SKULO interval names: Difference between revisions

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|+Basic SKU extended-diatonic intervals
|+Basic SKU extended-diatonic intervals
!Short-form
!Short-form
!Mid-form
!Long-form
!Long-form
!JI interval represented
!JI interval represented
|-
|-
|P1
|P1
|prf 1st
|perfect unison
|perfect unison
|1/1
|1/1
|-
|-
|K1
|K1
|k-wde 1st
|komma-wide/comma-wide unison
|komma-wide/comma-wide unison
|81/80
|81/80
|-
|-
|S1
|S1
|sup 1st
|super unison
|super unison
|64/63
|64/63
|-
|-
|U1
|U1
|ubr 1st
|uber unison
|uber unison
|33/32
|33/32
|-
|(kkA1)
|(klassisch/classic augmented unison)
|(25/24)
|-
|kA1
|komma-narrow/comma-narrow augmented unison
|135/128
|-
|A1
|augmented unison
|2187/2048
|-
|SA1
|super augmented unison
|243/224
|-
|-
|sm2
|sm2
|sub-min 2nd
|subminor second
|subminor second
|28/27
|28/27
|-
|-
|m2
|m2
|min 2nd
|minor second
|minor second
|256/243
|256/243
|-
|-
|Km2
|Km2
|kla-min 2nd
|klassisch/classic minor second
|klassisch/classic minor second
|16/15
|16/15
|-
|-
|Um2/n2
|Um2/n2
|ubr-min 2nd / lsr-ntl 2nd
|uber minor second / lesser neutral second
|uber minor second / lesser neutral second
|88/81
|88/81
|-
|-
|uM2/N2
|uM2/N2
|unt-maj 2nd / gtr-ntl 2nd
|unter major second  / greater neutral second
|unter major second  / greater neutral second
|12/11
|12/11
|-
|-
|kM2
|kM2
|k-nrw 2nd
|komma-narrow/comma narrow major second, klassisch/classic major second
|komma-narrow/comma narrow major second
|10/9
|10/9
|-
|-
|M2
|M2
|maj 2nd
|major second
|major second
|9/8
|9/8
|-
|-
|SM2
|SM2
|sup-maj 2nd
|supermajor second
|supermajor second
|8/7
|8/7
|-
|-
|sm3
|sm3
|sub-min 3rd
|subminor third
|subminor third
|7/6
|7/6
|-
|-
|m3
|m3
|min 3rd
|minor third
|minor third
|32/27
|32/27
|-
|-
|Km3
|Km3
|kla-min 3rd
|klassisch/classic minor third
|klassisch/classic minor third
|6/5
|6/5
|-
|-
|Um3/n3
|Um3/n3
|ubr-min 3rd / lsr-ntl 3rd
|uber minor third / lesser neutral third
|uber minor third / lesser neutral third
|11/9
|11/9
|-
|-
|uM3/N3
|uM3/N3
|unt-maj 3rd / gtr-ntl 3rd
|unter major third / greater neutral third
|unter major third / greater neutral third
|27/22
|27/22
|-
|-
|kM3
|kM3
|kla-maj 3rd
|klassisch/classic major third
|klassisch/classic major third
|5/4
|5/4
|-
|-
|M3
|M3
|maj 3rd
|major third
|major third
|81/64
|81/64
|-
|-
|SM3
|SM3
|sup-maj 3rd
|supermajor third
|supermajor third
|9/7
|9/7
|-
|-
|s4
|s4
|sub 4th
|sub fourth
|sub fourth
|21/16
|21/16
|-
|-
|P4
|P4
|prf 4th
|perfect fourth
|perfect fourth
|4/3
|4/3
|-
|-
|K4
|K4
|k-wde 4th
|komma-wide/comma-wide fourth
|komma-wide/comma-wide fourth
|27/20
|27/20
|-
|-
|U4
|U4
|ubr 4th (/ lsr-ntl 4th)
|uber fourth (/ lesser neutral fourth)
