Xenharmonic Wiki

Chords of orwell: Difference between revisions

← Older edit
VisualWikitext
Remark on tetrads
Unimarvel -> marvel11
 
(5 intermediate revisions by the same user not shown)
Line 1: Line 1:
Below are listed the [[11-odd-limit]] [[dyadic chord]]s 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 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, 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, [[undecimal marvel chords|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.
 
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.  
 
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]].  
 
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]].
For diagrams showing how some of these chords might map to a [[keyboard]] such as the Axis-49, see [[Orwell on an isomorphic keyboard]].
{{Todo|inline=1|cleanup}}


== Triads ==
== Triads ==
{| class="wikitable"
{| class="wikitable center-1"
|-
|-
! #
! #
Line 322: Line 327:


== Tetrads ==
== Tetrads ==
{| class="wikitable"
{| class="wikitable center-1"
|-
|-
! #
! #
! Chord
! Generators
! Transversal
! Transversal
! Type
! Type
Line 340: Line 345:
| 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
|  
|  
Line 347: Line 352:
| 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]]
Line 354: Line 359:
| 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]]
Line 368: Line 373:
| 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
|  
|  
Line 410: Line 415:
| 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
|  
|  
Line 417: Line 422:
| 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
|  
|  
Line 431: Line 436:
| 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
|  
|  
Line 473: Line 478:
| 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
|  
|  
Line 480: Line 485:
| 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
|  
|  
Line 487: Line 492:
| 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
|  
|  
Line 494: Line 499:
| 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
|  
|  
Line 501: Line 506:
| 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
|  
|  
Line 508: Line 513:
| 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
|  
|  
Line 515: Line 520:
| 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
|  
|  
Line 522: Line 527:
| 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
|  
|  
Line 529: Line 534:
| 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
|  
|  
Line 536: Line 541:
| 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
|  
|  
Line 543: Line 548:
| 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
|  
|  
Line 557: Line 562:
| 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
|  
|  
Line 571: Line 576:
| 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)]]
| [[70:84:105:120|1/(12:10:8:7)]]
Line 578: Line 583:
| 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
|  
|  
Line 585: Line 590:
| 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
|  
|  
Line 592: Line 597:
| 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
|  
|  
Line 599: Line 604:
| 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]]
| [[4:5:6:7]]
Line 613: Line 618:
| 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
|  
|  
Line 627: Line 632:
| 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
|  
|  
Line 676: Line 681:
| 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
|  
|  
Line 690: Line 695:
| 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
|  
|  
Line 725: Line 730:
| 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
|  
|  
|  
|  
Line 732: Line 737:
| 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
|  
|  
Line 739: Line 744:
| 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
|  
|  
Line 746: Line 751:
| 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)]]
| [[28:36:42:63|1/(9:7:6:4)]]
Line 753: Line 758:
| 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
|  
|  
Line 760: Line 765:
| 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
|  
|  
Line 767: Line 772:
| 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
|  
|  
Line 774: Line 779:
| 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]]
| [[4:6:7:9]]
Line 781: Line 786:
| 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
|  
|  
Line 788: Line 793:
| 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
|  
|  
Line 795: Line 800:
| 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
|  
|  
Line 802: Line 807:
| 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
|  
|  
Line 809: Line 814:
| 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
|  
|  
Line 816: Line 821:
| 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
|  
|  
Line 823: Line 828:
| 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
|  
|  
|  
|  
Line 830: Line 835:
| 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
|  
|  
Line 837: Line 842:
| 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
|  
|  
Line 865: Line 870:
| 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]]
| [[4:5:6:9]]
Line 879: Line 884:
| 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
| [[10:12:15:18]], [[12:15:18:20]]<br>9-odd-limit ASS
Line 886: Line 891:
| 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]]
| [[4:5:7:9]]
Line 949: Line 954:
| 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
|  
|  
Line 956: Line 961:
| 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)]]
| [[140:180:252:315|1/(9:7:5:4)]]
Line 963: Line 968:
| 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)]]
| [[20:30:36:45|1/(9:6:5:4)]]
Line 970: Line 975:
| 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
|  
|  
Line 977: Line 982:
| 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
|  
|  
Line 984: Line 989:


== Pentads ==
== Pentads ==
{| class="wikitable"
{| class="wikitable center-1"
|-
|-
! #
! #
! Chord
! Generators
! Transversal
! Transversal
! Type
! Type
! Comment
|-
|-
| 1
| 1
Line 995: Line 1,001:
| 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
Line 1,015: Line 1,025:
| 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
Line 1,025: Line 1,037:
| 1–7/6–9/7–3/2–7/4
| 1–7/6–9/7–3/2–7/4
| Big brother
| Big brother
|
|-
|-
| 8
| 8
Line 1,030: Line 1,043:
| 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
Line 1,120: Line 1,151:
| 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
Line 1,130: Line 1,163:
| 1–7/6–9/7–3/2–18/11
| 1–7/6–9/7–3/2–18/11
| Big brother
| Big brother
|
|-
|-
| 29
| 29
Line 1,135: Line 1,169:
| 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
Line 1,155: Line 1,193:
| 1–7/6–9/7–7/5–18/11
| 1–7/6–9/7–7/5–18/11
| Big brother
| Big brother
|
|-
|-
| 34
| 34
Line 1,160: Line 1,199:
| 1–11/10–9/7–7/5–18/11
| 1–11/10–9/7–7/5–18/11
| Big brother
| Big brother
|
|-
|-
| 35
| 35
Line 1,165: Line 1,205:
| 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
Line 1,180: Line 1,223:
| 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
Line 1,225: Line 1,277:
| 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
Line 1,250: Line 1,307:
| 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
Line 1,260: Line 1,319:
| 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
Line 1,265: Line 1,325:
| 1–11/10–9/7–18/11–9/5
| 1–11/10–9/7–18/11–9/5
| Big brother
| Big brother
|
|-
|-
| 56
| 56
Line 1,270: Line 1,331:
| 1–11/10–3/2–18/11–9/5
| 1–11/10–3/2–18/11–9/5
| Biyatismic
| Biyatismic
|
|-
|-
| 57
| 57
Line 1,275: Line 1,337:
| 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
Line 1,280: Line 1,343:
| 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
Line 1,290: Line 1,355:
| 1–11/10–7/5–18/11–9/5
| 1–11/10–7/5–18/11–9/5
| Big brother
| Big brother
|
|-
|-
| 61
| 61
Line 1,295: Line 1,361:
| 1–9/7–7/5–18/11–9/5
| 1–9/7–7/5–18/11–9/5
| Big brother
| Big brother
|
|-
|-
| 62
| 62
Line 1,300: Line 1,367:
| 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"
{| class="wikitable center-1"
|-
|-
! #
! #
! 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
Line 1,394: Line 1,479:
| 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
Line 1,404: Line 1,491:
| 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
Line 1,409: Line 1,497:
| 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
|
|}
|}


Retrieved from "https://en.xen.wiki/w/Chords_of_orwell"