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Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Orwell|orwell temperament]]. Typing the chords requires consideration of the fact that orwell equates certain 11 odd limit consonances--it conflates 14/11 and 9/7, 11/7 and 14/9, 12/11 and 11/10, and 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 9/7 and 11/10 and their inversions. Those requiring tempering only by 225/224 are labeled marvel, by 99/98 mothwellsmic, by 121/120 biyatismic, by 176/175 valinorsmic, by 385/384 keenanismic, and by 540/539 swetismic. If it requires any two of 99/98, 176/175 and 225/224, it is labeled minerva, any two of 99/98, 121/120 or 540/539, big brother, any two of 121/120, 176/175 or 385/384, zeus, any two of 225/224, 385/384 or 540/539, unimarvel. If it requires both 99/98 and 385/384 it is labeled orwellian, and if it requires three independent commas among those discussed above, it is labeled orwell. Orwell has MOS of size 5, 9, 13, 22 and 31. The complaint is often made that orwell is lacking in low-complexity harmonies; however, even the orwell pentatonic has three triads and a tetrad, the nine note MOS is of course much better supplied and with thirteen notes we are rolling in chords and tossing them in the air, finding plenty of chords including even the inexorable major triad.
{{Breadcrumb|Orwell}}
Below is a complete list of all [[11-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[orwell|orwell temperament]]. Note that there are many common chords, for example [[8:10:12:15]], which are not listed; in this case due to [[15/8]] not being in the 11-odd-limit. Every chord listed has multiple [[chord #Inversion|inversions]]; only one is listed, that being the inversion where all notes are a nonnegative number of subminor third [[generator]]s above the root.


For diagrams showing how some of these chords might map to a [[Microtonal_Keyboards|keyboard]] such as the Axis-49, see [[Orwell_on_an_Isomorphic_Keyboard|Orwell on an Isomorphic Keyboard]].
Typing the chords requires consideration of the fact that orwell equates certain [[11-odd-limit]] consonances – it conflates [[14/11]] with [[9/7]], [[11/7]] with [[14/9]], [[12/11]] with [[11/10]], and [[11/6]] with [[20/11]]. If a [[transversal]] can be found which shows the chord to be [[dyadic chord #Essentially tempered dyadic chord|essentially just]], that transversal is listed along with a typing as [[otonal]], [[utonal]], or [[ambitonal]]. Sometimes multiple such transversals exist, in which case the chord is a [[plurichord]], and the type is given for all possible interpretations. If the chord is [[dyadic chord #Essentially tempered dyadic chord|essentially tempered]], it is analyzed in terms of the transversal that requires the minimum amount of commas to be tempered out; if there is a tie between multiple transversals, it is analyzed in terms of the transversal which employs 9/7 and 11/10 over the root.  


=Triads=
Those requiring tempering only by [[225/224]] are labeled [[marvel chords|marvel]], by [[99/98]] [[mothwellsmic chords|mothwellsmic]], by [[121/120]] [[biyatismic chords|biyatismic]], by [[176/175]] [[valinorsmic chords|valinorsmic]], by [[385/384]] [[keenanismic chords|keenanismic]], and by [[540/539]] [[swetismic chords|swetismic]]. If it requires any two of 99/98, 176/175 and 225/224, it is labeled [[minerva chords|minerva]], any two of 99/98, 121/120 or 540/539, [[big brother chords|big brother]], any two of 121/120, 176/175 or 385/384, [[zeus chords|zeus]], any two of 225/224, 385/384 or 540/539, [[undecimal marvel chords|marvel11]]. If it requires both 99/98 and 385/384 it is labeled [[orwellian chords|orwellian]], and if it requires three independent commas among those discussed above, it is labeled [[orwell chords|orwell]].


{| class="wikitable"
Orwell has [[mos]] of size 5, 9, 13, 22 and 31. The complaint is often made that orwell is lacking in low-complexity harmonies; however, even the orwell pentatonic scale has three triads and a tetrad. The 9-note mos is of course much better supplied, and with 13 notes we are rolling in chords and tossing them in the air, finding plenty of chords including even the inexorable [[4:5:6|major triad]].
 
For diagrams showing how some of these chords might map to a [[keyboard]] such as the Axis-49, see [[Orwell on an isomorphic keyboard]].
 
== Triads ==
{| class="wikitable center-1"
