37/35: Difference between revisions

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{{Infobox Interval}}
{{Infobox Interval}}
'''37/35''' is a [[37-limit]] (5.7.37 subgroup) interval of about 96 [[cents]]. This interval can function like a semitone in no-twos-or-threes 37-limit [[JI]].
'''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 can be approached starting from a [[2.5.7 subgroup|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]].

Revision as of 14:25, 4 May 2025

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 norm (log2 nd) 10.3387
Weil norm (log2 max(n, d)) 10.4189
Wilson norm (sopfr(nd)) 49
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 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.