19/15 - Revision history

FloraC: Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

2025-11-03T13:07:49Z

Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

← Older revision		Revision as of 13:07, 3 November 2025
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	'''19/15''', the '''large undevicesimal major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished fourth'', obtained by adding [[81/80]] and [[513/512]] to the [[8192/6561\|Pythagorean diminished fourth]], but it may be called the '''Eratosthenes' major third''' as it is sharper than the [[81/64\|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.		'''19/15''', the '''large undevicesimal major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished fourth'', obtained by adding [[81/80]] and [[513/512]] to the [[8192/6561\|Pythagorean diminished fourth]], but it may be called the '''Eratosthenes' major third''' as it is sharper than the [[81/64\|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 19/15}}		{{Interval edo approximation\|19/15}}
	== See also ==		== See also ==
	* [[30/19]] – its [[octave complement]]		* [[30/19]] – its [[octave complement]]

Pailiaq at 07:16, 3 November 2025

2025-11-03T07:16:02Z

← Older revision		Revision as of 07:16, 3 November 2025
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	'''19/15''', the '''large undevicesimal major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished fourth'', obtained by adding [[81/80]] and [[513/512]] to the [[8192/6561\|Pythagorean diminished fourth]], but it may be called the '''Eratosthenes' major third''' as it is sharper than the [[81/64\|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.		'''19/15''', the '''large undevicesimal major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished fourth'', obtained by adding [[81/80]] and [[513/512]] to the [[8192/6561\|Pythagorean diminished fourth]], but it may be called the '''Eratosthenes' major third''' as it is sharper than the [[81/64\|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.
			== Approximation ==
			{{Interval_Edo_Approximation \| 19/15}}
	== See also ==		== See also ==
	* [[30/19]] – its [[octave complement]]		* [[30/19]] – its [[octave complement]]

Xenllium at 10:20, 9 August 2025

2025-08-09T10:20:44Z

← Older revision		Revision as of 10:20, 9 August 2025
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	{{Infobox ~~Interval~~		{{Infobox interval
	\| Name = large undevicesimal major third, Eratosthenes' major third		\| Name = large undevicesimal major third, Eratosthenes' major third
	\| Color name = 19og4, nogu 4th		\| Color name = 19og4, nogu 4th
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	== See also ==		== See also ==
	* [[30/19]] – its [[octave complement]]		* [[30/19]] – its [[octave complement]]
			* [[45/38]] – its [[fifth complement]]
	* [[24/19]] – the small undevicesimal major third		* [[24/19]] – the small undevicesimal major third
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Xenllium at 11:59, 8 March 2025

2025-03-08T11:59:16Z

← Older revision		Revision as of 11:59, 8 March 2025
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	}}		}}

	'''19/15''', the '''large undevicesimal major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished fourth'', obtained by adding [[81/80]] and [[513/512]] to the [[6561~~/4096~~\|Pythagorean diminished fourth]], but it may be called the '''Eratosthenes' major third''' as it is sharper than the [[81/64\|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.		'''19/15''', the '''large undevicesimal major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished fourth'', obtained by adding [[81/80]] and [[513/512]] to the [[8192/6561\|Pythagorean diminished fourth]], but it may be called the '''Eratosthenes' major third''' as it is sharper than the [[81/64\|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.

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

Plumtree: Normalising usage of Infobox Interval

2022-10-25T11:37:43Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 11:37, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 19/15~~		\| Name = large undevicesimal major third, Eratosthenes' major third
	~~\| Monzo = 0 -1 -1 0 0 0 0 1~~
	~~\| Cents = 409.24430~~
	\| Name = large undevicesimal major third, ~~<br>~~Eratosthenes' major third
	\| Color name = 19og4, nogu 4th		\| Color name = 19og4, nogu 4th
	~~\| FJS name = d4<sup>19</sup><sub>5</sub>~~
	\| Sound = jid_19_15_pluck_adu_dr220.mp3		\| Sound = jid_19_15_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:19-limit]]~~
	[[Category:Major third]]		[[Category:Major third]]
	[[Category:Third]]		[[Category:Third]]
	[[Category:Eratosthenes]]		[[Category:Eratosthenes]]

Fredg999 category edits: Removing from Category:Pages with internal sound examples using Cat-a-lot

2022-02-22T23:46:43Z

Removing from Category:Pages with internal sound examples using Cat-a-lot

← Older revision		Revision as of 23:46, 22 February 2022
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	[[Category:Third]]		[[Category:Third]]
	[[Category:Eratosthenes]]		[[Category:Eratosthenes]]
	~~[[Category:Pages with internal sound examples]]~~

Fredg999: Misc. edits, categories

2021-12-15T03:45:39Z

Misc. edits, categories

← Older revision		Revision as of 03:45, 15 December 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 19/15		\| Ratio = 19/15
	\| Monzo = 0 -1 -1 0 0 0 0 1		\| Monzo = 0 -1 -1 0 0 0 0 1
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	}}		}}

	'''19/15''', the '''large undevicesimal major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size. In [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished fourth'', obtained by adding [[81/80]] and [[513/512]] to the [[6561/4096\|Pythagorean diminished fourth]], but it may be called the '''Eratosthenes' major third''' as it is sharper than the [[81/64\|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.		'''19/15''', the '''large undevicesimal major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished fourth'', obtained by adding [[81/80]] and [[513/512]] to the [[6561/4096\|Pythagorean diminished fourth]], but it may be called the '''Eratosthenes' major third''' as it is sharper than the [[81/64\|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.

