Enneadeca - Revision history

FloraC: - trivially supporting edos

2026-06-18T08:13:49Z

- trivially supporting edos

← Older revision		Revision as of 08:13, 18 June 2026
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	== Temperament ==		== Temperament ==
	[[Tempering out]] the enneadeca leads to the 5-limit [[enneadecal]] temperament, [[support]]ed by equal divisions divisible by 19 such as ~~[[19edo]], [[38edo]], [[57edo]], [[76edo]], [[114edo]],~~ [[152edo]], [[171edo]], [[190edo~~]] and [[228edo~~]].		[[Tempering out]] the enneadeca leads to the 5-limit [[enneadecal]] temperament, [[support]]ed by equal divisions divisible by 19 such as [[152edo]], [[171edo]], and [[190edo]].

	== Etymology ==		== Etymology ==

FloraC: I haven't seen anyone use the term "19-tone-comma". It's not very clear anyway

2026-06-18T08:11:57Z

I haven't seen anyone use the term "19-tone-comma". It's not very clear anyway

← Older revision		Revision as of 08:11, 18 June 2026
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	{{Infobox Interval		{{Infobox Interval
	\| Monzo = -14 -19 19		\| Monzo = -14 -19 19
	\| Name = enneadeca~~, 19-tone-comma~~		\| Name = enneadeca
	\| Color name = y<sup>19</sup>-4, Neyo comma		\| Color name = y<sup>19</sup>-4, Neyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}
	{{~~Monzo~~\| -14 -19 19 }}~~, the '''enneadeca''' or '''19-tone-comma''',~~ is an [[unnoticeable comma\|unnoticeable]] [[5-limit]] [[comma]] of 2.816 [[cent]]s ~~which~~ is the amount by which nineteen [[6/5\|classical minor thirds]] fall short of five [[2/1\|octaves]], that is, 2<sup>5</sup>/(6/5)<sup>19</sup>.		The '''enneadeca''' ({{monzo\|legend=1\| -14 -19 19 }}) is an [[unnoticeable comma\|unnoticeable]] [[5-limit]] [[comma]] of 2.816 [[cent]]s. It is the amount by which nineteen [[6/5\|classical minor thirds]] fall short of five [[2/1\|octaves]], that is, 2<sup>5</sup>/(6/5)<sup>19</sup>.

	== Temperament ==		== Temperament ==
	Tempering out the enneadeca leads to the [[enneadecal]] temperament, ~~supported~~ by equal divisions divisible by 19 such as [[19edo]], [[38edo]], [[57edo]], [[76edo]], [[114edo]], [[152edo]], [[171edo]], [[190edo]] and [[228edo]].		[[Tempering out]] the enneadeca leads to the 5-limit [[enneadecal]] temperament, [[support]]ed by equal divisions divisible by 19 such as [[19edo]], [[38edo]], [[57edo]], [[76edo]], [[114edo]], [[152edo]], [[171edo]], [[190edo]] and [[228edo]].

	== Etymology ==		== Etymology ==
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	* [[Septimal enneadeca]]		* [[Septimal enneadeca]]

	== ~~Notes~~ ==		== References ==

	[[Category:Enneadecal]]		[[Category:Enneadecal]]
	[[Category:Commas named for their periods per equave]]		[[Category:Commas named for their periods per equave]]

FloraC: Rework intro

2025-04-17T05:48:06Z

Rework intro

← Older revision		Revision as of 05:48, 17 April 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
	{{Monzo\| -14 -19 19 }}, the '''enneadeca''' or '''19-tone-comma''', is an ~~interval~~ of 2.816 ~~cents~~ which is the amount by which nineteen minor thirds fall short of five octaves, that is, 2<sup>5</sup>/(6/5)<sup>19</sup>.		{{Monzo\| -14 -19 19 }}, the '''enneadeca''' or '''19-tone-comma''', is an [[unnoticeable comma\|unnoticeable]] [[5-limit]] [[comma]] of 2.816 [[cent]]s which is the amount by which nineteen [[6/5\|classical minor thirds]] fall short of five [[2/1\|octaves]], that is, 2<sup>5</sup>/(6/5)<sup>19</sup>.

