37/35: Difference between revisions
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Created page with "{{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." Tags: Visual edit Mobile edit Mobile web edit |
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{{Infobox Interval}}37/35 is a [[37-limit]] (5.7.37 subgroup) interval of about 96 cents. This interval | {{Infobox Interval}} | ||
'''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 [[S-expression|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 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]]. | |||
Latest revision as of 15:54, 21 May 2025
| Interval information |
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.