Pental major and minor - Revision history

FloraC: Mark some terms as idiosyncratic. + "classimajor" and "classiminor"

2026-01-08T11:20:35Z

Mark some terms as idiosyncratic. + "classimajor" and "classiminor"

← Older revision		Revision as of 11:20, 8 January 2026
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	''This article is about two different but related interval qualities. For 5-limit major and minor intervals, see [[5/4]], [[6/5]], [[8/5]], and [[5/3]]. For other uses of "pental", see [[Perfect fifth]] and [[5-limit]].''		: ''This article is about two different but related interval qualities. For 5-limit major and minor intervals, see [[5/4]], [[6/5]], [[8/5]], and [[5/3]]. For other uses of "pental", see [[Perfect fifth]] and [[5-limit]].''

	'''Pental major''' intervals are an interval quality denoting tunings close to ptolemaic major intervals. They are sharper than [[submajor]] intervals and flatter than [[novamajor]] intervals. Likewise, '''pental minor''' intervals are an interval quality denoting tunings close to ptolemaic minor intervals. They are sharper than novaminor intervals and flatter than supraminor intervals. Pental major thirds range from about 375–394{{c}}, and pental minor thirds range from about 308–327{{c}}. Pental intervals may also be known as '''classical''', and the terms '''nearmajor/nearminor''' have also been used, though they refer to a somewhat larger band than the definition given here, bleeding into both the submajor/supraminor and novamajor/novaminor categories.		'''Pental major''' intervals are an interval quality denoting tunings close to ptolemaic major intervals. They are sharper than [[submajor]] intervals and flatter than [[novamajor]] intervals. Likewise, '''pental minor''' intervals are an interval quality denoting tunings close to ptolemaic minor intervals. They are sharper than novaminor intervals and flatter than supraminor intervals. Pental major thirds range from about 375–394{{c}}, and pental minor thirds range from about 308–327{{c}}. Pental intervals may also be known as '''classical''', and the terms '''nearmajor/nearminor'''{{idio}} have also been used, though they refer to a somewhat larger band than the definition given here, bleeding into both the submajor/supraminor and novamajor/novaminor categories.

	Common pental major/minor intervals can be found as simple 5-limit intervals, and include:		Common pental major/minor intervals can be found as simple 5-limit intervals, and include:
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	Optionally, the category of pental may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:		Optionally, the category of pental may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:

	* '''Magimajor''' and '''magiminor''', for thirds, range between about 375–382 and 320–327{{c}}, respectively. These are flat of the 5-limit thirds, and appear in 5-limit temperaments where the chromatic semitone 25/24 is tempered narrow, like in [[garibaldi]], [[magic]] (hence the name), or the minor third in [[flattone]]. Magimajor seconds range from 171–178{{c}}, and thus contain the upper part of the "equable heptatonic" region. For a given [[neutral]] interval ''k'' in cents, the magimajor version is found at around {{nowrap\|''k'' + 28}}, and the magiminor version is found at around {{nowrap\|''k'' − 28}}.		* '''Magimajor''' and '''magiminor'''{{idio}}, for thirds, range between about 375–382 and 320–327{{c}}, respectively. These are flat of the 5-limit thirds, and appear in 5-limit temperaments where the chromatic semitone 25/24 is tempered narrow, like in [[garibaldi]], [[magic]] (hence the name), or the minor third in [[flattone]]. Magimajor seconds range from 171–178{{c}}, and thus contain the upper part of the "equable heptatonic" region. For a given [[neutral]] interval ''k'' in cents, the magimajor version is found at around {{nowrap\|''k'' + 28}}, and the magiminor version is found at around {{nowrap\|''k'' − 28}}.
	* '''Pentamajor''' and '''pentaminor''', for thirds, range between about 382–394 and 308–320{{c}}, respectively. These are the regions containing 5-limit intervals. Pentamajor seconds range from 178–190{{c}}. For a given [[neutral]] interval ''k'' in cents, the pentamajor version is found at around {{nowrap\|''k'' + 35}}, and the pentaminor version is found at around {{nowrap\|''k'' − 35}}.		* '''Pentamajor'''/'''classimajor''' and '''pentaminor'''/'''classiminor'''{{idio}}, for thirds, range between about 382–394 and 308–320{{c}}, respectively. These are the regions containing 5-limit intervals. Pentamajor seconds range from 178–190{{c}}. For a given [[neutral]] interval ''k'' in cents, the pentamajor version is found at around {{nowrap\|''k'' + 35}}, and the pentaminor version is found at around {{nowrap\|''k'' − 35}}.

