Magus comma - Revision history

BudjarnLambeth at 08:08, 3 November 2024

2024-11-03T08:08:54Z

← Older revision		Revision as of 08:08, 3 November 2024
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	* [[Würschmidt comma]]		* [[Würschmidt comma]]
	* [[Magic comma]]		* [[Magic comma]]

			[[Category:Commas with unknown etymology]]

FloraC: Style

2024-10-07T19:38:47Z

Style

← Older revision		Revision as of 19:38, 7 October 2024
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	\| Ratio = 50331648/48828125		\| Ratio = 50331648/48828125
	\| Monzo = 24 1 -11		\| Monzo = 24 1 -11
	\| Name = ~~Magus~~ comma		\| Name = magus comma
	\| Color name = salegu 4th, sg<sup>11</sup>4		\| Color name = salegu 4th, sg<sup>11</sup>4
	\| Comma = yes		\| Comma = yes
	}}		}}

	The '''~~Magus~~ comma''' ([[ratio]]: 50331648/48828125, {{monzo\|legend=1\| 24 1 -11 }}) is a [[medium comma\|medium]] [[5-limit]] [[comma]], which is the difference between:		The '''magus comma''' ([[ratio]]: 50331648/48828125, {{monzo\|legend=1\| 24 1 -11 }}) is a [[medium comma\|medium]] [[5-limit]] [[comma]], which is the difference between:

	* four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]]: (16/15)<sup>3</sup>/(25/24)<sup>4</sup>,		* four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]]: (16/15)<sup>3</sup>/(25/24)<sup>4</sup>,
Line 15:		Line 15:

	== Temperaments ==		== Temperaments ==
	Tempering it out leads to the [[~~Magus~~]] and [[~~Amigo~~]] temperaments.		Tempering out this comma leads to the [[magus]] and [[amigo]] temperaments.

	== See also ==		== See also ==
	* [[Würschmidt comma]]		* [[Würschmidt comma]]
	* [[Magic comma]]		* [[Magic comma]]

BudjarnLambeth: Not a stub, appropriate length for the topic

2024-10-07T01:05:44Z

Not a stub, appropriate length for the topic

← Older revision		Revision as of 01:05, 7 October 2024
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	~~{{stub}}~~
	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 50331648/48828125		\| Ratio = 50331648/48828125

Godtone: prettify/make less stubbish

2024-06-29T20:58:29Z

prettify/make less stubbish

← Older revision		Revision as of 20:58, 29 June 2024
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	* the [[15/8\|classic major seventh (15/8)]] and twelve classic major thirds, octave-reduced: 15/(5/4)<sup>12</sup>.		* the [[15/8\|classic major seventh (15/8)]] and twelve classic major thirds, octave-reduced: 15/(5/4)<sup>12</sup>.

			== Temperaments ==
	Tempering it out leads to the [[Magus]] and [[Amigo]] temperaments.		Tempering it out leads to the [[Magus]] and [[Amigo]] temperaments.

			== See also ==
			* [[Würschmidt comma]]
			* [[Magic comma]]

ArrowHead294 at 17:24, 29 June 2024

2024-06-29T17:24:26Z

← Older revision		Revision as of 17:24, 29 June 2024
Line 11:		Line 11:

	* four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]]: (16/15)<sup>3</sup>/(25/24)<sup>4</sup>,		* four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]]: (16/15)<sup>3</sup>/(25/24)<sup>4</sup>,
	* three [[128/125\|lesser dieses (128/125)]] and a classic chromatic semitone: (128/125)<sup>3</sup>/(25/24), and		* three [[128/125\|lesser dieses (128/125)]] and a classic chromatic semitone: (128/125)<sup>3</sup>/(25/24),
	* the [[15/8\|classic major seventh (15/8)]] and twelve ~~[[5/4\|~~classic major thirds ~~(5/4)]]~~, octave-reduced: 15/(5/4)<sup>12</sup>.		* a perfect fifth ([[3/2]]) and eleven [[5/4\|classic major thirds (5/4)]], octave-reduced: 12/(5/4)<sup>11</sup>, and
			* the [[15/8\|classic major seventh (15/8)]] and twelve classic major thirds, octave-reduced: 15/(5/4)<sup>12</sup>.

	Tempering it out leads to the [[Magus]] and [[Amigo]] temperaments.		Tempering it out leads to the [[Magus]] and [[Amigo]] temperaments.

