Magus comma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 50331648/48828125 | | Ratio = 50331648/48828125 | ||
| Monzo = 24 1 -11 | | Monzo = 24 1 -11 | ||
| Name = | | 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 ''' | 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 14: | ||
* 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 | == Temperaments == | ||
Tempering out this comma leads to the [[magus]] and [[amigo]] temperaments. | |||
== See also == | |||
* [[Würschmidt comma]] | |||
* [[Magic comma]] | |||
[[Category:Commas with unknown etymology]] | |||