Major second (diatonic interval category) - Revision history

FloraC: Changed redirect target from Major second (interval region) to Major second

2026-03-31T12:51:29Z

Changed redirect target from Major second (interval region) to Major second

← Older revision		Revision as of 12:51, 31 March 2026
Line 1:		Line 1:
	#REDIRECT [[Major second ~~(interval region)]]~~		#REDIRECT [[Major second]]
	~~[[Category:Diatonic interval categories~~]]

VectorGraphics: Content moved to the other page

2025-06-18T06:37:22Z

Content moved to the other page

← Older revision		Revision as of 06:37, 18 June 2025
Line 1:		Line 1:
	~~{{Infobox~~		#REDIRECT [[Major second (interval region)]]
	~~\| Title = Diatonic major second~~
	~~\| Header 1 = MOS \| Data 1 = [[5L 2s]]~~
	~~\| Header 2 = Other names \| Data 2 = Major 1-diastep~~
	~~\| Header 3 = Generator span \| Data 3 = +2 generators~~
	~~\| Header 4 = Tuning range \| Data 4 = 171–240{{c}}~~
	~~\| Header 5 = Basic tuning \| Data 5 = 200{{c}}~~
	~~\| Header 6 = Function on root \| Data 6 = Supertonic~~
	~~\| Header 7 = Interval regions \| Data 7 =~~ [[Major second (interval region)~~\|Major second]]~~
	~~\| Header 8 = Associated just intervals \| Data 8 = [[10/9]], [[9/8]]~~
	~~\| Header 9 = Octave complement \| Data 9 = [[Minor seventh (diatonic interval category)\|Minor seventh]]~~
	}}
	A '''major second''' ('''M2'''), also called a '''whole tone''' or simply '''tone''', is an interval that spans one scale step in the [[5L 2s\|diatonic]] scale with the major (wider) quality. It is generated by stacking 2 fifths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 171 to 240{{cent}} ([[7edo\|1\7]] to [[5edo\|1\5]]). It can be considered the large step of the diatonic scale. In [[just intonation]], an interval may be classified as a major second if it is reasonably mapped to one step of the diatonic scale and two steps of the chromatic scale.

	Given its role as the large step, it can be used to construct other diatonic intervals, along with the [[Minor second (diatonic interval category)\|minor second]]: two major seconds make a [[major third (diatonic interval category)\|major third]], a major second and a minor second make a [[Minor third (diatonic interval category)\|minor third]], and three major seconds result in an [[augmented fourth]], also called a tritone for that reason.

	~~In [[TAMNAMS]], this interval is called the '''major 1-diastep'''.~~

	~~== Scale info ==~~
	The diatonic scale contains five major seconds. In the Ionian mode, major seconds are found on the 1st, 2nd, 4th, 5th, and 6th degrees of the scale; the other two degrees have minor seconds. The large number of major seconds compared to minor seconds ensures that thirds that include minor seconds (that is, minor thirds) are roughly evenly distributed with major thirds; in a scale with three small steps and four large steps, for example, six out of the seven thirds are [[Minor third\|minor]].

	~~== Tunings ==~~
	Being an abstract mos degree, and not a specific interval, the diatonic major third does not have a fixed tuning, but instead has a range of ways it can be tuned, based on the tuning of the generator used in making the scale.

	The tuning range of the diatonic major second ranges from 342.8 to 480{{c}}. The generator for a given tuning in cents, ''n'', for the diatonic major second can be found by {{nowrap\| (''n'' + 1200)/2. For example, the third 192{{c}} gives us {{nowrap\| (192 + 1200)/2 {{=}} 1392/2 {{=}} 696{{c}} }}, corresponding to 50edo.

