9/5 || otonal ||
|-
|| 13 || 0-14-16-30 || 1-6/5-3/2-9/5 || ambitonal ||
| | 2
|| 14 || 0-3-27-30 || 1-7/5-9/7-9/5 || swetismic ||
| | 0-3-8-11
|| 15 || 0-16-27-30 || 1-3/2-9/7-9/5 || utonal ||
| | 1-7/5-11/9-12/7
|| 16 || 0-2-5-32 || 1-5/4-7/4-9/8 || otonal ||
| | jove
|| 17 || 0-5-8-32 || 1-7/4-11/9-9/8 || jove ||
|-
|| 18 || 0-2-16-32 || 1-5/4-3/2-9/8 || otonal ||
| | 3
|| 19 || 0-5-16-32 || 1-7/4-3/2-9/8 || otonal ||
| | 0-3-11-14
|| 20 || 0-8-16-32 || 1-11/9-3/2-9/8 || rastmic ||
| | 1-7/5-12/7-6/5
|| 21 || 0-8-24-32 || 1-11/9-11/6-9/8 || rastmic ||
| | swetismic
|| 22 || 0-16-24-32 || 1-3/2-11/6-9/8 || rastmic ||
|-
|| 23 || 0-16-27-32 || 1-3/2-9/7-9/8 || utonal ||
| | 4
|| 24 || 0-24-27-32 || 1-11/6-9/7-9/8 || jove ||
| | 0-2-5-16
|| 25 || 0-16-30-32 || 1-3/2-9/5-9/8 || utonal ||
| | 1-5/4-7/4-3/2
|| 26 || 0-27-30-32 || 1-9/7-9/5-9/8 || utonal ||
| | otonal
|| 27 || 0-3-5-35 || 1-7/5-7/4-11/7 || werckismic ||
|-
|| 28 || 0-3-8-35 || 1-7/5-11/9-11/7 || werckismic ||
| | 5
|| 29 || 0-5-8-35 || 1-7/4-11/9-11/7 || werckismic ||
| | 0-5-8-16
|| 30 || 0-3-11-35 || 1-7/5-12/7-11/7 || jove ||
| | 1-7/4-11/9-3/2
|| 31 || 0-8-11-35 || 1-11/9-12/7-11/7 || swetismic ||
| | jove
|| 32 || 0-8-24-35 || 1-11/9-11/6-11/7 || utonal ||
|-
|| 33 || 0-3-27-35 || 1-7/5-9/7-11/7 || jove ||
| | 6
|| 34 || 0-11-27-35 || 1-12/7-9/7-11/7 || otonal ||
| | 0-8-11-16
|| 35 || 0-24-27-35 || 1-11/6-9/7-11/7 || swetismic ||
| | 1-11/9-12/7-3/2
|| 36 || 0-3-30-35 || 1-7/5-9/5-11/7 || werckismic ||
| | jove
|| 37 || 0-27-30-35 || 1-9/7-9/5-11/7 || werckismic ||
|-
|| 38 || 0-5-32-35 || 1-7/4-9/8-11/7 || werckismic ||
| | 7
|| 39 || 0-8-32-35 || 1-11/9-9/8-11/7 || jove ||
| | 0-11-14-16
|| 40 || 0-24-32-35 || 1-11/6-9/8-11/7 || jove ||
| | 1-12/7-6/5-3/2
|| 41 || 0-27-32-35 || 1-9/7-9/8-11/7 || werckismic ||
| | utonal
|| 42 || 0-30-32-35 || 1-9/5-9/8-11/7 || werckismic ||
|-
|| 43 || 0-3-8-38 || 1-7/5-11/9-11/10 || werckismic ||
| | 8
|| 44 || 0-3-11-38 || 1-7/5-12/7-11/10 || swetismic ||
| | 0-8-16-24
|| 45 || 0-8-11-38 || 1-11/9-12/7-11/10 || swetismic ||
| | 1-11/9-3/2-11/6
|| 46 || 0-3-14-38 || 1-7/5-6/5-11/10 || otonal ||
| | rastmic
|| 47 || 0-11-14-38 || 1-12/7-6/5-11/10 || swetismic ||
|-
|| 48 || 0-8-24-38 || 1-11/9-11/6-11/10 || utonal ||
| | 9
|| 49 || 0-3-27-38 || 1-7/5-9/7-11/10 || swetismic ||
| | 0-3-11-27
|| 50 || 0-11-27-38 || 1-12/7-9/7-11/10 || swetismic ||
| | 1-7/5-12/7-9/7
|| 51 || 0-24-27-38 || 1-11/6-9/7-11/10 || swetismic ||
| | swetismic
|| 52 || 0-3-30-38 || 1-7/5-9/5-11/10 || otonal ||
|-
|| 53 || 0-14-30-38 || 1-6/5-9/5-11/10 || otonal ||
| | 10
|| 54 || 0-27-30-38 || 1-9/7-9/5-11/10 || swetismic ||
| | 0-11-16-27
|| 55 || 0-3-35-38 || 1-7/5-11/7-11/10 || werckismic ||
| | 1-12/7-3/2-9/7
|| 56 || 0-8-35-38 || 1-11/9-11/7-11/10 || utonal ||
| | ambitonal
|| 57 || 0-11-35-38 || 1-12/7-11/7-11/10 || swetismic ||
|-
|| 58 || 0-24-35-38 || 1-11/6-11/7-11/10 || utonal ||
| | 11
|| 59 || 0-27-35-38 || 1-9/7-11/7-11/10 || swetismic ||
| | 0-16-24-27
|| 60 || 0-30-35-38 || 1-9/5-11/7-11/10 || werckismic ||
| | 1-3/2-11/6-9/7
|| 61 || 0-2-5-40 || 1-5/4-7/4-11/8 || otonal ||
| | swetismic
|| 62 || 0-5-8-40 || 1-7/4-11/9-11/8 || werckismic ||
|-
|| 63 || 0-2-16-40 || 1-5/4-3/2-11/8 || otonal ||
| | 12
|| 64 || 0-5-16-40 || 1-7/4-3/2-11/8 || otonal ||
| | 0-3-14-30
|| 65 || 0-8-16-40 || 1-11/9-3/2-11/8 || rastmic ||
| | 1-7/5-6/5-9/5
|| 66 || 0-8-24-40 || 1-11/9-11/6-11/8 || utonal ||
| | otonal
|| 67 || 0-16-24-40 || 1-3/2-11/6-11/8 || ambitonal ||
|-
|| 68 || 0-2-32-40 || 1-5/4-9/8-11/8 || otonal ||
| | 13
|| 69 || 0-5-32-40 || 1-7/4-9/8-11/8 || otonal ||
| | 0-14-16-30
|| 70 || 0-8-32-40 || 1-11/9-9/8-11/8 || rastmic ||
| | 1-6/5-3/2-9/5
|| 71 || 0-16-32-40 || 1-3/2-9/8-11/8 || otonal ||
| | ambitonal
|| 72 || 0-24-32-40 || 1-11/6-9/8-11/8 || rastmic ||
|-
|| 73 || 0-5-35-40 || 1-7/4-11/7-11/8 || werckismic ||
| | 14
|| 74 || 0-8-35-40 || 1-11/9-11/7-11/8 || utonal ||
| | 0-3-27-30
|| 75 || 0-24-35-40 || 1-11/6-11/7-11/8 || utonal ||
| | 1-7/5-9/7-9/5
|| 76 || 0-32-35-40 || 1-9/8-11/7-11/8 || werckismic ||
| | swetismic
|| 77 || 0-8-38-40 || 1-11/9-11/10-11/8 || utonal ||
|-
|| 78 || 0-24-38-40 || 1-11/6-11/10-11/8 || utonal ||
| | 15
|| 79 || 0-35-38-40 || 1-11/7-11/10-11/8 || utonal ||
| | 0-16-27-30
| | 1-3/2-9/7-9/5
| | utonal
|-
| | 16
| | 0-2-5-32
| | 1-5/4-7/4-9/8
| | otonal
|-
| | 17
| | 0-5-8-32
| | 1-7/4-11/9-9/8
| | jove
|-
| | 18
| | 0-2-16-32
| | 1-5/4-3/2-9/8
| | otonal
|-
| | 19
| | 0-5-16-32
| | 1-7/4-3/2-9/8
| | otonal
|-
| | 20
| | 0-8-16-32
| | 1-11/9-3/2-9/8
| | rastmic
|-
| | 21
| | 0-8-24-32
| | 1-11/9-11/6-9/8
| | rastmic
|-
| | 22
| | 0-16-24-32
| | 1-3/2-11/6-9/8
| | rastmic
|-
| | 23
| | 0-16-27-32
| | 1-3/2-9/7-9/8
