Valentine/Chords: Difference between revisions

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Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Starling_temperaments#Valentine temperament-11-limit|valentine temperament]]. Typing the chords requires consideration of the fact that valentine conflates 12/11 and 11/10 and so also 11/6 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 11/10 and 20/11.
Below are listed the [[11-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[valentine]] temperament. Typing the chords requires consideration of the fact that valentine conflates 12/11 and 11/10 and so also 11/6 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 11/10 and 11/6.  


If only 126/125 needs to be tempered out, the chord is labeled starling, if 121/120, biyatismic, if 176/175, valinorsmic, if 385/384, keenanismic, and if 441/440, werckismic. Chords which require any two of 121/120, 176/175 or 385/384 are labeled zeus, if they require any two of 126/125, 176/175 or 441/440, they are labeled thrush. Finally, if they require any three independent commas among those discussed above, it is labeled valentine.
If only [[126/125]] needs to be tempered out, the chord is labeled [[starling chords|starling]], if [[121/120]], [[biyatismic chords|biyatismic]], if [[176/175]], [[valinorsmic chords|valinorsmic]], if [[385/384]], [[keenanismic chords|keenanismic]], and if [[441/440]], [[werckismic chords|werckismic]]. Chords which require any two of 121/120, 176/175 or 385/384 are labeled [[zeus chords|zeus]], if they require any two of 126/125, 176/175 or 441/440, they are labeled [[thrush chords|thrush]]. Finally, if they require any three independent commas among those discussed above, it is labeled [[valentine chords|valentine]].


Valentine has MOS of size 15, 16, 31 and 46. It is readily observed from the list below that even the smallest of these is well-supplied with chords. Because [[Carlos_Alpha|Carlos Alpha]] is the generator chain of valentine in the tuning with pure 3/2's, the list below is also a list of chords of Carlos Alpha, so long as the transversals are adjusted so that the notes are in the correct octave. This means that a number in a chord listed under "chord" less than 16 corresponds to a note in the transversal which should be left unaltered, whereas the notes from 16 to 21 correspond to transversal notes which should be adjusted up an octave. Hence, tetrad 8, the 0-2-5-9 chord with transversal 1-6/5-11/8-3/2, is an essentially zeus chord of Carlos Alpha as well as valentine. On the other hand, tetrad 76, 0-10-13-18 with transversal 1-11/7-9/5-9/8, corresponds to the werckismic 1-11/7-9/5-9/4 chord of Carlos Alpha.
Valentine has [[mos scale]]s of size 15, 16, 31 and 46. It is readily observed from the list below that even the smallest of these is well-supplied with chords.  
 
== Relationship to Carlos Alpha ==
Because [[Carlos Alpha]] is the generator chain of valentine, the list below is also a list of chords of Carlos Alpha, so long as the transversals are adjusted so that the notes are in the correct octave. This means that a number in a chord listed under "chord" less than 16 corresponds to a note in the transversal which should be left unaltered, whereas the notes from 16 to 21 correspond to transversal notes which should be adjusted up an octave. Hence, tetrad 8, the 0–2–5–9 chord with transversal 1–6/5–11/8–3/2, is an essentially zeus chord of Carlos Alpha as well as valentine. On the other hand, tetrad 76, 0–10–13–18 with transversal 1–11/7–9/5–9/8, corresponds to the werckismic 1–11/7–9/5–9/4 chord of Carlos Alpha.


In other words, each chord here has an unlimited number of "voicings" in valentine temperament, but exactly one voicing in Carlos Alpha, because there are no octaves.
In other words, each chord here has an unlimited number of "voicings" in valentine temperament, but exactly one voicing in Carlos Alpha, because there are no octaves.


=Triads=
== Chord ordering ==
The chords are ordered by generator steps. This chord ordering is useful because you can tell how often it will occur in a scale of valentine.
 
Example 1: Triad #13 is generators 0–5–9 and is a traditional five-limit major chord, [[4:5:6|1–5/4–3/2]]. It occurs for the first time on the ninth generation, and will therefore occur six times in Valentine[15] (because {{nowrap| 15 - 9 {{=}} 6 }}).
 
Example 2: Triad #38 is generators 0–8–13, which is 1–5/4–7/5, occurs for the first time on the thirteenth generation, and therefore appears only twice in Valentine[15] (because {{nowrap| 15 - 13 {{=}} 2 }}).
 
Each of the triads generated has three inversions, i.e., can be written starting on any one of the three tones in the triad. Traditional music theory uses a traditional chord, e.g., the major triad, as the basis for the other two inversions. In this list, that place is taken by the chord that gets generated after a certain number of generator steps is taken to reach the tones needed for the chord. This ordering makes it easy to see how often it will occur in a given mos, as noted in the examples above, but it may seem surprising if you are new to it: for example, triad #8 is 1–8/7–10/7, but it might seem more "natural" to use 1–5/4–7/4, which is listed as the second inversion. The same type of thinking goes into the list of tetrads, pentads, and hexads.
 
Note that, unlike in traditional music theory, there is nothing canonical, key-centric, harmonically relevant, or otherwise musically important about these orderings and inversions. It is just how the math works out.


{| class="wikitable"
== Triads ==
{| class="wikitable center-1"
|-
! #
! Chord
! Transversal
! Type
! As generated
! 1st inversion
! 2nd inversion
|-
|-
| | Number
| | Chord
| | Transversal
| | Type
|-
|-
| | 1
| 1
| | 0-2-4
| 0-2-4
| | 1-11/10-6/5
| 1-11/10-6/5
| | otonal
| otonal
| 1/1-11/10-6/5
| 1/1-11/10-11/6
| 1/1-5/3-11/6
|-
|-
| | 2
| 2
| | 0-2-5
| 0-2-5
| | 1-11/10-5/4
| 1-11/10-5/4
| | valinorsmic
| valinorsmic
| 1/1-11/10-5/4
| 1/1-8/7-11/6
| 1/1-8/5-7/4
|-
|-
| | 3
| 3
| | 0-3-5
| 0-3-5
| | 1-8/7-5/4
| 1-8/7-5/4
| | valinorsmic
| valinorsmic
| 1/1-8/7-5/4
| 1/1-11/10-7/4
| 1/1-8/5-11/6
|-
|-
| | 4
| 4
| | 0-2-7
| 0-2-7
| | 1-11/10-11/8
| 1-11/10-11/8
| | utonal
| utonal
| 1/1-11/10-11/8
| 1/1-5/4-11/6
| 1/1-16/11-8/5
|-
|-
| | 5
| 5
| | 0-3-7
| 0-3-7
| | 1-8/7-11/8
| 1-8/7-11/8
| | keenanismic
| keenanismic
| 1/1-8/7-11/8
| 1/1-6/5-7/4
| 1/1-16/11-5/3
|-
|-
| | 6
| 6
| | 0-4-7
| 0-4-7
| | 1-6/5-11/8
| 1-6/5-11/8
| | keenanismic
| keenanismic
| 1/1-6/5-11/8
| 1/1-8/7-5/3
| 1/1-16/11-7/4
|-
|-
| | 7
| 7
| | 0-5-7
| 0-5-7
| | 1-5/4-11/8
| 1-5/4-11/8
| | otonal
| otonal
| 1/1-5/4-11/8
| 1/1-11/10-8/5
| 1/1-16/11-11/6
|-
|-
| | 8
| 8
| | 0-3-8
| 0-3-8
| | 1-8/7-10/7
| 1-8/7-10/7
| | otonal
| otonal
| 1/1-8/7-10/7
| 1/1-5/4-7/4
| 1/1-7/5-8/5
|-
|-
| | 9
| 9
| | 0-4-8
| 0-4-8
| | 1-6/5-10/7
| 1-6/5-10/7
| | starling
| starling
| 1/1-6/5-10/7
| 1/1-6/5-5/3
| 1/1-7/5-5/3
|-
|-
| | 10
| 10
| | 0-5-8
| 0-5-8
| | 1-5/4-10/7
| 1-5/4-10/7
| | utonal
| utonal
| 1/1-5/4-10/7
| 1/1-8/7-8/5
| 1/1-7/5-7/4
|-
|-
| | 11
| 11
| | 0-2-9
| 0-2-9
| | 1-12/11-3/2
| 1-11/10-3/2
| | utonal
| utonal
| 1/1-11/10-3/2
| 1/1-11/8-11/6
| 1/1-4/3-16/11
|-
|-
| | 12
| 12
| | 0-4-9
| 0-4-9
| | 1-6/5-3/2
| 1-6/5-3/2
| | utonal
| utonal
| 1/1-6/5-3/2
| 1/1-5/4-5/3
| 1/1-4/3-8/5
|-
|-
| | 13
| 13
| | 0-5-9
| 0-5-9
| | 1-5/4-3/2
| 1-5/4-3/2
| | otonal
| otonal
| 1/1-5/4-3/2
| 1/1-6/5-8/5
| 1/1-4/3-5/3
|-
|-
| | 14
| 14
| | 0-7-9
| 0-7-9
| | 1-11/8-3/2
| 1-11/8-3/2
| | otonal
| otonal
| 1/1-11/8-3/2
| 1/1-11/10-16/11
| 1/1-4/3-11/6
|-
|-
| | 15
| 15
| | 0-2-10
| 0-2-10
| | 1-11/10-11/7
| 1-11/10-11/7
| | utonal
| utonal
| 1/1-11/10-11/7
| 1/1-10/7-11/6
| 1/1-14/11-7/5
|-
|-
| | 16
| 16
| | 0-3-10
| 0-3-10
| | 1-8/7-11/7
| 1-8/7-11/7
| | otonal
| otonal
| 1/1-8/7-11/7
| 1/1-11/8-7/4
| 1/1-14/11-16/11
|-
|-
| | 17
| 17
| | 0-5-10
| 0-5-10
| | 1-5/4-11/7
| 1-5/4-11/7
| | valinorsmic
| valinorsmic
| 1/1-5/4-11/7
| 1/1-5/4-8/5
| 1/1-14/11-8/5
|-
|-
| | 18
| 18
| | 0-7-10
| 0-7-10
| | 1-11/8-11/7
| 1-11/8-11/7
| | utonal
| utonal
| 1/1-11/8-11/7
| 1/1-8/7-16/11
| 1/1-14/11-7/4
|-
|-
| | 19
| 19
| | 0-8-10
| 0-8-10
| | 1-10/7-11/7
| 1-10/7-11/7
| | otonal
| otonal
| 1/1-10/7-11/7
| 1/1-11/10-7/5
| 1/1-14/11-11/6
|-
|-
| | 20
| 20
| | 0-2-11
| 0-2-11
| | 1-12/11-18/11
| 1-11/10-18/11
| | otonal
| otonal
| 1/1-11/10-18/11
| 1/1-3/2-11/6
| 1/1-11/9-4/3
|-
|-
| | 21
| 21
| | 0-3-11
| 0-3-11
| | 1-8/7-18/11
| 1-8/7-18/11
| | werckismic
| werckismic
| 1/1-8/7-18/11
| 1/1-10/7-7/4
| 1/1-11/9-7/5
|-
|-
| | 22
| 22
| | 0-4-11
| 0-4-11
| | 1-6/5-18/11
| 1-6/5-18/11
| | biyatismic
| biyatismic
| 1/1-6/5-18/11
| 1/1-11/8-5/3
| 1/1-11/9-16/11
|-
|-
| | 23
| 23
| | 0-7-11
| 0-7-11
| | 1-11/8-18/11
| 1-11/8-18/11
| | biyatismic
| biyatismic
| 1/1-11/8-18/11
| 1/1-6/5-16/11
| 1/1-11/9-5/3
|-
|-
| | 24
| 24
| | 0-8-11
| 0-8-11
| | 1-10/7-18/11
| 1-10/7-18/11
| | werckismic
| werckismic
| 1/1-10/7-18/11
| 1/1-8/7-7/5
| 1/1-11/9-7/4
|-
|-
| | 25
| 25
| | 0-9-11
| 0-9-11
| | 1-3/2-18/11
| 1-3/2-18/11
| | utonal
| utonal
| 1/1-3/2-18/11
| 1/1-11/10-4/3
| 1/1-11/9-11/6
|-
|-
| | 26
| 26
| | 0-2-12
| 0-2-12
| | 1-12/11-12/7
| 1-11/10-12/7
| | utonal
| utonal
| 1/1-11/10-12/7
| 1/1-11/7-11/6
| 1/1-7/6-14/11
|-
|-
| | 27
| 27
| | 0-3-12
| 0-3-12
| | 1-8/7-12/7
| 1-8/7-12/7
| | otonal
| otonal
| 1/1-8/7-12/7
| 1/1-3/2-7/4
| 1/1-7/6-4/3
|-
|-
| | 28
| 28
| | 0-4-12
| 0-4-12
| | 1-6/5-12/7
| 1-6/5-12/7
| | utonal
| utonal
| 1/1-6/5-12/7
| 1/1-10/7-5/3
| 1/1-7/6-7/5
|-
|-
| | 29
| 29
| | 0-5-12
| 0-5-12
| | 1-5/4-12/7
| 1-5/4-12/7
| | keenanismic
| keenanismic
| 1/1-5/4-12/7
| 1/1-11/8-8/5
| 1/1-7/6-16/11
|-
|-
| | 30
| 30
| | 0-7-12
| 0-7-12
| | 1-11/8-12/7
| 1-11/8-12/7
| | keenanismic
| keenanismic
| 1/1-11/8-12/7
| 1/1-5/4-16/11
| 1/1-7/6-8/5
|-
|-
| | 31
| 31
| | 0-8-12
| 0-8-12
| | 1-10/7-12/7
| 1-10/7-12/7
| | otonal
| otonal
| 1/1-10/7-12/7
| 1/1-6/5-7/5
| 1/1-7/6-5/3
|-
|-
| | 32
| 32
| | 0-9-12
| 0-9-12
| | 1-3/2-12/7
| 1-3/2-12/7
| | utonal
| utonal
| 1/1-3/2-12/7
| 1/1-8/7-4/3
| 1/1-7/6-7/4
|-
|-
| | 33
| 33
| | 0-10-12
| 0-10-12
| | 1-11/7-12/7
| 1-11/7-12/7
| | otonal
| otonal
| 1/1-11/7-12/7
| 1/1-11/10-14/11
| 1/1-7/6-11/6
|-
|-
| | 34
| 34
| | 0-2-13
| 0-2-13
| | 1-11/10-9/5
| 1-11/10-9/5
| | otonal
| otonal
| 1/1-11/10-9/5
| 1/1-18/11-11/6
| 1/1-10/9-11/9
|-
|-
| | 35
| 35
| | 0-3-13
| 0-3-13
| | 1-8/7-9/5
| 1-8/7-9/5
| | werckismic
| werckismic
| 1/1-8/7-9/5
| 1/1-11/7-7/4
| 1/1-10/9-14/11
|-
|-
| | 36
| 36
| | 0-4-13
| 0-4-13
| | 1-6/5-9/5
| 1-6/5-9/5
| | otonal
| otonal
| 1/1-6/5-9/5
| 1/1-3/2-5/3
| 1/1-10/9-4/3
|-
|-
| | 37
| 37
| | 0-5-13
| 0-5-13
| | 1-5/4-9/5
| 1-5/4-9/5
| | starling
| starling
| 1/1-5/4-9/5
| 1/1-10/7-8/5
| 1/1-10/9-7/5
|-
|-
| | 38
| 38
| | 0-8-13
| 0-8-13
| | 1-10/7-9/5
| 1-10/7-9/5
| | starling
| starling
| 1/1-10/7-9/5
| 1/1-5/4-7/5
| 1/1-10/9-8/5
|-
|-
| | 39
| 39
| | 0-9-13
| 0-9-13
| | 1-3/2-9/5
| 1-3/2-9/5
| | utonal
| utonal
| 1/1-3/2-9/5
| 1/1-6/5-4/3
| 1/1-10/9-5/3
|-
|-
| | 40
| 40
| | 0-10-13
| 0-10-13
| | 1-11/7-9/5
| 1-11/7-9/5
| | werckismic
| werckismic
| 1/1-11/7-9/5
| 1/1-8/7-14/11
| 1/1-10/9-7/4
|-
|-
| | 41
| 41
| | 0-11-13
| 0-11-13
| | 1-18/11-9/5
| 1-18/11-9/5
| | utonal
| utonal
| 1/1-18/11-9/5
| 1/1-11/10-11/9
| 1/1-10/9-11/6
|-
|-
| | 42
| 42
| | 0-5-18
| 0-5-18
| | 1-5/4-9/8
| 1-5/4-9/8
| | otonal
| otonal
| 1/1-9/8-5/4
| 1/1-10/9-16/9
| 1/1-8/5-9/5
|-
|-
| | 43
| 43
| | 0-7-18
| 0-7-18
| | 1-11/8-9/8
| 1-11/8-9/8
| | otonal
| otonal
| 1/1-9/8-11/8
| 1/1-11/9-16/9
| 1/1-16/11-18/11
|-
|-
| | 44
| 44
| | 0-8-18
| 0-8-18
| | 1-10/7-9/8
| 1-10/7-9/8
| | werckismic
| werckismic
| 1/1-9/8-10/7
| 1/1-14/11-16/9
| 1/1-7/5-11/7
|-
|-
| | 45
| 45
| | 0-9-18
| 0-9-18
| | 1-3/2-9/8
| 1-3/2-9/8
| | ambitonal
| ambitonal
| 1/1-9/8-3/2
| 1/1-4/3-16/9
| 1/1-4/3-3/2
|-
|-
| | 46
| 46
| | 0-10-18
| 0-10-18
| | 1-11/7-9/8
| 1-11/7-9/8
| | werckismic
| werckismic
| 1/1-9/8-11/7
| 1/1-7/5-16/9
| 1/1-14/11-10/7
|-
|-
| | 47
| 47
| | 0-11-18
| 0-11-18
| | 1-18/11-9/8
| 1-18/11-9/8
| | utonal
| utonal
| 1/1-9/8-18/11
| 1/1-16/11-16/9
| 1/1-11/9-11/8
|-
|-
| | 48
| 48
| | 0-13-18
| 0-13-18
| | 1-9/5-9/8
| 1-9/5-9/8
| | utonal
| utonal
| 1/1-9/8-9/5
| 1/1-8/5-16/9
| 1/1-10/9-5/4
|-
|-
| | 49
| 49
| | 0-3-21
| 0-3-21
| | 1-8/7-9/7
| 1-8/7-9/7
| | otonal
| otonal
| 1/1-8/7-9/7
| 1/1-9/8-7/4
| 1/1-14/9-16/9
|-
|-
| | 50
| 50
| | 0-8-21
| 0-8-21
| | 1-10/7-9/7
| 1-10/7-9/7
| | otonal
| otonal
| 1/1-9/7-10/7
| 1/1-10/9-14/9
| 1/1-7/5-9/5
|-
|-
| | 51
| 51
| | 0-9-21
| 0-9-21
| | 1-3/2-9/7
| 1-3/2-9/7
| | utonal
| utonal
| 1/1-9/7-3/2
| 1/1-7/6-14/9
| 1/1-4/3-12/7
|-
|-
| | 52
| 52
| | 0-10-21
| 0-10-21
| | 1-11/7-9/7
| 1-11/7-9/7
| | otonal
| otonal
| 1/1-9/7-11/7
| 1/1-11/9-14/9
| 1/1-14/11-18/11
|-
|-
| | 53
| 53
| | 0-11-21
| 0-11-21
| | 1-18/11-9/7
| 1-18/11-9/7
| | utonal
| utonal
| 1/1-9/7-18/11
| 1/1-14/11-14/9
| 1/1-11/9-11/7
|-
|-
| | 54
| 54
| | 0-12-21
| 0-12-21
| | 1-12/7-9/7
| 1-12/7-9/7
| | otonal
| otonal
| 1/1-9/7-12/7
| 1/1-4/3-14/9
| 1/1-7/6-3/2
|-
|-
| | 55
| 55
| | 0-13-21
| 0-13-21
| | 1-9/5-9/7
| 1-9/5-9/7
| | utonal
| utonal
| 1/1-9/7-9/5
| 1/1-7/5-14/9
| 1/1-10/9-10/7
|-
|-
| | 56
| 56
| | 0-18-21
| 0-18-21
| | 1-9/8-9/7
| 1-9/8-9/7
| | utonal
| utonal
| 1/1-9/8-9/7
| 1/1-8/7-16/9
| 1/1-14/9-7/4
|}
|}


