Xenharmonic Wiki

Chords of orwell: Difference between revisions

← Older edit
VisualWikitext
Use comment to link to chord articles instead of listing all the rotations
Unimarvel -> marvel11
 
(6 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
!  
! Comment
! Example in 22edo
|-
|-
| 1
| 1
Line 334: Line 340:
| 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]]
|-
|-
Line 358: Line 368:
| 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]]
|-
|-
Line 370: Line 382:
| 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]]
|-
|-
Line 376: Line 389:
| 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]]
|-
|-
Line 382: Line 396:
| 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]]
|-
|-
Line 388: Line 403:
| 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]]
|-
|-
Line 394: Line 410:
| 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]]
|-
|-
Line 412: Line 431:
| 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
|
|  
|  
|-
|-
Line 424: Line 445:
| 1–11/10–9/7–7/4
| 1–11/10–9/7–7/4
| Orwell
| Orwell
|
|  
|  
|-
|-
Line 430: Line 452:
| 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]]
|  
|  
|-
|-
Line 436: Line 459:
| 1–11/8–3/2–7/4
| 1–11/8–3/2–7/4
| Otonal
| Otonal
|
|  
|  
|-
|-
Line 442: Line 466:
| 1–11/10–3/2–7/4
| 1–11/10–3/2–7/4
| Zeus
| Zeus
|
|  
|  
|-
|-
Line 448: Line 473:
| 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
|
|  
|  
|-
|-
Line 520: Line 557:
| 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
|
|  
|  
|-
|-
Line 532: Line 571:
| 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]]
|  
|  
|-
|-
Line 568: Line 613:
| 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
|
|  
|  
|-
|-
Line 580: Line 627:
| 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
|
|  
|  
|-
|-
Line 592: Line 641:
| 1–7/6–9/7–18/11
| 1–7/6–9/7–18/11
| Big brother
| Big brother
|
|  
|  
|-
|-
Line 598: Line 648:
| 1–12/11–14/11–18/11
| 1–12/11–14/11–18/11
| Otonal
| Otonal
|
|  
|  
|-
|-
Line 604: Line 655:
| 1–7/6–3/2–18/11
| 1–7/6–3/2–18/11
| Big brother
| Big brother
|
|  
|  
|-
|-
Line 610: Line 662:
| 1–11/8–3/2–18/11
| 1–11/8–3/2–18/11
| Biyatismic
| Biyatismic
|
|  
|  
|-
|-
Line 616: Line 669:
| 1–12/11–3/2–18/11
| 1–12/11–3/2–18/11
| Ambitonal
| Ambitonal
| 11-odd-limit ASS
|  
|  
|-
|-
Line 622: Line 676:
| 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
|
|  
|  
|-
|-
Line 634: Line 690:
| 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
|
|  
|  
|-
|-
Line 646: Line 704:
| 1–7/6–7/5–18/11
| 1–7/6–7/5–18/11
| Swetismic
| Swetismic
|
|  
|  
|-
|-
Line 652: Line 711:
| 1–11/10–7/5–18/11
| 1–11/10–7/5–18/11
| Big brother
| Big brother
|
|  
|  
|-
|-
Line 658: Line 718:
| 1–9/7–7/5–18/11
| 1–9/7–7/5–18/11
| Big brother
| Big brother
|
|  
|  
|-
|-
Line 664: Line 725:
| 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
|
|  
|  
|-
|-
Line 772: Line 851:
| 1–11/10–9/7–9/5
| 1–11/10–9/7–9/5
| Swetismic
| Swetismic
|
|  
|  
|-
|-
Line 778: Line 858:
| 1–11/10–3/2–9/5
| 1–11/10–3/2–9/5
| Biyatismic
| Biyatismic
|
|  
|  
|-
|-
Line 784: Line 865:
| 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]]
|  
|  
|-
|-
Line 796: Line 879:
| 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]]
|  
|  
|-
|-
Line 814: Line 900:
| 1–11/10–7/5–9/5
| 1–11/10–7/5–9/5
| Otonal
| Otonal
|
|  
|  
|-
|-
Line 820: Line 907:
| 1–9/7–7/5–9/5
| 1–9/7–7/5–9/5
| Mothwellsmic
| Mothwellsmic
|
|  
|  
|-
|-
Line 826: Line 914:
| 1–6/5–7/5–9/5
| 1–6/5–7/5–9/5
| Otonal
| Otonal
| [[5:6:7:9]]
|  
|  
|-
|-
Line 832: Line 921:
| 1–11/10–18/11–9/5
| 1–11/10–18/11–9/5
| Biyatismic
| Biyatismic
|
|  
|  
|-
|-
Line 838: Line 928:
| 1–9/7–18/11–9/5
| 1–9/7–18/11–9/5
| Utonal
| Utonal
|
|  
|  
|-
|-
Line 844: Line 935:
| 1–3/2–18/11–9/5
| 1–3/2–18/11–9/5
| Utonal
| Utonal
|
|  
|  
|-
|-
Line 850: Line 942:
| 1–6/5–18/11–9/5
| 1–6/5–18/11–9/5
| Biyatismic
| Biyatismic
|
|  
|  
|-
|-
Line 856: Line 949:
| 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"
{| class="wikitable center-1"
|-
|-
! #
! #
! Chord
! Generators
! Transversal
! Transversal
! Type
! Type
! Comment
|-
|-
| 1
| 1
Line 901: 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 921: 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 931: 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 936: 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 1,026: 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 1,036: 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 1,041: 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 1,061: 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 1,066: 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 1,071: 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 1,086: 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 1,131: 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 1,156: 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 1,166: 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 1,171: 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 1,176: 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 1,181: 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 1,186: 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 1,196: 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 1,201: 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 1,206: 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 1,300: 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 1,310: 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 1,315: 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"