175/144

Interval information

Ratio	175/144
Factorization	2-4 × 3-2 × 52 × 7
Monzo	[-4 -2 2 1⟩
Size in cents	337.5433 ¢
Name	avicennmic minor third
Color name	zyy3, zoyoyo 3rd
FJS name	[math]\displaystyle{ \text{M3}^{5,5,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	14.6211
Weil norm (log2 max(n, d))	14.9024
Wilson norm (sopfr(nd))	31
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175/144, the avicennmic minor third, is a 7-limit interval that exceeds the Pythagorean minor third by an avicennma. It functions as a major third, being a Pythagorean major third flattened by two syntonic commas and a septimal comma, which is further evidenced by the fact that it equals a stack of a 7/6 septimal minor third and a 25/24 classical chromatic semitone.

Terminology

This interval has also been called the keemic minor third, viewed as fudged from 6/5 instead.

Temperaments

This interval is a near-optimal generator for the sixix temperament.