Interval region - Revision history

Sintel: /* Schulter system */ We don't need the table twice

2026-05-20T00:42:14Z

Schulter system: We don't need the table twice

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 == See also ==

BudjarnLambeth: /* See also */

2025-10-05T20:48:45Z

BudjarnLambeth: /* See also */ Divide into 2 sections, add 1 link

2025-10-05T20:47:17Z

See also: Divide into 2 sections, add 1 link

← Older revision		Revision as of 20:47, 5 October 2025
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	== See also ==		== See also ==
			; Interval region naming schemes
	* [[Mike Sheiman's Alternative Interval Categorizations]]		* [[Mike Sheiman's Alternative Interval Categorizations]]
	* [[SKULO interval names]]		* [[SKULO interval names]]
			* [[User:VectorGraphics/Walker brightness notation]]
	* [[5L 2s/Interval categories]]		* [[5L 2s/Interval categories]]

			; Other related concepts
	* [[Supermajor and subminor]]		* [[Supermajor and subminor]]
	* [[Interval size measure]]		* [[Interval size measure]]

Fredg999 category edits: Moving from Category:Interval region to Category:Interval regions using Cat-a-lot

2025-09-03T21:08:30Z

Moving from Category:Interval region to Category:Interval regions using Cat-a-lot

← Older revision		Revision as of 21:08, 3 September 2025
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	* [[Universal solfege]] - [[solfege]] based on the Schulter system		* [[Universal solfege]] - [[solfege]] based on the Schulter system

	[[Category:Interval ~~region~~\| ]] <!-- main article -->		[[Category:Interval regions\| ]]
			<!-- main article -->
	[[Category:Classification]]		[[Category:Classification]]
	[[Category:Distance measure]]		[[Category:Distance measure]]

FloraC: +concrete regions and abstract categories

2025-04-16T15:16:19Z

+concrete regions and abstract categories

← Older revision		Revision as of 15:16, 16 April 2025
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	There are infinite possible intervals (both tempered and just), even within a single octave. It can be helpful to group these intervals into a finite number of '''interval regions''' (or '''interval categories''').		There are infinite possible intervals (both tempered and just), even within a single [[2/1\|octave]]. It can be helpful to group these intervals into a finite number of '''interval regions''' or '''interval categories'''.

			== Concrete regions vs abstract categories ==
			An ''interval region'' usually implies it is concrete, defined by concrete boundaries of interval sizes. The boundaries are usually fuzzy to allow some vagueness, in line with how we perceive them. Which region an interval falls into solely depends on the interval's size.

			An ''interval category'' is usually meant to be abstract. It uses some [[mapping]] to determine which category an interval falls into, short-circuiting the question of where exactly to place the boundaries. It also takes account of an interval's [[prime factorization\|prime components]], allowing us to find a composite interval's category through [[interval arithmetic]].

			The [[5L 2s\|diatonic]] interval category system commonly used to categorize JI intervals consists of a [[interval quality\|quality]] and a diatonic scale degree.

	== Extended-diatonic interval names ==		== Extended-diatonic interval names ==
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	* [[SKULO interval names]]		* [[SKULO interval names]]
	* [[5L 2s/Interval categories]]		* [[5L 2s/Interval categories]]


	* [[Supermajor and subminor]]		* [[Supermajor and subminor]]


	* [[Interval size measure]]		* [[Interval size measure]]
	* [[Table of MOSes]]		* [[Table of MOSes]]

BudjarnLambeth: /* See also */ added link to orphaned page

2025-03-25T00:58:49Z

BudjarnLambeth: /* See also */ added link to orphaned page

2025-03-21T21:45:49Z

TallKite: rewrote first paragraph. /* Schulter system */ grouped subregions by region

2025-03-15T02:22:14Z

rewrote first paragraph. Schulter system: grouped subregions by region

Show changes

VectorGraphics at 00:33, 8 March 2025

2025-03-08T00:33:23Z

← Older revision		Revision as of 00:33, 8 March 2025
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	Many interval naming systems extend the diatonic interval names by adding new [[interval qualities]] to the usual set. While some systems preserve the fifth-based structure entirely, other systems define regions based on the proximity to the intervals associated with the diatonic intervals, which are then divided into finer subregions.		Many interval naming systems extend the diatonic interval names by adding new [[interval qualities]] to the usual set. While some systems preserve the fifth-based structure entirely, other systems define regions based on the proximity to the intervals associated with the diatonic intervals, which are then divided into finer subregions.

	== ~~Mediants~~ ==		== Latitude ==
	When describing interval regions in terms of size relative to a (possibly tempered) fifth, it leads to the system of [[~~Mediant (interval measure)~~\|~~mediants~~]] ~~devised by Vector~~.		When describing interval regions in terms of size relative to a (possibly tempered) fifth, it leads to the system of [[Latitude\|latitude and medial intervals]].

	== Schulter system ==		== Schulter system ==

BudjarnLambeth: /* See also */ added link to orphaned page

2025-03-04T01:57:55Z

← Older revision		Revision as of 20:48, 5 October 2025
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	* [[Mike Sheiman's Alternative Interval Categorizations]]		* [[Mike Sheiman's Alternative Interval Categorizations]]
	* [[SKULO interval names]]		* [[SKULO interval names]]
	* [[User:VectorGraphics/Walker brightness notation]]		* [[User:VectorGraphics/Walker brightness notation\|Walker brightness notation]]
	* [[5L 2s/Interval categories]]		* [[5L 2s/Interval categories]]

← Older revision		Revision as of 00:58, 25 March 2025
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	* [[Interval size measure]]		* [[Interval size measure]]
			* [[Table of MOSes]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Universal solfege]] - [[solfege]] based on the Schulter system		* [[Universal solfege]] - [[solfege]] based on the Schulter system

← Older revision		Revision as of 21:45, 21 March 2025
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	* [[SKULO interval names]]		* [[SKULO interval names]]
	* [[5L 2s/Interval categories]]		* [[5L 2s/Interval categories]]


			* [[Supermajor and subminor]]


	* [[Interval size measure]]		* [[Interval size measure]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

← Older revision		Revision as of 01:57, 4 March 2025
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	* [[Mike Sheiman's Alternative Interval Categorizations]]		* [[Mike Sheiman's Alternative Interval Categorizations]]
	* [[SKULO interval names]]		* [[SKULO interval names]]
			* [[5L 2s/Interval categories]]
	* [[Interval size measure]]		* [[Interval size measure]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]