| | utonal
|-
| | 24
| | 0-24-27-32
| | 1-11/6-9/7-9/8
| | jove
|-
| | 25
| | 0-16-30-32
| | 1-3/2-9/5-9/8
| | utonal
|-
| | 26
| | 0-27-30-32
| | 1-9/7-9/5-9/8
| | utonal
|-
| | 27
| | 0-3-5-35
| | 1-7/5-7/4-11/7
| | werckismic
|-
| | 28
| | 0-3-8-35
| | 1-7/5-11/9-11/7
| | werckismic
|-
| | 29
| | 0-5-8-35
| | 1-7/4-11/9-11/7
| | werckismic
|-
| | 30
| | 0-3-11-35
| | 1-7/5-12/7-11/7
| | jove
|-
| | 31
| | 0-8-11-35
| | 1-11/9-12/7-11/7
| | swetismic
|-
| | 32
| | 0-8-24-35
| | 1-11/9-11/6-11/7
| | utonal
|-
| | 33
| | 0-3-27-35
| | 1-7/5-9/7-11/7
| | jove
|-
| | 34
| | 0-11-27-35
| | 1-12/7-9/7-11/7
| | otonal
|-
| | 35
| | 0-24-27-35
| | 1-11/6-9/7-11/7
| | swetismic
|-
| | 36
| | 0-3-30-35
| | 1-7/5-9/5-11/7
| | werckismic
|-
| | 37
| | 0-27-30-35
| | 1-9/7-9/5-11/7
| | werckismic
|-
| | 38
| | 0-5-32-35
| | 1-7/4-9/8-11/7
| | werckismic
|-
| | 39
| | 0-8-32-35
| | 1-11/9-9/8-11/7
| | jove
|-
| | 40
| | 0-24-32-35
| | 1-11/6-9/8-11/7
| | jove
|-
| | 41
| | 0-27-32-35
| | 1-9/7-9/8-11/7
| | werckismic
|-
| | 42
| | 0-30-32-35
| | 1-9/5-9/8-11/7
| | werckismic
|-
| | 43
| | 0-3-8-38
| | 1-7/5-11/9-11/10
| | werckismic
|-
| | 44
| | 0-3-11-38
| | 1-7/5-12/7-11/10
| | swetismic
|-
| | 45
| | 0-8-11-38
| | 1-11/9-12/7-11/10
| | swetismic
|-
| | 46
| | 0-3-14-38
| | 1-7/5-6/5-11/10
| | otonal
|-
| | 47
| | 0-11-14-38
| | 1-12/7-6/5-11/10
| | swetismic
|-
| | 48
| | 0-8-24-38
| | 1-11/9-11/6-11/10
| | utonal
|-
| | 49
| | 0-3-27-38
| | 1-7/5-9/7-11/10
| | swetismic
|-
| | 50
| | 0-11-27-38
| | 1-12/7-9/7-11/10
| | swetismic
|-
| | 51
| | 0-24-27-38
| | 1-11/6-9/7-11/10
| | swetismic
|-
| | 52
| | 0-3-30-38
| | 1-7/5-9/5-11/10
| | otonal
|-
| | 53
| | 0-14-30-38
| | 1-6/5-9/5-11/10
| | otonal
|-
| | 54
| | 0-27-30-38
| | 1-9/7-9/5-11/10
| | swetismic
|-
| | 55
| | 0-3-35-38
| | 1-7/5-11/7-11/10
| | werckismic
|-
| | 56
| | 0-8-35-38
| | 1-11/9-11/7-11/10
| | utonal
|-
| | 57
| | 0-11-35-38
| | 1-12/7-11/7-11/10
| | swetismic
|-
| | 58
| | 0-24-35-38
| | 1-11/6-11/7-11/10
| | utonal
|-
| | 59
| | 0-27-35-38
| | 1-9/7-11/7-11/10
| | swetismic
|-
| | 60
| | 0-30-35-38
| | 1-9/5-11/7-11/10
| | werckismic
|-
| | 61
| | 0-2-5-40
| | 1-5/4-7/4-11/8
| | otonal
|-
| | 62
| | 0-5-8-40
| | 1-7/4-11/9-11/8
| | werckismic
|-
| | 63
| | 0-2-16-40
| | 1-5/4-3/2-11/8
| | otonal
|-
| | 64
| | 0-5-16-40
| | 1-7/4-3/2-11/8
| | otonal
|-
| | 65
| | 0-8-16-40
| | 1-11/9-3/2-11/8
| | rastmic
|-
| | 66
| | 0-8-24-40
| | 1-11/9-11/6-11/8
| | utonal
|-
| | 67
| | 0-16-24-40
| | 1-3/2-11/6-11/8
| | ambitonal
|-
| | 68
| | 0-2-32-40
| | 1-5/4-9/8-11/8
| | otonal
|-
| | 69
| | 0-5-32-40
| | 1-7/4-9/8-11/8
| | otonal
|-
| | 70
| | 0-8-32-40
| | 1-11/9-9/8-11/8
| | rastmic
|-
| | 71
| | 0-16-32-40
| | 1-3/2-9/8-11/8
| | otonal
|-
| | 72
| | 0-24-32-40
| | 1-11/6-9/8-11/8
| | rastmic
|-
| | 73
| | 0-5-35-40
| | 1-7/4-11/7-11/8
| | werckismic
|-
| | 74
| | 0-8-35-40
| | 1-11/9-11/7-11/8
| | utonal
|-
| | 75
| | 0-24-35-40
| | 1-11/6-11/7-11/8
| | utonal
|-
| | 76
| | 0-32-35-40
| | 1-9/8-11/7-11/8
| | werckismic
|-
| | 77
| | 0-8-38-40
| | 1-11/9-11/10-11/8
| | utonal
|-
| | 78
| | 0-24-38-40
| | 1-11/6-11/10-11/8
| | utonal
|-
| | 79
| | 0-35-38-40
| | 1-11/7-11/10-11/8
| | utonal
|}


=Pentads=
=Pentads=
|| Number || Chord || Transversal || Type ||
 
|| 1 || 0-2-5-16-32 || 1-5/4-7/4-3/2-9/8 || otonal ||
{| class="wikitable"
|| 2 || 0-5-8-16-32 || 1-7/4-11/9-3/2-9/8 || jove ||
|-
|| 3 || 0-8-16-24-32 || 1-11/9-3/2-11/6-9/8 || rastmic ||
| | Number
|| 4 || 0-16-24-27-32 || 1-3/2-11/6-9/7-9/8 || jove ||
| | Chord
|| 5 || 0-16-27-30-32 || 1-3/2-9/7-9/5-9/8 || utonal ||
| | Transversal
|| 6 || 0-3-5-8-35 || 1-7/5-7/4-11/9-11/7 || werckismic ||
| | Type
|| 7 || 0-3-8-11-35 || 1-7/5-11/9-12/7-11/7 || jove ||
|-
|| 8 || 0-3-11-27-35 || 1-7/5-12/7-9/7-11/7 || jove ||
| | 1
|| 9 || 0-3-27-30-35 || 1-7/5-9/7-9/5-11/7 || jove ||
| | 0-2-5-16-32
|| 10 || 0-5-8-32-35 || 1-7/4-11/9-9/8-11/7 || jove ||
| | 1-5/4-7/4-3/2-9/8
|| 11 || 0-8-24-32-35 || 1-11/9-11/6-9/8-11/7 || jove ||
| | otonal
|| 12 || 0-24-27-32-35 || 1-11/6-9/7-9/8-11/7 || jove ||
|-
|| 13 || 0-27-30-32-35 || 1-9/7-9/5-9/8-11/7 || werckismic ||
| | 2
|| 14 || 0-3-8-11-38 || 1-7/5-11/9-12/7-11/10 || jove ||
| | 0-5-8-16-32
|| 15 || 0-3-11-14-38 || 1-7/5-12/7-6/5-11/10 || swetismic ||
| | 1-7/4-11/9-3/2-9/8
|| 16 || 0-3-11-27-38 || 1-7/5-12/7-9/7-11/10 || swetismic ||
| | jove
|| 17 || 0-3-14-30-38 || 1-7/5-6/5-9/5-11/10 || otonal ||
|-
|| 18 || 0-3-27-30-38 || 1-7/5-9/7-9/5-11/10 || swetismic ||
| | 3
|| 19 || 0-3-8-35-38 || 1-7/5-11/9-11/7-11/10 || werckismic ||
| | 0-8-16-24-32
|| 20 || 0-3-11-35-38 || 1-7/5-12/7-11/7-11/10 || jove ||
| | 1-11/9-3/2-11/6-9/8
|| 21 || 0-8-11-35-38 || 1-11/9-12/7-11/7-11/10 || swetismic ||
