3afdo - Revision history

Fredg999 category edits: Categories

2025-07-30T03:59:40Z

FloraC: Note that this is the first nontrivial afdo

2025-01-08T12:37:00Z

Note that this is the first nontrivial afdo

← Older revision		Revision as of 12:37, 8 January 2025
Line 1:		Line 1:
	{{Infobox AFDO\|steps=3}}		{{Infobox AFDO\|steps=3}}
	'''3afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''3odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three arithmetically equal parts. It is a superset of [[2afdo]] and a subset of [[4afdo]]. As a [[scale]] it may also be known as [[harmonic mode\|mode 3 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-3]] scale. The notes of this ~~AFDO~~ form a 3:4:5 triad (first rotation of the [[just major triad]]) on root position.		'''3afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''3odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three arithmetically equal parts. It is a superset of [[2afdo]] and a subset of [[4afdo]]. It is the first nontrivial afdo since it is the first afdo to demonstrate [[chirality]]. Its inverse is [[3ifdo]]. As a [[scale]] it may also be known as [[harmonic mode\|mode 3 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-3]] scale. The notes of this afdo form a 3:4:5 triad (first rotation of the [[just major triad]]) on root position.

	== Intervals ==		== Intervals ==

FloraC: +subsets and supersets and clarify

2024-10-15T13:05:25Z

+subsets and supersets and clarify

← Older revision		Revision as of 13:05, 15 October 2024
Line 1:		Line 1:
	{{Infobox AFDO\|steps=3}}		{{Infobox AFDO\|steps=3}}
	'''3afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''3odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual ~~scale~~, would divide the [[octave]] into three arithmetically equal parts, and may also be known as [[~~Harmonic~~ mode\|mode 3 of the harmonic series]] or the [[~~Overtone~~ scale #Over-n scales\|Over-3]] scale. The notes of this AFDO form a 3:4:5 triad (first ~~inversion~~ major triad).		'''3afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''3odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three arithmetically equal parts. It is a superset of [[2afdo]] and a subset of [[4afdo]]. As a [[scale]] it may also be known as [[harmonic mode\|mode 3 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-3]] scale. The notes of this AFDO form a 3:4:5 triad (first rotation of the [[just major triad]]) on root position.

	== Intervals ==		== Intervals ==

FloraC: Terminological development

2023-04-11T06:51:47Z

Terminological development

← Older revision		Revision as of 06:51, 11 April 2023
Line 1:		Line 1:
	{{Infobox ~~ADO~~\|steps=3}}		{{Infobox AFDO\|steps=3}}
	'''~~3ado~~''' ([[~~ADO~~\|arithmetic division of the octave]]), or '''3odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual scale, would divide the [[octave]] into three arithmetically equal parts, and may also be known as [[Harmonic mode\|mode 3 of the harmonic series]] or the [[~~Overtone_scale~~#Over-~~n_scales~~\|Over-3]] scale. The notes of this ~~ADO~~ form a 3:4:5 triad (first inversion major triad).		'''3afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''3odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual scale, would divide the [[octave]] into three arithmetically equal parts, and may also be known as [[Harmonic mode\|mode 3 of the harmonic series]] or the [[Overtone scale #Over-n scales\|Over-3]] scale. The notes of this AFDO form a 3:4:5 triad (first inversion major triad).

	== Intervals ==		== Intervals ==
Line 40:		Line 40:
	\|}		\|}

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

FloraC: FloraC moved page 3ado to 3afdo: Terminological development

2023-04-11T06:41:47Z

FloraC moved page 3ado to 3afdo: Terminological development

← Older revision	Revision as of 06:41, 11 April 2023
(No difference)

CompactStar at 04:21, 1 April 2023

2023-04-01T04:21:22Z

← Older revision		Revision as of 04:21, 1 April 2023
Line 1:		Line 1:
	{{Infobox ADO\|steps=3}}		{{Infobox ADO\|steps=3}}
	'''3ado''' ([[ADO\|arithmetic division of the octave]]), or '''~~3-ODO~~''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual scale, would divide the [[octave]] into three arithmetically equal parts, and may also be known as [[Harmonic mode\|mode 3 of the harmonic series]] or the [[Overtone_scale#Over-n_scales\|Over-3]] scale. The notes of this ADO form a 3:4:5 triad (first inversion major triad).		'''3ado''' ([[ADO\|arithmetic division of the octave]]), or '''3odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual scale, would divide the [[octave]] into three arithmetically equal parts, and may also be known as [[Harmonic mode\|mode 3 of the harmonic series]] or the [[Overtone_scale#Over-n_scales\|Over-3]] scale. The notes of this ADO form a 3:4:5 triad (first inversion major triad).

