37/35: Difference between revisions

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'''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 [[~~Square superparticular~~|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]].

'''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]].

Revision as of 14:29, 4 May 2025 view source Lériendil (talk \| contribs) 8,044 edits added more details ← Older edit		Latest revision as of 15:54, 21 May 2025 view source Lériendil (talk \| contribs) 8,044 edits m Text replacement - "[[Square superparticular\|S" to "[[S-expression\|S"
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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 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 [[~~Square superparticular~~\|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]].		'''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]].