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}}
}}
{{Infobox ET}}
{{Infobox ET}}
 
{{ED intro}}
{{EDO intro|8}}
== Theory ==
== Theory ==
[[File:8edo scale.mp3|thumb|A chromatic 8edo scale on C.]]
[[File:8edo scale.mp3|thumb|A chromatic 8edo scale on C.]]
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== Intervals ==
== Intervals ==
{| class="wikitable"
{| class="wikitable"
|+
! rowspan="2" |Steps
! rowspan="2" |Cents
! colspan="3" |JI approximation
|-
|-
!2.11/3.13/5.19^
! rowspan="2" | Steps
!2.5/3.11/3.13/5^
! rowspan="2" | Cents
!10:11:12:13:14^
! colspan="3" | JI approximation
|-
|-
|0
! 2.11/3.13/5.19*
|0
! 2.5/3.11/3.13/5*
|1/1
! 10:11:12:13:14*
|1/1
|1/1
|-
|-
|1
| 0
|150
| 0
|12/11
| 1/1
|12/11
| 1/1
|12/11, 11/10
| 1/1
|-
|-
|2
| 1
|300
| 150
|19/16
| 12/11
|6/5
| 12/11
|6/5
| 12/11, 11/10
|-
|-
|3
| 2
|450
| 300
|13/10
| 19/16
|13/10
| 6/5
|13/10
| 6/5
|-
|-
|4
| 3
|600
| 450
|
| 13/10
|
| 13/10
|7/5, 10/7
| 13/10
|-
|-
|5
| 4
|750
| 600
|20/13
|  
|20/13
|  
|20/13
| 7/5, 10/7
|-
|-
|6
| 5
|900
| 750
|32/19
| 20/13
|5/3
| 20/13
|5/3
| 20/13
|-
| 6
| 900
| 32/19
| 5/3
| 5/3
|-
|-
|7
| 7
|1050
| 1050
|11/6
| 11/6
|11/6
| 11/6
|20/11, 11/6
| 20/11, 11/6
|-
|-
|8
| 8
|1200
| 1200
|2/1
| 2/1
|2/1
| 2/1
|2/1
| 2/1
|}
|}
(^Allows [[inversion]] by 2/1; other interpretations also possible)
<nowiki />* Allows [[inversion]] by 2/1; other interpretations also possible


== Notation ==
== Notation ==
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! Edostep
! Edostep
! [[Cent]]s
! [[Cent]]s
! colspan="2" | 24edo subset notation
! colspan="2" | 24edo subset notation<br />([[Enharmonic unisons in ups and downs notation|EUs:]] vvA1 and d2)
([[Enharmonic unisons in ups and downs notation|EUs:]] vvA1 and d2)
! colspan="2" | 16edo subset notation<br />(major narrower than minor)
! colspan="2" | 16edo subset notation<br>(major narrower than minor)
! colspan="2" | 16edo subset notation<br />(major wider than minor)
! colspan="2" | 16edo subset notation<br>(major wider than minor)
! [[3L&nbsp;2s]] notation<br />({{nowrap|J {{=}} 1/1}})
! [[3L 2s]] notation (J = 1/1)
! Audio
!Audio
|-
|-
| 0
| 0
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| D
| D
| J
| J
|[[File:0-0 unison.mp3|frameless]]
| [[File:0-0 unison.mp3|frameless]]
|-
|-
| 1
| 1
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| E
| E
| K
| K
|[[File:0-150 (8-EDO).mp3|frameless]]
| [[File:0-150 (8-EDO).mp3|frameless]]
|-
|-
| 2
| 2
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| Fb
| Fb
| K#, Lb
| K#, Lb
|[[File:0-300 (12-EDO).mp3|frameless]]
| [[File:0-300 (12-EDO).mp3|frameless]]
|-
|-
| 3
| 3
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| F#, Gb
| F#, Gb
| L
| L
|[[File:0-450 (8-EDO).mp3|frameless]]
| [[File:0-450 (8-EDO).mp3|frameless]]
|-
|-
| 4
| 4
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| G#, Ab
| G#, Ab
| M
| M
|[[File:0-600 (12-EDO).mp3|frameless]]
| [[File:0-600 (12-EDO).mp3|frameless]]
|-
|-
| 5
| 5
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| A#, Bb
| A#, Bb
| M#, Nb
| M#, Nb
|[[File:0-750 (8-EDO).mp3|frameless]]
| [[File:0-750 (8-EDO).mp3|frameless]]
|-
|-
| 6
| 6
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| B#
| B#
| N
| N
|[[File:0-900 (12-EDO).mp3|frameless]]
| [[File:0-900 (12-EDO).mp3|frameless]]
|-
|-
| 7
| 7
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| C
| C
| N#, Jb
| N#, Jb
|[[File:0-1050 (8-EDO).mp3|frameless]]
| [[File:0-1050 (8-EDO).mp3|frameless]]
|-
|-
| 8
| 8
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| D
| D
| J
| J
|[[File:0-1200 octave.mp3|frameless]]
| [[File:0-1200 octave.mp3|frameless]]
|}
|}


