Magus comma: Difference between revisions
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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)]] | * 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 | * 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)]] | * 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. | ||