22edo: Difference between revisions

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! Cents
! Cents
! Approximate Ratios<ref group="note">{{sg|2.3.5.7.11.17 subgroup}}</ref>
! Approximate Ratios<ref group="note">{{sg|2.3.5.7.11.17 subgroup}}</ref>
! colspan="3" | [[Ups and Downs Notation]]<br>([[Enharmonic intervals in ups and downs notation|EIs]]: v<sup>3</sup>A1 and ^^d2)
! colspan="3" | [[Ups and Downs Notation|Ups and downs notation]]<br>([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>3</sup>A1 and ^^d2)
! colspan="3" | [[SKULO interval names|SKULO notation]] {{nowrap|(K {{=}} 1)}}
! colspan="3" | [[SKULO interval names|SKULO notation]] {{nowrap|(K {{=}} 1)}}
! Audio
! Audio
|-
|-
| 0
| 0
| 0.000
| 0.0
| [[1/1]]
| [[1/1]]
| perfect unison
| perfect unison
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|-
|-
| 1
| 1
| 54.545
| 54.5
| [[36/35]], [[34/33]], [[33/32]], [[32/31]]
| [[36/35]], [[34/33]], [[33/32]], [[32/31]]
| up-unison, minor 2nd
| up-unison, minor 2nd
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|-
|-
| 2
| 2
| 109.091
| 109.1
| [[18/17]], [[17/16]], [[16/15]], [[15/14]]
| [[18/17]], [[17/16]], [[16/15]], [[15/14]]
| downaug 1sn, upminor 2nd
| downaug 1sn, upminor 2nd
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|-
|-
| 3
| 3
| 163.636
| 163.6
| [[12/11]], [[11/10]], [[10/9]]
| [[12/11]], [[11/10]], [[10/9]]
| aug 1sn, downmajor 2nd
| aug 1sn, downmajor 2nd
Line 84: Line 84:
|-
|-
| 4
| 4
| 218.182
| 218.2
| [[9/8]], [[17/15]], [[8/7]]
| [[9/8]], [[17/15]], [[8/7]]
| major 2nd
| major 2nd
Line 95: Line 95:
|-
|-
| 5
| 5
| 272.727
| 272.7
| [[20/17]], [[7/6]]
| [[20/17]], [[7/6]]
| minor 3rd
| minor 3rd
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|-
|-
| 6
| 6
| 327.273
| 327.3
| [[6/5]], [[17/14]], [[11/9]]
| [[6/5]], [[17/14]], [[11/9]]
| upminor 3rd
| upminor 3rd
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|-
|-
| 7
| 7
| 381.818
| 381.8
| [[5/4]], [[96/77]]
| [[5/4]], [[96/77]]
| downmajor 3rd
| downmajor 3rd
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|-
|-
| 8
| 8
| 436.364
| 436.4
| [[14/11]], [[9/7]], [[22/17]]
| [[14/11]], [[9/7]], [[22/17]]
| major 3rd
| major 3rd
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|-
|-
| 9
| 9
| 490.909
| 490.9
| [[4/3]]
| [[4/3]]
| perfect 4th
| perfect 4th
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|-
|-
| 10
| 10
| 545.455
| 545.5
| [[15/11]], [[11/8]]
| [[15/11]], [[11/8]]
| up-4th, dim 5th
| up-4th, dim 5th
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|-
|-
| 11
| 11
| 600.000
| 600.0
| [[7/5]], [[24/17]], [[17/12]], [[10/7]]
| [[7/5]], [[24/17]], [[17/12]], [[10/7]]
| downaug 4th, updim 5th
| downaug 4th, updim 5th
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|-
|-
| 12
| 12
| 654.545
| 654.5
| [[16/11]], [[22/15]]
| [[16/11]], [[22/15]]
| aug 4th, down-5th
| aug 4th, down-5th
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|-
|-
| 13
| 13
| 709.091
| 709.1
| [[3/2]]
| [[3/2]]
| perfect 5th
| perfect 5th
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|-
|-
| 14
| 14
| 763.636
| 763.6
| [[17/11]], [[14/9]], [[11/7]]
| [[17/11]], [[14/9]], [[11/7]]
| minor 6th
| minor 6th
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|-
|-
| 15
| 15
| 818.182
| 818.2
| [[8/5]], [[77/48]]
| [[8/5]], [[77/48]]
| upminor 6th
| upminor 6th
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|-
|-
| 16
| 16
| 872.727
| 872.7
| [[18/11]], [[28/17]], [[5/3]]
| [[18/11]], [[28/17]], [[5/3]]
| downmajor 6th
| downmajor 6th
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|-
|-
| 17
| 17
| 927.273
| 927.3
| [[17/10]], [[12/7]]
| [[17/10]], [[12/7]]
| major 6th
| major 6th
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|-
|-
| 18
| 18
| 981.818
| 981.8
| [[7/4]], [[30/17]], [[16/9]]
| [[7/4]], [[30/17]], [[16/9]]
| minor 7th
| minor 7th
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|-
|-
| 19
| 19
| 1036.364
| 1036.4
| [[9/5]], [[11/6]], [[20/11]]
| [[9/5]], [[11/6]], [[20/11]]
| upminor 7th, dim 8ve
| upminor 7th, dim 8ve
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|-
|-
| 20
| 20
| 1090.909
| 1090.9
| [[28/15]], [[15/8]], [[32/17]], [[17/9]]
| [[28/15]], [[15/8]], [[32/17]], [[17/9]]
| downmajor 7th, updim 8ve
| downmajor 7th, updim 8ve
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|-
|-
| 21
| 21
| 1145.455
| 1145.5
| [[31/16]], [[64/33]], [[33/17]], [[35/18]]
| [[31/16]], [[64/33]], [[33/17]], [[35/18]]
| major 7th, down 8ve
| major 7th, down 8ve
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|-
|-
| 22
| 22
| 1200.000
| 1200.0
| [[2/1]]
| [[2/1]]
| perfect octave
| perfect octave
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|-
|-
! [[5L 2s|Diatonic Interval Names]]
! [[5L 2s|Diatonic Interval Names]]
! Note Names<br />on D
! Note Names
|-
|-
| 0
| 0
| 0.00
| 0.0
| '''Perfect unison (P1)'''
| '''Perfect unison (P1)'''
| '''D'''
| '''D'''
|-
|-
| 1
| 1
| 54.545
| 54.5
| Minor second (m2)<br />Up-unison (^1)
| Minor second (m2)<br />Up unison (^1)
| Eb<br />^D
| Eb<br />^D
|-
|-
| 2
| 2
| 109.091
| 109.1
| Upminor 2nd (^m2)<br />Down-augmented unison (vA1)<br />Diminished third (d3)
| Upminor second (^m2)<br />Downaugmented unison (vA1)<br />Diminished third (d3)
| ^Eb<br />vD#<br />Fb
| ^Eb<br />vD#<br />Fb
|-
|-
| 3
| 3
| 163.636
| 163.6
| Downmajor second (vM2)<br />Augmented unison (A1)
| Downmajor second (vM2)<br />Augmented unison (A1)
| vE<br />D#
| vE<br />D#
|-
|-
| 4
| 4
| 218.182
| 218.2
| '''Major second (M2)'''<br />Up-augmented unison (^A1)<br />Downminor third (vm3)
| '''Major second (M2)'''<br />Upaugmented unison (^A1)<br />Downminor third (vm3)
| '''E'''<br />^D#<br />vF
| '''E'''<br />^D#<br />vF
|-
|-
| 5
| 5
| 272.727
| 272.7
| Upmajor second (^M2)<br />'''Minor third (m3)'''
| Upmajor second (^M2)<br />'''Minor third (m3)'''
| ^E<br />'''F'''
| ^E<br />'''F'''
|-
|-
| 6
| 6
| 327.273
| 327.3
| '''Upminor third (^m3)'''<br />Diminished fourth (d4)
| '''Upminor third (^m3)'''<br />Diminished fourth (d4)
| '''^F'''<br />Gb
| '''^F'''<br />Gb
|-
|-
| 7
| 7
| 381.818
| 381.8
| '''Downmajor third (vM3)'''<br />Augmented second (A2)<br />Up-diminished fourth (^d4)
