Diatonic semitone - Revision history

VectorGraphics at 00:44, 30 August 2025

2025-08-30T00:44:34Z

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	{{Infobox\|Title=Diatonic minor second\|Header 1=MOS\|Data 1=[[5L 2s]]\|Header 2=Other names\|Data 2=Minor 1-diastep\|Header 3=Generator span\|Data 3=-5 generators\|Header 4=Tuning range\|Data 4=0-171{{c}}\|Header 5=Basic tuning\|Data 5=100{{c}}\|Header 6=Function on root\|Data 6=Leading tone, supertonic\|Header 7=Interval regions\|Data 7=[[Comma and diesis]], [[Semitone (interval region)\|Semitone]], [[Neutral second]]\|Header 8=Associated just intervals\|Data 8=[[16/15]], [[256/243]]\|Header 9=Octave complement\|Data 9=[[Major seventh (interval region)\|Major seventh]]}}{{Wikipedia\|Semitone #Minor second}}		{{Infobox\|Title=Diatonic minor second\|Header 1=MOS\|Data 1=[[5L 2s]]\|Header 2=Other names\|Data 2=Minor 1-diastep, diatonic semitone, diatone\|Header 3=Generator span\|Data 3=-5 generators\|Header 4=Tuning range\|Data 4=0-171{{c}}\|Header 5=Basic tuning\|Data 5=100{{c}}\|Header 6=Function on root\|Data 6=Leading tone, supertonic\|Header 7=Interval regions\|Data 7=[[Comma and diesis]], [[Semitone (interval region)\|Semitone]], [[Neutral second]]\|Header 8=Associated just intervals\|Data 8=[[16/15]], [[256/243]]\|Header 9=Octave complement\|Data 9=[[Major seventh (interval region)\|Major seventh]]}}{{Wikipedia\|Semitone #Minor second}}
	A '''diatonic semitone''', '''minor second''', or '''limma''' is the small step of a [[diatonic]] scale.		A '''diatonic semitone''', '''minor second''', or '''limma''' is the small step of a [[diatonic]] scale.

VectorGraphics at 00:42, 30 August 2025

2025-08-30T00:42:00Z

← Older revision		Revision as of 00:42, 30 August 2025
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	~~{{Wikipedia\|Semitone #Minor second}}~~		{{Infobox\|Title=Diatonic minor second\|Header 1=MOS\|Data 1=[[5L 2s]]\|Header 2=Other names\|Data 2=Minor 1-diastep\|Header 3=Generator span\|Data 3=-5 generators\|Header 4=Tuning range\|Data 4=0-171{{c}}\|Header 5=Basic tuning\|Data 5=100{{c}}\|Header 6=Function on root\|Data 6=Leading tone, supertonic\|Header 7=Interval regions\|Data 7=[[Comma and diesis]], [[Semitone (interval region)\|Semitone]], [[Neutral second]]\|Header 8=Associated just intervals\|Data 8=[[16/15]], [[256/243]]\|Header 9=Octave complement\|Data 9=[[Major seventh (interval region)\|Major seventh]]}}{{Wikipedia\|Semitone #Minor second}}
	~~A '''diatonic semitone''', '''minor second''', or '''limma''' is the small step of a [[diatonic]] scale.~~{{Infobox\|Title=Diatonic minor second\|Header 1=MOS\|Data 1=[[5L 2s]]\|Header 2=Other names\|Data 2=Minor 1-diastep\|Header 3=Generator span\|Data 3=-5 generators\|Header 4=Tuning range\|Data 4=0-171{{c}}\|Header 5=Basic tuning\|Data 5=100{{c}}\|Header 6=Function on root\|Data 6=Leading tone, supertonic\|Header 7=Interval regions\|Data 7=[[Comma and diesis]], [[Semitone (interval region)\|Semitone]], [[Neutral second]]\|Header 8=Associated just intervals\|Data 8=[[16/15]], [[256/243]]\|Header 9=Octave complement\|Data 9=[[Major seventh (interval region)\|Major seventh]]}}In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]].		A '''diatonic semitone''', '''minor second''', or '''limma''' is the small step of a [[diatonic]] scale.

			In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]].

