175/128

175/128, the avicennmic fourth, is a 7-limit superfourth that is sharp of the perfect fourth by an avicennma. It is more likely to function as an augmented fourth in just intonation, being a Pythagorean augmented fourth flattened by two syntonic commas and a septimal comma. This function is further evidenced by the fact that it equals a 21/16 subfourth raised by a 25/24 classical chromatic semitone.

Interval information

Ratio	175/128
Factorization	2-7 × 52 × 7
Monzo	[-7 0 2 1⟩
Size in cents	541.4533 ¢
Name	avicennmic fourth
FJS name	[math]\displaystyle{ \text{A4}^{5,5,7} }[/math]
Special properties	reduced, reduced harmonic
Tenney norm (log2 nd)	14.4512
Weil norm (log2 max(n, d))	14.9024
Wilson norm (sopfr(nd))	31
Open this interval in xen-calc

In the 11-limit, it is equal to 11/8 lowered by a valinorsma, or 15/11 raised by a keenanisma. Equating this interval with 11/8 results in the valinorsmic temperament, or with 15/11, the keenanismic temperament. Both can be used to bring 11/8 into the 7-limit.

This interval has also been called by DesertFreeze the valinorsmic acute superfourth.