Extra-Diatonic Intervals - Revision history

BudjarnLambeth: Added links to dead end pg

2024-01-09T05:30:39Z

Added links to dead end pg

← Older revision		Revision as of 05:30, 9 January 2024
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	When learning about and discussing xenharmonic ~~intervals~~, there is not a single agreed-upon terminology. One approach is to describe intervals as being subtle alterations of conventional diatonic interval categories, by adding additional qualifying adjectives to traditional interval names. The origins of this approach are seemingly apocryphal, but its use is somewhat ubiquitous in online xenharmonic communities. This page is an attempt at a glossary of the most common of these extra-diatonic interval terms. It should be stated that these terms are qualitative, not quantitative, and no attempt will be made to definitively associate these interval terms to specific tunings or ranges of tunings. The terms should be interpreted as referring to perceptual qualities that are necessarily subjective and flexible, meant to describe an individual listener's perception, rather than a specific interval size.		When learning about and discussing xenharmonic [[interval]]s, there is not a single agreed-upon terminology. One approach is to describe intervals as being subtle alterations of conventional [[diatonic]] interval categories, by adding additional qualifying adjectives to traditional interval names. The origins of this approach are seemingly apocryphal, but its use is somewhat ubiquitous in online xenharmonic communities. This page is an attempt at a glossary of the most common of these extra-diatonic interval terms. It should be stated that these terms are qualitative, not quantitative, and no attempt will be made to definitively associate these interval terms to specific tunings or ranges of tunings. The terms should be interpreted as referring to perceptual qualities that are necessarily subjective and flexible, meant to describe an individual listener's perception, rather than a specific interval size.

	== Primary Diatonic Intervals ==		== Primary Diatonic Intervals ==

Fredg999 category edits: Moving from Category:Naming to Category:Interval naming using Cat-a-lot

2023-05-29T04:21:33Z

Moving from Category:Naming to Category:Interval naming using Cat-a-lot

← Older revision		Revision as of 04:21, 29 May 2023
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	[[Category:Lists of intervals]]		[[Category:Lists of intervals]]
	[[Category:Diatonic]]		[[Category:Diatonic]]
	[[Category:~~Naming~~]]		[[Category:Interval naming]]

BudjarnLambeth: Categorised this uncategorised page

2023-04-26T01:13:03Z

Categorised this uncategorised page

← Older revision		Revision as of 01:13, 26 April 2023
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	\|Like an octave that has been obviously detuned in the flat direction, but not far enough so as to sound like a type of 7th. Typically noticeably discordant.		\|Like an octave that has been obviously detuned in the flat direction, but not far enough so as to sound like a type of 7th. Typically noticeably discordant.
	\|}		\|}
			[[Category:Lists of intervals]]
			[[Category:Diatonic]]
			[[Category:Naming]]

PiotrGrochowski: Extra-Diatonic Intervals notation is capitalized and numbered

2018-10-01T16:50:32Z

Extra-Diatonic Intervals notation is capitalized and numbered

← Older revision		Revision as of 16:50, 1 October 2018
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	!12edo Cents Value		!12edo Cents Value
	\|-		\|-
	\|~~unison~~		\|Unison
	\|0		\|0
	\|-		\|-
	\|~~minor second~~		\|Minor 2nd
	\|100		\|100
	\|-		\|-
	\|~~major second~~		\|Major 2nd
	\|200		\|200
	\|-		\|-
	\|~~minor third~~		\|Minor 3rd
	\|300		\|300
	\|-		\|-
	\|~~major third~~		\|Major 3rd
	\|400		\|400
	\|-		\|-
	\|~~fourth~~		\|Perfect 4th
	\|500		\|500
	\|-		\|-
	\|~~tritone~~		\|Tritone
	\|600		\|600
	\|-		\|-
	\|~~fifth~~		\|Perfect 5th
	\|700		\|700
	\|-		\|-
	\|~~minor sixth~~		\|Minor 6th
	\|800		\|800
	\|-		\|-
	\|~~major sixth~~		\|Major 6th
	\|900		\|900
	\|-		\|-
	\|~~minor seventh~~		\|Minor 7th
	\|1000		\|1000
	\|-		\|-
	\|~~major seventh~~		\|Major 7th
	\|1100		\|1100
	\|-		\|-
	\|~~octave~~		\|Octave
	\|1200		\|1200
	\|}		\|}

Gareth.hearne: Undo revision 33857 by PiotrGrochowski (talk) The purpose of this page is to put forward the simplest and most familiar interval names dependent on size and not function.