ArrowHead294 at 16:33, 1 June 2024

2024-06-01T16:33:35Z

← Older revision		Revision as of 16:33, 1 June 2024
Line 12:		Line 12:
	* four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]]: (16/15)<sup>3</sup>/(25/24)<sup>4</sup>,		* four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]]: (16/15)<sup>3</sup>/(25/24)<sup>4</sup>,
	* three [[128/125\|lesser dieses (128/125)]] and a classic chromatic semitone: (128/125)<sup>3</sup>/(25/24), and		* three [[128/125\|lesser dieses (128/125)]] and a classic chromatic semitone: (128/125)<sup>3</sup>/(25/24), and
	* ~~an octave-reduced stack of twelve~~ [[5/4\|classic major ~~thirds~~ (5/4)]] and a [[15/8\|classic major ~~seventh~~ (15/8)]]: 15/(5/4)<sup>12</sup>.		* the [[15/8\|classic major seventh (15/8)]] and twelve [[5/4\|classic major thirds (5/4)]], octave-reduced: 15/(5/4)<sup>12</sup>.

	Tempering it out leads to the [[Magus]] and [[Amigo]] temperaments.		Tempering it out leads to the [[Magus]] and [[Amigo]] temperaments.

ArrowHead294 at 15:10, 1 June 2024

2024-06-01T15:10:49Z

← Older revision		Revision as of 15:10, 1 June 2024
Line 1:		Line 1:
			{{stub}}
	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 50331648/48828125		\| Ratio = 50331648/48828125
Line 13:		Line 14:
	* an octave-reduced stack of twelve [[5/4\|classic major thirds (5/4)]] and a [[15/8\|classic major seventh (15/8)]]: 15/(5/4)<sup>12</sup>.		* an octave-reduced stack of twelve [[5/4\|classic major thirds (5/4)]] and a [[15/8\|classic major seventh (15/8)]]: 15/(5/4)<sup>12</sup>.

	Tempering it out leads to the [[Magus]] ~~temperament~~.		Tempering it out leads to the [[Magus]] and [[Amigo]] temperaments.

ArrowHead294 at 17:49, 29 May 2024

2024-05-29T17:49:18Z

← Older revision		Revision as of 17:49, 29 May 2024
Line 9:		Line 9:
	The '''Magus comma''' ([[ratio]]: 50331648/48828125, {{monzo\|legend=1\| 24 1 -11 }}) is a [[medium comma\|medium]] [[5-limit]] [[comma]], which is the difference between:		The '''Magus comma''' ([[ratio]]: 50331648/48828125, {{monzo\|legend=1\| 24 1 -11 }}) is a [[medium comma\|medium]] [[5-limit]] [[comma]], which is the difference between:

	* four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]], (16/15)<sup>3</sup>/(25/24)<sup>4</sup>,		* four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]]: (16/15)<sup>3</sup>/(25/24)<sup>4</sup>,
	* three [[128/125\|lesser dieses (128/125)]] and a classic chromatic semitone, (128/125)<sup>3</sup>/(25/24), and		* three [[128/125\|lesser dieses (128/125)]] and a classic chromatic semitone: (128/125)<sup>3</sup>/(25/24), and
	* twelve [[5/4\|classic major thirds (5/4)]] and a [[15/8\|classic major seventh (15/8)]], 15/(5/4)<sup>12</sup> ~~(octave-reduced)~~.		* an octave-reduced stack of twelve [[5/4\|classic major thirds (5/4)]] and a [[15/8\|classic major seventh (15/8)]]: 15/(5/4)<sup>12</sup>.

	Tempering it out leads to the [[Magus]] temperament.		Tempering it out leads to the [[Magus]] temperament.

ArrowHead294 at 17:44, 29 May 2024

2024-05-29T17:44:20Z

← Older revision		Revision as of 17:44, 29 May 2024
Line 7:		Line 7:
	}}		}}

	The '''Magus comma''' ([[ratio]]: 50331648/48828125, {{monzo\|legend=1\| 24 1 -11 }}) is a [[medium comma\|medium]] [[5-limit]] [[comma]], which is the difference between ~~a stack of~~ four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]]~~, that is~~, (16/15)^3/(25/24)<sup>4</sup>~~. It is also the difference between~~ three [[128/125\|lesser dieses (128/125)]] and a classic chromatic semitone, or (128/125)^3/(25/24).		The '''Magus comma''' ([[ratio]]: 50331648/48828125, {{monzo\|legend=1\| 24 1 -11 }}) is a [[medium comma\|medium]] [[5-limit]] [[comma]], which is the difference between:

			* four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]], (16/15)<sup>3</sup>/(25/24)<sup>4</sup>,
			* three [[128/125\|lesser dieses (128/125)]] and a classic chromatic semitone, (128/125)<sup>3</sup>/(25/24), and
			* twelve [[5/4\|classic major thirds (5/4)]] and a [[15/8\|classic major seventh (15/8)]], 15/(5/4)<sup>12</sup> (octave-reduced).

