Orwell - Revision history

FloraC: Cleanup on infobox

2026-02-09T09:33:22Z

Cleanup on infobox

← Older revision		Revision as of 09:33, 9 February 2026
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	\| Comma basis = [[225/224]], [[1728/1715]] (7-limit); <br> [[99/98]], [[121/120]], [[176/175]] (11-limit)		\| Comma basis = [[225/224]], [[1728/1715]] (7-limit); <br> [[99/98]], [[121/120]], [[176/175]] (11-limit)
	\| Edo join 1 = 22 \| Edo join 2 = 31		\| Edo join 1 = 22 \| Edo join 2 = 31
	\| ~~Generator~~ = 7/6 \| ~~Generator~~ tuning = 271.5 \| Optimization method = ~~CTE~~		\| Mapping = 1; 7 -3 8 2
			\| Generators = 7/6 \| Generators tuning = 271.5 \| Optimization method = CWE
	\| MOS scales = [[4L 1s]], [[4L 5s]], [[9L 4s]], [[9L 13s]]		\| MOS scales = [[4L 1s]], [[4L 5s]], [[9L 4s]], [[9L 13s]]
	~~\| Mapping = 1; 7 -3 8 2~~
	\| Pergen = (P8, cP5/7)		\| Pergen = (P8, cP5/7)
	\| Odd limit 1 = 7 \| Mistuning 1 = 4.27 \| Complexity 1 = 13		\| Odd limit 1 = 7 \| Mistuning 1 = 4.27 \| Complexity 1 = 13
	\| Odd limit 2 = (11-limit) 21 \| Mistuning 2 = 9.32 \| Complexity 2 = 22		\| Odd limit 2 = 11-limit 21 \| Mistuning 2 = 9.32 \| Complexity 2 = 22
	}}		}}
	[[File:Orwell generator in 31.jpg\|thumb\|Martin Aurell's diagram showing Orwell[9] generated in 31 tone equal temperament.]]		[[File:Orwell generator in 31.jpg\|thumb\|Martin Aurell's diagram showing Orwell[9] generated in 31 tone equal temperament.]]

FloraC: Chords of orwell isn't the main article of the chords and harmony section. Consolidate see-also links

2026-01-24T11:02:01Z

Chords of orwell isn't the main article of the chords and harmony section. Consolidate see-also links

← Older revision		Revision as of 11:02, 24 January 2026
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	=== Chords and harmony ===		=== Chords and harmony ===
	{{~~Main~~\| Chords of orwell }}		{{See also\| Chords of orwell \| Functional harmony in rank-2 temperaments }}
	~~{{See also~~\| Functional harmony in rank-2 temperaments }}

	The fundamental otonal consonance of orwell, voiced in a roughly {{w\|tertian harmony\|tertian}} manner, is 4:5:6:7:9:11. In terms of generator steps this is 0–(−3)–7–8–14–2, only available in a 22-tone mos. However, some subsets of this chord are way simpler, such as 8:11:12:14, which is 1–11/8–3/2–7/4 (0–2–7–8).		The fundamental otonal consonance of orwell, voiced in a roughly {{w\|tertian harmony\|tertian}} manner, is 4:5:6:7:9:11. In terms of generator steps this is 0–(−3)–7–8–14–2, only available in a 22-tone mos. However, some subsets of this chord are way simpler, such as 8:11:12:14, which is 1–11/8–3/2–7/4 (0–2–7–8).
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	== Keyboards ==		== Keyboards ==
	{{See also\| Orwell on an isomorphic keyboard }}		{{See also\| Orwell on an isomorphic keyboard \| Lumatone mapping for orwell }}
	~~{{See also~~\| Lumatone mapping for orwell}}

	To play interactive versions of these keyboards, check out [https://github.com/vsicurella/SuperVirtualKeyboard Vito Sicurella's plugin], which works with REAPER:		To play interactive versions of these keyboards, check out [https://github.com/vsicurella/SuperVirtualKeyboard Vito Sicurella's plugin], which works with REAPER:

