4afdo - Revision history

Xenllium at 09:58, 22 January 2026

2026-01-22T09:58:44Z

← Older revision		Revision as of 09:58, 22 January 2026
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	\| 968.8		\| 968.8
	\| [[7/4]]		\| [[7/4]]
	\| 1.~~7050~~		\| 1.7500
	\| harmonic seventh		\| harmonic seventh
	\| [[File:Jid_7_4_pluck_adu_dr220.mp3]]		\| [[File:Jid_7_4_pluck_adu_dr220.mp3]]

Fredg999 category edits: Categories

2025-07-30T03:59:44Z

FloraC: +subsets and supersets

2025-02-23T11:07:05Z

+subsets and supersets

← Older revision		Revision as of 11:07, 23 February 2025
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	[[File:4ado scale.wav\|thumb]]		[[File:4ado scale.wav\|thumb]]

	'''4afdo''' ([[AFDO\|arithmetic division of the octave]]), or '''4odo''' ([[otonal division]] of the octave), divides the octave into four parts of 1/4 each. As a scale it may be known as [[Harmonic mode\|mode 4 of the harmonic series]] or the [[Overtone scale #Over-n scales\|Over-4]] scale. Because 4 is a power of 2, 4afdo corresponds to the 4th to 8th harmonics octave-reduced. The notes of 4afdo create a [[4:5:6:7\|harmonic seventh chord]].		'''4afdo''' ([[AFDO\|arithmetic division of the octave]]), or '''4odo''' ([[otonal division]] of the octave), divides the octave into four parts of 1/4 each. It is a superset of [[3afdo]] and a subset of [[5afdo]]. As a scale it may be known as [[Harmonic mode\|mode 4 of the harmonic series]] or the [[Overtone scale #Over-n scales\|Over-4]] scale. Because 4 is a power of 2, 4afdo corresponds to the 4th to 8th harmonics octave-reduced. The notes of 4afdo create a [[4:5:6:7\|harmonic seventh chord]].

	The smallest [[~~EDO~~]]s that maintain 25% or lower relative error on all intervals of 4afdo are [[10edo]] and [[15edo]], though they are not very accurate. The next two ~~EDOs~~, [[22edo]] and [[31edo]], are the smallest that approximate 4afdo with appreciable accuracy.		The smallest [[edo]]s that maintain 25% or lower relative error on all intervals of 4afdo are [[10edo]] and [[15edo]], though they are not very accurate. The next two edos, [[22edo]] and [[31edo]], are the smallest that approximate 4afdo with appreciable accuracy.

	== Intervals ==		== Intervals ==

ArrowHead294 at 12:02, 12 February 2025

2025-02-12T12:02:19Z

← Older revision		Revision as of 12:02, 12 February 2025
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	[[File:4ado scale.wav\|thumb]]		[[File:4ado scale.wav\|thumb]]

	'''4afdo''' ([[AFDO\|arithmetic division of the octave]]), or '''4odo''' ([[otonal division]] of the octave), divides the octave into four parts of 1/4 each. As a scale it may be known as [[Harmonic mode\|mode 4 of the harmonic series]] or the [[Overtone scale #Over-n scales\|Over-4]] scale. Because 4 is a power of 2, 4afdo corresponds to the 4th to 8th harmonics octave-reduced. The notes of 4afdo create a harmonic seventh chord.		'''4afdo''' ([[AFDO\|arithmetic division of the octave]]), or '''4odo''' ([[otonal division]] of the octave), divides the octave into four parts of 1/4 each. As a scale it may be known as [[Harmonic mode\|mode 4 of the harmonic series]] or the [[Overtone scale #Over-n scales\|Over-4]] scale. Because 4 is a power of 2, 4afdo corresponds to the 4th to 8th harmonics octave-reduced. The notes of 4afdo create a [[4:5:6:7\|harmonic seventh chord]].

			The smallest [[EDO]]s that maintain 25% or lower relative error on all intervals of 4afdo are [[10edo]] and [[15edo]], though they are not very accurate. The next two EDOs, [[22edo]] and [[31edo]], are the smallest that approximate 4afdo with appreciable accuracy.

	== Intervals ==		== Intervals ==
	{\| class="wikitable center-all"		{\| class="wikitable center-all"
			\|-
	! #		! #
	! Cents		! Cents

FloraC: Terminological development

2023-04-11T06:52:28Z

Terminological development

← Older revision		Revision as of 06:52, 11 April 2023
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	{{Infobox ~~ADO~~\|steps=4}}		{{Infobox AFDO\|steps=4}}
	[[File:4ado scale.wav\|thumb]]		[[File:4ado scale.wav\|thumb]]

	'''~~4ado~~''' ([[~~ADO~~\|arithmetic division of the octave]]), or '''4odo''' ([[otonal division]] of the octave), divides the octave into four parts of 1/4 each. As a scale it may be known as [[Harmonic mode\|mode 4 of the harmonic series]] or the [[~~Overtone_scale~~#Over-~~n_scales~~\|Over-4]] scale. Because 4 is a power of 2, ~~4ado~~ corresponds to the 4th to 8th harmonics octave-reduced. The notes of ~~4ado~~ create a harmonic seventh chord.		'''4afdo''' ([[AFDO\|arithmetic division of the octave]]), or '''4odo''' ([[otonal division]] of the octave), divides the octave into four parts of 1/4 each. As a scale it may be known as [[Harmonic mode\|mode 4 of the harmonic series]] or the [[Overtone scale #Over-n scales\|Over-4]] scale. Because 4 is a power of 2, 4afdo corresponds to the 4th to 8th harmonics octave-reduced. The notes of 4afdo create a harmonic seventh chord.