| | rastmic
|| 22 || 0-8-24-35-38 || 1-11/9-11/6-11/7-11/10 || utonal ||
|-
|| 23 || 0-3-27-35-38 || 1-7/5-9/7-11/7-11/10 || jove ||
| | 4
|| 24 || 0-11-27-35-38 || 1-12/7-9/7-11/7-11/10 || swetismic ||
| | 0-16-24-27-32
|| 25 || 0-24-27-35-38 || 1-11/6-9/7-11/7-11/10 || swetismic ||
| | 1-3/2-11/6-9/7-9/8
|| 26 || 0-3-30-35-38 || 1-7/5-9/5-11/7-11/10 || werckismic ||
| | jove
|| 27 || 0-27-30-35-38 || 1-9/7-9/5-11/7-11/10 || jove ||
|-
|| 28 || 0-2-5-16-40 || 1-5/4-7/4-3/2-11/8 || otonal ||
| | 5
|| 29 || 0-5-8-16-40 || 1-7/4-11/9-3/2-11/8 || jove ||
| | 0-16-27-30-32
|| 30 || 0-8-16-24-40 || 1-11/9-3/2-11/6-11/8 || rastmic ||
| | 1-3/2-9/7-9/5-9/8
|| 31 || 0-2-5-32-40 || 1-5/4-7/4-9/8-11/8 || otonal ||
| | utonal
|| 32 || 0-5-8-32-40 || 1-7/4-11/9-9/8-11/8 || jove ||
|-
|| 33 || 0-2-16-32-40 || 1-5/4-3/2-9/8-11/8 || otonal ||
| | 6
|| 34 || 0-5-16-32-40 || 1-7/4-3/2-9/8-11/8 || otonal ||
| | 0-3-5-8-35
|| 35 || 0-8-16-32-40 || 1-11/9-3/2-9/8-11/8 || rastmic ||
| | 1-7/5-7/4-11/9-11/7
|| 36 || 0-8-24-32-40 || 1-11/9-11/6-9/8-11/8 || rastmic ||
| | werckismic
|| 37 || 0-16-24-32-40 || 1-3/2-11/6-9/8-11/8 || rastmic ||
|-
|| 38 || 0-5-8-35-40 || 1-7/4-11/9-11/7-11/8 || werckismic ||
| | 7
|| 39 || 0-8-24-35-40 || 1-11/9-11/6-11/7-11/8 || utonal ||
| | 0-3-8-11-35
|| 40 || 0-5-32-35-40 || 1-7/4-9/8-11/7-11/8 || werckismic ||
| | 1-7/5-11/9-12/7-11/7
|| 41 || 0-8-32-35-40 || 1-11/9-9/8-11/7-11/8 || jove ||
| | jove
|| 42 || 0-24-32-35-40 || 1-11/6-9/8-11/7-11/8 || jove ||
|-
|| 43 || 0-8-24-38-40 || 1-11/9-11/6-11/10-11/8 || utonal ||
| | 8
|| 44 || 0-8-35-38-40 || 1-11/9-11/7-11/10-11/8 || utonal ||
| | 0-3-11-27-35
|| 45 || 0-24-35-38-40 || 1-11/6-11/7-11/10-11/8 || utonal ||
| | 1-7/5-12/7-9/7-11/7
| | jove
|-
| | 9
| | 0-3-27-30-35
| | 1-7/5-9/7-9/5-11/7
| | jove
|-
| | 10
| | 0-5-8-32-35
| | 1-7/4-11/9-9/8-11/7
| | jove
|-
| | 11
| | 0-8-24-32-35
| | 1-11/9-11/6-9/8-11/7
| | jove
|-
| | 12
| | 0-24-27-32-35
| | 1-11/6-9/7-9/8-11/7
| | jove
|-
| | 13
| | 0-27-30-32-35
| | 1-9/7-9/5-9/8-11/7
| | werckismic
|-
| | 14
| | 0-3-8-11-38
| | 1-7/5-11/9-12/7-11/10
| | jove
|-
| | 15
| | 0-3-11-14-38
| | 1-7/5-12/7-6/5-11/10
| | swetismic
|-
| | 16
| | 0-3-11-27-38
| | 1-7/5-12/7-9/7-11/10
| | swetismic
|-
| | 17
| | 0-3-14-30-38
| | 1-7/5-6/5-9/5-11/10
| | otonal
|-
| | 18
| | 0-3-27-30-38
| | 1-7/5-9/7-9/5-11/10
| | swetismic
|-
| | 19
| | 0-3-8-35-38
| | 1-7/5-11/9-11/7-11/10
| | werckismic
|-
| | 20
| | 0-3-11-35-38
| | 1-7/5-12/7-11/7-11/10
| | jove
|-
| | 21
| | 0-8-11-35-38
| | 1-11/9-12/7-11/7-11/10
| | swetismic
|-
| | 22
| | 0-8-24-35-38
| | 1-11/9-11/6-11/7-11/10
| | utonal
|-
| | 23
| | 0-3-27-35-38
| | 1-7/5-9/7-11/7-11/10
| | jove
|-
| | 24
| | 0-11-27-35-38
| | 1-12/7-9/7-11/7-11/10
| | swetismic
|-
| | 25
| | 0-24-27-35-38
| | 1-11/6-9/7-11/7-11/10
| | swetismic
|-
| | 26
| | 0-3-30-35-38
| | 1-7/5-9/5-11/7-11/10
| | werckismic
|-
| | 27
| | 0-27-30-35-38
| | 1-9/7-9/5-11/7-11/10
| | jove
|-
| | 28
| | 0-2-5-16-40
| | 1-5/4-7/4-3/2-11/8
| | otonal
|-
| | 29
| | 0-5-8-16-40
| | 1-7/4-11/9-3/2-11/8
| | jove
|-
| | 30
| | 0-8-16-24-40
| | 1-11/9-3/2-11/6-11/8
| | rastmic
|-
| | 31
| | 0-2-5-32-40
| | 1-5/4-7/4-9/8-11/8
| | otonal
|-
| | 32
| | 0-5-8-32-40
| | 1-7/4-11/9-9/8-11/8
| | jove
|-
| | 33
| | 0-2-16-32-40
| | 1-5/4-3/2-9/8-11/8
| | otonal
|-
| | 34
| | 0-5-16-32-40
| | 1-7/4-3/2-9/8-11/8
| | otonal
|-
| | 35
| | 0-8-16-32-40
| | 1-11/9-3/2-9/8-11/8
| | rastmic
|-
| | 36
| | 0-8-24-32-40
| | 1-11/9-11/6-9/8-11/8
| | rastmic
|-
| | 37
| | 0-16-24-32-40
| | 1-3/2-11/6-9/8-11/8
| | rastmic
|-
| | 38
| | 0-5-8-35-40
| | 1-7/4-11/9-11/7-11/8
| | werckismic
|-
| | 39
| | 0-8-24-35-40
| | 1-11/9-11/6-11/7-11/8
| | utonal
|-
| | 40
| | 0-5-32-35-40
| | 1-7/4-9/8-11/7-11/8
| | werckismic
|-
| | 41
| | 0-8-32-35-40
| | 1-11/9-9/8-11/7-11/8
| | jove
|-
| | 42
| | 0-24-32-35-40
| | 1-11/6-9/8-11/7-11/8
| | jove
|-
| | 43
| | 0-8-24-38-40
| | 1-11/9-11/6-11/10-11/8
| | utonal
|-
| | 44
| | 0-8-35-38-40
| | 1-11/9-11/7-11/10-11/8
| | utonal
|-
| | 45
| | 0-24-35-38-40
| | 1-11/6-11/7-11/10-11/8
| | utonal
|}


=Hexads=
=Hexads=
|| Number || Chord || Transversal || Type ||
|| 1 || 0-3-8-11-35-38 || 1-7/5-11/9-12/7-11/7-11/10 || jove ||
|| 2 || 0-3-11-27-35-38 || 1-7/5-12/7-9/7-11/7-11/10 || jove ||
|| 3 || 0-3-27-30-35-38 || 1-7/5-9/7-9/5-11/7-11/10 || jove ||
|| 4 || 0-2-5-16-32-40 || 1-5/4-7/4-3/2-9/8-11/8 || otonal ||
|| 5 || 0-5-8-16-32-40 || 1-7/4-11/9-3/2-9/8-11/8 || jove ||
|| 6 || 0-8-16-24-32-40 || 1-11/9-3/2-11/6-9/8-11/8 || rastmic ||
|| 7 || 0-5-8-32-35-40 || 1-7/4-11/9-9/8-11/7-11/8 || jove ||
|| 8 || 0-8-24-32-35-40 || 1-11/9-11/6-9/8-11/7-11/8 || jove ||
|| 9 || 0-8-24-35-38-40 || 1-11/9-11/6-11/7-11/10-11/8 || utonal ||