Overthink: L notation is discouraged

2025-12-25T13:23:31Z

L notation is discouraged

← Older revision		Revision as of 13:23, 25 December 2025
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	\| Pergen = (P8, cP5/7)		\| Pergen = (P8, cP5/7)
	\| Odd limit 1 = 7 \| Mistuning 1 = 4.27 \| Complexity 1 = 13		\| Odd limit 1 = 7 \| Mistuning 1 = 4.27 \| Complexity 1 = 13
	\| Odd limit 2 = (~~L11~~) 21 \| Mistuning 2 = 9.32 \| Complexity 2 = 22		\| Odd limit 2 = (11-limit) 21 \| Mistuning 2 = 9.32 \| Complexity 2 = 22
	}}		}}
	[[File:Orwell generator in 31.jpg\|thumb\|Martin Aurell's diagram showing Orwell[9] generated in 31 tone equal temperament.]]		[[File:Orwell generator in 31.jpg\|thumb\|Martin Aurell's diagram showing Orwell[9] generated in 31 tone equal temperament.]]

FloraC: /* Rank-3 temperaments */ update some names

2025-11-30T13:56:33Z

Rank-3 temperaments: update some names

← Older revision		Revision as of 13:56, 30 November 2025
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	! 53tet		! 53tet
	\|-		\|-
	\| [[~~Marvel family\|~~Marvel]]		\| [[Marvel]]
	\|		\|
	\| Negri, septimin, august,<br>amavil, enneaportent		\| Negri, septimin, august,<br>amavil, enneaportent
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	\|		\|
	\|-		\|-
	\| [[Porwell ~~family\|Hewuermity~~]]		\| [[Porwell]]
	\|		\|
	\| Triforce, armodue,<br>twothirdtonic		\| Triforce, armodue,<br>twothirdtonic
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	\| Amity, hemischis		\| Amity, hemischis
	\|-		\|-
	\| [[~~Orwellismic family\|~~Orwellismic]]		\| [[Orwellismic]]
	\|		\|
	\| Beep, secund, infraorwell,<br>niner		\| Beep, secund, infraorwell,<br>niner
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	\| Quartonic, buzzard		\| Quartonic, buzzard
	\|-		\|-
	\| [[~~Nuwell family\|~~Nuwell]]		\| [[Nuwell]]
	\|		\|
	\| Progression, superpelog		\| Progression, superpelog
	\| Quasisuper, hedgehog		\| Quasisuper, hedgehog
	\| Squares, nusecond		\| Squares, nusecond
	\| ~~Tricot~~, hamity		\| Alphatrimot, hamity
	\|-		\|-
	\|		\|
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	\| Quasisupra, hedgehog		\| Quasisupra, hedgehog
	\| Squares, nusecond		\| Squares, nusecond
	\| ~~Tricot~~, hamity		\| Alphatrimot, hamity
	\|-		\|-
	\| [[~~Horwell family\|~~Horwell]]		\| [[Horwell]]
	\|		\|
	\|		\|

Lucius Chiaraviglio: /* Music */ Add Claudi Meneghin's ''Orwell Micro Trio, for Organ (Just: 7 Orwells = 1 Twelfth)'' (2025)

2025-11-13T08:02:15Z

Music: Add Claudi Meneghin's ''Orwell Micro Trio, for Organ (Just: 7 Orwells = 1 Twelfth)'' (2025)

← Older revision		Revision as of 08:02, 13 November 2025
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	; [[Claudi Meneghin]]		; [[Claudi Meneghin]]
	* [https://www.youtube.com/watch?v=zWrOiih7raY ''Orwell Canon 3 in 1 upon a Ground for Baroque Oboe, Viola, Clarinet, and Viola da Gamba''] (2024)		* [https://www.youtube.com/watch?v=zWrOiih7raY ''Orwell Canon 3 in 1 upon a Ground for Baroque Oboe, Viola, Clarinet, and Viola da Gamba''] (2024)
			* [https://www.youtube.com/shorts/g7C2OrFd-nk ''Orwell Micro Trio, for Organ (Just: 7 Orwells = 1 Twelfth)''] (2025) — in open-ended Orwell tuning, but with the generator adjusted to be extremely close to 12\53, at 271.71{{c}}

	; [[Herman Miller]]		; [[Herman Miller]]