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

Lériendil at 02:26, 6 September 2025

2025-09-06T02:26:21Z

← Older revision		Revision as of 02:26, 6 September 2025
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	''This article is about two different but related interval qualities. For 5-limit major and minor intervals, see [[5/4]], [[6/5]], [[8/5]], and [[5/3]]. For other uses of "pental", see [[Perfect fifth]] and [[5-limit]].''		''This article is about two different but related interval qualities. For 5-limit major and minor intervals, see [[5/4]], [[6/5]], [[8/5]], and [[5/3]]. For other uses of "pental", see [[Perfect fifth]] and [[5-limit]].''

	'''Pental major''' intervals are an interval quality denoting tunings close to ptolemaic major intervals. They are sharper than [[submajor]] intervals and flatter than [[novamajor]] intervals. Likewise, '''pental minor''' intervals are an interval quality denoting tunings close to ptolemaic minor intervals. They are sharper than novaminor intervals and flatter than supraminor intervals. Pental major thirds range from about 375–394{{c}}, and pental minor thirds range from about 308–327{{c}}. Pental intervals may also be known as '''classical''', and the ~~term~~ '''nearmajor''' ~~has~~ also been used, though ~~it refers~~ to a somewhat larger band than the definition given here, bleeding into both the submajor/supraminor and novamajor/novaminor categories.		'''Pental major''' intervals are an interval quality denoting tunings close to ptolemaic major intervals. They are sharper than [[submajor]] intervals and flatter than [[novamajor]] intervals. Likewise, '''pental minor''' intervals are an interval quality denoting tunings close to ptolemaic minor intervals. They are sharper than novaminor intervals and flatter than supraminor intervals. Pental major thirds range from about 375–394{{c}}, and pental minor thirds range from about 308–327{{c}}. Pental intervals may also be known as '''classical''', and the terms '''nearmajor/nearminor''' have also been used, though they refer to a somewhat larger band than the definition given here, bleeding into both the submajor/supraminor and novamajor/novaminor categories.

	Common pental major/minor intervals can be found as simple 5-limit intervals, and include:		Common pental major/minor intervals can be found as simple 5-limit intervals, and include:

Lériendil at 02:25, 6 September 2025

2025-09-06T02:25:29Z

← Older revision		Revision as of 02:25, 6 September 2025
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	''This article is about two different but related interval qualities. For 5-limit major and minor intervals, see [[5/4]], [[6/5]], [[8/5]], and [[5/3]]. For other uses of "pental", see [[Perfect fifth]] and [[5-limit]].''		''This article is about two different but related interval qualities. For 5-limit major and minor intervals, see [[5/4]], [[6/5]], [[8/5]], and [[5/3]]. For other uses of "pental", see [[Perfect fifth]] and [[5-limit]].''

	'''Pental major''' intervals are an interval quality denoting tunings close to ptolemaic major intervals. They are sharper than submajor intervals and flatter than novamajor intervals. Likewise, '''pental minor''' intervals are an interval quality denoting tunings close to ptolemaic minor intervals. They are sharper than novaminor intervals and flatter than supraminor intervals. Pental major thirds range from about 375–394{{c}}, and pental minor thirds range from about 308–327{{c}}.		'''Pental major''' intervals are an interval quality denoting tunings close to ptolemaic major intervals. They are sharper than [[submajor]] intervals and flatter than [[novamajor]] intervals. Likewise, '''pental minor''' intervals are an interval quality denoting tunings close to ptolemaic minor intervals. They are sharper than novaminor intervals and flatter than supraminor intervals. Pental major thirds range from about 375–394{{c}}, and pental minor thirds range from about 308–327{{c}}. Pental intervals may also be known as '''classical''', and the term '''nearmajor''' has also been used, though it refers to a somewhat larger band than the definition given here, bleeding into both the submajor/supraminor and novamajor/novaminor categories.

