16ed5/3: Difference between revisions
→Temperaments: Rearranged paragraph to make sense Tags: Mobile edit Mobile web edit |
added escapade interpretations of intervals |
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! Degree | ! Degree | ||
! Cents | ! Cents | ||
! | ! 5/3.4/3.11/6.31/18 subgroup interval | ||
! Other interpretations | |||
! 2L 5s<5/3> mos-interval | ! 2L 5s<5/3> mos-interval | ||
! 2L 5s<5/3> notation | ! 2L 5s<5/3> notation | ||
! 1L 4s<5/3> ([[Blackcomb]][5]) interval | ! 1L 4s<5/3> ([[Blackcomb]][5]) interval | ||
! 1L 4s<5/3> ([[Blackcomb]][5]) notation | ! 1L 4s<5/3> ([[Blackcomb]][5]) notation | ||
! Diatonic interval | |||
|- | |- | ||
| '''0''' | | '''0''' | ||
| '''0.0000''' | | '''0.0000''' | ||
| '''1''' | | '''1/1''' | ||
| ''' | | '''''' | ||
| '''unison''' | | '''unison''' | ||
| '''E''' | | '''E''' | ||
| '''unison''' | | '''unison''' | ||
| '''C''' | | '''C''' | ||
| '''unison''' | |||
|- | |- | ||
| 1 | | 1 | ||
| 55.2724 | | 55.2724 | ||
| | | 33/32, 32/31, 31/30 | ||
| 36/35 | |||
| aug unison | | aug unison | ||
| E# | | E# | ||
| aug unison | | aug unison | ||
| C# | | C# | ||
| quartertone | |||
|- | |- | ||
| 2 | | 2 | ||
| 110.5448 | | 110.5448 | ||
| 16/15, | | 16/15, 33/31 | ||
| 21/20 | |||
| min mos2nd | | min mos2nd | ||
| Fb | | Fb | ||
| double-aug unison, dim second | | double-aug unison, dim second | ||
| Cx, Dbb | | Cx, Dbb | ||
| minor second | |||
|- | |- | ||
| 3 | | 3 | ||
| 165.8173 | | 165.8173 | ||
| 11/10 | | 11/10 | ||
| | |||
| maj mos2nd | | maj mos2nd | ||
| F | | F | ||
| minor second | | minor second | ||
| Db | | Db | ||
| neutral second | |||
|- | |- | ||
| 4 | | 4 | ||
| 221.0897 | | 221.0897 | ||
| 25/22 | |||
| 8/7, 17/15 | | 8/7, 17/15 | ||
| min mos3rd | | min mos3rd | ||
| F#/Gb | | F#/Gb | ||
| major second | | major second | ||
| D | | D | ||
| major second | |||
|- | |- | ||
| 5 | | 5 | ||
| 276.3621 | | 276.3621 | ||
| 75/64, 7/6, 20/17 | | 75/64, 88/75 | ||
| 7/6, 20/17 | |||
| maj mos3rd | | maj mos3rd | ||
| G | | G | ||
| aug second | | aug second | ||
| D# | | D# | ||
| subminor third | |||
|- | |- | ||
| 6 | | 6 | ||
| 331.6345 | | 331.6345 | ||
| 6/5 | | 40/33, 75/62 | ||
| 6/5, 17/14 | |||
| dim mos4th | | dim mos4th | ||
| G#/Ab | | G#/Ab | ||
| minor third | | minor third | ||
| Eb | | Eb | ||
| minor third | |||
|- | |- | ||
| 7 | | 7 | ||
| ''386.9069'' | | ''386.9069'' | ||
| ''5/4'' | | ''5/4'' | ||
| | |||
| ''perf mos4th'' | | ''perf mos4th'' | ||
| A | | A | ||
| major third | | major third | ||
| E | | E | ||
| major third | |||
|- | |- | ||
| 8 | | 8 | ||
| 442.1794 | | 442.1794 | ||
| 31/24, 40/31 | |||
| 9/7, 35/27, 22/17 | | 9/7, 35/27, 22/17 | ||
| aug mos4th | | aug mos4th | ||
| A#/Bb | | A#/Bb | ||
| aug third | | aug third | ||
| E# | | E# | ||
| supermajor third | |||
|- | |- | ||
| 9 | | 9 | ||
| ''497.4517'' | | ''497.4517'' | ||
| ''4/3'' | | ''4/3'' | ||
| | |||
| ''perf mos5th'' | | ''perf mos5th'' | ||
| B | | B | ||
| dim fourth | | dim fourth | ||
| Fb | | Fb | ||
| just fourth | |||
|- | |- | ||
| 10 | | 10 | ||
| 552.7242 | | 552.7242 | ||
| 25/18 | | 11/8, 62/45 | ||
| 25/18, 18/13 | |||
| aug mos5th | | aug mos5th | ||
