37/35

Interval information

Ratio	37/35
Subgroup monzo	5.7.37 [-1 -1 1⟩
Size in cents	96.20442¢
Name(s)	missing ?
FJS name	[math]\displaystyle{ \text{P1}^{37}_{5,7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	10.3387
Weil height (log2 max(n, d))	10.4189
Wilson height (sopfr(nd))	49
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.29696 bits
Open this interval in xen-calc

37/35 is a 37-limit (5.7.37 subgroup) interval of about 96 cents. This interval functions like a semitone in the (2.)5.7.37 subgroup, and has the function where four of this interval come quite close to 5/4, because two of it differ from 19/17 by S35/S37 = 23275/23273, and two 19/17s in turn differ from 5/4 by S17/S19 = 1445/1444. It can be approached starting from a 2.5.7 lens, where the addition of prime 37 may be particularly justified as 37/35 nearly bisects the 2.5.7 wholetone 28/25 (primarily notable for generating didacus when tempered), with the comma in question being 1372/1369, which is the same responsible for the identification of 37/28 with a fourth that represents half 7/4.