=Tetrads=
== Tetrads ==
 
{| class="wikitable center-1"
{| class="wikitable"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
! As generated
! 1st inversion
! 2nd inversion
! 3rd inversion
|-
|-
| | 1
| 1
| | 0-2-4-7
| 0-2-4-7
| | 1-11/10-6/5-11/8
| 1-11/10-6/5-11/8
| | zeus
| zeus
| 1/1-11/10-6/5-11/8
| 1/1-11/10-5/4-11/6
| 1/1-8/7-5/3-11/6
| 1/1-16/11-8/5-7/4
|-
|-
| | 2
| 2
| | 0-2-5-7
| 0-2-5-7
| | 1-11/10-5/4-11/8
| 1-11/10-5/4-11/8
| | valinorsmic
| valinorsmic
| 1/1-11/10-5/4-11/8
| 1/1-8/7-5/4-11/6
| 1/1-11/10-8/5-7/4
| 1/1-16/11-8/5-11/6
|-
|-
| | 3
| 3
| | 0-3-5-7
| 0-3-5-7
| | 1-8/7-5/4-11/8
| 1-8/7-5/4-11/8
| | zeus
| zeus
| 1/1-8/7-5/4-11/8
| 1/1-11/10-6/5-7/4
| 1/1-11/10-8/5-11/6
| 1/1-16/11-5/3-11/6
|-
|-
| | 4
| 4
| | 0-3-5-8
| 0-3-5-8
| | 1-8/7-5/4-10/7
| 1-8/7-5/4-10/7
| | valinorsmic
| valinorsmic
| 1/1-8/7-5/4-10/7
| 1/1-11/10-5/4-7/4
| 1/1-8/7-8/5-11/6
| 1/1-7/5-8/5-7/4
|-
|-
| | 5
| 5
| | 0-2-4-9
| 0-2-4-9
| | 1-12/11-6/5-3/2
| 1-11/10-6/5-3/2
| | utonal
| utonal
| 1/1-11/10-6/5-3/2
| 1/1-11/10-11/8-11/6
| 1/1-5/4-5/3-11/6
| 1/1-4/3-16/11-8/5
|-
|-
| | 6
| 6
| | 0-2-5-9
| 0-2-5-9
| | 1-11/10-5/4-3/2
| 1-11/10-5/4-3/2
| | zeus
| zeus
| 1/1-11/10-5/4-3/2
| 1/1-8/7-11/8-11/6
| 1/1-6/5-8/5-7/4
| 1/1-4/3-16/11-5/3
|-
|-
| | 7
| 7
| | 0-2-7-9
| 0-2-7-9
| | 1-11/10-11/8-3/2
| 1-11/10-11/8-3/2
| | biyatismic
| biyatismic
| 1/1-11/10-11/8-3/2
| 1/1-5/4-11/8-11/6
| 1/1-11/10-16/11-8/5
| 1/1-4/3-16/11-11/6
|-
|-
| | 8
| 8
| | 0-4-7-9
| 0-4-7-9
| | 1-6/5-11/8-3/2
| 1-6/5-11/8-3/2
| | zeus
| zeus
| 1/1-6/5-11/8-3/2
| 1/1-8/7-5/4-5/3
| 1/1-11/10-16/11-7/4
| 1/1-4/3-8/5-11/6
|-
|-
| | 9
| 9
| | 0-5-7-9
| 0-5-7-9
| | 1-5/4-11/8-3/2
| 1-5/4-11/8-3/2
| | otonal
| otonal
| 1/1-5/4-11/8-3/2
| 1/1-11/10-6/5-8/5
| 1/1-11/10-16/11-11/6
| 1/1-4/3-5/3-11/6
|-
|-
| | 10
| 10
| | 0-2-5-10
| 0-2-5-10
| | 1-11/10-5/4-11/7
| 1-11/10-5/4-11/7
| | valinorsmic
| valinorsmic
| 1/1-11/10-5/4-11/7
| 1/1-8/7-10/7-11/6
| 1/1-5/4-8/5-7/4
| 1/1-14/11-7/5-8/5
|-
|-
| | 11
| 11
| | 0-3-5-10
| 0-3-5-10
| | 1-8/7-5/4-11/7
| 1-8/7-5/4-11/7
| | valinorsmic
| valinorsmic
| 1/1-8/7-5/4-11/7
| 1/1-11/10-11/8-7/4
| 1/1-5/4-8/5-11/6
| 1/1-14/11-16/11-8/5
|-
|-
| | 12
| 12
| | 0-2-7-10
| 0-2-7-10
| | 1-11/10-11/8-11/7
| 1-11/10-11/8-11/7
| | utonal
| utonal
| 1/1-11/10-11/8-11/7
| 1/1-5/4-10/7-11/6
| 1/1-8/7-16/11-8/5
| 1/1-14/11-7/5-7/4
|-
|-
| | 13
| 13
| | 0-3-7-10
| 0-3-7-10
| | 1-8/7-11/8-11/7
| 1-8/7-11/8-11/7
| | keenanismic
| keenanismic
| 1/1-8/7-11/8-11/7
| 1/1-6/5-11/8-7/4
| 1/1-8/7-16/11-5/3
| 1/1-14/11-16/11-7/4
|-
|-
| | 14
| 14
| | 0-5-7-10
| 0-5-7-10
| | 1-5/4-11/8-11/7
| 1-5/4-11/8-11/7
| | valinorsmic
| valinorsmic
| 1/1-5/4-11/8-11/7
| 1/1-11/10-5/4-8/5
| 1/1-8/7-16/11-11/6
| 1/1-14/11-8/5-7/4
|-
|-
| | 15
| 15
| | 0-3-8-10
| 0-3-8-10
| | 1-8/7-10/7-11/7
| 1-8/7-10/7-11/7
| | otonal
| otonal
| 1/1-8/7-10/7-11/7
| 1/1-5/4-11/8-7/4
| 1/1-11/10-7/5-8/5
| 1/1-14/11-16/11-11/6
|-
|-
| | 16
| 16
| | 0-5-8-10
| 0-5-8-10
| | 1-5/4-10/7-11/7
| 1-5/4-10/7-11/7
| | valinorsmic
| valinorsmic
| 1/1-5/4-10/7-11/7
| 1/1-8/7-5/4-8/5
| 1/1-11/10-7/5-7/4
| 1/1-14/11-8/5-11/6
|-
|-
| | 17
| 17
| | 0-2-4-11
| 0-2-4-11
| | 1-11/10-6/5-18/11
| 1-11/10-6/5-18/11
| | biyatismic
| biyatismic
| 1/1-11/10-6/5-18/11
| 1/1-11/10-3/2-11/6
| 1/1-11/8-5/3-11/6
| 1/1-11/9-4/3-16/11
|-
|-
| | 18
| 18
| | 0-2-7-11
| 0-2-7-11
| | 1-11/10-11/8-18/11
| 1-11/10-11/8-18/11
| | biyatismic
| biyatismic
| 1/1-11/10-11/8-18/11
| 1/1-5/4-3/2-11/6
| 1/1-6/5-16/11-8/5
| 1/1-11/9-4/3-5/3
|-
|-
| | 19
| 19
| | 0-3-7-11
| 0-3-7-11
| | 1-8/7-11/8-18/11
| 1-8/7-11/8-18/11
| | valentine
| valentine
| 1/1-8/7-11/8-18/11
| 1/1-6/5-10/7-7/4
| 1/1-6/5-16/11-5/3
| 1/1-11/9-7/5-5/3
|-
|-
| | 20
| 20
| | 0-4-7-11
| 0-4-7-11
| | 1-6/5-11/8-18/11
| 1-6/5-11/8-18/11
| | zeus
| zeus
| 1/1-6/5-11/8-18/11
| 1/1-8/7-11/8-5/3
| 1/1-6/5-16/11-7/4
| 1/1-11/9-16/11-5/3
|-
|-
| | 21
| 21
| | 0-3-8-11
| 0-3-8-11
| | 1-8/7-10/7-18/11
| 1-8/7-10/7-18/11
| | werckismic
| werckismic
| 1/1-8/7-10/7-18/11
| 1/1-5/4-10/7-7/4
| 1/1-8/7-7/5-8/5
| 1/1-11/9-7/5-7/4
|-
|-
| | 22
| 22
| | 0-4-8-11
| 0-4-8-11
| | 1-6/5-10/7-18/11
| 1-6/5-10/7-18/11
| | valentine
| valentine
| 1/1-6/5-10/7-18/11
| 1/1-6/5-11/8-5/3
| 1/1-8/7-7/5-5/3
| 1/1-11/9-16/11-7/4
|-
|-
| | 23
| 23
| | 0-2-9-11
| 0-2-9-11
| | 1-12/11-3/2-18/11
| 1-11/10-3/2-18/11
| | ambitonal
| ambitonal
| 1/1-11/10-3/2-18/11
| 1/1-11/8-3/2-11/6
| 1/1-11/10-4/3-16/11
| 1/1-11/9-4/3-11/6
|-
|-
| | 24
| 24
| | 0-4-9-11
| 0-4-9-11
| | 1-6/5-3/2-18/11
| 1-6/5-3/2-18/11
| | biyatismic
| biyatismic
| 1/1-6/5-3/2-18/11
| 1/1-5/4-11/8-5/3
| 1/1-11/10-4/3-8/5
| 1/1-11/9-16/11-11/6
|-
|-
| | 25
| 25
| | 0-7-9-11
| 0-7-9-11
| | 1-11/8-3/2-18/11
| 1-11/8-3/2-18/11
| | biyatismic
| biyatismic
| 1/1-11/8-3/2-18/11
| 1/1-11/10-6/5-16/11
| 1/1-11/10-4/3-11/6
| 1/1-11/9-5/3-11/6
|-
|-
| | 26
| 26
| | 0-2-4-12
| 0-2-4-12
| | 1-12/11-6/5-12/7
| 1-11/10-6/5-12/7
| | utonal
| utonal
| 1/1-11/10-6/5-12/7
| 1/1-11/10-11/7-11/6
| 1/1-10/7-5/3-11/6
| 1/1-7/6-14/11-7/5
|-
|-
| | 27
| 27
| | 0-2-5-12
| 0-2-5-12
| | 1-11/10-5/4-12/7
| 1-11/10-5/4-12/7
| | zeus
| zeus
| 1/1-11/10-5/4-12/7
| 1/1-8/7-11/7-11/6
| 1/1-11/8-8/5-7/4
| 1/1-7/6-14/11-16/11
|-
|-
| | 28
| 28
| | 0-3-5-12
| 0-3-5-12
| | 1-8/7-5/4-12/7
| 1-8/7-5/4-12/7
| | zeus
| zeus
| 1/1-8/7-5/4-12/7
| 1/1-11/10-3/2-7/4
| 1/1-11/8-8/5-11/6
| 1/1-7/6-4/3-16/11
|-
|-
| | 29
| 29
| | 0-2-7-12
| 0-2-7-12
| | 1-11/10-11/8-12/7
| 1-11/10-11/8-12/7
| | zeus
| zeus
| 1/1-11/10-11/8-12/7
| 1/1-5/4-11/7-11/6
| 1/1-5/4-16/11-8/5
| 1/1-7/6-14/11-8/5
|-
|-
| | 30
| 30
| | 0-3-7-12
| 0-3-7-12
| | 1-8/7-11/8-12/7
| 1-8/7-11/8-12/7
| | keenanismic
| keenanismic
| 1/1-8/7-11/8-12/7
| 1/1-6/5-3/2-7/4
| 1/1-5/4-16/11-5/3
| 1/1-7/6-4/3-8/5
|-
|-
| | 31
| 31
| | 0-4-7-12
| 0-4-7-12
| | 1-6/5-11/8-12/7
| 1-6/5-11/8-12/7
| | keenanismic
| keenanismic
| 1/1-6/5-11/8-12/7
| 1/1-8/7-10/7-5/3
| 1/1-5/4-16/11-7/4
| 1/1-7/6-7/5-8/5
|-
|-
| | 32
| 32
| | 0-5-7-12
| 0-5-7-12
| | 1-5/4-11/8-12/7
| 1-5/4-11/8-12/7
| | keenanismic
| keenanismic
| 1/1-5/4-11/8-12/7
| 1/1-11/10-11/8-8/5
| 1/1-5/4-16/11-11/6
| 1/1-7/6-16/11-8/5
|-
|-
| | 33
| 33
| | 0-3-8-12
| 0-3-8-12
| | 1-8/7-10/7-12/7
| 1-8/7-10/7-12/7
| | otonal
| otonal
| 1/1-8/7-10/7-12/7
| 1/1-5/4-3/2-7/4
| 1/1-6/5-7/5-8/5
| 1/1-7/6-4/3-5/3
|-
|-
| | 34
| 34
| | 0-4-8-12
| 0-4-8-12
| | 1-6/5-10/7-12/7
| 1-6/5-10/7-12/7
| | starling
| starling
| 1/1-6/5-10/7-12/7
| 1/1-6/5-10/7-5/3
| 1/1-6/5-7/5-5/3
| 1/1-7/6-7/5-5/3
|-
|-
| | 35
| 35
| | 0-5-8-12
| 0-5-8-12
| | 1-5/4-10/7-12/7
| 1-5/4-10/7-12/7
| | keenanismic
| keenanismic
| 1/1-5/4-10/7-12/7
| 1/1-8/7-11/8-8/5
| 1/1-6/5-7/5-7/4
| 1/1-7/6-16/11-5/3
|-
|-
| | 36
| 36
| | 0-2-9-12
| 0-2-9-12
| | 1-12/11-3/2-12/7
| 1-11/10-3/2-12/7
| | utonal
| utonal
| 1/1-11/10-3/2-12/7
| 1/1-11/8-11/7-11/6
| 1/1-8/7-4/3-16/11
| 1/1-7/6-14/11-7/4
|-
|-
| | 37
| 37
| | 0-4-9-12
| 0-4-9-12
| | 1-6/5-3/2-12/7
| 1-6/5-3/2-12/7
| | utonal
| utonal
| 1/1-6/5-3/2-12/7
| 1/1-5/4-10/7-5/3
| 1/1-8/7-4/3-8/5
| 1/1-7/6-7/5-7/4
|-
|-
| | 38
| 38
| | 0-5-9-12
| 0-5-9-12
| | 1-5/4-3/2-12/7
| 1-5/4-3/2-12/7
| | keenanismic
| keenanismic
| 1/1-5/4-3/2-12/7
| 1/1-6/5-11/8-8/5
| 1/1-8/7-4/3-5/3
| 1/1-7/6-16/11-7/4
|-
|-
| | 39
| 39
| | 0-7-9-12
| 0-7-9-12
| | 1-11/8-3/2-12/7
| 1-11/8-3/2-12/7
| | zeus
| zeus
| 1/1-11/8-3/2-12/7
| 1/1-11/10-5/4-16/11
| 1/1-8/7-4/3-11/6
| 1/1-7/6-8/5-7/4
|-
|-
| | 40
| 40
| | 0-2-10-12
| 0-2-10-12
| | 1-11/10-11/7-12/7
| 1-11/10-11/7-12/7
| | biyatismic
| biyatismic
| 1/1-11/10-11/7-12/7
| 1/1-10/7-11/7-11/6
| 1/1-11/10-14/11-7/5
| 1/1-7/6-14/11-11/6
|-
|-
| | 41
| 41
| | 0-3-10-12
| 0-3-10-12
| | 1-8/7-11/7-12/7
| 1-8/7-11/7-12/7
| | otonal
| otonal
| 1/1-8/7-11/7-12/7
| 1/1-11/8-3/2-7/4
| 1/1-11/10-14/11-16/11
| 1/1-7/6-4/3-11/6
|-
|-
| | 42
| 42
| | 0-5-10-12
| 0-5-10-12
| | 1-5/4-11/7-12/7
| 1-5/4-11/7-12/7
| | zeus
| zeus
| 1/1-5/4-11/7-12/7
| 1/1-5/4-11/8-8/5
| 1/1-11/10-14/11-8/5
| 1/1-7/6-16/11-11/6
|-
|-
| | 43
| 43
| | 0-7-10-12
| 0-7-10-12
| | 1-11/8-11/7-12/7
| 1-11/8-11/7-12/7
| | zeus
| zeus
| 1/1-11/8-11/7-12/7
| 1/1-8/7-5/4-16/11
| 1/1-11/10-14/11-7/4
| 1/1-7/6-8/5-11/6
|-
|-
| | 44
| 44
| | 0-8-10-12
| 0-8-10-12
| | 1-10/7-11/7-12/7
| 1-10/7-11/7-12/7
| | otonal
| otonal
| 1/1-10/7-11/7-12/7
| 1/1-11/10-6/5-7/5
| 1/1-11/10-14/11-11/6
| 1/1-7/6-5/3-11/6
|-
|-
| | 45
| 45
| | 0-2-4-13
| 0-2-4-13
| | 1-11/10-6/5-9/5
| 1-11/10-6/5-9/5
| | otonal
| otonal
| 1/1-11/10-6/5-9/5
| 1/1-11/10-18/11-11/6
| 1/1-3/2-5/3-11/6
| 1/1-10/9-11/9-4/3
|-
|-
| | 46
| 46
| | 0-2-5-13
| 0-2-5-13
| | 1-11/10-5/4-9/5
| 1-11/10-5/4-9/5
| | thrush
| thrush
| 1/1-11/10-5/4-9/5
| 1/1-8/7-18/11-11/6
| 1/1-10/7-8/5-7/4
| 1/1-10/9-11/9-7/5
|-
|-
| | 47
| 47
| | 0-3-5-13
| 0-3-5-13
| | 1-8/7-5/4-9/5
| 1-8/7-5/4-9/5
| | thrush
| thrush
| 1/1-8/7-5/4-9/5
| 1/1-11/10-11/7-7/4
| 1/1-10/7-8/5-11/6
| 1/1-10/9-14/11-7/5
|-
|-
| | 48
| 48
| | 0-3-8-13
| 0-3-8-13
| | 1-8/7-10/7-9/5
| 1-8/7-10/7-9/5
| | thrush
| thrush
| 1/1-8/7-10/7-9/5
| 1/1-5/4-11/7-7/4
| 1/1-5/4-7/5-8/5
| 1/1-10/9-14/11-8/5
|-
|-
| | 49