	~~Several example tunings are provided below:~~
	~~{\| class="wikitable center-all left-1"~~
	\|-
	~~! Tuning~~
	~~! Step ratio~~
	~~! Edo~~
	~~! Cents~~
	\|-
	~~\| Equalized~~
	~~\| 1:1~~
	~~\| 7~~
	~~\| 171{{c}}~~
	\|-
	~~\| Supersoft~~
	~~\| 4:3~~
	~~\| 26~~
	~~\| 184{{c}}~~
	\|-
	~~\| Soft~~
	~~\| 3:2~~
	~~\| 19~~
	~~\| 189{{c}}~~
	\|-
	~~\| Semisoft~~
	~~\| 5:3~~
	~~\| 31~~
	~~\| 194{{c}}~~
	\|-
	~~\| Basic~~
	~~\| 2:1~~
	~~\| 12~~
	~~\| 200{{c}}~~
	\|-
	~~\| Semihard~~
	~~\| 5:2~~
	~~\| 29~~
	~~\| 207{{c}}~~
	\|-
	~~\| Hard~~
	~~\| 3:1~~
	~~\| 17~~
	~~\| 212{{c}}~~
	\|-
	~~\| Superhard~~
	~~\| 4:1~~
	~~\| 22~~
	~~\| 218{{c}}~~
	\|-
	~~\| Collapsed~~
	~~\| 1:0~~
	~~\| 5~~
	~~\| 240{{c}}~~
	\|}

	~~== In regular temperaments ==~~
	~~=== P5 = 3/2 ===~~
	~~If the diatonic perfect fifth is treated as [[3/2]], approximating various intervals with the diatonic major second leads to the following temperaments:~~

	~~{\| class="wikitable center-2 center-5"~~
	\|+
	~~! Just<br>interval~~
	~~! Cents~~
	~~! Temperament~~
	~~! Vanishing<br>comma~~
	~~! Generator<br>(eigenmonzo tuning)~~
	\|-
	~~\| 21/19~~
	~~\| 173{{c}}~~
	~~\| [[Hendrix #Surprise\|Surprise~~]]
	~~\| [[57/56]]~~
	~~\| 687{{c}}~~
	\|-
	~~\| 10/9~~
	~~\| 182{{c}}~~
	~~\| [[Meantone]]~~
	~~\| [[81/80]]~~
	~~\| 691{{c}}~~
	\|-
	~~\| 19/17~~
	~~\| 193{{c}}~~
	~~\| Little ganassi~~
	~~\| [[153/152]]~~
	~~\| 696{{c}}~~
	\|-
	~~\| 9/8~~
	~~\| 204{{c}}~~
	~~\| [[Pythagorean]]~~
	~~\| [[1/1]]~~
	~~\| 702{{c}}~~
	\|-
	~~\| 17/15~~
	~~\| 217{{c}}~~
	~~\| Fiventeen~~
	~~\| [[136/135]]~~
	~~\| 708{{c}}~~
	\|-
	~~\| 8/7~~
	~~\| 231{{c}}~~
	~~\| [[Archy]]~~
	~~\| [[64/63]]~~
	~~\| 716{{c}}~~
	\|}

	~~== See also ==~~
	* [[Major second]] (disambiguation page)

	[[Category:Diatonic interval categories]]		[[Category:Diatonic interval categories]]

FloraC: More cleanup

2025-04-17T12:48:32Z

More cleanup

← Older revision		Revision as of 12:48, 17 April 2025
Line 23:		Line 23:
	Being an abstract mos degree, and not a specific interval, the diatonic major third does not have a fixed tuning, but instead has a range of ways it can be tuned, based on the tuning of the generator used in making the scale.		Being an abstract mos degree, and not a specific interval, the diatonic major third does not have a fixed tuning, but instead has a range of ways it can be tuned, based on the tuning of the generator used in making the scale.

	The tuning range of the diatonic major second ranges from 342.8 to 480{{c}}. The generator for a given tuning in cents, ''n'', for the diatonic major second can be found by {{~~sfrac~~\|''n'' + 1200\|2}}. For example, the third 192{{c}} gives us {{nowrap\|~~{{sfrac\|~~192 + 1200\|2}} {{=}} ~~{{sfrac\|~~1392\|2}} {{=}} 696{{c}}}}, corresponding to 50edo.		The tuning range of the diatonic major second ranges from 342.8 to 480{{c}}. The generator for a given tuning in cents, ''n'', for the diatonic major second can be found by {{nowrap\| (''n'' + 1200)/2. For example, the third 192{{c}} gives us {{nowrap\| (192 + 1200)/2 {{=}} 1392/2 {{=}} 696{{c}} }}, corresponding to 50edo.