2018-10-01T04:43:23Z

Undo revision 33857 by PiotrGrochowski (talk) The purpose of this page is to put forward the simplest and most familiar interval names dependent on size and not function.

← Older revision		Revision as of 04:43, 1 October 2018
Line 10:		Line 10:
	\|0		\|0
	\|-		\|-
	\|~~augmented unison,~~ minor second		\|minor second
	\|100		\|100
	\|-		\|-
Line 16:		Line 16:
	\|200		\|200
	\|-		\|-
	\|~~augmented second,~~ minor third		\|minor third
	\|300		\|300
	\|-		\|-
Line 25:		Line 25:
	\|500		\|500
	\|-		\|-
	\|~~augmented fourth~~		\|tritone
	\|600		\|600
	\|-		\|-
Line 31:		Line 31:
	\|700		\|700
	\|-		\|-
	\|~~augmented fifth,~~ minor sixth		\|minor sixth
	\|800		\|800
	\|-		\|-

PiotrGrochowski: /* Primary Diatonic Intervals */ 12edo is not 19edo, so there are ambiguous intervals

2018-09-29T05:41:36Z

Primary Diatonic Intervals: 12edo is not 19edo, so there are ambiguous intervals

← Older revision		Revision as of 05:41, 29 September 2018
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	!12edo Cents Value		!12edo Cents Value
	\|-		\|-
	\|~~Unison~~		\|unison
	\|0		\|0
	\|-		\|-
	\|~~Minor 2nd~~		\|augmented unison, minor second
	\|100		\|100
	\|-		\|-
	\|~~Major 2nd~~		\|major second
	\|200		\|200
	\|-		\|-
	\|~~Minor 3rd~~		\|augmented second, minor third
	\|300		\|300
	\|-		\|-
	\|~~Major 3rd~~		\|major third
	\|400		\|400
	\|-		\|-
	\|~~Perfect 4th~~		\|fourth
	\|500		\|500
	\|-		\|-
	\|~~Tritone~~		\|augmented fourth
	\|600		\|600
	\|-		\|-
	\|~~Perfect 5th~~		\|fifth
	\|700		\|700
	\|-		\|-
	\|~~Minor 6th~~		\|augmented fifth, minor sixth
	\|800		\|800
	\|-		\|-
	\|~~Major 6th~~		\|major sixth
	\|900		\|900
	\|-		\|-
	\|~~Minor 7th~~		\|minor seventh
	\|1000		\|1000
	\|-		\|-
	\|~~Major 7th~~		\|major seventh
	\|1100		\|1100
	\|-		\|-
	\|~~Octave~~		\|octave
	\|1200		\|1200
	\|}		\|}

Igliashon: Eliminated cents ranges and ratios. Split table into primary, secondary, and tertiary categories.

2018-09-27T05:59:51Z

Eliminated cents ranges and ratios. Split table into primary, secondary, and tertiary categories.

Show changes

Cam Taylor: Added supraminor and submajor 2nds and 7ths to complete the list of intervals, changed around just a couple of ratios so as to not show too much overlap

2018-09-26T10:05:30Z

Added supraminor and submajor 2nds and 7ths to complete the list of intervals, changed around just a couple of ratios so as to not show too much overlap

