Parimo - Revision history

BudjarnLambeth at 02:38, 4 November 2024

2024-11-04T02:38:11Z

← Older revision		Revision as of 02:38, 4 November 2024
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	== Notes ==		== Notes ==

	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after composers]]
			[[Category:Commas named after music theorists]]

BudjarnLambeth at 00:05, 4 November 2024

2024-11-04T00:05:20Z

← Older revision		Revision as of 00:05, 4 November 2024
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	== Notes ==		== Notes ==

			[[Category:Commas named after individuals]]

FloraC: +naming, a theory

2023-07-20T08:30:24Z

+naming, a theory

← Older revision		Revision as of 08:30, 20 July 2023
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	[[Badness]]: 0.00712 × 10<sup>-3</sup>		[[Badness]]: 0.00712 × 10<sup>-3</sup>

			== Etymology ==
			It is yet to be found out how this comma was named. However, as [[Petr Pařízek]] was the first to take note of it<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_100716.html Yahoo! Tuning Group \| ''The two smallest commas I have found so far'']</ref> and as it was tempered out in the [[mohaha]] temperament, it could be conjectured that the name was a contraction of ''Pařízek'' and ''mohaha''.

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

			== Notes ==

FloraC: Rework intro and update keys

2023-07-20T08:25:40Z

Rework intro and update keys

← Older revision		Revision as of 08:25, 20 July 2023
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	\| Comma = yes		\| Comma = yes
	}}		}}
			The '''parimo''' ([[ratio]]: 1771561/1771470, {{monzo\|legend=1\| -1 -11 -1 0 6 }}) is an [[Unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] with a value of approximately 0.09{{cent}}. It is the amount by which an [[octave-reduced]] stack of six [[11/9]] neutral thirds exceeds [[5/3]], as well as the amount by which a stack of three [[243/242\|rastmas]] falls short of a [[81/80\|syntonic comma]].
	The '''parimo''' ~~is an~~ [[~~11-limit~~]] ~~[[unnoticeable comma]] with a ratio of '''~~1771561/1771470~~''' =~~ {{~~Monzo~~\|-1 -11 -1 0 6}} ~~and~~ a value of approximately 0.09 [[cent~~\|cents]]~~. It is the amount by which an [[octave-reduced]] stack of six [[11/9]] neutral thirds exceeds [[5/3]], as well as the amount by which a stack of three [[243/242\|rastmas]] falls short of a [[81/80\|syntonic comma]].

	== Temperaments ==		== Temperaments ==
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	=== Parimic ===		=== Parimic ===
	Subgroup: 2.3.5.7.11		[[Subgroup]]: 2.3.5.7.11

	[[Comma list]]: 1771561/1771470		[[Comma list]]: 1771561/1771470

	~~[[Mapping]]: [~~{{~~val~~\| 1 0 5 0 1 ~~}}, {{val~~\| 0 1 1 0 2 ~~}}, {{val~~\| 0 0 -6 0 -1 ~~}}, {{val~~\| 0 0 0 1 0 }}]		{{Mapping\|legend=1\| 1 0 5 0 1 \| 0 1 1 0 2 \| 0 0 -6 0 -1 \| 0 0 0 1 0 }}

	~~Mapping~~ generators: ~2, ~3, ~18/11, ~7		: mapping generators: ~2, ~3, ~18/11, ~7

	[[POTE ~~generator~~]]s: ~3/2 = 701.9581, ~18/11 = 852.6073		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 701.9581, ~18/11 = 852.6073

	{{Optimal ET sequence\|legend=1\| 14c, 17c, 24, 31, 90e, 107cde, 114e, 121, 145, 152, 311, 342, 836, 1178, 1354, 1506, 1817, 1848, 2684, 3665, 4007, 4501, 4843, 6349, 6691, 21921, 28612, 35303, 48343, 63573, 70264e, 76955e, 98876e, 105567e }}		{{Optimal ET sequence\|legend=1\| 14c, 17c, 24, 31, 90e, 107cde, 114e, 121, 145, 152, 311, 342, 836, 1178, 1354, 1506, 1817, 1848, 2684, 3665, 4007, 4501, 4843, 6349, 6691, 21921, 28612, 35303, 48343, 63573, 70264e, 76955e, 98876e, 105567e }}
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	=== Tritomere ===		=== Tritomere ===
	Subgroup: 2.3.5.11		[[Subgroup]]: 2.3.5.11

	[[Comma list]]: 1771561/1771470		[[Comma list]]: 1771561/1771470

	~~[[Sval]] [[mapping]]: [~~{{~~val~~\| 1 0 5 1 ~~}}, {{val~~\| 0 1 1 2 ~~}}, {{val~~\| 0 0 -6 -1 }}]		{{Mapping\|legend=2\| 1 0 5 1 \| 0 1 1 2 \| 0 0 -6 -1 }}

	~~Sval~~ mapping generators: ~2, ~3, ~18/11		: sval mapping generators: ~2, ~3, ~18/11

	[[POTE ~~generator~~]]s: ~3/2 = 701.9581, ~18/11 = 852.6073		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 701.9581, ~18/11 = 852.6073

	{{Optimal ET sequence\|legend=1\| 7, 17c, 24, 31, 69e, 90e, 97, 107ce, 114e, 121, 145, 152, 311, 335, 342, 494, 677, 1019, 1171, 3855, 4349, 5026, 5520, 6691, 7862, 36474, 37645, 44336, 45507, 53369, 61231 }}		{{Optimal ET sequence\|legend=1\| 7, 17c, 24, 31, 69e, 90e, 97, 107ce, 114e, 121, 145, 152, 311, 335, 342, 494, 677, 1019, 1171, 3855, 4349, 5026, 5520, 6691, 7862, 36474, 37645, 44336, 45507, 53369, 61231 }}

Cmloegcmluin: "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

2023-05-07T18:32:43Z

"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

← Older revision		Revision as of 18:32, 7 May 2023
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	[[POTE generator]]s: ~3/2 = 701.9581, ~18/11 = 852.6073		[[POTE generator]]s: ~3/2 = 701.9581, ~18/11 = 852.6073

	{{~~Val list~~\|legend=1\| 14c, 17c, 24, 31, 90e, 107cde, 114e, 121, 145, 152, 311, 342, 836, 1178, 1354, 1506, 1817, 1848, 2684, 3665, 4007, 4501, 4843, 6349, 6691, 21921, 28612, 35303, 48343, 63573, 70264e, 76955e, 98876e, 105567e }}		{{Optimal ET sequence\|legend=1\| 14c, 17c, 24, 31, 90e, 107cde, 114e, 121, 145, 152, 311, 342, 836, 1178, 1354, 1506, 1817, 1848, 2684, 3665, 4007, 4501, 4843, 6349, 6691, 21921, 28612, 35303, 48343, 63573, 70264e, 76955e, 98876e, 105567e }}

	[[Badness]]: 0.0279 × 10<sup>-6</sup>		[[Badness]]: 0.0279 × 10<sup>-6</sup>
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	[[POTE generator]]s: ~3/2 = 701.9581, ~18/11 = 852.6073		[[POTE generator]]s: ~3/2 = 701.9581, ~18/11 = 852.6073

	{{~~Val list~~\|legend=1\| 7, 17c, 24, 31, 69e, 90e, 97, 107ce, 114e, 121, 145, 152, 311, 335, 342, 494, 677, 1019, 1171, 3855, 4349, 5026, 5520, 6691, 7862, 36474, 37645, 44336, 45507, 53369, 61231 }}		{{Optimal ET sequence\|legend=1\| 7, 17c, 24, 31, 69e, 90e, 97, 107ce, 114e, 121, 145, 152, 311, 335, 342, 494, 677, 1019, 1171, 3855, 4349, 5026, 5520, 6691, 7862, 36474, 37645, 44336, 45507, 53369, 61231 }}

