3ifdo - Revision history

Fredg999 category edits: Sort key

2025-07-30T03:58:49Z

Sort key

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

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

FloraC: Cleanup

2025-01-08T12:37:27Z

Cleanup

← Older revision		Revision as of 12:37, 8 January 2025
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	{{Infobox IFDO\|steps=3}}		{{Infobox IFDO\|steps=3}}
	'''3ifdo''' ([[IFDO\|inverse-arithmetic frequency division of the octave]]), or '''~~3-UDO~~''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three inverse-arithmetically equal parts. It is a superset of 2ifdo (equivalent to [[2afdo]]) and a subset of [[4ifdo]]. ~~3ifdo~~ is the first nontrivial ifdo since it is the first ifdo to demonstrate [[chirality]]. Its inverse is [[3afdo]]. As a [[scale]] it may also be known as mode 3 of the subharmonic series or the Under-3 scale. The notes of this IFDO form a [[just minor triad]] in root position.		'''3ifdo''' ([[IFDO\|inverse-arithmetic frequency division of the octave]]), or '''3udo''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three inverse-arithmetically equal parts. It is a superset of 2ifdo (equivalent to [[2afdo]]) and a subset of [[4ifdo]]. It is the first nontrivial ifdo since it is the first ifdo to demonstrate [[chirality]]. Its inverse is [[3afdo]]. As a [[scale]] it may also be known as mode 3 of the subharmonic series or the Under-3 scale. The notes of this IFDO form a [[just minor triad]] in root position.

	== Intervals ==		== Intervals ==

FloraC: Note that this is the first nontrivial ifdo

2025-01-08T12:35:15Z

Note that this is the first nontrivial ifdo

← Older revision		Revision as of 12:35, 8 January 2025
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	{{Infobox IFDO\|steps=3}}		{{Infobox IFDO\|steps=3}}
	'''3ifdo''' ([[IFDO\|inverse-arithmetic frequency division of the octave]]), or '''3-UDO''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three inverse-arithmetically equal parts. It is a superset of 2ifdo (equivalent to [[2afdo]]) and a subset of [[4ifdo]]. As a [[scale]] it may also be known as mode 3 of the subharmonic series or the Under-3 scale. The notes of this IFDO form a [[just minor triad]] in root position.		'''3ifdo''' ([[IFDO\|inverse-arithmetic frequency division of the octave]]), or '''3-UDO''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three inverse-arithmetically equal parts. It is a superset of 2ifdo (equivalent to [[2afdo]]) and a subset of [[4ifdo]]. 3ifdo is the first nontrivial ifdo since it is the first ifdo to demonstrate [[chirality]]. Its inverse is [[3afdo]]. As a [[scale]] it may also be known as mode 3 of the subharmonic series or the Under-3 scale. The notes of this IFDO form a [[just minor triad]] in root position.

	== Intervals ==		== Intervals ==

FloraC: +subsets and supersets and clarify

2024-10-15T13:05:28Z

+subsets and supersets and clarify

← Older revision		Revision as of 13:05, 15 October 2024
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	{{Infobox IFDO\|steps=3}}		{{Infobox IFDO\|steps=3}}
	'''3ifdo''' ([[IFDO\|inverse-arithmetic frequency division of the octave]]), or '''3-UDO''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual ~~scale~~, would divide the [[octave]] into three inverse-arithmetically equal parts. The notes of this ~~scale~~ form a ~~classic~~ minor triad.		'''3ifdo''' ([[IFDO\|inverse-arithmetic frequency division of the octave]]), or '''3-UDO''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three inverse-arithmetically equal parts. It is a superset of 2ifdo (equivalent to [[2afdo]]) and a subset of [[4ifdo]]. As a [[scale]] it may also be known as mode 3 of the subharmonic series or the Under-3 scale. The notes of this IFDO form a [[just minor triad]] in root position.