| 49
| | 0-4-8-13
| 0-4-8-13
| | 1-6/5-10/7-9/5
| 1-6/5-10/7-9/5
| | starling
| starling
| 1/1-6/5-10/7-9/5
| 1/1-6/5-3/2-5/3
| 1/1-5/4-7/5-5/3
| 1/1-10/9-4/3-8/5
|-
|-
| | 50
| 50
| | 0-5-8-13
| 0-5-8-13
| | 1-5/4-10/7-9/5
| 1-5/4-10/7-9/5
| | starling
| starling
| 1/1-5/4-10/7-9/5
| 1/1-8/7-10/7-8/5
| 1/1-5/4-7/5-7/4
| 1/1-10/9-7/5-8/5
|-
|-
| | 51
| 51
| | 0-2-9-13
| 0-2-9-13
| | 1-11/10-3/2-9/5
| 1-11/10-3/2-9/5
| | biyatismic
| biyatismic
| 1/1-11/10-3/2-9/5
| 1/1-11/8-18/11-11/6
| 1/1-6/5-4/3-16/11
| 1/1-10/9-11/9-5/3
|-
|-
| | 52
| 52
| | 0-4-9-13
| 0-4-9-13
| | 1-6/5-3/2-9/5
| 1-6/5-3/2-9/5
| | ambitonal
| ambitonal
| 1/1-6/5-3/2-9/5
| 1/1-5/4-3/2-5/3
| 1/1-6/5-4/3-8/5
| 1/1-10/9-4/3-5/3
|-
|-
| | 53
| 53
| | 0-5-9-13
| 0-5-9-13
| | 1-5/4-3/2-9/5
| 1-5/4-3/2-9/5
| | starling
| starling
| 1/1-5/4-3/2-9/5
| 1/1-6/5-10/7-8/5
| 1/1-6/5-4/3-5/3
| 1/1-10/9-7/5-5/3
|-
|-
| | 54
| 54
| | 0-2-10-13
| 0-2-10-13
| | 1-11/10-11/7-9/5
| 1-11/10-11/7-9/5
| | werckismic
| werckismic
| 1/1-11/10-11/7-9/5
| 1/1-10/7-18/11-11/6
| 1/1-8/7-14/11-7/5
| 1/1-10/9-11/9-7/4
|-
|-
| | 55
| 55
| | 0-3-10-13
| 0-3-10-13
| | 1-8/7-11/7-9/5
| 1-8/7-11/7-9/5
| | werckismic
| werckismic
| 1/1-8/7-11/7-9/5
| 1/1-11/8-11/7-7/4
| 1/1-8/7-14/11-16/11
| 1/1-10/9-14/11-7/4
|-
|-
| | 56
| 56
| | 0-5-10-13
| 0-5-10-13
| | 1-5/4-11/7-9/5
| 1-5/4-11/7-9/5
| | thrush
| thrush
| 1/1-5/4-11/7-9/5
| 1/1-5/4-10/7-8/5
| 1/1-8/7-14/11-8/5
| 1/1-10/9-7/5-7/4
|-
|-
| | 57
| 57
| | 0-8-10-13
| 0-8-10-13
| | 1-10/7-11/7-9/5
| 1-10/7-11/7-9/5
| | thrush
| thrush
| 1/1-10/7-11/7-9/5
| 1/1-11/10-5/4-7/5
| 1/1-8/7-14/11-11/6
| 1/1-10/9-8/5-7/4
|-
|-
| | 58
| 58
| | 0-2-11-13
| 0-2-11-13
| | 1-11/10-18/11-9/5
| 1-11/10-18/11-9/5
| | biyatismic
| biyatismic
| 1/1-11/10-18/11-9/5
| 1/1-3/2-18/11-11/6
| 1/1-11/10-11/9-4/3
| 1/1-10/9-11/9-11/6
|-
|-
| | 59
| 59
| | 0-3-11-13
| 0-3-11-13
| | 1-8/7-18/11-9/5
| 1-8/7-18/11-9/5
| | werckismic
| werckismic
| 1/1-8/7-18/11-9/5
| 1/1-10/7-11/7-7/4
| 1/1-11/10-11/9-7/5
| 1/1-10/9-14/11-11/6
|-
|-
| | 60
| 60
| | 0-4-11-13
| 0-4-11-13
| | 1-6/5-18/11-9/5
| 1-6/5-18/11-9/5
| | biyatismic
| biyatismic
| 1/1-6/5-18/11-9/5
| 1/1-11/8-3/2-5/3
| 1/1-11/10-11/9-16/11
| 1/1-10/9-4/3-11/6
|-
|-
| | 61
| 61
| | 0-8-11-13
| 0-8-11-13
| | 1-10/7-18/11-9/5
| 1-10/7-18/11-9/5
| | thrush
| thrush
| 1/1-10/7-18/11-9/5
| 1/1-8/7-5/4-7/5
| 1/1-11/10-11/9-7/4
| 1/1-10/9-8/5-11/6
|-
|-
| | 62
| 62
| | 0-9-11-13
| 0-9-11-13
| | 1-3/2-18/11-9/5
| 1-3/2-18/11-9/5
| | utonal
| utonal
| 1/1-3/2-18/11-9/5
| 1/1-11/10-6/5-4/3
| 1/1-11/10-11/9-11/6
| 1/1-10/9-5/3-11/6
|-
|-
| | 63
| 63
| | 0-5-7-18
| 0-5-7-18
| | 1-5/4-11/8-9/8
| 1-5/4-11/8-9/8
| | otonal
| otonal
| 1/1-9/8-5/4-11/8
| 1/1-10/9-11/9-16/9
| 1/1-11/10-8/5-9/5
| 1/1-16/11-18/11-11/6
|-
|-
| | 64
| 64
| | 0-5-8-18
| 0-5-8-18
| | 1-5/4-10/7-9/8
| 1-5/4-10/7-9/8
| | werckismic
| werckismic
| 1/1-9/8-5/4-10/7
| 1/1-10/9-14/11-16/9
| 1/1-8/7-8/5-9/5
| 1/1-7/5-11/7-7/4
|-
|-
| | 65
| 65
| | 0-5-9-18
| 0-5-9-18
| | 1-5/4-3/2-9/8
| 1-5/4-3/2-9/8
| | otonal
| otonal
| 1/1-9/8-5/4-3/2
| 1/1-10/9-4/3-16/9
| 1/1-6/5-8/5-9/5
| 1/1-4/3-3/2-5/3
|-
|-
| | 66
| 66
| | 0-7-9-18
| 0-7-9-18
| | 1-11/8-3/2-9/8
| 1-11/8-3/2-9/8
| | otonal
| otonal
| 1/1-9/8-11/8-3/2
| 1/1-11/9-4/3-16/9
| 1/1-11/10-16/11-18/11
| 1/1-4/3-3/2-11/6
|-
|-
| | 67
| 67
| | 0-5-10-18
| 0-5-10-18
| | 1-5/4-11/7-9/8
| 1-5/4-11/7-9/8
| | thrush
| thrush
| 1/1-9/8-5/4-11/7
| 1/1-10/9-7/5-16/9
| 1/1-5/4-8/5-9/5
| 1/1-14/11-10/7-8/5
|-
|-
| | 68
| 68
| | 0-7-10-18
| 0-7-10-18
| | 1-11/8-11/7-9/8
| 1-11/8-11/7-9/8
| | werckismic
| werckismic
| 1/1-9/8-11/8-11/7
| 1/1-11/9-7/5-16/9
| 1/1-8/7-16/11-18/11
| 1/1-14/11-10/7-7/4
|-
|-
| | 69
| 69
| | 0-8-10-18
| 0-8-10-18
| | 1-10/7-11/7-9/8
| 1-10/7-11/7-9/8
| | werckismic
| werckismic
| 1/1-9/8-10/7-11/7
| 1/1-14/11-7/5-16/9
| 1/1-11/10-7/5-11/7
| 1/1-14/11-10/7-11/6
|-
|-
| | 70
| 70
| | 0-7-11-18
| 0-7-11-18
| | 1-11/8-18/11-9/8
| 1-11/8-18/11-9/8
| | biyatismic
| biyatismic
| 1/1-9/8-11/8-18/11
| 1/1-11/9-16/11-16/9
| 1/1-6/5-16/11-18/11
| 1/1-11/9-11/8-5/3
|-
|-
| | 71
| 71
| | 0-8-11-18
| 0-8-11-18
| | 1-10/7-18/11-9/8
| 1-10/7-18/11-9/8
| | werckismic
| werckismic
| 1/1-9/8-10/7-18/11
| 1/1-14/11-16/11-16/9
| 1/1-8/7-7/5-11/7
| 1/1-11/9-11/8-7/4
|-
|-
| | 72
| 72
| | 0-9-11-18
| 0-9-11-18
| | 1-3/2-18/11-9/8
| 1-3/2-18/11-9/8
| | utonal
| utonal
| 1/1-9/8-3/2-18/11
| 1/1-4/3-16/11-16/9
| 1/1-11/10-4/3-3/2
| 1/1-11/9-11/8-11/6
|-
|-
| | 73
| 73
| | 0-5-13-18
| 0-5-13-18
| | 1-5/4-9/5-9/8
| 1-5/4-9/5-9/8
| | starling
| starling
| 1/1-9/8-5/4-9/5
| 1/1-10/9-8/5-16/9
| 1/1-10/7-8/5-9/5
| 1/1-10/9-5/4-25/18
|-
|-
| | 74
| 74
| | 0-8-13-18
| 0-8-13-18
| | 1-10/7-9/5-9/8
| 1-10/7-9/5-9/8
| | thrush
| thrush
| 1/1-9/8-10/7-9/5
| 1/1-14/11-8/5-16/9
| 1/1-5/4-7/5-11/7
| 1/1-10/9-5/4-8/5
|-
|-
| | 75
| 75
| | 0-9-13-18
| 0-9-13-18
| | 1-3/2-9/5-9/8
| 1-3/2-9/5-9/8
| | utonal
| utonal
| 1/1-9/8-3/2-9/5
| 1/1-4/3-8/5-16/9
| 1/1-6/5-4/3-3/2
| 1/1-10/9-5/4-5/3
|-
|-
| | 76
| 76
| | 0-10-13-18
| 0-10-13-18
| | 1-11/7-9/5-9/8
| 1-11/7-9/5-9/8
| | werckismic
| werckismic
| 1/1-9/8-11/7-9/5
| 1/1-7/5-8/5-16/9
| 1/1-8/7-14/11-10/7
| 1/1-10/9-5/4-7/4
|-
|-
| | 77
| 77
| | 0-11-13-18
| 0-11-13-18
| | 1-18/11-9/5-9/8
| 1-18/11-9/5-9/8
| | utonal
| utonal
| 1/1-9/8-18/11-9/5
| 1/1-16/11-8/5-16/9
| 1/1-11/10-11/9-11/8
| 1/1-10/9-5/4-11/6
|-
|-
| | 78
| 78
| | 0-3-8-21
| 0-3-8-21
| | 1-8/7-10/7-9/7
| 1-8/7-10/7-9/7
| | otonal
| otonal
| 1/1-8/7-9/7-10/7
| 1/1-9/8-5/4-7/4
| 1/1-10/9-14/9-16/9
| 1/1-7/5-8/5-9/5
|-
|-
| | 79
| 79
| | 0-3-10-21
| 0-3-10-21
| | 1-8/7-11/7-9/7
| 1-8/7-11/7-9/7
| | otonal
| otonal
| 1/1-8/7-9/7-11/7
| 1/1-9/8-11/8-7/4
| 1/1-11/9-14/9-16/9
| 1/1-14/11-16/11-18/11
|-
|-
| | 80
| 80
| | 0-8-10-21
| 0-8-10-21
| | 1-10/7-11/7-9/7
| 1-10/7-11/7-9/7
| | otonal
| otonal
| 1/1-9/7-10/7-11/7
| 1/1-10/9-11/9-14/9
| 1/1-11/10-7/5-9/5
| 1/1-14/11-18/11-11/6
|-
|-
| | 81
| 81
| | 0-3-11-21
| 0-3-11-21
| | 1-8/7-18/11-9/7
| 1-8/7-18/11-9/7
| | werckismic
| werckismic
| 1/1-8/7-9/7-18/11
| 1/1-9/8-10/7-7/4
| 1/1-14/11-14/9-16/9
| 1/1-11/9-7/5-11/7
|-
|-
| | 82
| 82
| | 0-8-11-21
| 0-8-11-21
| | 1-10/7-18/11-9/7
| 1-10/7-18/11-9/7
| | werckismic
| werckismic
| 1/1-9/7-10/7-18/11
| 1/1-10/9-14/11-14/9
| 1/1-8/7-7/5-9/5
| 1/1-11/9-11/7-7/4
|-
|-
| | 83
| 83
| | 0-9-11-21
| 0-9-11-21
| | 1-3/2-18/11-9/7
| 1-3/2-18/11-9/7
| | utonal
| utonal
| 1/1-9/7-3/2-18/11
| 1/1-7/6-14/11-14/9
| 1/1-11/10-4/3-12/7
| 1/1-11/9-11/7-11/6
|-
|-
| | 84
| 84
| | 0-3-12-21
| 0-3-12-21
| | 1-8/7-12/7-9/7
| 1-8/7-12/7-9/7
| | otonal
| otonal
| 1/1-8/7-9/7-12/7
| 1/1-9/8-3/2-7/4
| 1/1-4/3-14/9-16/9
| 1/1-7/6-4/3-3/2
|-
|-
| | 85
| 85
| | 0-8-12-21
| 0-8-12-21
| | 1-10/7-12/7-9/7
| 1-10/7-12/7-9/7
| | otonal
| otonal
| 1/1-9/7-10/7-12/7
| 1/1-10/9-4/3-14/9
| 1/1-6/5-7/5-9/5
| 1/1-7/6-3/2-5/3
|-
|-
| | 86
| 86
| | 0-9-12-21
| 0-9-12-21
| | 1-3/2-12/7-9/7
| 1-3/2-12/7-9/7
| | ambitonal
| ambitonal
| 1/1-9/7-3/2-12/7
| 1/1-7/6-4/3-14/9
| 1/1-8/7-4/3-12/7
| 1/1-7/6-3/2-7/4
|-
|-
| | 87
| 87
| | 0-10-12-21
| 0-10-12-21
| | 1-11/7-12/7-9/7
| 1-11/7-12/7-9/7
| | otonal
| otonal
| 1/1-9/7-11/7-12/7
| 1/1-11/9-4/3-14/9
| 1/1-11/10-14/11-18/11
| 1/1-7/6-3/2-11/6
|-
|-
| | 88
| 88
| | 0-3-13-21
| 0-3-13-21
| | 1-8/7-9/5-9/7
| 1-8/7-9/5-9/7
| | werckismic
| werckismic
| 1/1-8/7-9/7-9/5
| 1/1-9/8-11/7-7/4
| 1/1-7/5-14/9-16/9
| 1/1-10/9-14/11-10/7
|-
|-
| | 89
| 89
| | 0-8-13-21
| 0-8-13-21
| | 1-10/7-9/5-9/7
| 1-10/7-9/5-9/7
| | starling
| starling
| 1/1-9/7-10/7-9/5
| 1/1-10/9-7/5-14/9
| 1/1-5/4-7/5-9/5
| 1/1-10/9-10/7-8/5
|-
|-
| | 90
| 90
| | 0-9-13-21
| 0-9-13-21
| | 1-3/2-9/5-9/7
| 1-3/2-9/5-9/7
| | utonal
| utonal
| 1/1-9/7-3/2-9/5
| 1/1-7/6-7/5-14/9
| 1/1-6/5-4/3-12/7
| 1/1-10/9-10/7-5/3
|-
|-
| | 91
| 91
| | 0-10-13-21
| 0-10-13-21
| | 1-11/7-9/5-9/7
| 1-11/7-9/5-9/7
| | werckismic
| werckismic
| 1/1-9/7-11/7-9/5
| 1/1-11/9-7/5-14/9
| 1/1-8/7-14/11-18/11
| 1/1-10/9-10/7-7/4
|-
|-
| | 92
| 92
| | 0-11-13-21
| 0-11-13-21
| | 1-18/11-9/5-9/7
| 1-18/11-9/5-9/7
| | utonal
| utonal
| 1/1-9/7-18/11-9/5
| 1/1-14/11-7/5-14/9
| 1/1-11/10-11/9-11/7
| 1/1-10/9-10/7-11/6
|-
|-
| | 93
| 93
| | 0-8-18-21
| 0-8-18-21
| | 1-10/7-9/8-9/7
| 1-10/7-9/8-9/7
| | werckismic
| werckismic
| 1/1-9/8-9/7-10/7
| 1/1-8/7-14/11-16/9
| 1/1-10/9-14/9-7/4
| 1/1-7/5-11/7-9/5
|-
|-
| | 94
| 94
| | 0-9-18-21
| 0-9-18-21
| | 1-3/2-9/8-9/7
| 1-3/2-9/8-9/7
| | utonal
| utonal
| 1/1-9/8-9/7-3/2
| 1/1-8/7-4/3-16/9
| 1/1-7/6-14/9-7/4
| 1/1-4/3-3/2-12/7
|-
|-
| | 95
| 95
| | 0-10-18-21
| 0-10-18-21
| | 1-11/7-9/8-9/7
| 1-11/7-9/8-9/7
| | werckismic
| werckismic
| 1/1-9/8-9/7-11/7
| 1/1-8/7-7/5-16/9
| 1/1-11/9-14/9-7/4
| 1/1-14/11-10/7-18/11
|-
|-
| | 96
| 96
| | 0-11-18-21
| 0-11-18-21
| | 1-18/11-9/8-9/7
| 1-18/11-9/8-9/7
| | utonal
| utonal
| 1/1-9/8-9/7-18/11
| 1/1-8/7-16/11-16/9
| 1/1-14/11-14/9-7/4
| 1/1-11/9-11/8-11/7
|-
|-
| | 97
| 97
| | 0-13-18-21
| 0-13-18-21
| | 1-9/5-9/8-9/7
| 1-9/5-9/8-9/7
| | utonal
| utonal
| 1/1-9/8-9/7-9/5
| 1/1-8/7-8/5-16/9
| 1/1-7/5-14/9-7/4
| 1/1-10/9-5/4-10/7
|}
|}


