User:2^67-1/MMTM-esque extensions of some scales: Difference between revisions

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== Hemipyth[10] ==
''Note all equaves are approximate.''
''Note all equaves are approximate.''
== 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[3]
| rowspan=3 | antitrichordal
| | Hyperatlantic
| | Hyperphrygian
| | LLs
| | LLs
|-
|-
| | Atlantic
| | Phrygian
| | LsL
| | LsL
|-
|-
| | Hypoatlantic
| | Hypophrygian
| | sLL  
| | sLL
|-
| rowspan = 2 |2L 2s <4/3>
| rowspan = 2 | atlantoid[4], pacifoid[4]
| | Atlantic
| | LsLs
|-
| | Pacific
| | sLsL 
|-
|-
| rowspan = 4 |1L 3s <sqrt(27/16)>
| rowspan=4 |1L 3s <27/16>
| rowspan = 4| taliesoid[4], dresdoid[4]
| rowspan=4 | minor infraquartal
| | Hypertaliesin
| | Hypermixolydian
| | 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 | lime
| 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[6]
| 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
| | Atlantic ♯5
| | 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
|-
|-
| | Atlantic
| rowspan = 7 |3L 4s <8/3>
| rowspan = 7 |perfect infraseptal
| | Hyperphrygian
| | LsLsLss
|-
| | 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 | hemipythic octatonic
| 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 | atlantoid[9], pacifoid[9]
| 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(16/3)>
| 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
|}
|}

Latest revision as of 05:13, 12 March 2026

Note all equaves are approximate.

Yasser's infradiatonic (basic 2L 3s)

Scale Name(s) Modes
1L 1s <4/3> dichordal Phrygian-Aeolian Ls
Dorian-Mixolydian sL
1L 2s <3/2> trichordal Aeolian Lss
Dorian-Mixolydian sLs
Ionian ssL
2L 1s <128/81> antitrichordal Hyperphrygian LLs
Phrygian LsL
Hypophrygian sLL
1L 3s <27/16> minor infraquartal Hypermixolydian Lsss
Mixolydian sLss
Ionian ssLs
Hypoionian sssL
2L 2s <16/9> major infraquartal Phrygian LsLs
Dorian sLsL
2L 3s <2/1> pentic Phrygian LsLss
Aeolian LssLs
Dorian sLsLs
Mixolydian sLssL
Ionian ssLsL
2L 4s <9/4> minor infrasextal Aeolian LssLss
Mixolydian sLssLs
Ionian ssLssL
2L 4s <64/27> major infrasextal Phrygian ♯5 LsLsLs
Dorian sLsLsL
2L 5s <81/32> diminished infraseptal Aeolian LssLsss
Hypoaeolian/Hypermixolydian LsssLss
Mixolydian sLssLss
Hypomixolydian-I sLsssLs
Hypomixolydian-II ssLssLs
Hypomixolydian-III ssLsssL
Hypomixolydian-IV sssLssL
3L 4s <8/3> perfect infraseptal Hyperphrygian LsLsLss
Phrygian LsLssLs
Aeolian LssLsLs
Dorian-Aeolian sLsLsLs
Dorian sLsLssL
Mixolydian sLssLsL
Ionian ssLsLsL
3L 5s <3/1> perfect infra-octal Phrygian LsLssLss
Aeolian LssLsLss
Aeolian-Dorian LssLssLs
Dorian sLsLssLs
Mixolydian sLssLsLs
Mixolydian-Ionian sLssLssL
Ionian ssLsLssL
Hypoionian ssLssLsL
4L 4s <256/81> augmented infra-octal Phrygian ♯5 LsLsLsLs
Dorian sLsLsLsL
3L 6s <27/8> minor infranonal Aeolian-Mixolydian LssLssLss
Mixolydian sLssLssLs
Hypoionian ssLssLssL
4L 5s <32/9> major infranonal Phrygian ♯5 ♯7 LsLsLsLss
Phrygian ♯5 LsLsLssLs
Phrygian LsLssLsLs
Aeolian-Phrygian LssLsLsLs
Symmetric Macrodorian sLsLsLsLs
Dorian-Aeolian sLsLsLssL
Dorian sLsLssLsL
Mixolydian sLssLsLsL
Ionian ssLsLsLsL
4L 6s <4/1> macrolime/infradecal Phrygian LsLssLsLss
Aeolian LssLsLssLs
Dorian sLsLssLsLs
Mixolydian sLssLsLssL
Ionian ssLsLssLsL
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