13afdo - Revision history

Fredg999 category edits: Categories

2025-07-30T03:58:00Z

FloraC: +subsets and supersets

2025-02-23T11:13:12Z

+subsets and supersets

← Older revision		Revision as of 11:13, 23 February 2025
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	{{Infobox AFDO\|steps=13}}		{{Infobox AFDO\|steps=13}}
	'''13afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''13odo''' ([[otonal division]] of the octave), divides the octave into thirteen parts of 1/13 each. As a scale it may be known as [[Harmonic mode\|mode 13 of the harmonic series]] or the [[Overtone scale#Over-n%20scales\|Over-13]] scale. Due to being odd, it does not contain a perfect fifth above the root.		'''13afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''13odo''' ([[otonal division]] of the octave), divides the octave into thirteen parts of 1/13 each. It is a superset of [[12afdo]] and a subset of [[14afdo]]. As a scale it may be known as [[Harmonic mode\|mode 13 of the harmonic series]] or the [[Overtone scale#Over-n%20scales\|Over-13]] scale. Due to being odd, it does not contain a perfect fifth above the root.
	== Intervals ==		== Intervals ==
	{\| class="wikitable center-all"		{\| class="wikitable center-all"

CompactStar at 23:23, 13 April 2023

2023-04-13T23:23:11Z

← Older revision		Revision as of 23:23, 13 April 2023
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	\| 6		\| 6
	\| 656.99		\| 656.99
	\| [[19/13]]]		\| [[19/13]]
	\| 1.4615		\| 1.4615
	\| undevicesimal subfifth		\| undevicesimal subfifth

CompactStar at 23:22, 13 April 2023

2023-04-13T23:22:39Z

← Older revision		Revision as of 23:22, 13 April 2023
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	\| 1.92308		\| 1.92308
	\| lesser tridecimal diminished octave		\| lesser tridecimal diminished octave
	\| [[File:~~Jid_25_13_pluck_adu_dr220~~.mp3]]		\| [[File:Ji-25-13-csound-foscil-220hz.mp3]]
	\|-		\|-
	\| 13		\| 13

CompactStar at 23:22, 13 April 2023

2023-04-13T23:22:19Z

← Older revision		Revision as of 23:22, 13 April 2023
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	\| 1.61539		\| 1.61539
	\| tridecimal supraminor sixth		\| tridecimal supraminor sixth
	\| [[File:~~Jid_21_13_pluck_adu_dr220~~.mp3]]		\| [[File:ji-21-13-csound-foscil-220hz.mp3]]
	\|-		\|-
	\| 9		\| 9