=Pentads=
== Pentads ==
 
{| class="wikitable center-1"
{| class="wikitable"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
! As generated
! 1st inversion
! 2nd inversion
! 3rd inversion
! 4th inversion
|-
|-
| | 1
| 1
| | 0-2-4-7-9
| 0-2-4-7-9
| | 1-11/10-6/5-11/8-3/2
| 1-11/10-6/5-11/8-3/2
| | zeus
| zeus
| 1/1-11/10-6/5-11/8-3/2
| 1/1-11/10-5/4-11/8-11/6
| 1/1-8/7-5/4-5/3-11/6
| 1/1-11/10-16/11-8/5-7/4
| 1/1-4/3-16/11-8/5-11/6
|-
|-
| | 2
| 2
| | 0-2-5-7-9
| 0-2-5-7-9
| | 1-11/10-5/4-11/8-3/2
| 1-11/10-5/4-11/8-3/2
| | zeus
| zeus
| 1/1-11/10-5/4-11/8-3/2
| 1/1-8/7-5/4-11/8-11/6
| 1/1-11/10-6/5-8/5-7/4
| 1/1-11/10-16/11-8/5-11/6
| 1/1-4/3-16/11-5/3-11/6
|-
|-
| | 3
| 3
| | 0-2-5-7-10
| 0-2-5-7-10
| | 1-11/10-5/4-11/8-11/7
| 1-11/10-5/4-11/8-11/7
| | valinorsmic
| valinorsmic
| 1/1-11/10-5/4-11/8-11/7
| 1/1-8/7-5/4-10/7-11/6
| 1/1-11/10-5/4-8/5-7/4
| 1/1-8/7-16/11-8/5-11/6
| 1/1-14/11-7/5-8/5-7/4
|-
|-
| | 4
| 4
| | 0-3-5-7-10
| 0-3-5-7-10
| | 1-8/7-5/4-11/8-11/7
| 1-8/7-5/4-11/8-11/7
| | zeus
| zeus
| 1/1-8/7-5/4-11/8-11/7
| 1/1-11/10-6/5-11/8-7/4
| 1/1-11/10-5/4-8/5-11/6
| 1/1-8/7-16/11-5/3-11/6
| 1/1-14/11-16/11-8/5-7/4
|-
|-
| | 5
| 5
| | 0-3-5-8-10
| 0-3-5-8-10
| | 1-8/7-5/4-10/7-11/7
| 1-8/7-5/4-10/7-11/7
| | valinorsmic
| valinorsmic
| 1/1-8/7-5/4-10/7-11/7
| 1/1-11/10-5/4-11/8-7/4
| 1/1-8/7-5/4-8/5-11/6
| 1/1-11/10-7/5-8/5-7/4
| 1/1-14/11-16/11-8/5-11/6
|-
|-
| | 6
| 6
| | 0-2-4-7-11
| 0-2-4-7-11
| | 1-11/10-6/5-11/8-18/11
| 1-11/10-6/5-11/8-18/11
| | zeus
| zeus
| 1/1-11/10-6/5-11/8-18/11
| 1/1-11/10-5/4-3/2-11/6
| 1/1-8/7-11/8-5/3-11/6
| 1/1-6/5-16/11-8/5-7/4
| 1/1-11/9-4/3-16/11-5/3
|-
|-
| | 7
| 7
| | 0-2-4-9-11
| 0-2-4-9-11
| | 1-11/10-6/5-3/2-18/11
| 1-11/10-6/5-3/2-18/11
| | biyatismic
| biyatismic
| 1/1-11/10-6/5-3/2-18/11
| 1/1-11/10-11/8-3/2-11/6
| 1/1-5/4-11/8-5/3-11/6
| 1/1-11/10-4/3-16/11-8/5
| 1/1-11/9-4/3-16/11-11/6
|-
|-
| | 8
| 8
| | 0-2-7-9-11
| 0-2-7-9-11
| | 1-11/10-11/8-3/2-18/11
| 1-11/10-11/8-3/2-18/11
| | biyatismic
| biyatismic
| 1/1-11/10-11/8-3/2-18/11
| 1/1-5/4-11/8-3/2-11/6
| 1/1-11/10-6/5-16/11-8/5
| 1/1-11/10-4/3-16/11-11/6
| 1/1-11/9-4/3-5/3-11/6
|-
|-
| | 9
| 9
| | 0-4-7-9-11
| 0-4-7-9-11
| | 1-6/5-11/8-3/2-18/11
| 1-6/5-11/8-3/2-18/11
| | zeus
| zeus
| 1/1-6/5-11/8-3/2-18/11
| 1/1-8/7-5/4-11/8-5/3
| 1/1-11/10-6/5-16/11-7/4
| 1/1-11/10-4/3-8/5-11/6
| 1/1-11/9-16/11-5/3-11/6
|-
|-
| | 10
| 10
| | 0-2-4-7-12
| 0-2-4-7-12
| | 1-11/10-6/5-11/8-12/7
| 1-11/10-6/5-11/8-12/7
| | zeus
| zeus
| 1/1-11/10-6/5-11/8-12/7
| 1/1-11/10-5/4-11/7-11/6
| 1/1-8/7-10/7-5/3-11/6
| 1/1-5/4-16/11-8/5-7/4
| 1/1-7/6-14/11-7/5-8/5
|-
|-
| | 11
| 11
| | 0-2-5-7-12
| 0-2-5-7-12
| | 1-11/10-5/4-11/8-12/7
| 1-11/10-5/4-11/8-12/7
| | zeus
| zeus
| 1/1-11/10-5/4-11/8-12/7
| 1/1-8/7-5/4-11/7-11/6
| 1/1-11/10-11/8-8/5-7/4
| 1/1-5/4-16/11-8/5-11/6
| 1/1-7/6-14/11-16/11-8/5
|-
|-
| | 12
| 12
| | 0-3-5-7-12
| 0-3-5-7-12
| | 1-8/7-5/4-11/8-12/7
| 1-8/7-5/4-11/8-12/7
| | zeus
| zeus
| 1/1-8/7-5/4-11/8-12/7
| 1/1-11/10-6/5-3/2-7/4
| 1/1-11/10-11/8-8/5-11/6
| 1/1-5/4-16/11-5/3-11/6
| 1/1-7/6-4/3-16/11-8/5
|-
|-
| | 13
| 13
| | 0-3-5-8-12
| 0-3-5-8-12
| | 1-8/7-5/4-10/7-12/7
| 1-8/7-5/4-10/7-12/7
| | zeus
| zeus
| 1/1-8/7-5/4-10/7-12/7
| 1/1-11/10-5/4-3/2-7/4
| 1/1-8/7-11/8-8/5-11/6
| 1/1-6/5-7/5-8/5-7/4
| 1/1-7/6-4/3-16/11-5/3
|-
|-
| | 14
| 14
| | 0-2-4-9-12
| 0-2-4-9-12
| | 1-12/11-6/5-3/2-12/7
| 1-11/10-6/5-3/2-12/7
| | utonal
| utonal
| 1/1-11/10-6/5-3/2-12/7
| 1/1-11/10-11/8-11/7-11/6
| 1/1-5/4-10/7-5/3-11/6
| 1/1-8/7-4/3-16/11-8/5
| 1/1-7/6-14/11-7/5-7/4
|-
|-
| | 15
| 15
| | 0-2-5-9-12
| 0-2-5-9-12
| | 1-11/10-5/4-3/2-12/7
| 1-11/10-5/4-3/2-12/7
| | zeus
| zeus
| 1/1-11/10-5/4-3/2-12/7
| 1/1-8/7-11/8-11/7-11/6
| 1/1-6/5-11/8-8/5-7/4
| 1/1-8/7-4/3-16/11-5/3
| 1/1-7/6-14/11-16/11-7/4
|-
|-
| | 16
| 16
| | 0-2-7-9-12
| 0-2-7-9-12
| | 1-11/10-11/8-3/2-12/7
| 1-11/10-11/8-3/2-12/7
| | zeus
| zeus
| 1/1-11/10-11/8-3/2-12/7
| 1/1-5/4-11/8-11/7-11/6
| 1/1-11/10-5/4-16/11-8/5
| 1/1-8/7-4/3-16/11-11/6
| 1/1-7/6-14/11-8/5-7/4
|-
|-
| | 17
| 17
| | 0-4-7-9-12
| 0-4-7-9-12
| | 1-6/5-11/8-3/2-12/7
| 1-6/5-11/8-3/2-12/7
| | zeus
| zeus
| 1/1-6/5-11/8-3/2-12/7
| 1/1-8/7-5/4-10/7-5/3
| 1/1-11/10-5/4-16/11-7/4
| 1/1-8/7-4/3-8/5-11/6
| 1/1-7/6-7/5-8/5-7/4
|-
|-
| | 18
| 18
| | 0-5-7-9-12
| 0-5-7-9-12
| | 1-5/4-11/8-3/2-12/7
| 1-5/4-11/8-3/2-12/7
| | zeus
| zeus
| 1/1-5/4-11/8-3/2-12/7
| 1/1-11/10-6/5-11/8-8/5
| 1/1-11/10-5/4-16/11-11/6
| 1/1-8/7-4/3-5/3-11/6
| 1/1-7/6-16/11-8/5-7/4
|-
|-
| | 19
| 19
| | 0-2-5-10-12
| 0-2-5-10-12
| | 1-11/10-5/4-11/7-12/7
| 1-11/10-5/4-11/7-12/7
| | zeus
| zeus
| 1/1-11/10-5/4-11/7-12/7
| 1/1-8/7-10/7-11/7-11/6
| 1/1-5/4-11/8-8/5-7/4
| 1/1-11/10-14/11-7/5-8/5
| 1/1-7/6-14/11-16/11-11/6
|-
|-
| | 20
| 20
| | 0-3-5-10-12
| 0-3-5-10-12
| | 1-8/7-5/4-11/7-12/7
| 1-8/7-5/4-11/7-12/7
| | zeus
| zeus
| 1/1-8/7-5/4-11/7-12/7
| 1/1-11/10-11/8-3/2-7/4
| 1/1-5/4-11/8-8/5-11/6
| 1/1-11/10-14/11-16/11-8/5
| 1/1-7/6-4/3-16/11-11/6
|-
|-
| | 21
| 21
| | 0-2-7-10-12
| 0-2-7-10-12
| | 1-11/10-11/8-11/7-12/7
| 1-11/10-11/8-11/7-12/7
| | zeus
| zeus
| 1/1-11/10-11/8-11/7-12/7
| 1/1-5/4-10/7-11/7-11/6
| 1/1-8/7-5/4-16/11-8/5
| 1/1-11/10-14/11-7/5-7/4
| 1/1-7/6-14/11-8/5-11/6
|-
|-
| | 22
| 22
| | 0-3-7-10-12
| 0-3-7-10-12
| | 1-8/7-11/8-11/7-12/7
| 1-8/7-11/8-11/7-12/7
| | zeus
| zeus
| 1/1-8/7-11/8-11/7-12/7
| 1/1-6/5-11/8-3/2-7/4
| 1/1-8/7-5/4-16/11-5/3
| 1/1-11/10-14/11-16/11-7/4
| 1/1-7/6-4/3-8/5-11/6
|-
|-
| | 23
| 23
| | 0-5-7-10-12
| 0-5-7-10-12
| | 1-5/4-11/8-11/7-12/7
| 1-5/4-11/8-11/7-12/7
| | zeus
| zeus
| 1/1-5/4-11/8-11/7-12/7
| 1/1-11/10-5/4-11/8-8/5
| 1/1-8/7-5/4-16/11-11/6
| 1/1-11/10-14/11-8/5-7/4
| 1/1-7/6-16/11-8/5-11/6
|-
|-
| | 24
| 24
| | 0-3-8-10-12
| 0-3-8-10-12
| | 1-8/7-10/7-11/7-12/7
| 1-8/7-10/7-11/7-12/7
| | otonal
| otonal
| 1/1-8/7-10/7-11/7-12/7
| 1/1-5/4-11/8-3/2-7/4
| 1/1-11/10-6/5-7/5-8/5
| 1/1-11/10-14/11-16/11-11/6
| 1/1-7/6-4/3-5/3-11/6
|-
|-
| | 25
| 25
| | 0-5-8-10-12
| 0-5-8-10-12
| | 1-5/4-10/7-11/7-12/7
| 1-5/4-10/7-11/7-12/7
| | zeus
| zeus
| 1/1-5/4-10/7-11/7-12/7
| 1/1-8/7-5/4-11/8-8/5
| 1/1-11/10-6/5-7/5-7/4
| 1/1-11/10-14/11-8/5-11/6
| 1/1-7/6-16/11-5/3-11/6
|-
|-
| | 26
| 26
| | 0-3-5-8-13
| 0-3-5-8-13
| | 1-8/7-5/4-10/7-9/5
| 1-8/7-5/4-10/7-9/5
| | thrush
| thrush
| 1/1-8/7-5/4-10/7-9/5
| 1/1-11/10-5/4-11/7-7/4
| 1/1-8/7-10/7-8/5-11/6
| 1/1-5/4-7/5-8/5-7/4
| 1/1-10/9-14/11-7/5-8/5
|-
|-
| | 27
| 27
| | 0-2-4-9-13
| 0-2-4-9-13
| | 1-11/10-6/5-3/2-9/5
| 1-11/10-6/5-3/2-9/5
| | biyatismic
| biyatismic
| 1/1-11/10-6/5-3/2-9/5
| 1/1-11/10-11/8-18/11-11/6
| 1/1-5/4-3/2-5/3-11/6
| 1/1-6/5-4/3-16/11-8/5
| 1/1-10/9-11/9-4/3-5/3
|-
|-
| | 28
| 28
| | 0-2-5-9-13
| 0-2-5-9-13
| | 1-11/10-5/4-3/2-9/5
| 1-11/10-5/4-3/2-9/5
| | valentine
| valentine
| 1/1-11/10-5/4-3/2-9/5
| 1/1-8/7-11/8-18/11-11/6
| 1/1-6/5-10/7-8/5-7/4
| 1/1-6/5-4/3-16/11-5/3
| 1/1-10/9-11/9-7/5-5/3
|-
|-
| | 29
| 29
| | 0-2-5-10-13
| 0-2-5-10-13
| | 1-11/10-5/4-11/7-9/5
| 1-11/10-5/4-11/7-9/5
| | thrush
| thrush
| 1/1-11/10-5/4-11/7-9/5
| 1/1-8/7-10/7-18/11-11/6
| 1/1-5/4-10/7-8/5-7/4
| 1/1-8/7-14/11-7/5-8/5
| 1/1-10/9-11/9-7/5-7/4
|-
|-
| | 30
| 30
| | 0-3-5-10-13
| 0-3-5-10-13
| | 1-8/7-5/4-11/7-9/5
| 1-8/7-5/4-11/7-9/5
| | thrush
| thrush
| 1/1-8/7-5/4-11/7-9/5
| 1/1-11/10-11/8-11/7-7/4
| 1/1-5/4-10/7-8/5-11/6
| 1/1-8/7-14/11-16/11-8/5
| 1/1-10/9-14/11-7/5-7/4
|-
|-
| | 31
| 31
| | 0-3-8-10-13
| 0-3-8-10-13
| | 1-8/7-10/7-11/7-9/5
| 1-8/7-10/7-11/7-9/5
| | thrush
| thrush
| 1/1-8/7-10/7-11/7-9/5
| 1/1-5/4-11/8-11/7-7/4
| 1/1-11/10-5/4-7/5-8/5
| 1/1-8/7-14/11-16/11-11/6
| 1/1-10/9-14/11-8/5-7/4
|-
|-
| | 32
| 32
| | 0-5-8-10-13
| 0-5-8-10-13
| | 1-5/4-10/7-11/7-9/5
| 1-5/4-10/7-11/7-9/5
| | thrush
| thrush
| 1/1-5/4-10/7-11/7-9/5
| 1/1-8/7-5/4-10/7-8/5
| 1/1-11/10-5/4-7/5-7/4
| 1/1-8/7-14/11-8/5-11/6
| 1/1-10/9-7/5-8/5-7/4
|-
|-
| | 33
| 33
| | 0-2-4-11-13
| 0-2-4-11-13
| | 1-11/10-6/5-18/11-9/5
| 1-11/10-6/5-18/11-9/5
| | biyatismic
| biyatismic
| 1/1-11/10-6/5-18/11-9/5
| 1/1-11/10-3/2-18/11-11/6
| 1/1-11/8-3/2-5/3-11/6
| 1/1-11/10-11/9-4/3-16/11
| 1/1-10/9-11/9-4/3-11/6
|-
|-
| | 34
| 34
| | 0-3-8-11-13
| 0-3-8-11-13
| | 1-8/7-10/7-18/11-9/5
| 1-8/7-10/7-18/11-9/5
| | thrush
| thrush
| 1/1-8/7-10/7-18/11-9/5
| 1/1-5/4-10/7-11/7-7/4
| 1/1-8/7-5/4-7/5-8/5
| 1/1-11/10-11/9-7/5-7/4
| 1/1-10/9-14/11-8/5-11/6
|-
|-
| | 35
| 35
| | 0-4-8-11-13
| 0-4-8-11-13
| | 1-6/5-10/7-18/11-9/5
| 1-6/5-10/7-18/11-9/5
| | valentine
| valentine
| 1/1-6/5-10/7-18/11-9/5
| 1/1-6/5-11/8-3/2-5/3
| 1/1-8/7-5/4-7/5-5/3
| 1/1-11/10-11/9-16/11-7/4
| 1/1-10/9-4/3-8/5-11/6
|-
|-
| | 36
| 36
| | 0-2-9-11-13
| 0-2-9-11-13
| | 1-11/10-3/2-18/11-9/5
| 1-11/10-3/2-18/11-9/5
| | biyatismic
| biyatismic
| 1/1-11/10-3/2-18/11-9/5
| 1/1-11/8-3/2-18/11-11/6
| 1/1-11/10-6/5-4/3-16/11
| 1/1-11/10-11/9-4/3-11/6
| 1/1-10/9-11/9-5/3-11/6
|-
|-
| | 37
| 37
| | 0-4-9-11-13
| 0-4-9-11-13
| | 1-6/5-3/2-18/11-9/5
| 1-6/5-3/2-18/11-9/5
| | biyatismic
| biyatismic
| 1/1-6/5-3/2-18/11-9/5
| 1/1-5/4-11/8-3/2-5/3
| 1/1-11/10-6/5-4/3-8/5
| 1/1-11/10-11/9-16/11-11/6
| 1/1-10/9-4/3-5/3-11/6
|-
|-
| | 38
| 38
| | 0-5-7-9-18
| 0-5-7-9-18
| | 1-5/4-11/8-3/2-9/8
| 1-5/4-11/8-3/2-9/8
| | otonal
| otonal
| 1/1-9/8-5/4-11/8-3/2
| 1/1-10/9-11/9-4/3-16/9
| 1/1-11/10-6/5-8/5-9/5
| 1/1-11/10-16/11-18/11-11/6
| 1/1-4/3-3/2-5/3-11/6
|-
|-
| | 39
| 39
| | 0-5-7-10-18
| 0-5-7-10-18
| | 1-5/4-11/8-11/7-9/8
| 1-5/4-11/8-11/7-9/8
| | thrush
| thrush
| 1/1-9/8-5/4-11/8-11/7
| 1/1-10/9-11/9-7/5-16/9
| 1/1-11/10-5/4-8/5-9/5
| 1/1-8/7-16/11-18/11-11/6
| 1/1-14/11-10/7-8/5-7/4
|-
|-
| | 40
| 40
| | 0-5-8-10-18
| 0-5-8-10-18
| | 1-5/4-10/7-11/7-9/8
| 1-5/4-10/7-11/7-9/8
| | thrush
| thrush
| 1/1-9/8-5/4-10/7-11/7
| 1/1-10/9-14/11-7/5-16/9
| 1/1-8/7-5/4-8/5-9/5
| 1/1-11/10-7/5-11/7-7/4
| 1/1-14/11-10/7-8/5-11/6
|-
|-
| | 41
| 41
| | 0-7-9-11-18
| 0-7-9-11-18
| | 1-11/8-3/2-18/11-9/8
| 1-11/8-3/2-18/11-9/8
| | biyatismic
| biyatismic
| 1/1-9/8-11/8-3/2-18/11
| 1/1-11/9-4/3-16/11-16/9
| 1/1-11/10-6/5-16/11-18/11
| 1/1-11/10-4/3-3/2-11/6
| 1/1-11/9-11/8-5/3-11/6
|-
|-
| | 42
| 42
| | 0-5-8-13-18
| 0-5-8-13-18
| | 1-5/4-10/7-9/5-9/8
| 1-5/4-10/7-9/5-9/8
| | thrush
| thrush
| 1/1-9/8-5/4-10/7-9/5
| 1/1-10/9-14/11-8/5-16/9
| 1/1-8/7-10/7-8/5-9/5
| 1/1-5/4-7/5-11/7-7/4
| 1/1-10/9-5/4-7/5-8/5
|-
|-
| | 43
| 43
| | 0-5-9-13-18
| 0-5-9-13-18
| | 1-5/4-3/2-9/5-9/8
| 1-5/4-3/2-9/5-9/8
| | starling
| starling
| 1/1-9/8-5/4-3/2-9/5
| 1/1-10/9-4/3-8/5-16/9
| 1/1-6/5-10/7-8/5-9/5
| 1/1-6/5-4/3-3/2-5/3
| 1/1-10/9-5/4-7/5-5/3
|-
|-
| | 44
| 44
| | 0-5-10-13-18
| 0-5-10-13-18
| | 1-5/4-11/7-9/5-9/8
| 1-5/4-11/7-9/5-9/8
| | thrush
| thrush
| 1/1-9/8-5/4-11/7-9/5
| 1/1-10/9-7/5-8/5-16/9
| 1/1-5/4-10/7-8/5-9/5
| 1/1-8/7-14/11-10/7-8/5
| 1/1-10/9-5/4-7/5-7/4
|-
|-
| | 45
| 45
| | 0-8-10-13-18
| 0-8-10-13-18
| | 1-10/7-11/7-9/5-9/8
| 1-10/7-11/7-9/5-9/8
| | thrush
| thrush
| 1/1-9/8-10/7-11/7-9/5
| 1/1-14/11-7/5-8/5-16/9
| 1/1-11/10-5/4-7/5-11/7
| 1/1-8/7-14/11-10/7-11/6
| 1/1-10/9-5/4-8/5-7/4
|-
|-
| | 46
| 46
| | 0-8-11-13-18
| 0-8-11-13-18
| | 1-10/7-18/11-9/5-9/8
| 1-10/7-18/11-9/5-9/8
| | thrush
| thrush
| 1/1-9/8-10/7-18/11-9/5
| 1/1-14/11-16/11-8/5-16/9
| 1/1-8/7-5/4-7/5-11/7
| 1/1-11/10-11/9-11/8-7/4
| 1/1-10/9-5/4-8/5-11/6
|-
|-
| | 47
| 47
| | 0-9-11-13-18
| 0-9-11-13-18
| | 1-3/2-18/11-9/5-9/8
| 1-3/2-18/11-9/5-9/8
| | utonal
| utonal
| 1/1-9/8-3/2-18/11-9/5
| 1/1-4/3-16/11-8/5-16/9
| 1/1-11/10-6/5-4/3-3/2
| 1/1-11/10-11/9-11/8-11/6
| 1/1-10/9-5/4-5/3-11/6
|-
|-
| | 48
| 48
| | 0-3-8-10-21
| 0-3-8-10-21
| | 1-8/7-10/7-11/7-9/7
| 1-8/7-10/7-11/7-9/7
| | otonal
| otonal
| 1/1-8/7-9/7-10/7-11/7
| 1/1-9/8-5/4-11/8-7/4
| 1/1-10/9-11/9-14/9-16/9
| 1/1-11/10-7/5-8/5-9/5
| 1/1-14/11-16/11-18/11-11/6
|-
|-
| | 49
| 49
| | 0-3-8-11-21
| 0-3-8-11-21
| | 1-8/7-10/7-18/11-9/7
| 1-8/7-10/7-18/11-9/7
| | werckismic
| werckismic
| 1/1-8/7-9/7-10/7-18/11
| 1/1-9/8-5/4-10/7-7/4
| 1/1-10/9-14/11-14/9-16/9
| 1/1-8/7-7/5-8/5-9/5
| 1/1-11/9-7/5-11/7-7/4
|-
|-
| | 50
| 50
| | 0-3-8-12-21
| 0-3-8-12-21
| | 1-8/7-10/7-12/7-9/7
| 1-8/7-10/7-12/7-9/7
| | otonal
| otonal
| 1/1-8/7-9/7-10/7-12/7
| 1/1-9/8-5/4-3/2-7/4
| 1/1-10/9-4/3-14/9-16/9
| 1/1-6/5-7/5-8/5-9/5
| 1/1-7/6-4/3-3/2-5/3
|-
|-
| | 51
| 51
| | 0-3-10-12-21
| 0-3-10-12-21
| | 1-8/7-11/7-12/7-9/7
| 1-8/7-11/7-12/7-9/7
| | otonal
| otonal
| 1/1-8/7-9/7-11/7-12/7
| 1/1-9/8-11/8-3/2-7/4
| 1/1-11/9-4/3-14/9-16/9
| 1/1-11/10-14/11-16/11-18/11
| 1/1-7/6-4/3-3/2-11/6
|-
|-
| | 52
| 52
| | 0-8-10-12-21
| 0-8-10-12-21
| | 1-10/7-11/7-12/7-9/7
| 1-10/7-11/7-12/7-9/7
| | otonal
| otonal
| 1/1-9/7-10/7-11/7-12/7
| 1/1-10/9-11/9-4/3-14/9
| 1/1-11/10-6/5-7/5-9/5
| 1/1-11/10-14/11-18/11-11/6
| 1/1-7/6-3/2-5/3-11/6
|-
|-
| | 53
| 53
| | 0-3-8-13-21
| 0-3-8-13-21
| | 1-8/7-10/7-9/5-9/7
| 1-8/7-10/7-9/5-9/7
| | thrush
| thrush
| 1/1-8/7-9/7-10/7-9/5
| 1/1-9/8-5/4-11/7-7/4
| 1/1-10/9-7/5-14/9-16/9
| 1/1-5/4-7/5-8/5-9/5
| 1/1-10/9-14/11-10/7-8/5
|-
|-
| | 54
| 54
| | 0-3-10-13-21
| 0-3-10-13-21
| | 1-8/7-11/7-9/5-9/7
| 1-8/7-11/7-9/5-9/7
| | werckismic
| werckismic
| 1/1-8/7-9/7-11/7-9/5
| 1/1-9/8-11/8-11/7-7/4
| 1/1-11/9-7/5-14/9-16/9
| 1/1-8/7-14/11-16/11-18/11
| 1/1-10/9-14/11-10/7-7/4
|-
|-
| | 55
| 55
| | 0-8-10-13-21
| 0-8-10-13-21
| | 1-10/7-11/7-9/5-9/7
| 1-10/7-11/7-9/5-9/7
| | thrush
| thrush
| 1/1-9/7-10/7-11/7-9/5
| 1/1-10/9-11/9-7/5-14/9
| 1/1-11/10-5/4-7/5-9/5
| 1/1-8/7-14/11-18/11-11/6
| 1/1-10/9-10/7-8/5-7/4
|-
|-
| | 56
| 56
| | 0-3-11-13-21
| 0-3-11-13-21
| | 1-8/7-18/11-9/5-9/7
| 1-8/7-18/11-9/5-9/7
| | werckismic
| werckismic
| 1/1-8/7-9/7-18/11-9/5
| 1/1-9/8-10/7-11/7-7/4
| 1/1-14/11-7/5-14/9-16/9
| 1/1-11/10-11/9-7/5-11/7
| 1/1-10/9-14/11-10/7-11/6
|-
|-
| | 57
| 57
| | 0-8-11-13-21
| 0-8-11-13-21
| | 1-10/7-18/11-9/5-9/7
| 1-10/7-18/11-9/5-9/7
| | thrush
| thrush
| 1/1-9/7-10/7-18/11-9/5
| 1/1-10/9-14/11-7/5-14/9
| 1/1-8/7-5/4-7/5-9/5
| 1/1-11/10-11/9-11/7-7/4
| 1/1-10/9-10/7-8/5-11/6
|-
|-
| | 58
| 58
| | 0-9-11-13-21
| 0-9-11-13-21
| | 1-3/2-18/11-9/5-9/7
| 1-3/2-18/11-9/5-9/7
| | utonal
| utonal
| 1/1-9/7-3/2-18/11-9/5
| 1/1-7/6-14/11-7/5-14/9
| 1/1-11/10-6/5-4/3-12/7
| 1/1-11/10-11/9-11/7-11/6
| 1/1-10/9-10/7-5/3-11/6
|-
|-
| | 59
| 59
| | 0-8-10-18-21
| 0-8-10-18-21
| | 1-10/7-11/7-9/8-9/7
| 1-10/7-11/7-9/8-9/7
| | werckismic
| werckismic
| 1/1-9/8-9/7-10/7-11/7
| 1/1-8/7-14/11-7/5-16/9
| 1/1-10/9-11/9-14/9-7/4
| 1/1-11/10-7/5-11/7-9/5
| 1/1-14/11-10/7-18/11-11/6
|-
|-
| | 60
| 60
| | 0-8-11-18-21
| 0-8-11-18-21
| | 1-10/7-18/11-9/8-9/7
| 1-10/7-18/11-9/8-9/7
| | werckismic
| werckismic
| 1/1-9/8-9/7-10/7-18/11
| 1/1-8/7-14/11-16/11-16/9
| 1/1-10/9-14/11-14/9-7/4
| 1/1-8/7-7/5-11/7-9/5
| 1/1-11/9-11/8-11/7-7/4
|-
|-
| | 61
| 61
| | 0-9-11-18-21
| 0-9-11-18-21
| | 1-3/2-18/11-9/8-9/7
| 1-3/2-18/11-9/8-9/7
| | utonal
| utonal
| 1/1-9/8-9/7-3/2-18/11
| 1/1-8/7-4/3-16/11-16/9
| 1/1-7/6-14/11-14/9-7/4
| 1/1-11/10-4/3-3/2-12/7
| 1/1-11/9-11/8-11/7-11/6
|-
|-
| | 62
| 62
| | 0-8-13-18-21
| 0-8-13-18-21
| | 1-10/7-9/5-9/8-9/7
| 1-10/7-9/5-9/8-9/7
| | thrush
| thrush
| 1/1-9/8-9/7-10/7-9/5
| 1/1-8/7-14/11-8/5-16/9
| 1/1-10/9-7/5-14/9-7/4
| 1/1-5/4-7/5-11/7-9/5
| 1/1-10/9-5/4-10/7-8/5
|-
|-
| | 63
| 63
| | 0-9-13-18-21
| 0-9-13-18-21
| | 1-3/2-9/5-9/8-9/7
| 1-3/2-9/5-9/8-9/7
| | utonal
| utonal
| 1/1-9/8-9/7-3/2-9/5
| 1/1-8/7-4/3-8/5-16/9
| 1/1-7/6-7/5-14/9-7/4
| 1/1-6/5-4/3-3/2-12/7
| 1/1-10/9-5/4-10/7-5/3
|-
|-
| | 64
| 64
| | 0-10-13-18-21
| 0-10-13-18-21
| | 1-11/7-9/5-9/8-9/7
| 1-11/7-9/5-9/8-9/7
| | werckismic
| werckismic
| 1/1-9/8-9/7-11/7-9/5
| 1/1-8/7-7/5-8/5-16/9
| 1/1-11/9-7/5-14/9-7/4
| 1/1-8/7-14/11-10/7-18/11
| 1/1-10/9-5/4-10/7-7/4
|-
|-
| | 65
| 65
| | 0-11-13-18-21
| 0-11-13-18-21
| | 1-18/11-9/5-9/8-9/7
| 1-18/11-9/5-9/8-9/7
| | utonal
| utonal
| 1/1-9/8-9/7-18/11-9/5
| 1/1-8/7-16/11-8/5-16/9
| 1/1-14/11-7/5-14/9-7/4
| 1/1-11/10-11/9-11/8-11/7
| 1/1-10/9-5/4-10/7-11/6
|}
|}