← Older revision		Revision as of 10:05, 26 September 2018
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	\|50¢ to 83¢		\|50¢ to 83¢
	\|25/24, 21/20, 22/21, 33/32		\|25/24, 21/20, 22/21, 33/32
			\|-
			\|Supraminor 2nd
			\|A noticeably sharper version of a minor 2nd. Heavily overlaps with the minor 2nd and neutral 2nd category and may be subsumed by them in some contexts. Can include 16/15 in contexts where we might expect smaller minor 2nds.
			\|117¢ to 133¢
			\|14/13, 15/14, 16/15, 27/25
	\|-		\|-
	\|Neutral 2nd		\|Neutral 2nd
	\|An ambiguous interval that is between a minor 2nd and a major 2nd, which may sometimes be mistaken for a sharp minor 2nd or a flat major 2nd.		\|An ambiguous interval that is between a minor 2nd and a major 2nd, which may sometimes be mistaken for a sharp minor 2nd or a flat major 2nd.
	\|133¢ to 167¢		\|133¢ to 167¢
	\|11/10, 12/11, 13/12, 14/13		\|11/10, 12/11, 13/12
			\|-
			\|Submajor 2nd
			\|A noticeably flatter version of a major 2nd. Heavily overlaps with the major 2nd and neutral 2nd categories and may be subsumed by them in some contexts. Can include the classic 10/9 major 2nd in contexts where we might expect a larger major 2nd.
			\|167¢ to 183¢
			\|10/9, 11/10
	\|-		\|-
	\|Supermajor 2nd		\|Supermajor 2nd
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	\|950¢ to 983¢		\|950¢ to 983¢
	\|7/4, 26/15		\|7/4, 26/15
			\|-
			\|Supraminor 7th
			\|A noticeably sharper version of a minor 7th. Heavily overlaps with the minor 7th and neutral 7th categories and may be subsumed by either of them in some contexts. Can include the classic 5-limit minor 7th for some listeners accustomed to 12edo's flat minor 7ths.
			\|1017¢ to 1033¢
			\|9/5, 20/11
	\|-		\|-
	\|Neutral 7th		\|Neutral 7th
	\|An ambiguous interval that is between a minor 7th and a major 7th, which may sometimes be mistaken for a sharp minor 7th or a flat major 7th.		\|An ambiguous interval that is between a minor 7th and a major 7th, which may sometimes be mistaken for a sharp minor 7th or a flat major 7th.
	\|1033¢ to 1067¢		\|1033¢ to 1067¢
	\|11/6, 13/7, 20/11, 24/13		\|11/6, 24/13
			\|-
			\|Submajor 7th
			\|A noticeably flatter version of a major 7th. Heavily overlaps with the major 7th and neutral 7th categories and may be subsumed by them in some contexts. Can include the classic 5-limit major 7th for some listeners accustomed to 12edo's sharp major 7ths.
			\|1067¢ to 1083¢
			\|13/7, 15/8, 28/15
	\|-		\|-
	\|Supermajor 7th		\|Supermajor 7th

Igliashon: /* The Intervals and their Qualities */

2018-09-25T23:26:19Z

The Intervals and their Qualities

← Older revision		Revision as of 23:26, 25 September 2018
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	\|-		\|-
	\|Super 4th		\|Super 4th
	\|Like a perfect 4th that has been noticeably detuned in the sharp direction, but not far enough so as to sound like a type of tritone.		\|Like a perfect 4th that has been noticeably detuned in the sharp direction, but not far enough so as to sound like a type of tritone. However, there is heavy overlap between this category and the surrounding categories of perfect 4th and Narrow Tritone, and this category may be subsumed by them in some contexts.
	\|517¢ to 550¢		\|517¢ to 550¢
	\|15/11, 27/20		\|15/11, 27/20
Line 75:		Line 75:
	\|-		\|-
	\|Sub 5th		\|Sub 5th
	\|Like a perfect 5th that has been noticeably detuned in the flat direction, but not far enough so as to sound like a type of tritone.		\|Like a perfect 5th that has been noticeably detuned in the flat direction, but not far enough so as to sound like a type of tritone. However, there is heavy overlap between this category and the surrounding categories of perfect 5th and Wide Tritone, and this category may be subsumed by them in some contexts.
	\|650¢ to 683¢		\|650¢ to 683¢
	\|22/15, 40/27		\|22/15, 40/27

