32/19 - Revision history

Xenllium: /* Approximation */

2026-02-13T21:58:02Z

Approximation

← Older revision		Revision as of 21:58, 13 February 2026
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	'''32/19''' is a [[19-limit]] interval, 902.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the [[27/16\|Pythagorean major sixth]].		'''32/19''' is a [[19-limit]] interval, 902.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the [[27/16\|Pythagorean major sixth]].
	== Approximation ==		== Approximation ==
			32/19 is very accurately approximated by [[121edo]] (91\121).
	{{Interval edo approximation\|32/19}}		{{Interval edo approximation\|32/19}}

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

2025-11-03T13:01:24Z

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

← Older revision		Revision as of 13:01, 3 November 2025
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	'''32/19''' is a [[19-limit]] interval, 902.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the [[27/16\|Pythagorean major sixth]].		'''32/19''' is a [[19-limit]] interval, 902.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the [[27/16\|Pythagorean major sixth]].
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 32/19}}		{{Interval edo approximation\|32/19}}

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

Pailiaq at 07:41, 3 November 2025

2025-11-03T07:41:30Z

← Older revision		Revision as of 07:41, 3 November 2025
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	'''32/19''' is a [[19-limit]] interval, 902.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the [[27/16\|Pythagorean major sixth]].		'''32/19''' is a [[19-limit]] interval, 902.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the [[27/16\|Pythagorean major sixth]].
			== Approximation ==
			{{Interval_Edo_Approximation \| 32/19}}

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

TallKite: added color name

2022-12-04T02:32:59Z

added color name

← Older revision		Revision as of 02:32, 4 December 2022
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	{{Infobox Interval		{{Infobox Interval
	\| Name = utonal major sixth, octave-reduced 19th subharmonic		\| Name = utonal major sixth, octave-reduced 19th subharmonic
			\| Color name = 19u6, inu 6th
	\| Sound = jid_32_19_pluck_adu_dr220.mp3		\| Sound = jid_32_19_pluck_adu_dr220.mp3
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T14:59:39Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:59, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 32/19~~		\| Name = utonal major sixth, octave-reduced 19th subharmonic
	~~\| Monzo = 5 0 0 0 0 0 0 -1~~
	~~\| Cents = 902.48698~~
	\| Name = utonal major sixth, ~~<br>~~ octave-reduced 19th subharmonic
	~~\| Color name =~~
	~~\| FJS name = M6<sub>19</sub>~~
	\| Sound = jid_32_19_pluck_adu_dr220.mp3		\| Sound = jid_32_19_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:19-limit]]~~
	[[Category:Sixth]]		[[Category:Sixth]]
	[[Category:Major sixth]]		[[Category:Major sixth]]
	[[Category:Boethius]]		[[Category:Boethius]]
	~~[[Category:Octave-reduced subharmonics]]~~
	~~{{todo\|add color name}}~~

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

2022-02-22T23:46:45Z

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:Boethius]]		[[Category:Boethius]]
	[[Category:Octave-reduced subharmonics]]		[[Category:Octave-reduced subharmonics]]
	~~[[Category:Pages with internal sound examples]]~~

	{{todo\|add color name}}		{{todo\|add color name}}

Fredg999: Fixed typo, misc. edits, categories

2021-12-16T18:43:05Z

Fixed typo, misc. edits, categories

← Older revision		Revision as of 18:43, 16 December 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 32/19		\| Ratio = 32/19
	\| Monzo = 5 0 0 0 0 0 0 -1		\| Monzo = 5 0 0 0 0 0 0 -1
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	}}		}}

	'''32/19''' is a [[19-limit]] interval, ~~802~~.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the [[27/16\|Pythagorean major sixth]].		'''32/19''' is a [[19-limit]] interval, 902.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the [[27/16\|Pythagorean major sixth]].

	== See also ==		== See also ==
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	[[Category:19-limit]]		[[Category:19-limit]]
	[[Category:~~Interval]]~~		[[Category:Sixth]]
	~~[[Category:Just interval~~]]
	[[Category:Major sixth]]		[[Category:Major sixth]]
	~~[[Category:Sixth]]~~
	[[Category:Boethius]]		[[Category:Boethius]]
	[[Category:~~Listen~~]]		[[Category:Octave-reduced subharmonics]]
			[[Category:Pages with internal sound examples]]

			{{todo\|add color name}}

FloraC: Expansion

2021-02-12T04:54:20Z

Expansion

← Older revision		Revision as of 04:54, 12 February 2021
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	}}		}}

	'''32/19''' is a [[19-limit]] interval, 802.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents).		'''32/19''' is a [[19-limit]] interval, 802.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the [[27/16\|Pythagorean major sixth]].

	== See also ==		== See also ==
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	[[Category:Major sixth]]		[[Category:Major sixth]]
	[[Category:Sixth]]		[[Category:Sixth]]
			[[Category:Boethius]]
	[[Category:Listen]]		[[Category:Listen]]

	~~[[Category:todo:expand]]~~
	~~[[Category:todo:improve synopsis]]~~

FloraC: I added the FJS name the wrong place :)

2021-02-05T12:53:35Z

I added the FJS name the wrong place :)

← Older revision		Revision as of 12:53, 5 February 2021
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	\| Cents = 902.48698		\| Cents = 902.48698
	\| Name = utonal major sixth, <br> octave-reduced 19th subharmonic		\| Name = utonal major sixth, <br> octave-reduced 19th subharmonic
	\| Color name = M6<sub>19</sub>		\| Color name =
			\| FJS name = M6<sub>19</sub>
	\| Sound = jid_32_19_pluck_adu_dr220.mp3		\| Sound = jid_32_19_pluck_adu_dr220.mp3
	}}		}}

FloraC: +FJS name

2021-02-05T10:37:36Z

+FJS name

← Older revision		Revision as of 10:37, 5 February 2021
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	\| Cents = 902.48698		\| Cents = 902.48698
	\| Name = utonal major sixth, <br> octave-reduced 19th subharmonic		\| Name = utonal major sixth, <br> octave-reduced 19th subharmonic
	\| Color name =		\| Color name = M6<sub>19</sub>
	\| Sound = jid_32_19_pluck_adu_dr220.mp3		\| Sound = jid_32_19_pluck_adu_dr220.mp3
	}}		}}

	'''32/19''' is a [[19-limit]] interval, 802.5 [[~~Cent\|cents~~]] in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents).		'''32/19''' is a [[19-limit]] interval, 802.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents).

	== See also ==		== See also ==
			* [[19/16]] – its [[octave complement]]
	* [[19/16]] -- its [[octave complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	[[Category:19-limit]]		[[Category:19-limit]]
	[[Category:Interval ~~ratio~~]]		[[Category:Interval]]
	[[Category:Just interval]]		[[Category:Just interval]]
	[[Category:Major sixth]]		[[Category:Major sixth]]