|uber fourth (/ lesser neutral fourth)
|11/8
|11/8
|-
|-
|uA4
|uA4
|unt-aug 4th (/ gtr-ntl 4th)
|unter augmented fourth (/ greater neutral fourth)
|unter augmented fourth (/ greater neutral fourth)
|243/176
|243/176
|-
|(kkA4)
|(klassisch/classic augmented fourth)
|(25/18)
|-
|-
|kA4
|kA4
|kla-aug 4th
|komma-narrow/comma-narrow augmented fourth
|klassisch/classic augmented fourth
|45/32
|45/32
|-
|-
|A4
|A4
|aug 4th
|augmented fourth
|augmented fourth
|729/512
|729/512
|-
|-
|SA4
|SA4
|sup-aug 4th
|super augmented fourth
|super augmented fourth
|81/56
|81/56
|-
|-
|sd5
|sd5
|sub-dim 5th
|sub diminished fifth
|sub diminished fifth
|112/81
|112/81
|-
|-
|d5
|d5
|dim 5th
|diminished fifth
|diminished fifth
|1024/729
|1024/729
|-
|-
|Kd5
|Kd5
|kla-dim 5th
|komma-wide/comma-wide diminished fifth
|klassisch/classic diminished fifth
|64/45
|64/45
|-
|(KKd5)
|(klassich/classic diminished fifth)
|(36/25)
|-
|-
|Ud5
|Ud5
|ubr-dim 5th (/lsr-ntl 5th)
|uber diminished fifth (/lesser neutral fifth)
|uber diminished fifth (/lesser neutral fifth)
|352/243
|352/243
|-
|-
|u5
|u5
|unt 5th (/gtr-ntl 5th)
|unter fifth (/greater neutral fifth)
|unter fifth (/greater neutral fifth)
|16/11
|16/11
|-
|-
|k5
|k5
|k-nrw 5th
|komma-narrow/comma-narrow fifth
|komma-narrow/comma-narrow fifth
|40/27
|40/27
|-
|-
|P5
|P5
|prf 5th
|perfect fifth
|perfect fifth
|3/2
|3/2
|-
|-
|S5
|S5
|sup 5th
|super fifth
|super fifth
|32/21
|32/21
|-
|-
|sm6
|sm6
|sub-min 6th
|subminor sixth
|subminor sixth
|14/9
|14/9
|-
|-
|m6
|m6
|min 6th
|minor sixth
|minor sixth
|128/81
|128/81
|-
|-
|Km6
|Km6
|kla-min 6th
|klassisch/classic minor sixth
|klassisch/classic minor sixth
|8/5
|8/5
|-
|-
|Um6/n6
|Um6/n6
|ubr-min 6th / lsr-ntl 6th
|uber minor sixth / lesser neutral sixth
|uber minor sixth / lesser neutral sixth
|44/27
|44/27
|-
|-
|uM6/N6
|uM6/N6
|unt-maj 6th / gtr-ntl 6th
|unter major sixth / greater neutral sixth
|unter major sixth / greater neutral sixth
|18/11
|18/11
|-
|-
|kM6
|kM6
|kla-maj 6th
|klassisch/classic major sixth
|klassisch/classic major sixth
|5/3
|5/3
|-
|-
|M6
|M6
|maj 6th
|major sixth
|major sixth
|27/16
|27/16
|-
|-
|SM6
|SM6
|sup-maj 6th
|supermajor sixth
|supermajor sixth
|12/7
|12/7
|-
|-
|sm7
|sm7
|sub-min 7th
|subminor seventh
|subminor seventh
|7/4
|7/4
|-
|-
|m7
|m7
|min 7th
|minor seventh
|minor seventh
|16/9
|16/9
|-
|-
|Km7
|Km7
|kla-min 7th
|komma-wide/comma-wide minor seventh / klassisch/classic minor seventh
|komma-wide/comma-wide minor seventh / klassisch/classic minor seventh
|9/5
|9/5
|-
|-
|Um7/n7
|Um7/n7
|ubr-min 7th / lsr-ntl 7th
|uber minor seventh / lesser neutral seventh
|uber minor seventh / lesser neutral seventh
|11/6
|11/6
|-
|-
|uM7/N7
|uM7/N7
|unt-maj 7th / gtr-ntl 7th
