Minor seventh - Revision history

BudjarnLambeth: Add link to orphan page

2025-04-20T11:05:51Z

Add link to orphan page

← Older revision		Revision as of 11:05, 20 April 2025
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	* The 5-limit '''ptolemaic minor seventh''' is a ratio of [[9/5]], however in 5-limit harmony it is used alongside 16/9. It is about 1018{{c}}.		* The 5-limit '''ptolemaic minor seventh''' is a ratio of [[9/5]], however in 5-limit harmony it is used alongside 16/9. It is about 1018{{c}}.
	* The 7-limit '''(septimal) subminor seventh''', '''harmonic seventh''', or '''overtone seventh''' is a ratio of [[7/4]], and is about 969{{c}}.		* The 7-limit '''(septimal) subminor seventh''', '''harmonic seventh''', or '''overtone seventh''' is a ratio of [[7/4]], and is about 969{{c}}.

			The mean of 16/9, 9/5 and 7/4 is [[959/540]].

	{{Navbox intervals}}		{{Navbox intervals}}

VectorGraphics at 04:59, 7 March 2025

2025-03-07T04:59:49Z

← Older revision		Revision as of 04:59, 7 March 2025
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	As a concrete [[interval region]], it is typically near 1000{{c}} in size, distinct from the [[major seventh]] of roughly 1100{{c}} and the [[neutral seventh]] of roughly 1050{{c}}. A rough tuning range for the minor seventh is about 960 to 1025{{c}} according to [[Margo Schulter]]'s theory of interval regions.		As a concrete [[interval region]], it is typically near 1000{{c}} in size, distinct from the [[major seventh]] of roughly 1100{{c}} and the [[neutral seventh]] of roughly 1050{{c}}. A rough tuning range for the minor seventh is about 960 to 1025{{c}} according to [[Margo Schulter]]'s theory of interval regions.

			This article covers intervals between 940 and 1040 cents. The outer range of this might be too extreme to call "minor sevenths", but this is done so that one can find what they're looking for easily.

	== In just intonation ==		== In just intonation ==

Jerdle: Clarified 7/4.

2025-03-06T15:41:25Z

Clarified 7/4.

← Older revision		Revision as of 15:41, 6 March 2025
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	A '''minor seventh (m7)''' is an interval that spans six scale steps in the [[5L 2s\|diatonic]] scale with the minor (narrower) quality. It is generated by stacking 2 fourths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 960 to 1029{{cent}} ([[5edo\|4\5]] to [[7edo\|6\7]]).		A '''minor seventh (m7)''' is an interval that spans six scale steps in the [[5L 2s\|diatonic]] scale with the minor (narrower) quality. It is generated by stacking 2 fourths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 960 to 1029{{cent}} ([[5edo\|4\5]] to [[7edo\|6\7]]).

	In [[just intonation]], an interval may be classified as a minor seventh if it is reasonably mapped to 6\7 and [[24edo\|20\24]] (precisely six steps of the diatonic scale and ten steps of the chromatic scale). The use of 24edo's 20\24 as the mapping criteria here rather than [[12edo]]'s 10\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]]~~, although it removes [[~~7/4~~]] from~~ the ~~set of minor sevenths~~, ~~at least going by patent vals~~.		In [[just intonation]], an interval may be classified as a minor seventh if it is reasonably mapped to 6\7 and [[24edo\|20\24]] (precisely six steps of the diatonic scale and ten steps of the chromatic scale). The use of 24edo's 20\24 as the mapping criteria here rather than [[12edo]]'s 10\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]]. While the 24edo patent val does not map 7/4 to 20\24, the 24d val does, and that can still be considered a reasonable mapping.

	As a concrete [[interval region]], it is typically near 1000{{c}} in size, distinct from the [[major seventh]] of roughly 1100{{c}} and the [[neutral seventh]] of roughly 1050{{c}}. A rough tuning range for the minor seventh is about 960 to 1025{{c}} according to [[Margo Schulter]]'s theory of interval regions.		As a concrete [[interval region]], it is typically near 1000{{c}} in size, distinct from the [[major seventh]] of roughly 1100{{c}} and the [[neutral seventh]] of roughly 1050{{c}}. A rough tuning range for the minor seventh is about 960 to 1025{{c}} according to [[Margo Schulter]]'s theory of interval regions.

Jerdle at 14:18, 6 March 2025

2025-03-06T14:18:20Z

← Older revision		Revision as of 14:18, 6 March 2025
Line 1:		Line 1:
	A '''minor seventh (m7)''' is an interval that spans six scale steps in the [[5L 2s\|diatonic]] scale with the minor (narrower) quality. It is generated by stacking 2 fourths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 960 to 1029{{cent}} ([[5edo\|4\5]] to [[7edo\|6\7]]).		A '''minor seventh (m7)''' is an interval that spans six scale steps in the [[5L 2s\|diatonic]] scale with the minor (narrower) quality. It is generated by stacking 2 fourths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 960 to 1029{{cent}} ([[5edo\|4\5]] to [[7edo\|6\7]]).

