Circulating temperament - Revision history

BudjarnLambeth at 10:04, 20 October 2024

2024-10-20T10:04:03Z

← Older revision		Revision as of 10:04, 20 October 2024
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	#redirect [[Well temperament]]		#redirect [[Well temperament]]
			[[Category:Regular temperament theory]]

Inthar: Redirected page to Well temperament

2021-07-20T16:29:38Z

Redirected page to Well temperament

← Older revision		Revision as of 16:29, 20 July 2021
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	A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval, but which is not an [[equal temperament]]. The targeted (circulating) interval can be a fixed just interval (like a just perfect fifth), or an n-edo interval when the goal is to produce an unequal coloring of n-edo. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.		#redirect [[Well temperament]]

	~~One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.~~

	~~== Types ==~~
	~~A circulating temperament may be classified by method as follows:~~
	* [[Maximal evenness\|Maximally even]] set in a large [[EDO\|edo]] or [[edonoi]]
	* [[Well temperament]]
	* [[Detempering\|Detemperament]]
	* [[Neji]]

	~~== Articles ==~~

	* [http://www.kylegann.com/histune.html An Introduction to Historical Tunings] by [[Kyle Gann]] [http://www.webcitation.org/5xe2pcAue Permalink]
	* [http://lumma.org/tuning/gws/circ.html Circulating Temperaments] by [[Gene Ward Smith]] [http://www.webcitation.org/5xemAJsWE Permalink]
	* [http://www.math.uwaterloo.ca/%7Emrubinst/tuning/tuning.html Well v.s. Equal Temperament] by [[Michael Rubinstein]] [http://www.webcitation.org/5xemm0tvx Permalink]
	* [http://www.piano-tuners.org/edfoote/well_tempered_piano.html Six Degrees Of Tonality: The Well Tempered Piano] by [[Edward Foote]] [http://www.webcitation.org/5xenGg2uG Permalink]
	* [http://www.rollingball.com/images/HT5.htm Five Well Temperaments] [http://www.webcitation.org/5xenqAL9m Permalink]

	~~[[Category:Theory]]~~
	~~[[Category:Scale theory]]~~
	~~[[Category:Circulating temperament\| ]] <!-- main article -->~~

Moremajorthanmajor: /* Types */

2021-05-27T22:07:13Z

Types

← Older revision		Revision as of 22:07, 27 May 2021
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	== Types ==		== Types ==
	A circulating temperament may be classified by method as follows:		A circulating temperament may be classified by method as follows:
	* [[Maximal evenness\|Maximally even]] set in a large [[EDO\|edo]]		* [[Maximal evenness\|Maximally even]] set in a large [[EDO\|edo]] or [[edonoi]]
	* [[Well temperament]]		* [[Well temperament]]
	* [[Detempering\|Detemperament]]		* [[Detempering\|Detemperament]]

Moremajorthanmajor at 21:31, 10 May 2021

2021-05-10T21:31:43Z

← Older revision		Revision as of 21:31, 10 May 2021
Line 5:		Line 5:
	== Types ==		== Types ==
	A circulating temperament may be classified by method as follows:		A circulating temperament may be classified by method as follows:
			* [[Maximal evenness\|Maximally even]] set in a large [[EDO\|edo]]
	* [[Well temperament]]		* [[Well temperament]]
	* [[Detempering\|Detemperament]]		* [[Detempering\|Detemperament]]

Inthar at 07:33, 1 April 2021

2021-04-01T07:33:43Z

← Older revision		Revision as of 07:33, 1 April 2021
Line 1:		Line 1:
	A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval, but which is not an [[equal temperament]]. The ~~targed~~ (circulating) interval can be a fixed just interval (like a just perfect fifth), or an n-edo interval when the goal is to produce an unequal coloring of n-edo. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.		A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval, but which is not an [[equal temperament]]. The targeted (circulating) interval can be a fixed just interval (like a just perfect fifth), or an n-edo interval when the goal is to produce an unequal coloring of n-edo. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.

	One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.		One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.

Inthar at 07:31, 1 April 2021

2021-04-01T07:31:17Z

← Older revision		Revision as of 07:31, 1 April 2021
Line 1:		Line 1:
	A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval, but which is not an [[equal temperament]]. The circulating interval can be ~~viewed as detuned versions of~~ a fixed just interval (like a just perfect fifth), or an n-edo interval when the goal is to produce an unequal coloring of n-edo. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.		A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval, but which is not an [[equal temperament]]. The targed (circulating) interval can be a fixed just interval (like a just perfect fifth), or an n-edo interval when the goal is to produce an unequal coloring of n-edo. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.

	One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.		One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.

Inthar at 07:28, 1 April 2021

2021-04-01T07:28:50Z

← Older revision		Revision as of 07:28, 1 April 2021
Line 1:		Line 1:
	A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval ~~(such~~ as a fixed just interval, or an n-edo interval when the goal is to produce an unequal coloring of n-edo~~), but which is not an [[equal temperament]]~~. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.		A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval, but which is not an [[equal temperament]]. The circulating interval can be viewed as detuned versions of a fixed just interval (like a just perfect fifth), or an n-edo interval when the goal is to produce an unequal coloring of n-edo. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.

	One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.		One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.

Inthar at 07:27, 1 April 2021

2021-04-01T07:27:05Z

← Older revision		Revision as of 07:27, 1 April 2021
Line 1:		Line 1:
	A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval (such as a fixed just interval, or an edo interval), but which is not an [[equal temperament]]. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.		A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval (such as a fixed just interval, or an n-edo interval when the goal is to produce an unequal coloring of n-edo), but which is not an [[equal temperament]]. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.

	One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.		One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.

Inthar at 15:47, 31 March 2021

2021-03-31T15:47:49Z

← Older revision		Revision as of 15:47, 31 March 2021
Line 1:		Line 1:
	A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as forming a circle ~~of "generators"~~ within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval (such as a fixed just interval, or an edo interval), but which is not an [[equal temperament]]. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.		A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval (such as a fixed just interval, or an edo interval), but which is not an [[equal temperament]]. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.

	One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.		One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.

Inthar at 15:46, 31 March 2021

2021-03-31T15:46:37Z

← Older revision		Revision as of 15:46, 31 March 2021
Line 1:		Line 1:
	A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as forming a circle of "generators" within the tuning, hence the name), all of the intervals in the ~~class~~ can be regarded as approximations of some targeted interval (such as a fixed just interval, or an edo interval), but which is not an [[equal temperament]]. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.		A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as forming a circle of "generators" within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval (such as a fixed just interval, or an edo interval), but which is not an [[equal temperament]]. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.

	One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.		One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.