=Hexads=
== Hexads ==
 
{| class="wikitable center-1"
{| class="wikitable"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
! As generated
! 1st inversion
! 2nd inversion
! 3rd inversion
! 4th inversion
! 5th inversion
|-
|-
| | 1
| 1
| | 0-2-4-7-9-11
| 0-2-4-7-9-11
| | 1-11/10-6/5-11/8-3/2-18/11
| 1-11/10-6/5-11/8-3/2-18/11
| | zeus
| zeus
| 1/1-11/10-6/5-11/8-3/2-18/11
| 1/1-11/10-5/4-11/8-3/2-11/9
| 1/1-8/7-5/4-11/8-5/3-11/6
| 1/1-11/10-6/5-16/11-8/5-7/4
| 1/1-11/10-4/3-16/11-8/5-11/6
| 1/1-11/9-4/3-16/11-5/3-11/6
|-
|-
| | 2
| 2
| | 0-2-4-7-9-12
| 0-2-4-7-9-12
| | 1-11/10-6/5-11/8-3/2-12/7
| 1-11/10-6/5-11/8-3/2-12/7
| | zeus
| zeus
| 1/1-11/10-6/5-11/8-3/2-12/7
| 1/1-11/10-5/4-11/8-11/7-7/6
| 1/1-8/7-5/4-10/7-5/3-11/6
| 1/1-11/10-5/4-16/11-8/5-7/4
| 1/1-8/7-4/3-16/11-8/5-11/6
| 1/1-7/6-14/11-7/5-8/5-7/4
|-
|-
| | 3
| 3
| | 0-2-5-7-9-12
| 0-2-5-7-9-12
| | 1-11/10-5/4-11/8-3/2-12/7
| 1-11/10-5/4-11/8-3/2-12/7
| | zeus
| zeus
| 1/1-11/10-5/4-11/8-3/2-12/7
| 1/1-8/7-5/4-11/8-11/7-7/6
| 1/1-11/10-6/5-11/8-8/5-7/4
| 1/1-11/10-5/4-16/11-8/5-11/6
| 1/1-8/7-4/3-16/11-5/3-11/6
| 1/1-7/6-14/11-16/11-8/5-7/4
|-
|-
| | 4
| 4
| | 0-2-5-7-10-12
| 0-2-5-7-10-12
| | 1-11/10-5/4-11/8-11/7-12/7
| 1-11/10-5/4-11/8-11/7-12/7
| | zeus
| zeus
| 1/1-11/10-5/4-11/8-11/7-12/7
| 1/1-8/7-5/4-10/7-11/7-7/6
| 1/1-11/10-5/4-11/8-8/5-7/4
| 1/1-8/7-5/4-16/11-8/5-11/6
| 1/1-11/10-14/11-7/5-8/5-7/4
| 1/1-7/6-14/11-16/11-8/5-11/6
|-
|-
| | 5
| 5
| | 0-3-5-7-10-12
| 0-3-5-7-10-12
| | 1-8/7-5/4-11/8-11/7-12/7
| 1-8/7-5/4-11/8-11/7-12/7
| | zeus
| zeus
| 1/1-8/7-5/4-11/8-11/7-12/7
| 1/1-11/10-6/5-11/8-3/2-7/6
| 1/1-11/10-5/4-11/8-8/5-11/6
| 1/1-8/7-5/4-16/11-5/3-11/6
| 1/1-11/10-14/11-16/11-8/5-7/4
| 1/1-7/6-4/3-16/11-8/5-11/6
|-
|-
| | 6
| 6
| | 0-3-5-8-10-12
| 0-3-5-8-10-12
| | 1-8/7-5/4-10/7-11/7-12/7
| 1-8/7-5/4-10/7-11/7-12/7
| | zeus
| zeus
| 1/1-8/7-5/4-10/7-11/7-12/7
| 1/1-11/10-5/4-11/8-3/2-7/6
| 1/1-8/7-5/4-11/8-8/5-11/6
| 1/1-11/10-6/5-7/5-8/5-7/4
| 1/1-11/10-14/11-16/11-8/5-11/6
| 1/1-7/6-4/3-16/11-5/3-11/6
|-
|-
| | 7
| 7
| | 0-3-5-8-10-13
| 0-3-5-8-10-13
| | 1-8/7-5/4-10/7-11/7-9/5
| 1-8/7-5/4-10/7-11/7-9/5
| | thrush
| thrush
| 1/1-8/7-5/4-10/7-11/7-9/5
| 1/1-11/10-5/4-11/8-11/7-10/9
| 1/1-8/7-5/4-10/7-8/5-11/6
| 1/1-11/10-5/4-7/5-8/5-7/4
| 1/1-8/7-14/11-16/11-8/5-11/6
| 1/1-10/9-14/11-7/5-8/5-7/4
|-
|-
| | 8
| 8
| | 0-2-4-9-11-13
| 0-2-4-9-11-13
| | 1-11/10-6/5-3/2-18/11-9/5
| 1-11/10-6/5-3/2-18/11-9/5
| | biyatismic
| biyatismic
| 1/1-11/10-6/5-3/2-18/11-9/5
| 1/1-11/10-11/8-3/2-18/11-10/9
| 1/1-5/4-11/8-3/2-5/3-11/6
| 1/1-11/10-6/5-4/3-16/11-8/5
| 1/1-11/10-11/9-4/3-16/11-11/6
| 1/1-10/9-11/9-4/3-5/3-11/6
|-
|-
| | 9
| 9
| | 0-5-8-10-13-18
| 0-5-8-10-13-18
| | 1-5/4-10/7-11/7-9/5-9/8
| 1-5/4-10/7-11/7-9/5-9/8
| | thrush
| thrush
| 1/1-9/8-5/4-10/7-11/7-9/5
| 1/1-10/9-14/11-7/5-8/5-10/9
| 1/1-8/7-5/4-10/7-8/5-9/5
| 1/1-11/10-5/4-7/5-11/7-7/4
| 1/1-8/7-14/11-10/7-8/5-11/6
| 1/1-10/9-5/4-7/5-8/5-7/4
|-
|-
| | 10
| 10
| | 0-3-8-10-12-21
| 0-3-8-10-12-21
| | 1-8/7-10/7-11/7-12/7-9/7
| 1-8/7-10/7-11/7-12/7-9/7
| | otonal
| otonal
| 1/1-8/7-9/7-10/7-11/7-12/7
| 1/1-9/8-5/4-11/8-3/2-7/6
| 1/1-10/9-11/9-4/3-14/9-16/9
| 1/1-11/10-6/5-7/5-8/5-9/5
| 1/1-11/10-14/11-16/11-18/11-11/6
| 1/1-7/6-4/3-3/2-5/3-11/6
|-
|-
| | 11
| 11
| | 0-3-8-10-13-21
| 0-3-8-10-13-21
| | 1-8/7-10/7-11/7-9/5-9/7
| 1-8/7-10/7-11/7-9/5-9/7
| | thrush
| thrush
| 1/1-8/7-9/7-10/7-11/7-9/5
| 1/1-9/8-5/4-11/8-11/7-10/9
| 1/1-10/9-11/9-7/5-14/9-16/9
| 1/1-11/10-5/4-7/5-8/5-9/5
| 1/1-8/7-14/11-16/11-18/11-11/6
| 1/1-10/9-14/11-10/7-8/5-7/4
|-
|-
| | 12
| 12
| | 0-3-8-11-13-21
| 0-3-8-11-13-21
| | 1-8/7-10/7-18/11-9/5-9/7
| 1-8/7-10/7-18/11-9/5-9/7
| | thrush
| thrush
| 1/1-8/7-9/7-10/7-18/11-9/5
| 1/1-9/8-5/4-10/7-11/7-10/9
| 1/1-10/9-14/11-7/5-14/9-16/9
| 1/1-8/7-5/4-7/5-8/5-9/5
| 1/1-11/10-11/9-7/5-11/7-7/4
| 1/1-10/9-14/11-10/7-8/5-11/6
|-
|-
| | 13
| 13
| | 0-8-10-13-18-21
| 0-8-10-13-18-21
| | 1-10/7-11/7-9/5-9/8-9/7
| 1-10/7-11/7-9/5-9/8-9/7
| | thrush
| thrush
| 1/1-9/8-9/7-10/7-11/7-9/5
| 1/1-8/7-14/11-7/5-8/5-10/9
| 1/1-10/9-11/9-7/5-14/9-7/4
| 1/1-11/10-5/4-7/5-11/7-9/5
| 1/1-8/7-14/11-10/7-18/11-11/6
| 1/1-10/9-5/4-10/7-8/5-7/4
|-
|-
| | 14
| 14
| | 0-8-11-13-18-21
| 0-8-11-13-18-21
| | 1-10/7-18/11-9/5-9/8-9/7
| 1-10/7-18/11-9/5-9/8-9/7
| | thrush
| thrush
| 1/1-9/8-9/7-10/7-18/11-9/5
| 1/1-8/7-14/11-16/11-8/5-10/9
| 1/1-10/9-14/11-7/5-14/9-7/4
| 1/1-8/7-5/4-7/5-11/7-9/5
| 1/1-11/10-11/9-11/8-11/7-7/4
| 1/1-10/9-5/4-10/7-8/5-11/6
|-
|-
| | 15
| 15
| | 0-9-11-13-18-21
| 0-9-11-13-18-21
| | 1-3/2-18/11-9/5-9/8-9/7
| 1-3/2-18/11-9/5-9/8-9/7
| | utonal
| utonal
| 1/1-9/8-9/7-3/2-18/11-9/5
| 1/1-8/7-4/3-16/11-8/5-10/9
| 1/1-7/6-14/11-7/5-14/9-7/4
| 1/1-11/10-6/5-4/3-3/2-12/7
| 1/1-11/10-11/9-11/8-11/7-11/6
| 1/1-10/9-5/4-10/7-5/3-11/6
|}
|}
[[Category:Lists of chords]]
[[Category:Valentine]]
[[Category:Triads]]
[[Category:Tetrads]]
[[Category:Pentads]]
[[Category:Hexads]]

Latest revision as of 21:52, 22 June 2025

Below are listed the 11-odd-limit dyadic chords of 11-limit valentine temperament. Typing the chords requires consideration of the fact that valentine conflates 12/11 and 11/10 and so also 11/6 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 11/10 and 11/6.

If only 126/125 needs to be tempered out, the chord is labeled starling, if 121/120, biyatismic, if 176/175, valinorsmic, if 385/384, keenanismic, and if 441/440, werckismic. Chords which require any two of 121/120, 176/175 or 385/384 are labeled zeus, if they require any two of 126/125, 176/175 or 441/440, they are labeled thrush. Finally, if they require any three independent commas among those discussed above, it is labeled valentine.

Valentine has mos scales of size 15, 16, 31 and 46. It is readily observed from the list below that even the smallest of these is well-supplied with chords.

