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12edo: Difference between revisions

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m -major 2nd in infobox
TallKite (talk | contribs)
autopatrolled, Sysops
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added trad. solfege, added pergens
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! Steps
! Steps
! Cents
! Cents
! Approximate JI Ratios*
! colspan="3" | Interval
! colspan="3" | Interval
! Approximate JI Ratios*
!solfege
|-
|-
| 0
| 0
| 0
| 0
| 1/1
| unison
| unison
| P1
| P1
| D
| D
| 1/1
|Do
|-
|-
| 1
| 1
| 100
| 100
| 15/14, 16/15, 17/16, 18/17, 21/20, 25/24, 28/27
| aug 1sn, minor 2nd
| aug 1sn, minor 2nd
| A1, m2
| A1, m2
| D#, Eb
| D#, Eb
| 15/14, 16/15, 17/16, 18/17, 21/20, 25/24, 28/27
|Di / Ra
|-
|-
| 2
| 2
| 200
| 200
| 8/7, 9/8, 10/9, 17/15, 19/17
| major 2nd
| major 2nd
| M2
| M2
| E
| E
| 8/7, 9/8, 10/9, 17/15, 19/17
|Re
|-
|-
| 3
| 3
| 300
| 300
| 7/6, 6/5, 19/16
| minor 3rd
| minor 3rd
| m3
| m3
| F
| F
| 7/6, 6/5, 19/16
|Ri / Me
|-
|-
| 4
| 4
| 400
| 400
| 5/4, 9/7
| major 3rd
| major 3rd
| M3
| M3
| F#
| F#
| 5/4, 9/7
|Mi
|-
|-
| 5
| 5
| 500
| 500
| 4/3
| perfect 4th
| perfect 4th
| P4
| P4
| G
| G
| 4/3
|Fa
|-
|-
| 6
| 6
| 600
| 600
| 7/5, 10/7, 17/12, 24/17
| aug 4th, dim 5th
| aug 4th, dim 5th
| A4, d5
| A4, d5
| G#, Ab
| G#, Ab
| 7/5, 10/7, 17/12, 24/17
|Fi / Se
|-
|-
| 7
| 7
| 700
| 700
| 3/2
| perfect 5th
| perfect 5th
| P5
| P5
| A
| A
| 3/2
|So
|-
|-
| 8
| 8
| 800
| 800
| 8/5, 14/9
| minor 6th
| minor 6th
| m6
| m6
| Bb
| Bb
| 8/5, 14/9
|Si / Le
|-
|-
| 9
| 9
| 900
| 900
| 5/3, 12/7, 32/19
| major 6th
| major 6th
| M6
| M6
| B
| B
| 5/3, 12/7, 32/19
|La
|-
|-
| 10
| 10
| 1000
| 1000
| 7/4, 9/5, 16/9
| minor 7th
| minor 7th
| m7
| m7
| C
| C
| 7/4, 9/5, 16/9
|Li / Te
|-
|-
| 11
| 11
| 1100
| 1100
| 15/8, 17/9, 28/15, 40/21, 48/25, 27/14
| major 7th
| major 7th
| M7
| M7
| C#
| C#
| 15/8, 17/9, 28/15, 40/21, 48/25, 27/14
|Ti
|-
|-
| 12
| 12
| 1200
| 1200
| 2/1
| perfect 8ve
| perfect 8ve
| P8
| P8
| D
| D
| 2/1
|Do
|}
|}
<nowiki>*</nowiki> based on treating 12edo as a 2.3.5.7.17.19 subgroup temperament; other approaches are possible.
<nowiki>*</nowiki> based on treating 12edo as a 2.3.5.7.17.19 subgroup temperament; other approaches are possible.
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! Periods <br> per octave
! Periods <br> per octave
! Generator
! Generator
!Pergen
! Temperaments
! Temperaments
|-
|-
| 1
| 1
| 1\12
| 1\12
|(P8, P4/5)
| [[Ripple]]
| [[Ripple]]
|-
|-
| 1
| 1
| 5\12
| 5\12
|(P8, P5)
| [[Meantone]] / [[dominant]]
| [[Meantone]] / [[dominant]]
|-
|-
| 2
| 2
| 1\12
| 1\12
|(P8/2, P5)
| [[Srutal]] / [[pajara]] / [[injera]]
| [[Srutal]] / [[pajara]] / [[injera]]
|-
|-
| 3
| 3
| 1\12
| 1\12
|(P8/3, P5)
| [[Augmented]]
| [[Augmented]]
|-
|-
| 4
| 4
| 1\12
| 1\12
|(P8/4, P5)
| [[Diminished]]
| [[Diminished]]
|-
|-
| 6
| 6
| 1\12
| 1\12
|(P8/6, P5)
| [[Hexe]]
| [[Hexe]]
|}
|}
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