Amity comma

Interval information

Ratio	1600000/1594323
Factorization	29 × 3-13 × 55
Monzo	[9 -13 5⟩
Size in cents	6.153558¢
Name	amity comma
Color name	sy51, Saquinyo comma
FJS name	[math]\displaystyle{ \text{A1}^{5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	41.2142
Weil norm (log2 max(n, d))	41.2193
Wilson norm (sopfr(nd))	82
Comma size	small
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The amity comma ([9 -13 5⟩ = 1600000/1594323) is an interval of 6.154 cents, the amount by which five minor whole tones (10/9) exceed the Pythagorean major sixth (27/16). It belongs to the syntonic-chromatic equivalence continuum and is equal to the difference between an apotome and a stack of five syntonic commas ((2187/2048)/(81/80)⁵), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)³). Tempering it out leads to the amity family of temperaments.

See also

• Amity family
• Small comma