4000/3993

Interval information

Ratio	4000/3993
Factorization	25 × 3-1 × 53 × 11-3
Monzo	[5 -1 3 0 -3⟩
Size in cents	3.032314¢
Name	wizardharry comma
Color name	Triluyo comma
FJS name	[math]\displaystyle{ \text{AA1}^{5,5,5}_{11,11,11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	23.929
Weil norm (log2 max(n, d))	23.9316
Wilson norm (sopfr(nd))	61
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4000/3993, the wizardharry comma, is an unnoticeable 11-limit comma with a size of roughly 3.03 cents. It is the amount by which a stack of three 11/10 submajor seconds falls short of the 4/3 perfect fourth. Tempering it out means the 4th is divided into an equal stepped tetrachord by means equating a stack of two 11/10 submajor seconds with 40/33 rather than by equating a stack of three 6/5 intervals with a 16/9 interval as in the Porcupine family of temperaments.