CompactStar at 23:21, 13 April 2023

2023-04-13T23:21:57Z

← Older revision		Revision as of 23:21, 13 April 2023
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	\| 128.30		\| 128.30
	\| [[14/13]]		\| [[14/13]]
	\| 1.~~0833~~		\| 1.0769
	\| tridecimal supraminor second		\| tridecimal supraminor second
	\| [[File:Jid_14_13_pluck_adu_dr220.mp3]]		\| [[File:Jid_14_13_pluck_adu_dr220.mp3]]
	\|-		\|-
	\| 2		\| 2
	\| 247.7		\| 247.74
	\| [[15/13]]		\| [[15/13]]
	\| 1.~~1667~~		\| 1.1538
	\| subminor third		\| subminor third
	\| [[File:Jid_15_13_pluck_adu_dr220.mp3]]		\| [[File:Jid_15_13_pluck_adu_dr220.mp3]]
	\|-		\|-
	\| 3		\| 3
	\| ~~386~~.3		\| 359.47
	\| [[5/4]]		\| [[16/13]]
	\| 1.~~2500~~		\| 1.23077
	\| ~~just major~~ third		\| (greater) tridecimal neutral third
	\| [[File:~~Jid_5_4_pluck_adu_dr220~~.mp3]]		\| [[File:Jid_16_13_pluck_adu_dr220.mp3]]
	\|-		\|-
	\| 4		\| 4
	\| ~~498~~.0		\| 464.42
	\| [[4/3]]		\| [[17/13]]
	\| 1.~~3333~~		\| 1.3077
	\| ~~just perfect fourth~~		\| septendecimal subfourth
	\| [[File:~~Jid_4_3_pluck_adu_dr220~~.mp3]]		\| [[File:Jid_17_13_pluck_adu_dr220.mp3]]
	\|-		\|-
	\| 5		\| 5
	\| ~~603~~.0		\| 563.38
	\| [[17/12]]		\| [[18/13]]
	\| 1.~~41667~~		\| 1.3846
	\| ~~larger septendecimal tritone~~		\| tridecimal augmented fourth
	\| [[File:~~Jid_17_12_pluck_adu_dr220~~.mp3]]		\| [[File:Jid_18_13_pluck_adu_dr220.mp3]]
	\|-		\|-
	\| 6		\| 6
	\| ~~702~~.0		\| 656.99
	\| [[3/2]]		\| [[19/13]]]
	\| 1.~~50000~~		\| 1.4615
	\| ~~just perfect fifth~~		\| undevicesimal subfifth
	\| [[File:~~Jid_3_2_pluck_adu_dr220~~.mp3]]		\| [[File:Jid_19_13_pluck_adu_dr220.mp3]]
	\|-		\|-
	\| 7		\| 7
	\| ~~792~~.6		\| 745.79
	\| [[19/12]]		\| [[20/13]]
	\| 1.~~58333~~		\| 1.53846
	\| ~~large undevicesimal minor sixth~~		\| tridecimal semitenth
	\| [[File:~~Jid_19_12_pluck_adu_dr220~~.mp3]]		\| [[File:Jid_20_13_pluck_adu_dr220.mp3]]
	\|-		\|-
	\| 8		\| 8
	\| ~~884~~.4		\| 830.25
	\| [[5/3]]		\| [[21/13]]
	\| 1.~~66667~~		\| 1.61539
	\| ~~just major~~ sixth		\| tridecimal supraminor sixth
	\| [[File:~~Jid_5_3_pluck_adu_dr220~~.mp3]]		\| [[File:Jid_21_13_pluck_adu_dr220.mp3]]
	\|-		\|-
	\| 9		\| 9
	\| ~~968~~.8		\| 910.79
	\| [[7/4]]		\| [[22/13]]
	\| 1.~~75000~~		\| 1.69231
	\| ~~harmonic seventh~~		\| tridecimal major sixth
	\| [[File:~~Jid_7_4_pluck_adu_dr220~~.mp3]]		\| [[File:Jid_22_13_pluck_adu_dr220.mp3]]
	\|-		\|-
	\| 10		\| 10
	\| ~~1049~~.3		\| 987.75
	\| [[11/6]]		\| [[23/13]]
	\| 1.~~83333~~		\| 1.76923
	\| ~~undecimal neutral sixth~~		\| vicesimotertial minor seventh
	\| [[File:~~Jid_11_6_pluck_adu_dr220~~.mp3]]		\| [[File:Jid_23_13_pluck_adu_dr220.mp3]]
	\|-		\|-
	\| 11		\| 11
	\| ~~1126~~.3		\| 1061.43
	\| [[23/12]]		\| [[24/13]]
	\| 1.~~91667~~		\| 1.84615
	\| ~~vicesimotertial major~~ seventh		\| tridecimal neutral seventh
	\| [[File:~~Ji-23-12-csound-foscil-220hz~~.mp3]]		\| [[File:Jid_24_13_pluck_adu_dr220.mp3]]
	\|-		\|-
	\| 12		\| 12
			\| 1132.09
			\| [[25/13]]
			\| 1.92308
			\| lesser tridecimal diminished octave
			\| [[File:Jid_25_13_pluck_adu_dr220.mp3]]
			\|-
			\| 13
	\| 1200.0		\| 1200.0
	\| [[2/1]]		\| [[2/1]]