</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chords of hemiwürschmidt&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="/W%C3%BCrschmidt%20family#Hemiwürschmidt"&gt;hemiwürschmidt temperament&lt;/a&gt;. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 540/539 are swetismic, by 441/440 werckismic, and by 243/242 rastmic. Chords requiring any two of the above are labeled jove.&lt;br /&gt;
&lt;br /&gt;
Hemiwürschmidt has MOS of size 6, 7, 13, 19, 25, 31, 37 and 68. The largest chords on these lists have complexity 40, and so would require the 68 note MOS. However, it will be observed that much smaller MOS still have quite a few chords.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Triads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Triads&lt;/h1&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-7/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-14-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-11/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-14-30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-30-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-30-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-32-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-14-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-30-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-35-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-38-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/10-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Tetrads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Tetrads&lt;/h1&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-7/4-11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/9-12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-11-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/7-6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/4-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/9-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-11-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-12/7-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-14-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-6/5-3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-16-24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-3/2-11/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-11-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/7-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-16-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-3/2-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-24-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-11/6-9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-14-30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-6/5-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-14-16-30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-3/2-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-27-30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-27-30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/7-9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/4-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/9-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-16-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-16-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-16-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-24-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-24-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-11/6-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-27-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/7-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-27-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/7-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-30-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-30-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-7/4-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/9-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/9-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-11-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-11-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-12/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-24-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-27-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-27-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-9/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-27-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-30-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/5-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-30-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/5-