27edo: Difference between revisions

Intervals: restore basic ups and downs notation
Line 31: Line 31:
! #
! #
! Cents
! Cents
! [[Interval region]]s
! Approximate ratios<ref group="note">As a 2.3.5.7.13.19-[[subgroup]] temperament, inconsistent intervals in ''italic''. </ref>
! Approximate ratios<ref group="note">As a 2.3.5.7.13.19-[[subgroup]] temperament, inconsistent intervals in ''italic''. </ref>
! [[Interval region]]s
! [[Kite's ups and downs notation|Ups and downs notation]]
|-
|-
| 0
| 0
| 0.0
| 0.0
| Unison
| [[1/1]]
| [[1/1]]
| unison
| {{UDnote|step=0}}
|-
|-
| 1
| 1
| 44.4
| 44.4
| Diesis
| [[28/27]], [[36/35]], [[39/38]], [[49/48]], [[50/49]], ''[[81/80]]''
| [[28/27]], [[36/35]], [[39/38]], [[49/48]], [[50/49]], ''[[81/80]]''
| diesis
| {{UDnote|step=1}}
|-
|-
| 2
| 2
| 88.9
| 88.9
| Minor second
| ''[[16/15]]'', [[21/20]], [[25/24]], [[19/18]], [[20/19]]
| ''[[16/15]]'', [[21/20]], [[25/24]], [[19/18]], [[20/19]]
| minor second
| {{UDnote|step=2}}
|-
|-
| 3
| 3
| 133.3
| 133.3
| Neutral second
| [[15/14]], [[14/13]], [[13/12]]
| [[15/14]], [[14/13]], [[13/12]]
| neutral second
| {{UDnote|step=3}}
|-
|-
| 4
| 4
| 177.8
| 177.8
| Small major second
| [[10/9]]
| [[10/9]]
| small major second
| {{UDnote|step=4}}
|-
|-
| 5
| 5
| 222.2
| 222.2
| Large major second
| [[8/7]], [[9/8]]
| [[8/7]], [[9/8]]
| large major second
| {{UDnote|step=5}}
|-
|-
| 6
| 6
| 266.7
| 266.7
| Subminor third
| [[7/6]]
| [[7/6]]
| subminor third
| {{UDnote|step=6}}
|-
|-
| 7
| 7
| 311.1
| 311.1
| Minor third
| [[6/5]], [[19/16]]
| [[6/5]], [[19/16]]
| minor third
| {{UDnote|step=7}}
|-
|-
| 8
| 8
| 355.6
| 355.6
| Neutral third
| [[16/13]]
| [[16/13]]
| neutral third
| {{UDnote|step=8}}
|-
|-
| 9
| 9
| 400.0
| 400.0
| Major third
| [[5/4]], [[24/19]]
| [[5/4]], [[24/19]]
| major third
| {{UDnote|step=9}}
|-
|-
| 10
| 10
| 444.4
| 444.4
| Supermajor third
| [[9/7]], [[13/10]]
| [[9/7]], [[13/10]]
| supermajor third
| {{UDnote|step=10}}
|-
|-
| 11
| 11
| 488.9
| 488.9
| Perfect fourth
| [[4/3]]
| [[4/3]]
| fourth
| {{UDnote|step=11}}
|-
|-
| 12
| 12
| 533.3
| 533.3
| Superfourth
| [[19/14]], [[26/19]], [[27/20]], [[48/35]]
| [[19/14]], [[26/19]], [[27/20]], [[48/35]]
| superfourth
| {{UDnote|step=12}}
|-
|-
| 13
| 13
| 577.8
| 577.8
| Small tritone
| [[7/5]], [[18/13]]
| [[7/5]], [[18/13]]
| small tritone
| {{UDnote|step=13}}
|-
|-
| 14
| 14
| 622.2
| 622.2
| Large tritone
| [[10/7]], [[13/9]]
| [[10/7]], [[13/9]]
| large tritone
| {{UDnote|step=14}}
|-
|-
| 15
| 15
| 666.7
| 666.7
| Subfifth
| [[19/13]], [[28/19]], [[35/24]], [[40/27]]
| [[19/13]], [[28/19]], [[35/24]], [[40/27]]
| subfifth
| {{UDnote|step=15}}
|-
|-
| 16
| 16
| 711.1
| 711.1
| Perfect fifth
| [[3/2]]
| [[3/2]]
| fifth
| {{UDnote|step=16}}
|-
|-
| 17
| 17
| 755.6
| 755.6
| Subminor sixth
| [[14/9]], [[20/13]]
| [[14/9]], [[20/13]]
| subminor sixth
| {{UDnote|step=17}}
|-
|-
| 18
| 18
| 800.0
| 800.0
| Minor sixth
| [[8/5]], [[19/12]]
| [[8/5]], [[19/12]]
| minor sixth
| {{UDnote|step=18}}
|-
|-
| 19
| 19
| 844.4
| 844.4
| Neutral sixth
| [[13/8]]
| [[13/8]]
| neutral sixth
| {{UDnote|step=19}}
|-
|-
| 20
| 20
| 888.9
| 888.9
| Major sixth
| [[5/3]], [[32/19]]
| [[5/3]], [[32/19]]
| major sixth
| {{UDnote|step=20}}
|-
|-
| 21
| 21
| 933.3
| 933.3
| Supermajor sixth
| [[12/7]]
| [[12/7]]
| supermajor sixth
| {{UDnote|step=21}}
|-
|-
| 22
| 22
| 977.8
| 977.8
| Harmonic seventh
| [[7/4]], [[16/9]]
| [[7/4]], [[16/9]]
| harmonic seventh
| {{UDnote|step=22}}
|-
|-
| 23
| 23
| 1022.2
| 1022.2
| Large minor seventh
| [[9/5]]
| [[9/5]]
| large minor seventh
| {{UDnote|step=23}}
|-
|-
| 24
| 24
| 1066.7
| 1066.7
| Neutral seventh
| [[13/7]], [[24/13]], [[28/15]]
| [[13/7]], [[24/13]], [[28/15]]
| neutral seventh
| {{UDnote|step=24}}
|-
|-
| 25
| 25
| 1111.1
| 1111.1
| Major seventh
| ''[[15/8]]'', [[19/10]], [[36/19]], [[40/21]], [[48/25]]
| ''[[15/8]]'', [[19/10]], [[36/19]], [[40/21]], [[48/25]]
| major seventh
| {{UDnote|step=25}}
|-
|-
| 26
| 26
| 1155.6
| 1155.6
| Supermajor seventh
| [[27/14]], [[35/18]], [[49/25]], [[96/49]], ''[[160/81]]''
| [[27/14]], [[35/18]], [[49/25]], [[96/49]], ''[[160/81]]''
| supermajor seventh
| {{UDnote|step=26}}
|-
|-
| 27
| 27
| 1200.0
| 1200.0
| Octave
| [[2/1]]
| [[2/1]]
| octave
| {{UDnote|step=27}}
 
|}
|}
<references group="note" />
<references group="note" />