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 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.