2afdo - Revision history

Fredg999 category edits: Categories

2025-07-30T03:58:41Z

FloraC: Move its property up, like in 3afdo page

2025-01-08T12:43:34Z

Move its property up, like in 3afdo page

← Older revision		Revision as of 12:43, 8 January 2025
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	{{Infobox AFDO\|steps=2}}		{{Infobox AFDO\|steps=2}}
	'''2afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. It is a superset of 1afdo (equivalent to [[1edo]]) and a subset of [[3afdo]]. As a [[scale]] it may also be known as [[harmonic mode\|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].		'''2afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. It is a superset of 1afdo (equivalent to [[1edo]]) and a subset of [[3afdo]]. It is equivalent to [[IFDO\|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave), and to the [[1L 1s\|monowood]] [[mos scale]] tuned to the just perfect fifth or just perfect fourth. As a [[scale]] it may also be known as [[harmonic mode\|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].

	~~2afdo is equivalent to [[IFDO\|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave), and to the [[1L 1s\|monowood]] [[mos scale]] tuned to the just perfect fifth or just perfect fourth~~.

	== Intervals ==		== Intervals ==

FloraC: Another possibly interesting equivalence

2024-10-15T13:11:02Z

Another possibly interesting equivalence

← Older revision		Revision as of 13:11, 15 October 2024
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	'''2afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. It is a superset of 1afdo (equivalent to [[1edo]]) and a subset of [[3afdo]]. As a [[scale]] it may also be known as [[harmonic mode\|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].		'''2afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. It is a superset of 1afdo (equivalent to [[1edo]]) and a subset of [[3afdo]]. As a [[scale]] it may also be known as [[harmonic mode\|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].

	2afdo is equivalent to [[IFDO\|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave).		2afdo is equivalent to [[IFDO\|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave), and to the [[1L 1s\|monowood]] [[mos scale]] tuned to the just perfect fifth or just perfect fourth.

	== Intervals ==		== Intervals ==

FloraC: +subsets and supersets

2024-10-15T12:57:30Z

+subsets and supersets

← Older revision		Revision as of 12:57, 15 October 2024
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	{{Infobox AFDO\|steps=2}}		{{Infobox AFDO\|steps=2}}
	'''2afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. As a [[scale]] it may also be known as [[harmonic mode\|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].		'''2afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. It is a superset of 1afdo (equivalent to [[1edo]]) and a subset of [[3afdo]]. As a [[scale]] it may also be known as [[harmonic mode\|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].

	2afdo is equivalent to [[IFDO\|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave).		2afdo is equivalent to [[IFDO\|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave).

FloraC: Equivalence to 2ifdo

2024-10-15T12:48:29Z

Equivalence to 2ifdo

← Older revision		Revision as of 12:48, 15 October 2024
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	{{Infobox AFDO\|steps=2}}		{{Infobox AFDO\|steps=2}}
	'''2afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. As a [[scale]] it may also be known as [[harmonic mode\|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].		'''2afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. As a [[scale]] it may also be known as [[harmonic mode\|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].

			2afdo is equivalent to [[IFDO\|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave).

	== Intervals ==		== Intervals ==
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	[[Category:AFDO]]		[[Category:AFDO]]
			[[Category:IFDO]]

FloraC: 4/3

2024-10-15T12:42:50Z

4/3

← Older revision		Revision as of 12:42, 15 October 2024
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	{{Infobox AFDO\|steps=2}}		{{Infobox AFDO\|steps=2}}
	'''2afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual ~~scale~~, would divide the [[octave]] into two arithmetically equal parts~~, and~~ may also be known as [[~~Harmonic~~ mode\|mode 2 of the harmonic series]] or the [[~~Overtone~~ scale #Over-n scales\|Over-2]] scale. The only non-trivial ~~interval is~~ the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1.		'''2afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. As a [[scale]] it may also be known as [[harmonic mode\|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].

	== Intervals ==		== Intervals ==

FloraC: Terminological development

2023-04-11T06:51:03Z

Terminological development

← Older revision		Revision as of 06:51, 11 April 2023
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	{{Infobox ~~ADO~~\|steps=2}}		{{Infobox AFDO\|steps=2}}
	'''~~2ado~~''' ([[~~ADO~~\|arithmetic division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual scale, would divide the [[octave]] into two arithmetically equal parts, and may also be known as [[Harmonic mode\|mode 2 of the harmonic series]] or the [[~~Overtone_scale~~#Over-~~n_scales~~\|Over-2]] scale. The only non-trivial interval is the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1.		'''2afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual scale, would divide the [[octave]] into two arithmetically equal parts, and may also be known as [[Harmonic mode\|mode 2 of the harmonic series]] or the [[Overtone scale #Over-n scales\|Over-2]] scale. The only non-trivial interval is the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1.

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

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

FloraC: FloraC moved page 2ado to 2afdo: Terminological development

2023-04-11T06:41:31Z

FloraC moved page 2ado to 2afdo: Terminological development

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

CompactStar at 04:21, 1 April 2023

2023-04-01T04:21:16Z

← Older revision		Revision as of 04:21, 1 April 2023
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	{{Infobox ADO\|steps=2}}		{{Infobox ADO\|steps=2}}
	'''2ado''' ([[ADO\|arithmetic division of the octave]]), or '''~~2-ODO~~''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual scale, would divide the [[octave]] into two arithmetically equal parts, and may also be known as [[Harmonic mode\|mode 2 of the harmonic series]] or the [[Overtone_scale#Over-n_scales\|Over-2]] scale. The only non-trivial interval is the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1.		'''2ado''' ([[ADO\|arithmetic division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual scale, would divide the [[octave]] into two arithmetically equal parts, and may also be known as [[Harmonic mode\|mode 2 of the harmonic series]] or the [[Overtone_scale#Over-n_scales\|Over-2]] scale. The only non-trivial interval is the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1.

	== Intervals ==		== Intervals ==

Cmloegcmluin: include OD term and correct implications of links

2023-03-30T18:35:57Z

include OD term and correct implications of links

← Older revision		Revision as of 18:35, 30 March 2023
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	{{Infobox ADO\|steps=2}}		{{Infobox ADO\|steps=2}}
	'''2ado''', if the attempt is made to use it as an actual scale, would divide the [[octave]] into two [[~~ADO~~\|~~arithmetically equal~~]] ~~parts~~. The only non-trivial interval is the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1.		'''2ado''' ([[ADO\|arithmetic division of the octave]]), or '''2-ODO''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual scale, would divide the [[octave]] into two arithmetically equal parts, and may also be known as [[Harmonic mode\|mode 2 of the harmonic series]] or the [[Overtone_scale#Over-n_scales\|Over-2]] scale. The only non-trivial interval is the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1.

	== Intervals ==		== Intervals ==

← Older revision		Revision as of 12:57, 15 October 2024
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	{{Infobox AFDO\|steps=2}}		{{Infobox AFDO\|steps=2}}
	'''2afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. As a [[scale]] it may also be known as [[harmonic mode\|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].		'''2afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. It is a superset of 1afdo (equivalent to [[1edo]]) and a subset of [[3afdo]]. As a [[scale]] it may also be known as [[harmonic mode\|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales\|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].

	2afdo is equivalent to [[IFDO\|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave).		2afdo is equivalent to [[IFDO\|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave).

← Older revision		Revision as of 03:58, 30 July 2025
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	\|}		\|}

	~~[[Category:AFDO]]~~		[[Category:IFDO\|#]]
	[[Category:IFDO]]