37/35 - Revision history

Lériendil: Text replacement - "[[Square superparticular|S" to "[[S-expression|S"

2025-05-21T15:54:46Z

Text replacement - "[[Square superparticular|S" to "[[S-expression|S"

← Older revision		Revision as of 15:54, 21 May 2025
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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]].

Lériendil: added more details

2025-05-04T14:29:01Z

added more details

← Older revision		Revision as of 14:29, 4 May 2025
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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 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 [[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]].

Lériendil: added details concerning the structural significance of prime 37 in relation to 2.5.7

2025-05-04T14:25:39Z

added details concerning the structural significance of prime 37 in relation to 2.5.7

← Older revision		Revision as of 14:25, 4 May 2025
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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]].

BudjarnLambeth: Added links, added bold

2025-02-27T02:02:58Z

Added links, added bold

← Older revision		Revision as of 02:02, 27 February 2025
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	{{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.		{{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]].

MisterShafXen: 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."

2025-02-25T13:31:14Z

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."

New page

{{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.