|-
|-
! Number
! #
! Chord
! Generators
! Transversal
! Transversal
! Type
! Type
! As generated
! Comment
! First inversion
! Second inversion
! Odd-limit
|-
|-
| 1
| 1
| 0-1-2
| 0–1–2
| 1/1-7/6-11/8
| 1–7/6–11/8
| mothwellsmic
| Mothwellsmic
| 1/1-7/6-11/8
|  
| 1/1-7/6-12/7
| 1/1-16/11-12/7
| 11
|-
|-
| 2
| 2
| 0-1-3
| 0–1–3
| 1/1-7/6-8/5
| 1–7/6–8/5
| keenanismic
| Keenanismic
| 1/1-7/6-8/5
|  
| 1/1-11/8-12/7
| 1/1-5/4-16/11
| 11
|-
|-
| 3
| 3
| 0-2-3
| 0–2–3
| 1/1-11/8-8/5
| 1–11/8–8/5
| keenanismic
| Keenanismic
| 1/1-11/8-8/5
|  
| 1/1-7/6-16/11
| 1/1-5/4-12/7
| 11
|-
|-
| 4
| 4
| 0-2-5
| 0–2–5
| 1/1-11/8-11/10
| 1–11/10–11/8
| utonal
| Utonal
| 1/1-11/10-11/8
|  
| 1/1-5/4-20/11
| 1/1-16/11-8/5
| 11
|-
|-
| 5
| 5
| 0-3-5
| 0–3–5
| 1/1-8/5-11/10
| 1–11/10–8/5
| otonal
| Otonal
| 1/1-11/10-8/5
|  
| 1/1-16/11-20/11
| 1/1-5/4-11/8
| 11
|-
|-
| 6
| 6
| 0-1-6
| 0–1–6
| 1/1-7/6-14/11
| 1–7/6–14/11
| utonal
| Utonal
| 1/1-7/6-14/11
|  
| 1/1-12/11-12/7
| 1/1-11/7-11/6
| 11
|-
|-
| 7
| 7
| 0-3-6
| 0–3–6
| 1/1-8/5-9/7
| 1–9/7–8/5
| marvel
| Marvel
| 1/1-9/7-8/5
|  
| 1/1-5/4-14/9
| 1/1-5/4-8/5
| 9
|-
|-
| 8
| 8
| 0-5-6
| 0–5–6
| 1/1-12/11-14/11
| 1–12/11–14/11
| otonal
| Otonal
| 1/1-12/11-14/11
|  
| 1/1-7/6-11/6
| 1/1-11/7-12/7
| 11
|-
|-
| 9
| 9
| 0-1-7
| 0–1–7
| 1/1-7/6-3/2
| 1–7/6–3/2
| otonal
| Otonal
| 1/1-7/6-3/2
| [[6:7:9]]
| 1/1-9/7-12/7
| 1/1-4/3-14/9
| 9
|-
|-
| 10
| 10
| 0-2-7
| 0–2–7
| 1/1-11/8-3/2
| 1–11/8–3/2
| otonal
| Otonal
| 1/1-11/8-3/2
|  
| 1/1-12/11-16/11
| 1/1-4/3-11/6
| 11
|-
|-
| 11
| 11
| 0-5-7
| 0–5–7
| 1/1-12/11-3/2
| 1–12/11–3/2
| utonal
| Utonal
| 1/1-12/11-3/2
|  
| 1/1-11/8-11/6
| 1/1-4/3-16/11
| 11
|-
|-
| 12
| 12
| 0-6-7
| 0–6–7
| 1/1-9/7-3/2
| 1–9/7–3/2
| utonal
| Utonal
| 1/1-9/7-3/2
| [[14:18:21|1/(9:7:6)]]
| 1/1-7/6-14/9
| 1/1-4/3-12/7
| 9
|-
|-
| 13
| 13
| 0-1-8
| 0–1–8
| 1/1-7/6-7/4
| 1–7/6–7/4
| utonal
| Utonal
| 1/1-7/6-7/4
| [[14:21:24|1/(12:8:7)]]
| 1/1-3/2-12/7
| 1/1-8/7-4/3
| 7
|-
|-
| 14
| 14
| 0-2-8
| 0–2–8
| 1/1-11/8-7/4
| 1–11/8–7/4
| otonal
| Otonal
| 1/1-11/8-7/4
|  
| 1/1-14/11-16/11
| 1/1-8/7-11/7
| 11
|-
|-
| 15
| 15
| 0-3-8
| 0–3–8
| 1/1-8/5-7/4
| 1–8/5–7/4
| valinorsmic
| Valinorsmic
| 1/1-8/5-7/4
|  
| 1/1-11/10-5/4
| 1/1-8/7-20/11
| 11
|-
|-
| 16
| 16
| 0-5-8
| 0–5–8
| 1/1-11/10-7/4
| 1–11/10–7/4
| valinorsmic
| Valinorsmic
| 1/1-11/10-7/4
|  
| 1/1-8/5-20/11
| 1/1-8/7-5/4
| 11
|-
|-
| 17
| 17
| 0-6-8
| 0–6–8
| 1/1-14/11-7/4
| 1–14/11–7/4
| utonal
| Utonal
| 1/1-14/11-7/4
|  
| 1/1-11/8-11/7
| 1/1-8/7-16/11
| 11
|-
|-
| 18
| 18
| 0-7-8
| 0–7–8
| 1/1-3/2-7/4
| 1–3/2–7/4
| otonal
| Otonal
| 1/1-3/2-7/4
| [[4:6:7]]
| 1/1-7/6-4/3
| 1/1-8/7-12/7
| 7
|-
|-
| 19
| 19
| 0-2-10
| 0–2–10
| 1/1-11/8-6/5
| 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
| 11
|-
|-
| 20
| 20
| 0-3-10
| 0–3–10
| 1/1-8/5-6/5
| 1–6/5–8/5
| otonal
| Otonal
| 1/1-6/5-8/5
| [[4:5:6]]
| 1/1-4/3-5/3
| 1/1-5/4-3/2
| 5
|-
|-
| 21
| 21
| 0-5-10
| 0–5–10
| 1/1-11/10-6/5
| 1–11/10–6/5
| otonal
| Otonal
| 1/1-11/10-6/5
|  
| 1/1-12/11-20/11
| 1/1-5/3-11/6
| 11
|-
|-
| 22
| 22
| 0-7-10
| 0–7–10
| 1/1-3/2-6/5
| 1–6/5–3/2
| utonal
| Utonal
| 1/1-6/5-3/2
| [[10:12:15|1/(6:5:4)]]
| 1/1-5/4-5/3
| 1/1-4/3-8/5
| 5
|-
|-
| 23
| 23
| 0-8-10
| 0–8–10
| 1/1-7/4-6/5
| 1–6/5–7/4
| keenanismic
| Keenanismic
| 1/1-6/5-7/4
|  
| 1/1-16/11-5/3
| 1/1-8/7-11/8
| 11
|-
|-
| 24
| 24
| 0-1-11
| 0–1–11
| 1/1-7/6-7/5
| 1–7/6–7/5
| utonal
| Utonal
| 1/1-7/6-7/5
| [[30:35:42|1/(7:6:5)]]
| 1/1-6/5-12/7
| 1/1-10/7-5/3
| 7
|-
|-
| 25
| 25
| 0-3-11
| 0–3–11
| 1/1-8/5-7/5
| 1–7/5–8/5
| otonal
| Otonal
| 1/1-7/5-8/5
| [[4:5:7]]
| 1/1-8/7-10/7
| 1/1-5/4-7/4
| 7
|-
|-
| 26
| 26
| 0-5-11
| 0–5–11
| 1/1-11/10-7/5
| 1–11/10–7/5
| otonal
| Otonal
| 1/1-11/10-7/5
|  
| 1/1-14/11-20/11
| 1/1-10/7-11/7
| 11
|-
|-
| 27
| 27
| 0-6-11
| 0–6–11
| 1/1-14/11-7/5
| 1–14/11–7/5
| utonal
| Utonal
| 1/1-14/11-7/5
|  
| 1/1-11/10-11/7
| 1/1-10/7-20/11
| 11
|-
|-
| 28
| 28
| 0-8-11
| 0–8–11
| 1/1-7/4-7/5
| 1–7/5–7/4
| utonal
| Utonal
| 1/1-7/5-7/4
| [[28:35:40|1/(10:8:7)]]
| 1/1-5/4-10/7
| 1/1-8/7-8/5
| 7
|-
|-
| 29
| 29
| 0-10-11
| 0–10–11
| 1/1-6/5-7/5
| 1–6/5–7/5
| otonal
| Otonal
| 1/1-6/5-7/5
| [[5:6:7]]
| 1/1-7/6-5/3
| 1/1-10/7-12/7
| 7
|-
|-
| 30
| 30
| 0-1-12
| 0–1–12
| 1/1-7/6-18/11
| 1–7/6–18/11
| swetismic
| Swetismic
| 1/1-7/6-18/11
|  
| 1/1-7/5-12/7
| 1/1-11/9-10/7
| 11
|-
|-
| 31
| 31
| 0-2-12
| 0–2–12
| 1/1-11/8-18/11