| B# | | B# | ||
| perfect fourth | | perfect fourth | ||
| F | | F | ||
| wide fourth | |||
|- | |- | ||
| 11 | | 11 | ||
| 607.9966 | | 607.9966 | ||
| 64/45 | | 44/31, 64/45 | ||
| 10/7, 17/12 | |||
| min mos6th | | min mos6th | ||
| Cb | | Cb | ||
| aug fourth | | aug fourth | ||
| F# | | F# | ||
| large tritone | |||
|- | |- | ||
| 12 | | 12 | ||
| 663.2690 | | 663.2690 | ||
| 72/49 | | 22/15 | ||
| 72/49 | |||
| maj mos6th | | maj mos6th | ||
| C | | C | ||
| dim fifth | | dim fifth | ||
| Gb | | Gb | ||
| narrow fifth | |||
|- | |- | ||
| 13 | | 13 | ||
| 718.5415 | | 718.5415 | ||
| 3/2 | | 50/33 | ||
| 3/2 | |||
| min mos7th | | min mos7th | ||
| C#/Db | | C#/Db | ||
| perfect fifth | | perfect fifth | ||
| G | | G | ||
| acute fifth | |||
|- | |- | ||
| 14 | | 14 | ||
| 773.8129 | | 773.8129 | ||
| 25/16 | | 25/16 | ||
| | |||
| maj mos7th | | maj mos7th | ||
| D | | D | ||
| aug fifth | | aug fifth | ||
| G# | | G# | ||
| subminor sixth | |||
|- | |- | ||
| 15 | | 15 | ||
| 829.0863 | | 829.0863 | ||
| 50/31 | |||
| 8/5, 13/8 | | 8/5, 13/8 | ||
| dim mos8ave | | dim mos8ave | ||
| D#/Eb | | D#/Eb | ||
| dim sixth | | dim sixth | ||
| Cb | | Cb | ||
| minor sixth | |||
|- | |- | ||
| '''16''' | | '''16''' | ||
| '''884.3587''' | | '''884.3587''' | ||
| '''5/3''' | | '''5/3''' | ||
| | |||
| '''mosoctave''' | | '''mosoctave''' | ||
| '''E''' | | '''E''' | ||
| '''perfect sixth''' | | '''perfect sixth''' | ||
| '''C''' | | '''C''' | ||
| '''major sixth''' | |||
|- | |- | ||
| 17 | | 17 | ||
| 939.6311 | | 939.6311 | ||
| 31/18, 55/32 | |||
| 12/7, 19/11 | | 12/7, 19/11 | ||
| aug mos8ave | | aug mos8ave | ||
| E# | | E# | ||
| aug sixth | | aug sixth | ||
| C# | | C# | ||
| supermajor sixth | |||
|- | |- | ||
| 18 | | 18 | ||
| 994.9035 | | 994.9035 | ||
| 16/9, | | 16/9, 55/31 | ||
| 7/4 | |||
| min mos9th | | min mos9th | ||
| Fb | | Fb | ||
| double-aug sixth, dim seventh | | double-aug sixth, dim seventh | ||
|Cx, Dbb | | Cx, Dbb | ||
| minor seventh | |||
|- | |- | ||
| 19 | | 19 | ||
Line 194: | Line 214: | ||
| 11/6 | | 11/6 | ||
| maj mos9th | | maj mos9th | ||
| F | | F | ||
| minor seventh | | minor seventh | ||
|Db | | Db | ||
| neutral seventh | |||
|- | |- | ||
| 20 | | 20 | ||
| 1105.4484 | | 1105.4484 | ||
| 176/93, 125/66, 256/135 | |||
| 40/21, (27/14), 17/9 | | 40/21, (27/14), 17/9 | ||
| min mos10th | | min mos10th | ||
| F#/Gb | |||
| major seventh | | major seventh | ||
| | | D | ||
| major seventh | | major seventh | ||
|- | |- | ||
| 21 | | 21 | ||
| 1160.7208 | | 1160.7208 | ||
| 88/45, 125/64 | |||
| 35/18, 43/22 | | 35/18, 43/22 | ||
| maj mos10th | | maj mos10th | ||
| G | | G | ||
| aug seventh | | aug seventh | ||
|D# | | D# | ||
| narrow octave | |||
|- | |- | ||
| 22 | | 22 | ||
| 1215.9932 | | 1215.9932 | ||
| 200/99, 121/60, 125/62 | |||
| 2/1 | | 2/1 | ||
| dim mos11th | | dim mos11th | ||
| G#/Ab | | G#/Ab | ||
| minor octave | | minor octave | ||
|Eb | | Eb | ||
| octave | |||
|} | |} | ||
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!23ed18\17 | !23ed18\17 | ||
! 16ed5/3 | ! 16ed5/3 | ||
! [[ | ! [[9ed4/3]] (Noleta) | ||
! [[43ed4]] | ! [[43ed4]] | ||
! [[34edt]] | ! [[34edt]] |