27/16 - Revision history

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

2025-11-03T13:01:58Z

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

← Older revision		Revision as of 13:01, 3 November 2025
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	The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) and reducing by one [[octave]]. Compared to the more typical [[5/3]] which is narrower by [[81/80]], this interval is more [[dissonant]], with a [[harmonic entropy]] level roughly on par with that of [[6/5]].		The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) and reducing by one [[octave]]. Compared to the more typical [[5/3]] which is narrower by [[81/80]], this interval is more [[dissonant]], with a [[harmonic entropy]] level roughly on par with that of [[6/5]].
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 27/16}}		{{Interval edo approximation\|27/16}}

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

Pailiaq at 07:41, 3 November 2025

2025-11-03T07:41:38Z

← Older revision		Revision as of 07:41, 3 November 2025
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	The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) and reducing by one [[octave]]. Compared to the more typical [[5/3]] which is narrower by [[81/80]], this interval is more [[dissonant]], with a [[harmonic entropy]] level roughly on par with that of [[6/5]].		The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) and reducing by one [[octave]]. Compared to the more typical [[5/3]] which is narrower by [[81/80]], this interval is more [[dissonant]], with a [[harmonic entropy]] level roughly on par with that of [[6/5]].
			== Approximation ==
			{{Interval_Edo_Approximation \| 27/16}}

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

TallKite: remove off-topic content

2025-10-30T01:55:44Z

remove off-topic content

← Older revision		Revision as of 01:55, 30 October 2025
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	}}		}}

	The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) and reducing by one [[octave]]. Compared to the more typical [[5/3]] ~~- with~~ which it is ~~conflated in~~ [[~~meantone~~]] - this interval is more [[dissonant]], with a [[harmonic entropy]] level roughly on par with that of [[6/5]]. While many musicians prefer to use 5/3 as the major sixth interval above the [[tonic]] in a [[diatonic]] context even in non-meantone settings, [[Aura]] is known to prefer this interval in those same contexts, though he still uses 5/3 as major sixth interval between certain non-tonic notes.		The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) and reducing by one [[octave]]. Compared to the more typical [[5/3]] which is narrower by [[81/80]], this interval is more [[dissonant]], with a [[harmonic entropy]] level roughly on par with that of [[6/5]].

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

FloraC: Undo revision 211126 by M1k1 H2tsun2 (talk)

2025-09-27T11:48:05Z

Undo revision 211126 by M1k1 H2tsun2 (talk)

← Older revision		Revision as of 11:48, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~Threerish major sixth,~~ Pythagorean major sixth		\| Name = Pythagorean major sixth
	\| Color name = w6, wa 6th		\| Color name = w6, wa 6th
	\| Sound = jid_27_16_pluck_adu_dr220.mp3		\| Sound = jid_27_16_pluck_adu_dr220.mp3

M1k1 H2tsun2: add it in the first, rather than the other place.

2025-09-27T10:41:34Z

add it in the first, rather than the other place.

← Older revision		Revision as of 10:41, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Pythagorean major sixth		\| Name = Threerish major sixth, Pythagorean major sixth
	\| Color name = w6, wa 6th		\| Color name = w6, wa 6th
	\| Sound = jid_27_16_pluck_adu_dr220.mp3		\| Sound = jid_27_16_pluck_adu_dr220.mp3

BudjarnLambeth: Add links

2025-01-03T07:29:17Z

Add links

← Older revision		Revision as of 07:29, 3 January 2025
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	}}		}}

	The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) and reducing by one [[octave]]. Compared to the more typical [[5/3]]- with which it is conflated in [[meantone]]- this interval is more dissonant, with a harmonic entropy level roughly on par with that of [[6/5]]. While many musicians prefer to use 5/3 as the major sixth interval above the ~~Tonic~~ in a [[diatonic]] context even in non-meantone settings, [[Aura]] is known to prefer this interval in those same contexts, though he still uses 5/3 as major sixth interval between certain non-tonic notes.		The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) and reducing by one [[octave]]. Compared to the more typical [[5/3]] - with which it is conflated in [[meantone]] - this interval is more [[dissonant]], with a [[harmonic entropy]] level roughly on par with that of [[6/5]]. While many musicians prefer to use 5/3 as the major sixth interval above the [[tonic]] in a [[diatonic]] context even in non-meantone settings, [[Aura]] is known to prefer this interval in those same contexts, though he still uses 5/3 as major sixth interval between certain non-tonic notes.