| 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
| 11
|-
|-
| 32
| 32
| 0-5-12
| 0–5–12
| 1/1-12/11-18/11
| 1–12/11–18/11
| otonal
| Otonal
| 1/1-12/11-18/11
|  
| 1/1-3/2-11/6
| 1/1-11/9-4/3
| 11
|-
|-
| 33
| 33
| 0-6-12
| 0–6–12
| 1/1-9/7-18/11
| 1–9/7–18/11
| utonal
| Utonal
| 1/1-9/7-18/11
|  
| 1/1-14/11-14/9
| 1/1-11/9-11/7
| 11
|-
|-
| 34
| 34
| 0-7-12
| 0–7–12
| 1/1-3/2-18/11
| 1–3/2–18/11
| utonal
| Utonal
| 1/1-3/2-18/11
|  
| 1/1-12/11-4/3
| 1/1-11/9-11/6
| 11
|-
|-
| 35
| 35
| 0-10-12
| 0–10–12
| 1/1-6/5-18/11
| 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
| 11
|-
|-
| 36
| 36
| 0-11-12
| 0–11–12
| 1/1-7/5-18/11
| 1–7/5–18/11
| swetismic
| Swetismic
| 1/1-7/5-18/11
|  
| 1/1-7/6-10/7
| 1/1-11/9-12/7
| 11
|-
|-
| 37
| 37
| 0-2-14
| 0–2–14
| 1/1-11/8-9/8
| 1–9/8–11/8
| otonal
| Otonal
| 1/1-9/8-11/8
|  
| 1/1-11/9-16/9
| 1/1-16/11-18/11
| 11
|-
|-
| 38
| 38
| 0-3-14
| 0–3–14
| 1/1-8/5-9/8
| 1–9/8–8/5
| marvel
| Marvel
| 1/1-9/8-8/5
|  
| 1/1-10/7-16/9
| 1/1-5/4-7/5
| 9
|-
|-
| 39
| 39
| 0-6-14
| 0–6–14
| 1/1-9/7-9/8
| 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
| 9
|-
|-
| 40
| 40
| 0-7-14
| 0–7–14
| 1/1-3/2-9/8
| 1–9/8–3/2
| ambitonal
| Ambitonal
| 1/1-9/8-3/2
| [[6:8:9]], [[8:9:12]]
| 1/1-4/3-16/9
| 1/1-4/3-3/2
| 9
|-
|-
| 41
| 41
| 0-8-14
| 0–8–14
| 1/1-7/4-9/8
| 1–9/8–7/4
| otonal
| Otonal
| 1/1-9/8-7/4
|  
| 1/1-14/9-16/9
| 1/1-8/7-9/7
| 9
|-
|-
| 42
| 42
| 0-11-14
| 0–11–14
| 1/1-7/5-9/8
| 1–9/8–7/5
| marvel
| Marvel
| 1/1-9/8-7/5
|  
| 1/1-5/4-16/9
| 1/1-10/7-8/5
| 9
|-
|-
| 43
| 43
| 0-12-14
| 0–12–14
| 1/1-18/11-9/8
| 1–9/8–18/11
| utonal
| Utonal
| 1/1-9/8-18/11
|
| 1/1-16/11-16/9
| 1/1-11/9-11/8
| 11
|-
|-
| 44
| 44
| 0-3-17
| 0–3–17
| 1/1-8/5-9/5
| 1–8/5–9/5
| otonal
| Otonal
| 1/1-8/5-9/5
|  
| 1/1-9/8-5/4
| 1/1-10/9-16/9
| 9
|-
|-
| 45
| 45
| 0-5-17
| 0–5–17
| 1/1-11/10-9/5
| 1–11/10–9/5
| otonal
| Otonal
| 1/1-11/10-9/5
|  
| 1/1-18/11-20/11
| 1/1-10/9-11/9
| 11
|-
|-
| 46
| 46
| 0-6-17
| 0–6–17
| 1/1-9/7-9/5
| 1–9/7–9/5
| utonal
| Utonal
| 1/1-9/7-9/5
|  
| 1/1-7/5-14/9
| 1/1-10/9-10/7
| 9
|-
|-
| 47
| 47
| 0-7-17
| 0–7–17
| 1/1-3/2-9/5
| 1–3/2–9/5
| utonal
| Utonal
| 1/1-3/2-9/5
| [[10:15:18|1/(9:6:5)]]
| 1/1-6/5-4/3
| 1/1-10/9-5/3
| 9
|-
|-
| 48
| 48
| 0-10-17
| 0–10–17
| 1/1-6/5-9/5
| 1–6/5–9/5
| otonal
| Otonal
| 1/1-6/5-9/5
| [[6:9:10]]
| 1/1-3/2-5/3
| 1/1-10/9-4/3
| 9
|-
|-
| 49
| 49
| 0-11-17
| 0–11–17
| 1/1-7/5-9/5
| 1–7/5–9/5
| otonal
| Otonal
| 1/1-7/5-9/5
|  
| 1/1-9/7-10/7
| 1/1-10/9-14/9
| 9
|-
|-
| 50
| 50
| 0-12-17
| 0–12–17
| 1/1-18/11-9/5
| 1–18/11–9/5
| utonal
| Utonal
| 1/1-18/11-9/5
|  
| 1/1-11/10-11/9
| 1/1-10/9-20/11
| 11
|-
|-
| 51
| 51
| 0-14-17
| 0–14–17
| 1/1-9/8-9/5
| 1–9/8–9/5
| utonal
| Utonal
| 1/1-9/8-9/5
|  
| 1/1-8/5-16/9
| 1/1-10/9-5/4
| 9
|}
|}


=Tetrads=
== Tetrads ==
 
{| class="wikitable center-1"
{| class="wikitable"
|-
|-
| | Number
! #
| | Chord
! Generators
| | Transversal
! Transversal
| | Type
! Type
| |
! Comment
! Example in 22edo
|-
|-
| | 1
| 1
| | 0-1-2-3
| 0–1–2–3
| | 1-7/6-11/8-8/5
| 1–7/6–11/8–8/5
| | orwellian
| Orwellian
| | [[File:OrwellTetrad22edo.mp3]]
|  
| [[File:OrwellTetrad22edo.mp3]]
|-
|-
| | 2
| 2
| | 0-2-3-5
| 0–2–3–5
| | 1-11/8-8/5-11/10
| 1–11/10–11/8–8/5
| | keenanismic
| Keenanismic
| | [[File:Orwell_0_2_3_5_22edo.mp3]]
|  
| [[File:Orwell_0_2_3_5_22edo.mp3]]
|-
|-
| | 3
| 3
| | 0-1-3-6
| 0–1–3–6
| | 1-7/6-8/5-9/7
| 1–7/6–9/7–8/5
| | unimarvel
| Marvel11
| | [[File:Orwell_0_1_3_6_22edo.mp3]]
|  
| [[File:Orwell_0_1_3_6_22edo.mp3]]
|-
|-
| | 4
| 4
| | 0-3-5-6
| 0–3–5–6
| | 1-8/5-11/10-9/7
| 1–11/10–9/7–8/5
| | unimarvel
| Marvel11
| | [[File:Orwell_0_3_5_6_22edo.mp3]]
|  
| [[File:Orwell_0_3_5_6_22edo.mp3]]
|-
|-
| | 5
| 5
| | 0-1-2-7
| 0–1–2–7
| | 1-7/6-11/8-3/2
| 1–7/6–11/8–3/2
| | big brother
| Big brother
| | [[File:Orwell_0_1_2_7_22edo.mp3]]
|  
| [[File:Orwell_0_1_2_7_22edo.mp3]]
|-
|-
| | 6
| 6
| | 0-2-5-7
| 0–2–5–7
| | 1-11/8-11/10-3/2
| 1–11/10–11/8–3/2
| | biyatismic
| Biyatismic
| | [[File:Orwell_0_2_5_7_22edo.mp3]]
|  
| [[File:Orwell_0_2_5_7_22edo.mp3]]
|-
|-
| | 7
| 7
| | 0-1-6-7
| 0–1–6–7
| | 1-7/6-9/7-3/2
| 1–7/6–9/7–3/2
| | swetismic
| Swetismic
| | [[File:Orwell_0_1_6_7_22edo.mp3]]
|  
| [[File:Orwell_0_1_6_7_22edo.mp3]]
|-
|-
| | 8
| 8
| | 0-5-6-7
| 0–5–6–7
| | 1-11/10-9/7-3/2
| 1–11/10–9/7–3/2
| | big brother
| Big brother
| | [[File:Orwell_0_5_6_7_22edo.mp3]]
|  
| [[File:Orwell_0_5_6_7_22edo.mp3]]
|-
|-
| | 9
| 9