	[[Badness]]: 0.00712 × 10<sup>-3</sup>		[[Badness]]: 0.00712 × 10<sup>-3</sup>

Plumtree: Normalising usage of Infobox Interval

2022-10-25T17:54:26Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:54, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 1771561/1771470		\| Ratio = 1771561/1771470
	~~\| Monzo = -1 -11 -1 0 6~~
	~~\| Cents = 0.08893~~
	\| Name = parimo		\| Name = parimo
	\| Color name = satribilo-agu comma		\| Color name = satribilo-agu comma
	\| ~~FJS name =~~		\| Comma = yes
	~~\| Sound~~ =
	}}		}}

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

	~~[[Category:11-limit]]~~
	~~[[Category:Unnoticeable commas]]~~

Aura at 19:23, 14 June 2022

2022-06-14T19:23:02Z

← Older revision		Revision as of 19:23, 14 June 2022
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	\| Cents = 0.08893		\| Cents = 0.08893
	\| Name = parimo		\| Name = parimo
	\| Color name =		\| Color name = satribilo-agu comma
	\| FJS name =		\| FJS name =
	\| Sound =		\| Sound =

Aura at 11:50, 14 May 2022

2022-05-14T11:50:46Z

← Older revision		Revision as of 11:50, 14 May 2022
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	}}		}}

	The '''parimo''' is an [[11-limit]] [[unnoticeable comma]] with a ratio of '''1771561/1771470''' = {{Monzo\|-1 -11 -1 0 6}} and a value of approximately 0.09 [[cent\|cents]]. It is the amount by which an [[octave-reduced]] stack of ~~five~~ [[11/9]] neutral thirds exceeds [[15/11]], as well as the amount by which a stack of three [[243/242\|rastmas]] falls short of a [[81/80\|syntonic comma]].		The '''parimo''' is an [[11-limit]] [[unnoticeable comma]] with a ratio of '''1771561/1771470''' = {{Monzo\|-1 -11 -1 0 6}} and a value of approximately 0.09 [[cent\|cents]]. It is the amount by which an [[octave-reduced]] stack of six [[11/9]] neutral thirds exceeds [[5/3]], as well as the amount by which a stack of three [[243/242\|rastmas]] falls short of a [[81/80\|syntonic comma]].

	== Temperaments ==		== Temperaments ==

Fredg999 category edits: Moving from Category:Unnoticeable comma to Category:Unnoticeable commas using Cat-a-lot

2022-03-20T22:01:55Z

Moving from Category:Unnoticeable comma to Category:Unnoticeable commas using Cat-a-lot

← Older revision		Revision as of 22:01, 20 March 2022
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	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:Unnoticeable ~~comma~~]]		[[Category:Unnoticeable commas]]

Aura: Another approach option added

2022-01-11T20:56:45Z

Another approach option added

← Older revision		Revision as of 20:56, 11 January 2022
Line 10:		Line 10:
	}}		}}

	The '''parimo''' is an [[11-limit]] [[unnoticeable comma]] with a ratio of '''1771561/1771470''' = {{Monzo\|-1 -11 -1 0 6}} and a value of approximately 0.09 [[cent\|cents]]. It is the amount by which a stack of three [[243/242\|rastmas]] falls short of a [[81/80\|syntonic comma]].		The '''parimo''' is an [[11-limit]] [[unnoticeable comma]] with a ratio of '''1771561/1771470''' = {{Monzo\|-1 -11 -1 0 6}} and a value of approximately 0.09 [[cent\|cents]]. It is the amount by which an [[octave-reduced]] stack of five [[11/9]] neutral thirds exceeds [[15/11]], as well as the amount by which a stack of three [[243/242\|rastmas]] falls short of a [[81/80\|syntonic comma]].

	== Temperaments ==		== Temperaments ==