	== Temperament ==		== Temperament ==
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	== See also ==		== See also ==
	* [[Unnoticeable comma]]
	* [[Septimal enneadeca]]		* [[Septimal enneadeca]]

FloraC: +etymology

2025-04-17T05:46:49Z

+etymology

← Older revision		Revision as of 05:46, 17 April 2025
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	== Temperament ==		== Temperament ==
	Tempering out the enneadeca leads to the [[enneadecal~~\|enneadecal temperament~~]], supported by equal divisions divisible by 19 such as [[19edo]], [[38edo]], [[57edo]], [[76edo]], [[114edo]], [[152edo]], [[171edo]], [[190edo]] and [[228edo]].		Tempering out the enneadeca leads to the [[enneadecal]] temperament, supported by equal divisions divisible by 19 such as [[19edo]], [[38edo]], [[57edo]], [[76edo]], [[114edo]], [[152edo]], [[171edo]], [[190edo]] and [[228edo]].

			== Etymology ==
			This comma was named by [[Gene Ward Smith]] in 2001 in terms of the corresponding temperament, ''enneadecal''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2121.html Yahoo! Tuning Group \| ''Shismic & co'']</ref>, for the temperament has 19 periods per octave. The comma was at one point dubbed ''enneadecima''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group \| ''5-limit comma names'']</ref>, though it was ''enneadeca'' that stuck.

	== See also ==		== See also ==
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[Septimal enneadeca]]		* [[Septimal enneadeca]]

			== Notes ==

	[[Category:Enneadecal]]		[[Category:Enneadecal]]
	[[Category:Commas named for their periods per equave]]		[[Category:Commas named for their periods per equave]]

BudjarnLambeth at 00:47, 4 November 2024

2024-11-04T00:47:47Z

← Older revision		Revision as of 00:47, 4 November 2024
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	[[Category:Enneadecal]]		[[Category:Enneadecal]]
	[[Category:Commas named for their periods per equave]]		[[Category:Commas named for their periods per equave]]
	~~[[Category:Commas named for the intervals they stack]]~~

BudjarnLambeth at 00:20, 4 November 2024

2024-11-04T00:20:00Z

← Older revision		Revision as of 00:20, 4 November 2024
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	[[Category:Enneadecal]]		[[Category:Enneadecal]]
	[[Category:Commas named for their ~~regular temperament properties~~]]		[[Category:Commas named for their periods per equave]]
			[[Category:Commas named for the intervals they stack]]

BudjarnLambeth at 13:29, 3 November 2024

2024-11-03T13:29:54Z

← Older revision		Revision as of 13:29, 3 November 2024
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	[[Category:Enneadecal]]		[[Category:Enneadecal]]
			[[Category:Commas named for their regular temperament properties]]

Godtone at 23:56, 14 March 2024

2024-03-14T23:56:01Z

← Older revision		Revision as of 23:56, 14 March 2024
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	== See also ==		== See also ==
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
			* [[Septimal enneadeca]]

	[[Category:Enneadecal]]		[[Category:Enneadecal]]

TallKite: added color name

2022-12-29T03:03:43Z

added color name

← Older revision		Revision as of 03:03, 29 December 2022
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	\| Monzo = -14 -19 19		\| Monzo = -14 -19 19
	\| Name = enneadeca, 19-tone-comma		\| Name = enneadeca, 19-tone-comma
			\| Color name = y<sup>19</sup>-4, Neyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Infobox Interval added

2022-10-27T15:51:24Z

Infobox Interval added

← Older revision		Revision as of 15:51, 27 October 2022
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			{{Infobox Interval
			\| Monzo = -14 -19 19
			\| Name = enneadeca, 19-tone-comma
			\| Comma = yes
			}}
	{{Monzo\| -14 -19 19 }}, the '''enneadeca''' or '''19-tone-comma''', is an interval of 2.816 cents which is the amount by which nineteen minor thirds fall short of five octaves, that is, 2<sup>5</sup>/(6/5)<sup>19</sup>.		{{Monzo\| -14 -19 19 }}, the '''enneadeca''' or '''19-tone-comma''', is an interval of 2.816 cents which is the amount by which nineteen minor thirds fall short of five octaves, that is, 2<sup>5</sup>/(6/5)<sup>19</sup>.

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	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]

	~~[[Category:5-limit]]~~
	~~[[Category:Unnoticeable commas]]~~
	[[Category:Enneadecal]]		[[Category:Enneadecal]]