	== Examples ==		== Examples ==

VectorGraphics at 00:41, 30 August 2025

2025-08-30T00:41:50Z

← Older revision		Revision as of 00:41, 30 August 2025
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	{{Wikipedia\|Semitone #Minor second}}		{{Wikipedia\|Semitone #Minor second}}
	A '''diatonic semitone''', '''minor second''', or '''limma''' is the small step of a [[diatonic]] scale.		A '''diatonic semitone''', '''minor second''', or '''limma''' is the small step of a [[diatonic]] scale.{{Infobox\|Title=Diatonic minor second\|Header 1=MOS\|Data 1=[[5L 2s]]\|Header 2=Other names\|Data 2=Minor 1-diastep\|Header 3=Generator span\|Data 3=-5 generators\|Header 4=Tuning range\|Data 4=0-171{{c}}\|Header 5=Basic tuning\|Data 5=100{{c}}\|Header 6=Function on root\|Data 6=Leading tone, supertonic\|Header 7=Interval regions\|Data 7=[[Comma and diesis]], [[Semitone (interval region)\|Semitone]], [[Neutral second]]\|Header 8=Associated just intervals\|Data 8=[[16/15]], [[256/243]]\|Header 9=Octave complement\|Data 9=[[Major seventh (interval region)\|Major seventh]]}}In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]].

	In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]].

	== Examples ==		== Examples ==

ArrowHead294 at 14:04, 12 February 2025

2025-02-12T14:04:40Z

← Older revision		Revision as of 14:04, 12 February 2025
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	{{Wikipedia\|Semitone #Minor second}}		{{Wikipedia\|Semitone #Minor second}}
	A '''diatonic semitone''', '''minor second''' or '''limma''' is the small step of a [[diatonic]] scale.		A '''diatonic semitone''', '''minor second''', or '''limma''' is the small step of a [[diatonic]] scale.

	In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]].		In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]].
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	== Notation ==		== Notation ==

	The number of steps a limma is mapped to in an EDO is referred to as its [[limmanosity]], or penta-sharpness.		The number of steps a limma is mapped to in an EDO is referred to as its [[limmanosity]], or penta-sharpness.

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	== References ==		== References ==
			<references />

	[[Category:Diatonic]]		[[Category:Diatonic]]
	[[Category:Semitone]]		[[Category:Semitone]]

Cmloegcmluin at 15:01, 21 October 2024

2024-10-21T15:01:45Z

← Older revision		Revision as of 15:01, 21 October 2024
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	* [[16/15]], the classic diatonic semitone (5-limit)		* [[16/15]], the classic diatonic semitone (5-limit)
	* [[128/121]], the Axirabian diatonic semitone (11-limit; specifically belonging to the 2.3.11 subgroup)		* [[128/121]], the Axirabian diatonic semitone (11-limit; specifically belonging to the 2.3.11 subgroup)

			== Notation ==

			The number of steps a limma is mapped to in an EDO is referred to as its [[limmanosity]], or penta-sharpness.

	== Etymology ==		== Etymology ==

Cmloegcmluin: separate etymological notes

2024-10-21T15:00:49Z

separate etymological notes

← Older revision		Revision as of 15:00, 21 October 2024
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	In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]].		In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]].

	According to the OED, the earliest English use of limma and [[apotome]] (alt. spelling "apotomy") with its musical as opposed to mathematical<ref>https://www.scientificlib.com/en/Mathematics/LX/Apotome.html</ref> meaning, is in 1694 in ''A Treatise of the Natural Grounds and Principles of Harmony''<ref>https://ota.bodleian.ox.ac.uk/repository/xmlui/bitstream/handle/20.500.12024/A44132/A44132.html</ref> by Church of England clergyman and natural philosopher William Holder. A relevant quote is "Difference between ... Tone Maj. and Limma. Apotome 2187 to 2048". The words are formed from the Greek, with "apo" meaning "away", "tome" meaning "cut" and limma meaning "remnant". So we begin with a major whole tone; the part cut away is the apotome (chromatic semitone) and the remnant is the limma (diatonic semitone).

	== Examples ==		== Examples ==
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	* [[16/15]], the classic diatonic semitone (5-limit)		* [[16/15]], the classic diatonic semitone (5-limit)
	* [[128/121]], the Axirabian diatonic semitone (11-limit; specifically belonging to the 2.3.11 subgroup)		* [[128/121]], the Axirabian diatonic semitone (11-limit; specifically belonging to the 2.3.11 subgroup)

			== Etymology ==
			According to the OED, the earliest English use of limma and [[apotome]] (alt. spelling "apotomy") with its musical as opposed to mathematical<ref>https://www.scientificlib.com/en/Mathematics/LX/Apotome.html</ref> meaning, is in 1694 in ''A Treatise of the Natural Grounds and Principles of Harmony''<ref>https://ota.bodleian.ox.ac.uk/repository/xmlui/bitstream/handle/20.500.12024/A44132/A44132.html</ref> by Church of England clergyman and natural philosopher William Holder. A relevant quote is "Difference between ... Tone Maj. and Limma. Apotome 2187 to 2048". The words are formed from the Greek, with "apo" meaning "away", "tome" meaning "cut" and limma meaning "remnant". So we begin with a major whole tone; the part cut away is the apotome (chromatic semitone) and the remnant is the limma (diatonic semitone).

