61/32 - Revision history

Overthink: added more edos representing it

2025-10-05T04:55:21Z

added more edos representing it

← Older revision		Revision as of 04:55, 5 October 2025
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	'''61/32''', the [[Octave reduction\|octave-reduced]] 61st [[harmonic]]. It is sharp of the [[243/128\|Pythagorean major seventh (243/128)]] by [[244/243]]. Being the octave complement of the harry minor semitone [[64/61]], it can also be used as a generator for [[harry]] and [[tritikleismic]].		'''61/32''', the [[Octave reduction\|octave-reduced]] 61st [[harmonic]]. It is sharp of the [[243/128\|Pythagorean major seventh (243/128)]] by [[244/243]]. Being the octave complement of the harry minor semitone [[64/61]], it can also be used as a generator for [[harry]] and [[tritikleismic]].

	In addition, the convergent chain of edos of representing it is {{EDOs\| 14, 29, 101, 130, 231 }}. These are notable tuning systems in their own way, and they can be used to introduce 61-limit harmony into lower-limit music.		In addition, the convergent chain of edos of representing it is {{EDOs\| 14, 29, 101, 130, 231 }}, with notable non-convergent edos representing it closely including {{Edos\|72 and 159}}, as well as supersets of convergents including {{Edos\|58, 87, and 202}}. These are notable tuning systems in their own way, and they can be used to introduce 61-limit harmony into lower-limit music.

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

FloraC: Expand

2024-12-07T10:02:56Z

Expand

← Older revision		Revision as of 10:02, 7 December 2024
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	\| Sound = Ji-61-32-csound-foscil-220hz.mp3		\| Sound = Ji-61-32-csound-foscil-220hz.mp3
	}}		}}
	'''61/32''', the [[Octave reduction\|octave-reduced]] 61st [[harmonic]], is the octave complement of the harry minor semitone [[64/61]], ~~and so~~ can also be used as a generator for [[harry]] and [[tritikleismic]].		'''61/32''', the [[Octave reduction\|octave-reduced]] 61st [[harmonic]]. It is sharp of the [[243/128\|Pythagorean major seventh (243/128)]] by [[244/243]]. Being the octave complement of the harry minor semitone [[64/61]], it can also be used as a generator for [[harry]] and [[tritikleismic]].

	In addition, the convergent chain of edos of representing it is {{EDOs\|14, 29, 101, 130, 231}}. These are notable tuning systems in their own way, and they can be used to introduce 61-limit harmony into lower-limit music.		In addition, the convergent chain of edos of representing it is {{EDOs\| 14, 29, 101, 130, 231 }}. These are notable tuning systems in their own way, and they can be used to introduce 61-limit harmony into lower-limit music.

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

Eliora: interesting interval

2023-03-17T23:10:48Z

interesting interval

← Older revision		Revision as of 23:10, 17 March 2023
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	}}		}}
	'''61/32''', the [[Octave reduction\|octave-reduced]] 61st [[harmonic]], is the octave complement of the harry minor semitone [[64/61]], and so can also be used as a generator for [[harry]] and [[tritikleismic]].		'''61/32''', the [[Octave reduction\|octave-reduced]] 61st [[harmonic]], is the octave complement of the harry minor semitone [[64/61]], and so can also be used as a generator for [[harry]] and [[tritikleismic]].

			In addition, the convergent chain of edos of representing it is {{EDOs\|14, 29, 101, 130, 231}}. These are notable tuning systems in their own way, and they can be used to introduce 61-limit harmony into lower-limit music.

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

Eliora: "61th"

2023-03-17T23:07:17Z

"61th"

← Older revision		Revision as of 23:07, 17 March 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = octave-reduced ~~61th~~ harmonic		\| Name = octave-reduced 61st harmonic
	\| Color name = 61o7, siwo seventh		\| Color name = 61o7, siwo seventh
	\| Sound = Ji-61-32-csound-foscil-220hz.mp3		\| Sound = Ji-61-32-csound-foscil-220hz.mp3

Plumtree: Normalising usage of Infobox Interval

2022-10-25T16:26:19Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 16:26, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 61/32~~
	~~\| Monzo = -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1~~
	~~\| Cents = 1116.88481~~
	\| Name = octave-reduced 61th harmonic		\| Name = octave-reduced 61th harmonic
	\| Color name = 61o7, siwo seventh		\| Color name = 61o7, siwo seventh
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:61-limit]]~~
	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Major seventh]]		[[Category:Major seventh]]
	~~[[Category:Octave-reduced harmonics]]~~

Fredg999 category edits: Removing from Category:Pages with internal sound examples using Cat-a-lot

2022-02-22T23:47:26Z

Removing from Category:Pages with internal sound examples using Cat-a-lot

← Older revision		Revision as of 23:47, 22 February 2022
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	[[Category:Major seventh]]		[[Category:Major seventh]]
	[[Category:Octave-reduced harmonics]]		[[Category:Octave-reduced harmonics]]
	~~[[Category:Pages with internal sound examples]]~~