	Common pental major/minor intervals can be found as simple 5-limit intervals, and include:		Common pental major/minor intervals can be found as simple 5-limit intervals, and include:

VectorGraphics at 22:18, 15 July 2025

2025-07-15T22:18:03Z

← Older revision		Revision as of 22:18, 15 July 2025
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	* [[9/5]] (1018{{c}}), pental minor seventh		* [[9/5]] (1018{{c}}), pental minor seventh

	Pental major/minor intervals are found in diatonic sales where the fifth is tuned slightly flat of just. If these intervals are interpreted as the 5-limit, the result is [[meantone]] temperament. For a given [[neutral]] interval ''k'' in cents, the pental major quality ranges from around {{nowrap\|''k'' + 24}} to {{nowrap\|''k'' + 43}}, and the pental minor quality ranges from around {{nowrap\|''k'' − 43}} to {{nowrap\|''k'' − 24}}.		Pental major/minor intervals are found in diatonic sales where the fifth is tuned slightly flat of just, to around 695 cents. If these intervals are interpreted as the 5-limit, the result is [[meantone]] temperament. For a given [[neutral]] interval ''k'' in cents, the pental major quality ranges from around {{nowrap\|''k'' + 24}} to {{nowrap\|''k'' + 43}}, and the pental minor quality ranges from around {{nowrap\|''k'' − 43}} to {{nowrap\|''k'' − 24}}.

	Optionally, the category of pental may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:		Optionally, the category of pental may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:

TallKite: clarified that this page is about two interval qualities, not one.

2025-06-05T09:24:31Z

clarified that this page is about two interval qualities, not one.

← Older revision		Revision as of 09:24, 5 June 2025
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	''This article is about ~~the~~ interval ~~quality~~. For 5-limit major and minor intervals, see [[5/4]], [[6/5]], [[8/5]], and [[5/3]]. For other uses of "pental", see [[Perfect fifth]] and [[5-limit]].''		''This article is about two different but related interval qualities. For 5-limit major and minor intervals, see [[5/4]], [[6/5]], [[8/5]], and [[5/3]]. For other uses of "pental", see [[Perfect fifth]] and [[5-limit]].''

	'''Pental major''' intervals are an interval quality denoting tunings close to ptolemaic major intervals. They are sharper than submajor intervals and flatter than novamajor intervals. Likewise, '''pental minor''' intervals are an interval quality denoting tunings close to ptolemaic minor intervals. They are sharper than novaminor intervals and flatter than supraminor intervals. Pental major thirds range from about 375–394{{c}}, and pental minor thirds range from about 308–327{{c}}.		'''Pental major''' intervals are an interval quality denoting tunings close to ptolemaic major intervals. They are sharper than submajor intervals and flatter than novamajor intervals. Likewise, '''pental minor''' intervals are an interval quality denoting tunings close to ptolemaic minor intervals. They are sharper than novaminor intervals and flatter than supraminor intervals. Pental major thirds range from about 375–394{{c}}, and pental minor thirds range from about 308–327{{c}}.

ArrowHead294 at 13:48, 4 June 2025

2025-06-04T13:48:21Z

← Older revision		Revision as of 13:48, 4 June 2025
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	Optionally, the category of pental may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:		Optionally, the category of pental may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:

