7-limit - Revision history

Lucius Chiaraviglio: /* Modern renderings */ Fix typo

2026-06-06T03:15:34Z

Modern renderings: Fix typo

← Older revision		Revision as of 03:15, 6 June 2026
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	* ''{{w\|Pachelbel's Canon\|Canon in D}}'' (''c''. 1680–1706) – [https://web.archive.org/web/20201127013008/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Pachelbel_s%20Canon%20in%20D%20-%20Relaxing%20music,%20with%20mountain%20views.mp3 play] \| [https://www.youtube.com/watch?v=HzQmaxDIxnc YouTube] – arranged by [[Claudi Meneghin]] (2011)		* ''{{w\|Pachelbel's Canon\|Canon in D}}'' (''c''. 1680–1706) – [https://web.archive.org/web/20201127013008/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Pachelbel_s%20Canon%20in%20D%20-%20Relaxing%20music,%20with%20mountain%20views.mp3 play] \| [https://www.youtube.com/watch?v=HzQmaxDIxnc YouTube] – arranged by [[Claudi Meneghin]] (2011)

	; Traditional (unknown ~~composers~~)		; Traditional (unknown composer)
	* [https://www.youtube.com/shorts/uXxfy6r39hI ''Scarborough Fair''] – arranged by [[Claudi Meneghin]] (2026)		* [https://www.youtube.com/shorts/uXxfy6r39hI ''Scarborough Fair''] – arranged by [[Claudi Meneghin]] (2026)

Lucius Chiaraviglio: /* Modern renderings */ Add traditional tune ''Scarborough Fair''] – arranged by Claudi Meneghin (2026)

2026-06-06T03:15:06Z

Modern renderings: Add traditional tune ''Scarborough Fair''] – arranged by Claudi Meneghin (2026)

← Older revision		Revision as of 03:15, 6 June 2026
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	; {{W\|Johann Pachelbel}}		; {{W\|Johann Pachelbel}}
	* ''{{w\|Pachelbel's Canon\|Canon in D}}'' (''c''. 1680–1706) – [https://web.archive.org/web/20201127013008/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Pachelbel_s%20Canon%20in%20D%20-%20Relaxing%20music,%20with%20mountain%20views.mp3 play] \| [https://www.youtube.com/watch?v=HzQmaxDIxnc YouTube] – arranged by [[Claudi Meneghin]] (2011)		* ''{{w\|Pachelbel's Canon\|Canon in D}}'' (''c''. 1680–1706) – [https://web.archive.org/web/20201127013008/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Pachelbel_s%20Canon%20in%20D%20-%20Relaxing%20music,%20with%20mountain%20views.mp3 play] \| [https://www.youtube.com/watch?v=HzQmaxDIxnc YouTube] – arranged by [[Claudi Meneghin]] (2011)

			; Traditional (unknown composers)
			* [https://www.youtube.com/shorts/uXxfy6r39hI ''Scarborough Fair''] – arranged by [[Claudi Meneghin]] (2026)

	=== 20th century ===		=== 20th century ===

Lucius Chiaraviglio: /* 21st century */ Add Amanda Cole's ''Lumatone Improvisation in 7-limit just intonation tuning with sine tone drone'' (2024)

2026-05-02T20:46:49Z

21st century: Add Amanda Cole's ''Lumatone Improvisation in 7-limit just intonation tuning with sine tone drone'' (2024)

← Older revision		Revision as of 20:46, 2 May 2026
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	; [[Jacob Adler]]		; [[Jacob Adler]]
	* [https://m.youtube.com/watch?v=IUePyH2C9Y0 ''7-Limit Harmony''] (2024)		* [https://m.youtube.com/watch?v=IUePyH2C9Y0 ''7-Limit Harmony''] (2024)

			; [[Amanda Cole]]
			* [https://www.youtube.com/watch?v=3-3aXAtE574 ''Lumatone Improvisation in 7-limit just intonation tuning with sine tone drone''] (2024)

	; [[Ivor Darreg]]		; [[Ivor Darreg]]

BudjarnLambeth: /* 21st century */

2026-04-23T11:55:04Z

21st century

← Older revision		Revision as of 11:55, 23 April 2026
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	; [[Eufalesio]]		; [[Eufalesio]]
	* [https://soundcloud.com/eufalesio/mind-ye-a-worse-comelore?in=eufalesio/sets/microtonal-stuff "Mind Ye A Worse Comelore"] from [https://soundcloud.com/eufalesio/sets/microtonal-stuff ''Microtonal stuff''] (2022)		* [https://soundcloud.com/eufalesio/mind-ye-a-worse-comelore?in=eufalesio/sets/microtonal-stuff ''Mind Ye A Worse Comelore''] from [https://soundcloud.com/eufalesio/sets/microtonal-stuff ''Microtonal stuff''] (2022)