ArrowHead294 at 20:36, 28 October 2025

2025-10-28T20:36:52Z

← Older revision		Revision as of 20:36, 28 October 2025
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	In orwell, [[8/5]] is divided into three equal steps, each of which represent [[7/6]], so that [[1728/1715]] ({{S\|6/S7}}) is tempered out. This means that the [[5/1\|5th harmonic (5/1)]] is divided into three equal steps that represent [[~]][[12/7]]. After two 8/5's (six generators), [[9/7]] is found by [[tempering out]] the marvel comma, [[225/224]], and thus the [[3/1\|just perfect twelfth (3/1)]] is divided into 7 equal steps.		In orwell, [[8/5]] is divided into three equal steps, each of which represent [[7/6]], so that [[1728/1715]] ({{S\|6/S7}}) is tempered out. This means that the [[5/1\|5th harmonic (5/1)]] is divided into three equal steps that represent [[~]][[12/7]]. After two 8/5's (six generators), [[9/7]] is found by [[tempering out]] the marvel comma, [[225/224]], and thus the [[3/1\|just perfect twelfth (3/1)]] is divided into 7 equal steps.

	In the 11-limit, two generators are equated to [[15/11]] and [[11/8]] (meaning [[99/98]] and [[121/120]] are tempered out). This means that three stacked generators makes the [[orwell tetrad]] 1–7/6–11/8–8/5, a chord in which every interval is a (tempered) 11-odd-limit consonance. Other such chords in undecimal orwell are the [[keenanismic chords]] and the [[swetismic chords]]. A far more complicated mapping of 11 at 33 generators, tempering out [[441/440]] instead, is also possible and is known as [[newspeak]] temperament.		In the 11-limit, two generators are equated to [[15/11]] and [[11/8]] (meaning [[99/98]] and [[121/120]] are tempered out). This means that three stacked generators makes the [[orwell tetrad]] 1–7/6–11/8–8/5, a chord in which every interval is a (tempered) 11-odd-limit consonance. Other such chords in undecimal orwell are the [[keenanismic chords]] and the [[swetismic chords]]. A far more complicated mapping of 11 at 33 generators, tempering out [[441/440]] instead, is also possible and is known as [[newspeak]] temperament; these two mappings unite on 31edo.

	Compatible [[equal temperaments]] include [[22edo]], [[31edo]], [[53edo]], and [[84edo]] (though in 84edo, 11-limit orwell uses the 84e [[val]]). Orwell is in better tune in lower limits than higher ones; the [[optimal patent val]] is [[296edo]] in the 5-limit, [[137edo]] in the 7-limit, and [[53edo]] in the 11-limit.		Compatible [[equal temperaments]] include [[22edo]], [[31edo]], [[53edo]], and [[84edo]] (though in 84edo, 11-limit orwell uses the 84e [[val]]). Orwell is in better tune in lower limits than higher ones; the [[optimal patent val]] is [[296edo]] in the 5-limit, [[137edo]] in the 7-limit, and [[53edo]] in the 11-limit.

Lucius Chiaraviglio: Fix wording a bit more

2025-10-27T01:00:17Z

Fix wording a bit more

← Older revision		Revision as of 01:00, 27 October 2025
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	'''Orwell''' – so named because 19 steps of [[84edo]], i.e. 19\84, is a possible generator – is an excellent [[7-limit]] [[regular temperament\|temperament]] and an amazing [[11-limit]] temperament because of the simplicity of [[harmonic]] [[11/1\|11]].		'''Orwell''' – so named because 19 steps of [[84edo]], i.e. 19\84, is a possible generator – is an excellent [[7-limit]] [[regular temperament\|temperament]] and an amazing [[11-limit]] temperament because of the simplicity of [[harmonic]] [[11/1\|11]].

	In orwell, [[8/5]] is divided into three equal steps, each of which represent [[7/6]], so that [[1728/1715]] ({{S\|6/S7}}) is tempered out. ~~Alternatively,~~ the [[5/1\|5th harmonic (5/1)]] is divided into 3 equal steps that represent [[~]][[12/7]]. After two 8/5's (six generators), [[9/7]] is found by [[tempering out]] the marvel comma, [[225/224]], and thus the [[3/1\|just perfect twelfth (3/1)]] is divided into 7 equal steps.		In orwell, [[8/5]] is divided into three equal steps, each of which represent [[7/6]], so that [[1728/1715]] ({{S\|6/S7}}) is tempered out. This means that the [[5/1\|5th harmonic (5/1)]] is divided into three equal steps that represent [[~]][[12/7]]. After two 8/5's (six generators), [[9/7]] is found by [[tempering out]] the marvel comma, [[225/224]], and thus the [[3/1\|just perfect twelfth (3/1)]] is divided into 7 equal steps.