	== Intervals ==		== Intervals ==

FloraC: Terminological development

2023-04-11T06:36:15Z

Terminological development

← Older revision		Revision as of 06:36, 11 April 2023
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	{{Infobox ~~IDO~~\|steps=3}}		{{Infobox IFDO\|steps=3}}
	'''~~3ido~~''' ([[~~IDO~~\|inverse-arithmetic division of the octave]]), or '''3-UDO''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual scale, would divide the [[octave]] into three inverse-arithmetically equal parts. The notes of this scale form a classic minor triad.		'''3ifdo''' ([[IFDO\|inverse-arithmetic frequency division of the octave]]), or '''3-UDO''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual scale, would divide the [[octave]] into three inverse-arithmetically equal parts. The notes of this scale form a classic minor triad.

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

	[[Category:~~IDO~~]]		[[Category:IFDO]]

FloraC: FloraC moved page 3ido to 3ifdo without leaving a redirect: Terminological development

2023-04-11T06:32:38Z

FloraC moved page 3ido to 3ifdo without leaving a redirect: Terminological development

← Older revision	Revision as of 06:32, 11 April 2023
(No difference)

Cmloegcmluin: include UD term and correct implications of links

2023-03-30T18:37:20Z

include UD term and correct implications of links

← Older revision		Revision as of 18:37, 30 March 2023
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	{{Infobox IDO\|steps=3}}		{{Infobox IDO\|steps=3}}
	'''3ido''', if the attempt is made to use it as an actual scale, would divide the [[octave]] into three ~~[[IDO\|~~inverse-arithmetically equal]] parts. The notes of this scale form a classic minor triad.		'''3ido''' ([[IDO\|inverse-arithmetic division of the octave]]), or '''3-UDO''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual scale, would divide the [[octave]] into three inverse-arithmetically equal parts. The notes of this scale form a classic minor triad.

	== Intervals ==		== Intervals ==

CompactStar at 17:25, 20 March 2023

2023-03-20T17:25:44Z

← Older revision		Revision as of 17:25, 20 March 2023
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	\| 0.00		\| 0.00
	\| [[1/1]]		\| [[1/1]]
	~~\| 1.0000~~
	\| perfect unison		\| perfect unison
	\|		\|

CompactStar at 17:25, 20 March 2023

2023-03-20T17:25:38Z

← Older revision		Revision as of 17:25, 20 March 2023
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	! Cents		! Cents
	! Ratio		! Ratio
	~~! Decimal~~
	! Interval name		! Interval name
	! Audio		! Audio
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	\| [[File:Jid_3_2_pluck_adu_dr220.mp3]]		\| [[File:Jid_3_2_pluck_adu_dr220.mp3]]
	\|-		\|-
	\| 2		\| 3
	\| 1200.0		\| 1200.00
	\| [[2/1]]		\| [[2/1]]
	~~\| 2.0000~~
	\| perfect octave		\| perfect octave
	\| [[File:Jid_2_1_pluck_adu_dr220.mp3]]		\| [[File:Jid_2_1_pluck_adu_dr220.mp3]]

CompactStar: Created page with "{{Infobox IDO|steps=3}} '''3ido''', if the attempt is made to use it as an actual scale, would divide the octave into three inverse-arithmetically equal parts. The..."

2023-03-20T17:25:30Z

Created page with "{{Infobox IDO|steps=3}} '''3ido''', if the attempt is made to use it as an actual scale, would divide the octave into three inverse-arithmetically equal parts. The..."

New page

{{Infobox IDO|steps=3}}
'''3ido''', if the attempt is made to use it as an actual scale, would divide the [[octave]] into three [[IDO|inverse-arithmetically equal]] parts. The notes of this scale form a classic minor triad.

== Intervals ==
{| class="wikitable center-all"
! #
! Cents
! Ratio
! Decimal
! Interval name
! Audio
|-
| 0
| 0.00
| [[1/1]]
| 1.0000
| perfect unison
|
|-
| 1
| 315.64
| [[6/5]]
| just minor third
| [[File:Jid_6_5_pluck_adu_dr220.mp3]]
|-
| 2
| 701.96
| [[3/2]]
| just perfect fifth
| [[File:Jid_3_2_pluck_adu_dr220.mp3]]
|-
| 2
| 1200.0
| [[2/1]]
| 2.0000
| perfect octave
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
|}

[[Category:IDO]]