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| ''Note all equaves are approximate.'' | | ''Note all equaves are approximate.'' |
| == Hemipyth[10] (4L 6s)== | | |
| | == Yasser's infradiatonic (basic 2L 3s) == |
| {| class="wikitable" | | {| class="wikitable" |
| |- | | |- |
| Line 7: |
Line 8: |
| ! colspan=2 | Modes | | ! colspan=2 | Modes |
| |- | | |- |
| | rowspan=3 |1L 2s <sqrt(3/2)> | | | rowspan=2 |1L 1s <4/3> |
| | rowspan=3 | hemipythic tritonic | | | rowspan=2 | dichordal |
| | | Lumian | | | | Phrygian-Aeolian |
| | | | Ls |
| | |- |
| | | | Dorian-Mixolydian |
| | | | sL |
| | |- |
| | | rowspan=3 |1L 2s <3/2> |
| | | rowspan=3 | trichordal |
| | | | Aeolian |
| | | Lss | | | | Lss |
| |- | | |- |
| | | Taliesin | | | | Dorian-Mixolydian |
| | | sLs | | | | sLs |
| |- | | |- |
| | | Dresden | | | | Ionian |
| | | ssL | | | | ssL |
| |- | | |- |
| | rowspan=3 |2L 1s <sqrt(128/81)> | | | rowspan=3 |2L 1s <128/81> |
| | rowspan=3 | atlantoid | | | rowspan=3 | antitrichordal |
| | | Hyperatlantic | | | | Hyperphrygian |
| | | LLs | | | | LLs |
| |- | | |- |
| | | Atlantic | | | | Phrygian |
| | | LsL | | | | LsL |
| |- | | |- |
| | | Hypoatlantic | | | | Hypophrygian |
| | | sLL | | | | sLL |
| |- | | |- |
| | rowspan = 2 |2L 2s <4/3>
| | | rowspan=4 |1L 3s <27/16> |
| | rowspan = 2 | microdiwood
| | | rowspan=4 | minor infraquartal |
| | | Atlantic
| | | | Hypermixolydian |
| | | LsLs
| |
| |-
| |
| | | Pacific
| |
| | | sLsL
| |
| |-
| |
| | rowspan = 4 |1L 3s <sqrt(27/16)> | |
| | rowspan = 4| dresdoid | |
| | | Hypertaliesin | |
| | | Lsss | | | | Lsss |
| |- | | |- |
| | | Taliesin | | | | Mixolydian |
| | | sLss | | | | sLss |
| |- | | |- |
| | | Dresden | | | | Ionian |
| | | ssLs | | | | ssLs |
| |- | | |- |
| | | Hypodresden | | | | Hypoionian |
| | | sssL | | | | sssL |
| |- | | |- |
| | rowspan=5 |2L 3s <sqrt(2)> | | | rowspan=2 |2L 2s <16/9> |
| | rowspan=5 | micropentic | | | rowspan=2 | major infraquartal |
| | | Atlantic | | | | Phrygian |
| | | | LsLs |
| | |- |
| | | | Dorian |
| | | | sLsL |
| | |- |
| | | rowspan=5 |2L 3s <2/1> |
| | | rowspan=5 | pentic |
| | | | Phrygian |
| | | LsLss | | | | LsLss |
| |- | | |- |
| | | Lumian | | | | Aeolian |
| | | LssLs | | | | LssLs |
| |- | | |- |
| | | Pacific | | | | Dorian |
| | | sLsLs | | | | sLsLs |
| |- | | |- |
| | | Taliesin | | | | Mixolydian |
| | | sLssL | | | | sLssL |
| |- | | |- |
| | | Dresden | | | | Ionian |
| | | ssLsL | | | | ssLsL |
| |- | | |- |
| | rowspan = 3 |2L 4s <3/2> | | | rowspan = 3 |2L 4s <9/4> |
| | rowspan = 3 | taliesoid | | | rowspan = 3 |minor infrasextal |
| | | Lumian ♮6 | | | | Aeolian |
| | | LssLss | | | | LssLss |
| |- | | |- |
| | | Taliesin | | | | Mixolydian |
| | | sLssLs | | | | sLssLs |
| |- | | |- |
| | | Dresden (♭5) | | | | Ionian |
| | | ssLssL | | | | ssLssL |
| |- | | |- |
| | rowspan = 7 |3L 4s <sqrt(8/3)> | | | rowspan = 2 |2L 4s <64/27> |
| | rowspan = 7 | hemipythic heptatonic | | | rowspan = 2 |major infrasextal |
| | | Hyperatlantic | | | | Phrygian ♯5 |
| | | LsLsLss | | | | LsLsLs |
| | |- |
| | | | Dorian |
| | | | sLsLsL |
| | |- |
| | | rowspan = 7 |2L 5s <81/32> |
| | | rowspan = 7 |diminished infraseptal |
| | | | Aeolian |
| | | | LssLsss |
| | |- |
| | | | Hypoaeolian/Hypermixolydian |
| | | | LsssLss |
| | |- |
| | | | Mixolydian |
| | | | sLssLss |
| | |- |
| | | | Hypomixolydian-I |
| | | | sLsssLs |
| | |- |
| | | | Hypomixolydian-II |
| | | | ssLssLs |
| | |- |
| | | | Hypomixolydian-III |
| | | | ssLsssL |
| | |- |
| | | | Hypomixolydian-IV |
| | | | sssLssL |
| | |- |
| | | rowspan = 7 |3L 4s <8/3> |
| | | rowspan = 7 |perfect infraseptal |
| | | | Hyperphrygian |
| | | | LsLsLss |
| |- | | |- |
| | | Atlantic | | | | Phrygian |
| | | LsLssLs | | | | LsLssLs |
| |- | | |- |
| | | Lumian | | | | Aeolian |
| | | LssLsLs | | | | LssLsLs |
| |- | | |- |
| | | Antipodal | | | | Dorian-Aeolian |
| | | sLsLsLs | | | | sLsLsLs |
| |- | | |- |
| | | Pacific | | | | Dorian |
| | | sLsLssL | | | | sLsLssL |
| |- | | |- |
| | | Taliesin | | | | Mixolydian |
| | | sLssLsL | | | | sLssLsL |
| |- | | |- |
| | | Dresden (♮7) | | | | Ionian |
| | | ssLsLsL | | | | ssLsLsL |
| |- | | |- |
| | rowspan = 8 |3L 5s <sqrt(3)> | | | rowspan = 8 |3L 5s <3/1> |
| | rowspan = 8 | eulergammoid | | | rowspan = 8 |perfect infra-octal |
| | | Atlantic (♮8) | | | | Phrygian |
| | | LsLssLss | | | | LsLssLss |
| |- | | |- |
| | | Lumian | | | | Aeolian |
| | | LssLsLss | | | | LssLsLss |
| |- | | |- |
| | | Lumian-Pacific | | | | Aeolian-Dorian |
| | | LssLssLs | | | | LssLssLs |
| |- | | |- |
| | | Pacific | | | | Dorian |
| | | sLsLssLs | | | | sLsLssLs |
| |- | | |- |
| | | Taliesin | | | | Mixolydian |
| | | sLssLsLs | | | | sLssLsLs |
| |- | | |- |
| | | Taliesin-Dresden | | | | Mixolydian-Ionian |
| | | sLssLssL | | | | sLssLssL |
| |- | | |- |
| | | Dresden | | | | Ionian |
| | | ssLsLssL | | | | ssLsLssL |
| |- | | |- |
| | | Subdresden | | | | Hypoionian |
| | | ssLssLsL | | | | ssLssLsL |
| |- | | |- |
| | rowspan = 9 |4L 5s <sqrt(32/9)> | | | rowspan = 2 |4L 4s <256/81> |
| | rowspan = 9 | pacifoid | | | rowspan = 2 |augmented infra-octal |
| | | Atlantic ♯5 ♯7 | | | | Phrygian ♯5 |
| | | | LsLsLsLs |
| | |- |
| | | | Dorian |
| | | | sLsLsLsL |
| | |- |
| | | rowspan = 3 |3L 6s <27/8> |
