Negri comma

Interval information

Ratio	16875/16384
Factorization	2-14 × 33 × 54
Monzo	[-14 3 4⟩
Size in cents	51.11986¢
Name	negri comma
Color name	Ly4-2, Laquadyo comma
FJS name	[math]\displaystyle{ \text{dd}{-2}^{5,5,5,5} }[/math]
Special properties	reduced, reduced harmonic
Tenney norm (log2 nd)	28.0426
Weil norm (log2 max(n, d))	28.0852
Wilson norm (sopfr(nd))	57
Comma size	medium
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16875/16384 is the 51.120 cent interval called the negri comma or double augmentation diesis. It is the amount by which four major thirds exceed three fourths, that is, (5/4)⁴/(4/3)³, and is also the amount by which three diatonic semitones (16/15) fall short of a major third, that is, (5/4)/(16/15)³. It factors into simpler commas as (81/80)(3125/3072), the syntonic comma and the magic comma. Tempering it out leads to 5-limit negri temperament, which is closely associated with 19edo.

See also

• Negri
• Medium comma