| | 0-1-2-8
| 0–1–2–8
| | 1-7/6-11/8-7/4
| 1–7/6–11/8–7/4
| | mothwellsmic
| Mothwellsmic
| | [[File:Orwell_0_1_2_8_22edo.mp3]]
|  
| [[File:Orwell_0_1_2_8_22edo.mp3]]
|-
|-
| | 10
| 10
| | 0-1-3-8
| 0–1–3–8
| | 1-7/6-8/5-7/4
| 1–7/6–8/5–7/4
| | zeus
| Zeus
| | [[File:Orwell_0_1_3_8_22edo.mp3]]
|  
| [[File:Orwell_0_1_3_8_22edo.mp3]]
|-
|-
| | 11
| 11
| | 0-2-3-8
| 0–2–3–8
| | 1-11/8-8/5-7/4
| 1–11/8–8/5–7/4
| | orwell
| Orwell
| | [[File:Orwell_0_2_3_8_22edo.mp3]]
|  
| [[File:Orwell_0_2_3_8_22edo.mp3]]
|-
|-
| | 12
| 12
| | 0-2-5-8
| 0–2–5–8
| | 1-11/8-11/10-7/4
| 1–11/10–11/8–7/4
| | minerva
| Minerva
| | [[File:Orwell_0_2_5_8_22edo.mp3]]
|  
| [[File:Orwell_0_2_5_8_22edo.mp3]]
|-
|-
| | 13
| 13
| | 0-3-5-8
| 0–3–5–8
| | 1-8/5-11/10-7/4
| 1–11/10–8/5–7/4
| | valinorsmic
| Valinorsmic
| | [[File:Orwell_0_3_5_8_22edo.mp3]]
|  
| [[File:Orwell_0_3_5_8_22edo.mp3]]
|-
|-
| | 14
| 14
| | 0-1-6-8
| 0–1–6–8
| | 1-7/6-14/11-7/4
| 1–7/6–14/11–7/4
| | utonal
| Utonal
| | [[File:Orwell_0_1_6_8_22edo.mp3]]
|  
| [[File:Orwell_0_1_6_8_22edo.mp3]]
|-
|-
| | 15
| 15
| | 0-3-6-8
| 0–3–6–8
| | 1-8/5-9/7-7/4
| 1–9/7–8/5–7/4
| | minerva
| Minerva
| |  
|  
|  
|-
|-
| | 16
| 16
| | 0-5-6-8
| 0–5–6–8
| | 1-11/10-9/7-7/4
| 1–11/10–9/7–7/4
| | orwell
| Orwell
| |  
|  
|  
|-
|-
| | 17
| 17
| | 0-1-7-8
| 0–1–7–8
| | 1-7/6-3/2-7/4
| 1–7/6–3/2–7/4
| | ambitonal
| Ambitonal
| |  
| [[12:14:18:21]], [[14:18:21:24]]<br>[[9-odd-limit]] [[ASS]]
|  
|-
|-
| | 18
| 18
| | 0-2-7-8
| 0–2–7–8
| | 1-11/8-3/2-7/4
| 1–11/8–3/2–7/4
| | otonal
| Otonal
| |  
|  
|  
|-
|-
| | 19
| 19
| | 0-5-7-8
| 0–5–7–8
| | 1-11/10-3/2-7/4
| 1–11/10–3/2–7/4
| | zeus
| Zeus
| |  
|  
|  
|-
|-
| | 20
| 20
| | 0-6-7-8
| 0–6–7–8
| | 1-9/7-3/2-7/4
| 1–9/7–3/2–7/4
| | mothwellsmic
| Mothwellsmic
| |  
|  
|  
|-
|-
| | 21
| 21
| | 0-2-3-10
| 0–2–3–10
| | 1-11/8-8/5-6/5
| 1–6/5–11/8–8/5
| | keenanismic
| Keenanismic
| |  
|  
|  
|-
|-
| | 22
| 22
| | 0-2-5-10
| 0–2–5–10
| | 1-11/8-11/10-6/5
| 1–11/10–6/5–11/8
| | zeus
| Zeus
| |  
|  
|  
|-
|-
| | 23
| 23
| | 0-3-5-10
| 0–3–5–10
| | 1-8/5-11/10-6/5
| 1–11/10–6/5–8/5
| | otonal
| Otonal
| |  
|  
|  
|-
|-
| | 24
| 24
| | 0-2-7-10
| 0–2–7–10
| | 1-11/8-3/2-6/5
| 1–6/5–11/8–3/2
| | zeus
| Zeus
| |  
|  
|  
|-
|-
| | 25
| 25
| | 0-5-7-10
| 0–5–7–10
| | 1-12/11-3/2-6/5
| 1–12/11–6/5–3/2
| | utonal
| Utonal
| |  
|  
|  
|-
|-
| | 26
| 26
| | 0-2-8-10
| 0–2–8–10
| | 1-11/8-7/4-6/5
| 1–6/5–11/8–7/4
| | orwellian
| Orwellian
| |  
|  
|  
|-
|-
| | 27
| 27
| | 0-3-8-10
| 0–3–8–10
| | 1-8/5-7/4-6/5
| 1–6/5–8/5–7/4
| | zeus
| Zeus
| |  
|  
|  
|-
|-
| | 28
| 28
| | 0-5-8-10
| 0–5–8–10
| | 1-11/10-7/4-6/5
| 1–11/10–6/5–7/4
| | zeus
| Zeus
| |  
|  
|  
|-
|-
| | 29
| 29
| | 0-7-8-10
| 0–7–8–10
| | 1-3/2-7/4-6/5
| 1–6/5–3/2–7/4
| | keenanismic
| Keenanismic
| |  
|  
|  
|-
|-
| | 30
| 30
| | 0-1-3-11
| 0–1–3–11
| | 1-7/6-8/5-7/5
| 1–7/6–7/5–8/5
| | keenanismic
| Keenanismic
| |  
|  
|  
|-
|-
| | 31
| 31
| | 0-3-5-11
| 0–3–5–11
| | 1-8/5-11/10-7/5
| 1–11/10–7/5–8/5
| | otonal
| Otonal
| |  
|  
|  
|-
|-
| | 32
| 32
| | 0-1-6-11
| 0–1–6–11
| | 1-7/6-14/11-7/5
| 1–7/6–14/11–7/5
| | utonal
| Utonal
| |  
|  
|  
|-
|-
| | 33
| 33
| | 0-3-6-11
| 0–3–6–11
| | 1-8/5-9/7-7/5
| 1–9/7–7/5–8/5
| | minerva
| Minerva
| |  
|  
|  
|-
|-
| | 34
| 34
| | 0-5-6-11
| 0–5–6–11
| | 1-11/10-9/7-7/5
| 1–11/10–9/7–7/5
| | big brother
| Big brother
| |  
|  
|  
|-
|-
| | 35
| 35
| | 0-1-8-11
| 0–1–8–11
| | 1-7/6-7/4-7/5
| 1–7/6–7/5–7/4
| | utonal
| Utonal
| |  
| [[70:84:105:120|1/(12:10:8:7)]]
|  
|-
|-
| | 36
| 36
| | 0-3-8-11
| 0–3–8–11
| | 1-8/5-7/4-7/5
| 1–7/5–8/5–7/4
| | valinorsmic
| Valinorsmic
| |  
|  
|  
|-
|-
| | 37
| 37
| | 0-5-8-11
| 0–5–8–11
| | 1-11/10-7/4-7/5
| 1–11/10–7/5–7/4
| | minerva
| Minerva
| |  
|  
|  
|-
|-
| | 38
| 38
| | 0-6-8-11
| 0–6–8–11
| | 1-14/11-7/4-7/5
| 1–14/11–7/5–7/4
| | utonal
| Utonal
| |  
|  
|  
|-
|-
| | 39
| 39
| | 0-3-10-11
| 0–3–10–11
| | 1-8/5-6/5-7/5
| 1–6/5–7/5–8/5
| | otonal
| Otonal
| |  
| [[4:5:6:7]]
|  
|-
|-
| | 40
| 40
| | 0-5-10-11
| 0–5–10–11
| | 1-11/10-6/5-7/5
| 1–11/10–6/5–7/5
| | otonal
| Otonal
| |  
|  
|  
|-
|-
| | 41
| 41
| | 0-8-10-11
| 0–8–10–11
| | 1-7/4-6/5-7/5
| 1–6/5–7/5–7/4
| | keenanismic
| Keenanismic
| |  
|  
|  
|-
|-
| | 42
| 42
| | 0-1-2-12
| 0–1–2–12
| | 1-7/6-11/8-18/11
| 1–7/6–11/8–18/11
| | big brother
| Big brother
| |  
|  
|  
|-
|-
| | 43
| 43
| | 0-2-5-12
| 0–2–5–12