	Several example tunings are provided below:		Several example tunings are provided below:
	{\| class="wikitable"		{\| class="wikitable center-all left-1"
	\|-		\|-
	! Tuning		! Tuning
Line 83:		Line 83:
	If the diatonic perfect fifth is treated as [[3/2]], approximating various intervals with the diatonic major second leads to the following temperaments:		If the diatonic perfect fifth is treated as [[3/2]], approximating various intervals with the diatonic major second leads to the following temperaments:

	{\| class="wikitable"		{\| class="wikitable center-2 center-5"
	\|+		\|+
	! Just interval		! Just<br>interval
	! Cents		! Cents
	! Temperament		! Temperament
	! ~~Tempered~~ comma		! Vanishing<br>comma
	! Generator (eigenmonzo tuning)		! Generator<br>(eigenmonzo tuning)
	\|-		\|-
	\| 21/19		\| 21/19

FloraC: Rework on the infobox: no major centrism; octave complement better than adjacent chromatic. Misc. cleanup

2025-04-17T12:35:49Z

Rework on the infobox: no major centrism; octave complement better than adjacent chromatic. Misc. cleanup

Show changes

ArrowHead294 at 23:27, 17 March 2025

2025-03-17T23:27:15Z

← Older revision		Revision as of 23:27, 17 March 2025
Line 1:		Line 1:
	A '''major second''' ('''M2'''), also called a '''whole tone''' or simply '''tone''', is an interval that spans one scale step in the [[5L 2s\|diatonic]] scale with the major (wider) quality. It is generated by stacking 2 fifths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 171 to 240{{cent}} ([[7edo\|1\7]] to [[5edo\|1\5]]). It can be considered the large step of the diatonic scale.{{Infobox		A '''major second''' ('''M2'''), also called a '''whole tone''' or simply '''tone''', is an interval that spans one scale step in the [[5L 2s\|diatonic]] scale with the major (wider) quality. It is generated by stacking 2 fifths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 171 to 240{{cent}} ([[7edo\|1\7]] to [[5edo\|1\5]]). It can be considered the large step of the diatonic scale.
			{{Infobox
	\| Title = Diatonic major second		\| Title = Diatonic major second
	\| Header 1 = MOS \| Data 1 = [[5L 2s]]		\| Header 1 = MOS \| Data 1 = [[5L 2s]]

VectorGraphics: this wiki does not need a template for the character "="

2025-03-17T23:10:56Z

this wiki does not need a template for the character "="

← Older revision		Revision as of 23:10, 17 March 2025
Line 79:		Line 79:
	\|}		\|}
	==In regular temperaments==		==In regular temperaments==
	===P5 {{=}} 3/2===		===P5 = 3/2===
	If the diatonic perfect fifth is treated as [[3/2]], approximating various intervals with the diatonic major second leads to the following temperaments:		If the diatonic perfect fifth is treated as [[3/2]], approximating various intervals with the diatonic major second leads to the following temperaments:

BudjarnLambeth: Categorised uncategorised page

2025-03-17T09:04:51Z

Categorised uncategorised page

← Older revision		Revision as of 09:04, 17 March 2025
Line 137:		Line 137:

	* [[Major second]] (disambiguation page)		* [[Major second]] (disambiguation page)

			[[Category:Diatonic interval categories]]

VectorGraphics at 06:40, 16 March 2025

2025-03-16T06:40:55Z

← Older revision		Revision as of 06:40, 16 March 2025
Line 1:		Line 1:
	A '''major second''' ('''M2'''), also called a '''whole tone''' or simply '''tone''', is an interval that spans one scale step in the [[5L 2s\|diatonic]] scale with the major (wider) quality. It is generated by stacking 2 fifths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 171 to 240{{cent}} ([[7edo\|1\7]] to [[5edo\|1\5]]). It can be considered the large step of the diatonic scale.		A '''major second''' ('''M2'''), also called a '''whole tone''' or simply '''tone''', is an interval that spans one scale step in the [[5L 2s\|diatonic]] scale with the major (wider) quality. It is generated by stacking 2 fifths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 171 to 240{{cent}} ([[7edo\|1\7]] to [[5edo\|1\5]]). It can be considered the large step of the diatonic scale.{{Infobox
			\| Title = Diatonic major second
	In [[just intonation]], an interval may be classified as a major second if it is reasonably mapped to one step of the diatonic scale and two steps of the chromatic scale.		\| Header 1 = MOS \| Data 1 = [[5L 2s]]
			\| Header 2 = Other names \| Data 2 = Major 1-diastep
			\| Header 3 = Generator span \| Data 3 = +2 generators
			\| Header 4 = Tuning range \| Data 4 = 171–240{{c}}
			\| Header 5 = Basic tuning \| Data 5 = 200{{c}}
			\| Header 6 = Chromatically adjacent interval \| Data 6 = [[Minor second (diatonic interval category)\|Diatonic minor second]]
			\| Header 7 = Function on root \| Data 7 = Supertonic
			\| Header 8 = Positions in major scale \| Data 8 = 1, 2, 4, 5, 6
			\| Header 9 = Interval regions \| Data 9 = [[Major second (interval region)\|Major second]]
			\| Header 10 = Associated just intervals \| Data 10 = [[10/9]], [[9/8]]
			}}In [[just intonation]], an interval may be classified as a major second if it is reasonably mapped to one step of the diatonic scale and two steps of the chromatic scale.