|unter minor seventh / greater neutral seventh
|unter minor seventh / greater neutral seventh
|81/44
|81/44
|-
|-
|kM7
|kM7
|kla-maj 7th
|klassisch/classic major seventh
|klassisch/classic major seventh
|15/8
|15/8
|-
|-
|M7
|M7
|maj 7th
|major seventh
|major seventh
|243/128
|243/128
|-
|-
|SM7
|SM7
|sup-maj 7th
|supermajor seventh
|supermajor seventh
|27/14
|27/14
|-
|sd8
|sub diminished octave
|448/243
|-
|d8
|diminished octave
|4096/2187
|-
|Kd8
|komma-wide/comma-wide diminished octave
|256/135
|-
|(KKd8)
|(klassisch/classic diminished octave)
|48/25
|-
|-
|u8
|u8
|unt 8ve
|unter octave
|unter octave
|64/33
|64/33
|-
|-
|s8
|s8
|sub 8ve
|sub octave
|sub octave
|63/32
|63/32
|-
|-
|k8
|k8
|k-nrw 8ve
|komma-narrow/comma-narrow octave
|komma-narrow/comma-narrow octave
|160/81
|160/81
|-
|-
|P8
|P8
|pft 8ve
|perfect octave
|perfect octave
|2/1
|2/1
Line 474: Line 457:
|1
|1
|54.55
|54.55
|minor second / comma-wide unison
|minor 2nd, comma-wide unison, (classic augmented unison)
|m2/K1
|m2, K1, (kkA1)
|256/243, 81/80
|256/243, 81/80, (25/24)
|sub minor second / uber unison
|subminor 2nd, uber unison
|sm2/U1
|sm2, U1
|28/27, 33/32
|28/27, 33/32
|-
|-
|2
|2
|109.09
|109.09
|classic minor second
|classic minor 2nd, comma-narrow augmented unison
|Km2
|Km2, kA1,
|16/15
|16/15, 135/128
|lesser neutral second
|lesser neutral 2nd, unter augmented unison
|n2
|n2, uA1
|88/81
|88/81, 729/704
|-
|-
|3
|3
|163.64
|163.64
|classic major second
|classic/comma-narrow major 2nd, augmented unison
|kM2
|kM2, A1
|10/9
|10/9, 2187/2048
|greater neutral second
|greater neutral 2nd, super augmented unison,
|N2
|N2, SA1
|12/11
|12/11, 243/224
|-
|-
|4
|4
|218.18
|218.18
|major second
|major 2nd
|M2
|M2
|9/8
|9/8
|super major second
|supermajor 2nd
|SM2
|SM2
|8/7
|8/7
Line 510: Line 493:
|5
|5
|272.73
|272.73
|minor third
|minor 3rd
|m3
|m3
|32/27
|32/27
|super minor third
|subminor 3rd
|sm3
|sm3
|7/6
|7/6
Line 519: Line 502:
|6
|6
|327.27
|327.27
|classic minor third
|classic minor 3rd
|Km3
|Km3
|6/5
|6/5
|lesser neutral third
|lesser neutral 3rd
|n3
|n3
|11/9
|11/9
Line 528: Line 511:
|7
|7
|381.82
|381.82
|classic major third
|classic major 3rd
|kM3
|kM3
|5/4
|5/4
|greater neutral third
|greater neutral 3rd
|N3
|N3
|27/22
|27/22
Line 537: Line 520:
|8
|8
|436.36
|436.36
|major third
|major 3rd
|M3
|M3
|81/64
|81/64
|super major third
|supermajor 3rd
|SM3
|SM3
|9/7
|9/7
Line 546: Line 529:
|9
|9
|490.91
|490.91
|perfect fourth
|perfect 4th
|P4
|P4
|4/3
|4/3
|sub fourth
|sub 4th
|s4
|s4
|21/16
|21/16
Line 555: Line 538:
|10
|10
|545.45
|545.45
|comma-wide fourth
|comma-wide 4th, (classic augmented 4th), diminished 5th
|K4
| K4, (kkA4), d5
|27/20
|27/20, (25/18), 729/512
|uber fourth