	In the 11-limit, two generators are equated to [[15/11]] and [[11/8]] (meaning [[99/98]] and [[121/120]] are tempered out). This means that three stacked generators makes the [[orwell tetrad]] 1–7/6–11/8–8/5, a chord in which every interval is a (tempered) 11-odd-limit consonance. Other such chords in undecimal orwell are the [[keenanismic chords]] and the [[swetismic chords]]. A far more complicated mapping of 11 at 33 generators, tempering out [[441/440]] instead, is also possible and is known as [[newspeak]] temperament.		In the 11-limit, two generators are equated to [[15/11]] and [[11/8]] (meaning [[99/98]] and [[121/120]] are tempered out). This means that three stacked generators makes the [[orwell tetrad]] 1–7/6–11/8–8/5, a chord in which every interval is a (tempered) 11-odd-limit consonance. Other such chords in undecimal orwell are the [[keenanismic chords]] and the [[swetismic chords]]. A far more complicated mapping of 11 at 33 generators, tempering out [[441/440]] instead, is also possible and is known as [[newspeak]] temperament.

Lucius Chiaraviglio: Fix confusingly worded sentence in the introduction

2025-10-24T08:05:00Z

Fix confusingly worded sentence in the introduction

← Older revision		Revision as of 08:05, 24 October 2025
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	'''Orwell''' – so named because 19 steps of [[84edo]], i.e. 19\84, is a possible generator – is an excellent [[7-limit]] [[regular temperament\|temperament]] and an amazing [[11-limit]] temperament because of the simplicity of [[harmonic]] [[11/1\|11]].		'''Orwell''' – so named because 19 steps of [[84edo]], i.e. 19\84, is a possible generator – is an excellent [[7-limit]] [[regular temperament\|temperament]] and an amazing [[11-limit]] temperament because of the simplicity of [[harmonic]] [[11/1\|11]].

	In orwell, [[8/5]] is divided into three equal steps, each of which represent [[7/6]] (~~alternatively~~, the [[5/1\|5th harmonic (5/1)]] is divided into 3 equal steps that represent [[~]][[12/7]]~~), so that [[1728/1715]] ({{S\|6/S7}}) is tempered out~~. After two 8/5's (six generators), [[9/7]] is found by [[tempering out]] the marvel comma, [[225/224]], and thus the [[3/1\|just perfect twelfth (3/1)]] is divided into 7 equal steps.		In orwell, [[8/5]] is divided into three equal steps, each of which represent [[7/6]], so that [[1728/1715]] ({{S\|6/S7}}) is tempered out. Alternatively, the [[5/1\|5th harmonic (5/1)]] is divided into 3 equal steps that represent [[~]][[12/7]]. After two 8/5's (six generators), [[9/7]] is found by [[tempering out]] the marvel comma, [[225/224]], and thus the [[3/1\|just perfect twelfth (3/1)]] is divided into 7 equal steps.

	In the 11-limit, two generators are equated to [[15/11]] and [[11/8]] (meaning [[99/98]] and [[121/120]] are tempered out). This means that three stacked generators makes the [[orwell tetrad]] 1–7/6–11/8–8/5, a chord in which every interval is a (tempered) 11-odd-limit consonance. Other such chords in undecimal orwell are the [[keenanismic chords]] and the [[swetismic chords]]. A far more complicated mapping of 11 at 33 generators, tempering out [[441/440]] instead, is also possible and is known as [[newspeak]] temperament.		In the 11-limit, two generators are equated to [[15/11]] and [[11/8]] (meaning [[99/98]] and [[121/120]] are tempered out). This means that three stacked generators makes the [[orwell tetrad]] 1–7/6–11/8–8/5, a chord in which every interval is a (tempered) 11-odd-limit consonance. Other such chords in undecimal orwell are the [[keenanismic chords]] and the [[swetismic chords]]. A far more complicated mapping of 11 at 33 generators, tempering out [[441/440]] instead, is also possible and is known as [[newspeak]] temperament.

