27edo: Difference between revisions
→Intervals: restore basic ups and downs notation |
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! # | ! # | ||
! 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> | ||
! [[ | ! [[Kite's ups and downs notation|Ups and downs notation]] | ||
|- | |- | ||
| 0 | | 0 | ||
| 0.0 | | 0.0 | ||
| Unison | |||
| [[1/1]] | | [[1/1]] | ||
| | | {{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]]'' | ||
| | | {{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]] | ||
| | | {{UDnote|step=2}} | ||
|- | |- | ||
| 3 | | 3 | ||
| 133.3 | | 133.3 | ||
| Neutral second | |||
| [[15/14]], [[14/13]], [[13/12]] | | [[15/14]], [[14/13]], [[13/12]] | ||
| | | {{UDnote|step=3}} | ||
|- | |- | ||
| 4 | | 4 | ||
| 177.8 | | 177.8 | ||
| Small major second | |||
| [[10/9]] | | [[10/9]] | ||
| | | {{UDnote|step=4}} | ||
|- | |- | ||
| 5 | | 5 | ||
| 222.2 | | 222.2 | ||
| Large major second | |||
| [[8/7]], [[9/8]] | | [[8/7]], [[9/8]] | ||
| | | {{UDnote|step=5}} | ||
|- | |- | ||
| 6 | | 6 | ||
| 266.7 | | 266.7 | ||
| Subminor third | |||
| [[7/6]] | | [[7/6]] | ||
| | | {{UDnote|step=6}} | ||
|- | |- | ||
| 7 | | 7 | ||
| 311.1 | | 311.1 | ||
| Minor third | |||
| [[6/5]], [[19/16]] | | [[6/5]], [[19/16]] | ||
| | | {{UDnote|step=7}} | ||
|- | |- | ||
| 8 | | 8 | ||
| 355.6 | | 355.6 | ||
| Neutral third | |||
| [[16/13]] | | [[16/13]] | ||
| | | {{UDnote|step=8}} | ||
|- | |- | ||
| 9 | | 9 | ||
| 400.0 | | 400.0 | ||
| Major third | |||
| [[5/4]], [[24/19]] | | [[5/4]], [[24/19]] | ||
| | | {{UDnote|step=9}} | ||
|- | |- | ||
| 10 | | 10 | ||
| 444.4 | | 444.4 | ||
| Supermajor third | |||
| [[9/7]], [[13/10]] | | [[9/7]], [[13/10]] | ||
| | | {{UDnote|step=10}} | ||
|- | |- | ||
| 11 | | 11 | ||
| 488.9 | | 488.9 | ||
| Perfect fourth | |||
| [[4/3]] | | [[4/3]] | ||
| | | {{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]] | ||
| | | {{UDnote|step=12}} | ||
|- | |- | ||
| 13 | | 13 | ||
| 577.8 | | 577.8 | ||
| Small tritone | |||
| [[7/5]], [[18/13]] | | [[7/5]], [[18/13]] | ||
| | | {{UDnote|step=13}} | ||
|- | |- | ||
| 14 | | 14 | ||
| 622.2 | | 622.2 | ||
| Large tritone | |||
| [[10/7]], [[13/9]] | | [[10/7]], [[13/9]] | ||
| | | {{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]] | ||
| | | {{UDnote|step=15}} | ||
|- | |- | ||
| 16 | | 16 | ||
| 711.1 | | 711.1 | ||
| Perfect fifth | |||
| [[3/2]] | | [[3/2]] | ||
| | | {{UDnote|step=16}} | ||
|- | |- | ||
| 17 | | 17 | ||
| 755.6 | | 755.6 | ||
| Subminor sixth | |||
| [[14/9]], [[20/13]] | | [[14/9]], [[20/13]] | ||
| | | {{UDnote|step=17}} | ||
|- | |- | ||
| 18 | | 18 | ||
| 800.0 | | 800.0 | ||
| Minor sixth | |||
| [[8/5]], [[19/12]] | | [[8/5]], [[19/12]] | ||
| | | {{UDnote|step=18}} | ||
|- | |- | ||
| 19 | | 19 | ||
| 844.4 | | 844.4 | ||
| Neutral sixth | |||
| [[13/8]] | | [[13/8]] | ||
| | | {{UDnote|step=19}} | ||
|- | |- | ||
| 20 | | 20 | ||
| 888.9 | | 888.9 | ||
| Major sixth | |||
| [[5/3]], [[32/19]] | | [[5/3]], [[32/19]] | ||
| | | {{UDnote|step=20}} | ||
|- | |- | ||
| 21 | | 21 | ||
| 933.3 | | 933.3 | ||
| Supermajor sixth | |||
| [[12/7]] | | [[12/7]] | ||
| | | {{UDnote|step=21}} | ||
|- | |- | ||
| 22 | | 22 | ||
| 977.8 | | 977.8 | ||
| Harmonic seventh | |||
| [[7/4]], [[16/9]] | | [[7/4]], [[16/9]] | ||
| | | {{UDnote|step=22}} | ||
|- | |- | ||
| 23 | | 23 | ||
| 1022.2 | | 1022.2 | ||
| Large minor seventh | |||
| [[9/5]] | | [[9/5]] | ||
| | | {{UDnote|step=23}} | ||
|- | |- | ||
| 24 | | 24 | ||
| 1066.7 | | 1066.7 | ||
| Neutral seventh | |||
| [[13/7]], [[24/13]], [[28/15]] | | [[13/7]], [[24/13]], [[28/15]] | ||
| | | {{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]] | ||
| | | {{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]]'' | ||
| | | {{UDnote|step=26}} | ||
|- | |- | ||
| 27 | | 27 | ||
| 1200.0 | | 1200.0 | ||
| Octave | |||
| [[2/1]] | | [[2/1]] | ||
| | | {{UDnote|step=27}} | ||
|} | |} | ||
<references group="note" /> | <references group="note" /> | ||