User:BudjarnLambeth/Tritavesque - Revision history

BudjarnLambeth: BudjarnLambeth moved page Tritavesque to User:BudjarnLambeth/Tritavesque

2025-05-07T02:55:35Z

← Older revision	Revision as of 02:55, 7 May 2025
(No difference)

2025-04-29T03:57:31Z

← Older revision		Revision as of 03:57, 29 April 2025
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	As tritavesque intervals get more complex, they usually but not always get closer to [[2/1]].		As tritavesque intervals get more complex, they usually but not always get closer to [[2/1]].

	Many of these intervals see use as [[~~equave~~]]s for [[edonoi]] and other [[nonoctave]] scales. They also see use as ninths of scales in edonoi, especially [[EDT]]s.		Many of these intervals see use as [[period]]s for [[edonoi]] and other [[nonoctave]] scales. They also see use as ninths of scales in edonoi, especially [[EDT]]s.

	The more complex of these intervals can also be used as [[pseudo-octave]]s.		The more complex of these intervals can also be used as [[pseudo-octave]]s.

2025-04-29T03:56:24Z

List of tritavesque intervals

← Older revision		Revision as of 03:56, 29 April 2025
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	== List of tritavesque intervals ==		== List of tritavesque intervals ==
	The numerators are the integers starting from 3 (3, 4, 5, 6, 7...). The denominators are [https://oeis.org/A116921 OEIS sequence A116921]: ''a(n) = largest integer <= n/2 which is coprime to n''.		The numerators are the integers starting from 3 (3, 4, 5, 6, 7...). The denominators are [https://oeis.org/A116921 OEIS sequence A116921] — ''a(n) = largest integer <= n/2 which is coprime to n'' — but skipping the first entry (0).

	# [[3/1]]		# [[3/1]]

2025-04-29T03:54:54Z

Add OEIS

← Older revision		Revision as of 03:54, 29 April 2025
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	== List of tritavesque intervals ==		== List of tritavesque intervals ==
			The numerators are the integers starting from 3 (3, 4, 5, 6, 7...). The denominators are [https://oeis.org/A116921 OEIS sequence A116921]: ''a(n) = largest integer <= n/2 which is coprime to n''.

	# [[3/1]]		# [[3/1]]

2024-12-01T22:57:16Z

+see also

← Older revision		Revision as of 22:57, 1 December 2024
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	# [[40/19]]		# [[40/19]]
	And so on...		And so on...

			== See also ==
			* [[Taxicab distance]]

	[[Category:Lists of intervals]][[Category:Nonoctave]][[Category:Edonoi]]		[[Category:Lists of intervals]][[Category:Nonoctave]][[Category:Edonoi]]

2024-10-05T12:52:42Z

← Older revision		Revision as of 12:52, 5 October 2024
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	The '''tritavesque intervals'''{{idiosyncratic}} are all those intervals a/b, where b is the largest possible integer that is less than half of a, and shares no common ~~factirs~~ with a.		The '''tritavesque intervals'''{{idiosyncratic}} are all those intervals a/b, where b is the largest possible integer that is less than half of a, and shares no common factors with a.

	The first few tritavesque intervals are:		The first few tritavesque intervals are:

2024-10-05T12:22:19Z

← Older revision		Revision as of 12:22, 5 October 2024
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	The '''tritavesque intervals'''{{idiosyncratic}} are all those intervals a/b, where b is the largest possible integer that is less than half of a, and shares no common ~~factors~~ with a.		The '''tritavesque intervals'''{{idiosyncratic}} are all those intervals a/b, where b is the largest possible integer that is less than half of a, and shares no common factirs with a.

	The first few tritavesque intervals are:		The first few tritavesque intervals are:
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	Many of these intervals see use as [[equave]]s for [[edonoi]] and other [[nonoctave]] scales. They also see use as ninths of scales in edonoi, especially [[EDT]]s.		Many of these intervals see use as [[equave]]s for [[edonoi]] and other [[nonoctave]] scales. They also see use as ninths of scales in edonoi, especially [[EDT]]s.

	The more complex ~~among~~ these intervals can be used as [[pseudo-octave]]s.		The more complex of these intervals can also be used as [[pseudo-octave]]s.

	== List of tritavesque intervals ==		== List of tritavesque intervals ==
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	# [[29/14]]		# [[29/14]]
	# [[30/13]]		# [[30/13]]
			# [[31/15]]
			# [[32/15]]
			# [[33/16]]
			# [[34/15]]
			# [[35/17]]
			# [[36/17]]
			# [[37/18]]
			# [[38/17]]
			# [[39/19]]
			# [[40/19]]
	And so on...		And so on...

	[[Category:Lists of intervals]][[Category:Nonoctave]][[Category:Edonoi]]		[[Category:Lists of intervals]][[Category:Nonoctave]][[Category:Edonoi]]

2024-10-05T12:08:29Z

← Older revision		Revision as of 12:08, 5 October 2024
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	As tritavesque intervals get more complex, they usually but not always get closer to [[2/1]].		As tritavesque intervals get more complex, they usually but not always get closer to [[2/1]].

	Many of these intervals see use as [[equave]]s for [[edonoi]] and other [[nonoctave]] scales.		Many of these intervals see use as [[equave]]s for [[edonoi]] and other [[nonoctave]] scales. They also see use as ninths of scales in edonoi, especially [[EDT]]s.

			The more complex among these intervals can be used as [[pseudo-octave]]s.

	== List of tritavesque intervals ==		== List of tritavesque intervals ==

2024-10-05T12:06:03Z

← Older revision		Revision as of 12:06, 5 October 2024
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	As tritavesque intervals get more complex, they usually but not always get closer to [[2/1]].		As tritavesque intervals get more complex, they usually but not always get closer to [[2/1]].

	Many of these intervals see use as [[equave]]s for [[edonoi]] and other [[nonoctave]] scales.		Many of these intervals see use as [[equave]]s for [[edonoi]] and other [[nonoctave]] scales.

	~~The more complex~~

	== List of tritavesque intervals ==		== List of tritavesque intervals ==

2024-10-05T12:03:02Z

← Older revision		Revision as of 12:03, 5 October 2024
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	The '''tritavesque intervals'''{{idiosyncratic}} are all those intervals a/b, where b is the largest possible integer that is less than half of a, and shares no common ~~factirs~~ with a.		The '''tritavesque intervals'''{{idiosyncratic}} are all those intervals a/b, where b is the largest possible integer that is less than half of a, and shares no common factors with a.

	The first few tritavesque intervals are:		The first few tritavesque intervals are: