Magic comma - Revision history

Godtone: typo

2025-03-19T22:24:46Z

typo

← Older revision		Revision as of 22:24, 19 March 2025
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	The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3, the amount by which two chromatic semitones of 25/24 exceed a diatonic semitone of 16/15, and the amount by which 25/24 exceeds the lesser diesis of [[128/125]].		The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3, the amount by which two chromatic semitones of 25/24 exceed a diatonic semitone of 16/15, and the amount by which 25/24 exceeds the lesser diesis of [[128/125]].

	In 12edo, instead of being tempered out, it is inflated to a whole semitone—five 5/4s make a minor thirteenth (20 steps), while 3/1 is a perfect ~~tweltfth~~ (19 steps). Similarly, 25/24 and 16/15 are both mapped to one semitone, making a stack of two 25/24s one semitone larger than 16/15, and 25/24 is mapped to one step while 128/125 is tempered out.		In 12edo, instead of being tempered out, it is inflated to a whole semitone—five 5/4s make a minor thirteenth (20 steps), while 3/1 is a perfect twelfth (19 steps). Similarly, 25/24 and 16/15 are both mapped to one semitone, making a stack of two 25/24s one semitone larger than 16/15, and 25/24 is mapped to one step while 128/125 is tempered out.

	== Temperaments ==		== Temperaments ==

BudjarnLambeth at 08:52, 3 November 2024

2024-11-03T08:52:28Z

← Older revision		Revision as of 08:52, 3 November 2024
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	[[Category:Magic]]		[[Category:Magic]]
			[[Category:Commas named for their regular temperament properties]]

ArrowHead294 at 12:53, 17 April 2024

2024-04-17T12:53:10Z

← Older revision		Revision as of 12:53, 17 April 2024
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	}}		}}

	The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3, ~~and is also~~ the amount by which two chromatic semitones of 25/24 exceed a diatonic semitone of 16/15.		The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3, the amount by which two chromatic semitones of 25/24 exceed a diatonic semitone of 16/15, and the amount by which 25/24 exceeds the lesser diesis of [[128/125]].

	In 12edo, instead of being tempered out, it is inflated to a whole semitone—five 5/4s make a minor thirteenth (20 steps), while 3/1 is a perfect tweltfth (19 steps).		In 12edo, instead of being tempered out, it is inflated to a whole semitone—five 5/4s make a minor thirteenth (20 steps), while 3/1 is a perfect tweltfth (19 steps). Similarly, 25/24 and 16/15 are both mapped to one semitone, making a stack of two 25/24s one semitone larger than 16/15, and 25/24 is mapped to one step while 128/125 is tempered out.

	== Temperaments ==		== Temperaments ==

ArrowHead294 at 02:00, 17 March 2024

2024-03-17T02:00:05Z

← Older revision		Revision as of 02:00, 17 March 2024
Line 6:		Line 6:
	}}		}}

	The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3.		The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3, and is also the amount by which two chromatic semitones of 25/24 exceed a diatonic semitone of 16/15.

	In 12edo, instead of being tempered out, it~~'s blown up~~ to a whole ~~semitone - five~~ 5/4s make a minor thirteenth (20 steps), while 3/1 is a perfect tweltfth (19 steps).		In 12edo, instead of being tempered out, it is inflated to a whole semitone—five 5/4s make a minor thirteenth (20 steps), while 3/1 is a perfect tweltfth (19 steps).

	== Temperaments ==		== Temperaments ==

Plumtree: Normalising usage of Infobox Interval

2022-10-25T17:44:36Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:44, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| JI glyph =~~
	\| Ratio = 3125/3072		\| Ratio = 3125/3072
	~~\| Monzo = -10 -1 5~~		\| Name = magic comma, small diesis
	~~\| Cents = 29.61357~~
	\| Name = magic comma, ~~<br>~~small diesis
	\| Color name = Ly<sup>5</sup>-2, Laquinyo comma		\| Color name = Ly<sup>5</sup>-2, Laquinyo comma
	\| ~~FJS name =~~		\| Comma = yes
	~~\| Sound~~ =
	}}		}}

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	* [[Small comma]]		* [[Small comma]]

	~~[[Category:5-limit]]~~
	~~[[Category:Small commas]]~~
	~~[[Category:Medium commas]]~~
	[[Category:Magic]]		[[Category:Magic]]

TallKite: small correction - it's not unique that a small comma maps to 100¢ in 12-edo.

2022-05-26T18:18:40Z

small correction - it's not unique that a small comma maps to 100¢ in 12-edo.

← Older revision		Revision as of 18:18, 26 May 2022
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	The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3.		The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3.

	~~It's unique in the fact that in~~ 12edo, instead of being tempered out, it's blown up to a whole semitone - five 5/4s make a minor thirteenth (20 steps), while 3/1 is a perfect tweltfth (19 steps).		In 12edo, instead of being tempered out, it's blown up to a whole semitone - five 5/4s make a minor thirteenth (20 steps), while 3/1 is a perfect tweltfth (19 steps).

	== Temperaments ==		== Temperaments ==

Gud2228 at 21:38, 25 May 2022

2022-05-25T21:38:26Z

← Older revision		Revision as of 21:38, 25 May 2022
Line 12:		Line 12:
	The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3.		The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3.

	It's unique in the fact that in 12edo, instead of being tempered out, it's blown up to a whole semitone - ~~six~~ 5/4s make a minor thirteenth (20 steps), while 3/1 is a perfect tweltfth (19 steps).		It's unique in the fact that in 12edo, instead of being tempered out, it's blown up to a whole semitone - five 5/4s make a minor thirteenth (20 steps), while 3/1 is a perfect tweltfth (19 steps).

	== Temperaments ==		== Temperaments ==

Gud2228 at 21:37, 25 May 2022

2022-05-25T21:37:04Z

← Older revision		Revision as of 21:37, 25 May 2022
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	The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3.		The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3.

	It's unique in the fact that in 12edo, instead of being tempered out, it's blown up to a whole semitone - six 5/4s make a minor ~~sixth~~ (20 steps), while 3/1 is a perfect tweltfth (19 steps).		It's unique in the fact that in 12edo, instead of being tempered out, it's blown up to a whole semitone - six 5/4s make a minor thirteenth (20 steps), while 3/1 is a perfect tweltfth (19 steps).

	== Temperaments ==		== Temperaments ==

Gud2228 at 21:36, 25 May 2022

2022-05-25T21:36:35Z

← Older revision		Revision as of 21:36, 25 May 2022
Line 10:		Line 10:
	}}		}}

	The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3.		The '''magic comma''' or '''small diesis''' is the interval '''3125/3072'''. It is the amount by which five major thirds ([[5/4]]) exceeds the twelfth, or ''[[tritave]]''; in other words (5/4)<sup>5</sup>/3.

			It's unique in the fact that in 12edo, instead of being tempered out, it's blown up to a whole semitone - six 5/4s make a minor sixth (20 steps), while 3/1 is a perfect tweltfth (19 steps).

	== Temperaments ==		== Temperaments ==

Fredg999 category edits: Moving from Category:Small comma to Category:Small commas using Cat-a-lot

2022-03-20T21:59:59Z

Moving from Category:Small comma to Category:Small commas using Cat-a-lot

← Older revision		Revision as of 21:59, 20 March 2022
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	[[Category:5-limit]]		[[Category:5-limit]]
	[[Category:Small ~~comma~~]]		[[Category:Small commas]]
	[[Category:Medium commas]]		[[Category:Medium commas]]
	[[Category:Magic]]		[[Category:Magic]]