Magus comma

The Magus comma (ratio: 50331648/48828125, monzo: [24 1 -11⟩) is a medium 5-limit comma, which is the difference between a stack of four classic chromatic semitones (25/24) and three classic diatonic semitones (16/15), that is, (16/15)^3/(25/24)⁴. It is also the difference between three lesser dieses (128/125) and a classic chromatic semitone, or (128/125)^3/(25/24).

Interval information

Ratio	50331648/48828125
Factorization	224 × 3 × 5-11
Monzo	[24 1 -11⟩
Size in cents	52.50415¢
Name	Magus comma
Color name	salegu 4th, sg114
FJS name	[math]\displaystyle{ \text{6d4}_{5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	51.1262
Weil norm (log2 max(n, d))	51.1699
Wilson norm (sopfr(nd))	106
Comma size	medium
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Tempering it out leads to the Magus temperament.