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-32-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-32-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-32-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-32-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-30-32-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/9-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-11-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-11-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-12/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-14-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-6/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-14-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-6/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-24-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-27-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-27-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-9/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-27-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-30-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-14-30-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6/5-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-30-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;55&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;59&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-30-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/5-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/4-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;62&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/9-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;63&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-16-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;64&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-16-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-3/2-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-16-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-3/2-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;66&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-24-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;67&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-24-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-11/6-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ambitonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;68&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;71&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;73&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-35-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;74&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-35-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;75&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-35-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-11/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;76&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-32-35-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/8-11/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;77&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-38-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/10-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;78&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-38-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-11/10-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;79&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-35-38-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/7-11/10-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Pentads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pentads&lt;/h1&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-16-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/4-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-16-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/9-3/2-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-16-24-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-3/2-11/6-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-24-27-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-11/6-9/7-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-27-30-32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-9/7-9/5-9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-5-8-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-7/4-11/9-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-11-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/9-12/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-11-27-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/7-9/7-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-27-30-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/7-9/5-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-32-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/9-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-24-32-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-27-32-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/7-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-30-32-35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/5-9/8-11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-11-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/9-12/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-11-14-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/7-6/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-11-27-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/7-9/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-14-30-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-6/5-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-27-30-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/7-9/5-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/9-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-11-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-11-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-12/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-24-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-27-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-11-27-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12/7-9/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-27-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;swetismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-30-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/5-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-27-30-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9/7-9/5-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-16-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/4-3/2-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-16-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/9-3/2-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-16-24-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-3/2-11/6-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/4-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/9-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-16-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-3/2-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-16-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-3/2-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-16-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-3/2-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-24-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-16-24-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3/2-11/6-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-35-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/9-11/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-24-35-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-11/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-32-35-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-9/8-11/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;werckismic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-32-35-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-9/8-11/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-32-35-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-9/8-11/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-24-38-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-11/10-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-35-38-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/7-11/10-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-24-35-38-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/6-11/7-11/10-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Hexads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Hexads&lt;/h1&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;Number&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chord&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Transversal&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Type&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-8-11-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-11/9-12/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-11-27-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-12/7-9/7-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-3-27-30-35-38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/5-9/7-9/5-11/7-11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