44/37 - Revision history

Jerdle at 01:09, 29 November 2024

2024-11-29T01:09:46Z

← Older revision		Revision as of 01:09, 29 November 2024
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	44/37, the 37-limit quasi-tempered minor third, is the continued fraction convergent to 3\[[12edo\|12]] after [[25/21]] and [[19/16]]. It is followed by a 40 in the expansion, so it's a great approximation for its odd limit (compare 355/113 for π).		44/37, the 37-limit quasi-tempered minor third, is the continued fraction convergent to 3\[[12edo\|12]] after [[25/21]] and [[19/16]]. It is followed by a 40 in the expansion, so it's a great approximation for its odd limit (compare 355/113 for π).

			Equating it to the quarter-octave leads to the [[berylic]] temperament, tempering out the [[berylisma]].

	== See also ==		== See also ==

2024-11-18T17:17:57Z

← Older revision		Revision as of 17:17, 18 November 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = 37-limit quasi-tempered minor third, beryl minor third		\| Name = 37-limit quasi-tempered minor third, beryl minor third, tricesimoseptimal minor third, tricesimoseptimal quarter-octave
	\| Color name = 37u1o2, thisulo 2nd		\| Color name = 37u1o2, thisulo 2nd
	}}		}}

	44/37, the 37-limit quasi-tempered minor third, is the continued fraction convergent to 3\[[12edo\|12]] after [[25/21]] and [[19/16]]. It's followed by a 40 in the expansion, so it's a great approximation for its odd limit (compare 355/113 for π).		44/37, the 37-limit quasi-tempered minor third, is the continued fraction convergent to 3\[[12edo\|12]] after [[25/21]] and [[19/16]]. It is followed by a 40 in the expansion, so it's a great approximation for its odd limit (compare 355/113 for π).

	== See also ==		== See also ==
	* [[37/22]] - its octave complement		* [[37/22]] – its octave complement
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	[[category:Third]]		[[category:Third]]
	[[Category:Minor third]]		[[Category:Minor third]]

2023-10-05T11:45:08Z

← Older revision		Revision as of 11:45, 5 October 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = 37-limit quasi-tempered minor third, ~~berylismic~~ minor third		\| Name = 37-limit quasi-tempered minor third, beryl minor third
	\| Color name = 37u1o2, thisulo 2nd		\| Color name = 37u1o2, thisulo 2nd
	}}		}}

2023-10-05T11:44:36Z

2023-10-02T14:09:01Z

← Older revision		Revision as of 14:09, 2 October 2023
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	}}		}}

	44/37, the 37-limit quasi-tempered minor third, is a continued fraction convergent to 3\[[12edo\|12]]~~, as well as to~~ [[25/21]] and [[19/16]].		44/37, the 37-limit quasi-tempered minor third, is the continued fraction convergent to 3\[[12edo\|12]] after [[25/21]] and [[19/16]]. It's followed by a 40 in the expansion, so it's a great approximation for its odd limit (compare 355/113 for π).

	== See also ==		== See also ==

2023-08-02T22:31:42Z

not just close, but convergent

← Older revision		Revision as of 22:31, 2 August 2023
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	}}		}}

	~~Very close~~ to 3\[[12edo\|12]], as well as to [[25/21]] and [[19/16]].		44/37, the 37-limit quasi-tempered minor third, is a continued fraction convergent to 3\[[12edo\|12]], as well as to [[25/21]] and [[19/16]].

	== See also ==		== See also ==

2023-07-11T22:09:20Z

2022-10-25T15:53:50Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 15:53, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 44/37~~
	~~\| Monzo = 2 0 0 0 1 0 0 0 0 0 0 -1~~
	~~\| Cents = 299.97390~~
	\| Name = 37-limit quasi-tempered minor third		\| Name = 37-limit quasi-tempered minor third
	\| Color name = 37u1o2, thisulo 2nd		\| Color name = 37u1o2, thisulo 2nd
	~~\| FJS name = m3<sup>11</sup><sub>37</sub>~~
	~~\| Sound =~~
	}}		}}

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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[category:37-limit]]~~
	[[category:Third]]		[[category:Third]]
	[[Category:Minor third]]		[[Category:Minor third]]

2021-12-20T03:11:16Z

Added color and FJS names, misc. edits, categories

← Older revision		Revision as of 03:11, 20 December 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| JI glyph =~~
	\| Ratio = 44/37		\| Ratio = 44/37
	\| Monzo = 2 0 0 0 1 0 0 0 0 0 0 -1		\| Monzo = 2 0 0 0 1 0 0 0 0 0 0 -1
	\| Cents = 299.97390		\| Cents = 299.97390
	\| Name =37-limit quasi-tempered minor third		\| Name = 37-limit quasi-tempered minor third
	\| Color name =		\| Color name = 37u1o2, thisulo 2nd
	\| FJS name =		\| FJS name = m3<sup>11</sup><sub>37</sub>
	\| Sound =		\| Sound =
	}}		}}
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	Very close to 3\[[12edo\|12]], as well as to [[25/21]] and [[19/16]].		Very close to 3\[[12edo\|12]], as well as to [[25/21]] and [[19/16]].

	See also [[Gallery of ~~Just Intervals~~]].		== See also ==
			* [[Gallery of just intervals]]

	~~[[category:Interval]]~~
	[[category:37-limit]]		[[category:37-limit]]
	[[category:Third]]		[[category:Third]]
	[[Category:Minor third]]		[[Category:Minor third]]

2020-11-19T08:53:52Z

Gave 44/37 a name

← Older revision		Revision as of 08:53, 19 November 2020
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	\| Monzo = 2 0 0 0 1 0 0 0 0 0 0 -1		\| Monzo = 2 0 0 0 1 0 0 0 0 0 0 -1
	\| Cents = 299.97390		\| Cents = 299.97390
	\| Name =		\| Name =37-limit quasi-tempered minor third
	\| Color name =		\| Color name =
	\| FJS name =		\| FJS name =

← Older revision		Revision as of 11:44, 5 October 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = 37-limit quasi-tempered minor third		\| Name = 37-limit quasi-tempered minor third, berylismic minor third
	\| Color name = 37u1o2, thisulo 2nd		\| Color name = 37u1o2, thisulo 2nd
	}}		}}