| | | rowspan = 3 |minor infranonal |
| | | | Aeolian-Mixolydian |
| | | | LssLssLss |
| | |- |
| | | | Mixolydian |
| | | | sLssLssLs |
| | |- |
| | | | Hypoionian |
| | | | ssLssLssL |
| | |- |
| | | rowspan = 9 |4L 5s <32/9> |
| | | rowspan = 9 | major infranonal |
| | | | Phrygian ♯5 ♯7 |
| | | LsLsLsLss | | | | LsLsLsLss |
| |- | | |- |
| | | Atlantic ♯5 | | | | Phrygian ♯5 |
| | | LsLsLssLs | | | | LsLsLssLs |
| |- | | |- |
| | | Atlantic | | | | Phrygian |
| | | LsLssLsLs | | | | LsLssLsLs |
| |- | | |- |
| | | Lumian-Atlantic | | | | Aeolian-Phrygian |
| | | LssLsLsLs | | | | LssLsLsLs |
| |- | | |- |
| | | Antipodal | | | | Symmetric Macrodorian |
| | | sLsLsLsLs | | | | sLsLsLsLs |
| |- | | |- |
| | | Pacific-Lumian | | | | Dorian-Aeolian |
| | | sLsLsLssL | | | | sLsLsLssL |
| |- | | |- |
| | | Pacific | | | | Dorian |
| | | sLsLssLsL | | | | sLsLssLsL |
| |- | | |- |
| | | Taliesin (♮9) | | | | Mixolydian |
| | | sLssLsLsL | | | | sLssLsLsL |
| |- | | |- |
| | | Dresden (♮7 ♮9) | | | | Ionian |
| | | ssLsLsLsL | | | | ssLsLsLsL |
| |- | | |- |
| | rowspan = 5 |4L 6s <2/1> | | | rowspan = 5 |4L 6s <4/1> |
| | rowspan = 5 | lime | | | rowspan = 5 | macrolime/infradecal |
| | | Atlantic | | | | Phrygian |
| | | LsLssLsLss | | | | LsLssLsLss |
| |- | | |- |
| | | Lumian | | | | Aeolian |
| | | LssLsLssLs | | | | LssLsLssLs |
| |- | | |- |
| | | Pacific | | | | Dorian |
| | | sLsLssLsLs | | | | sLsLssLsLs |
| |- | | |- |
| | | Taliesin | | | | Mixolydian |
| | | sLssLsLssL | | | | sLssLsLssL |
| |- | | |- |
| | | Dresden | | | | Ionian |
| | | ssLsLssLsL | | | | ssLsLssLsL |
| |-
| |
| | rowspan = 12 |5L 7s <sqrt(16/3)>
| |
| | rowspan = 12 | machromatic
| |
| | | Hyperatlantic
| |
| | | LsLsLssLsLss
| |
| |-
| |
| | | Atlantic-Hyperatlantic
| |
| | | LsLssLsLsLss
| |
| |-
| |
| | | Atlantic
| |
| | | LsLssLsLssLs
| |
| |-
| |
| | | Lumian-Atlantic
| |
| | | LssLsLsLssLs
| |
| |-
| |
| | | Lumian
| |
| | | LssLsLssLsLs
| |
| |-
| |
| | | Pacific-Lumian
| |
| | | sLsLsLssLsLs
| |
| |-
| |
| | | East Pacific
| |
| | | sLsLssLsLsLs
| |
| |-
| |
| | | West Pacific
| |
| | | sLsLssLsLssL
| |
| |-
| |
| | | Taliesin-Pacific
| |
| | | sLssLsLsLssL
| |
| |-
| |
| | | Taliesin
| |
| | | sLssLsLssLsL
| |
| |-
| |
| | | Dresden-Taliesin
| |
| | | ssLsLsLssLsL
| |
| |-
| |
| | | Dresden
| |
| | | ssLsLssLsLsL
| |
| |-
| |
| | rowspan = 13 |5L 8s <sqrt(6/1)>
| |
| | rowspan = 13 | machroneiro
| |
| | | Atlantic (♮13)
| |
| | | LsLssLsLssLss
| |
| |-
| |
| | | Atlantic-Lumian
| |
| | | LsLssLssLsLss
| |
| |-
| |
| | | East Lumian
| |
| | | LssLsLssLsLss
| |
| |-
| |
| | | West Lumian
| |
| | | LssLsLssLssLs
| |
| |-
| |
| | | Lumian-Pacific
