59049/32768 - Revision history

Hotcrystal0 at 20:05, 3 February 2026

2026-02-03T20:05:27Z

← Older revision		Revision as of 20:05, 3 February 2026
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	== See also ==		== See also ==
	* [[32768/19683]] – its twelfth complement		* [[32768/19683]] – its [[twelfth complement]]
			* [[65536/59049]] — its [[octave complement]]

	== Notes ==		== Notes ==

Overthink: + Template:Redirect

2026-01-14T04:49:06Z

+ Template:Redirect

← Older revision		Revision as of 04:49, 14 January 2026
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	\| Color name = Lw6, lawa 6th		\| Color name = Lw6, lawa 6th
	}}		}}
			{{Redirect\|Pentatone\|systems with 5 note classes per octave\|Pentatonic}}
	The '''Pythagorean augmented sixth''', otherwise known as the '''pentatone''', 59049/32768, is the interval found by stacking five [[9/8\|(Pythagorean whole) tones (9/8)]]. It exceeds the [[9/5\|classical minor seventh (9/5)]] by a [[schisma]]. The Medieval music theorist {{w\|Jacobus of Liège}} described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref>		The '''Pythagorean augmented sixth''', otherwise known as the '''pentatone''', 59049/32768, is the interval found by stacking five [[9/8\|(Pythagorean whole) tones (9/8)]]. It exceeds the [[9/5\|classical minor seventh (9/5)]] by a [[schisma]]. The Medieval music theorist {{w\|Jacobus of Liège}} described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref>

FloraC: Undo revision 211145 by M1k1 H2tsun2 (talk)

2025-09-27T11:54:04Z

Undo revision 211145 by M1k1 H2tsun2 (talk)

← Older revision		Revision as of 11:54, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~Threerish augmented sixth,~~ Pythagorean augmented sixth, pentatone		\| Name = Pythagorean augmented sixth, pentatone
	\| Color name = Lw6, lawa 6th		\| Color name = Lw6, lawa 6th
	}}		}}

	The ~~'''Threerish augmented sixth''' or~~ '''Pythagorean augmented sixth''', otherwise known as the '''pentatone''', 59049/32768, is the interval found by stacking five [[9/8\|(Pythagorean whole) tones (9/8)]]. It exceeds the [[9/5\|classical minor seventh (9/5)]] by a [[schisma]]. The Medieval music theorist {{w\|Jacobus of Liège}} described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref>		The '''Pythagorean augmented sixth''', otherwise known as the '''pentatone''', 59049/32768, is the interval found by stacking five [[9/8\|(Pythagorean whole) tones (9/8)]]. It exceeds the [[9/5\|classical minor seventh (9/5)]] by a [[schisma]]. The Medieval music theorist {{w\|Jacobus of Liège}} described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref>

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

M1k1 H2tsun2: add it them

2025-09-27T11:08:41Z

add it them

← Older revision		Revision as of 11:08, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Pythagorean augmented sixth, pentatone		\| Name = Threerish augmented sixth, Pythagorean augmented sixth, pentatone
	\| Color name = Lw6, lawa 6th		\| Color name = Lw6, lawa 6th
	}}		}}

	The '''Pythagorean augmented sixth''', otherwise known as the '''pentatone''', 59049/32768, is the interval found by stacking five [[9/8\|(Pythagorean whole) tones (9/8)]]. It exceeds the [[9/5\|classical minor seventh (9/5)]] by a [[schisma]]. The Medieval music theorist {{w\|Jacobus of Liège}} described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref>		The '''Threerish augmented sixth''' or '''Pythagorean augmented sixth''', otherwise known as the '''pentatone''', 59049/32768, is the interval found by stacking five [[9/8\|(Pythagorean whole) tones (9/8)]]. It exceeds the [[9/5\|classical minor seventh (9/5)]] by a [[schisma]]. The Medieval music theorist {{w\|Jacobus of Liège}} described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref>