Fredg999: Spelled out full monzo (not that bad width-wise), added color name, misc. edits, categories

2021-12-22T01:02:27Z

Spelled out full monzo (not that bad width-wise), added color name, misc. edits, categories

← Older revision		Revision as of 01:02, 22 December 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 61/32		\| Ratio = 61/32
	\| Monzo = -5 0 ~~...~~ 0 1		\| Monzo = -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
	\| Cents = 1116.88481		\| Cents = 1116.88481
	\| Name = octave-reduced 61th harmonic		\| Name = octave-reduced 61th harmonic
	\| Color name =		\| Color name = 61o7, siwo seventh
	\| Sound = Ji-61-32-csound-foscil-220hz.mp3		\| Sound = Ji-61-32-csound-foscil-220hz.mp3
	}}		}}
			'''61/32''', the [[Octave reduction\|octave-reduced]] 61st [[harmonic]], is the octave complement of the harry minor semitone [[64/61]], and so can also be used as a generator for [[harry]] and [[tritikleismic]].
	'''61/32''', the ~~'''~~octave-reduced 61st harmonic~~'''~~, is the octave complement of the harry minor semitone [[64/61]], and so can also be used as a generator for [[harry]] and [[tritikleismic]].

	== See also ==		== See also ==
			* [[64/61]] – its [[octave complement]]
			* [[:File:jid_61_32_pluck_adu_dr220.mp3]] - another sound example
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[64/61]] its octave complement
	* [[:File:jid_61_32_pluck_adu_dr220.mp3]] - another sound example

			[[Category:61-limit]]
			[[Category:Seventh]]
	[[Category:Major seventh]]		[[Category:Major seventh]]
	[[Category:~~Seventh~~]]		[[Category:Octave-reduced harmonics]]
	[[Category:~~Listen]]~~		[[Category:Pages with internal sound examples]]
	~~[[Category:Overtone~~]]

Xenwolf: fixed file link

2020-09-16T20:46:17Z

fixed file link

← Older revision		Revision as of 20:46, 16 September 2020
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	\| Name = octave-reduced 61th harmonic		\| Name = octave-reduced 61th harmonic
	\| Color name =		\| Color name =
	\| Sound = Ji-~~{{#regex:{{PAGENAME}}\|/(\S+)\/(\S+)/\|\1~~-~~\2}}~~-csound-foscil-220hz.mp3		\| Sound = Ji-61-32-csound-foscil-220hz.mp3
	}}		}}

Xenwolf: linked file instead of embedding

2020-09-16T20:45:52Z

linked file instead of embedding

← Older revision		Revision as of 20:45, 16 September 2020
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[64/61]] its octave complement		* [[64/61]] its octave complement
	* [[File:jid_61_32_pluck_adu_dr220.mp3]] ~~[[:File:jid_61_32_pluck_adu_dr220.mp3\|~~sound ~~info]]~~		* [[:File:jid_61_32_pluck_adu_dr220.mp3]] - another sound example

	[[Category:Major seventh]]		[[Category:Major seventh]]

Xenwolf: reworked, infobox, categories, another sound example

2020-07-12T14:56:09Z

reworked, infobox, categories, another sound example

← Older revision		Revision as of 14:56, 12 July 2020
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	~~'''~~61/32~~'''~~		{{Infobox Interval
			\| Icon =
			\| Ratio = 61/32
			\| Monzo = -5 0 ... 0 1
			\| Cents = 1116.88481
			\| Name = octave-reduced 61th harmonic
			\| Color name =
			\| Sound = Ji-{{#regex:{{PAGENAME}}\|/(\S+)\/(\S+)/\|\1-\2}}-csound-foscil-220hz.mp3
			}}

	~~= 2<span style="font-size: 80%; vertical-align: super;">~~-5</span> * 61		'''61/32''', the '''octave-reduced 61st harmonic''', is the octave complement of the harry minor semitone [[64/61]], and so can also be used as a generator for [[harry]] and [[tritikleismic]].

	~~1116~~.~~8848 cents~~		== See also ==
			* [[Gallery of just intervals]]
			* [[64/61]] its octave complement
			* [[File:jid_61_32_pluck_adu_dr220.mp3]] [[:File:jid_61_32_pluck_adu_dr220.mp3\|sound info]]

	[[~~File~~:~~jid_61_32_pluck_adu_dr220.mp3~~]] [[:~~File:jid_61_32_pluck_adu_dr220.mp3\|sound sample~~]]		[[Category:Major seventh]]
			[[Category:Seventh]]
	~~61/32, the octave reduction of the 61st harmonic, is the octave complement of the harry minor semitone~~ [[~~64/61\|64/61~~]]~~, and so can also be used as a generator for~~ [[~~Harry\|harry]] and [[Tritikleismic\|tritikleismic~~]].		[[Category:Listen]]
			[[Category:Overtone]]