	== Intervals ==		== Intervals ==

Cmloegcmluin: include OD term and correct implications of links

2023-03-30T18:35:59Z

include OD term and correct implications of links

← Older revision		Revision as of 18:35, 30 March 2023
Line 1:		Line 1:
	{{Infobox ADO\|steps=3}}		{{Infobox ADO\|steps=3}}
	'''3ado''', if the attempt is made to use it as an actual scale, would divide the [[octave]] into three [[~~ADO~~\|~~arithmetically equal~~]] ~~parts~~. The notes of this ADO form a 3:4:5 triad (first inversion major triad).		'''3ado''' ([[ADO\|arithmetic division of the octave]]), or '''3-ODO''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual scale, would divide the [[octave]] into three arithmetically equal parts, and may also be known as [[Harmonic mode\|mode 3 of the harmonic series]] or the [[Overtone_scale#Over-n_scales\|Over-3]] scale. The notes of this ADO form a 3:4:5 triad (first inversion major triad).

	== Intervals ==		== Intervals ==

CompactStar at 02:51, 2 March 2023

2023-03-02T02:51:48Z

← Older revision		Revision as of 02:51, 2 March 2023
Line 14:		Line 14:
	\| 0.0		\| 0.0
	\| [[1/1]]		\| [[1/1]]
	\| 1.~~000~~		\| 1.0000
	\| perfect unison		\| perfect unison
	\|		\|
Line 21:		Line 21:
	\| 498.0		\| 498.0
	\| [[4/3]]		\| [[4/3]]
	\| 1.~~333~~		\| 1.3333
	\| just perfect fourth		\| just perfect fourth
	\| [[File:Jid_4_3_pluck_adu_dr220.mp3]]		\| [[File:Jid_4_3_pluck_adu_dr220.mp3]]
Line 28:		Line 28:
	\| 884.4		\| 884.4
	\| [[5/3]]		\| [[5/3]]
	\| 1.~~667~~		\| 1.6667
	\| just major sixth		\| just major sixth
	\| [[File:Jid_5_3_pluck_adu_dr220.mp3]]		\| [[File:Jid_5_3_pluck_adu_dr220.mp3]]
Line 35:		Line 35:
	\| 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]]

CompactStar at 02:36, 2 March 2023

2023-03-02T02:36:15Z

← Older revision		Revision as of 02:36, 2 March 2023
Line 1:		Line 1:
	{{{Infobox ADO\|steps=3}}}		{{Infobox ADO\|steps=3}}
	'''3ado''', if the attempt is made to use it as an actual scale, would divide the [[octave]] into three [[ADO\|arithmetically equal]] parts. The notes of this ADO form a 3:4:5 triad (first inversion major triad).		'''3ado''', if the attempt is made to use it as an actual scale, would divide the [[octave]] into three [[ADO\|arithmetically equal]] parts. The notes of this ADO form a 3:4:5 triad (first inversion major triad).

CompactStar at 02:36, 2 March 2023

2023-03-02T02:36:06Z

← Older revision		Revision as of 02:36, 2 March 2023
Line 1:		Line 1:
			{{{Infobox ADO\|steps=3}}}
	'''3ado''', if the attempt is made to use it as an actual scale, would divide the [[octave]] into three [[ADO\|arithmetically equal]] parts. The notes of this ADO form a 3:4:5 triad (first inversion major triad).		'''3ado''', if the attempt is made to use it as an actual scale, would divide the [[octave]] into three [[ADO\|arithmetically equal]] parts. The notes of this ADO form a 3:4:5 triad (first inversion major triad).

← Older revision		Revision as of 03:59, 30 July 2025
Line 39:		Line 39:
	\| [[File:Jid_2_1_pluck_adu_dr220.mp3]]		\| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
	\|}		\|}

	~~[[Category:AFDO]]~~