List of octave-reduced harmonics - Revision history

Xenllium: Added 83 and 107 harmonics; fixed typo (because 161 and 247 are composite)

2025-05-31T14:19:25Z

Added 83 and 107 harmonics; fixed typo (because 161 and 247 are composite)

Show changes

BudjarnLambeth: See also

2024-12-04T10:08:59Z

Aura: Found the 77th harmonic missing, so I added it.

2023-05-23T15:27:51Z

Found the 77th harmonic missing, so I added it.

← Older revision		Revision as of 15:27, 23 May 2023
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	\|		\|
	\| close to 8 degrees of [[31edo]]		\| close to 8 degrees of [[31edo]]
			\|-
			\| 77
			\| 320.144
			\| 7 x 11
			\|
			\|
	\|-		\|-
	\| 155		\| 155

Fredg999: Categories

2023-05-23T12:45:43Z

Fredg999 category edits: Moving from Category:Interval collection to Category:Lists of intervals using Cat-a-lot

2023-04-13T22:04:37Z

Moving from Category:Interval collection to Category:Lists of intervals using Cat-a-lot

← Older revision		Revision as of 22:04, 13 April 2023
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	<references />		<references />

	[[Category:~~Interval collection~~]]		[[Category:Lists of intervals]]
	[[Category:Harmonic]]		[[Category:Harmonic]]

Fredg999: Replaced "overtone" with "harmonic" in the table header; I left the other uses of "overtone" in the table for now, it will probably require more cautious work

2022-01-22T21:59:31Z

Replaced "overtone" with "harmonic" in the table header; I left the other uses of "overtone" in the table for now, it will probably require more cautious work

← Older revision		Revision as of 21:59, 22 January 2022
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	{\| class="wikitable center-1 right-2 sortable"		{\| class="wikitable center-1 right-2 sortable"
	\|-		\|-
	! ~~Overtone~~		! Harmonic
	! Size ([[cents\|¢]])<ref>cent values are given for the octave reduced equivalent</ref>		! Size ([[cents\|¢]])<ref>cent values are given for the octave reduced equivalent</ref>
	! class="unsortable" \| Factorization		! class="unsortable" \| Factorization

Wolftune: Wolftune moved page List of overtones to List of octave-reduced harmonics: These are not overtones, even the list starts with 1 as the fundamental

2022-01-22T20:17:19Z

Wolftune moved page List of overtones to List of octave-reduced harmonics: These are not overtones, even the list starts with 1 as the fundamental

← Older revision	Revision as of 20:17, 22 January 2022
(No difference)

Wolftune: adjusted to consistent language for "harmonics" not "overtones

2022-01-22T20:16:06Z

adjusted to consistent language for "harmonics" not "overtones

← Older revision		Revision as of 20:16, 22 January 2022
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	This is a list of ~~overtones (~~[[harmonic]]s) up to 255, sorted by ascending pitch of their [[Octave reduction\|octave-reduced]] equivalent (except the octave, which is not reduced). Prime ~~overtones~~ are in bold.		This is a list of [[harmonic]]s up to 255, sorted by ascending pitch of their [[Octave reduction\|octave-reduced]] equivalent (except the octave, which is not reduced). Prime harmonics are in bold.