Relationship to Carlos Alpha

Because Carlos Alpha is the generator chain of valentine, the list below is also a list of chords of Carlos Alpha, so long as the transversals are adjusted so that the notes are in the correct octave. This means that a number in a chord listed under "chord" less than 16 corresponds to a note in the transversal which should be left unaltered, whereas the notes from 16 to 21 correspond to transversal notes which should be adjusted up an octave. Hence, tetrad 8, the 0–2–5–9 chord with transversal 1–6/5–11/8–3/2, is an essentially zeus chord of Carlos Alpha as well as valentine. On the other hand, tetrad 76, 0–10–13–18 with transversal 1–11/7–9/5–9/8, corresponds to the werckismic 1–11/7–9/5–9/4 chord of Carlos Alpha.

In other words, each chord here has an unlimited number of "voicings" in valentine temperament, but exactly one voicing in Carlos Alpha, because there are no octaves.

Chord ordering

The chords are ordered by generator steps. This chord ordering is useful because you can tell how often it will occur in a scale of valentine.

Example 1: Triad #13 is generators 0–5–9 and is a traditional five-limit major chord, 1–5/4–3/2. It occurs for the first time on the ninth generation, and will therefore occur six times in Valentine[15] (because 15 - 9 = 6).

Example 2: Triad #38 is generators 0–8–13, which is 1–5/4–7/5, occurs for the first time on the thirteenth generation, and therefore appears only twice in Valentine[15] (because 15 - 13 = 2).

Each of the triads generated has three inversions, i.e., can be written starting on any one of the three tones in the triad. Traditional music theory uses a traditional chord, e.g., the major triad, as the basis for the other two inversions. In this list, that place is taken by the chord that gets generated after a certain number of generator steps is taken to reach the tones needed for the chord. This ordering makes it easy to see how often it will occur in a given mos, as noted in the examples above, but it may seem surprising if you are new to it: for example, triad #8 is 1–8/7–10/7, but it might seem more "natural" to use 1–5/4–7/4, which is listed as the second inversion. The same type of thinking goes into the list of tetrads, pentads, and hexads.

Note that, unlike in traditional music theory, there is nothing canonical, key-centric, harmonically relevant, or otherwise musically important about these orderings and inversions. It is just how the math works out.

Triads

# Chord Transversal Type As generated 1st inversion 2nd inversion
1 0-2-4 1-11/10-6/5 otonal 1/1-11/10-6/5 1/1-11/10-11/6 1/1-5/3-11/6
2 0-2-5 1-11/10-5/4 valinorsmic 1/1-11/10-5/4 1/1-8/7-11/6 1/1-8/5-7/4
3 0-3-5 1-8/7-5/4 valinorsmic 1/1-8/7-5/4 1/1-11/10-7/4 1/1-8/5-11/6
4 0-2-7 1-11/10-11/8 utonal 1/1-11/10-11/8 1/1-5/4-11/6 1/1-16/11-8/5
5 0-3-7 1-8/7-11/8 keenanismic 1/1-8/7-11/8 1/1-6/5-7/4 1/1-16/11-5/3
6 0-4-7 1-6/5-11/8 keenanismic 1/1-6/5-11/8 1/1-8/7-5/3 1/1-16/11-7/4
7 0-5-7 1-5/4-11/8 otonal 1/1-5/4-11/8 1/1-11/10-8/5 1/1-16/11-11/6
8 0-3-8 1-8/7-10/7 otonal 1/1-8/7-10/7 1/1-5/4-7/4 1/1-7/5-8/5
9 0-4-8 1-6/5-10/7 starling 1/1-6/5-10/7 1/1-6/5-5/3 1/1-7/5-5/3
10 0-5-8 1-5/4-10/7 utonal 1/1-5/4-10/7 1/1-8/7-8/5 1/1-7/5-7/4
11 0-2-9 1-11/10-3/2 utonal 1/1-11/10-3/2 1/1-11/8-11/6 1/1-4/3-16/11
12 0-4-9 1-6/5-3/2 utonal 1/1-6/5-3/2 1/1-5/4-5/3 1/1-4/3-8/5
13 0-5-9 1-5/4-3/2 otonal 1/1-5/4-3/2 1/1-6/5-8/5 1/1-4/3-5/3
14 0-7-9 1-11/8-3/2 otonal 1/1-11/8-3/2 1/1-11/10-16/11 1/1-4/3-11/6
15 0-2-10 1-11/10-11/7 utonal 1/1-11/10-11/7 1/1-10/7-11/6 1/1-14/11-7/5
16 0-3-10 1-8/7-11/7 otonal 1/1-8/7-11/7 1/1-11/8-7/4 1/1-14/11-16/11
17 0-5-10 1-5/4-11/7 valinorsmic 1/1-5/4-11/7 1/1-5/4-8/5 1/1-14/11-8/5
18 0-7-10 1-11/8-11/7 utonal 1/1-11/8-11/7 1/1-8/7-16/11 1/1-14/11-7/4
19 0-8-10 1-10/7-11/7 otonal 1/1-10/7-11/7 1/1-11/10-7/5 1/1-14/11-11/6
20 0-2-11 1-11/10-18/11 otonal 1/1-11/10-18/11 1/1-3/2-11/6 1/1-11/9-4/3
21 0-3-11 1-8/7-18/11 werckismic 1/1-8/7-18/11 1/1-10/7-7/4 1/1-11/9-7/5
22 0-4-11 1-6/5-18/11 biyatismic 1/1-6/5-18/11 1/1-11/8-5/3 1/1-11/9-16/11
23 0-7-11 1-11/8-18/11 biyatismic 1/1-11/8-18/11 1/1-6/5-16/11 1/1-11/9-5/3
24 0-8-11 1-10/7-18/11 werckismic 1/1-10/7-18/11 1/1-8/7-7/5 1/1-11/9-7/4
25 0-9-11 1-3/2-18/11 utonal 1/1-3/2-18/11 1/1-11/10-4/3 1/1-11/9-11/6
26 0-2-12 1-11/10-12/7 utonal 1/1-11/10-12/7 1/1-11/7-11/6 1/1-7/6-14/11
27 0-3-12 1-8/7-12/7 otonal 1/1-8/7-12/7 1/1-3/2-7/4 1/1-7/6-4/3
28 0-4-12 1-6/5-12/7 utonal 1/1-6/5-12/7 1/1-10/7-5/3 1/1-7/6-7/5
29 0-5-12 1-5/4-12/7 keenanismic 1/1-5/4-12/7 1/1-11/8-8/5 1/1-7/6-16/11
30 0-7-12 1-11/8-12/7 keenanismic 1/1-11/8-12/7 1/1-5/4-16/11 1/1-7/6-8/5
31 0-8-12 1-10/7-12/7 otonal 1/1-10/7-12/7 1/1-6/5-7/5 1/1-7/6-5/3
32 0-9-12 1-3/2-12/7 utonal 1/1-3/2-12/7 1/1-8/7-4/3 1/1-7/6-7/4
33 0-10-12 1-11/7-12/7 otonal 1/1-11/7-12/7 1/1-11/10-14/11 1/1-7/6-11/6
34 0-2-13 1-11/10-9/5 otonal 1/1-11/10-9/5 1/1-18/11-11/6 1/1-10/9-11/9
35 0-3-13 1-8/7-9/5 werckismic 1/1-8/7-9/5 1/1-11/7-7/4 1/1-10/9-14/11
36 0-4-13 1-6/5-9/5 otonal 1/1-6/5-9/5 1/1-3/2-5/3 1/1-10/9-4/3
37 0-5-13 1-5/4-9/5 starling 1/1-5/4-9/5 1/1-10/7-8/5 1/1-10/9-7/5
38 0-8-13 1-10/7-9/5 starling 1/1-10/7-9/5 1/1-5/4-7/5 1/1-10/9-8/5
39 0-9-13 1-3/2-9/5 utonal 1/1-3/2-9/5 1/1-6/5-4/3 1/1-10/9-5/3
40 0-10-13 1-11/7-9/5 werckismic 1/1-11/7-9/5 1/1-8/7-14/11 1/1-10/9-7/4
41 0-11-13 1-18/11-9/5 utonal 1/1-18/11-9/5 1/1-11/10-11/9 1/1-10/9-11/6
42 0-5-18 1-5/4-9/8 otonal 1/1-9/8-5/4 1/1-10/9-16/9 1/1-8/5-9/5
43 0-7-18 1-11/8-9/8 otonal 1/1-9/8-11/8 1/1-11/9-16/9 1/1-16/11-18/11
44 0-8-18 1-10/7-9/8 werckismic 1/1-9/8-10/7 1/1-14/11-16/9 1/1-7/5-11/7
45 0-9-18 1-3/2-9/8 ambitonal 1/1-9/8-3/2 1/1-4/3-16/9 1/1-4/3-3/2
46 0-10-18 1-11/7-9/8 werckismic 1/1-9/8-11/7 1/1-7/5-16/9 1/1-14/11-10/7
47 0-11-18 1-18/11-9/8 utonal 1/1-9/8-18/11 1/1-16/11-16/9 1/1-11/9-11/8
48 0-13-18 1-9/5-9/8 utonal 1/1-9/8-9/5 1/1-8/5-16/9 1/1-10/9-5/4
49 0-3-21 1-8/7-9/7 otonal 1/1-8/7-9/7 1/1-9/8-7/4 1/1-14/9-16/9
50 0-8-21 1-10/7-9/7 otonal 1/1-9/7-10/7 1/1-10/9-14/9 1/1-7/5-9/5
51 0-9-21 1-3/2-9/7 utonal 1/1-9/7-3/2 1/1-7/6-14/9 1/1-4/3-12/7
52 0-10-21 1-11/7-9/7 otonal 1/1-9/7-11/7 1/1-11/9-14/9 1/1-14/11-18/11
53 0-11-21 1-18/11-9/7 utonal 1/1-9/7-18/11 1/1-14/11-14/9 1/1-11/9-11/7
54 0-12-21 1-12/7-9/7 otonal 1/1-9/7-12/7 1/1-4/3-14/9 1/1-7/6-3/2
55 0-13-21 1-9/5-9/7 utonal 1/1-9/7-9/5 1/1-7/5-14/9 1/1-10/9-10/7
56 0-18-21 1-9/8-9/7 utonal 1/1-9/8-9/7 1/1-8/7-16/9 1/1-14/9-7/4