	; [[Francium]]		; [[Francium]]
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	; [[Kaiveran Lugheidh]]		; [[Kaiveran Lugheidh]]
	* [https://soundcloud.com/vale-10/nostalgic-blue Nostalgic Blue] (2017) – in 2.3.7 subgroup		* [https://soundcloud.com/vale-10/nostalgic-blue ''Nostalgic Blue''] (2017) – in 2.3.7 subgroup

	; [[Melanie Martinez]]		; [[Melanie Martinez]]

BudjarnLambeth: /* 21st century */

2026-04-23T11:52:45Z

21st century

← Older revision		Revision as of 11:52, 23 April 2026
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	; [[Kaiveran Lugheidh]]		; [[Kaiveran Lugheidh]]
	* [https://soundcloud.com/vale-10/nostalgic-blue Nostalgic Blue] (2017) – in 2.3.7 subgroup		* [https://soundcloud.com/vale-10/nostalgic-blue Nostalgic Blue] (2017) – in 2.3.7 subgroup

			; [[Melanie Martinez]]
			* [https://m.youtube.com/watch?v=OKBB1VufWCg ''Training Wheels''] (2015)

	; [[Nick, The NRG]]		; [[Nick, The NRG]]

FloraC: Consistency with other pages. Style. - irrelevant link

2026-04-19T10:17:41Z

Consistency with other pages. Style. - irrelevant link

← Older revision		Revision as of 10:17, 19 April 2026
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	{{Prime limit navigation\|7}}		{{Prime limit navigation\|7}}
	{{Wikipedia\|7-limit tuning}}		{{Wikipedia\|7-limit tuning}}
	The '''7-limit''' (~~AKA~~ ''yaza'' in [[color notation]]) ~~or 7-prime-limit~~ consists of [[just intonation\|rational intervals]] where 7 is the highest allowable [[prime]] factor, so that every such interval may be written as a [[ratio]] of integers which are products of 2, 3, 5 and 7. The 7-limit is the fourth prime limit and is a superset of the [[5-limit]] and a subset of the [[11-limit]]. Some examples of 7-limit intervals include [[7/4]], [[7/5]], [[7/6]], [[9/7]], [[15/14]], [[21/16]], [[21/20]], [[35/27]], [[49/36]], and so on.		The '''7-limit''' (a.k.a. ''yaza'' in [[color notation]]) consists of [[just intonation\|rational intervals]] where 7 is the highest allowable [[prime]] factor, so that every such interval may be written as a [[ratio]] of integers which are products of 2, 3, 5 and 7. The 7-limit is the fourth prime limit and is a superset of the [[5-limit]] and a subset of the [[11-limit]]. Some examples of 7-limit intervals include [[7/4]], [[7/5]], [[7/6]], [[9/7]], [[15/14]], [[21/16]], [[21/20]], [[35/27]], [[49/36]], and so on.

	These things are contained by the 7-limit, but not the 5-limit:		These things are contained by the 7-limit, but not the 5-limit:
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	The 7-odd-limit is a constraint on the selection of just intervals for a scale or composition such that 7 is the highest allowable odd number, either for the intervals of the scale, or the ratios between successive or simultaneously sounding notes of the composition. The complete list of 7 odd-limit intervals within the octave is [[1/1]], [[8/7]], [[7/6]], [[6/5]], [[5/4]], [[4/3]], [[7/5]], [[10/7]], [[3/2]], [[8/5]], [[5/3]], [[12/7]], [[7/4]], [[2/1]], which is known as the 7-odd-limit [[tonality diamond]].		The 7-odd-limit is a constraint on the selection of just intervals for a scale or composition such that 7 is the highest allowable odd number, either for the intervals of the scale, or the ratios between successive or simultaneously sounding notes of the composition. The complete list of 7 odd-limit intervals within the octave is [[1/1]], [[8/7]], [[7/6]], [[6/5]], [[5/4]], [[4/3]], [[7/5]], [[10/7]], [[3/2]], [[8/5]], [[5/3]], [[12/7]], [[7/4]], [[2/1]], which is known as the 7-odd-limit [[tonality diamond]].

	The phrase "7-limit just intonation" usually refers to the 7-prime-limit and includes primes 2, 3, 5, and 7. When octave equivalence is assumed, an interval can be taken as representing that interval in every possible voicing. This leaves primes 3, 5, and 7, which can be represented in [[~~The Seven Limit Symmetrical Lattices~~\|3-dimensional lattice diagrams]], each prime represented by a different dimension. Lattices describing scales beyond the 7-limit require more than three dimensions, and in the 7-limit, such lattices have unique features which simplify the relations between 7-limit chords.		The phrase "7-limit just intonation" usually refers to the 7-prime-limit and includes primes 2, 3, 5, and 7. When octave equivalence is assumed, an interval can be taken as representing that interval in every possible voicing. This leaves primes 3, 5, and 7, which can be represented in [[7-limit symmetrical lattices\|3-dimensional lattice diagrams]], each prime represented by a different dimension. Lattices describing scales beyond the 7-limit require more than three dimensions, and in the 7-limit, such lattices have unique features which simplify the relations between 7-limit chords.