	* '''Magimajor''' and '''magiminor''', for thirds, range between about ~~375-382~~ and 320–327{{c}}, respectively. These are flat of the 5-limit thirds, and appear in 5-limit temperaments where the chromatic semitone 25/24 is tempered narrow, like in [[garibaldi]], [[magic]] (hence the name), or the minor third in [[flattone]]. Magimajor seconds range from 171–178{{c}}, and thus contain the upper part of the "equable heptatonic" region. For a given [[neutral]] interval ''k'' in cents, the magimajor version is found at around {{nowrap\|''k'' + 28}}, and the magiminor version is found at around {{nowrap\|''k'' − 28}}.		* '''Magimajor''' and '''magiminor''', for thirds, range between about 375–382 and 320–327{{c}}, respectively. These are flat of the 5-limit thirds, and appear in 5-limit temperaments where the chromatic semitone 25/24 is tempered narrow, like in [[garibaldi]], [[magic]] (hence the name), or the minor third in [[flattone]]. Magimajor seconds range from 171–178{{c}}, and thus contain the upper part of the "equable heptatonic" region. For a given [[neutral]] interval ''k'' in cents, the magimajor version is found at around {{nowrap\|''k'' + 28}}, and the magiminor version is found at around {{nowrap\|''k'' − 28}}.
	* '''Pentamajor''' and '''pentaminor''', for thirds, range between about ~~382-394~~ and 308–320{{c}}, respectively. These are the regions containing 5-limit intervals. Pentamajor seconds range from 178–190{{c}}. For a given [[neutral]] interval ''k'' in cents, the pentamajor version is found at around {{nowrap\|''k'' + 35}}, and the pentaminor version is found at around {{nowrap\|''k'' − 35}}.		* '''Pentamajor''' and '''pentaminor''', for thirds, range between about 382–394 and 308–320{{c}}, respectively. These are the regions containing 5-limit intervals. Pentamajor seconds range from 178–190{{c}}. For a given [[neutral]] interval ''k'' in cents, the pentamajor version is found at around {{nowrap\|''k'' + 35}}, and the pentaminor version is found at around {{nowrap\|''k'' − 35}}.

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

ArrowHead294 at 13:48, 4 June 2025

2025-06-04T13:48:05Z

← Older revision		Revision as of 13:48, 4 June 2025
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	''This article is about the interval quality. For 5-limit major and minor intervals, see [[5/4]], [[6/5]], [[8/5]], and [[5/3]]. For other uses of "pental", see [[Perfect fifth]] and [[5-limit]].''		''This article is about the interval quality. For 5-limit major and minor intervals, see [[5/4]], [[6/5]], [[8/5]], and [[5/3]]. For other uses of "pental", see [[Perfect fifth]] and [[5-limit]].''

	'''Pental major''' intervals are an interval quality denoting tunings close to ptolemaic major intervals. They are sharper than submajor intervals and flatter than novamajor intervals. Likewise, '''pental minor''' intervals are an interval quality denoting tunings close to ptolemaic minor intervals. They are sharper than novaminor intervals and flatter than supraminor intervals. Pental major thirds range from about ~~375 to 394 cents~~, and pental minor thirds range from about ~~308 to 327 cents~~.		'''Pental major''' intervals are an interval quality denoting tunings close to ptolemaic major intervals. They are sharper than submajor intervals and flatter than novamajor intervals. Likewise, '''pental minor''' intervals are an interval quality denoting tunings close to ptolemaic minor intervals. They are sharper than novaminor intervals and flatter than supraminor intervals. Pental major thirds range from about 375–394{{c}}, and pental minor thirds range from about 308–327{{c}}.

	Common pental major/minor intervals can be found as simple 5-limit intervals, and include:		Common pental major/minor intervals can be found as simple 5-limit intervals, and include:

	* [[10/9]] (~~182c~~), pental major second		* [[10/9]] (182{{c}}), pental major second
	* [[6/5]] (~~316c~~), pental minor third		* [[6/5]] (316{{c}}), pental minor third
	* [[5/4]] (~~386c~~), pental major third		* [[5/4]] (386{{c}}), pental major third
	* [[8/5]] (~~814c~~), pental minor sixth		* [[8/5]] (814{{c}}), pental minor sixth
	* [[5/3]] (~~884c~~), pental major sixth		* [[5/3]] (884{{c}}), pental major sixth
	* [[9/5]] (~~1018c~~), pental minor seventh		* [[9/5]] (1018{{c}}), pental minor seventh

	Pental major/minor intervals are found in diatonic sales where the fifth is tuned slightly flat of just. If these intervals are interpreted as the 5-limit, the result is [[meantone]] temperament. For a given [[neutral]] interval ''k'' in cents, the pental major quality ranges from around k+24 to k+43, and the pental minor quality ranges from around k-43 to k-24.		Pental major/minor intervals are found in diatonic sales where the fifth is tuned slightly flat of just. If these intervals are interpreted as the 5-limit, the result is [[meantone]] temperament. For a given [[neutral]] interval ''k'' in cents, the pental major quality ranges from around {{nowrap\|''k'' + 24}} to {{nowrap\|''k'' + 43}}, and the pental minor quality ranges from around {{nowrap\|''k'' − 43}} to {{nowrap\|''k'' − 24}}.

