Magus comma: Difference between revisions

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{{stub}}
{{Infobox Interval
{{Infobox Interval
| 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>,
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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>.


Tempering it out leads to the [[Magus]] and [[Amigo]] temperaments.
== Temperaments ==
Tempering out this comma leads to the [[magus]] and [[amigo]] temperaments.
 
== See also ==
* [[Würschmidt comma]]
* [[Magic comma]]
 
[[Category:Commas with unknown etymology]]