	Tempering it out leads to the [[Magus]] temperament.		Tempering it out leads to the [[Magus]] temperament.

ArrowHead294 at 17:01, 29 May 2024

2024-05-29T17:01:44Z

← Older revision		Revision as of 17:01, 29 May 2024
Line 7:		Line 7:
	}}		}}

	The '''Magus comma''' ([[ratio]]: 50331648/48828125, {{monzo\|legend=1\| 24 1 -11 }}) is a [[medium comma\|medium]] [[5-limit]] [[comma]], which is the difference between a stack of four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]], that is, (16/15)^3/(25/24)<sup>4</sup>. It is also the difference between three [[128/125\|lesser dieses (~~!28~~/125)]] and a classic chromatic semitone.		The '''Magus comma''' ([[ratio]]: 50331648/48828125, {{monzo\|legend=1\| 24 1 -11 }}) is a [[medium comma\|medium]] [[5-limit]] [[comma]], which is the difference between a stack of four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]], that is, (16/15)^3/(25/24)<sup>4</sup>. It is also the difference between three [[128/125\|lesser dieses (128/125)]] and a classic chromatic semitone, or (128/125)^3/(25/24).

	Tempering it out leads to the [[Magus]] temperament.		Tempering it out leads to the [[Magus]] temperament.

← Older revision		Revision as of 17:24, 29 June 2024
Line 11:		Line 11:

	* four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]]: (16/15)<sup>3</sup>/(25/24)<sup>4</sup>,		* four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]]: (16/15)<sup>3</sup>/(25/24)<sup>4</sup>,
	* three [[128/125\|lesser dieses (128/125)]] and a classic chromatic semitone: (128/125)<sup>3</sup>/(25/24), and		* three [[128/125\|lesser dieses (128/125)]] and a classic chromatic semitone: (128/125)<sup>3</sup>/(25/24),
	* the [[15/8\|classic major seventh (15/8)]] and twelve ~~[[5/4\|~~classic major thirds ~~(5/4)]]~~, octave-reduced: 15/(5/4)<sup>12</sup>.		* a perfect fifth ([[3/2]]) and eleven [[5/4\|classic major thirds (5/4)]], octave-reduced: 12/(5/4)<sup>11</sup>, and
			* the [[15/8\|classic major seventh (15/8)]] and twelve classic major thirds, octave-reduced: 15/(5/4)<sup>12</sup>.

	Tempering it out leads to the [[Magus]] and [[Amigo]] temperaments.		Tempering it out leads to the [[Magus]] and [[Amigo]] temperaments.

← Older revision		Revision as of 17:49, 29 May 2024
Line 9:		Line 9:
	The '''Magus comma''' ([[ratio]]: 50331648/48828125, {{monzo\|legend=1\| 24 1 -11 }}) is a [[medium comma\|medium]] [[5-limit]] [[comma]], which is the difference between:		The '''Magus comma''' ([[ratio]]: 50331648/48828125, {{monzo\|legend=1\| 24 1 -11 }}) is a [[medium comma\|medium]] [[5-limit]] [[comma]], which is the difference between:

	* four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]], (16/15)<sup>3</sup>/(25/24)<sup>4</sup>,		* four [[25/24\|classic chromatic semitones (25/24)]] and three [[16/15\|classic diatonic semitones (16/15)]]: (16/15)<sup>3</sup>/(25/24)<sup>4</sup>,
	* three [[128/125\|lesser dieses (128/125)]] and a classic chromatic semitone, (128/125)<sup>3</sup>/(25/24), and		* three [[128/125\|lesser dieses (128/125)]] and a classic chromatic semitone: (128/125)<sup>3</sup>/(25/24), and
	* twelve [[5/4\|classic major thirds (5/4)]] and a [[15/8\|classic major seventh (15/8)]], 15/(5/4)<sup>12</sup> ~~(octave-reduced)~~.		* an octave-reduced stack of twelve [[5/4\|classic major thirds (5/4)]] and a [[15/8\|classic major seventh (15/8)]]: 15/(5/4)<sup>12</sup>.

	Tempering it out leads to the [[Magus]] temperament.		Tempering it out leads to the [[Magus]] temperament.