26-comma - Revision history

FloraC: Mark as mathematical interest

2025-12-02T07:47:04Z

Mark as mathematical interest

← Older revision		Revision as of 07:47, 2 December 2025
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			{{Mathematical interest}}
	{{Infobox Interval		{{Infobox Interval
	\| Name = 26-comma, Pythagorean inverse triple-diminished second		\| Name = 26-comma, Pythagorean inverse triple-diminished second
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	Used as an interval in its own right, it is the '''Pythagorean inverse triple-diminished second'''. It approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as the ''Pythagorean semifourth''.		Used as an interval in its own right, it is the '''Pythagorean inverse triple-diminished second'''. It approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as the ''Pythagorean semifourth''.

	[[Category:Commas named systematically~~]][[Category:Commas named after their interval size~~]]		[[Category:Commas named systematically]]

BudjarnLambeth at 06:22, 3 November 2024

2024-11-03T06:22:57Z

← Older revision		Revision as of 06:22, 3 November 2024
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	Used as an interval in its own right, it is the '''Pythagorean inverse triple-diminished second'''. It approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as the ''Pythagorean semifourth''.		Used as an interval in its own right, it is the '''Pythagorean inverse triple-diminished second'''. It approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as the ''Pythagorean semifourth''.

			[[Category:Commas named systematically]][[Category:Commas named after their interval size]]

FloraC: This is but a Pythagorean interval.

2024-10-16T08:40:10Z

This is but a Pythagorean interval.

← Older revision		Revision as of 08:40, 16 October 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = 26-comma		\| Name = 26-comma, Pythagorean inverse triple-diminished second
	\| Ratio = 2541865828329/2199023255552		\| Ratio = 2541865828329/2199023255552
	\| Color name = Wa-26, L<sup>4</sup>w-2		\| Color name = Wa-26, L<sup>4</sup>w-2
	\| Comma = ~~technically~~		\| Comma = true
	}}		}}
	The '''26-comma''' is a [[3-limit]] [[semifourth]] that acts as a comma in certain temperaments. It is the difference between 26 perfect fifths and 15 octaves, as well as being two [[Pythagorean comma\|Pythagorean commas]] sharp of [[9/8]].		The '''26-comma''' is a [[3-limit]] [[semifourth]] that acts as a comma in certain temperaments. It is the difference between 26 perfect fifths and 15 octaves, as well as being two [[Pythagorean comma\|Pythagorean commas]] sharp of [[9/8]].

	While it is exceptionally large for a comma (two of them make a near-perfect fourth, off by the small [[53-comma]]), it is tempered out in [[26edo]], because of that temperament's narrow fifths.		While it is exceptionally large for a comma (two of them make a near-perfect fourth, off by the small [[53-comma]]), it is tempered out in [[26edo]], because of that temperament's narrow fifths.

	As an ~~untempered~~ interval, it approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as ~~'''~~the''' Pythagorean semifourth.		Used as an interval in its own right, it is the '''Pythagorean inverse triple-diminished second'''. It approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as the ''Pythagorean semifourth''.

Jerdle: Actually fixed it this time

2024-10-15T21:18:39Z

Actually fixed it this time

← Older revision		Revision as of 21:18, 15 October 2024
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	\| Comma = technically		\| Comma = technically
	}}		}}
	The '''26-comma''' is a [[3-limit]] [[semifourth]] that acts as a comma in certain temperaments. It is the difference between 26 perfect fifths and 15 octaves, as well as being two [[Pythagorean ~~commas~~\|Pythagorean ~~comma~~]] sharp of [[9/8]].		The '''26-comma''' is a [[3-limit]] [[semifourth]] that acts as a comma in certain temperaments. It is the difference between 26 perfect fifths and 15 octaves, as well as being two [[Pythagorean comma\|Pythagorean commas]] sharp of [[9/8]].

	While it is exceptionally large for a comma (two of them make a near-perfect fourth, off by the small [[53-comma]]), it is tempered out in [[26edo]], because of that temperament's narrow fifths.		While it is exceptionally large for a comma (two of them make a near-perfect fourth, off by the small [[53-comma]]), it is tempered out in [[26edo]], because of that temperament's narrow fifths.

	As an untempered interval, it approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as '''the''' Pythagorean semifourth.		As an untempered interval, it approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as '''the''' Pythagorean semifourth.

Jerdle: Fixed link

2024-10-15T21:18:07Z

Fixed link

← Older revision		Revision as of 21:18, 15 October 2024
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	\| Comma = technically		\| Comma = technically
	}}		}}
	The '''26-comma''' is a [[3-limit]] [[semifourth]] that acts as a comma in certain temperaments. It is the difference between 26 perfect fifths and 15 octaves, as well as being two [[Pythagorean commas]] sharp of [[9/8]].		The '''26-comma''' is a [[3-limit]] [[semifourth]] that acts as a comma in certain temperaments. It is the difference between 26 perfect fifths and 15 octaves, as well as being two [[Pythagorean commas\|Pythagorean comma]] sharp of [[9/8]].

	While it is exceptionally large for a comma (two of them make a near-perfect fourth, off by the small [[53-comma]]), it is tempered out in [[26edo]], because of that temperament's narrow fifths.		While it is exceptionally large for a comma (two of them make a near-perfect fourth, off by the small [[53-comma]]), it is tempered out in [[26edo]], because of that temperament's narrow fifths.

	As an untempered interval, it approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as '''the''' Pythagorean semifourth.		As an untempered interval, it approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as '''the''' Pythagorean semifourth.

Jerdle: Removed the name "flatma" and added some links and a new relationship.

2024-10-15T21:17:49Z

Removed the name "flatma" and added some links and a new relationship.

← Older revision		Revision as of 21:17, 15 October 2024
Line 5:		Line 5:
	\| Comma = technically		\| Comma = technically
	}}		}}
	The '''26-comma''' is a semifourth that acts as a comma in certain temperaments. It is the difference between 26 perfect fifths and 15 octaves.		The '''26-comma''' is a [[3-limit]] [[semifourth]] that acts as a comma in certain temperaments. It is the difference between 26 perfect fifths and 15 octaves, as well as being two [[Pythagorean commas]] sharp of [[9/8]].

	While it is exceptionally large for a comma (two of them make a near-perfect fourth, off by the small [[53-comma]]), it is tempered out in [[26edo]], because of that temperament's narrow fifths.		While it is exceptionally large for a comma (two of them make a near-perfect fourth, off by the small [[53-comma]]), it is tempered out in [[26edo]], because of that temperament's narrow fifths.

	As an untempered interval, it approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as the Pythagorean semifourth~~, or possibly the flatma, given 26edo's connection to flattone~~.		As an untempered interval, it approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as '''the''' Pythagorean semifourth.

Jerdle: Created page on the 26-comma

2024-10-15T21:14:34Z

Created page on the 26-comma

New page

{{Infobox Interval
| Name = 26-comma
| Ratio = 2541865828329/2199023255552
| Color name = Wa-26, L<sup>4</sup>w-2
| Comma = technically
}}
The '''26-comma''' is a semifourth that acts as a comma in certain temperaments. It is the difference between 26 perfect fifths and 15 octaves.

While it is exceptionally large for a comma (two of them make a near-perfect fourth, off by the small [[53-comma]]), it is tempered out in [[26edo]], because of that temperament's narrow fifths.

As an untempered interval, it approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as the Pythagorean semifourth, or possibly the flatma, given 26edo's connection to flattone.