| | 1-11/8-11/10-18/11
| 1–11/10–11/8–18/11
| | biyatismic
| Biyatismic
| |  
|  
|  
|-
|-
| | 44
| 44
| | 0-1-6-12
| 0–1–6–12
| | 1-7/6-9/7-18/11
| 1–7/6–9/7–18/11
| | big brother
| Big brother
| |  
|  
|  
|-
|-
| | 45
| 45
| | 0-5-6-12
| 0–5–6–12
| | 1-12/11-14/11-18/11
| 1–12/11–14/11–18/11
| | otonal
| Otonal
| |  
|  
|  
|-
|-
| | 46
| 46
| | 0-1-7-12
| 0–1–7–12
| | 1-7/6-3/2-18/11
| 1–7/6–3/2–18/11
| | big brother
| Big brother
| |  
|  
|  
|-
|-
| | 47
| 47
| | 0-2-7-12
| 0–2–7–12
| | 1-11/8-3/2-18/11
| 1–11/8–3/2–18/11
| | biyatismic
| Biyatismic
| |  
|  
|  
|-
|-
| | 48
| 48
| | 0-5-7-12
| 0–5–7–12
| | 1-12/11-3/2-18/11
| 1–12/11–3/2–18/11
| | ambitonal
| Ambitonal
| |  
| 11-odd-limit ASS
|  
|-
|-
| | 49
| 49
| | 0-6-7-12
| 0–6–7–12
| | 1-9/7-3/2-18/11
| 1–9/7–3/2–18/11
| | utonal
| Utonal
| |  
|  
|  
|-
|-
| | 50
| 50
| | 0-2-10-12
| 0–2–10–12
| | 1-11/8-6/5-18/11
| 1–6/5–11/8–18/11
| | zeus
| Zeus
| |  
|  
|  
|-
|-
| | 51
| 51
| | 0-5-10-12
| 0–5–10–12
| | 1-11/10-6/5-18/11
| 1–11/10–6/5–18/11
| | biyatismic
| Biyatismic
| |  
|  
|  
|-
|-
| | 52
| 52
| | 0-7-10-12
| 0–7–10–12
| | 1-3/2-6/5-18/11
| 1–6/5–3/2–18/11
| | biyatismic
| Biyatismic
| |  
|  
|  
|-
|-
| | 53
| 53
| | 0-1-11-12
| 0–1–11–12
| | 1-7/6-7/5-18/11
| 1–7/6–7/5–18/11
| | swetismic
| Swetismic
| |  
|  
|  
|-
|-
| | 54
| 54
| | 0-5-11-12
| 0–5–11–12
| | 1-11/10-7/5-18/11
| 1–11/10–7/5–18/11
| | big brother
| Big brother
| |  
|  
|  
|-
|-
| | 55
| 55
| | 0-6-11-12
| 0–6–11–12
| | 1-9/7-7/5-18/11
| 1–9/7–7/5–18/11
| | big brother
| Big brother
| |  
|  
|  
|-
|-
| | 56
| 56
| | 0-10-11-12
| 0–10–11–12
| | 1-6/5-7/5-18/11
| 1–6/5–7/5–18/11
| | big brother
| Big brother
| |  
|  
|  
|-
|-
| | 57
| 57
| | 0-2-3-14
| 0–2–3–14
| | 1-11/8-8/5-9/8
| 1–9/8–11/8–8/5
| | unimarvel
| Marvel11
| |  
|  
|  
|-
|-
| | 58
| 58
| | 0-3-6-14
| 0–3–6–14
| | 1-8/5-9/7-9/8
| 1–9/8–9/7–8/5
| | marvel
| Marvel
| |  
|  
|  
|-
|-
| | 59
| 59
| | 0-2-7-14
| 0–2–7–14
| | 1-11/8-3/2-9/8
| 1–9/8–11/8–3/2
| | otonal
| Otonal
| |  
|  
|  
|-
|-
| | 60
| 60
| | 0-6-7-14
| 0–6–7–14
| | 1-9/7-3/2-9/8
| 1–9/8–9/7–3/2
| | utonal
| Utonal
| |  
| [[28:36:42:63|1/(9:7:6:4)]]
|  
|-
|-
| | 61
| 61
| | 0-2-8-14
| 0–2–8–14
| | 1-11/8-7/4-9/8
| 1–9/8–11/8–7/4
| | otonal
| Otonal
| |  
|  
|  
|-
|-
| | 62
| 62
| | 0-3-8-14
| 0–3–8–14
| | 1-8/5-7/4-9/8
| 1–9/8–8/5–7/4
| | minerva
| Minerva
| |  
|  
|  
|-
|-
| | 63
| 63
| | 0-6-8-14
| 0–6–8–14
| | 1-9/7-7/4-9/8
| 1–9/8–9/7–7/4
| | mothwellsmic
| Mothwellsmic
| |  
|  
|  
|-
|-
| | 64
| 64
| | 0-7-8-14
| 0–7–8–14
| | 1-3/2-7/4-9/8
| 1–9/8–3/2–7/4
| | otonal
| Otonal
| |  
| [[4:6:7:9]]
|  
|-
|-
| | 65
| 65
| | 0-3-11-14
| 0–3–11–14
| | 1-8/5-7/5-9/8
| 1–9/8–7/5–8/5
| | marvel
| Marvel
| |  
|  
|  
|-
|-
| | 66
| 66
| | 0-6-11-14
| 0–6–11–14
| | 1-9/7-7/5-9/8
| 1–9/8–9/7–7/5
| | minerva
| Minerva
| |  
|  
|  
|-
|-
| | 67
| 67
| | 0-8-11-14
| 0–8–11–14
| | 1-7/4-7/5-9/8
| 1–9/8–7/5–7/4
| | marvel
| Marvel
| |  
|  
|  
|-
|-
| | 68
| 68
| | 0-2-12-14
| 0–2–12–14
| | 1-11/8-18/11-9/8
| 1–9/8–11/8–18/11
| | biyatismic
| Biyatismic
| |  
|  
|  
|-
|-
| | 69
| 69
| | 0-6-12-14
| 0–6–12–14
| | 1-9/7-18/11-9/8
| 1–9/8–9/7–18/11
| | utonal
| Utonal
| |  
|  
|  
|-
|-
| | 70
| 70
| | 0-7-12-14
| 0–7–12–14
| | 1-3/2-18/11-9/8
| 1–9/8–3/2–18/11
| | utonal
| Utonal
| |  
|  
|  
|-
|-
| | 71
| 71
| | 0-11-12-14
| 0–11–12–14
| | 1-7/5-18/11-9/8
| 1–9/8–7/5–18/11
| | unimarvel
| Marvel11
| |  
|  
|  
|-
|-
| | 72
| 72
| | 0-3-5-17
| 0–3–5–17
| | 1-8/5-11/10-9/5
| 1–11/10–8/5–9/5
| | otonal
| Otonal
| |  
|  
|  
|-
|-
| | 73
| 73
| | 0-3-6-17
| 0–3–6–17
| | 1-8/5-9/7-9/5
| 1–9/7–8/5–9/5
| | marvel
| Marvel
| |  
|  
|  
|-
|-
| | 74
| 74
| | 0-5-6-17
| 0–5–6–17
| | 1-11/10-9/7-9/5
| 1–11/10–9/7–9/5
| | swetismic
| Swetismic
| |  
|  
|  
|-
|-
| | 75
| 75
| | 0-5-7-17
| 0–5–7–17
| | 1-11/10-3/2-9/5
| 1–11/10–3/2–9/5
| | biyatismic
| Biyatismic
| |  
|  
|  
|-
|-
| | 76
| 76
| | 0-6-7-17
| 0–6–7–17
| | 1-9/7-3/2-9/5
| 1–9/7–3/2–9/5
| | utonal
| Utonal
| |  
| [[70:90:105:126|1/(9:7:6:5)]]
|  
|-
|-
| | 77
| 77
| | 0-3-10-17
| 0–3–10–17
| | 1-8/5-6/5-9/5
| 1–6/5–8/5–9/5
| | otonal
| Otonal
| |  
| [[4:5:6:9]]
|  
|-
|-
| | 78
| 78
| | 0-5-10-17
| 0–5–10–17
| | 1-11/10-6/5-9/5
| 1–11/10–6/5–9/5
| | otonal
| Otonal
| |  
|  
|  
|-
|-
| | 79
| 79
| | 0-7-10-17
| 0–7–10–17
| | 1-3/2-6/5-9/5
| 1–6/5–3/2–9/5
| | ambitonal
| Ambitonal
| |  
