28/25 - Revision history

Lucius Chiaraviglio: 55edo directly approximates this very closely, but maps it inconsistently

2026-06-02T02:27:56Z

55edo directly approximates this very closely, but maps it inconsistently

← Older revision		Revision as of 02:27, 2 June 2026
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	\| Sound = jid_28_25_pluck_adu_dr220.mp3		\| Sound = jid_28_25_pluck_adu_dr220.mp3
	}}		}}
	'''28/25''', the '''(septimal) middle whole tone''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], of which it is [[126/125]] sharp, and [[9/8]], of which it is [[225/224]] flat. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099{{cent}}, which is closely approximated by [[55edo]].		'''28/25''', the '''(septimal) middle whole tone''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], of which it is [[126/125]] sharp, and [[9/8]], of which it is [[225/224]] flat. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099{{cent}}, which is closely approximated by [[55edo]] (however, 55edo in its patent val maps this interval inconsistently to 8\55 instead of 9\55; 55d is required for proper mapping).

	== Approximation ==		== Approximation ==
	{{Interval edo approximation\|28/25}}		{{Interval edo approximation\|28/25}}

FloraC: Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

2025-11-03T13:03:42Z

Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

← Older revision		Revision as of 13:03, 3 November 2025
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	'''28/25''', the '''(septimal) middle whole tone''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], of which it is [[126/125]] sharp, and [[9/8]], of which it is [[225/224]] flat. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099{{cent}}, which is closely approximated by [[55edo]].		'''28/25''', the '''(septimal) middle whole tone''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], of which it is [[126/125]] sharp, and [[9/8]], of which it is [[225/224]] flat. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099{{cent}}, which is closely approximated by [[55edo]].
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 28/25}}		{{Interval edo approximation\|28/25}}
	== See also ==		== See also ==
	* [[25/14]] – its [[octave complement]]		* [[25/14]] – its [[octave complement]]

Pailiaq at 06:54, 3 November 2025

2025-11-03T06:54:41Z

← Older revision		Revision as of 06:54, 3 November 2025
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	}}		}}
	'''28/25''', the '''(septimal) middle whole tone''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], of which it is [[126/125]] sharp, and [[9/8]], of which it is [[225/224]] flat. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099{{cent}}, which is closely approximated by [[55edo]].		'''28/25''', the '''(septimal) middle whole tone''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], of which it is [[126/125]] sharp, and [[9/8]], of which it is [[225/224]] flat. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099{{cent}}, which is closely approximated by [[55edo]].
			== Approximation ==
			{{Interval_Edo_Approximation \| 28/25}}
	== See also ==		== See also ==
	* [[25/14]] – its [[octave complement]]		* [[25/14]] – its [[octave complement]]

Lériendil at 12:38, 9 June 2025

2025-06-09T12:38:42Z

← Older revision		Revision as of 12:38, 9 June 2025
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	\| Sound = jid_28_25_pluck_adu_dr220.mp3		\| Sound = jid_28_25_pluck_adu_dr220.mp3
	}}		}}
	'''28/25''', the '''(septimal) middle whole tone''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], of which it is [[126/125]] sharp, and [[9/8]], of which it is [[225/224]] flat. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099{{cent}}.		'''28/25''', the '''(septimal) middle whole tone''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], of which it is [[126/125]] sharp, and [[9/8]], of which it is [[225/224]] flat. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099{{cent}}, which is closely approximated by [[55edo]].

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

Aura at 18:13, 1 January 2025

2025-01-01T18:13:52Z

← Older revision		Revision as of 18:13, 1 January 2025
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	== See also ==		== See also ==
	* [[25/14]] – its [[octave complement]]		* [[25/14]] – its [[octave complement]]
			* [[25/21]] – its [[fourth complement]]
	* [[29/26]] – a co-mediant interval		* [[29/26]] – a co-mediant interval
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T14:46:22Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:46, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 28/25~~		\| Name = (septimal) middle major second, (septimal) middle whole tone
	~~\| Monzo = 2 0 -2 1~~
	~~\| Cents = 196.19848~~
	\| Name = (septimal) middle major second ~~<br>~~ (septimal) middle whole tone
	\| Color name = zgg3, zogugu 3rd		\| Color name = zgg3, zogugu 3rd
	\| Sound = jid_28_25_pluck_adu_dr220.mp3		\| Sound = jid_28_25_pluck_adu_dr220.mp3
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	* [[25-odd-limit]]		* [[25-odd-limit]]