	For a variety of reasons, common-practice music has been somewhat stuck at the 5-limit for centuries, though 7-limit intervals have a characteristic jazzy sound which is at least partially familiar. Music in the 7-limit thus represents a large step forward, although not as much as 11- or [[13-limit]], which usually sound much more exotic.		For a variety of reasons, common-practice music has been somewhat stuck at the 5-limit for centuries, though 7-limit intervals have a characteristic jazzy sound which is at least partially familiar. Music in the 7-limit thus represents a large step forward, although not as much as 11- or [[13-limit]], which usually sound much more exotic.
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	; [[Randy Wells]]		; [[Randy Wells]]
	* [https://www.youtube.com/watch?v=rTvMMwkH2Z8 ''The Antidote for Entropy''] (2022)		* [https://www.youtube.com/watch?v=rTvMMwkH2Z8 ''The Antidote for Entropy''] (2022)

	~~== See also ==~~
	* [[Wikipedia: Highly composite number]]

	[[Category:7-limit\| ]] <!-- main page -->		[[Category:7-limit\| ]] <!-- main page -->

Eufalesio: color notation

2026-04-19T09:46:51Z

color notation

← Older revision		Revision as of 09:46, 19 April 2026
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	{{Prime limit navigation\|7}}		{{Prime limit navigation\|7}}
	{{Wikipedia\|7-limit tuning}}		{{Wikipedia\|7-limit tuning}}
	The '''7-limit''' or 7-prime-limit consists of [[just intonation\|rational intervals]] where 7 is the highest allowable [[prime]] factor, so that every such interval may be written as a [[ratio]] of integers which are products of 2, 3, 5 and 7. The 7-limit is the fourth prime limit and is a superset of the [[5-limit]] and a subset of the [[11-limit]]. Some examples of 7-limit intervals include [[7/4]], [[7/5]], [[7/6]], [[9/7]], [[15/14]], [[21/16]], [[21/20]], [[35/27]], [[49/36]], and so on.		The '''7-limit''' (AKA ''yaza'' in [[color notation]]) or 7-prime-limit consists of [[just intonation\|rational intervals]] where 7 is the highest allowable [[prime]] factor, so that every such interval may be written as a [[ratio]] of integers which are products of 2, 3, 5 and 7. The 7-limit is the fourth prime limit and is a superset of the [[5-limit]] and a subset of the [[11-limit]]. Some examples of 7-limit intervals include [[7/4]], [[7/5]], [[7/6]], [[9/7]], [[15/14]], [[21/16]], [[21/20]], [[35/27]], [[49/36]], and so on.

	These things are contained by the 7-limit, but not the 5-limit:		These things are contained by the 7-limit, but not the 5-limit:

FloraC: Recategorize

2026-02-06T08:23:50Z

Recategorize

← Older revision		Revision as of 08:23, 6 February 2026
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	[[Category:7-limit\| ]] <!-- main page -->		[[Category:7-limit\| ]] <!-- main page -->
			[[Category:Rank-4 temperaments]]
	[[Category:Lists of intervals]]		[[Category:Lists of intervals]]
	[[Category:Lattice]]		[[Category:Lattice]]
	[[Category:Listen]]		[[Category:Listen]]
	~~[[Category:Rank 4]]~~

FloraC: /* Music */ +1

2026-01-23T12:29:23Z

Music: +1

← Older revision		Revision as of 12:29, 23 January 2026
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	; [[E8 Heterotic]]		; [[E8 Heterotic]]
	* [https://~~youtu~~.be/~~mecOmJbqbxU~~?si=~~ILByj2hvPIMKRjJT~~ ''Justicar''] (2020)		* [https://www.youtube.com/watch?v=mecOmJbqbxU ''Justicar''] (2020)

			; [[Eufalesio]]
			* [https://soundcloud.com/eufalesio/mind-ye-a-worse-comelore?in=eufalesio/sets/microtonal-stuff "Mind Ye A Worse Comelore"] from [https://soundcloud.com/eufalesio/sets/microtonal-stuff ''Microtonal stuff''] (2022)

	; [[Francium]]		; [[Francium]]

Squib: /* Intervals */fixed 49/48 monzo

2026-01-13T01:27:36Z

Intervals: fixed 49/48 monzo

← Older revision		Revision as of 01:27, 13 January 2026
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	\|-		\|-
	\| 49/48		\| 49/48
	\| {{Monzo\| 1 0 ~~2 -~~2 }}		\| {{Monzo\| -4 -1 0 2 }}
	\| 35.697		\| 35.697
	\| zz2		\| zz2