Chords of orwell - Revision history

FloraC: Unimarvel -> marvel11

2026-01-27T19:09:59Z

Unimarvel -> marvel11

← Older revision		Revision as of 19:09, 27 January 2026
Line 4:		Line 4:
	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.		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\|~~unimarvel~~]]. 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]].		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]].		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]].
Line 353:		Line 353:
	\| 0–1–3–6		\| 0–1–3–6
	\| 1–7/6–9/7–8/5		\| 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 360:		Line 360:
	\| 0–3–5–6		\| 0–3–5–6
	\| 1–11/10–9/7–8/5		\| 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 731:		Line 731:
	\| 0–2–3–14		\| 0–2–3–14
	\| 1–9/8–11/8–8/5		\| 1–9/8–11/8–8/5
	\| ~~Unimarvel~~		\| Marvel11
	\|		\|
	\|		\|
Line 829:		Line 829:
	\| 0–11–12–14		\| 0–11–12–14
	\| 1–9/8–7/5–18/11		\| 1–9/8–7/5–18/11
	\| ~~Unimarvel~~		\| Marvel11
	\|		\|
	\|		\|
Line 1,270:		Line 1,270:
	\| 0–3–5–6–17		\| 0–3–5–6–17
	\| 1–11/10–9/7–8/5–9/5		\| 1–11/10–9/7–8/5–9/5
	\| ~~Unimarvel~~		\| Marvel11
	\|		\|
	\|-		\|-
Line 1,408:		Line 1,408:
	\| 0–11–12–14–17		\| 0–11–12–14–17
	\| 1–9/8–7/5–18/11–9/5		\| 1–9/8–7/5–18/11–9/5
	\| ~~Unimarvel~~		\| Marvel11
	\|		\|
	\|}		\|}

FloraC: + Template: Breadcrumb

2026-01-24T11:03:35Z

+ Template: Breadcrumb

← Older revision		Revision as of 11:03, 24 January 2026
Line 1:		Line 1:
			{{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.		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.

FloraC: FloraC moved page Orwell/Chords to Chords of orwell over a redirect without leaving a redirect

2026-01-24T11:02:51Z

FloraC moved page Orwell/Chords to Chords of orwell over a redirect without leaving a redirect

← Older revision	Revision as of 11:02, 24 January 2026
(No difference)

FloraC: Rewrite intro

2026-01-24T10:41:40Z

Rewrite intro

← Older revision		Revision as of 10:41, 24 January 2026
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.		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\|unimarvel]]. 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 ==

FloraC: Complete remarking

2026-01-24T10:25:58Z

Complete remarking

Show changes

FloraC: Sort intervals by size for tetrads

2026-01-24T10:04:45Z

Sort intervals by size for tetrads

Show changes

FloraC: Remark on tetrads

2026-01-24T09:56:10Z

Remark on tetrads

Show changes

FloraC: Use comment to link to chord articles instead of listing all the rotations

2026-01-24T08:38:26Z

Use comment to link to chord articles instead of listing all the rotations

Show changes

FloraC: Fix linking

2026-01-24T07:21:44Z

Fix linking

← Older revision		Revision as of 07:21, 24 January 2026
Line 490:		Line 490:
	\| 1–7/6–11/8–8/5		\| 1–7/6–11/8–8/5
	\| Orwellian		\| Orwellian
	\| [[File:~~Orwelltetrad22edo~~.~~Mp3~~]]		\| [[File:OrwellTetrad22edo.mp3]]
	\|-		\|-
	\| 2		\| 2
Line 496:		Line 496:
	\| 1–11/8–8/5–11/10		\| 1–11/8–8/5–11/10
	\| Keenanismic		\| Keenanismic
	\| [[File:Orwell_0_2_3_5_22edo.~~Mp3~~]]		\| [[File:Orwell_0_2_3_5_22edo.mp3]]
	\|-		\|-
	\| 3		\| 3
Line 502:		Line 502:
	\| 1–7/6–8/5–9/7		\| 1–7/6–8/5–9/7
	\| Unimarvel		\| Unimarvel
	\| [[File:Orwell_0_1_3_6_22edo.~~Mp3~~]]		\| [[File:Orwell_0_1_3_6_22edo.mp3]]
	\|-		\|-
	\| 4		\| 4
Line 508:		Line 508:
	\| 1–8/5–11/10–9/7		\| 1–8/5–11/10–9/7
	\| Unimarvel		\| Unimarvel
	\| [[File:Orwell_0_3_5_6_22edo.~~Mp3~~]]		\| [[File:Orwell_0_3_5_6_22edo.mp3]]
	\|-		\|-
	\| 5		\| 5
Line 514:		Line 514:
	\| 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
Line 520:		Line 520:
	\| 1–11/8–11/10–3/2		\| 1–11/8–11/10–3/2
	\| Biyatismic		\| Biyatismic
	\| [[File:Orwell_0_2_5_7_22edo.~~Mp3~~]]		\| [[File:Orwell_0_2_5_7_22edo.mp3]]
	\|-		\|-
	\| 7		\| 7
Line 526:		Line 526:
	\| 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
Line 532:		Line 532:
	\| 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
Line 538:		Line 538:
	\| 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
Line 544:		Line 544:
	\| 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
Line 550:		Line 550:
	\| 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
Line 556:		Line 556:
	\| 1–11/8–11/10–7/4		\| 1–11/8–11/10–7/4
	\| Minerva		\| Minerva
	\| [[File:Orwell_0_2_5_8_22edo.~~Mp3~~]]		\| [[File:Orwell_0_2_5_8_22edo.mp3]]
	\|-		\|-
	\| 13		\| 13
Line 562:		Line 562:
	\| 1–8/5–11/10–7/4		\| 1–8/5–11/10–7/4
	\| Valinorsmic		\| Valinorsmic
	\| [[File:Orwell_0_3_5_8_22edo.~~Mp3~~]]		\| [[File:Orwell_0_3_5_8_22edo.mp3]]
	\|-		\|-
	\| 14		\| 14
Line 568:		Line 568:
	\| 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

FloraC: Style

2026-01-24T07:19:02Z

Style

Show changes