| [[10:12:15:18]], [[12:15:18:20]]<br>9-odd-limit ASS
|  
|-
|-
| | 80
| 80
| | 0-3-11-17
| 0–3–11–17
| | 1-8/5-7/5-9/5
| 1–7/5–8/5–9/5
| | otonal
| Otonal
| |  
| [[4:5:7:9]]
|  
|-
|-
| | 81
| 81
| | 0-5-11-17
| 0–5–11–17
| | 1-11/10-7/5-9/5
| 1–11/10–7/5–9/5
| | otonal
| Otonal
| |  
|  
|  
|-
|-
| | 82
| 82
| | 0-6-11-17
| 0–6–11–17
| | 1-9/7-7/5-9/5
| 1–9/7–7/5–9/5
| | mothwellsmic
| Mothwellsmic
| |  
|  
|  
|-
|-
| | 83
| 83
| | 0-10-11-17
| 0–10–11–17
| | 1-6/5-7/5-9/5
| 1–6/5–7/5–9/5
| | otonal
| Otonal
| |  
| [[5:6:7:9]]
|  
|-
|-
| | 84
| 84
| | 0-5-12-17
| 0–5–12–17
| | 1-11/10-18/11-9/5
| 1–11/10–18/11–9/5
| | biyatismic
| Biyatismic
| |  
|  
|  
|-
|-
| | 85
| 85
| | 0-6-12-17
| 0–6–12–17
| | 1-9/7-18/11-9/5
| 1–9/7–18/11–9/5
| | utonal
| Utonal
| |  
|  
|  
|-
|-
| | 86
| 86
| | 0-7-12-17
| 0–7–12–17
| | 1-3/2-18/11-9/5
| 1–3/2–18/11–9/5
| | utonal
| Utonal
| |  
|  
|  
|-
|-
| | 87
| 87
| | 0-10-12-17
| 0–10–12–17
| | 1-6/5-18/11-9/5
| 1–6/5–18/11–9/5
| | biyatismic
| Biyatismic
| |  
|  
|  
|-
|-
| | 88
| 88
| | 0-11-12-17
| 0–11–12–17
| | 1-7/5-18/11-9/5
| 1–7/5–18/11–9/5
| | swetismic
| Swetismic
| |  
|  
|  
|-
|-
| | 89
| 89
| | 0-3-14-17
| 0–3–14–17
| | 1-8/5-9/8-9/5
| 1–9/8–8/5–9/5
| | marvel
| Marvel
| |  
|  
|  
|-
|-
| | 90
| 90
| | 0-6-14-17
| 0–6–14–17
| | 1-9/7-9/8-9/5
| 1–9/8–9/7–9/5
| | utonal
| Utonal
| |  
| [[140:180:252:315|1/(9:7:5:4)]]
|  
|-
|-
| | 91
| 91
| | 0-7-14-17
| 0–7–14–17
| | 1-3/2-9/8-9/5
| 1–9/8–3/2–9/5
| | utonal
| Utonal
| |  
| [[20:30:36:45|1/(9:6:5:4)]]
|  
|-
|-
| | 92
| 92
| | 0-11-14-17
| 0–11–14–17
| | 1-7/5-9/8-9/5
| 1–9/8–7/5–9/5
| | marvel
| Marvel
| |  
|  
|  
|-
|-
| | 93
| 93
| | 0-12-14-17
| 0–12–14–17
| | 1-18/11-9/8-9/5
| 1–9/8–18/11–9/5
| | utonal
| Utonal
| |  
|  
|  
|}
|}


=Pentads=
== Pentads ==
 
{| class="wikitable center-1"
{| class="wikitable"
|-
|-
| | Number
! #
| | Chord
! Generators
| | Transversal
! Transversal
| | Type
! Type
! Comment
|-
|-
| | 1
| 1
| | 0-1-2-3-8
| 0–1–2–3–8
| | 1-7/6-11/8-8/5-7/4
| 1–7/6–11/8–8/5–7/4
| | orwell
| Orwell
|  
|-
|-
| | 2
| 2
| | 0-2-3-5-8
| 0–2–3–5–8
| | 1-11/8-8/5-11/10-7/4
| 1–11/10–11/8–8/5–7/4
| | orwell
| Orwell
|  
|-
|-
| | 3
| 3
| | 0-1-3-6-8
| 0–1–3–6–8
| | 1-7/6-8/5-9/7-7/4
| 1–7/6–9/7–8/5–7/4
| | orwell
| Orwell
|  
|-
|-
| | 4
| 4
| | 0-3-5-6-8
| 0–3–5–6–8
| | 1-8/5-11/10-9/7-7/4
| 1–11/10–9/7–8/5–7/4
| | orwell
| Orwell
|  
|-
|-
| | 5
| 5
| | 0-1-2-7-8
| 0–1–2–7–8
| | 1-7/6-11/8-3/2-7/4
| 1–7/6–11/8–3/2–7/4
| | big brother
| Big brother
|  
|-
|-
| | 6
| 6
| | 0-2-5-7-8
| 0–2–5–7–8
| | 1-11/8-11/10-3/2-7/4
| 1–11/10–11/8–3/2–7/4
| | orwell
| Orwell
|  
|-
|-
| | 7
| 7
| | 0-1-6-7-8
| 0–1–6–7–8
| | 1-7/6-9/7-3/2-7/4
| 1–7/6–9/7–3/2–7/4
| | big brother
| Big brother
|  
|-
|-
| | 8
| 8
| | 0-5-6-7-8
| 0–5–6–7–8
| | 1-11/10-9/7-3/2-7/4
| 1–11/10–9/7–3/2–7/4
| | orwell
| Orwell
|  
|-
|-
| | 9
| 9
| | 0-2-3-5-10
| 0–2–3–5–10
| | 1-11/8-8/5-11/10-6/5
| 1–11/10–6/5–11/8–8/5
| | zeus
| Zeus
|  
|-
|-
| | 10
| 10
| | 0-2-5-7-10
| 0–2–5–7–10
| | 1-11/8-11/10-3/2-6/5
| 1–11/10–6/5–11/8–3/2
| | zeus
| Zeus
|  
|-
|-
| | 11
| 11
| | 0-2-3-8-10
| 0–2–3–8–10
| | 1-11/8-8/5-7/4-6/5
| 1–6/5–11/8–8/5–7/4
| | orwell
| Orwell
|  
|-
|-
| | 12
| 12
| | 0-2-5-8-10
| 0–2–5–8–10
| | 1-11/8-11/10-7/4-6/5
| 1–11/10–6/5–11/8–7/4
| | orwell
| Orwell
|  
|-
|-
| | 13
| 13
| | 0-3-5-8-10
| 0–3–5–8–10
| | 1-8/5-11/10-7/4-6/5
| 1–6/5–11/10–8/5–7/4
| | zeus
| Zeus
|  
|-
|-
| | 14
| 14
| | 0-2-7-8-10
| 0–2–7–8–10
| | 1-11/8-3/2-7/4-6/5
| 1–6/5–11/8–3/2–7/4
| | orwell
| Orwell
|  
|-
|-
| | 15
| 15
| | 0-5-7-8-10
| 0–5–7–8–10
| | 1-11/10-3/2-7/4-6/5
| 1–11/10–6/5–3/2–7/4
| | zeus
| Zeus
|  
|-
|-
| | 16
| 16
| | 0-1-3-6-11
| 0–1–3–6–11
| | 1-7/6-8/5-9/7-7/5
| 1–7/6–9/7–7/5–8/5
| | orwell
| Orwell
|  
|-
|-
| | 17
| 17
| | 0-3-5-6-11
| 0–3–5–6–11
| | 1-8/5-11/10-9/7-7/5
| 1–11/10–9/7–7/5
| | orwell
| Orwell
|  
|-
|-
| | 18
| 18
| | 0-1-3-8-11
| 0–1–3–8–11
| | 1-7/6-8/5-7/4-7/5
| 1–7/6–7/5–8/5–7/4
| | zeus
| Zeus
|  
|-
|-
| | 19
| 19
| | 0-3-5-8-11
| 0–3–5–8–11
| | 1-8/5-11/10-7/4-7/5
| 1–11/10–8/5–7/5–7/4
| | minerva
| Minerva
|  
|-
|-
| | 20
| 20
| | 0-1-6-8-11
| 0–1–6–8–11
| | 1-7/6-14/11-7/4-7/5
| 1–7/6–14/11–7/5–7/4
| | utonal
| Utonal
| [[770:924:1155:1320:1680|1/(24:20:16:14:11)]]
|-
|-
| | 21
| 21
| | 0-3-6-8-11
| 0–3–6–8–11
| | 1-8/5-9/7-7/4-7/5
| 1–9/7–7/5–8/5–7/4
| | minerva
| Minerva
|  
|-
|-
| | 22
| 22
| | 0-5-6-8-11
| 0–5–6–8–11
| | 1-11/10-9/7-7/4-7/5
| 1–11/10–9/7–7/5–7/4
| | orwell
| Orwell
|  
|-
|-
| | 23
| 23
| | 0-3-5-10-11
| 0–3–5–10–11
| | 1-8/5-11/10-6/5-7/5
| 1–11/10–6/5–7/5–8/5
| | otonal
| Otonal
| [[4:5:6:7:11]]
|-
|-
| | 24
| 24
| | 0-3-8-10-11
| 0–3–8–10–11
| | 1-8/5-7/4-6/5-7/5
| 1–6/5–7/5–8/5–7/4
| | zeus
| Zeus
|  
|-
|-
| | 25
| 25
| | 0-5-8-10-11
| 0–5–8–10–11
| | 1-11/10-7/4-6/5-7/5
| 1–11/10–6/5–7/5–7/4
| | orwell
| Orwell
|  
|-
|-
| | 26
| 26
| | 0-1-2-7-12
| 0–1–2–7–12
| | 1-7/6-11/8-3/2-18/11
| 1–7/6–11/8–3/2–18/11
| | big brother
| Big brother
|  
|-
|-
| | 27
| 27
| | 0-2-5-7-12
| 0–2–5–7–12
| | 1-11/8-11/10-3/2-18/11
| 1–11/10–11/8–3/2–18/11
| | biyatismic
| Biyatismic
|  
|-
|-
| | 28
| 28
| | 0-1-6-7-12
| 0–1–6–7–12
| | 1-7/6-9/7-3/2-18/11
| 1–7/6–9/7–3/2–18/11
| | big brother
| Big brother
|  
|-
|-
| | 29
| 29
| | 0-5-6-7-12
| 0–5–6–7–12
| | 1-11/10-9/7-3/2-18/11
| 1–11/10–9/7–3/2–18/11
| | big brother
| Big brother
|  
|-
|-
| | 30
| 30
| | 0-2-5-10-12
| 0–2–5–10–12
| | 1-11/8-11/10-6/5-18/11
| 1–11/10–6/5–11/8–18/11
| | zeus
| Zeus
|  
|-
|-
| | 31
| 31
| | 0-2-7-10-12
| 0–2–7–10–12
| | 1-11/8-3/2-6/5-18/11
| 1–6/5–11/8–3/2–18/11
| | zeus
| Zeus
|  
|-
|-
| | 32
| 32
| | 0-5-7-10-12
| 0–5–7–10–12
| | 1-11/10-3/2-6/5-18/11
| 1–11/10–6/5–3/2–18/11
| | biyatismic
| Biyatismic
|  
|-
|-
| | 33
| 33
| | 0-1-6-11-12
| 0–1–6–11–12
| | 1-7/6-9/7-7/5-18/11
| 1–7/6–9/7–7/5–18/11
| | big brother
| Big brother
|  
|-
|-
| | 34
| 34
| | 0-5-6-11-12
| 0–5–6–11–12
| | 1-11/10-9/7-7/5-18/11
| 1–11/10–9/7–7/5–18/11
| | big brother
| Big brother
|  
|-
|-
| | 35
| 35
| | 0-5-10-11-12
| 0–5–10–11–12
| | 1-11/10-6/5-7/5-18/11
| 1–11/10–6/5–7/5–18/11
| | big brother
| Big brother
|  
|-
|-
| | 36
| 36
| | 0-2-3-8-14
| 0–2–3–8–14
| | 1-11/8-8/5-7/4-9/8
| 1–9/8–11/8–8/5–7/4
| | orwell
| Orwell
|  
|-
|-
| | 37
| 37
| | 0-3-6-8-14
| 0–3–6–8–14
| | 1-8/5-9/7-7/4-9/8
| 1–9/8–9/7–8/5–7/4
| | minerva
| Minerva
|  
|-
|-
| | 38
| 38
| | 0-2-7-8-14
| 0–2–7–8–14
| | 1-11/8-3/2-7/4-9/8
| 1–11/8–3/2–7/4–9/8
| | otonal
| Otonal
| [[4:6:7:9:11]]
|-
|-
| | 39
| 39
| | 0-6-7-8-14
| 0–6–7–8–14
| | 1-9/7-3/2-7/4-9/8
| 1–9/8–9/7–3/2–7/4
| | mothwellsmic
| Mothwellsmic
|  
|-
|-
| | 40
| 40
| | 0-3-6-11-14
| 0–3–6–11–14
| | 1-8/5-9/7-7/5-9/8
| 1–9/8–9/7–7/5–8/5
| | minerva
| Minerva
|  
|-
|-
| | 41
| 41
| | 0-3-8-11-14
| 0–3–8–11–14
| | 1-8/5-7/4-7/5-9/8
| 1–9/8–7/5–8/5–7/4
| | minerva
| Minerva
|  
|-
|-
| | 42
| 42
| | 0-6-8-11-14
| 0–6–8–11–14
| | 1-9/7-7/4-7/5-9/8
| 1–9/8–9/7–7/5–7/4
| | minerva
| Minerva
|  
|-
|-
| | 43
| 43
| | 0-2-7-12-14
| 0–2–7–12–14
| | 1-11/8-3/2-18/11-9/8
| 1–9/8–11/8–3/2–18/11
| | biyatismic
| Biyatismic
|  
|-
|-
| | 44
| 44
| | 0-6-7-12-14
| 0–6–7–12–14
| | 1-9/7-3/2-18/11-9/8
| 1–9/8–9/7–3/2–18/11
| | utonal
| Utonal
| [[462:693:792:1008:1232|1/(24:16:14:11:9)]]
|-
|-
| | 45
| 45
| | 0-6-11-12-14
| 0–6–11–12–14
| | 1-9/7-7/5-18/11-9/8
| 1–9/8–9/7–7/5–18/11
| | orwell
| Orwell
|  
|-
|-
| | 46
| 46
| | 0-3-5-6-17
| 0–3–5–6–17
| | 1-8/5-11/10-9/7-9/5
| 1–11/10–9/7–8/5–9/5
| | unimarvel
| Marvel11
|  
|-
|-
| | 47
| 47
| | 0-5-6-7-17
| 0–5–6–7–17
| | 1-11/10-9/7-3/2-9/5
| 1–11/10–9/7–3/2–9/5
| | big brother
| Big brother
|  
|-
|-
| | 48
| 48
| | 0-3-5-10-17
| 0–3–5–10–17
| | 1-8/5-11/10-6/5-9/5
| 1–11/10–6/5–8/5–9/5
| | otonal
| Otonal
| [[4:5:6:9:11]]
|-
|-
| | 49
| 49
| | 0-5-7-10-17
| 0–5–7–10–17
| | 1-11/10-3/2-6/5-9/5
| 1–11/10–6/5–3/2–9/5
| | biyatismic
| Biyatismic
|  
|-
|-
| | 50
| 50
| | 0-3-5-11-17
| 0–3–5–11–17
| | 1-8/5-11/10-7/5-9/5
| 1–11/10–7/5–8/5–9/5
| | otonal
| Otonal
| [[4:5:7:9:11]]
|-
|-
| | 51
| 51
| | 0-3-6-11-17
| 0–3–6–11–17
| | 1-8/5-9/7-7/5-9/5
| 1–9/7–7/5–8/5–9/5
| | minerva
| Minerva
|  
|-
|-
| | 52
| 52
| | 0-5-6-11-17
| 0–5–6–11–17
| | 1-11/10-9/7-7/5-9/5
| 1–11/10–9/7–7/5–9/5
| | big brother
| Big brother
|  
|-
|-
| | 53
| 53
| | 0-3-10-11-17
| 0–3–10–11–17
| | 1-8/5-6/5-7/5-9/5
| 1–6/5–7/5–8/5–9/5
| | otonal
| Otonal
| [[4:5:6:7:9]]
|-
|-
| | 54
| 54
| | 0-5-10-11-17
| 0–5–10–11–17
| | 1-11/10-6/5-7/5-9/5
| 1–11/10–6/5–7/5–9/5
| | otonal
| Otonal
| [[5:6:7:9:11]]
|-
|-
| | 55
| 55
| | 0-5-6-12-17
| 0–5–6–12–17
| | 1-11/10-9/7-18/11-9/5
| 1–11/10–9/7–18/11–9/5
| | big brother
| Big brother
|  
|-
|-
| | 56
| 56
| | 0-5-7-12-17
| 0–5–7–12–17
| | 1-11/10-3/2-18/11-9/5
| 1–11/10–3/2–18/11–9/5
| | biyatismic
| Biyatismic
|  
|-
|-
| | 57
| 57
| | 0-6-7-12-17
| 0–6–7–12–17
| | 1-9/7-3/2-18/11-9/5