	Given its role as the large step, it can be used to construct other diatonic intervals, along with the [[Minor second (diatonic interval category)\|minor second]]: two major seconds make a [[Major third (diatonic interval category)\|major third]], a major second and a minor second make a [[Minor third (diatonic interval category)\|minor third]], and three major seconds result in an [[augmented fourth]], also called a tritone for that reason.		Given its role as the large step, it can be used to construct other diatonic intervals, along with the [[Minor second (diatonic interval category)\|minor second]]: two major seconds make a [[Major third (diatonic interval category)\|major third]], a major second and a minor second make a [[Minor third (diatonic interval category)\|minor third]], and three major seconds result in an [[augmented fourth]], also called a tritone for that reason.

VectorGraphics at 06:38, 16 March 2025

2025-03-16T06:38:40Z

← Older revision		Revision as of 06:38, 16 March 2025
Line 71:		Line 71:
	===P5 {{=}} 3/2===		===P5 {{=}} 3/2===
	If the diatonic perfect fifth is treated as [[3/2]], approximating various intervals with the diatonic major second leads to the following temperaments:		If the diatonic perfect fifth is treated as [[3/2]], approximating various intervals with the diatonic major second leads to the following temperaments:

	<nowiki>*</nowiki>686c generates 171c, which is 6 cents sharp, but this is the flattest a fifth can be and still generate a diatonic scale. Despite this, I thought 11/10 was suitable for inclusion as it is a significant submajor second.		<nowiki>*</nowiki>686c generates 171c, which is 6 cents sharp, but this is the flattest a fifth can be and still generate a diatonic scale. Despite this, I thought 11/10 was suitable for inclusion as it is a significant submajor second.
	{\| class="wikitable"		{\| class="wikitable"

VectorGraphics at 06:38, 16 March 2025

2025-03-16T06:38:17Z

← Older revision		Revision as of 06:38, 16 March 2025
Line 1:		Line 1:
	A '''major second''' ('''M2''') is an interval that spans one scale step in the [[5L 2s\|diatonic]] scale with the major (wider) quality. It is generated by stacking 2 fifths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 171 to 240{{cent}} ([[7edo\|1\7]] to [[5edo\|1\5]]). It can be considered the large step of the diatonic scale.		A '''major second''' ('''M2'''), also called a '''whole tone''' or simply '''tone''', is an interval that spans one scale step in the [[5L 2s\|diatonic]] scale with the major (wider) quality. It is generated by stacking 2 fifths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 171 to 240{{cent}} ([[7edo\|1\7]] to [[5edo\|1\5]]). It can be considered the large step of the diatonic scale.

	In [[just intonation]], an interval may be classified as a major second if it is reasonably mapped to one step of the diatonic scale and two steps of the chromatic scale.		In [[just intonation]], an interval may be classified as a major second if it is reasonably mapped to one step of the diatonic scale and two steps of the chromatic scale.

			Given its role as the large step, it can be used to construct other diatonic intervals, along with the [[Minor second (diatonic interval category)\|minor second]]: two major seconds make a [[Major third (diatonic interval category)\|major third]], a major second and a minor second make a [[Minor third (diatonic interval category)\|minor third]], and three major seconds result in an [[augmented fourth]], also called a tritone for that reason.

