19683/16384 - Revision history

FloraC: Undo revision 211135 by M1k1 H2tsun2 (talk)

2025-09-27T11:52:22Z

Undo revision 211135 by M1k1 H2tsun2 (talk)

← Older revision		Revision as of 11:52, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~Threerish augmented second,~~ Pythagorean augmented second, Evadairean comma		\| Name = Pythagorean augmented second, Evadairean comma
	\| Color name = Lw2, lawa 2nd		\| Color name = Lw2, lawa 2nd
	}}		}}

M1k1 H2tsun2: add it them

2025-09-27T10:50:17Z

add it them

← Older revision		Revision as of 10:50, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Pythagorean augmented second, Evadairean comma		\| Name = Threerish augmented second, Pythagorean augmented second, Evadairean comma
	\| Color name = Lw2, lawa 2nd		\| Color name = Lw2, lawa 2nd
	}}		}}

Fredg999: Fix capitalization in color name

2024-07-13T15:41:20Z

Fix capitalization in color name

← Older revision		Revision as of 15:41, 13 July 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Pythagorean augmented second, Evadairean comma		\| Name = Pythagorean augmented second, Evadairean comma
	\| Color name = ~~lw2~~, ~~Lawa~~ 2nd		\| Color name = Lw2, lawa 2nd
	}}		}}

Aura at 11:57, 13 July 2024

2024-07-13T11:57:10Z

← Older revision		Revision as of 11:57, 13 July 2024
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	}}		}}

	The '''Pythagorean augmented ~~2nd~~''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant and some may consider it a minor third (see [[Interval region]]).		The '''Pythagorean augmented second''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant and some may consider it a minor third (see [[Interval region]]).

	== Temperaments ==		== Temperaments ==

Aura at 11:53, 13 July 2024

2024-07-13T11:53:30Z

← Older revision		Revision as of 11:53, 13 July 2024
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	== See also ==		== See also ==
			* [[32768/19683]] – its [[octave complement]]
	* [[8192/6561]] – its [[fifth complement]]		* [[8192/6561]] – its [[fifth complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Nick Vuci: Cleaned it up and updated link from "Extended-diatonic interval names" to more comprehensive "Interval region" page.

2024-07-13T09:48:13Z

Cleaned it up and updated link from "Extended-diatonic interval names" to more comprehensive "Interval region" page.

← Older revision		Revision as of 09:48, 13 July 2024
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	}}		}}

	The '''Pythagorean augmented 2nd''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant~~. According to [[User:Aura\|Aura]], while 19683/16384~~ may ~~take the place of the classic minor third in chords, its status as an augmented second means that it has a different function in terms of voice-leading. According to Vector,~~ it ~~is itself~~ a minor third ~~due to being within the range of other accepted minor thirds, and its status as an augmented second is only in the context of a Pythagorean diatonic system~~.		The '''Pythagorean augmented 2nd''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant and some may consider it a minor third (see [[Interval region]]).

	== Temperaments ==		== Temperaments ==

VectorGraphics at 03:40, 13 July 2024

2024-07-13T03:40:58Z

← Older revision		Revision as of 03:40, 13 July 2024
Line 4:		Line 4:
	}}		}}

	The '''Pythagorean augmented 2nd''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant. According to [[User:Aura\|Aura]], while 19683/16384 may take the place of the classic minor third in chords, its status as an augmented second means that it has a different function in terms of voice-leading.		The '''Pythagorean augmented 2nd''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant. According to [[User:Aura\|Aura]], while 19683/16384 may take the place of the classic minor third in chords, its status as an augmented second means that it has a different function in terms of voice-leading. According to Vector, it is itself a minor third due to being within the range of other accepted minor thirds, and its status as an augmented second is only in the context of a Pythagorean diatonic system.

	== Temperaments ==		== Temperaments ==

FloraC: Clarify and request clarification

2024-07-12T11:46:46Z

Clarify and request clarification

← Older revision		Revision as of 11:46, 12 July 2024
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	== Temperaments ==		== Temperaments ==
	When this ratio is taken as a comma to be tempered out, it produces the [[tervenna]] temperament, and has been named the '''Evadairean comma''' (by analogy with the Pythagorean comma not sharing its name with compton temperament). Edos tempering it out include [[9edo]], as well as [[18edo]] if its flat fifth is used. ~~If it is~~ used as a generator~~, it produces~~ [[~~Hanson~~]].		When this ratio is taken as a comma to be tempered out, it produces the [[tervenna]] temperament, and has been named the '''Evadairean comma''' (by analogy with the Pythagorean comma not sharing its name with compton temperament)<!-- who is Evadairean? -->. Edos tempering it out include [[9edo]], as well as [[18edo]] if its flat fifth is used. It can be used as a generator for [[hanson]].

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

Aura: Deleted the superscript as the answer to the question is right there in the infobox.

2024-07-12T03:16:23Z

Deleted the superscript as the answer to the question is right there in the infobox.

← Older revision		Revision as of 03:16, 12 July 2024
Line 4:		Line 4:
	}}		}}

	The '''Pythagorean augmented 2nd''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant. According to [[User:Aura\|Aura]], while 19683/16384 may take the place of the classic minor third in chords, its status as a augmented second~~<sup>[according to what?]</sup>~~ means that it has a different function in terms of voice-leading.		The '''Pythagorean augmented 2nd''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant. According to [[User:Aura\|Aura]], while 19683/16384 may take the place of the classic minor third in chords, its status as an augmented second means that it has a different function in terms of voice-leading.

	== Temperaments ==		== Temperaments ==

VectorGraphics at 01:54, 12 July 2024

2024-07-12T01:54:50Z

← Older revision		Revision as of 01:54, 12 July 2024
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	\| Name = Pythagorean augmented second		\| Name = Pythagorean augmented second, Evadairean comma
	\| Color name = lw2, Lawa 2nd		\| Color name = lw2, Lawa 2nd
	}}		}}

	The '''Pythagorean augmented 2nd''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant. According to [[User:Aura\|Aura]], while 19683/16384 may take the place of the classic minor third in chords, its status as a augmented second means that it has a different function in terms of voice-leading. ~~If it~~ is tempered out, ~~you set~~ the ~~fifth to 5/9~~ and ~~divide~~ the ~~octave into 9 parts~~, ~~although only 9edo does this in it's patent val~~. If it is used as a generator, it produces [[Hanson]].		The '''Pythagorean augmented 2nd''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant. According to [[User:Aura\|Aura]], while 19683/16384 may take the place of the classic minor third in chords, its status as a augmented second<sup>[according to what?]</sup> means that it has a different function in terms of voice-leading.

			== Temperaments ==
			When this ratio is taken as a comma to be tempered out, it produces the [[tervenna]] temperament, and has been named the '''Evadairean comma''' (by analogy with the Pythagorean comma not sharing its name with compton temperament). Edos tempering it out include [[9edo]], as well as [[18edo]] if its flat fifth is used. If it is used as a generator, it produces [[Hanson]].

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