	== Intervals ==		== Intervals ==
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	\|}		\|}

	[[Category:~~ADO~~]]		[[Category:AFDO]]

FloraC: FloraC moved page 4ado to 4afdo: Terminological development

2023-04-11T06:42:07Z

FloraC moved page 4ado to 4afdo: Terminological development

← Older revision	Revision as of 06:42, 11 April 2023
(No difference)

CompactStar at 04:21, 1 April 2023

2023-04-01T04:21:26Z

← Older revision		Revision as of 04:21, 1 April 2023
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	[[File:4ado scale.wav\|thumb]]		[[File:4ado scale.wav\|thumb]]

	'''4ado''' ([[ADO\|arithmetic division of the octave]]), or '''~~4-ODO~~''' ([[otonal division]] of the octave), divides the octave into four parts of 1/4 each. As a scale it may be known as [[Harmonic mode\|mode 4 of the harmonic series]] or the [[Overtone_scale#Over-n_scales\|Over-4]] scale. Because 4 is a power of 2, 4ado corresponds to the 4th to 8th harmonics octave-reduced. The notes of 4ado create a harmonic seventh chord.		'''4ado''' ([[ADO\|arithmetic division of the octave]]), or '''4odo''' ([[otonal division]] of the octave), divides the octave into four parts of 1/4 each. As a scale it may be known as [[Harmonic mode\|mode 4 of the harmonic series]] or the [[Overtone_scale#Over-n_scales\|Over-4]] scale. Because 4 is a power of 2, 4ado corresponds to the 4th to 8th harmonics octave-reduced. The notes of 4ado create a harmonic seventh chord.

	== Intervals ==		== Intervals ==

Cmloegcmluin: include OD term and correct implications of links

2023-03-30T18:36:02Z

include OD term and correct implications of links

← Older revision		Revision as of 18:36, 30 March 2023
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	{{Infobox ADO\|steps=4}}		{{Infobox ADO\|steps=4}}
	[[File:4ado scale.wav\|thumb]]		[[File:4ado scale.wav\|thumb]]
	'''4ado''' ~~is the~~ [[ADO\|arithmetic ~~equal~~ division of the octave]] into four parts of 1/4 each. Because 4 is a power of 2, 4ado corresponds to the 4th to 8th harmonics octave-reduced. The notes of 4ado create a harmonic seventh chord.
			'''4ado''' ([[ADO\|arithmetic division of the octave]]), or '''4-ODO''' ([[otonal division]] of the octave), divides the octave into four parts of 1/4 each. As a scale it may be known as [[Harmonic mode\|mode 4 of the harmonic series]] or the [[Overtone_scale#Over-n_scales\|Over-4]] scale. Because 4 is a power of 2, 4ado corresponds to the 4th to 8th harmonics octave-reduced. The notes of 4ado create a harmonic seventh chord.

	== Intervals ==		== Intervals ==

CompactStar at 06:14, 25 March 2023

2023-03-25T06:14:55Z

← Older revision		Revision as of 06:14, 25 March 2023
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	{{Infobox ADO\|steps=4}}		{{Infobox ADO\|steps=4}}
	[[File:4ado scale.wav\|thumb]]		[[File:4ado scale.wav\|thumb]]
	'''4ado''' is the [[ADO\|arithmetic equal division of the octave]] into four parts of 1/4 each. Because 4 is a power of 2, 4ado corresponds to the ~~1st~~ to ~~4th~~ harmonics octave-reduced. The notes of 4ado create a harmonic seventh chord.		'''4ado''' is the [[ADO\|arithmetic equal division of the octave]] into four parts of 1/4 each. Because 4 is a power of 2, 4ado corresponds to the 4th to 8th harmonics octave-reduced. The notes of 4ado create a harmonic seventh chord.

	== Intervals ==		== Intervals ==

CompactStar at 02:51, 2 March 2023

2023-03-02T02:51:37Z

← Older revision		Revision as of 02:51, 2 March 2023
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	\| 0		\| 0
	\| [[1/1]]		\| [[1/1]]
	\| 1.~~000~~		\| 1.0000
	\| perfect unison		\| perfect unison
	\|		\|
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	\| 386.3		\| 386.3
	\| [[5/4]]		\| [[5/4]]
	\| 1.~~250~~		\| 1.2500
	\| just major third		\| just major third
	\| [[File:Jid_5_4_pluck_adu_dr220.mp3]]		\| [[File:Jid_5_4_pluck_adu_dr220.mp3]]
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	\| 702.0		\| 702.0
	\| [[3/2]]		\| [[3/2]]
	\| 1.~~500~~		\| 1.5000
	\| just perfect fifth		\| just perfect fifth
	\| [[File:Jid_3_2_pluck_adu_dr220.mp3]]		\| [[File:Jid_3_2_pluck_adu_dr220.mp3]]
Line 36:		Line 36:
	\| 968.8		\| 968.8
	\| [[7/4]]		\| [[7/4]]
	\| 1.~~750~~		\| 1.7050
	\| harmonic seventh		\| harmonic seventh
	\| [[File:Jid_7_4_pluck_adu_dr220.mp3]]		\| [[File:Jid_7_4_pluck_adu_dr220.mp3]]
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	\| 1200.0		\| 1200.0
	\| [[2/1]]		\| [[2/1]]
	\| 2.~~000~~		\| 2.0000
	\| perfect octave		\| perfect octave
	\| [[File:Jid_2_1_pluck_adu_dr220.mp3]]		\| [[File:Jid_2_1_pluck_adu_dr220.mp3]]

← Older revision		Revision as of 03:59, 30 July 2025
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	\| [[File:Jid_2_1_pluck_adu_dr220.mp3]]		\| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
	\|}		\|}

	~~[[Category:AFDO]]~~