-2-5-16-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5/4-7/4-3/2-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;otonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-16-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/9-3/2-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-16-24-32-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-3/2-11/6-9/8-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;rastmic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-5-8-32-35-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7/4-11/9-9/8-11/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-24-32-35-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-9/8-11/7-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;jove&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-8-24-35-38-40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11/9-11/6-11/7-11/10-11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;utonal&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
{| class="wikitable"
|-
| | Number
| | Chord
| | Transversal
| | Type
|-
| | 1
| | 0-3-8-11-35-38
| | 1-7/5-11/9-12/7-11/7-11/10
| | jove
|-
| | 2
| | 0-3-11-27-35-38
| | 1-7/5-12/7-9/7-11/7-11/10
| | jove
|-
| | 3
| | 0-3-27-30-35-38
| | 1-7/5-9/7-9/5-11/7-11/10
| | jove
|-
| | 4
| | 0-2-5-16-32-40
| | 1-5/4-7/4-3/2-9/8-11/8
| | otonal
|-
| | 5
| | 0-5-8-16-32-40
| | 1-7/4-11/9-3/2-9/8-11/8
| | jove
|-
| | 6
| | 0-8-16-24-32-40
| | 1-11/9-3/2-11/6-9/8-11/8
| | rastmic
|-
| | 7
| | 0-5-8-32-35-40
| | 1-7/4-11/9-9/8-11/7-11/8
| | jove
|-
| | 8
| | 0-8-24-32-35-40
| | 1-11/9-11/6-9/8-11/7-11/8
| | jove
|-
| | 9
| | 0-8-24-35-38-40
| | 1-11/9-11/6-11/7-11/10-11/8
| | utonal
|}
[[Category:Lists of chords]]
[[Category:Dyadic chords]]
[[Category:11-limit]]
[[Category:Hemiwürschmidt]]

Latest revision as of 05:58, 31 October 2024

Below are listed the dyadic chords of 11-limit hemiwürschmidt temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 540/539 are swetismic, by 441/440 werckismic, and by 243/242 rastmic. Chords requiring any two of the above are labeled jove.

Hemiwürschmidt has MOS of size 6, 7, 13, 19, 25, 31, 37 and 68. The largest chords on these lists have complexity 40, and so would require the 68 note MOS. However, it will be observed that much smaller MOS still have quite a few chords.

Triads

Number Chord Transversal Type
1 0-2-5 1-5/4-7/4 otonal
2 0-3-5 1-7/5-7/4 utonal
3 0-3-8 1-7/5-11/9 werckismic
4 0-5-8 1-7/4-11/9 werckismic
5 0-3-11 1-7/5-12/7 swetismic
6 0-8-11 1-11/9-12/7 swetismic
7 0-3-14 1-7/5-6/5 otonal
8 0-11-14 1-12/7-6/5 utonal
9 0-2-16 1-5/4-3/2 otonal
10 0-5-16 1-7/4-3/2 otonal
11 0-8-16 1-11/9-3/2 rastmic
12 0-11-16 1-12/7-3/2 utonal
13 0-14-16 1-6/5-3/2 utonal
14 0-8-24 1-11/9-11/6 utonal
15 0-16-24 1-3/2-11/6 otonal
16 0-3-27 1-7/5-9/7 swetismic
17 0-11-27 1-12/7-9/7 otonal
18 0-16-27 1-3/2-9/7 utonal
19 0-24-27 1-11/6-9/7 swetismic
20 0-3-30 1-7/5-9/5 otonal
21 0-14-30 1-6/5-9/5 otonal
22 0-16-30 1-3/2-9/5 utonal
23 0-27-30 1-9/7-9/5 utonal
24 0-2-32 1-5/4-9/8 otonal
25 0-5-32 1-7/4-9/8 otonal
26 0-8-32 1-11/9-9/8 rastmic
27 0-16-32 1-3/2-9/8 ambitonal
28 0-24-32 1-11/6-9/8 rastmic
29 0-27-32 1-9/7-9/8 utonal
30 0-30-32 1-9/5-9/8 utonal
31 0-3-35 1-7/5-11/7 werckismic
32 0-5-35 1-7/4-11/7 werckismic
33 0-8-35 1-11/9-11/7 utonal
34 0-11-35 1-12/7-11/7 otonal
35 0-24-35 1-11/6-11/7 utonal
36 0-27-35 1-9/7-11/7 otonal
37 0-30-35 1-9/5-11/7 werckismic
38 0-32-35 1-9/8-11/7 werckismic
39 0-3-38 1-7/5-11/10 otonal
40 0-8-38 1-11/9-11/10 utonal
41 0-11-38 1-12/7-11/10 swetismic
42 0-14-38 1-6/5-11/10 otonal
43 0-24-38 1-11/6-11/10 utonal
44 0-27-38 1-9/7-11/10 swetismic
45 0-30-38 1-9/5-11/10 otonal
46 0-35-38 1-11/7-11/10 utonal
47 0-2-40 1-5/4-11/8 otonal
48 0-5-40 1-7/4-11/8 otonal
49 0-8-40 1-11/9-11/8 utonal
50 0-16-40 1-3/2-11/8 otonal
51 0-24-40 1-11/6-11/8 utonal
52 0-32-40 1-9/8-11/8 otonal
53 0-35-40 1-11/7-11/8 utonal
54 0-38-40 1-11/10-11/8 utonal

Tetrads

Number Chord Transversal Type
1 0-3-5-8 1-7/5-7/4-11/9 werckismic
2 0-3-8-11 1-7/5-11/9-12/7 jove
3 0-3-11-14 1-7/5-12/7-6/5 swetismic
4 0-2-5-16 1-5/4-7/4-3/2 otonal
5 0-5-8-16 1-7/4-11/9-3/2 jove
6 0-8-11-16 1-11/9-12/7-3/2 jove
7 0-11-14-16 1-12/7-6/5-3/2 utonal
8 0-8-16-24 1-11/9-3/2-11/6 rastmic
9 0-3-11-27 1-7/5-12/7-9/7 swetismic
10 0-11-16-27 1-12/7-3/2-9/7 ambitonal
11 0-16-24-27 1-3/2-11/6-9/7 swetismic
12 0-3-14-30 1-7/5-6/5-9/5 otonal
13 0-14-16-30 1-6/5-3/2-9/5 ambitonal
14 0-3-27-30 1-7/5-9/7-9/5 swetismic
15 0-16-27-30 1-3/2-9/7-9/5 utonal
16 0-2-5-32 1-5/4-7/4-9/8 otonal
17 0-5-8-32 1-7/4-11/9-9/8 jove
18 0-2-16-32 1-5/4-3/2-9/8 otonal
19 0-5-16-32 1-7/4-3/2-9/8 otonal
20 0-8-16-32 1-11/9-3/2-9/8 rastmic