|uber 4th / lesser neutral 4th, sub diminished 5th
|U4
| U4/n4, sd5
|11/8
|11/8, 112/81
|-
|-
|11
|11
|600
|600
|classic augmented fourth
|comma-narrow augmented 4th, comma-wide diminished 5th
classic diminished fifth
|kA4, Kd5
|kA4
|45/32, 64/45
Kd5
|unter augmented 4th / greater neutral 4th, uber diminished 5th / lesser neutral 5th
|45/32
|uA4/N4, Ud5/n5
64/45
|243/176, 352/243
|unter augmented fourth
uber diminished fifth
|uA4
Ud5
|243/176
352/243
|-
|-
|12
|12
|654.55
|654.55
|comma-narrow fifth
|comma-narrow 5th, (classic diminished 5th), augmented 4th
|k5
|k5, (KKd5), A4
|40/27
|40/27, (32/25), 1024/729
|unter fifth
|unter 5th / greater neutral 5th, super augmented 4th
|u5
|u5/N5, SA4
|16/11
|16/11, 81/56
|-
|-
|13
|13
|709.09
|709.09
|perfect fifth
|perfect 5th
|P5
|P5
|3/2
|3/2
|super fifth
|super 5th
|S5
|S5
|32/21
|32/21
Line 597: Line 574:
|14
|14
|763.64
|763.64
|minor sixth
|minor 6th
|m6
|m6
|128/81
|128/81
|sub minor sixth
|subminor 6th
|sm6
|sm6
|14/9
|14/9
Line 606: Line 583:
|15
|15
|818.18
|818.18
|classic minor sixth
|classic minor 6th
|Km6
|Km6
|8/5
|8/5
|less neutral sixth
|lesser neutral 6th
|n6
|n6
|44/27
|44/27
Line 615: Line 592:
|16
|16
|872.73
|872.73
|classic major sixth
|classic major 6th
|kM6
|kM6
|5/3
|5/3
|greater neutral sixth
|greater neutral 6th
|N6
|N6
|18/11
|18/11
Line 624: Line 601:
|17
|17
|927.27
|927.27
|major sixth
|major 6th
|M6
|M6
|27/16
|27/16
|super major sixth
|supermajor 6th
|SM6
|SM6
|12/7
|12/7
Line 633: Line 610:
|18
|18
|981.82
|981.82
|minor seventh
|minor 7th
|m7
|m7
|16/9
|16/9
|sub minor seventh
|subminor 7th
|sm7
|sm7
|7/4
|7/4
Line 642: Line 619:
|19
|19
|1036.36
|1036.36
|classic minor seventh
|classic/comma-wide minor 7th, diminished 8ve
|Km7
|Km7, d8
|9/5
|9/5, 4096/2187
|lesser neutral seventh
| lesser neutral 7th, super diminished 8ve
|n7
|n7, sd8
|11/6
|11/6, 448/243
|-
|-
|20
|20
|1090.91
|1090.91
|classic major seventh
|classic major 7th, comma-wide diminished 8ve
|kM7
|kM7, Kd8
|15/8
|15/8, 256/135
|greater neutral seventh
|greater neutral 7th, unter diminished 8ve
|N7
|N7, ud8
|81/44
| 81/44, 1408/729
|-
|-
|21
|21
|1145.45
|1145.45
|major seventh / comma-narrow octave
|major 7th, comma-narrow 8ve, (classic diminished 8ve)
|M7 / k8
|M7, k8, (KKd8)
|243/128, 160/81
|243/128 , 160/81, (48/25)
|super major seventh / unter octave
|supermajor 7th, unter 8ve
|SM7/k8
|SM7, u8
|27/14, 64/33
|27/14, 64/33
|-
|-
|22
|22
|1200
|1200
|perfect octave
|perfect 8ve
|P8
|P8
|2/1
|2/1
|sub octave
|sub 8ve
|s8
|s8
|2/1, 63/32
|63/32
|}
|}


== WOFED interval names ==
==WOFED interval names ==
Well-ordered, functional, extended diatonic interval names.
Well-ordered, functional, extended diatonic interval names.