			In [[TAMNAMS]], this interval is called the '''major 1-diastep'''.

			==Scale info==
			The diatonic scale contains five major seconds. In the Ionian mode, major seconds are found on the 1st, 2nd, 4th, 5th, and 6th degrees of the scale; the other two degrees have minor seconds. The large number of major seconds compared to minor seconds ensures that thirds that include minor seconds (that is, minor thirds) are roughly evenly distributed with major thirds; in a scale with three small steps and four large steps, for example, six out of the seven thirds are [[Minor third\|minor]].

			==Tunings==
			Being an abstract mos degree, and not a specific interval, the diatonic major third does not have a fixed tuning, but instead has a range of ways it can be tuned, based on the tuning of the generator used in making the scale.

			The tuning range of the diatonic major second ranges from 342.8 to 480{{c}}. The generator for a given tuning in cents, ''n'', for the diatonic major second can be found by {{sfrac\|''n'' + 1200\|2}}. For example, the third 192{{c}} gives us {{nowrap\|{{sfrac\|192 + 1200\|2}} {{=}} {{sfrac\|1392\|2}} {{=}} 696{{c}}}}, corresponding to 50edo.

			Several example tunings are provided below:
			{\| class="wikitable"
			\|-
			!Tuning
			!Step ratio
			!Edo
			!Cents
			\|-
			\|Equalized
			\|1:1
			\|7
			\|171c
			\|-
			\|Supersoft
			\|4:3
			\|26
			\|184c
			\|-
			\|Soft
			\|3:2
			\|19
			\|189c
			\|-
			\|Semisoft
			\|5:3
			\|31
			\|194c
			\|-
			\|Basic
			\|2:1
			\|12
			\|200c
			\|-
			\|Semihard
			\|5:2
			\|29
			\|207c
			\|-
			\|Hard
			\|3:1
			\|17
			\|212c
			\|-
			\|Superhard
			\|4:1
			\|22
			\|218c
			\|-
			\|Collapsed
			\|1:0
			\|5
			\|240c
			\|}
			==In regular temperaments==
			===P5 {{=}} 3/2===
			If the diatonic perfect fifth is treated as [[3/2]], approximating various intervals with the diatonic major second leads to the following temperaments:
			<nowiki>*</nowiki>686c generates 171c, which is 6 cents sharp, but this is the flattest a fifth can be and still generate a diatonic scale. Despite this, I thought 11/10 was suitable for inclusion as it is a significant submajor second.
			{\| class="wikitable"
			\|+
			!Just interval
			!Cents
			!Temperament
			!Tempered comma
			!Generator (eigenmonzo tuning)
			\|-
			\|11/10
			\|165c
			\|Temperament of 45/44 in 2.3.11/5
			\|[[45/44]]
			\|686c*
			\|-
			\|21/19
			\|173c
			\|[[Hendrix#Surprise\|Surprise]]
			\|[[57/56]]
			\|687c
			\|-
			\|10/9
			\|182c
			\|[[Meantone]]
			\|[[81/80]]
			\|691c
			\|-
			\|19/17
			\|193c
			\|Little ganassi
			\|[[153/152]]
			\|696c
			\|-
			\|9/8
			\|204c
			\|[[Pythagorean]]
			\|[[1/1]]
			\|702c
			\|-
			\|17/15
			\|217c
			\|Fiventeen
			\|[[136/135]]
			\|708c
			\|-
			\|8/7
			\|231c
			\|[[Archy]]
			\|[[64/63]]
			\|716c
			\|}

			== See also ==

			* [[Major second]] (disambiguation page)