	Optionally, the category of pental may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:		Optionally, the category of pental may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:

	* '''Magimajor''' and '''magiminor''', for thirds, range between about 375-382 and ~~320-327 cents~~, respectively. These are flat of the 5-limit thirds, and appear in 5-limit temperaments where the chromatic semitone 25/24 is tempered narrow, like in [[garibaldi]], [[magic]] (hence the name), or the minor third in [[flattone]]. Magimajor seconds range from ~~171-178 cents~~, and thus contain the upper part of the "equable heptatonic" region. For a given [[neutral]] interval ''k'' in cents, the magimajor version is found at around k+28, and the magiminor version is found at around k-28.		* '''Magimajor''' and '''magiminor''', for thirds, range between about 375-382 and 320–327{{c}}, respectively. These are flat of the 5-limit thirds, and appear in 5-limit temperaments where the chromatic semitone 25/24 is tempered narrow, like in [[garibaldi]], [[magic]] (hence the name), or the minor third in [[flattone]]. Magimajor seconds range from 171–178{{c}}, and thus contain the upper part of the "equable heptatonic" region. For a given [[neutral]] interval ''k'' in cents, the magimajor version is found at around {{nowrap\|''k'' + 28}}, and the magiminor version is found at around {{nowrap\|''k'' − 28}}.
	* '''Pentamajor''' and '''pentaminor''', for thirds, range between about 382-394 and ~~308-320 cents~~, respectively. These are the regions containing 5-limit intervals. Pentamajor seconds range from ~~178-190 cents~~. For a given [[neutral]] interval ''k'' in cents, the pentamajor version is found at around k+35, and the pentaminor version is found at around k-35.		* '''Pentamajor''' and '''pentaminor''', for thirds, range between about 382-394 and 308–320{{c}}, respectively. These are the regions containing 5-limit intervals. Pentamajor seconds range from 178–190{{c}}. For a given [[neutral]] interval ''k'' in cents, the pentamajor version is found at around {{nowrap\|''k'' + 35}}, and the pentaminor version is found at around {{nowrap\|''k'' − 35}}.

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

VectorGraphics at 21:15, 2 June 2025

2025-06-02T21:15:46Z

← Older revision		Revision as of 21:15, 2 June 2025
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	* '''Magimajor''' and '''magiminor''', for thirds, range between about 375-382 and 320-327 cents, respectively. These are flat of the 5-limit thirds, and appear in 5-limit temperaments where the chromatic semitone 25/24 is tempered narrow, like in [[garibaldi]], [[magic]] (hence the name), or the minor third in [[flattone]]. Magimajor seconds range from 171-178 cents, and thus contain the upper part of the "equable heptatonic" region. For a given [[neutral]] interval ''k'' in cents, the magimajor version is found at around k+28, and the magiminor version is found at around k-28.		* '''Magimajor''' and '''magiminor''', for thirds, range between about 375-382 and 320-327 cents, respectively. These are flat of the 5-limit thirds, and appear in 5-limit temperaments where the chromatic semitone 25/24 is tempered narrow, like in [[garibaldi]], [[magic]] (hence the name), or the minor third in [[flattone]]. Magimajor seconds range from 171-178 cents, and thus contain the upper part of the "equable heptatonic" region. For a given [[neutral]] interval ''k'' in cents, the magimajor version is found at around k+28, and the magiminor version is found at around k-28.
	* '''Pentamajor''' and '''pentaminor''', for thirds, range between about 382-394 and 308-320 cents, respectively. These are the regions containing 5-limit intervals. Pentamajor seconds range from 178-190 cents. For a given [[neutral]] interval ''k'' in cents, the pentamajor version is found at around k+35, and the pentaminor version is found at around k-35.		* '''Pentamajor''' and '''pentaminor''', for thirds, range between about 382-394 and 308-320 cents, respectively. These are the regions containing 5-limit intervals. Pentamajor seconds range from 178-190 cents. For a given [[neutral]] interval ''k'' in cents, the pentamajor version is found at around k+35, and the pentaminor version is found at around k-35.
			{{Navbox intervals}}
	~~== See also ==~~		*