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

TallKite: add color name

2024-09-26T01:42:01Z

add color name

← Older revision		Revision as of 01:42, 26 September 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Pythagorean augmented sixth, pentatone		\| Name = Pythagorean augmented sixth, pentatone
			\| Color name = Lw6, lawa 6th
	}}		}}

FloraC: Note the proximity to 9/5

2024-07-23T07:29:26Z

Note the proximity to 9/5

← Older revision		Revision as of 07:29, 23 July 2024
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	}}		}}

	The '''Pythagorean augmented sixth''', otherwise known as the '''pentatone''', 59049/32768, is the interval found by stacking five [[9/8\|(Pythagorean whole) tones (9/8)]]. The Medieval music theorist {{w\|Jacobus of Liège}} described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref>		The '''Pythagorean augmented sixth''', otherwise known as the '''pentatone''', 59049/32768, is the interval found by stacking five [[9/8\|(Pythagorean whole) tones (9/8)]]. It exceeds the [[9/5\|classical minor seventh (9/5)]] by a [[schisma]]. The Medieval music theorist {{w\|Jacobus of Liège}} described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref>

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

FloraC: +link

2024-07-23T07:27:26Z

+link

← Older revision		Revision as of 07:27, 23 July 2024
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	The '''Pythagorean augmented sixth''', otherwise known as the '''pentatone''', 59049/32768, is the interval found by stacking five [[9/8\|(Pythagorean whole) tones (9/8)]]. The Medieval music theorist {{w\|Jacobus of Liège}} described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref>		The '''Pythagorean augmented sixth''', otherwise known as the '''pentatone''', 59049/32768, is the interval found by stacking five [[9/8\|(Pythagorean whole) tones (9/8)]]. The Medieval music theorist {{w\|Jacobus of Liège}} described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref>

			== See also ==
			* [[32768/19683]] – its twelfth complement

	== Notes ==		== Notes ==

FloraC: +obvious standard name; misc. style improvements

2024-06-24T08:03:53Z

+obvious standard name; misc. style improvements

← Older revision		Revision as of 08:03, 24 June 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = pentatone		\| Name = Pythagorean augmented sixth, pentatone
	}}		}}

	The '''pentatone''', 59049/32768, is the interval found by stacking five (Pythagorean whole) ~~[[tone]]s~~ ([[9/8]]). The Medieval music theorist Jacobus of Liège described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref>		The '''Pythagorean augmented sixth''', otherwise known as the '''pentatone''', 59049/32768, is the interval found by stacking five [[9/8\|(Pythagorean whole) tones (9/8)]]. The Medieval music theorist {{w\|Jacobus of Liège}} described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref>

			== Notes ==

Cmloegcmluin at 06:19, 24 June 2024

2024-06-24T06:19:16Z

← Older revision		Revision as of 06:19, 24 June 2024
Line 3:		Line 3:
	}}		}}

	The '''pentatone''', 59049/32768, is the interval found by stacking five (Pythagorean whole) [[tone]]s ([[9/8]]). The Medieval music theorist Jacobus of Liège described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]].		The '''pentatone''', 59049/32768, is the interval found by stacking five (Pythagorean whole) [[tone]]s ([[9/8]]). The Medieval music theorist Jacobus of Liège described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref>

Cmloegcmluin: Created page with "{{Infobox Interval | Name = pentatone }} The '''pentatone''', 59049/32768, is the interval found by stacking five (Pythagorean whole) tones (9/8). The Medieval music..."

2024-06-23T21:29:33Z

Created page with "{{Infobox Interval | Name = pentatone }} The '''pentatone''', 59049/32768, is the interval found by stacking five (Pythagorean whole) tones (9/8). The Medieval music..."

New page

{{Infobox Interval
| Name = pentatone
}}

The '''pentatone''', 59049/32768, is the interval found by stacking five (Pythagorean whole) [[tone]]s ([[9/8]]). The Medieval music theorist Jacobus of Liège described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]].