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

BudjarnLambeth: User:Aura —> Aura

2024-10-14T03:22:30Z

User:Aura —> Aura

← Older revision		Revision as of 03:22, 14 October 2024
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	}}		}}

	The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) and reducing by one [[octave]]. Compared to the more typical [[5/3]]- with which it is conflated in [[meantone]]- this interval is more dissonant, with a harmonic entropy level roughly on par with that of [[6/5]]. While many musicians prefer to use 5/3 as the major sixth interval above the Tonic in a [[diatonic]] context even in non-meantone settings, [[~~User:Aura\|~~Aura]] is known to prefer this interval in those same contexts, though he still uses 5/3 as major sixth interval between certain non-tonic notes.		The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) and reducing by one [[octave]]. Compared to the more typical [[5/3]]- with which it is conflated in [[meantone]]- this interval is more dissonant, with a harmonic entropy level roughly on par with that of [[6/5]]. While many musicians prefer to use 5/3 as the major sixth interval above the Tonic in a [[diatonic]] context even in non-meantone settings, [[Aura]] is known to prefer this interval in those same contexts, though he still uses 5/3 as major sixth interval between certain non-tonic notes.

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

Plumtree: Normalising usage of Infobox Interval

2022-10-25T14:39:25Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:39, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 27/16~~
	~~\| Monzo = -4 3~~
	~~\| Cents = 905.86500~~
	\| Name = Pythagorean major sixth		\| Name = Pythagorean major sixth
	\| Color name = w6, wa 6th		\| Color name = w6, wa 6th
	~~\| FJS name = M6~~
	\| Sound = jid_27_16_pluck_adu_dr220.mp3		\| Sound = jid_27_16_pluck_adu_dr220.mp3
	}}		}}
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	* [[Pythagorean tuning]]		* [[Pythagorean tuning]]

	~~[[Category:3-limit]]~~
	[[Category:Sixth]]		[[Category:Sixth]]
	[[Category:Major sixth]]		[[Category:Major sixth]]
	~~[[Category:Octave-reduced harmonics]]~~

	{{todo\| expand }}		{{todo\| expand }}

Fredg999: Misc. edits, categories

2021-12-15T20:49:03Z

Misc. edits, categories

← Older revision		Revision as of 20:49, 15 December 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| JI glyph =~~
	\| Ratio = 27/16		\| Ratio = 27/16
	\| Monzo = -4 3		\| Monzo = -4 3
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	[[Category:3-limit]]		[[Category:3-limit]]
	~~[[Category:Interval]]~~
	~~[[Category:Interval ratio]]~~
	[[Category:Sixth]]		[[Category:Sixth]]
	[[Category:Major sixth]]		[[Category:Major sixth]]
	[[Category:~~Pythagorean]]~~		[[Category:Octave-reduced harmonics]]
	~~[[Category:Overtone~~]]

	{{todo\| expand }}		{{todo\| expand }}

Aura at 16:41, 13 July 2021

2021-07-13T16:41:03Z

← Older revision		Revision as of 16:41, 13 July 2021
Line 10:		Line 10:
	}}		}}

	The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) and reducing by one [[octave]]. Compared to the more typical [[5/3]]- with which it is conflated in [[meantone]]- this interval is more dissonant, with a harmonic entropy level roughly on par with that of [[6/5]]. While many musicians prefer to use 5/3 as the major sixth interval above the Tonic in a [[diatonic]] context, [[User:Aura\|Aura]] is known to prefer this interval in those same contexts, though he still uses 5/3 as major sixth interval between certain non-tonic notes.		The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) and reducing by one [[octave]]. Compared to the more typical [[5/3]]- with which it is conflated in [[meantone]]- this interval is more dissonant, with a harmonic entropy level roughly on par with that of [[6/5]]. While many musicians prefer to use 5/3 as the major sixth interval above the Tonic in a [[diatonic]] context even in non-meantone settings, [[User:Aura\|Aura]] is known to prefer this interval in those same contexts, though he still uses 5/3 as major sixth interval between certain non-tonic notes.

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