Starling and thrush - Revision history

FloraC: Text replacement - "rank-3 temperament" to "rank-3 temperament"

2026-06-08T08:36:18Z

Text replacement - "rank-3 temperament" to "rank-3 temperament"

← Older revision		Revision as of 08:36, 8 June 2026
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	\| Odd limit 2 = 11-limit 21 \| Mistuning 2 = 5.27 \| Complexity 2 = ?		\| Odd limit 2 = 11-limit 21 \| Mistuning 2 = 5.27 \| Complexity 2 = ?
	}}		}}
	'''Starling''' is a [[rank-3 ~~temperament\|rank-3]] [[regular temperament\|~~temperament]] with the same [[lattice]] structure as 5-limit JI, while identifying the [[7/4\|harmonic seventh (7/4)]] as a stack of a [[3/2\|perfect fifth (3/2)]] and three [[5/3\|classical major sixths (5/3)]] octave-reduced, [[tempering out]] [[126/125]]. It is the head of the [[starling family]].		'''Starling''' is a [[rank-3 temperament]] with the same [[lattice]] structure as 5-limit JI, while identifying the [[7/4\|harmonic seventh (7/4)]] as a stack of a [[3/2\|perfect fifth (3/2)]] and three [[5/3\|classical major sixths (5/3)]] octave-reduced, [[tempering out]] [[126/125]]. It is the head of the [[starling family]].

	In starling, classical minor thirds and major sixths are low-complexity intervals. A suitable 5-limit scale to temper via starling will be one where there are chains of minor thirds. Starling has a 6/5, 6/5, 6/5, 7/6 version of the [[diminished seventh chord]], which is very characteristic of it. Since this is a chord of [[meantone]] in wide use in Western {{w\|common practice}} harmony long before [[12edo]] established itself as the standard tuning, it is arguably more authentic to tune it as three stacked minor thirds and an augmented second, which is what it is in meantone, than as the modern version of four stacked very flat minor thirds.		In starling, classical minor thirds and major sixths are low-complexity intervals. A suitable 5-limit scale to temper via starling will be one where there are chains of minor thirds. Starling has a 6/5, 6/5, 6/5, 7/6 version of the [[diminished seventh chord]], which is very characteristic of it. Since this is a chord of [[meantone]] in wide use in Western {{w\|common practice}} harmony long before [[12edo]] established itself as the standard tuning, it is arguably more authentic to tune it as three stacked minor thirds and an augmented second, which is what it is in meantone, than as the modern version of four stacked very flat minor thirds.

FloraC: + infobox

2026-03-18T10:18:43Z

+ infobox

← Older revision		Revision as of 10:18, 18 March 2026
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			{{Infobox regtemp
			\| Title = Starling; thrush
			\| Subgroups = 2.3.5.7, 2.3.5.7.11
			\| Comma basis = [[126/125]] (7-limit); <br>[[126/125]], [[176/175]] (11-limit)
			\| Edo join 1 = 12 \| Edo join 2 = 15 \| Edo join 3 = 31
			\| Mapping = 1; 1 0 -2 -2; 0 1 3 5
			\| Generators = 3/2, 5/4
			\| Generators tuning = 701.6, 390.9
			\| Optimization method = CWE
			\| Odd limit 1 = 9 \| Mistuning 1 = 4.60 \| Complexity 1 = ?
			\| Odd limit 2 = 11-limit 21 \| Mistuning 2 = 5.27 \| Complexity 2 = ?
			}}
	'''Starling''' is a [[rank-3 temperament\|rank-3]] [[regular temperament\|temperament]] with the same [[lattice]] structure as 5-limit JI, while identifying the [[7/4\|harmonic seventh (7/4)]] as a stack of a [[3/2\|perfect fifth (3/2)]] and three [[5/3\|classical major sixths (5/3)]] octave-reduced, [[tempering out]] [[126/125]]. It is the head of the [[starling family]].		'''Starling''' is a [[rank-3 temperament\|rank-3]] [[regular temperament\|temperament]] with the same [[lattice]] structure as 5-limit JI, while identifying the [[7/4\|harmonic seventh (7/4)]] as a stack of a [[3/2\|perfect fifth (3/2)]] and three [[5/3\|classical major sixths (5/3)]] octave-reduced, [[tempering out]] [[126/125]]. It is the head of the [[starling family]].

FloraC: /* Notes */ -> references

2025-12-12T14:08:20Z

Notes: -> references

← Older revision		Revision as of 14:08, 12 December 2025
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	* [https://soundcloud.com/jdfreivald/a-seed-planted-starling-pure ''A Seed Planted''] (2013) – the melody depends on tempering out 126/125.		* [https://soundcloud.com/jdfreivald/a-seed-planted-starling-pure ''A Seed Planted''] (2013) – the melody depends on tempering out 126/125.