| |
| | | LssLssLsLssLs
| |
| |-
| |
| | | Pacific
| |
| | | sLsLssLsLssLs
| |
| |-
| |
| | | Pacific-Taliesin
| |
| | | sLsLssLssLsLs
| |
| |-
| |
| | | East Taliesin
| |
| | | sLssLsLssLsLs
| |
| |-
| |
| | | West Taliesin
| |
| | | sLssLsLssLssL
| |
| |-
| |
| | | Taliesin-Dresden
| |
| | | sLssLssLsLssL
| |
| |-
| |
| | | Dresden
| |
| | | ssLsLssLsLssL
| |
| |-
| |
| | | East Subdresden
| |
| | | ssLsLssLssLsL
| |
| |-
| |
| | | West Subdresden
| |
| | | ssLssLsLssLsL
| |
| |-
| |
| | rowspan=5 |6L 9s <sqrt(8)>
| |
| | rowspan=5 | lime
| |
| | | Atlantic
| |
| | | LsLssLsLssLsLss
| |
| |-
| |
| | | Lumian
| |
| | | LssLsLssLsLssLs
| |
| |-
| |
| | | Pacific
| |
| | | sLsLssLsLssLsLs
| |
| |-
| |
| | | Taliesin
| |
| | | sLssLsLssLsLssL
| |
| |-
| |
| | | Dresden
| |
| | | ssLsLssLsLssLsL
| |
| |-
| |
| | rowspan = 17 |7L 10s <sqrt(32/3)>
| |
| | rowspan = 17 | machrodicoid
| |
| | | Hyperatlantic
| |
| | | LsLsLssLsLssLsLss
| |
| |-
| |
| | | Atlantic-Hyperatlantic
| |
| | | LsLssLsLsLssLsLss
| |
| |-
| |
| | | East Atlantic
| |
| | | LsLssLsLssLsLsLss
| |
| |-
| |
| | | West Atlantic
| |
| | | LsLssLsLssLsLssLs
| |
| |-
| |
| | | Lumian-Atlantic
| |
| | | LssLsLsLssLsLssLs
| |
| |-
| |
| | | East Lumian
| |
| | | LssLsLssLsLsLssLs
| |
| |-
| |
| | | West Lumian
| |
| | | LssLsLssLsLssLsLs
| |
| |-
| |
| | | Pacific-Lumian
| |
| | | sLsLsLssLsLssLsLs
| |
| |-
| |
| | | East Pacific
| |
| | | sLsLssLsLsLssLsLs
| |
| |-
| |
| | | Central Pacific
| |
| | | sLsLssLsLssLsLsLs
| |
| |-
| |
| | | West Pacific
| |
| | | sLsLssLsLssLsLssL
| |
| |-
| |
| | | Taliesin-Pacific
| |
| | | sLssLsLsLssLsLssL
| |
| |-
| |
| | | East Taliesin
| |
| | | sLssLsLssLsLsLssL
| |
| |-
| |
| | | West Taliesin
| |
| | | sLssLsLssLsLssLsL
| |
| |-
| |
| | | Dresden-Taliesin
| |
| | | ssLsLsLssLsLssLsL
| |
| |-
| |
| | | East Dresden
| |
| | | ssLsLssLsLsLssLsL
| |
| |-
| |
| | | West Dresden
| |
| | | ssLsLssLsLssLsLsL
| |
| |-
| |
| | rowspan = 18 |7L 11s <sqrt(12/1)>
| |
| | rowspan = 18 | pochhammeroid
| |
| | | Atlantic-QFind
| |
| | | LsLssLsLssLsLssLss
| |
| |-
| |
| | | Atlantic-Planet
| |
| | | LsLssLsLssLssLsLss
| |
| |-
| |
| | | Atlantic-Lumian
| |
| | | LsLssLssLsLssLsLss
| |
| |-
| |
| | | Lumian-Q-Series
| |
| | | LssLsLssLsLssLsLss
| |
| |-
| |
| | | Lumian-Moosey
| |
| | | LssLsLssLsLssLssLs
| |
| |-
| |
| | | Lumian-Drone
| |
| | | LssLsLssLssLsLssLs
| |
| |-
| |
| | | Lumian-Pacific
| |
| | | LssLssLsLssLsLssLs
| |
| |-
| |
| | | Pacific-Hemipyth
| |
| | | sLsLssLsLssLsLssLs
| |
| |-
| |
| | | Pacific-NimbleRogue
| |
| | | sLsLssLsLssLssLsLs
| |
| |-
| |
| | | Pacific-Taliesin
| |
| | | sLsLssLssLsLssLsLs
| |
