41-odd-limit - Revision history

FloraC: + category

2025-09-23T15:39:14Z

+ category

← Older revision		Revision as of 15:39, 23 September 2025
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	The smallest [[equal division of the octave]] which is consistent to the 41-odd-limit is [[311edo]]; The smallest edo that comes closest to being distinct in the 41-odd-limit is [[1600edo]] (misses 50/39, 39/25). that which is truly distinctly consistent to the same is [[2554edo]].		The smallest [[equal division of the octave]] which is consistent to the 41-odd-limit is [[311edo]]; The smallest edo that comes closest to being distinct in the 41-odd-limit is [[1600edo]] (misses 50/39, 39/25). that which is truly distinctly consistent to the same is [[2554edo]].

			[[Category:41-odd-limit\| ]] <!-- main article -->

2025-09-23T15:38:51Z

2025-09-23T15:36:37Z

added the new navigation system

← Older revision		Revision as of 15:36, 23 September 2025
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	{{Odd-limit navigation}}The '''41-odd-limit''' is the set of all [[Rational interval\|rational intervals]] which can be written as 2<sup>''k''</sup>(''a''/''b'') where ''a'', ''b'' ≤ 41 and ''k'' is an integer. To the [[39-odd-limit]], it adds 20 pairs of [[octave-reduced]] intervals involving 41.		{{Odd-limit navigation\|41}}The '''41-odd-limit''' is the set of all [[Rational interval\|rational intervals]] which can be written as 2<sup>''k''</sup>(''a''/''b'') where ''a'', ''b'' ≤ 41 and ''k'' is an integer. To the [[39-odd-limit]], it adds 20 pairs of [[octave-reduced]] intervals involving 41.

	Below is a list of all octave-reduced intervals in the 41-odd-limit.		Below is a list of all octave-reduced intervals in the 41-odd-limit.

2025-09-22T19:19:09Z

changed of the 41 prime ordinal to a somewhat more correctly Latinate one

2025-09-20T23:26:14Z

fixed smallest distinctly consistent EDO

← Older revision		Revision as of 23:26, 20 September 2025
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	The smallest [[equal division of the octave]] which is consistent to the 41-odd-limit is [[311edo]]; The smallest edo that comes closest to being distinct in the 41-odd-limit is [[1600edo]] (misses 50/39, 39/25). that which is truly distinctly consistent to the same is [[~~20567edo~~]] ~~(by virtue of it being distinctly consistent through the 57-odd-limit)~~.		The smallest [[equal division of the octave]] which is consistent to the 41-odd-limit is [[311edo]]; The smallest edo that comes closest to being distinct in the 41-odd-limit is [[1600edo]] (misses 50/39, 39/25). that which is truly distinctly consistent to the same is [[2554edo]].

2025-09-18T21:38:32Z

Declared 1600 to be almost consistent

← Older revision		Revision as of 21:38, 18 September 2025
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	\|quadragintaunimal ultramajor seventh		\|quadragintaunimal ultramajor seventh
	\|}		\|}
	The smallest [[equal division of the octave]] which is consistent to the 41-odd-limit is [[311edo]]; that which is distinctly consistent to the same is [[20567edo]] (by virtue of it being distinctly consistent through the 57-odd-limit).		The smallest [[equal division of the octave]] which is consistent to the 41-odd-limit is [[311edo]]; The smallest edo that comes closest to being distinct in the 41-odd-limit is [[1600edo]] (misses 50/39, 39/25). that which is truly distinctly consistent to the same is [[20567edo]] (by virtue of it being distinctly consistent through the 57-odd-limit).

2025-09-18T21:10:19Z

← Older revision		Revision as of 21:10, 18 September 2025
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	{{Odd-limit navigation}}The '''41-odd-limit''' is the set of all [[Rational interval\|rational intervals]] which can be written as 2<sup>''k''</sup>(''a''/''b'') where ''a'', ''b'' ≤ 31 and ''k'' is an integer. To the [[39-odd-limit]], it adds 20 pairs of [[octave-reduced]] intervals involving 41.		{{Odd-limit navigation}}The '''41-odd-limit''' is the set of all [[Rational interval\|rational intervals]] which can be written as 2<sup>''k''</sup>(''a''/''b'') where ''a'', ''b'' ≤ 41 and ''k'' is an integer. To the [[39-odd-limit]], it adds 20 pairs of [[octave-reduced]] intervals involving 41.

	Below is a list of all octave-reduced intervals in the 41-odd-limit.		Below is a list of all octave-reduced intervals in the 41-odd-limit.

2025-09-18T20:54:38Z

Added all links to intervals

2025-09-16T19:04:41Z

Proposed some names for the 41-odd-limit intervals, feel free to change them if they could be improved

2025-09-16T18:35:17Z

whoops forgot navigation!

← Older revision		Revision as of 18:35, 16 September 2025
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	The '''41-odd-limit''' is the set of all [[Rational interval\|rational intervals]] which can be written as 2<sup>''k''</sup>(''a''/''b'') where ''a'', ''b'' ≤ 31 and ''k'' is an integer. To the [[39-odd-limit]], it adds 20 pairs of [[octave-reduced]] intervals involving 41.		{{Odd-limit navigation}}The '''41-odd-limit''' is the set of all [[Rational interval\|rational intervals]] which can be written as 2<sup>''k''</sup>(''a''/''b'') where ''a'', ''b'' ≤ 31 and ''k'' is an integer. To the [[39-odd-limit]], it adds 20 pairs of [[octave-reduced]] intervals involving 41.

	Below is a list of all octave-reduced intervals in the 41-odd-limit.		Below is a list of all octave-reduced intervals in the 41-odd-limit.