	== ~~Notes~~ ==		== References ==

	[[Category:Starling\| ]] <!-- main article -->		[[Category:Starling\| ]] <!-- main article -->

FloraC: + basic norm-based tunings

2025-12-12T14:07:56Z

+ basic norm-based tunings

@@ Line 70: / Line 70: @@
 * [[Starling chromatic]]
 * [[Starling wholetone]]
 == Music ==

FloraC: /* Chords */ -> chords and harmony

2025-12-12T13:51:35Z

Chords: -> chords and harmony

← Older revision		Revision as of 13:51, 12 December 2025
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	Alternatively, it can be notated the same as full prime-limit just intonation, with a distinct accidental pair for each prime. That makes some intervals more intuitive, at the cost of hiding the structure of starling/thrush tempering. For example, it is customary of the 5/4 to be a major third, and 7/4 to be a minor seventh. As a result, the fact that the 12/7 is a stack of three 6/5's is not revealed, and the related chords can be less convenient.		Alternatively, it can be notated the same as full prime-limit just intonation, with a distinct accidental pair for each prime. That makes some intervals more intuitive, at the cost of hiding the structure of starling/thrush tempering. For example, it is customary of the 5/4 to be a major third, and 7/4 to be a minor seventh. As a result, the fact that the 12/7 is a stack of three 6/5's is not revealed, and the related chords can be less convenient.

	== Chords ==		== Chords and harmony ==
	Starling/thrush enables [[essentially tempered chord]]s of [[Starling chords\|starling]], [[Valinorsmic chords\|valinorsmic]], [[Werckismic chords\|werckismic]], and [[Thrush chords\|thrush]]. Extending the temperament to the 13-limit enables chords of [[Mynucumic chords\|mynucumic]], [[Ratwolfsmic chords\|ratwolfsmic]] and [[Minthmic chords\|minthmic]].		Starling/thrush enables [[essentially tempered chord]]s of [[Starling chords\|starling]], [[Valinorsmic chords\|valinorsmic]], [[Werckismic chords\|werckismic]], and [[Thrush chords\|thrush]]. Extending the temperament to the 13-limit enables chords of [[Mynucumic chords\|mynucumic]], [[Ratwolfsmic chords\|ratwolfsmic]] and [[Minthmic chords\|minthmic]].

	== Scales ==		== Scales ==

FloraC: Move some harmony-related contents here

2025-12-12T13:41:49Z

Move some harmony-related contents here

← Older revision		Revision as of 13:41, 12 December 2025
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	'''Starling''' is a [[rank-3 temperament\|rank-3]] [[regular temperament\|temperament]] with the same [[lattice]] structure as 5-limit JI, while identifying the [[7/4\|harmonic seventh (7/4)]] as a stack of a [[3/2\|perfect fifth (3/2)]] and three [[5/3\|classical major sixths (5/3)]] octave-reduced, [[tempering out]] [[126/125]]. It is the head of the [[starling family]], and ~~its~~ best [[11-limit]] [[extension]], '''thrush''', adding [[176/175]] and [[441/440]] to the comma list, makes it a member of both [[valinorsmic clan]] and [[werckismic temperaments]]. It also has an obvious [[13-limit]] extension tempering out [[196/195]], [[351/350]], and [[352/351]].		'''Starling''' is a [[rank-3 temperament\|rank-3]] [[regular temperament\|temperament]] with the same [[lattice]] structure as 5-limit JI, while identifying the [[7/4\|harmonic seventh (7/4)]] as a stack of a [[3/2\|perfect fifth (3/2)]] and three [[5/3\|classical major sixths (5/3)]] octave-reduced, [[tempering out]] [[126/125]]. It is the head of the [[starling family]].

			In starling, classical minor thirds and major sixths are low-complexity intervals. A suitable 5-limit scale to temper via starling will be one where there are chains of minor thirds. Starling has a 6/5, 6/5, 6/5, 7/6 version of the [[diminished seventh chord]], which is very characteristic of it. Since this is a chord of [[meantone]] in wide use in Western {{w\|common practice}} harmony long before [[12edo]] established itself as the standard tuning, it is arguably more authentic to tune it as three stacked minor thirds and an augmented second, which is what it is in meantone, than as the modern version of four stacked very flat minor thirds.

			Starling's best [[11-limit]] [[extension]], '''thrush''', adding [[176/175]] and [[441/440]] to the comma list, makes it a member of both [[valinorsmic clan]] and [[werckismic temperaments]]. It also has an obvious [[13-limit]] extension tempering out [[196/195]], [[351/350]], and [[352/351]].

	Starling was named by [[Herman Miller]] in 1999<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_6385.html Yahoo! Tuning Group \| ''Meantone and "starling" scale with slightly stretched octaves'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3732.html Yahoo! Tuning Group \| ''Starling temperament mapping'']</ref>, and thrush was named by [[Gene Ward Smith]] in 2004<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8625.html Yahoo! Tuning Group \| ''11-limit Starling'']</ref>.		Starling was named by [[Herman Miller]] in 1999<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_6385.html Yahoo! Tuning Group \| ''Meantone and "starling" scale with slightly stretched octaves'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3732.html Yahoo! Tuning Group \| ''Starling temperament mapping'']</ref>, and thrush was named by [[Gene Ward Smith]] in 2004<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8625.html Yahoo! Tuning Group \| ''11-limit Starling'']</ref>.

FloraC: - parent category

2025-04-29T09:54:40Z

- parent category

← Older revision		Revision as of 09:54, 29 April 2025
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	== Notes ==		== Notes ==

	~~[[Category:Temperaments]]~~
	[[Category:Starling\| ]] <!-- main article -->		[[Category:Starling\| ]] <!-- main article -->
	[[Category:Thrush\| ]] <!-- main article -->		[[Category:Thrush\| ]] <!-- main article -->

Lériendil at 00:01, 20 April 2025

2025-04-20T00:01:48Z

← Older revision		Revision as of 00:01, 20 April 2025
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	[[Category:Starling\| ]] <!-- main article -->		[[Category:Starling\| ]] <!-- main article -->
	[[Category:Thrush\| ]] <!-- main article -->		[[Category:Thrush\| ]] <!-- main article -->
			[[Category:Rank-3 temperaments]]
	[[Category:Starling family]]		[[Category:Starling family]]
	[[Category:Valinorsmic clan]]		[[Category:Valinorsmic clan]]
	[[Category:Werckismic temperaments]]		[[Category:Werckismic temperaments]]

FloraC: Improve intro

2025-02-13T05:53:31Z

Improve intro

← Older revision		Revision as of 05:53, 13 February 2025
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	'''Starling''' is ~~the~~ [[~~Rank~~-3 temperament\|rank-3]] [[temperament]] [[tempering out]] [[126/125]], the starling ~~comma. Its~~ best 11-limit [[extension]], '''thrush''', ~~adds~~ [[176/175]] and [[441/440]] to the comma list. It also has an obvious 13-limit extension tempering out [[196/195]], [[351/350]], and [[352/351]].		'''Starling''' is a [[rank-3 temperament\|rank-3]] [[regular temperament\|temperament]] with the same [[lattice]] structure as 5-limit JI, while identifying the [[7/4\|harmonic seventh (7/4)]] as a stack of a [[3/2\|perfect fifth (3/2)]] and three [[5/3\|classical major sixths (5/3)]] octave-reduced, [[tempering out]] [[126/125]]. It is the head of the [[starling family]], and its best [[11-limit]] [[extension]], '''thrush''', adding [[176/175]] and [[441/440]] to the comma list, makes it a member of both [[valinorsmic clan]] and [[werckismic temperaments]]. It also has an obvious [[13-limit]] extension tempering out [[196/195]], [[351/350]], and [[352/351]].

	Starling was named by [[Herman Miller]] in 1999<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_6385.html Yahoo! Tuning Group \| ''Meantone and "starling" scale with slightly stretched octaves'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3732.html Yahoo! Tuning Group \| ''Starling temperament mapping'']</ref>, and thrush was named by [[Gene Ward Smith]] in 2004<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8625.html Yahoo! Tuning Group \| ''11-limit Starling'']</ref>.		Starling was named by [[Herman Miller]] in 1999<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_6385.html Yahoo! Tuning Group \| ''Meantone and "starling" scale with slightly stretched octaves'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3732.html Yahoo! Tuning Group \| ''Starling temperament mapping'']</ref>, and thrush was named by [[Gene Ward Smith]] in 2004<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8625.html Yahoo! Tuning Group \| ''11-limit Starling'']</ref>.

BudjarnLambeth: /* Other scales */

2024-10-20T07:57:00Z

Other scales

← Older revision		Revision as of 07:57, 20 October 2024
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	* [[Thrush15]]		* [[Thrush15]]

	== Other scales ==		=== Other scales ===
	* [[Starling diatonic]]		* [[Starling diatonic]]
	* [[Starling chromatic]]		* [[Starling chromatic]]