Tetrads

# Chord Transversal Type As generated 1st inversion 2nd inversion 3rd inversion
1 0-2-4-7 1-11/10-6/5-11/8 zeus 1/1-11/10-6/5-11/8 1/1-11/10-5/4-11/6 1/1-8/7-5/3-11/6 1/1-16/11-8/5-7/4
2 0-2-5-7 1-11/10-5/4-11/8 valinorsmic 1/1-11/10-5/4-11/8 1/1-8/7-5/4-11/6 1/1-11/10-8/5-7/4 1/1-16/11-8/5-11/6
3 0-3-5-7 1-8/7-5/4-11/8 zeus 1/1-8/7-5/4-11/8 1/1-11/10-6/5-7/4 1/1-11/10-8/5-11/6 1/1-16/11-5/3-11/6
4 0-3-5-8 1-8/7-5/4-10/7 valinorsmic 1/1-8/7-5/4-10/7 1/1-11/10-5/4-7/4 1/1-8/7-8/5-11/6 1/1-7/5-8/5-7/4
5 0-2-4-9 1-11/10-6/5-3/2 utonal 1/1-11/10-6/5-3/2 1/1-11/10-11/8-11/6 1/1-5/4-5/3-11/6 1/1-4/3-16/11-8/5
6 0-2-5-9 1-11/10-5/4-3/2 zeus 1/1-11/10-5/4-3/2 1/1-8/7-11/8-11/6 1/1-6/5-8/5-7/4 1/1-4/3-16/11-5/3
7 0-2-7-9 1-11/10-11/8-3/2 biyatismic 1/1-11/10-11/8-3/2 1/1-5/4-11/8-11/6 1/1-11/10-16/11-8/5 1/1-4/3-16/11-11/6
8 0-4-7-9 1-6/5-11/8-3/2 zeus 1/1-6/5-11/8-3/2 1/1-8/7-5/4-5/3 1/1-11/10-16/11-7/4 1/1-4/3-8/5-11/6
9 0-5-7-9 1-5/4-11/8-3/2 otonal 1/1-5/4-11/8-3/2 1/1-11/10-6/5-8/5 1/1-11/10-16/11-11/6 1/1-4/3-5/3-11/6
10 0-2-5-10 1-11/10-5/4-11/7 valinorsmic 1/1-11/10-5/4-11/7 1/1-8/7-10/7-11/6 1/1-5/4-8/5-7/4 1/1-14/11-7/5-8/5
11 0-3-5-10 1-8/7-5/4-11/7 valinorsmic 1/1-8/7-5/4-11/7 1/1-11/10-11/8-7/4 1/1-5/4-8/5-11/6 1/1-14/11-16/11-8/5
12 0-2-7-10 1-11/10-11/8-11/7 utonal 1/1-11/10-11/8-11/7 1/1-5/4-10/7-11/6 1/1-8/7-16/11-8/5 1/1-14/11-7/5-7/4
13 0-3-7-10 1-8/7-11/8-11/7 keenanismic 1/1-8/7-11/8-11/7 1/1-6/5-11/8-7/4 1/1-8/7-16/11-5/3 1/1-14/11-16/11-7/4
14 0-5-7-10 1-5/4-11/8-11/7 valinorsmic 1/1-5/4-11/8-11/7 1/1-11/10-5/4-8/5 1/1-8/7-16/11-11/6 1/1-14/11-8/5-7/4
15 0-3-8-10 1-8/7-10/7-11/7 otonal 1/1-8/7-10/7-11/7 1/1-5/4-11/8-7/4 1/1-11/10-7/5-8/5 1/1-14/11-16/11-11/6
16 0-5-8-10 1-5/4-10/7-11/7 valinorsmic 1/1-5/4-10/7-11/7 1/1-8/7-5/4-8/5 1/1-11/10-7/5-7/4 1/1-14/11-8/5-11/6
17 0-2-4-11 1-11/10-6/5-18/11 biyatismic 1/1-11/10-6/5-18/11 1/1-11/10-3/2-11/6 1/1-11/8-5/3-11/6 1/1-11/9-4/3-16/11
18 0-2-7-11 1-11/10-11/8-18/11 biyatismic 1/1-11/10-11/8-18/11 1/1-5/4-3/2-11/6 1/1-6/5-16/11-8/5 1/1-11/9-4/3-5/3
19 0-3-7-11 1-8/7-11/8-18/11 valentine 1/1-8/7-11/8-18/11 1/1-6/5-10/7-7/4 1/1-6/5-16/11-5/3 1/1-11/9-7/5-5/3
20 0-4-7-11 1-6/5-11/8-18/11 zeus 1/1-6/5-11/8-18/11 1/1-8/7-11/8-5/3 1/1-6/5-16/11-7/4 1/1-11/9-16/11-5/3
21 0-3-8-11 1-8/7-10/7-18/11 werckismic 1/1-8/7-10/7-18/11 1/1-5/4-10/7-7/4 1/1-8/7-7/5-8/5 1/1-11/9-7/5-7/4
22 0-4-8-11 1-6/5-10/7-18/11 valentine 1/1-6/5-10/7-18/11 1/1-6/5-11/8-5/3 1/1-8/7-7/5-5/3 1/1-11/9-16/11-7/4
23 0-2-9-11 1-11/10-3/2-18/11 ambitonal 1/1-11/10-3/2-18/11 1/1-11/8-3/2-11/6 1/1-11/10-4/3-16/11 1/1-11/9-4/3-11/6
24 0-4-9-11 1-6/5-3/2-18/11 biyatismic 1/1-6/5-3/2-18/11 1/1-5/4-11/8-5/3 1/1-11/10-4/3-8/5 1/1-11/9-16/11-11/6
25 0-7-9-11 1-11/8-3/2-18/11 biyatismic 1/1-11/8-3/2-18/11 1/1-11/10-6/5-16/11 1/1-11/10-4/3-11/6 1/1-11/9-5/3-11/6
26 0-2-4-12 1-11/10-6/5-12/7 utonal 1/1-11/10-6/5-12/7 1/1-11/10-11/7-11/6 1/1-10/7-5/3-11/6 1/1-7/6-14/11-7/5
27 0-2-5-12 1-11/10-5/4-12/7 zeus 1/1-11/10-5/4-12/7 1/1-8/7-11/7-11/6 1/1-11/8-8/5-7/4 1/1-7/6-14/11-16/11
28 0-3-5-12 1-8/7-5/4-12/7 zeus 1/1-8/7-5/4-12/7 1/1-11/10-3/2-7/4 1/1-11/8-8/5-11/6 1/1-7/6-4/3-16/11
29 0-2-7-12 1-11/10-11/8-12/7 zeus 1/1-11/10-11/8-12/7 1/1-5/4-11/7-11/6 1/1-5/4-16/11-8/5 1/1-7/6-14/11-8/5
30 0-3-7-12 1-8/7-11/8-12/7 keenanismic 1/1-8/7-11/8-12/7 1/1-6/5-3/2-7/4 1/1-5/4-16/11-5/3 1/1-7/6-4/3-8/5
31 0-4-7-12 1-6/5-11/8-12/7 keenanismic 1/1-6/5-11/8-12/7 1/1-8/7-10/7-5/3 1/1-5/4-16/11-7/4 1/1-7/6-7/5-8/5
32 0-5-7-12 1-5/4-11/8-12/7 keenanismic 1/1-5/4-11/8-12/7 1/1-11/10-11/8-8/5 1/1-5/4-16/11-11/6 1/1-7/6-16/11-8/5
33 0-3-8-12 1-8/7-10/7-12/7 otonal 1/1-8/7-10/7-12/7 1/1-5/4-3/2-7/4 1/1-6/5-7/5-8/5 1/1-7/6-4/3-5/3
34 0-4-8-12 1-6/5-10/7-12/7 starling 1/1-6/5-10/7-12/7 1/1-6/5-10/7-5/3 1/1-6/5-7/5-5/3 1/1-7/6-7/5-5/3
35 0-5-8-12 1-5/4-10/7-12/7 keenanismic 1/1-5/4-10/7-12/7 1/1-8/7-11/8-8/5 1/1-6/5-7/5-7/4 1/1-7/6-16/11-5/3
36 0-2-9-12 1-11/10-3/2-12/7 utonal 1/1-11/10-3/2-12/7 1/1-11/8-11/7-11/6 1/1-8/7-4/3-16/11 1/1-7/6-14/11-7/4
37 0-4-9-12 1-6/5-3/2-12/7 utonal 1/1-6/5-3/2-12/7 1/1-5/4-10/7-5/3 1/1-8/7-4/3-8/5 1/1-7/6-7/5-7/4
38 0-5-9-12 1-5/4-3/2-12/7 keenanismic 1/1-5/4-3/2-12/7 1/1-6/5-11/8-8/5 1/1-8/7-4/3-5/3 1/1-7/6-16/11-7/4
39 0-7-9-12 1-11/8-3/2-12/7 zeus 1/1-11/8-3/2-12/7 1/1-11/10-5/4-16/11 1/1-8/7-4/3-11/6 1/1-7/6-8/5-7/4
40 0-2-10-12 1-11/10-11/7-12/7 biyatismic 1/1-11/10-11/7-12/7 1/1-10/7-11/7-11/6 1/1-11/10-14/11-7/5 1/1-7/6-14/11-11/6
41 0-3-10-12 1-8/7-11/7-12/7 otonal 1/1-8/7-11/7-12/7 1/1-11/8-3/2-7/4 1/1-11/10-14/11-16/11 1/1-7/6-4/3-11/6
42 0-5-10-12 1-5/4-11/7-12/7 zeus 1/1-5/4-11/7-12/7 1/1-5/4-11/8-8/5 1/1-11/10-14/11-8/5 1/1-7/6-16/11-11/6
43 0-7-10-12 1-11/8-11/7-12/7 zeus 1/1-11/8-11/7-12/7 1/1-8/7-5/4-16/11 1/1-11/10-14/11-7/4 1/1-7/6-8/5-11/6
44 0-8-10-12 1-10/7-11/7-12/7 otonal 1/1-10/7-11/7-12/7 1/1-11/10-6/5-7/5 1/1-11/10-14/11-11/6 1/1-7/6-5/3-11/6
45 0-2-4-13 1-11/10-6/5-9/5 otonal 1/1-11/10-6/5-9/5 1/1-11/10-18/11-11/6 1/1-3/2-5/3-11/6 1/1-10/9-11/9-4/3
46 0-2-5-13 1-11/10-5/4-9/5 thrush 1/1-11/10-5/4-9/5 1/1-8/7-18/11-11/6 1/1-10/7-8/5-7/4 1/1-10/9-11/9-7/5
47 0-3-5-13 1-8/7-5/4-9/5 thrush 1/1-8/7-5/4-9/5 1/1-11/10-11/7-7/4 1/1-10/7-8/5-11/6 1/1-10/9-14/11-7/5
48 0-3-8-13 1-8/7-10/7-9/5 thrush 1/1-8/7-10/7-9/5 1/1-5/4-11/7-7/4 1/1-5/4-7/5-8/5 1/1-10/9-14/11-8/5
49 0-4-8-13 1-6/5-10/7-9/5 starling 1/1-6/5-10/7-9/5 1/1-6/5-3/2-5/3 1/1-5/4-7/5-5/3 1/1-10/9-4/3-8/5
50 0-5-8-13 1-5/4-10/7-9/5 starling 1/1-5/4-10/7-9/5 1/1-8/7-10/7-8/5 1/1-5/4-7/5-7/4 1/1-10/9-7/5-8/5
51 0-2-9-13 1-11/10-3/2-9/5 biyatismic 1/1-11/10-3/2-9/5 1/1-11/8-18/11-11/6 1/1-6/5-4/3-16/11 1/1-10/9-11/9-5/3
52 0-4-9-13 1-6/5-3/2-9/5 ambitonal 1/1-6/5-3/2-9/5 1/1-5/4-3/2-5/3 1/1-6/5-4/3-8/5 1/1-10/9-4/3-5/3
53 0-5-9-13 1-5/4-3/2-9/5 starling 1/1-5/4-3/2-9/5 1/1-6/5-10/7-8/5 1/1-6/5-4/3-5/3 1/1-10/9-7/5-5/3
54 0-2-10-13 1-11/10-11/7-9/5 werckismic 1/1-11/10-11/7-9/5 1/1-10/7-18/11-11/6 1/1-8/7-14/11-7/5 1/1-10/9-11/9-7/4
55 0-3-10-13 1-8/7-11/7-9/5 werckismic 1/1-8/7-11/7-9/5 1/1-11/8-11/7-7/4 1/1-8/7-14/11-16/11 1/1-10/9-14/11-7/4
56 0-5-10-13 1-5/4-11/7-9/5 thrush 1/1-5/4-11/7-9/5 1/1-5/4-10/7-8/5 1/1-8/7-14/11-8/5 1/1-10/9-7/5-7/4
57 0-8-10-13 1-10/7-11/7-9/5 thrush 1/1-10/7-11/7-9/5 1/1-11/10-5/4-7/5 1/1-8/7-14/11-11/6 1/1-10/9-8/5-7/4
58 0-2-11-13 1-11/10-18/11-9/5 biyatismic 1/1-11/10-18/11-9/5 1/1-3/2-18/11-11/6 1/1-11/10-11/9-4/3 1/1-10/9-11/9-11/6
59 0-3-11-13 1-8/7-18/11-9/5 werckismic 1/1-8/7-18/11-9/5 1/1-10/7-11/7-7/4 1/1-11/10-11/9-7/5 1/1-10/9-14/11-11/6
60 0-4-11-13 1-6/5-18/11-9/5 biyatismic 1/1-6/5-18/11-9/5 1/1-11/8-3/2-5/3 1/1-11/10-11/9-16/11 1/1-10/9-4/3-11/6
61 0-8-11-13 1-10/7-18/11-9/5 thrush 1/1-10/7-18/11-9/5 1/1-8/7-5/4-7/5 1/1-11/10-11/9-7/4 1/1-10/9-8/5-11/6
62 0-9-11-13 1-3/2-18/11-9/5 utonal 1/1-3/2-18/11-9/5 1/1-11/10-6/5-4/3 1/1-11/10-11/9-11/6 1/1-10/9-5/3-11/6
63 0-5-7-18 1-5/4-11/8-9/8 otonal 1/1-9/8-5/4-11/8 1/1-10/9-11/9-16/9 1/1-11/10-8/5-9/5 1/1-16/11-18/11-11/6
64 0-5-8-18 1-5/4-10/7-9/8 werckismic 1/1-9/8-5/4-10/7 1/1-10/9-14/11-16/9 1/1-8/7-8/5-9/5 1/1-7/5-11/7-7/4
65 0-5-9-18 1-5/4-3/2-9/8 otonal 1/1-9/8-5/4-3/2 1/1-10/9-4/3-16/9 1/1-6/5-8/5-9/5 1/1-4/3-3/2-5/3
66 0-7-9-18 1-11/8-3/2-9/8 otonal 1/1-9/8-11/8-3/2 1/1-11/9-4/3-16/9 1/1-11/10-16/11-18/11 1/1-4/3-3/2-11/6
67 0-5-10-18 1-5/4-11/7-9/8 thrush 1/1-9/8-5/4-11/7 1/1-10/9-7/5-16/9 1/1-5/4-8/5-9/5 1/1-14/11-10/7-8/5
68 0-7-10-18 1-11/8-11/7-9/8 werckismic 1/1-9/8-11/8-11/7 1/1-11/9-7/5-16/9 1/1-8/7-16/11-18/11 1/1-14/11-10/7-7/4
69 0-8-10-18 1-10/7-11/7-9/8 werckismic 1/1-9/8-10/7-11/7 1/1-14/11-7/5-16/9 1/1-11/10-7/5-11/7 1/1-14/11-10/7-11/6
70 0-7-11-18 1-11/8-18/11-9/8 biyatismic 1/1-9/8-11/8-18/11 1/1-11/9-16/11-16/9 1/1-6/5-16/11-18/11 1/1-11/9-11/8-5/3
71 0-8-11-18 1-10/7-18/11-9/8 werckismic 1/1-9/8-10/7-18/11 1/1-14/11-16/11-16/9 1/1-8/7-7/5-11/7 1/1-11/9-11/8-7/4
72 0-9-11-18 1-3/2-18/11-9/8 utonal 1/1-9/8-3/2-18/11 1/1-4/3-16/11-16/9 1/1-11/10-4/3-3/2 1/1-11/9-11/8-11/6
73 0-5-13-18 1-5/4-9/5-9/8 starling 1/1-9/8-5/4-9/5 1/1-10/9-8/5-16/9 1/1-10/7-8/5-9/5 1/1-10/9-5/4-25/18
74 0-8-13-18 1-10/7-9/5-9/8 thrush 1/1-9/8-10/7-9/5 1/1-14/11-8/5-16/9 1/1-5/4-7/5-11/7 1/1-10/9-5/4-8/5
75 0-9-13-18 1-3/2-9/5-9/8 utonal 1/1-9/8-3/2-9/5 1/1-4/3-8/5-16/9 1/1-6/5-4/3-3/2 1/1-10/9-5/4-5/3
76 0-10-13-18 1-11/7-9/5-9/8 werckismic 1/1-9/8-11/7-9/5 1/1-7/5-8/5-16/9 1/1-8/7-14/11-10/7 1/1-10/9-5/4-7/4
77 0-11-13-18 1-18/11-9/5-9/8 utonal 1/1-9/8-18/11-9/5 1/1-16/11-8/5-16/9 1/1-11/10-11/9-11/8 1/1-10/9-5/4-11/6
78 0-3-8-21 1-8/7-10/7-9/7 otonal 1/1-8/7-9/7-10/7 1/1-9/8-5/4-7/4 1/1-10/9-14/9-16/9 1/1-7/5-8/5-9/5
79 0-3-10-21 1-8/7-11/7-9/7 otonal 1/1-8/7-9/7-11/7 1/1-9/8-11/8-7/4 1/1-11/9-14/9-16/9 1/1-14/11-16/11-18/11
80 0-8-10-21 1-10/7-11/7-9/7 otonal 1/1-9/7-10/7-11/7 1/1-10/9-11/9-14/9 1/1-11/10-7/5-9/5 1/1-14/11-18/11-11/6
81 0-3-11-21 1-8/7-18/11-9/7 werckismic 1/1-8/7-9/7-18/11 1/1-9/8-10/7-7/4 1/1-14/11-14/9-16/9 1/1-11/9-7/5-11/7
82 0-8-11-21 1-10/7-18/11-9/7 werckismic 1/1-9/7-10/7-18/11 1/1-10/9-14/11-14/9 1/1-8/7-7/5-9/5 1/1-11/9-11/7-7/4
83 0-9-11-21 1-3/2-18/11-9/7 utonal 1/1-9/7-3/2-18/11 1/1-7/6-14/11-14/9 1/1-11/10-4/3-12/7 1/1-11/9-11/7-11/6
84 0-3-12-21 1-8/7-12/7-9/7 otonal 1/1-8/7-9/7-12/7 1/1-9/8-3/2-7/4 1/1-4/3-14/9-16/9 1/1-7/6-4/3-3/2
85 0-8-12-21 1-10/7-12/7-9/7 otonal 1/1-9/7-10/7-12/7 1/1-10/9-4/3-14/9 1/1-6/5-7/5-9/5 1/1-7/6-3/2-5/3
86 0-9-12-21 1-3/2-12/7-9/7 ambitonal 1/1-9/7-3/2-12/7 1/1-7/6-4/3-14/9 1/1-8/7-4/3-12/7 1/1-7/6-3/2-7/4
87 0-10-12-21 1-11/7-12/7-9/7 otonal 1/1-9/7-11/7-12/7 1/1-11/9-4/3-14/9 1/1-11/10-14/11-18/11 1/1-7/6-3/2-11/6
88 0-3-13-21 1-8/7-9/5-9/7 werckismic 1/1-8/7-9/7-9/5 1/1-9/8-11/7-7/4 1/1-7/5-14/9-16/9 1/1-10/9-14/11-10/7
89 0-8-13-21 1-10/7-9/5-9/7 starling 1/1-9/7-10/7-9/5 1/1-10/9-7/5-14/9 1/1-5/4-7/5-9/5 1/1-10/9-10/7-8/5
90 0-9-13-21 1-3/2-9/5-9/7 utonal 1/1-9/7-3/2-9/5 1/1-7/6-7/5-14/9 1/1-6/5-4/3-12/7 1/1-10/9-10/7-5/3
91 0-10-13-21 1-11/7-9/5-9/7 werckismic 1/1-9/7-11/7-9/5 1/1-11/9-7/5-14/9 1/1-8/7-14/11-18/11 1/1-10/9-10/7-7/4
92 0-11-13-21 1-18/11-9/5-9/7 utonal 1/1-9/7-18/11-9/5 1/1-14/11-7/5-14/9 1/1-11/10-11/9-11/7 1/1-10/9-10/7-11/6
93 0-8-18-21 1-10/7-9/8-9/7 werckismic 1/1-9/8-9/7-10/7 1/1-8/7-14/11-16/9 1/1-10/9-14/9-7/4 1/1-7/5-11/7-9/5
94 0-9-18-21 1-3/2-9/8-9/7 utonal 1/1-9/8-9/7-3/2 1/1-8/7-4/3-16/9 1/1-7/6-14/9-7/4 1/1-4/3-3/2-12/7
95 0-10-18-21 1-11/7-9/8-9/7 werckismic 1/1-9/8-9/7-11/7 1/1-8/7-7/5-16/9 1/1-11/9-14/9-7/4 1/1-14/11-10/7-18/11
96 0-11-18-21 1-18/11-9/8-9/7 utonal 1/1-9/8-9/7-18/11 1/1-8/7-16/11-16/9 1/1-14/11-14/9-7/4 1/1-11/9-11/8-11/7
97 0-13-18-21 1-9/5-9/8-9/7 utonal 1/1-9/8-9/7-9/5 1/1-8/7-8/5-16/9 1/1-7/5-14/9-7/4 1/1-10/9-5/4-10/7