	~~[[Category:7-limit]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Whole tone]]		[[Category:Whole tone]]

Fredg999: Added (septimal) to name according to 25-odd-limit, misc. edits, categories

2022-03-22T14:10:13Z

Added (septimal) to name according to 25-odd-limit, misc. edits, categories

← Older revision		Revision as of 14:10, 22 March 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 28/25		\| Ratio = 28/25
	\| Monzo = 2 0 -2 1		\| Monzo = 2 0 -2 1
	\| Cents = 196.19848		\| Cents = 196.19848
	\| Name = middle major second <br> middle whole tone		\| Name = (septimal) middle major second <br> (septimal) middle whole tone
	\| Color name = zgg3, zogugu 3rd		\| Color name = zgg3, zogugu 3rd
	\| Sound = jid_28_25_pluck_adu_dr220.mp3		\| Sound = jid_28_25_pluck_adu_dr220.mp3
	}}		}}
			'''28/25''', the '''(septimal) middle whole tone''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], of which it is [[126/125]] sharp, and [[9/8]], of which it is [[225/224]] flat. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099{{cent}}.
	~~The~~ '''~~middle whole tone~~''', '''~~28/25~~''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], which it is [[126/125]] sharp of, and [[9/8]], which it is 225/224 flat of. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size ~~2 √14~~/5, or 698.099 ~~cents~~.

	== See also ==		== See also ==
			* [[25/14]] – its [[octave complement]]
	* [[25/14]] – its octave complement
	* [[29/26]] – a co-mediant interval		* [[29/26]] – a co-mediant interval
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
			* [[25-odd-limit]]

	[[Category:7-limit]]		[[Category:7-limit]]
	~~[[Category:Interval ratio]]~~
	~~[[Category:Just interval]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Whole tone]]		[[Category:Whole tone]]

Fredg999 category edits: Removing from Category:Listen using Cat-a-lot

2022-02-22T23:51:31Z

Removing from Category:Listen using Cat-a-lot

← Older revision		Revision as of 23:51, 22 February 2022
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	[[Category:Interval ratio]]		[[Category:Interval ratio]]
	[[Category:Just interval]]		[[Category:Just interval]]
	~~[[Category:Listen]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Whole tone]]		[[Category:Whole tone]]

TallKite: added the color name

2022-02-13T05:28:10Z

added the color name

← Older revision		Revision as of 05:28, 13 February 2022
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	\| Cents = 196.19848		\| Cents = 196.19848
	\| Name = middle major second <br> middle whole tone		\| Name = middle major second <br> middle whole tone
	\| Color name =		\| Color name = zgg3, zogugu 3rd
	\| Sound = jid_28_25_pluck_adu_dr220.mp3		\| Sound = jid_28_25_pluck_adu_dr220.mp3
	}}		}}

Xenllium at 01:20, 21 March 2021

2021-03-21T01:20:08Z

← Older revision		Revision as of 01:20, 21 March 2021
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	\| Monzo = 2 0 -2 1		\| Monzo = 2 0 -2 1
	\| Cents = 196.19848		\| Cents = 196.19848
	\| Name = middle major second		\| Name = middle major second <br> middle whole tone
	\| Color name =		\| Color name =
	\| Sound = jid_28_25_pluck_adu_dr220.mp3		\| Sound = jid_28_25_pluck_adu_dr220.mp3
	}}		}}

	The '''middle ~~second~~''', '''28/25''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], which it is [[126/125]] sharp of, and [[9/8]], which it is 225/224 flat of. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2 √14/5, or 698.099 cents.		The '''middle whole tone''', '''28/25''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], which it is [[126/125]] sharp of, and [[9/8]], which it is 225/224 flat of. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2 √14/5, or 698.099 cents.

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