37th-octave temperaments - Revision history

Eliora: /* Ludidzelic */

2026-09-03T17:00:05Z

Ludidzelic

← Older revision		Revision as of 17:00, 3 September 2026
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	==Ludidzelic==		==Ludidzelic==
	''Ludidzelic'' [lʲudi'd͡zɛlɪk] is named after the {{W\|Cyrillic numeral}}s representation of the number 37.		''Ludidzelic'' [lʲudi'd͡zɛlɪk] is named after the {{W\|Cyrillic numeral}}s representation of the number 37 (Л = ludi = 30, З = dzelo = 7). Also notably, The 3rd harmonic is also is divided into 7 equal parts.

	Subgroup: 2.3.5.7		Subgroup: 2.3.5.7

2026-09-03T16:58:55Z

13-limit

← Older revision		Revision as of 16:58, 3 September 2026
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	===13-limit===		===13-limit===
	14 periods map to [[13/10]], thus equating a stack of three 11/8 with one 13/10 and making ludidzelic a [[6656/6655\|jacobin]] temperament.		14 periods map to [[13/10]] (a property inherited from 37edo), thus equating a stack of three 11/8 with one 13/10 and making ludidzelic a [[6656/6655\|jacobin]] temperament.

	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13

2026-09-03T16:55:03Z

13-limit

← Older revision		Revision as of 16:55, 3 September 2026
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	===13-limit===		===13-limit===
	14 periods map to [[13/10]], thus equating a stack of three 11/8 with one 13/10 and making ~~dzelic~~ a [[6656/6655\|jacobin]] temperament.		14 periods map to [[13/10]], thus equating a stack of three 11/8 with one 13/10 and making ludidzelic a [[6656/6655\|jacobin]] temperament.

	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13

2026-09-03T16:54:50Z

Dzelic: rename to ludiedzelic as that more means 37 in old church slavic numbers not just 7

← Older revision		Revision as of 16:54, 3 September 2026
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	Badness: 0.052475		Badness: 0.052475

	==~~Dzelic~~==		==Ludidzelic==
	~~Dzelic~~ ['d͡zɛlɪk] is named after the ~~Slavic letter dzelo, which represents~~ the number ~~7, as it takes 7 generator grave minor thirds to reach the third harmonic~~.		''Ludidzelic'' [lʲudi'd͡zɛlɪk] is named after the {{W\|Cyrillic numeral}}s representation of the number 37.

	Subgroup: 2.3.5.7		Subgroup: 2.3.5.7

2025-02-14T03:42:42Z

← Older revision		Revision as of 03:42, 14 February 2025
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	{{~~Fractional~~-octave ~~navigation~~\|37}}		{{Infobox fractional-octave\|37}}
	[[37edo]] has an extremely precise mapping for the 11th harmonic, and it is a strong 2.5.7.13 tuning besides that, therefore various 37th-octave temperaments occur naturally between any two numbers whose greatest common divisor is 37.		[[37edo]] has an extremely precise mapping for the 11th harmonic, and it is a strong 2.5.7.13 tuning besides that, therefore various 37th-octave temperaments occur naturally between any two numbers whose greatest common divisor is 37.
	== 37-11-commatic (rank-1) ==		== 37-11-commatic (rank-1) ==

2024-12-05T07:27:45Z

navbox

2023-08-02T14:22:11Z

Dzelic

← Older revision		Revision as of 14:22, 2 August 2023
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	{{Optimal ET sequence\|legend=1\|296, 1369, 1665}}, ...		{{Optimal ET sequence\|legend=1\|296, 1369, 1665}}, ...

	~~[[Category:37edo]]~~
	~~[[Category:Rank 2]]~~
	~~[[Category:Temperament collections]]~~

2023-08-02T14:21:59Z

← Older revision		Revision as of 14:21, 2 August 2023
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			{{Fractional-octave navigation\|37}}
	[[37edo]] has an extremely precise mapping for the 11th harmonic, and it is a strong 2.5.7.13 tuning besides that, therefore various 37th-octave temperaments occur naturally between any two numbers whose greatest common divisor is 37.		[[37edo]] has an extremely precise mapping for the 11th harmonic, and it is a strong 2.5.7.13 tuning besides that, therefore various 37th-octave temperaments occur naturally between any two numbers whose greatest common divisor is 37.
	== 37-11-commatic (rank-1) ==		== 37-11-commatic (rank-1) ==

2023-08-02T14:20:27Z

37-11-commatic (rank-1)

← Older revision		Revision as of 14:20, 2 August 2023
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	[[37edo]] has an extremely precise mapping for the 11th harmonic, and it is a strong 2.5.7.13 tuning besides that, therefore various 37th-octave temperaments occur naturally between any two numbers whose greatest common divisor is 37.		[[37edo]] has an extremely precise mapping for the 11th harmonic, and it is a strong 2.5.7.13 tuning besides that, therefore various 37th-octave temperaments occur naturally between any two numbers whose greatest common divisor is 37.
	== 37-11-commatic (rank-1) ==		== 37-11-commatic (rank-1) ==
			{{Main\|37-11-comma}}

	Subgroup: 2.11		Subgroup: 2.11

	Comma list: {{monzo\|128 -37		Comma list: {{monzo\|128 -37}}

			{{mapping\|legend=2\| 37 28 }}

			: mapping generators: ~35184372088832/34522712143931 = 1\37

			[[Support]]ing [[ET]]s: 37N, N = 1 to 485

	== Rubidium ==		== Rubidium ==

2023-08-02T14:18:15Z

← Older revision		Revision as of 14:18, 2 August 2023
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	[[37edo]] has an extremely precise mapping for the 11th harmonic, and it is a strong 2.5.7.13 tuning besides that, therefore various 37th-octave temperaments occur naturally between any two numbers whose greatest common divisor is 37.		[[37edo]] has an extremely precise mapping for the 11th harmonic, and it is a strong 2.5.7.13 tuning besides that, therefore various 37th-octave temperaments occur naturally between any two numbers whose greatest common divisor is 37.
			== 37-11-commatic (rank-1) ==
			Subgroup: 2.11

			Comma list: {{monzo\|128 -37

	== Rubidium ==		== Rubidium ==