| 1–9/7–3/2–18/11–9/5
| | utonal
| Utonal
| [[1155:1386:1980:2520:3080|1/(24:20:14:11:9)]]
|-
|-
| | 58
| 58
| | 0-5-10-12-17
| 0–5–10–12–17
| | 1-11/10-6/5-18/11-9/5
| 1–11/10–6/5–18/11–9/5
| | biyatismic
| Biyatismic
|  
|-
|-
| | 59
| 59
| | 0-7-10-12-17
| 0–7–10–12–17
| | 1-3/2-6/5-18/11-9/5
| 1–6/5–3/2–18/11–9/5
| | biyatismic
| Biyatismic
|  
|-
|-
| | 60
| 60
| | 0-5-11-12-17
| 0–5–11–12–17
| | 1-11/10-7/5-18/11-9/5
| 1–11/10–7/5–18/11–9/5
| | big brother
| Big brother
|  
|-
|-
| | 61
| 61
| | 0-6-11-12-17
| 0–6–11–12–17
| | 1-9/7-7/5-18/11-9/5
| 1–9/7–7/5–18/11–9/5
| | big brother
| Big brother
|  
|-
|-
| | 62
| 62
| | 0-10-11-12-17
| 0–10–11–12–17
| | 1-6/5-7/5-18/11-9/5
| 1–6/5–7/5–18/11–9/5
| | big brother
| Big brother
|  
|-
|-
| | 63
| 63
| | 0-3-6-14-17
| 0–3–6–14–17
| | 1-8/5-9/7-9/8-9/5
| 1–9/8–9/7–8/5–9/5
| | marvel
| Marvel
|  
|-
|-
| | 64
| 64
| | 0-6-7-14-17
| 0–6–7–14–17
| | 1-9/7-3/2-9/8-9/5
| 1–9/8–9/7–3/2–9/5
| | utonal
| Utonal
| [[210:252:315:360:560|1/(24:20:16:14:9)]]
|-
|-
| | 65
| 65
| | 0-3-11-14-17
| 0–3–11–14–17
| | 1-8/5-7/5-9/8-9/5
| 1–9/8–7/5–8/5–9/5
| | marvel
| Marvel
|  
|-
|-
| | 66
| 66
| | 0-6-11-14-17
| 0–6–11–14–17
| | 1-9/7-7/5-9/8-9/5
| 1–9/8–9/7–7/5–9/5
| | minerva
| Minerva
|  
|-
|-
| | 67
| 67
| | 0-6-12-14-17
| 0–6–12–14–17
| | 1-9/7-18/11-9/8-9/5
| 1–9/8–9/7–18/11–9/5
| | utonal
| Utonal
| [[924:1155:1320:2016:2464|1/(20:16:14:11:9)]]
|-
|-
| | 68
| 68
| | 0-7-12-14-17
| 0–7–12–14–17
| | 1-3/2-18/11-9/8-9/5
| 1–9/8–3/2–18/11–9/5
| | utonal
| Utonal
| [[330:396:495:720:880|1/(24:20:16:11:9)]]
|-
|-
| | 69
| 69
| | 0-11-12-14-17
| 0–11–12–14–17
| | 1-7/5-18/11-9/8-9/5
| 1–9/8–7/5–18/11–9/5
| | unimarvel
| Marvel11
|  
|}
|}


=Hexads=
== Hexads ==
 
{| class="wikitable center-1"
{| class="wikitable"
|-
|-
| | Number
! #
| | Chord
! Generators
| | Transversal
! Transversal
| | Type
! Type
! Comment
|-
|-
| | 1
| 1
| | 0-2-3-5-8-10
| 0–2–3–5–8–10
| | 1-11/8-8/5-11/10-7/4-6/5
| 1–11/10–6/5–11/8–8/5–7/4
| | orwell
| Orwell
|  
|-
|-
| | 2
| 2
| | 0-2-5-7-8-10
| 0–2–5–7–8–10
| | 1-11/8-11/10-3/2-7/4-6/5
| 1–11/10–6/5–11/8–3/2–7/4
| | orwell
| Orwell
|  
|-
|-
| | 3
| 3
| | 0-1-3-6-8-11
| 0–1–3–6–8–11
| | 1-7/6-8/5-9/7-7/4-7/5
| 1–7/6–9/7–7/5–8/5–7/4
| | orwell
| Orwell
|  
|-
|-
| | 4
| 4
| | 0-3-5-6-8-11
| 0–3–5–6–8–11
| | 1-8/5-11/10-9/7-7/4-7/5
| 1–11/10–9/7–7/5–8/5–7/4
| | orwell
| Orwell
|  
|-
|-
| | 5
| 5
| | 0-3-5-8-10-11
| 0–3–5–8–10–11
| | 1-8/5-11/10-7/4-6/5-7/5
| 1–11/10–6/5–7/5–8/5–7/4
| | orwell
| Orwell
|  
|-
|-
| | 6
| 6
| | 0-2-5-7-10-12
| 0–2–5–7–10–12
| | 1-11/8-11/10-3/2-6/5-18/11
| 1–11/10–6/5–11/8–3/2–18/11
| | zeus
| Zeus
|  
|-
|-
| | 7
| 7
| | 0-3-6-8-11-14
| 0–3–6–8–11–14
| | 1-8/5-9/7-7/4-7/5-9/8
| 1–9/8–9/7–7/5–8/5–7/4
| | minerva
| Minerva
|  
|-
|-
| | 8
| 8
| | 0-3-5-6-11-17
| 0–3–5–6–11–17
| | 1-8/5-11/10-9/7-7/5-9/5
| 1–11/10–9/7–7/5–8/5–9/5
| | orwell
| Orwell
|  
|-
|-
| | 9
| 9
| | 0-3-5-10-11-17
| 0–3–5–10–11–17
| | 1-8/5-11/10-6/5-7/5-9/5
| 1–11/10–6/5–7/5–8/5–9/5
| | otonal
| Otonal
| [[4:5:6:7:9:11]]
|-
|-
| | 10
| 10
| | 0-5-6-7-12-17
| 0–5–6–7–12–17
| | 1-11/10-9/7-3/2-18/11-9/5
| 1–11/10–9/7–3/2–18/11–9/5
| | big brother
| Big brother
|  
|-
|-
| | 11
| 11
| | 0-5-7-10-12-17
| 0–5–7–10–12–17
| | 1-11/10-3/2-6/5-18/11-9/5
| 1–11/10–6/5–3/2–18/11–9/5
| | biyatismic
| Biyatismic
|  
|-
|-
| | 12
| 12
| | 0-5-6-11-12-17
| 0–5–6–11–12–17
| | 1-11/10-9/7-7/5-18/11-9/5
| 1–11/10–9/7–7/5–18/11–9/5
| | big brother
| Big brother
|  
|-
|-
| | 13
| 13
| | 0-5-10-11-12-17
| 0–5–10–11–12–17
| | 1-11/10-6/5-7/5-18/11-9/5
| 1–11/10–6/5–7/5–18/11–9/5
| | big brother
| Big brother
|  
|-
|-
| | 14
| 14
| | 0-3-6-11-14-17
| 0–3–6–11–14–17
| | 1-8/5-9/7-7/5-9/8-9/5
| 1–9/8–9/7–7/5–8/5–9/5
| | minerva
| Minerva
|  
|-
|-
| | 15
| 15
| | 0-6-7-12-14-17
| 0–6–7–12–14–17
| | 1-9/7-3/2-18/11-9/8-9/5
| 1–9/8–9/7–3/2–18/11–9/5
| | utonal
| Utonal
| [[2310:2772:3465:3960:5040:6160|1/(24:20:16:14:11:9)]]
|-
|-
| | 16
| 16
| | 0-6-11-12-14-17
| 0–6–11–12–14–17
| | 1-9/7-7/5-18/11-9/8-9/5
| 1–9/8–9/7–7/5–18/11–9/5
| | orwell
| Orwell
|  
|}
|}
[[Category:Lists of chords]]
[[Category:Lists of chords]]
[[Category:Dyadic chords]]
[[Category:Dyadic chords]]
[[Category:11-limit]]
[[Category:11-limit]]
[[Category:Orwell]]
[[Category:Orwell]]
[[Category:Triads]]
[[Category:Tetrads]]
[[Category:Pentads]]
[[Category:Hexads]]
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