25/24 - Revision history

Hotcrystal0: correcting this

2026-03-18T20:31:18Z

correcting this

← Older revision		Revision as of 20:31, 18 March 2026
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	== Approximation ==		== Approximation ==
	25/24 is very accurately approximated by [[17edo]]'s 1\17 (70.588{{cent}}), though 17edo does not represent it as such, actually [[tempering out]] 25/24 by [[patent val]] (though [[34edo]] represents it as 1\17 consistently). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.~~428~~{{cent}} in size.		25/24 is very accurately approximated by [[17edo]]'s 1\17 (70.588{{cent}}), though 17edo does not represent it as such, actually [[tempering out]] 25/24 by [[patent val]] (though [[34edo]] represents it as 1\17 consistently). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.431{{cent}} in size.
	{{Interval edo approximation\|25/24}}		{{Interval edo approximation\|25/24}}
	== Temperaments ==		== Temperaments ==

Hstraub: Link to German

2026-02-16T11:08:15Z

Link to German

← Older revision		Revision as of 11:08, 16 February 2026
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			{{interwiki
			\| de = 25/24
			\| en = 25/24
			\| es =
			\| ja =
			}}
	{{Infobox Interval		{{Infobox Interval
	\| Name = just chromatic semitone, classic(al) chromatic semitone, diptolemaic chromatic semitone, dicot comma		\| Name = just chromatic semitone, classic(al) chromatic semitone, diptolemaic chromatic semitone, dicot comma

Overthink: note consistent representation as 1\17

2026-01-12T06:23:09Z

note consistent representation as 1\17

← Older revision		Revision as of 06:23, 12 January 2026
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	== Approximation ==		== Approximation ==
	25/24 is very accurately approximated by [[17edo]]'s 1\17 (70.588{{cent}}). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.428{{cent}} in size.		25/24 is very accurately approximated by [[17edo]]'s 1\17 (70.588{{cent}}), though 17edo does not represent it as such, actually [[tempering out]] 25/24 by [[patent val]] (though [[34edo]] represents it as 1\17 consistently). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.428{{cent}} in size.
	{{Interval edo approximation\|25/24}}		{{Interval edo approximation\|25/24}}
	== Temperaments ==		== Temperaments ==

Overthink: /* Temperaments */ note exotemperament

2025-12-30T09:47:41Z

Temperaments: note exotemperament

← Older revision		Revision as of 09:47, 30 December 2025
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	{{Interval edo approximation\|25/24}}		{{Interval edo approximation\|25/24}}
	== Temperaments ==		== Temperaments ==
	If 25/24 is treated as a comma to be tempered out, it may be called the '''dicot comma'''. Doing so leads to the [[dicot]] ~~temperament~~, where the distinction between 5-limit major and minor thirds are removed and there is only a single neutral interval functioning as both, as in [[7edo]], [[10edo]], and [[17edo]]. See [[dicot family]] for the rank-2 family where it is tempered out.		If 25/24 is treated as a comma to be tempered out, it may be called the '''dicot comma'''. Doing so leads to the [[dicot]] [[exotemperament]], where the distinction between 5-limit major and minor thirds are removed and there is only a single neutral interval functioning as both, as in [[7edo]], [[10edo]], and [[17edo]]. See [[dicot family]] for the rank-2 family where it is tempered out.

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

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

2025-11-03T13:14:06Z

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

← Older revision		Revision as of 13:14, 3 November 2025
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	== Approximation ==		== Approximation ==
	25/24 is very accurately approximated by [[17edo]]'s 1\17 (70.588{{cent}}). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.428{{cent}} in size.		25/24 is very accurately approximated by [[17edo]]'s 1\17 (70.588{{cent}}). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.428{{cent}} in size.
	{{~~Interval_Edo_Approximation~~ \| 25/24}}		{{Interval edo approximation\|25/24}}
	== Temperaments ==		== Temperaments ==
	If 25/24 is treated as a comma to be tempered out, it may be called the '''dicot comma'''. Doing so leads to the [[dicot]] temperament, where the distinction between 5-limit major and minor thirds are removed and there is only a single neutral interval functioning as both, as in [[7edo]], [[10edo]], and [[17edo]]. See [[dicot family]] for the rank-2 family where it is tempered out.		If 25/24 is treated as a comma to be tempered out, it may be called the '''dicot comma'''. Doing so leads to the [[dicot]] temperament, where the distinction between 5-limit major and minor thirds are removed and there is only a single neutral interval functioning as both, as in [[7edo]], [[10edo]], and [[17edo]]. See [[dicot family]] for the rank-2 family where it is tempered out.

Pailiaq at 06:06, 3 November 2025

2025-11-03T06:06:13Z

← Older revision		Revision as of 06:06, 3 November 2025
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	== Approximation ==		== Approximation ==
	25/24 is very accurately approximated by [[17edo]]'s 1\17 (70.588{{cent}}). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.428{{cent}} in size.		25/24 is very accurately approximated by [[17edo]]'s 1\17 (70.588{{cent}}). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.428{{cent}} in size.
			{{Interval_Edo_Approximation \| 25/24}}
	== Temperaments ==		== Temperaments ==
	If 25/24 is treated as a comma to be tempered out, it may be called the '''dicot comma'''. Doing so leads to the [[dicot]] temperament, where the distinction between 5-limit major and minor thirds are removed and there is only a single neutral interval functioning as both, as in [[7edo]], [[10edo]], and [[17edo]]. See [[dicot family]] for the rank-2 family where it is tempered out.		If 25/24 is treated as a comma to be tempered out, it may be called the '''dicot comma'''. Doing so leads to the [[dicot]] temperament, where the distinction between 5-limit major and minor thirds are removed and there is only a single neutral interval functioning as both, as in [[7edo]], [[10edo]], and [[17edo]]. See [[dicot family]] for the rank-2 family where it is tempered out.