	== See also ==		== See also ==
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	[[Category:19-limit]]		[[Category:19-limit]]
	~~[[Category:Interval]]~~
	[[Category:Major third]]		[[Category:Major third]]
	[[Category:Third]]		[[Category:Third]]
	[[Category:Eratosthenes]]		[[Category:Eratosthenes]]
	[[Category:~~Listen~~]]		[[Category:Pages with internal sound examples]]

FloraC: Clarification

2021-02-06T07:21:10Z

Clarification

← Older revision		Revision as of 07:21, 6 February 2021
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	}}		}}

	'''19/15''', the '''large undevicesimal ~~major third''' or '''Eratosthenes'~~ major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size, ~~that~~ is sharper than the [[81/64\|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.		'''19/15''', the '''large undevicesimal major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size. In [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished fourth'', obtained by adding [[81/80]] and [[513/512]] to the [[6561/4096\|Pythagorean diminished fourth]], but it may be called the '''Eratosthenes' major third''' as it is sharper than the [[81/64\|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.

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

FloraC: "greater" > "large" in accordance with scala

2021-02-05T12:50:05Z

"greater" > "large" in accordance with scala

← Older revision		Revision as of 12:50, 5 February 2021
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	\| Monzo = 0 -1 -1 0 0 0 0 1		\| Monzo = 0 -1 -1 0 0 0 0 1
	\| Cents = 409.24430		\| Cents = 409.24430
	\| Name = ~~greater~~ undevicesimal major third, <br>Eratosthenes' major third		\| Name = large undevicesimal major third, <br>Eratosthenes' major third
	\| Color name = 19og4, nogu 4th		\| Color name = 19og4, nogu 4th
	\| FJS name = d4<sup>19</sup><sub>5</sub>		\| FJS name = d4<sup>19</sup><sub>5</sub>
Line 10:		Line 10:
	}}		}}

	'''19/15''', the '''~~greater~~ undevicesimal major third''' or '''Eratosthenes' major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size, that is sharper than the [[81/64\|Pythagorean major third]] by the ''password'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.		'''19/15''', the '''large undevicesimal major third''' or '''Eratosthenes' major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size, that is sharper than the [[81/64\|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.

	== See also ==		== See also ==
	* [[30/19]] – its [[octave complement]]		* [[30/19]] – its [[octave complement]]
	* [[24/19]] – the ~~lesser~~ undevicesimal major third		* [[24/19]] – the small undevicesimal major third
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

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	[[Category:Eratosthenes]]		[[Category:Eratosthenes]]
	[[Category:Listen]]		[[Category:Listen]]

	~~[[Category:Todo:expand]]~~

FloraC: I figured any interval involving 19/5 may be called eratosthenes

2021-02-05T12:39:39Z

I figured any interval involving 19/5 may be called eratosthenes

← Older revision		Revision as of 12:39, 5 February 2021
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	\| Monzo = 0 -1 -1 0 0 0 0 1		\| Monzo = 0 -1 -1 0 0 0 0 1
	\| Cents = 409.24430		\| Cents = 409.24430
	\| Name = greater undevicesimal major third		\| Name = greater undevicesimal major third, <br>Eratosthenes' major third
	\| Color name = 19og4, nogu 4th		\| Color name = 19og4, nogu 4th
	\| FJS name = d4<sup>19</sup><sub>5</sub>		\| FJS name = d4<sup>19</sup><sub>5</sub>
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	}}		}}

	'''19/15''', the '''greater undevicesimal major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size, that is sharper than the [[Pythagorean]] ~~major third~~ by the ''password'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.		'''19/15''', the '''greater undevicesimal major third''' or '''Eratosthenes' major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size, that is sharper than the [[81/64\|Pythagorean major third]] by the ''password'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.

	== See also ==		== See also ==
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	[[Category:Major third]]		[[Category:Major third]]
	[[Category:Third]]		[[Category:Third]]
	[[Category:~~Password~~]]		[[Category:Eratosthenes]]
	[[Category:Listen]]		[[Category:Listen]]

	[[Category:Todo:expand]]		[[Category:Todo:expand]]