CompactStar at 23:05, 13 April 2023

2023-04-13T23:05:11Z

← Older revision		Revision as of 23:05, 13 April 2023
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	{{Infobox AFDO\|steps=13}}		{{Infobox AFDO\|steps=13}}
	'''13afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''13odo''' ([[otonal division]] of the octave), divides the octave into thirteen parts of 1/13 each. As a scale it may be known as [[Harmonic mode\|mode 13 of the harmonic series]] or the [[Overtone scale#Over-n%20scales\|Over-13]] scale.		'''13afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''13odo''' ([[otonal division]] of the octave), divides the octave into thirteen parts of 1/13 each. As a scale it may be known as [[Harmonic mode\|mode 13 of the harmonic series]] or the [[Overtone scale#Over-n%20scales\|Over-13]] scale. Due to being odd, it does not contain a perfect fifth above the root.
			== Intervals ==
			{\| class="wikitable center-all"
			! #
			! Cents
			! Ratio
			! Decimal
			! Interval name
			! Audio
			\|-
			\| 0
			\| 0.00
			\| [[1/1]]
			\| 1.0000
			\| perfect unison
			\|
			\|-
			\| 1
			\| 128.30
			\| [[14/13]]
			\| 1.0833
			\| tridecimal supraminor second
			\| [[File:Jid_14_13_pluck_adu_dr220.mp3]]
			\|-
			\| 2
			\| 247.7
			\| [[15/13]]
			\| 1.1667
			\| subminor third
			\| [[File:Jid_15_13_pluck_adu_dr220.mp3]]
			\|-
			\| 3
			\| 386.3
			\| [[5/4]]
			\| 1.2500
			\| just major third
			\| [[File:Jid_5_4_pluck_adu_dr220.mp3]]
			\|-
			\| 4
			\| 498.0
			\| [[4/3]]
			\| 1.3333
			\| just perfect fourth
			\| [[File:Jid_4_3_pluck_adu_dr220.mp3]]
			\|-
			\| 5
			\| 603.0
			\| [[17/12]]
			\| 1.41667
			\| larger septendecimal tritone
			\| [[File:Jid_17_12_pluck_adu_dr220.mp3]]
			\|-
			\| 6
			\| 702.0
			\| [[3/2]]
			\| 1.50000
			\| just perfect fifth
			\| [[File:Jid_3_2_pluck_adu_dr220.mp3]]
			\|-
			\| 7
			\| 792.6
			\| [[19/12]]
			\| 1.58333
			\| large undevicesimal minor sixth
			\| [[File:Jid_19_12_pluck_adu_dr220.mp3]]
			\|-
			\| 8
			\| 884.4
			\| [[5/3]]
			\| 1.66667
			\| just major sixth
			\| [[File:Jid_5_3_pluck_adu_dr220.mp3]]
			\|-
			\| 9
			\| 968.8
			\| [[7/4]]
			\| 1.75000
			\| harmonic seventh
			\| [[File:Jid_7_4_pluck_adu_dr220.mp3]]
			\|-
			\| 10
			\| 1049.3
			\| [[11/6]]
			\| 1.83333
			\| undecimal neutral sixth
			\| [[File:Jid_11_6_pluck_adu_dr220.mp3]]
			\|-
			\| 11
			\| 1126.3
			\| [[23/12]]
			\| 1.91667
			\| vicesimotertial major seventh
			\| [[File:Ji-23-12-csound-foscil-220hz.mp3]]
			\|-
			\| 12
			\| 1200.0
			\| [[2/1]]
			\| 2.0000
			\| perfect octave
			\| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
			\|}

			[[Category:AFDO]]

Moremajorthanmajor at 04:16, 12 April 2023

2023-04-12T04:16:38Z

← Older revision		Revision as of 04:16, 12 April 2023
Line 1:		Line 1:
			{{Infobox AFDO\|steps=13}}
	'''13afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''13odo''' ([[otonal division]] of the octave), divides the octave into thirteen parts of 1/13 each. As a scale it may be known as [[Harmonic mode\|mode 13 of the harmonic series]] or the [[Overtone scale#Over-n%20scales\|Over-13]] scale.		'''13afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''13odo''' ([[otonal division]] of the octave), divides the octave into thirteen parts of 1/13 each. As a scale it may be known as [[Harmonic mode\|mode 13 of the harmonic series]] or the [[Overtone scale#Over-n%20scales\|Over-13]] scale.

Moremajorthanmajor: Created page with "'''13afdo''' (arithmetic frequency division of the octave), or '''13odo''' (otonal division of the octave), divides the octave into thirteen parts of 1/13 each. A..."

2023-04-12T03:49:29Z

Created page with "'''13afdo''' (arithmetic frequency division of the octave), or '''13odo''' (otonal division of the octave), divides the octave into thirteen parts of 1/13 each. A..."

New page

'''13afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''13odo''' ([[otonal division]] of the octave), divides the octave into thirteen parts of 1/13 each. As a scale it may be known as [[Harmonic mode|mode 13 of the harmonic series]] or the [[Overtone scale#Over-n%20scales|Over-13]] scale.

← Older revision		Revision as of 03:58, 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]]~~