	In [[just intonation]], an interval may be classified as a minor seventh if it is reasonably mapped to 6\7 and [[24edo\|20\24]]. The use of 24edo's 20\24 as the mapping criteria here rather than [[12edo]]'s 10\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]], although it removes [[7/4]] from the set of minor sevenths, at least going by patent vals.		In [[just intonation]], an interval may be classified as a minor seventh if it is reasonably mapped to 6\7 and [[24edo\|20\24]] (precisely six steps of the diatonic scale and ten steps of the chromatic scale). The use of 24edo's 20\24 as the mapping criteria here rather than [[12edo]]'s 10\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]], although it removes [[7/4]] from the set of minor sevenths, at least going by patent vals.

	As a concrete [[interval region]], it is typically near 1000{{c}} in size, distinct from the [[major seventh]] of roughly 1100{{c}} and the [[neutral seventh]] of roughly 1050{{c}}. A rough tuning range for the minor seventh is about 960 to 1025{{c}} according to [[Margo Schulter]]'s theory of interval regions.		As a concrete [[interval region]], it is typically near 1000{{c}} in size, distinct from the [[major seventh]] of roughly 1100{{c}} and the [[neutral seventh]] of roughly 1050{{c}}. A rough tuning range for the minor seventh is about 960 to 1025{{c}} according to [[Margo Schulter]]'s theory of interval regions.

Jerdle: /* By prime limit */These aren't major seconds

2025-03-06T13:56:46Z

By prime limit: These aren't major seconds

← Older revision		Revision as of 13:56, 6 March 2025
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	The Pythagorean ([[3-limit]]) minor seventh is [[16/9]], which is 996{{c}} in size and corresponds to the mos-based interval category of the diatonic minor seventh. It is generated by [[stacking]] two just perfect fourths of [[4/3]].		The Pythagorean ([[3-limit]]) minor seventh is [[16/9]], which is 996{{c}} in size and corresponds to the mos-based interval category of the diatonic minor seventh. It is generated by [[stacking]] two just perfect fourths of [[4/3]].

	Other ~~major seconds~~ exist in higher [[prime limit\|limits]]:		Other minor sevenths exist in higher [[prime limit\|limits]]:

	* The 5-limit '''ptolemaic minor seventh''' is a ratio of [[9/5]], however in 5-limit harmony it is used alongside 16/9. It is about 1018{{c}}.		* The 5-limit '''ptolemaic minor seventh''' is a ratio of [[9/5]], however in 5-limit harmony it is used alongside 16/9. It is about 1018{{c}}.

Jerdle: Added the whole introductory spiel from the other pages.

2025-03-06T13:56:11Z

Added the whole introductory spiel from the other pages.

← Older revision		Revision as of 13:56, 6 March 2025
Line 1:		Line 1:
			A '''minor seventh (m7)''' is an interval that spans six scale steps in the [[5L 2s\|diatonic]] scale with the minor (narrower) quality. It is generated by stacking 2 fourths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 960 to 1029{{cent}} ([[5edo\|4\5]] to [[7edo\|6\7]]).

			In [[just intonation]], an interval may be classified as a minor seventh if it is reasonably mapped to 6\7 and [[24edo\|20\24]]. The use of 24edo's 20\24 as the mapping criteria here rather than [[12edo]]'s 10\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]], although it removes [[7/4]] from the set of minor sevenths, at least going by patent vals.

			As a concrete [[interval region]], it is typically near 1000{{c}} in size, distinct from the [[major seventh]] of roughly 1100{{c}} and the [[neutral seventh]] of roughly 1050{{c}}. A rough tuning range for the minor seventh is about 960 to 1025{{c}} according to [[Margo Schulter]]'s theory of interval regions.

	== In just intonation ==		== In just intonation ==
	=== By prime limit ===		=== By prime limit ===

ArrowHead294: +NavBox

2025-03-05T16:24:36Z

+NavBox

← Older revision		Revision as of 16:24, 5 March 2025
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	* The 5-limit '''ptolemaic minor seventh''' is a ratio of [[9/5]], however in 5-limit harmony it is used alongside 16/9. It is about 1018{{c}}.		* The 5-limit '''ptolemaic minor seventh''' is a ratio of [[9/5]], however in 5-limit harmony it is used alongside 16/9. It is about 1018{{c}}.
	* The 7-limit '''(septimal) subminor seventh''', '''harmonic seventh''', or '''overtone seventh''' is a ratio of [[7/4]], and is about 969{{c}}.		* The 7-limit '''(septimal) subminor seventh''', '''harmonic seventh''', or '''overtone seventh''' is a ratio of [[7/4]], and is about 969{{c}}.

			{{Navbox intervals}}

ArrowHead294: Kick off this page

2025-03-05T16:24:21Z

Kick off this page

New page

== In just intonation ==
=== By prime limit ===
The Pythagorean ([[3-limit]]) minor seventh is [[16/9]], which is 996{{c}} in size and corresponds to the mos-based interval category of the diatonic minor seventh. It is generated by [[stacking]] two just perfect fourths of [[4/3]].

Other major seconds exist in higher [[prime limit|limits]]:

* The 5-limit '''ptolemaic minor seventh''' is a ratio of [[9/5]], however in 5-limit harmony it is used alongside 16/9. It is about 1018{{c}}.
* The 7-limit '''(septimal) subminor seventh''', '''harmonic seventh''', or '''overtone seventh''' is a ratio of [[7/4]], and is about 969{{c}}.