Xenharmonic Wiki

31edo: Difference between revisions

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→Intervals: + a fairly undisputed interval category system for this specific edo
→Intervals: sort intervals by complexity
Line 54: Line 54:
| 38.7
| 38.7
| Super-unison
| Super-unison
| [[45/44]], [[49/48]], [[46/45]], [[128/125]], [[36/35]]
| [[36/35]], [[45/44]], [[46/45]], [[49/48]], [[128/125]]
| {{UDnote|step=1}}
| {{UDnote|step=1}}
|-
|-
Line 60: Line 60:
| 77.4
| 77.4
| Subminor second
| Subminor second
| [[25/24]], [[21/20]], [[22/21]], [[23/22]]
| [[21/20]], [[22/21]], [[23/22]], [[25/24]]
| {{UDnote|step=2}}
| {{UDnote|step=2}}
|-
|-
Line 72: Line 72:
| 154.8
| 154.8
| Neutral second
| Neutral second
| [[12/11]], [[11/10]], [[35/32]]
| [[11/10]], [[12/11]], [[35/32]]
| {{UDnote|step=4}}
| {{UDnote|step=4}}
|-
|-
Line 96: Line 96:
| 309.7
| 309.7
| Minor third
| Minor third
| [[6/5]], ''[[13/11]]'', [[25/21]]
| [[6/5]], [[25/21]], ''[[13/11]]''
| {{UDnote|step=8}}
| {{UDnote|step=8}}
|-
|-
Line 102: Line 102:
| 348.4
| 348.4
| Neutral third
| Neutral third
| [[11/9]], [[27/22]], [[16/13]], [[60/49]], [[49/40]]
| [[11/9]], [[16/13]], [[27/22]], [[49/40]], [[60/49]]
| {{UDnote|step=9}}
| {{UDnote|step=9}}
|-
|-
Line 120: Line 120:
| 464.5
| 464.5
| Subfourth
| Subfourth
| [[21/16]], [[64/49]], [[13/10]], [[17/13]], [[125/96]]
| [[13/10]], [[17/13]], [[21/16]], [[64/49]], [[125/96]]
| {{UDnote|step=12}}
| {{UDnote|step=12}}
|-
|-
Line 132: Line 132:
| 541.9
| 541.9
| Superfourth
| Superfourth
| [[175/128]], [[11/8]], [[15/11]], ''[[18/13]]'', [[26/19]]
| [[11/8]], [[15/11]], [[26/19]], [[175/128]], ''[[18/13]]''
| {{UDnote|step=14}}
| {{UDnote|step=14}}
|-
|-
Line 138: Line 138:
| 580.6
| 580.6
| Augmented fourth
| Augmented fourth
| [[7/5]], [[45/32]], [[25/18]]
| [[7/5]], [[25/18]], [[45/32]]
| {{UDnote|step=15}}
| {{UDnote|step=15}}
|-
|-
Line 144: Line 144:
| 619.4
| 619.4
| Diminished fifth
| Diminished fifth
| [[10/7]], [[64/45]], [[36/25]]
| [[10/7]], [[36/25]], [[64/45]]
| {{UDnote|step=16}}
| {{UDnote|step=16}}
|-
|-
Line 150: Line 150:
| 658.1
| 658.1
| Subfifth
| Subfifth
| [[256/175]], ''[[13/9]]'', [[16/11]], [[22/15]], [[19/13]]
| [[16/11]], [[19/13]], [[22/15]], [[256/175]], ''[[13/9]]''
| {{UDnote|step=17}}
| {{UDnote|step=17}}
|-
|-
Line 162: Line 162:
| 735.5
| 735.5
| Superfifth
| Superfifth
| [[32/21]], [[49/32]], [[20/13]], [[26/17]], [[192/125]]
| [[20/13]], [[26/17]], [[32/21]], [[49/32]], [[192/125]]
| {{UDnote|step=19}}
| {{UDnote|step=19}}
|-
|-
Line 168: Line 168:
| 774.2
| 774.2
| Subminor sixth
| Subminor sixth
| [[14/9]], [[11/7]], [[25/16]]
| [[11/7]], [[14/9]], [[25/16]]
| {{UDnote|step=20}}
| {{UDnote|step=20}}
|-
|-
Line 180: Line 180:
| 851.6
| 851.6
| Neutral sixth
| Neutral sixth
| [[18/11]], [[44/27]], [[13/8]], [[49/30]], [[80/49]]
| [[13/8]], [[18/11]], [[44/27]], [[49/30]], [[80/49]]
| {{UDnote|step=22}}
| {{UDnote|step=22}}
|-
|-
Line 204: Line 204:
| 1006.5
| 1006.5
| Minor seventh
| Minor seventh
| [[16/9]], [[9/5]], [[34/19]], [[25/14]]
| [[9/5]], [[16/9]], [[25/14]], [[34/19]]
| {{UDnote|step=26}}
| {{UDnote|step=26}}
|-
|-
Line 216: Line 216:
| 1083.9
| 1083.9
| Major seventh
| Major seventh
| [[28/15]], [[15/8]]
| [[15/8]], [[28/15]]
| {{UDnote|step=28}}
| {{UDnote|step=28}}
|-
|-
Line 222: Line 222:
| 1122.6
| 1122.6
| Supermajor seventh
| Supermajor seventh
| [[48/25]], [[40/21]], [[21/11]], [[44/23]]
| [[21/11]], [[40/21]], [[44/23]], [[48/25]]
| {{UDnote|step=29}}
| {{UDnote|step=29}}
|-
|-
Line 228: Line 228:
| 1161.3
| 1161.3
| Sub-octave
| Sub-octave
| [[88/45]], [[96/49]], [[45/23]], [[125/64]], [[35/18]]
| [[35/18]], [[45/23]], [[88/45]], [[96/49]], [[125/64]]
| {{UDnote|step=30}}
| {{UDnote|step=30}}
|-
|-
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