52/49

Interval information

Ratio	52/49
Factorization	22 × 7-2 × 13
Monzo	[2 0 0 -2 0 1⟩
Size in cents	102.8758¢
Names	hammer semitone, hammerisma
Color name	thoruru unison, 3orr1
FJS name	[math]\displaystyle{ \text{P1}^{13}_{7,7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	11.3151
Weil height (log2 max(n, d))	11.4009
Wilson height (sopfr(nd))	31
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.28792 bits
Open this interval in xen-calc

52/49, the hammer semitone, is the difference between 13/8 and 49/32. It is a member of the 2.7.13 subgroup. It is also the difference between the subminor seventh of 7/4 and the submajor seventh of 13/7.

It is close to 17/16, differing from it by the unnoticeable comma of 833/832.