	{\| class="wikitable center-1 right-2 sortable"		{\| class="wikitable center-1 right-2 sortable"
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	\| '''104.955'''		\| '''104.955'''
	\| '''prime'''		\| '''prime'''
	\| '''~~overtone~~ half-step'''		\| '''harmonic half-step'''
	\| '''close to 1 degree of [[11edo]] / 2 degrees of [[23edo]]'''		\| '''close to 1 degree of [[11edo]] / 2 degrees of [[23edo]]'''
	\|-		\|-
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	\| '''117.6385'''		\| '''117.6385'''
	\| '''prime'''		\| '''prime'''
	\| '''~~overtone~~ secor'''		\| '''harmonic [[secor]]'''
	\| '''close to 3 degrees of [[31edo]],''' '''square root of 73'''		\| '''close to 3 degrees of [[31edo]],''' '''square root of 73'''
	\|-		\|-
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	\| '''251.344'''		\| '''251.344'''
	\| '''prime'''		\| '''prime'''
	\| '''~~overtone~~''' '''hemifourth'''		\| '''harmonic''' '''hemifourth'''
	\| '''close to 5 degrees of [[24edo]]'''		\| '''close to 5 degrees of [[24edo]]'''
	\|-		\|-
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	\| '''263.002'''		\| '''263.002'''
	\| '''prime'''		\| '''prime'''
	\| '''~~overtone~~ subminor third'''		\| '''harmonic subminor third'''
	\|		\|
	\|-		\|-
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	\| '''286.086'''		\| '''286.086'''
	\| '''prime'''		\| '''prime'''
	\| '''~~overtone~~ gentle minor third'''		\| '''harmonic gentle minor third'''
	\| '''close to 4 degrees of [[17edo]]'''		\| '''close to 4 degrees of [[17edo]]'''
	\|-		\|-
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	\| '''297.513'''		\| '''297.513'''
	\| '''prime'''		\| '''prime'''
	\| '''~~overtone~~ minor third'''		\| '''harmonic minor third'''
	\| '''close to 3 degrees of [[12edo]] (a.k.a. 1 degree of [[4edo]])'''		\| '''close to 3 degrees of [[12edo]] (a.k.a. 1 degree of [[4edo]])'''
	\|-		\|-
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	\| '''353.545'''		\| '''353.545'''
	\| '''prime'''		\| '''prime'''
	\| '''~~overtone~~''' '''hemififth'''		\| '''harmonic''' '''hemififth'''
	\| '''close to 5 degrees of [[17edo]]'''		\| '''close to 5 degrees of [[17edo]]'''
	\|-		\|-
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	\| 781.262		\| 781.262
	\| 3 x 67		\| 3 x 67
	\| ~~overtone~~ gentle minor sixth, circular sixth		\| harmonic gentle minor sixth, circular sixth
	\| close to 19 degrees of [[23edo]] / pi		\| close to 19 degrees of [[23edo]] / pi
	\|-		\|-
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	\| '''840.528'''		\| '''840.528'''
	\| '''prime'''		\| '''prime'''
	\| '''~~overtone~~ sixth, golden overtone'''		\| '''harmonic sixth, golden overtone'''
	\| '''[[13-limit]] / close to 7 degrees of [[10edo]], golden ratio'''		\| '''[[13-limit]] / close to 7 degrees of [[10edo]], golden ratio'''
	\|-		\|-
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	\| 913.8615		\| 913.8615
	\| 7 x 31		\| 7 x 31
	\| ~~overtone~~ gentle major third		\| harmonic gentle major third
	\| close to 13 degrees of [[17edo]]		\| close to 13 degrees of [[17edo]]
	\|-		\|-
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	\| 953.299		\| 953.299
	\| 3 x 37		\| 3 x 37
	\| ~~overtone~~ hemitwelfth		\| harmonic hemitwelfth
	\| close to 19 degrees of [[24edo]] / square root of 3		\| close to 19 degrees of [[24edo]] / square root of 3
	\|-		\|-

Fredg999: Recast lead section, fixed typo, added internal links (for convenience; same reason all edo mentions already have links), replaced 9 by 3 × 3 in factorization, categories

2021-12-11T16:46:25Z

Recast lead section, fixed typo, added internal links (for convenience; same reason all edo mentions already have links), replaced 9 by 3 × 3 in factorization, categories

Show changes

Aura: Changed the text to enable the inclusion of the octave in the chart for reference

2020-10-27T22:54:54Z

Changed the text to enable the inclusion of the octave in the chart for reference

← Older revision		Revision as of 22:54, 27 October 2020
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	A list of many overtones in an octave, arranged by ascending pitch, [[octave reduced]]. Prime overtones are highlighted.		A list of many overtones within in an octave, arranged by ascending pitch, with all but the octave itself being [[octave reduced]]. Prime overtones are highlighted.

	{\| class="wikitable center-1 right-2 sortable"		{\| class="wikitable center-1 right-2 sortable"
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	\| '''[[2-limit]]'''		\| '''[[2-limit]]'''
	\|}		\|}
	<references/>		<references />

	[[Category:Theory]]		[[Category:Theory]]

← Older revision		Revision as of 10:08, 4 December 2024
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	\|}		\|}
	<references />		<references />

			== See also ==
			* [[List of tritave reduced harmonics]]
			* [[Pentave Reduced Harmonics]]

	[[Category:Octave-reduced harmonics\| ]] <!-- main article -->		[[Category:Octave-reduced harmonics\| ]] <!-- main article -->
	[[Category:Lists of intervals]]		[[Category:Lists of intervals]]
	[[Category:Harmonic]]		[[Category:Harmonic]]

← Older revision		Revision as of 12:45, 23 May 2023
Line 767:		Line 767:
	<references />		<references />

			[[Category:Octave-reduced harmonics\| ]] <!-- main article -->
	[[Category:Lists of intervals]]		[[Category:Lists of intervals]]
	[[Category:Harmonic]]		[[Category:Harmonic]]