| '''Downmajor third (vM3)'''<br />Augmented second (A2)<br />Updiminished fourth (^d4)
| '''vF#'''<br />E#<br />^Gb
| '''vF#'''<br />E#<br />^Gb
|-
|-
| 8
| 8
| 436.364
| 436.4
| '''Major third (M3)'''<br />Up-augmented second (^A2)<br />Down-fourth (v4)
| '''Major third (M3)'''<br />Upaugmented second (^A2)<br />Down fourth (v4)
| '''F#'''<br />^E#<br />vG
| '''F#'''<br />^E#<br />vG
|-
|-
| 9
| 9
| 490.909
| 490.9
| '''Perfect fourth (P4)'''
| '''Perfect fourth (P4)'''
| '''G'''
| '''G'''
|-
|-
| 10
| 10
| 545.455
| 545.5
| Up-fourth (^4)<br />Diminished fifth (d5)
| Up fourth (^4)<br />Diminished fifth (d5)
| ^G<br />Ab
| ^G<br />Ab
|-
|-
| 11
| 11
| 600.000
| 600.0
| Down-augmented fourth (vA4)<br />Up-diminished fifth (^d5)
| Downaugmented fourth (vA4)<br />Updiminished fifth (^d5)
| vG#<br />^Ab
| vG#<br />^Ab
|-
|-
| 12
| 12
| 654.545
| 654.5
| Augmented fourth (A4)<br />Down-fifth (v5)
| Augmented fourth (A4)<br />Down fifth (v5)
| G#<br />vA
| G#<br />vA
|-
|-
| 13
| 13
| 709.091
| 709.1
| '''Perfect fifth (P5)'''
| '''Perfect fifth (P5)'''
| '''A'''
| '''A'''
|-
|-
| 14
| 14
| 763.636
| 763.6
| Up-fifth (^5)<br />Minor sixth (m6)
| Up fifth (^5)<br />Minor sixth (m6)
| ^A<br />Bb
| ^A<br />Bb
|-
|-
| 15
| 15
| 818.182
| 818.2
| Down-augmented fifth (vA5)<br />Upminor sixth (^m6)
| Downaugmented fifth (vA5)<br />Upminor sixth (^m6)
| vA#<br />^Bb
| vA#<br />^Bb
|-
|-
| 16
| 16
| 872.727
| 872.7
| Augmented fifth (A5)<br />'''Downmajor sixth (vM6)'''
| Augmented fifth (A5)<br />'''Downmajor sixth (vM6)'''
| A#<br />'''vB'''
| A#<br />'''vB'''
|-
|-
| 17
| 17
| 927.273
| 927.3
| '''Major sixth (M6)'''<br />Up-augmented fifth (^A5)<br />Downminor seventh (vm7)
| '''Major sixth (M6)'''<br />Upaugmented fifth (^A5)<br />Downminor seventh (vm7)
| '''B'''<br />^A#<br />vC
| '''B'''<br />^A#<br />vC
|-
|-
| 18
| 18
| 981.818
| 981.8
| '''Minor seventh (m7)'''<br />Upmajor sixth (^M6)<br />Down-diminished octave (vd8)
| '''Minor seventh (m7)'''<br />Upmajor sixth (^M6)<br />Downdiminished octave (vd8)
| '''C'''<br />^B<br />vDb
| '''C'''<br />^B<br />vDb
|-
|-
| 19
| 19
| 1036.364
| 1036.4
| '''Upminor seventh (^m7)'''<br />Diminished octave (d8)
| '''Upminor seventh (^m7)'''<br />Diminished octave (d8)
| '''^C'''<br />Db
| '''^C'''<br />Db
|-
|-
| 20
| 20
| 1090.909
| 1090.9
| Downmajor seventh (vM7)<br />Up-diminished octave (^d8)<br />Augmented sixth (A6)
| Downmajor seventh (vM7)<br />Updiminished octave (^d8)<br />Augmented sixth (A6)
| vC#<br />^Db<br />B#
| vC#<br />^Db<br />B#
|-
|-
| 21
| 21
| 1145.455
| 1145.5
| Major seventh (M7)<br />Down-octave (v8)
| Major seventh (M7)<br />Down octave (v8)
| C#<br />vD
| C#<br />vD
|-
|-
| 22
| 22
| 1200.000
| 1200.0
| '''Perfect octave (P8)'''
| '''Perfect octave (P8)'''
| '''D'''
| '''D'''
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! [[Degree]]
! [[Degree]]
! [[Cent]]s
! [[Cent]]s
! colspan="2" | Superpyth/Porcupine Notation
! colspan="2" | Superpyth/Porcupine  
! colspan="3" | Porcupine
! colspan="3" | Porcupine
! colspan="3" | Pentatonic
! colspan="3" | Pentatonic