← Older revision		Revision as of 06:37, 18 June 2025
Line 1:		Line 1:
	~~{{Infobox~~		#REDIRECT [[Major second (interval region)]]
	~~\| Title = Diatonic major second~~
	~~\| Header 1 = MOS \| Data 1 = [[5L 2s]]~~
	~~\| Header 2 = Other names \| Data 2 = Major 1-diastep~~
	~~\| Header 3 = Generator span \| Data 3 = +2 generators~~
	~~\| Header 4 = Tuning range \| Data 4 = 171–240{{c}}~~
	~~\| Header 5 = Basic tuning \| Data 5 = 200{{c}}~~
	~~\| Header 6 = Function on root \| Data 6 = Supertonic~~
	~~\| Header 7 = Interval regions \| Data 7 =~~ [[Major second (interval region)~~\|Major second]]~~
	~~\| Header 8 = Associated just intervals \| Data 8 = [[10/9]], [[9/8]]~~
	~~\| Header 9 = Octave complement \| Data 9 = [[Minor seventh (diatonic interval category)\|Minor seventh]]~~
	}}
	A '''major second''' ('''M2'''), also called a '''whole tone''' or simply '''tone''', is an interval that spans one scale step in the [[5L 2s\|diatonic]] scale with the major (wider) quality. It is generated by stacking 2 fifths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 171 to 240{{cent}} ([[7edo\|1\7]] to [[5edo\|1\5]]). It can be considered the large step of the diatonic scale. In [[just intonation]], an interval may be classified as a major second if it is reasonably mapped to one step of the diatonic scale and two steps of the chromatic scale.

	Given its role as the large step, it can be used to construct other diatonic intervals, along with the [[Minor second (diatonic interval category)\|minor second]]: two major seconds make a [[major third (diatonic interval category)\|major third]], a major second and a minor second make a [[Minor third (diatonic interval category)\|minor third]], and three major seconds result in an [[augmented fourth]], also called a tritone for that reason.

	~~In [[TAMNAMS]], this interval is called the '''major 1-diastep'''.~~

	~~== Scale info ==~~
	The diatonic scale contains five major seconds. In the Ionian mode, major seconds are found on the 1st, 2nd, 4th, 5th, and 6th degrees of the scale; the other two degrees have minor seconds. The large number of major seconds compared to minor seconds ensures that thirds that include minor seconds (that is, minor thirds) are roughly evenly distributed with major thirds; in a scale with three small steps and four large steps, for example, six out of the seven thirds are [[Minor third\|minor]].

	~~== Tunings ==~~
	Being an abstract mos degree, and not a specific interval, the diatonic major third does not have a fixed tuning, but instead has a range of ways it can be tuned, based on the tuning of the generator used in making the scale.

	The tuning range of the diatonic major second ranges from 342.8 to 480{{c}}. The generator for a given tuning in cents, ''n'', for the diatonic major second can be found by {{nowrap\| (''n'' + 1200)/2. For example, the third 192{{c}} gives us {{nowrap\| (192 + 1200)/2 {{=}} 1392/2 {{=}} 696{{c}} }}, corresponding to 50edo.

	~~Several example tunings are provided below:~~
	~~{\| class="wikitable center-all left-1"~~
	\|-
	~~! Tuning~~
	~~! Step ratio~~
	~~! Edo~~
	~~! Cents~~
	\|-
	~~\| Equalized~~
	~~\| 1:1~~
	~~\| 7~~
	~~\| 171{{c}}~~
	\|-
	~~\| Supersoft~~
	~~\| 4:3~~
	~~\| 26~~
	~~\| 184{{c}}~~
	\|-
	~~\| Soft~~
	~~\| 3:2~~
	~~\| 19~~
	~~\| 189{{c}}~~
	\|-
	~~\| Semisoft~~
	~~\| 5:3~~
	~~\| 31~~
	~~\| 194{{c}}~~
	\|-
	~~\| Basic~~
	~~\| 2:1~~
	~~\| 12~~
	~~\| 200{{c}}~~
	\|-
	~~\| Semihard~~
	~~\| 5:2~~
	~~\| 29~~
	~~\| 207{{c}}~~
	\|-
	~~\| Hard~~
	~~\| 3:1~~
	~~\| 17~~
	~~\| 212{{c}}~~
	\|-
	~~\| Superhard~~
	~~\| 4:1~~
	~~\| 22~~
	~~\| 218{{c}}~~
	\|-
	~~\| Collapsed~~
	~~\| 1:0~~
	~~\| 5~~
	~~\| 240{{c}}~~
	\|}

	~~== In regular temperaments ==~~
	~~=== P5 = 3/2 ===~~
	~~If the diatonic perfect fifth is treated as [[3/2]], approximating various intervals with the diatonic major second leads to the following temperaments:~~

