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)]], (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. | ||
Revision as of 17:44, 29 May 2024
| Interval information |
The Magus comma (ratio: 50331648/48828125, monzo: [24 1 -11⟩) is a medium 5-limit comma, which is the difference between:
- four classic chromatic semitones (25/24) and three classic diatonic semitones (16/15), (16/15)3/(25/24)4,
- three lesser dieses (128/125) and a classic chromatic semitone, (128/125)3/(25/24), and
- twelve classic major thirds (5/4) and a classic major seventh (15/8), 15/(5/4)12 (octave-reduced).
Tempering it out leads to the Magus temperament.