	== See also ==		== See also ==

Cmloegcmluin: add references section

2024-10-21T15:00:30Z

add references section

← Older revision		Revision as of 15:00, 21 October 2024
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	== See also ==		== See also ==
	* [[Chromatic semitone]]		* [[Chromatic semitone]]

			== References ==

	[[Category:Diatonic]]		[[Category:Diatonic]]
	[[Category:Semitone]]		[[Category:Semitone]]

Cmloegcmluin: unbold terms

2024-10-21T14:59:58Z

unbold terms

← Older revision		Revision as of 14:59, 21 October 2024
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	In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]].		In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]].

	According to the OED, the earliest English use of ~~'''~~limma~~'''~~ and ~~'''~~[[apotome]]~~'''~~ (alt. spelling "apotomy") with its musical as opposed to mathematical<ref>https://www.scientificlib.com/en/Mathematics/LX/Apotome.html</ref> meaning, is in 1694 in ''A Treatise of the Natural Grounds and Principles of Harmony''<ref>https://ota.bodleian.ox.ac.uk/repository/xmlui/bitstream/handle/20.500.12024/A44132/A44132.html</ref> by Church of England clergyman and natural philosopher William Holder. A relevant quote is "Difference between ... Tone Maj. and Limma. Apotome 2187 to 2048". The words are formed from the Greek, with "apo" meaning "away", "tome" meaning "cut" and limma meaning "remnant". So we begin with a major whole tone; the part cut away is the apotome (chromatic semitone) and the remnant is the limma (diatonic semitone).		According to the OED, the earliest English use of limma and [[apotome]] (alt. spelling "apotomy") with its musical as opposed to mathematical<ref>https://www.scientificlib.com/en/Mathematics/LX/Apotome.html</ref> meaning, is in 1694 in ''A Treatise of the Natural Grounds and Principles of Harmony''<ref>https://ota.bodleian.ox.ac.uk/repository/xmlui/bitstream/handle/20.500.12024/A44132/A44132.html</ref> by Church of England clergyman and natural philosopher William Holder. A relevant quote is "Difference between ... Tone Maj. and Limma. Apotome 2187 to 2048". The words are formed from the Greek, with "apo" meaning "away", "tome" meaning "cut" and limma meaning "remnant". So we begin with a major whole tone; the part cut away is the apotome (chromatic semitone) and the remnant is the limma (diatonic semitone).

	== Examples ==		== Examples ==

Dave Keenan: Added etymology of "limma" with its relationship to "apotome"

2024-10-21T07:21:21Z

Added etymology of "limma" with its relationship to "apotome"

← Older revision		Revision as of 07:21, 21 October 2024
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	In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]].		In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]].

			According to the OED, the earliest English use of '''limma''' and '''[[apotome]]''' (alt. spelling "apotomy") with its musical as opposed to mathematical<ref>https://www.scientificlib.com/en/Mathematics/LX/Apotome.html</ref> meaning, is in 1694 in ''A Treatise of the Natural Grounds and Principles of Harmony''<ref>https://ota.bodleian.ox.ac.uk/repository/xmlui/bitstream/handle/20.500.12024/A44132/A44132.html</ref> by Church of England clergyman and natural philosopher William Holder. A relevant quote is "Difference between ... Tone Maj. and Limma. Apotome 2187 to 2048". The words are formed from the Greek, with "apo" meaning "away", "tome" meaning "cut" and limma meaning "remnant". So we begin with a major whole tone; the part cut away is the apotome (chromatic semitone) and the remnant is the limma (diatonic semitone).

	== Examples ==		== Examples ==

FloraC: Improve wording

2024-08-11T14:57:44Z

Improve wording

← Older revision		Revision as of 14:57, 11 August 2024
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	{{Wikipedia\|Semitone#Minor second}}		{{Wikipedia\|Semitone #Minor second}}
	A '''diatonic semitone''', '''minor second''' or '''limma''' is the small step of a [[diatonic]] scale.		A '''diatonic semitone''', '''minor second''' or '''limma''' is the small step of a [[diatonic]] scale.

	In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). ~~Do note that~~ 24edo's 2\24 ~~is used~~ as the mapping criteria here rather than [[12edo]]'s 1\12 ~~since 12edo tempers out certain~~ intervals ~~that otherwise qualify as diatonic semitones~~.		In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo\|1\7]] and [[24edo\|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]].

	== Examples ==		== Examples ==