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{| class="wikitable"
{| class="wikitable"
|-
|-
! | Chord edosteps
! Chord edosteps
! | Chord notes
! Chord notes
! | Full name
! Full name
! | Abbreviated name
! Abbreviated name
! | Homonyms
! Homonyms
|-
|-
| | 0 – 3 – 5
| 0 – 3 – 5
| | D ^F♯ ^A
| D ^F♯ ^A
| | D^(^5)
| D^(^5)
| | D
| D
| | ^F♯m or vGm
| ^F♯m or vGm
|-
|-
| | 0 – 2 – 5
| 0 – 2 – 5
| | D F ^A
| D F ^A
| | Dm(^5)
| Dm(^5)
| | Dm
| Dm
| | ^A or vB♭
| ^A or vB♭
|-
|-
| | 0 – 3 – 5 – 7
| 0 – 3 – 5 – 7
| | D ^F♯ ^A ^C
| D ^F♯ ^A ^C
| | D^7(^5)
| D^7(^5)
| | D7
| D7
| | ^F♯m♯11 or vGm♯11
| ^F♯m♯11 or vGm♯11
|-
|-
| | 0 – 3 – 5 – 6
| 0 – 3 – 5 – 6
| | D ^F♯ ^A B
| D ^F♯ ^A B
| | D6(^3,^5)
| D6(^3,^5)
| | D6
| D6
| | Bm7 and vG,♯9
| Bm7 and vG,♯9
|-
|-
| | 0 – 2 – 5 – 7
| 0 – 2 – 5 – 7
| | D F ^A ^C
| D F ^A ^C
| | Dm,~7(^5)
| Dm,~7(^5)
| | Dm7
| Dm7
| | F6 and vB♭,♯9
| F6 and vB♭,♯9
|-
|-
| | 0 – 2 – 5 – 6
| 0 – 2 – 5 – 6
| | D F ^A B
| D F ^A B
| | Dm6(^5)
| Dm6(^5)
| | Dm6
| Dm6
| | Bm7(♭5)
| Bm7(♭5)
|-
|-
| | 0 – 2 – 4 – 7
| 0 – 2 – 4 – 7
| | D F A♭ ^C
| D F A♭ ^C
| | Ddim,~7
| Ddim,~7
| | Dm7(♭5)
| Dm7(♭5)
| | Fm6
| Fm6
|}
|}


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{| class="commatable wikitable center-all left-3 right-4 left-6"
{| class="commatable wikitable center-all left-3 right-4 left-6"
! [[Harmonic limit|Prime<br>limit]]
! [[Harmonic limit|Prime<br />limit]]
! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Monzo]]
! [[Monzo]]
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<pre>
<pre>
! 08-EDO.scl
! 08-EDO.scl
!
!  
8 EDO
8 EDO
  8
  8
!
!  
  150.00
  150.00
  300.00
  300.00
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