Overthink: Reverted target scale size change, + minimax errors

2025-10-19T04:43:08Z

Reverted target scale size change, + minimax errors

← Older revision		Revision as of 04:43, 19 October 2025
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	\| Mapping = 1; 7 -3 8 2		\| Mapping = 1; 7 -3 8 2
	\| Pergen = (P8, cP5/7)		\| Pergen = (P8, cP5/7)
	\| Odd limit 1 = 7 \| Mistuning 1 = ~~???~~ \| Complexity 1 = 31		\| Odd limit 1 = 7 \| Mistuning 1 = 4.27 \| Complexity 1 = 13
	\| Odd limit 2 = (L11) 21 \| Mistuning 2 = ~~???~~ \| Complexity 2 = 53		\| Odd limit 2 = (L11) 21 \| Mistuning 2 = 9.32 \| Complexity 2 = 22
	}}		}}
	[[File:Orwell generator in 31.jpg\|thumb\|Martin Aurell's diagram showing Orwell[9] generated in 31 tone equal temperament.]]		[[File:Orwell generator in 31.jpg\|thumb\|Martin Aurell's diagram showing Orwell[9] generated in 31 tone equal temperament.]]

FloraC: /* Tunings */ + destretched tunings

2025-10-08T09:43:29Z

Tunings: + destretched tunings

← Older revision		Revision as of 09:43, 8 October 2025
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	\|-		\|-
	! rowspan="2" \|		! rowspan="2" \|
	! colspan="2" \| Euclidean		! colspan="3" \| Euclidean
	\|-		\|-
	! Constrained		! Constrained
	! Constrained & skewed		! Constrained & skewed
			! Destretched
	\|-		\|-
	! Equilateral		! Equilateral
	\| CEE: ~7/6 = 271.3553{{c}}		\| CEE: ~7/6 = 271.3553{{c}}
	\| CSEE: ~7/6 = 271.3339{{c}}		\| CSEE: ~7/6 = 271.3339{{c}}
			\| POEE: ~7/6 = 271.3727{{c}}
	\|-		\|-
	! Tenney		! Tenney
	\| CTE: ~7/6 = 271.5130{{c}}		\| CTE: ~7/6 = 271.5130{{c}}
	\| CWE: ~7/6 = 271.5097{{c}}		\| CWE: ~7/6 = 271.5097{{c}}
			\| POTE: ~7/6 = 271.5087{{c}}
	\|-		\|-
	! Benedetti, <br>Wilson		! Benedetti, <br>Wilson
	\| CBE: ~7/6 = 271.5725{{c}}		\| CBE: ~7/6 = 271.5725{{c}}
	\| CSBE: ~7/6 = 271.5741{{c}}		\| CSBE: ~7/6 = 271.5741{{c}}
			\| POBE: ~7/6 = 271.5576{{c}}
	\|}		\|}

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	\|-		\|-
	! rowspan="2" \|		! rowspan="2" \|
	! colspan="2" \| Euclidean		! colspan="3" \| Euclidean
	\|-		\|-
	! Constrained		! Constrained
	! Constrained & skewed		! Constrained & skewed
			! Destretched
	\|-		\|-
	! Equilateral		! Equilateral
	\| CEE: ~7/6 = 271.4920{{c}}		\| CEE: ~7/6 = 271.4920{{c}}
	\| CSEE: ~7/6 = 271.3038{{c}}		\| CSEE: ~7/6 = 271.3038{{c}}
			\| POEE: ~7/6 = 271.1665{{c}}
	\|-		\|-
	! Tenney		! Tenney
	\| CTE: ~7/6 = 271.5597{{c}}		\| CTE: ~7/6 = 271.5597{{c}}
	\| CWE: ~7/6 = 271.4552{{c}}		\| CWE: ~7/6 = 271.4552{{c}}
			\| POTE: ~7/6 = 271.4261{{c}}
	\|-		\|-
	! Benedetti, <br>Wilson		! Benedetti, <br>Wilson
	\| CBE: ~7/6 = 271.5915{{c}}		\| CBE: ~7/6 = 271.5915{{c}}
	\| CSBE: ~7/6 = 271.5302{{c}}		\| CSBE: ~7/6 = 271.5302{{c}}
			\| POBE: ~7/6 = 271.5174{{c}}
	\|}		\|}