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