19/16 - Revision history

Godtone: /* Approximation */ horrible. do better

2026-06-07T01:06:22Z

Approximation: horrible. do better

← Older revision		Revision as of 01:06, 7 June 2026
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	== Approximation ==		== Approximation ==
	19/16 is very accurately approximated by [[121edo]] (30\121), although technically there is a slight difference, as that of 121edo is 0.007645 cents sharper.		19/16 is very accurately approximated by [[121edo]] (30\121), although technically there is a slight difference, as that of 121edo is 0.007645 cents sharper.
	~~{{Interval edo approximation\|19/16}}~~

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

Hotcrystal0: use more accurate name of 513/512

2026-05-03T01:55:19Z

use more accurate name of 513/512

← Older revision		Revision as of 01:55, 3 May 2026
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	}}		}}

	'''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal ~~comma~~'' aka ''Boethius' comma'' ([[513/512]]) above the [[32/27\|Pythagorean minor third]].		'''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal schisma'' aka ''Boethius' comma'' ([[513/512]]) above the [[32/27\|Pythagorean minor third]].

	== Approximation ==		== Approximation ==

Xenllium at 08:54, 13 February 2026

2026-02-13T08:54:00Z

← Older revision		Revision as of 08:54, 13 February 2026
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	{{Infobox ~~Interval~~		{{Infobox interval
	\| Name = otonal minor third, octave-reduced 19th harmonic		\| Name = otonal minor third, octave-reduced 19th harmonic
	\| Color name = 19o3, ino 3rd		\| Color name = 19o3, ino 3rd
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	== Approximation ==		== Approximation ==
	~~Following edos~~ (~~up to 200~~) ~~contain good approximations~~ of ~~the interval 19/16~~.		19/16 is very accurately approximated by [[121edo]] (30\121), although technically there is a slight difference, as that of 121edo is 0.007645 cents sharper.
	{{Interval edo approximation\|19/16~~\|tolerance=8\|min_edo=4\|max_edo=200~~}}		{{Interval edo approximation\|19/16}}

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

Xenllium at 09:38, 24 January 2026

2026-01-24T09:38:56Z

← Older revision		Revision as of 09:38, 24 January 2026
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	'''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) above the [[32/27\|Pythagorean minor third]].		'''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) above the [[32/27\|Pythagorean minor third]].

	== Approximation ==		== Approximation ==
	{{Interval edo approximation\|19/16}}		Following edos (up to 200) contain good approximations of the interval 19/16.
			{{Interval edo approximation\|19/16\|tolerance=8\|min_edo=4\|max_edo=200}}

	== See also ==		== See also ==
	* [[32/19]] – its [[octave complement]]		* [[32/19]] – its [[octave complement]]

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

2025-11-03T13:02:00Z

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

← Older revision		Revision as of 13:02, 3 November 2025
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	'''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) above the [[32/27\|Pythagorean minor third]].		'''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) above the [[32/27\|Pythagorean minor third]].
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 19/16}}		{{Interval edo approximation\|19/16}}
	== See also ==		== See also ==
	* [[32/19]] – its [[octave complement]]		* [[32/19]] – its [[octave complement]]

Pailiaq at 07:01, 3 November 2025

2025-11-03T07:01:28Z

← Older revision		Revision as of 07:01, 3 November 2025
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	'''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) above the [[32/27\|Pythagorean minor third]].		'''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) above the [[32/27\|Pythagorean minor third]].
			== Approximation ==
			{{Interval_Edo_Approximation \| 19/16}}
	== See also ==		== See also ==
	* [[32/19]] – its [[octave complement]]		* [[32/19]] – its [[octave complement]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T14:21:02Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:21, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 19/16~~		\| Name = otonal minor third, octave-reduced 19th harmonic
	~~\| Monzo = -4 0 0 0 0 0 0 1~~
	~~\| Cents = 297.51302~~
	\| Name = otonal minor third, ~~<br>~~ octave-reduced 19th harmonic
	\| Color name = 19o3, ino 3rd		\| Color name = 19o3, ino 3rd
	~~\| FJS name = m3<sup>19</sup>~~
	\| Sound = jid_19_16_pluck_adu_dr220.mp3		\| Sound = jid_19_16_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:19-limit]]~~
	[[Category:Third]]		[[Category:Third]]
	[[Category:Minor third]]		[[Category:Minor third]]
	[[Category:Boethius]]		[[Category:Boethius]]
	~~[[Category:Octave-reduced harmonics]]~~

Fredg999: Categories

2022-02-22T17:18:37Z

Fredg999: Added color name, Misc. edits, categories

2021-12-15T03:49:40Z

Added color name, Misc. edits, categories

← Older revision		Revision as of 03:49, 15 December 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 19/16		\| Ratio = 19/16
	\| Monzo = -4 0 0 0 0 0 0 1		\| Monzo = -4 0 0 0 0 0 0 1
	\| Cents = 297.51302		\| Cents = 297.51302
	\| Name = otonal minor third, <br> octave-reduced 19th harmonic		\| Name = otonal minor third, <br> octave-reduced 19th harmonic
	\| Color name =		\| Color name = 19o3, ino 3rd
	\| FJS name = m3<sup>19</sup>		\| FJS name = m3<sup>19</sup>
	\| Sound = jid_19_16_pluck_adu_dr220.mp3		\| Sound = jid_19_16_pluck_adu_dr220.mp3
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	[[Category:19-limit]]		[[Category:19-limit]]
	~~[[Category:Interval]]~~
	~~[[Category:Just interval]]~~
	[[Category:Minor third]]		[[Category:Minor third]]
	[[Category:Third]]		[[Category:Third]]
	[[Category:Listen]]		[[Category:Listen]]
	[[Category:Boethius]]		[[Category:Boethius]]
	[[Category:~~Overtone~~]]		[[Category:Octave-reduced harmonics]]
	[[Category:Over-2]]		[[Category:Over-2]]
			[[Category:Pages with internal sound examples]]

KingHyperio at 15:58, 31 July 2021

2021-07-31T15:58:39Z

← Older revision		Revision as of 15:58, 31 July 2021
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	\| Icon =		\| Icon =
	\| Ratio = 19/16		\| Ratio = 19/16
	\| Monzo = 4 0 0 0 0 0 0 1		\| Monzo = -4 0 0 0 0 0 0 1
	\| Cents = 297.51302		\| Cents = 297.51302
	\| Name = otonal minor third, <br> octave-reduced 19th harmonic		\| Name = otonal minor third, <br> octave-reduced 19th harmonic
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	}}		}}

	'''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) above the [[32/27\|Pythagorean minor third]].		'''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) above the [[32/27\|Pythagorean minor third]].

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

← Older revision		Revision as of 17:18, 22 February 2022
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	[[Category:19-limit]]		[[Category:19-limit]]
			[[Category:Third]]
	[[Category:Minor third]]		[[Category:Minor third]]
	~~[[Category:Third]]~~
	~~[[Category:Listen]]~~
	[[Category:Boethius]]		[[Category:Boethius]]
	[[Category:Octave-reduced harmonics]]		[[Category:Octave-reduced harmonics]]
	~~[[Category:Over-2]]~~
	~~[[Category:Pages with internal sound examples]]~~