| |-
| |
| | | Taliesin-Riemannic
| |
| | | sLssLsLssLsLssLsLs
| |
| |-
| |
| | | Taliesin-Wwei
| |
| | | sLssLsLssLsLssLssL
| |
| |-
| |
| | | Taliesin-LaundryPizza
| |
| | | sLssLsLssLssLsLssL
| |
| |-
| |
| | | Taliesin-Dresden
| |
| | | sLssLssLsLssLsLssL
| |
| |-
| |
| | | Dresden-Heav
| |
| | | ssLsLssLsLssLsLssL
| |
| |-
| |
| | | Subdresden-Nimrgod
| |
| | | ssLsLssLsLssLssLsL
| |
| |-
| |
| | | Subdresden-Boris
| |
| | | ssLsLssLssLsLssLsL
| |
| |-
| |
| | | Subdresden-Pergele
| |
| | | ssLssLsLssLsLssLsL
| |
| |-
| |
| | rowspan=5 |8L 12s <4/1>
| |
| | rowspan=5 | lime
| |
| | | Atlantic
| |
| | | LsLssLsLssLsLssLsLss
| |
| |-
| |
| | | Lumian
| |
| | | LssLsLssLsLssLsLssLs
| |
| |-
| |
| | | Pacific
| |
| | | sLsLssLsLssLsLssLsLs
| |
| |-
| |
| | | Taliesin
| |
| | | sLssLsLssLsLssLsLssL
| |
| |-
| |
| | | Dresden
| |
| | | ssLsLssLsLssLsLssLsL
| |
| |}
| |
|
| |
| == Yasser's infradiatonic (basic 2L 3s) ==
| |
| {| class="wikitable"
| |
| |-
| |
| ! | Scale
| |
| ! | Name(s)
| |
| ! colspan=2 | Modes
| |
| |-
| |
| | rowspan=2 |1L 1s <4/3>
| |
| | rowspan=2 | dichordal
| |
| | | Phrygian-Aeolian
| |
| | | Ls
| |
| |-
| |
| | | Dorian-Mixolydian
| |
| | | sL
| |
| |-
| |
| | rowspan=3 |1L 2s <3/2>
| |
| | rowspan=3 | trichordal
| |
| | | Aeolian
| |
| | | Lss
| |
| |-
| |
| | | Dorian-Mixolydian
| |
| | | sLs
| |
| |-
| |
| | | Ionian
| |
| | | ssL
| |
| |-
| |
| | rowspan=3 |2L 1s <128/81>
| |
| | rowspan=3 | antitrichordal
| |
| | | Hyperphrygian
| |
| | | LLs
| |
| |-
| |
| | | Phrygian
| |
| | | LsL
| |
| |-
| |
| | | Hypophrygian
| |
| | | sLL
| |
| |-
| |
| | rowspan=4 |2L 2s <27/16>
| |
| | rowspan=4 | minor infraquartal
| |
| | | Hypermixolydian
| |
| | | Lsss
| |
| |-
| |
| | | Mixolydian
| |
| | | sLss
| |
| |-
| |
| | | Ionian
| |
| | | ssLs
| |
| |-
| |
| | | Hypoionian
| |
| | | sssL
| |
| |-
| |
| | rowspan=2 |2L 2s <16/9>
| |
| | rowspan=2 | major infraquartal
| |
| | | Phrygian
| |
| | | LsLs
| |
| |-
| |
| | | Dorian
| |
| | | sLsL
| |
| |-
| |
| | rowspan=5 |2L 3s <2/1>
| |
| | rowspan=5 | pentic
| |
| | | Phrygian
| |
| | | LsLss
| |
| |-
| |
| | | Aeolian
| |
| | | LssLs
| |
| |-
| |
| | | Dorian
| |
| | | sLsLs
| |
| |-
| |
| | | Mixolydian
| |
| | | sLssL
| |
| |-
| |
| | | Ionian
| |
| | | ssLsL
| |
| |-
| |
| | rowspan = 3 |2L 4s <9/4>
| |
| | rowspan = 3 |minor infrasextal
| |
| | | Aeolian
| |
| | | LssLss
| |
| |-
| |
| | | Mixolydian
| |
| | | sLssLs
| |
| |-
| |
| | | Ionian
| |
| | | ssLssL
| |
| |-
| |
| | rowspan = 3 |2L 4s <64/27>
| |
| | rowspan = 3 |major infrasextal
| |
| | | Aeolian ♯5
| |
| | | LsLsLs
| |
| |-
| |
| | | Dorian
| |
| | | sLsLsL
| |
| |-
| |
| |} | | |} |