Igliashon: Added supraminor and submajor categories, fixed typo

2018-09-25T23:21:19Z

Added supraminor and submajor categories, fixed typo

← Older revision		Revision as of 23:21, 25 September 2018
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	\|250¢ to 283¢		\|250¢ to 283¢
	\|7/6, 13/11		\|7/6, 13/11
			\|-
			\|Supraminor 3rd
			\|A noticeably sharper version of a minor 3rd. Heavily overlaps with the minor 3rd and neutral 3rd category and may be subsumed by them in some contexts. Can include the classic 5-limit minor 3rd for some listeners accustomed to 12edo's flat minor 3rds.
			\|317¢ to 333¢
			\|6/5, 17/14
	\|-		\|-
	\|Neutral 3rd		\|Neutral 3rd
	\|An ambiguous interval that is between a minor 3rd and a major 3rd, which may sometimes be mistaken for a flat major 3rd or a sharp minor 3rd.		\|An ambiguous interval that is between a minor 3rd and a major 3rd, which may sometimes be mistaken for a flat major 3rd or a sharp minor 3rd.
	\|333¢ to ~~366¢~~		\|333¢ to 367¢
	\|11/9, 16/13, 39/32		\|11/9, 16/13, 39/32
			\|-
			\|Submajor 3rd
			\|A noticeably flatter version of a major 3rd. Heavily overlaps with the major 3rd and neutral 3rd categories and may be subsumed by them in some contexts. Can include the classic 5-limit major 3rd for some listeners accustomed to 12edo's sharp major 3rds.
			\|367¢ to 383¢
			\|26/21, 21/17, 5/4
	\|-		\|-
	\|Supermajor 3rd		\|Supermajor 3rd
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	\|Super 4th		\|Super 4th
	\|Like a perfect 4th that has been noticeably detuned in the sharp direction, but not far enough so as to sound like a type of tritone.		\|Like a perfect 4th that has been noticeably detuned in the sharp direction, but not far enough so as to sound like a type of tritone.
	\|517¢ to ~~533¢~~		\|517¢ to 550¢
	\|15/11, 27/20		\|15/11, 27/20
	\|-		\|-
	\|Narrow Tritone		\|Narrow Tritone
	\|Too sharp and discordant to be mistaken for a mistuned perfect 4th, but still noticeably flat of a traditional 600¢ tritone.		\|Too sharp and discordant to be mistaken for a mistuned perfect 4th, but still noticeably flat of a traditional 600¢ tritone.
	\|533¢ to ~~567¢~~		\|533¢ to 583¢
	\|11/8, 18/13		\|11/8, 18/13
	\|-		\|-
	\|Wide Tritone		\|Wide Tritone
	\|Too flat and discordant to be mistaken for a mistuned perfect 5th, but still noticeably sharp of a traditional 600¢ tritone.		\|Too flat and discordant to be mistaken for a mistuned perfect 5th, but still noticeably sharp of a traditional 600¢ tritone.
	\|~~633¢~~ to 667¢		\|617¢ to 667¢
	\|16/11, 13/9, 23/16		\|16/11, 13/9, 23/16
	\|-		\|-
	\|Sub 5th		\|Sub 5th
	\|Like a perfect 5th that has been noticeably detuned in the flat direction, but not far enough so as to sound like a type of tritone.		\|Like a perfect 5th that has been noticeably detuned in the flat direction, but not far enough so as to sound like a type of tritone.
	\|~~667¢~~ to 683¢		\|650¢ to 683¢
	\|22/15, 40/27		\|22/15, 40/27
	\|-		\|-
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	\|-		\|-
	\|Subminor 6th		\|Subminor 6th
	\|A noticeably flatter and darker version of a minor 6th. May in some cases be mistaken for a very, very sharp type of 5th, but the obvious tonal color the interval provides is usually a ~~start~~ contrast to the stable concordance of a typical perfect fifth. With the exception of the very flat end off the subminor 6th spectrum, intervals in this category are noticeably more concordant than sub-5ths.		\|A noticeably flatter and darker version of a minor 6th. May in some cases be mistaken for a very, very sharp type of 5th, but the obvious tonal color the interval provides is usually a stark contrast to the stable concordance of a typical perfect fifth. With the exception of the very flat end off the subminor 6th spectrum, intervals in this category are noticeably more concordant than sub-5ths.
	\|750¢ to 783¢		\|750¢ to 783¢
	\|20/13, 11/7, 14/9, 25/16		\|20/13, 11/7, 14/9, 25/16
			\|-
			\|Supraminor 6th
			\|A noticeably sharper version of a minor 6th. Heavily overlaps with the minor 6th and neutral 6th categories and may be subsumed by either of them in some contexts. Can include the classic 5-limit minor 6th for some listeners accustomed to 12edo's flat minor 6ths.
			\|817¢ to 833¢
			\|8/5, 21/13
	\|-		\|-
	\|Neutral 6th		\|Neutral 6th
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	\|833¢ to 867¢		\|833¢ to 867¢
	\|18/11, 13/8		\|18/11, 13/8
			\|-
			\|Submajor 6th
			\|A noticeably flatter version of a major 6th. Heavily overlaps with the major 6th and neutral 6th categories and may be subsumed by them in some contexts. Can include the classic 5-limit major 6th for some listeners accustomed to 12edo's sharp major 6ths.
			\|867¢ to 883¢
			\|5/3, 28/17
	\|-		\|-
	\|Supermajor 6th		\|Supermajor 6th