	* [[Neutral (interval quality)]] - halfway between major and minor
	* [[Submajor and supraminor]] - roughly 10 to 24 cents sharp or flat of neutral
	* [[Novamajor and novaminor]] - roughly 43 to 60 cents sharp or flat of neutral
	* [[Neogothic major and minor]] - roughly 60 to 78 cents sharp or flat of neutral
	* [[Supermajor and subminor]] - roughly 78 to 95 cents sharp or flat of neutral
	* ~~[[Ultramajor and inframinor]] - more extreme than 95 cents sharp or flat of neutral~~

VectorGraphics at 20:49, 2 June 2025

2025-06-02T20:49:09Z

← Older revision		Revision as of 20:49, 2 June 2025
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	''This article is about the interval quality. For 5-limit major and minor intervals, see [[5/4]], [[6/5]], [[8/5]], and [[5/3]]. For other uses of "pental", see [[Perfect fifth]] and [[5-limit]].''		''This article is about the interval quality. For 5-limit major and minor intervals, see [[5/4]], [[6/5]], [[8/5]], and [[5/3]]. For other uses of "pental", see [[Perfect fifth]] and [[5-limit]].''

	'''Pental major''' intervals are an interval quality denoting tunings close to ptolemaic major intervals. They are sharper than submajor intervals and flatter than novamajor intervals. Likewise, '''pental minor''' intervals are an interval quality denoting tunings close to ptolemaic minor intervals. They are sharper than novaminor intervals and flatter than supraminor intervals. Pental major ~~intervals~~ range from about 375 to 394 cents, and pental minor ~~intervals~~ range from about 308 to 327 cents.		'''Pental major''' intervals are an interval quality denoting tunings close to ptolemaic major intervals. They are sharper than submajor intervals and flatter than novamajor intervals. Likewise, '''pental minor''' intervals are an interval quality denoting tunings close to ptolemaic minor intervals. They are sharper than novaminor intervals and flatter than supraminor intervals. Pental major thirds range from about 375 to 394 cents, and pental minor thirds range from about 308 to 327 cents.

	Common pental major/minor intervals can be found as simple 5-limit intervals, and include:		Common pental major/minor intervals can be found as simple 5-limit intervals, and include:

VectorGraphics at 20:14, 2 June 2025

2025-06-02T20:14:24Z

← Older revision		Revision as of 20:14, 2 June 2025
Line 22:		Line 22:

	* [[Neutral (interval quality)]] - halfway between major and minor		* [[Neutral (interval quality)]] - halfway between major and minor
	* [[Submajor and supraminor]] - roughly 15 to 24 cents sharp or flat of neutral		* [[Submajor and supraminor]] - roughly 10 to 24 cents sharp or flat of neutral
	* [[Novamajor and novaminor]] - roughly 43 to 60 cents sharp or flat of neutral		* [[Novamajor and novaminor]] - roughly 43 to 60 cents sharp or flat of neutral
	* [[Neogothic major and minor]] - roughly 60 to 78 cents sharp or flat of neutral		* [[Neogothic major and minor]] - roughly 60 to 78 cents sharp or flat of neutral
	* [[Supermajor and subminor]] - roughly 78 to 95 cents sharp or flat of neutral		* [[Supermajor and subminor]] - roughly 78 to 95 cents sharp or flat of neutral
	* [[Ultramajor and inframinor]] - more extreme than 95 cents sharp or flat of neutral		* [[Ultramajor and inframinor]] - more extreme than 95 cents sharp or flat of neutral