Pentads

# Chord Transversal Type As generated 1st inversion 2nd inversion 3rd inversion 4th inversion
1 0-2-4-7-9 1-11/10-6/5-11/8-3/2 zeus 1/1-11/10-6/5-11/8-3/2 1/1-11/10-5/4-11/8-11/6 1/1-8/7-5/4-5/3-11/6 1/1-11/10-16/11-8/5-7/4 1/1-4/3-16/11-8/5-11/6
2 0-2-5-7-9 1-11/10-5/4-11/8-3/2 zeus 1/1-11/10-5/4-11/8-3/2 1/1-8/7-5/4-11/8-11/6 1/1-11/10-6/5-8/5-7/4 1/1-11/10-16/11-8/5-11/6 1/1-4/3-16/11-5/3-11/6
3 0-2-5-7-10 1-11/10-5/4-11/8-11/7 valinorsmic 1/1-11/10-5/4-11/8-11/7 1/1-8/7-5/4-10/7-11/6 1/1-11/10-5/4-8/5-7/4 1/1-8/7-16/11-8/5-11/6 1/1-14/11-7/5-8/5-7/4
4 0-3-5-7-10 1-8/7-5/4-11/8-11/7 zeus 1/1-8/7-5/4-11/8-11/7 1/1-11/10-6/5-11/8-7/4 1/1-11/10-5/4-8/5-11/6 1/1-8/7-16/11-5/3-11/6 1/1-14/11-16/11-8/5-7/4
5 0-3-5-8-10 1-8/7-5/4-10/7-11/7 valinorsmic 1/1-8/7-5/4-10/7-11/7 1/1-11/10-5/4-11/8-7/4 1/1-8/7-5/4-8/5-11/6 1/1-11/10-7/5-8/5-7/4 1/1-14/11-16/11-8/5-11/6
6 0-2-4-7-11 1-11/10-6/5-11/8-18/11 zeus 1/1-11/10-6/5-11/8-18/11 1/1-11/10-5/4-3/2-11/6 1/1-8/7-11/8-5/3-11/6 1/1-6/5-16/11-8/5-7/4 1/1-11/9-4/3-16/11-5/3
7 0-2-4-9-11 1-11/10-6/5-3/2-18/11 biyatismic 1/1-11/10-6/5-3/2-18/11 1/1-11/10-11/8-3/2-11/6 1/1-5/4-11/8-5/3-11/6 1/1-11/10-4/3-16/11-8/5 1/1-11/9-4/3-16/11-11/6
8 0-2-7-9-11 1-11/10-11/8-3/2-18/11 biyatismic 1/1-11/10-11/8-3/2-18/11 1/1-5/4-11/8-3/2-11/6 1/1-11/10-6/5-16/11-8/5 1/1-11/10-4/3-16/11-11/6 1/1-11/9-4/3-5/3-11/6
9 0-4-7-9-11 1-6/5-11/8-3/2-18/11 zeus 1/1-6/5-11/8-3/2-18/11 1/1-8/7-5/4-11/8-5/3 1/1-11/10-6/5-16/11-7/4 1/1-11/10-4/3-8/5-11/6 1/1-11/9-16/11-5/3-11/6
10 0-2-4-7-12 1-11/10-6/5-11/8-12/7 zeus 1/1-11/10-6/5-11/8-12/7 1/1-11/10-5/4-11/7-11/6 1/1-8/7-10/7-5/3-11/6 1/1-5/4-16/11-8/5-7/4 1/1-7/6-14/11-7/5-8/5
11 0-2-5-7-12 1-11/10-5/4-11/8-12/7 zeus 1/1-11/10-5/4-11/8-12/7 1/1-8/7-5/4-11/7-11/6 1/1-11/10-11/8-8/5-7/4 1/1-5/4-16/11-8/5-11/6 1/1-7/6-14/11-16/11-8/5
12 0-3-5-7-12 1-8/7-5/4-11/8-12/7 zeus 1/1-8/7-5/4-11/8-12/7 1/1-11/10-6/5-3/2-7/4 1/1-11/10-11/8-8/5-11/6 1/1-5/4-16/11-5/3-11/6 1/1-7/6-4/3-16/11-8/5
13 0-3-5-8-12 1-8/7-5/4-10/7-12/7 zeus 1/1-8/7-5/4-10/7-12/7 1/1-11/10-5/4-3/2-7/4 1/1-8/7-11/8-8/5-11/6 1/1-6/5-7/5-8/5-7/4 1/1-7/6-4/3-16/11-5/3
14 0-2-4-9-12 1-11/10-6/5-3/2-12/7 utonal 1/1-11/10-6/5-3/2-12/7 1/1-11/10-11/8-11/7-11/6 1/1-5/4-10/7-5/3-11/6 1/1-8/7-4/3-16/11-8/5 1/1-7/6-14/11-7/5-7/4
15 0-2-5-9-12 1-11/10-5/4-3/2-12/7 zeus 1/1-11/10-5/4-3/2-12/7 1/1-8/7-11/8-11/7-11/6 1/1-6/5-11/8-8/5-7/4 1/1-8/7-4/3-16/11-5/3 1/1-7/6-14/11-16/11-7/4
16 0-2-7-9-12 1-11/10-11/8-3/2-12/7 zeus 1/1-11/10-11/8-3/2-12/7 1/1-5/4-11/8-11/7-11/6 1/1-11/10-5/4-16/11-8/5 1/1-8/7-4/3-16/11-11/6 1/1-7/6-14/11-8/5-7/4
17 0-4-7-9-12 1-6/5-11/8-3/2-12/7 zeus 1/1-6/5-11/8-3/2-12/7 1/1-8/7-5/4-10/7-5/3 1/1-11/10-5/4-16/11-7/4 1/1-8/7-4/3-8/5-11/6 1/1-7/6-7/5-8/5-7/4
18 0-5-7-9-12 1-5/4-11/8-3/2-12/7 zeus 1/1-5/4-11/8-3/2-12/7 1/1-11/10-6/5-11/8-8/5 1/1-11/10-5/4-16/11-11/6 1/1-8/7-4/3-5/3-11/6 1/1-7/6-16/11-8/5-7/4
19 0-2-5-10-12 1-11/10-5/4-11/7-12/7 zeus 1/1-11/10-5/4-11/7-12/7 1/1-8/7-10/7-11/7-11/6 1/1-5/4-11/8-8/5-7/4 1/1-11/10-14/11-7/5-8/5 1/1-7/6-14/11-16/11-11/6
20 0-3-5-10-12 1-8/7-5/4-11/7-12/7 zeus 1/1-8/7-5/4-11/7-12/7 1/1-11/10-11/8-3/2-7/4 1/1-5/4-11/8-8/5-11/6 1/1-11/10-14/11-16/11-8/5 1/1-7/6-4/3-16/11-11/6
21 0-2-7-10-12 1-11/10-11/8-11/7-12/7 zeus 1/1-11/10-11/8-11/7-12/7 1/1-5/4-10/7-11/7-11/6 1/1-8/7-5/4-16/11-8/5 1/1-11/10-14/11-7/5-7/4 1/1-7/6-14/11-8/5-11/6
22 0-3-7-10-12 1-8/7-11/8-11/7-12/7 zeus 1/1-8/7-11/8-11/7-12/7 1/1-6/5-11/8-3/2-7/4 1/1-8/7-5/4-16/11-5/3 1/1-11/10-14/11-16/11-7/4 1/1-7/6-4/3-8/5-11/6
23 0-5-7-10-12 1-5/4-11/8-11/7-12/7 zeus 1/1-5/4-11/8-11/7-12/7 1/1-11/10-5/4-11/8-8/5 1/1-8/7-5/4-16/11-11/6 1/1-11/10-14/11-8/5-7/4 1/1-7/6-16/11-8/5-11/6
24 0-3-8-10-12 1-8/7-10/7-11/7-12/7 otonal 1/1-8/7-10/7-11/7-12/7 1/1-5/4-11/8-3/2-7/4 1/1-11/10-6/5-7/5-8/5 1/1-11/10-14/11-16/11-11/6 1/1-7/6-4/3-5/3-11/6
25 0-5-8-10-12 1-5/4-10/7-11/7-12/7 zeus 1/1-5/4-10/7-11/7-12/7 1/1-8/7-5/4-11/8-8/5 1/1-11/10-6/5-7/5-7/4 1/1-11/10-14/11-8/5-11/6 1/1-7/6-16/11-5/3-11/6
26 0-3-5-8-13 1-8/7-5/4-10/7-9/5 thrush 1/1-8/7-5/4-10/7-9/5 1/1-11/10-5/4-11/7-7/4 1/1-8/7-10/7-8/5-11/6 1/1-5/4-7/5-8/5-7/4 1/1-10/9-14/11-7/5-8/5
27 0-2-4-9-13 1-11/10-6/5-3/2-9/5 biyatismic 1/1-11/10-6/5-3/2-9/5 1/1-11/10-11/8-18/11-11/6 1/1-5/4-3/2-5/3-11/6 1/1-6/5-4/3-16/11-8/5 1/1-10/9-11/9-4/3-5/3
28 0-2-5-9-13 1-11/10-5/4-3/2-9/5 valentine 1/1-11/10-5/4-3/2-9/5 1/1-8/7-11/8-18/11-11/6 1/1-6/5-10/7-8/5-7/4 1/1-6/5-4/3-16/11-5/3 1/1-10/9-11/9-7/5-5/3
29 0-2-5-10-13 1-11/10-5/4-11/7-9/5 thrush 1/1-11/10-5/4-11/7-9/5 1/1-8/7-10/7-18/11-11/6 1/1-5/4-10/7-8/5-7/4 1/1-8/7-14/11-7/5-8/5 1/1-10/9-11/9-7/5-7/4
30 0-3-5-10-13 1-8/7-5/4-11/7-9/5 thrush 1/1-8/7-5/4-11/7-9/5 1/1-11/10-11/8-11/7-7/4 1/1-5/4-10/7-8/5-11/6 1/1-8/7-14/11-16/11-8/5 1/1-10/9-14/11-7/5-7/4
31 0-3-8-10-13 1-8/7-10/7-11/7-9/5 thrush 1/1-8/7-10/7-11/7-9/5 1/1-5/4-11/8-11/7-7/4 1/1-11/10-5/4-7/5-8/5 1/1-8/7-14/11-16/11-11/6 1/1-10/9-14/11-8/5-7/4
32 0-5-8-10-13 1-5/4-10/7-11/7-9/5 thrush 1/1-5/4-10/7-11/7-9/5 1/1-8/7-5/4-10/7-8/5 1/1-11/10-5/4-7/5-7/4 1/1-8/7-14/11-8/5-11/6 1/1-10/9-7/5-8/5-7/4
33 0-2-4-11-13 1-11/10-6/5-18/11-9/5 biyatismic 1/1-11/10-6/5-18/11-9/5 1/1-11/10-3/2-18/11-11/6 1/1-11/8-3/2-5/3-11/6 1/1-11/10-11/9-4/3-16/11 1/1-10/9-11/9-4/3-11/6
34 0-3-8-11-13 1-8/7-10/7-18/11-9/5 thrush 1/1-8/7-10/7-18/11-9/5 1/1-5/4-10/7-11/7-7/4 1/1-8/7-5/4-7/5-8/5 1/1-11/10-11/9-7/5-7/4 1/1-10/9-14/11-8/5-11/6
35 0-4-8-11-13 1-6/5-10/7-18/11-9/5 valentine 1/1-6/5-10/7-18/11-9/5 1/1-6/5-11/8-3/2-5/3 1/1-8/7-5/4-7/5-5/3 1/1-11/10-11/9-16/11-7/4 1/1-10/9-4/3-8/5-11/6
36 0-2-9-11-13 1-11/10-3/2-18/11-9/5 biyatismic 1/1-11/10-3/2-18/11-9/5 1/1-11/8-3/2-18/11-11/6 1/1-11/10-6/5-4/3-16/11 1/1-11/10-11/9-4/3-11/6 1/1-10/9-11/9-5/3-11/6
37 0-4-9-11-13 1-6/5-3/2-18/11-9/5 biyatismic 1/1-6/5-3/2-18/11-9/5 1/1-5/4-11/8-3/2-5/3 1/1-11/10-6/5-4/3-8/5 1/1-11/10-11/9-16/11-11/6 1/1-10/9-4/3-5/3-11/6
38 0-5-7-9-18 1-5/4-11/8-3/2-9/8 otonal 1/1-9/8-5/4-11/8-3/2 1/1-10/9-11/9-4/3-16/9 1/1-11/10-6/5-8/5-9/5 1/1-11/10-16/11-18/11-11/6 1/1-4/3-3/2-5/3-11/6
39 0-5-7-10-18 1-5/4-11/8-11/7-9/8 thrush 1/1-9/8-5/4-11/8-11/7 1/1-10/9-11/9-7/5-16/9 1/1-11/10-5/4-8/5-9/5 1/1-8/7-16/11-18/11-11/6 1/1-14/11-10/7-8/5-7/4
40 0-5-8-10-18 1-5/4-10/7-11/7-9/8 thrush 1/1-9/8-5/4-10/7-11/7 1/1-10/9-14/11-7/5-16/9 1/1-8/7-5/4-8/5-9/5 1/1-11/10-7/5-11/7-7/4 1/1-14/11-10/7-8/5-11/6
41 0-7-9-11-18 1-11/8-3/2-18/11-9/8 biyatismic 1/1-9/8-11/8-3/2-18/11 1/1-11/9-4/3-16/11-16/9 1/1-11/10-6/5-16/11-18/11 1/1-11/10-4/3-3/2-11/6 1/1-11/9-11/8-5/3-11/6
42 0-5-8-13-18 1-5/4-10/7-9/5-9/8 thrush 1/1-9/8-5/4-10/7-9/5 1/1-10/9-14/11-8/5-16/9 1/1-8/7-10/7-8/5-9/5 1/1-5/4-7/5-11/7-7/4 1/1-10/9-5/4-7/5-8/5
43 0-5-9-13-18 1-5/4-3/2-9/5-9/8 starling 1/1-9/8-5/4-3/2-9/5 1/1-10/9-4/3-8/5-16/9 1/1-6/5-10/7-8/5-9/5 1/1-6/5-4/3-3/2-5/3 1/1-10/9-5/4-7/5-5/3
44 0-5-10-13-18 1-5/4-11/7-9/5-9/8 thrush 1/1-9/8-5/4-11/7-9/5 1/1-10/9-7/5-8/5-16/9 1/1-5/4-10/7-8/5-9/5 1/1-8/7-14/11-10/7-8/5 1/1-10/9-5/4-7/5-7/4
45 0-8-10-13-18 1-10/7-11/7-9/5-9/8 thrush 1/1-9/8-10/7-11/7-9/5 1/1-14/11-7/5-8/5-16/9 1/1-11/10-5/4-7/5-11/7 1/1-8/7-14/11-10/7-11/6 1/1-10/9-5/4-8/5-7/4
46 0-8-11-13-18 1-10/7-18/11-9/5-9/8 thrush 1/1-9/8-10/7-18/11-9/5 1/1-14/11-16/11-8/5-16/9 1/1-8/7-5/4-7/5-11/7 1/1-11/10-11/9-11/8-7/4 1/1-10/9-5/4-8/5-11/6
47 0-9-11-13-18 1-3/2-18/11-9/5-9/8 utonal 1/1-9/8-3/2-18/11-9/5 1/1-4/3-16/11-8/5-16/9 1/1-11/10-6/5-4/3-3/2 1/1-11/10-11/9-11/8-11/6 1/1-10/9-5/4-5/3-11/6
48 0-3-8-10-21 1-8/7-10/7-11/7-9/7 otonal 1/1-8/7-9/7-10/7-11/7 1/1-9/8-5/4-11/8-7/4 1/1-10/9-11/9-14/9-16/9 1/1-11/10-7/5-8/5-9/5 1/1-14/11-16/11-18/11-11/6
49 0-3-8-11-21 1-8/7-10/7-18/11-9/7 werckismic 1/1-8/7-9/7-10/7-18/11 1/1-9/8-5/4-10/7-7/4 1/1-10/9-14/11-14/9-16/9 1/1-8/7-7/5-8/5-9/5 1/1-11/9-7/5-11/7-7/4
50 0-3-8-12-21 1-8/7-10/7-12/7-9/7 otonal 1/1-8/7-9/7-10/7-12/7 1/1-9/8-5/4-3/2-7/4 1/1-10/9-4/3-14/9-16/9 1/1-6/5-7/5-8/5-9/5 1/1-7/6-4/3-3/2-5/3
51 0-3-10-12-21 1-8/7-11/7-12/7-9/7 otonal 1/1-8/7-9/7-11/7-12/7 1/1-9/8-11/8-3/2-7/4 1/1-11/9-4/3-14/9-16/9 1/1-11/10-14/11-16/11-18/11 1/1-7/6-4/3-3/2-11/6
52 0-8-10-12-21 1-10/7-11/7-12/7-9/7 otonal 1/1-9/7-10/7-11/7-12/7 1/1-10/9-11/9-4/3-14/9 1/1-11/10-6/5-7/5-9/5 1/1-11/10-14/11-18/11-11/6 1/1-7/6-3/2-5/3-11/6
53 0-3-8-13-21 1-8/7-10/7-9/5-9/7 thrush 1/1-8/7-9/7-10/7-9/5 1/1-9/8-5/4-11/7-7/4 1/1-10/9-7/5-14/9-16/9 1/1-5/4-7/5-8/5-9/5 1/1-10/9-14/11-10/7-8/5
54 0-3-10-13-21 1-8/7-11/7-9/5-9/7 werckismic 1/1-8/7-9/7-11/7-9/5 1/1-9/8-11/8-11/7-7/4 1/1-11/9-7/5-14/9-16/9 1/1-8/7-14/11-16/11-18/11 1/1-10/9-14/11-10/7-7/4
55 0-8-10-13-21 1-10/7-11/7-9/5-9/7 thrush 1/1-9/7-10/7-11/7-9/5 1/1-10/9-11/9-7/5-14/9 1/1-11/10-5/4-7/5-9/5 1/1-8/7-14/11-18/11-11/6 1/1-10/9-10/7-8/5-7/4
56 0-3-11-13-21 1-8/7-18/11-9/5-9/7 werckismic 1/1-8/7-9/7-18/11-9/5 1/1-9/8-10/7-11/7-7/4 1/1-14/11-7/5-14/9-16/9 1/1-11/10-11/9-7/5-11/7 1/1-10/9-14/11-10/7-11/6
57 0-8-11-13-21 1-10/7-18/11-9/5-9/7 thrush 1/1-9/7-10/7-18/11-9/5 1/1-10/9-14/11-7/5-14/9 1/1-8/7-5/4-7/5-9/5 1/1-11/10-11/9-11/7-7/4 1/1-10/9-10/7-8/5-11/6
58 0-9-11-13-21 1-3/2-18/11-9/5-9/7 utonal 1/1-9/7-3/2-18/11-9/5 1/1-7/6-14/11-7/5-14/9 1/1-11/10-6/5-4/3-12/7 1/1-11/10-11/9-11/7-11/6 1/1-10/9-10/7-5/3-11/6
59 0-8-10-18-21 1-10/7-11/7-9/8-9/7 werckismic 1/1-9/8-9/7-10/7-11/7 1/1-8/7-14/11-7/5-16/9 1/1-10/9-11/9-14/9-7/4 1/1-11/10-7/5-11/7-9/5 1/1-14/11-10/7-18/11-11/6
60 0-8-11-18-21 1-10/7-18/11-9/8-9/7 werckismic 1/1-9/8-9/7-10/7-18/11 1/1-8/7-14/11-16/11-16/9 1/1-10/9-14/11-14/9-7/4 1/1-8/7-7/5-11/7-9/5 1/1-11/9-11/8-11/7-7/4
61 0-9-11-18-21 1-3/2-18/11-9/8-9/7 utonal 1/1-9/8-9/7-3/2-18/11 1/1-8/7-4/3-16/11-16/9 1/1-7/6-14/11-14/9-7/4 1/1-11/10-4/3-3/2-12/7 1/1-11/9-11/8-11/7-11/6
62 0-8-13-18-21 1-10/7-9/5-9/8-9/7 thrush 1/1-9/8-9/7-10/7-9/5 1/1-8/7-14/11-8/5-16/9 1/1-10/9-7/5-14/9-7/4 1/1-5/4-7/5-11/7-9/5 1/1-10/9-5/4-10/7-8/5
63 0-9-13-18-21 1-3/2-9/5-9/8-9/7 utonal 1/1-9/8-9/7-3/2-9/5 1/1-8/7-4/3-8/5-16/9 1/1-7/6-7/5-14/9-7/4 1/1-6/5-4/3-3/2-12/7 1/1-10/9-5/4-10/7-5/3
64 0-10-13-18-21 1-11/7-9/5-9/8-9/7 werckismic 1/1-9/8-9/7-11/7-9/5 1/1-8/7-7/5-8/5-16/9 1/1-11/9-7/5-14/9-7/4 1/1-8/7-14/11-10/7-18/11 1/1-10/9-5/4-10/7-7/4
65 0-11-13-18-21 1-18/11-9/5-9/8-9/7 utonal 1/1-9/8-9/7-18/11-9/5 1/1-8/7-16/11-8/5-16/9 1/1-14/11-7/5-14/9-7/4 1/1-11/10-11/9-11/8-11/7 1/1-10/9-5/4-10/7-11/6

Hexads

# Chord Transversal Type As generated 1st inversion 2nd inversion 3rd inversion 4th inversion 5th inversion
1 0-2-4-7-9-11 1-11/10-6/5-11/8-3/2-18/11 zeus 1/1-11/10-6/5-11/8-3/2-18/11 1/1-11/10-5/4-11/8-3/2-11/9 1/1-8/7-5/4-11/8-5/3-11/6 1/1-11/10-6/5-16/11-8/5-7/4 1/1-11/10-4/3-16/11-8/5-11/6 1/1-11/9-4/3-16/11-5/3-11/6
2 0-2-4-7-9-12 1-11/10-6/5-11/8-3/2-12/7 zeus 1/1-11/10-6/5-11/8-3/2-12/7 1/1-11/10-5/4-11/8-11/7-7/6 1/1-8/7-5/4-10/7-5/3-11/6 1/1-11/10-5/4-16/11-8/5-7/4 1/1-8/7-4/3-16/11-8/5-11/6 1/1-7/6-14/11-7/5-8/5-7/4
3 0-2-5-7-9-12 1-11/10-5/4-11/8-3/2-12/7 zeus 1/1-11/10-5/4-11/8-3/2-12/7 1/1-8/7-5/4-11/8-11/7-7/6 1/1-11/10-6/5-11/8-8/5-7/4 1/1-11/10-5/4-16/11-8/5-11/6 1/1-8/7-4/3-16/11-5/3-11/6 1/1-7/6-14/11-16/11-8/5-7/4
4 0-2-5-7-10-12 1-11/10-5/4-11/8-11/7-12/7 zeus 1/1-11/10-5/4-11/8-11/7-12/7 1/1-8/7-5/4-10/7-11/7-7/6 1/1-11/10-5/4-11/8-8/5-7/4 1/1-8/7-5/4-16/11-8/5-11/6 1/1-11/10-14/11-7/5-8/5-7/4 1/1-7/6-14/11-16/11-8/5-11/6
5 0-3-5-7-10-12 1-8/7-5/4-11/8-11/7-12/7 zeus 1/1-8/7-5/4-11/8-11/7-12/7 1/1-11/10-6/5-11/8-3/2-7/6 1/1-11/10-5/4-11/8-8/5-11/6 1/1-8/7-5/4-16/11-5/3-11/6 1/1-11/10-14/11-16/11-8/5-7/4 1/1-7/6-4/3-16/11-8/5-11/6
6 0-3-5-8-10-12 1-8/7-5/4-10/7-11/7-12/7 zeus 1/1-8/7-5/4-10/7-11/7-12/7 1/1-11/10-5/4-11/8-3/2-7/6 1/1-8/7-5/4-11/8-8/5-11/6 1/1-11/10-6/5-7/5-8/5-7/4 1/1-11/10-14/11-16/11-8/5-11/6 1/1-7/6-4/3-16/11-5/3-11/6
7 0-3-5-8-10-13 1-8/7-5/4-10/7-11/7-9/5 thrush 1/1-8/7-5/4-10/7-11/7-9/5 1/1-11/10-5/4-11/8-11/7-10/9 1/1-8/7-5/4-10/7-8/5-11/6 1/1-11/10-5/4-7/5-8/5-7/4 1/1-8/7-14/11-16/11-8/5-11/6 1/1-10/9-14/11-7/5-8/5-7/4
8 0-2-4-9-11-13 1-11/10-6/5-3/2-18/11-9/5 biyatismic 1/1-11/10-6/5-3/2-18/11-9/5 1/1-11/10-11/8-3/2-18/11-10/9 1/1-5/4-11/8-3/2-5/3-11/6 1/1-11/10-6/5-4/3-16/11-8/5 1/1-11/10-11/9-4/3-16/11-11/6 1/1-10/9-11/9-4/3-5/3-11/6
9 0-5-8-10-13-18 1-5/4-10/7-11/7-9/5-9/8 thrush 1/1-9/8-5/4-10/7-11/7-9/5 1/1-10/9-14/11-7/5-8/5-10/9 1/1-8/7-5/4-10/7-8/5-9/5 1/1-11/10-5/4-7/5-11/7-7/4 1/1-8/7-14/11-10/7-8/5-11/6 1/1-10/9-5/4-7/5-8/5-7/4
10 0-3-8-10-12-21 1-8/7-10/7-11/7-12/7-9/7 otonal 1/1-8/7-9/7-10/7-11/7-12/7 1/1-9/8-5/4-11/8-3/2-7/6 1/1-10/9-11/9-4/3-14/9-16/9 1/1-11/10-6/5-7/5-8/5-9/5 1/1-11/10-14/11-16/11-18/11-11/6 1/1-7/6-4/3-3/2-5/3-11/6
11 0-3-8-10-13-21 1-8/7-10/7-11/7-9/5-9/7 thrush 1/1-8/7-9/7-10/7-11/7-9/5 1/1-9/8-5/4-11/8-11/7-10/9 1/1-10/9-11/9-7/5-14/9-16/9 1/1-11/10-5/4-7/5-8/5-9/5 1/1-8/7-14/11-16/11-18/11-11/6 1/1-10/9-14/11-10/7-8/5-7/4
12 0-3-8-11-13-21 1-8/7-10/7-18/11-9/5-9/7 thrush 1/1-8/7-9/7-10/7-18/11-9/5 1/1-9/8-5/4-10/7-11/7-10/9 1/1-10/9-14/11-7/5-14/9-16/9 1/1-8/7-5/4-7/5-8/5-9/5 1/1-11/10-11/9-7/5-11/7-7/4 1/1-10/9-14/11-10/7-8/5-11/6
13 0-8-10-13-18-21 1-10/7-11/7-9/5-9/8-9/7 thrush 1/1-9/8-9/7-10/7-11/7-9/5 1/1-8/7-14/11-7/5-8/5-10/9 1/1-10/9-11/9-7/5-14/9-7/4 1/1-11/10-5/4-7/5-11/7-9/5 1/1-8/7-14/11-10/7-18/11-11/6 1/1-10/9-5/4-10/7-8/5-7/4
14 0-8-11-13-18-21 1-10/7-18/11-9/5-9/8-9/7 thrush 1/1-9/8-9/7-10/7-18/11-9/5 1/1-8/7-14/11-16/11-8/5-10/9 1/1-10/9-14/11-7/5-14/9-7/4 1/1-8/7-5/4-7/5-11/7-9/5 1/1-11/10-11/9-11/8-11/7-7/4 1/1-10/9-5/4-10/7-8/5-11/6
15 0-9-11-13-18-21 1-3/2-18/11-9/5-9/8-9/7 utonal 1/1-9/8-9/7-3/2-18/11-9/5 1/1-8/7-4/3-16/11-8/5-10/9 1/1-7/6-14/11-7/5-14/9-7/4 1/1-11/10-6/5-4/3-3/2-12/7 1/1-11/10-11/9-11/8-11/7-11/6 1/1-10/9-5/4-10/7-5/3-11/6
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