Fredg999: Remove red link

2025-08-04T06:00:58Z

Remove red link

← Older revision		Revision as of 06:00, 4 August 2025
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	* [[48/25]] – its [[octave complement]]		* [[48/25]] – its [[octave complement]]
	* [[Sqrt(25/24)]] – its exact half		* [[Sqrt(25/24)]] – its exact half
	* [[1ed25/24]] - its equal multiplication
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Medium comma]]		* [[Medium comma]]

VectorGraphics at 11:53, 3 June 2025

2025-06-03T11:53:18Z

← Older revision		Revision as of 11:53, 3 June 2025
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	== Temperaments ==		== Temperaments ==
	If 25/24 is treated as a comma to be tempered out, it may be called the '''dicot comma'''. Doing so leads to the [[dicot]] temperament, where the distinction between major and minor thirds are removed and there is only a single neutral interval functioning as both, as in [[7edo]] and [[~~10edo~~]]. See [[dicot family]] for the rank-2 family where it is tempered out.		If 25/24 is treated as a comma to be tempered out, it may be called the '''dicot comma'''. Doing so leads to the [[dicot]] temperament, where the distinction between 5-limit major and minor thirds are removed and there is only a single neutral interval functioning as both, as in [[7edo]], [[10edo]], and [[17edo]]. See [[dicot family]] for the rank-2 family where it is tempered out.

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

FloraC: -27/25 vs 9/8: not a difference between HC5 interval

2025-04-16T13:47:42Z

-27/25 vs 9/8: not a difference between HC5 interval

← Older revision		Revision as of 13:47, 16 April 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
			'''25/24''', the '''just chromatic semitone''', '''classic(al) chromatic semitone''' or '''diptolemaic chromatic semitone''', 70.672{{cent}}, is the [[superparticular]] ratio which marks the difference between the [[5-limit]] seconds, [[16/15]] and [[10/9]], thirds, [[6/5]] and [[5/4]], sixths, [[8/5]] and [[5/3]], and sevenths, [[9/5]] and [[15/8]]. It is therefore the amount which sharpens or flattens a 5-limit second, third, sixth, or seventh, and when notating 5-limit just intonation it can be associated with the sharp or flat symbol, and along with an additional symbol for the [[81/80]] comma, it can be used for a complete system of [[5-limit]] notation as an extension of diatonic.
	'''25/24''', the '''just chromatic semitone''', '''classic(al) chromatic semitone''' or '''diptolemaic chromatic semitone''', 70.672{{cent}}, is the [[superparticular]] ratio which marks the difference between the [[5-limit]] seconds, [[16/15]] and [[10/9~~]], [[27/25]] and [[9/8~~]], thirds, [[6/5]] and [[5/4]], sixths, [[8/5]] and [[5/3]], and sevenths, ~~[[16/9]] and [[50/27]], and~~ [[9/5]] and [[15/8]] . It is therefore the amount which sharpens or flattens a 5-limit second, third, sixth, or seventh, and when notating 5-limit just intonation it can be associated with the sharp or flat symbol, and along with an additional symbol for the [[81/80]] comma, it can be used for a complete system of [[5-limit]] notation as an extension of diatonic.

	== Approximation ==		== Approximation ==
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	* [[Medium comma]]		* [[Medium comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]
	* [[Chromatic semitone]] – a generalising concept for the [[diatonic]] scale		* [[Chromatic semitone]] – a generalising concept for the [[5L 2s\|diatonic]] scale
	* [[Chroma]] – a generalising concept for all [[mos]] scales		* [[Chroma]] – a generalising concept for all [[mos]] scales

VectorGraphics at 08:26, 16 April 2025

2025-04-16T08:26:48Z

← Older revision		Revision as of 08:26, 16 April 2025
Line 6:		Line 6:
	}}		}}

	'''25/24''', the '''just chromatic semitone''', '''classic(al) chromatic semitone''' or '''diptolemaic chromatic semitone''', 70.672{{cent}}, is the [[superparticular]] ratio which marks the difference between the [[5-limit]] seconds, [[16/15]] and [[10/9]], [[27/25]] and [[9/8]], thirds, [[6/5]] and [[5/4]], sixths, [[8/5]] and [[5/3]], and sevenths, [[16/9]] and [[50/27]], and [[9/5]] and [[15/8]] . It is therefore the amount which sharpens or flattens a 5-limit second, third, sixth, or seventh, and when notating 5-limit just intonation it can be associated with the sharp or flat symbol, and along with an additional symbol for the [[81/80]] comma, it can be used for a complete system of [[5-limit]] notation.		'''25/24''', the '''just chromatic semitone''', '''classic(al) chromatic semitone''' or '''diptolemaic chromatic semitone''', 70.672{{cent}}, is the [[superparticular]] ratio which marks the difference between the [[5-limit]] seconds, [[16/15]] and [[10/9]], [[27/25]] and [[9/8]], thirds, [[6/5]] and [[5/4]], sixths, [[8/5]] and [[5/3]], and sevenths, [[16/9]] and [[50/27]], and [[9/5]] and [[15/8]] . It is therefore the amount which sharpens or flattens a 5-limit second, third, sixth, or seventh, and when notating 5-limit just intonation it can be associated with the sharp or flat symbol, and along with an additional symbol for the [[81/80]] comma, it can be used for a complete system of [[5-limit]] notation as an extension of diatonic.

	== Approximation ==		== Approximation ==