21 0-8-24-32 1-11/9-11/6-9/8 rastmic
22 0-16-24-32 1-3/2-11/6-9/8 rastmic
23 0-16-27-32 1-3/2-9/7-9/8 utonal
24 0-24-27-32 1-11/6-9/7-9/8 jove
25 0-16-30-32 1-3/2-9/5-9/8 utonal
26 0-27-30-32 1-9/7-9/5-9/8 utonal
27 0-3-5-35 1-7/5-7/4-11/7 werckismic
28 0-3-8-35 1-7/5-11/9-11/7 werckismic
29 0-5-8-35 1-7/4-11/9-11/7 werckismic
30 0-3-11-35 1-7/5-12/7-11/7 jove
31 0-8-11-35 1-11/9-12/7-11/7 swetismic
32 0-8-24-35 1-11/9-11/6-11/7 utonal
33 0-3-27-35 1-7/5-9/7-11/7 jove
34 0-11-27-35 1-12/7-9/7-11/7 otonal
35 0-24-27-35 1-11/6-9/7-11/7 swetismic
36 0-3-30-35 1-7/5-9/5-11/7 werckismic
37 0-27-30-35 1-9/7-9/5-11/7 werckismic
38 0-5-32-35 1-7/4-9/8-11/7 werckismic
39 0-8-32-35 1-11/9-9/8-11/7 jove
40 0-24-32-35 1-11/6-9/8-11/7 jove
41 0-27-32-35 1-9/7-9/8-11/7 werckismic
42 0-30-32-35 1-9/5-9/8-11/7 werckismic
43 0-3-8-38 1-7/5-11/9-11/10 werckismic
44 0-3-11-38 1-7/5-12/7-11/10 swetismic
45 0-8-11-38 1-11/9-12/7-11/10 swetismic
46 0-3-14-38 1-7/5-6/5-11/10 otonal
47 0-11-14-38 1-12/7-6/5-11/10 swetismic
48 0-8-24-38 1-11/9-11/6-11/10 utonal
49 0-3-27-38 1-7/5-9/7-11/10 swetismic
50 0-11-27-38 1-12/7-9/7-11/10 swetismic
51 0-24-27-38 1-11/6-9/7-11/10 swetismic
52 0-3-30-38 1-7/5-9/5-11/10 otonal
53 0-14-30-38 1-6/5-9/5-11/10 otonal
54 0-27-30-38 1-9/7-9/5-11/10 swetismic
55 0-3-35-38 1-7/5-11/7-11/10 werckismic
56 0-8-35-38 1-11/9-11/7-11/10 utonal
57 0-11-35-38 1-12/7-11/7-11/10 swetismic
58 0-24-35-38 1-11/6-11/7-11/10 utonal
59 0-27-35-38 1-9/7-11/7-11/10 swetismic
60 0-30-35-38 1-9/5-11/7-11/10 werckismic
61 0-2-5-40 1-5/4-7/4-11/8 otonal
62 0-5-8-40 1-7/4-11/9-11/8 werckismic
63 0-2-16-40 1-5/4-3/2-11/8 otonal
64 0-5-16-40 1-7/4-3/2-11/8 otonal
65 0-8-16-40 1-11/9-3/2-11/8 rastmic
66 0-8-24-40 1-11/9-11/6-11/8 utonal
67 0-16-24-40 1-3/2-11/6-11/8 ambitonal
68 0-2-32-40 1-5/4-9/8-11/8 otonal
69 0-5-32-40 1-7/4-9/8-11/8 otonal
70 0-8-32-40 1-11/9-9/8-11/8 rastmic
71 0-16-32-40 1-3/2-9/8-11/8 otonal
72 0-24-32-40 1-11/6-9/8-11/8 rastmic
73 0-5-35-40 1-7/4-11/7-11/8 werckismic
74 0-8-35-40 1-11/9-11/7-11/8 utonal
75 0-24-35-40 1-11/6-11/7-11/8 utonal
76 0-32-35-40 1-9/8-11/7-11/8 werckismic
77 0-8-38-40 1-11/9-11/10-11/8 utonal
78 0-24-38-40 1-11/6-11/10-11/8 utonal
79 0-35-38-40 1-11/7-11/10-11/8 utonal

Pentads

Number Chord Transversal Type
1 0-2-5-16-32 1-5/4-7/4-3/2-9/8 otonal
2 0-5-8-16-32 1-7/4-11/9-3/2-9/8 jove
3 0-8-16-24-32 1-11/9-3/2-11/6-9/8 rastmic
4 0-16-24-27-32 1-3/2-11/6-9/7-9/8 jove
5 0-16-27-30-32 1-3/2-9/7-9/5-9/8 utonal
6 0-3-5-8-35 1-7/5-7/4-11/9-11/7 werckismic
7 0-3-8-11-35 1-7/5-11/9-12/7-11/7 jove
8 0-3-11-27-35 1-7/5-12/7-9/7-11/7 jove
9 0-3-27-30-35 1-7/5-9/7-9/5-11/7 jove
10 0-5-8-32-35 1-7/4-11/9-9/8-11/7 jove
11 0-8-24-32-35 1-11/9-11/6-9/8-11/7 jove
12 0-24-27-32-35 1-11/6-9/7-9/8-11/7 jove
13 0-27-30-32-35 1-9/7-9/5-9/8-11/7 werckismic
14 0-3-8-11-38 1-7/5-11/9-12/7-11/10 jove
15 0-3-11-14-38 1-7/5-12/7-6/5-11/10 swetismic
16 0-3-11-27-38 1-7/5-12/7-9/7-11/10 swetismic
17 0-3-14-30-38 1-7/5-6/5-9/5-11/10 otonal
18 0-3-27-30-38 1-7/5-9/7-9/5-11/10 swetismic
19 0-3-8-35-38 1-7/5-11/9-11/7-11/10 werckismic
20 0-3-11-35-38 1-7/5-12/7-11/7-11/10 jove
21 0-8-11-35-38 1-11/9-12/7-11/7-11/10 swetismic
22 0-8-24-35-38 1-11/9-11/6-11/7-11/10 utonal
23 0-3-27-35-38 1-7/5-9/7-11/7-11/10 jove
24 0-11-27-35-38 1-12/7-9/7-11/7-11/10 swetismic
25 0-24-27-35-38 1-11/6-9/7-11/7-11/10 swetismic
26 0-3-30-35-38 1-7/5-9/5-11/7-11/10 werckismic
27 0-27-30-35-38 1-9/7-9/5-11/7-11/10 jove
28 0-2-5-16-40 1-5/4-7/4-3/2-11/8 otonal
29 0-5-8-16-40 1-7/4-11/9-3/2-11/8 jove
30 0-8-16-24-40 1-11/9-3/2-11/6-11/8 rastmic
31 0-2-5-32-40 1-5/4-7/4-9/8-11/8 otonal
32 0-5-8-32-40 1-7/4-11/9-9/8-11/8 jove
33 0-2-16-32-40 1-5/4-3/2-9/8-11/8 otonal
34 0-5-16-32-40 1-7/4-3/2-9/8-11/8 otonal
35 0-8-16-32-40 1-11/9-3/2-9/8-11/8 rastmic
36 0-8-24-32-40 1-11/9-11/6-9/8-11/8 rastmic
37 0-16-24-32-40 1-3/2-11/6-9/8-11/8 rastmic
38 0-5-8-35-40 1-7/4-11/9-11/7-11/8 werckismic
39 0-8-24-35-40 1-11/9-11/6-11/7-11/8 utonal
40 0-5-32-35-40 1-7/4-9/8-11/7-11/8 werckismic
41 0-8-32-35-40 1-11/9-9/8-11/7-11/8 jove
42 0-24-32-35-40 1-11/6-9/8-11/7-11/8 jove
43 0-8-24-38-40 1-11/9-11/6-11/10-11/8 utonal
44 0-8-35-38-40 1-11/9-11/7-11/10-11/8 utonal
45 0-24-35-38-40 1-11/6-11/7-11/10-11/8 utonal

Hexads

Number Chord Transversal Type
1 0-3-8-11-35-38 1-7/5-11/9-12/7-11/7-11/10 jove
2 0-3-11-27-35-38 1-7/5-12/7-9/7-11/7-11/10 jove
3 0-3-27-30-35-38 1-7/5-9/7-9/5-11/7-11/10 jove
4 0-2-5-16-32-40 1-5/4-7/4-3/2-9/8-11/8 otonal
5 0-5-8-16-32-40 1-7/4-11/9-3/2-9/8-11/8 jove
6 0-8-16-24-32-40 1-11/9-3/2-11/6-9/8-11/8 rastmic
7 0-5-8-32-35-40 1-7/4-11/9-9/8-11/7-11/8 jove
8 0-8-24-32-35-40 1-11/9-11/6-9/8-11/7-11/8 jove
9 0-8-24-35-38-40 1-11/9-11/6-11/7-11/10-11/8 utonal