	~~{\| class="wikitable center-2 center-5"~~
	\|+
	~~! Just<br>interval~~
	~~! Cents~~
	~~! Temperament~~
	~~! Vanishing<br>comma~~
	~~! Generator<br>(eigenmonzo tuning)~~
	\|-
	~~\| 21/19~~
	~~\| 173{{c}}~~
	~~\| [[Hendrix #Surprise\|Surprise~~]]
	~~\| [[57/56]]~~
	~~\| 687{{c}}~~
	\|-
	~~\| 10/9~~
	~~\| 182{{c}}~~
	~~\| [[Meantone]]~~
	~~\| [[81/80]]~~
	~~\| 691{{c}}~~
	\|-
	~~\| 19/17~~
	~~\| 193{{c}}~~
	~~\| Little ganassi~~
	~~\| [[153/152]]~~
	~~\| 696{{c}}~~
	\|-
	~~\| 9/8~~
	~~\| 204{{c}}~~
	~~\| [[Pythagorean]]~~
	~~\| [[1/1]]~~
	~~\| 702{{c}}~~
	\|-
	~~\| 17/15~~
	~~\| 217{{c}}~~
	~~\| Fiventeen~~
	~~\| [[136/135]]~~
	~~\| 708{{c}}~~
	\|-
	~~\| 8/7~~
	~~\| 231{{c}}~~
	~~\| [[Archy]]~~
	~~\| [[64/63]]~~
	~~\| 716{{c}}~~
	\|}

	~~== See also ==~~
	* [[Major second]] (disambiguation page)

	[[Category:Diatonic interval categories]]		[[Category:Diatonic interval categories]]

← Older revision		Revision as of 06:40, 16 March 2025
Line 1:		Line 1:
	A '''major second''' ('''M2'''), also called a '''whole tone''' or simply '''tone''', is an interval that spans one scale step in the [[5L 2s\|diatonic]] scale with the major (wider) quality. It is generated by stacking 2 fifths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 171 to 240{{cent}} ([[7edo\|1\7]] to [[5edo\|1\5]]). It can be considered the large step of the diatonic scale.		A '''major second''' ('''M2'''), also called a '''whole tone''' or simply '''tone''', is an interval that spans one scale step in the [[5L 2s\|diatonic]] scale with the major (wider) quality. It is generated by stacking 2 fifths [[octave reduction\|octave reduced]], and depending on the specific tuning, it ranges from 171 to 240{{cent}} ([[7edo\|1\7]] to [[5edo\|1\5]]). It can be considered the large step of the diatonic scale.{{Infobox
			\| Title = Diatonic major second
	In [[just intonation]], an interval may be classified as a major second if it is reasonably mapped to one step of the diatonic scale and two steps of the chromatic scale.		\| Header 1 = MOS \| Data 1 = [[5L 2s]]
			\| Header 2 = Other names \| Data 2 = Major 1-diastep
			\| Header 3 = Generator span \| Data 3 = +2 generators
			\| Header 4 = Tuning range \| Data 4 = 171–240{{c}}
			\| Header 5 = Basic tuning \| Data 5 = 200{{c}}
			\| Header 6 = Chromatically adjacent interval \| Data 6 = [[Minor second (diatonic interval category)\|Diatonic minor second]]
			\| Header 7 = Function on root \| Data 7 = Supertonic
			\| Header 8 = Positions in major scale \| Data 8 = 1, 2, 4, 5, 6
			\| Header 9 = Interval regions \| Data 9 = [[Major second (interval region)\|Major second]]
			\| Header 10 = Associated just intervals \| Data 10 = [[10/9]], [[9/8]]
			}}In [[just intonation]], an interval may be classified as a major second if it is reasonably mapped to one step of the diatonic scale and two steps of the chromatic scale.

	Given its role as the large step, it can be used to construct other diatonic intervals, along with the [[Minor second (diatonic interval category)\|minor second]]: two major seconds make a [[Major third (diatonic interval category)\|major third]], a major second and a minor second make a [[Minor third (diatonic interval category)\|minor third]], and three major seconds result in an [[augmented fourth]], also called a tritone for that reason.		Given its role as the large step, it can be used to construct other diatonic intervals, along with the [[Minor second (diatonic interval category)\|minor second]]: two major seconds make a [[Major third (diatonic interval category)\|major third]], a major second and a minor second make a [[Minor third (diatonic interval category)\|minor third]], and three major seconds result in an [[augmented fourth]], also called a tritone for that reason.