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

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! colspan=2 | Modes
! colspan=2 | Modes
|-
|-
| |1L 2s <sqrt(3/2)>
| rowspan=3 |1L 2s <sqrt(3/2)>
| | hemipythic tritonic
| rowspan=3 | hemipythic tritonic
| | Lumian  
| | Lumian  
| | Lss
| | Lss
|-
|-
| |
| |
| | Taliesin  
| | Taliesin  
| | sLs
| | sLs
|-
|-
| |
| |
| | Dresden  
| | Dresden  
| | ssL
| | ssL
|-
|-
| |2L 1s <sqrt(128/81)>
| rowspan=3 |2L 1s <sqrt(128/81)>
| | atlantoid[3]
| rowspan=3 | atlantoid[3]
| | Hyperatlantic  
| | Hyperatlantic  
| | LLs
| | LLs
|-
|-
| |
| |
| | Atlantic  
| | Atlantic  
| | LsL
| | LsL
|-
|-
| |
| |
| | Hypoatlantic  
| | Hypoatlantic  
| | sLL  
| | sLL  
|-
|-
| |2L 2s <4/3>
| rowspan = 2 |2L 2s <4/3>
| | atlantoid[4], pacifoid[4]
| rowspan = 2 | atlantoid[4], pacifoid[4]
| | Atlantic  
| | Atlantic  
| | LsLs
| | LsLs
|-
|-
| |
| |
| | Pacific  
| | Pacific  
| | sLsL   
| | sLsL   
|-
|-
| |1L 3s <sqrt(27/16)>
| rowspan = 4 |1L 3s <sqrt(27/16)>
| | taliesoid[4], dresdoid[4]
| rowspan = 4| taliesoid[4], dresdoid[4]
| | Hypertaliesin  
| | Hypertaliesin  
| | Lsss
| | Lsss
|-
|-
| |
| |
| | Taliesin  
| | Taliesin  
| | sLss
| | sLss
|-
|-
| |
| |
| | Dresden  
| | Dresden  
| | ssLs
| | ssLs
|-
|-
| |
| |
| | Hypodresden
| | Hypodresden
| | sssL
| | sssL
|-
|-
| |2L 3s <sqrt(2)>
| rowspan=5 |2L 3s <sqrt(2)>
| | lime
| rowspan=5 | lime
| | Atlantic
| | Atlantic
| | LsLss
| | LsLss
|-
|-
| |
| |
| | Lumian  
| | Lumian  
| | LssLs
| | LssLs
|-
|-
| |
| |
| | Pacific  
| | Pacific  
| | sLsLs
| | sLsLs
|-
|-
| |
| |
| | Taliesin  
| | Taliesin  
| | sLssL
| | sLssL
|-
|-
| |
| |
| | Dresden  
| | Dresden  
| | ssLsL
| | ssLsL
|-
|-
| |2L 4s <3/2>  
| rowspan = 3 |2L 4s <3/2>  
| | taliesoid[6]
| rowspan = 3 | taliesoid[6]
| | Lumian (♮6)
| | Lumian
| | LssLss
| | LssLss
|-
|-
| |
| |
| | Taliesin  
| | Taliesin  
| | sLssLs
| | sLssLs
|-
|-
| |
| | Dresden
| |
| | Dresden (♭5)
| | ssLssL
| | ssLssL
|-
|-
| |3L 4s <sqrt(8/3)>  
| rowspan = 7 |3L 4s <sqrt(8/3)>  
| | hemipythic heptatonic
| rowspan = 7 | hemipythic heptatonic
| | Hyperatlantic
| | Hyperatlantic
| | LsLsLss  
| | LsLsLss  
|-
|-
| |
| |
| | Atlantic
| | Atlantic
| | LsLssLs
| | LsLssLs
|-
|-
| |
| |
| | Lumian
| | Lumian
| | LssLsLs
| | LssLsLs
|-
|-
| |
| |
| | Baltic
| | Baltic
| | sLsLsLs
| | sLsLsLs
|-
|-
| |
| |
| | Pacific
| | Pacific
| | sLsLssL
| | sLsLssL
|-
|-
| |
| |
| | Taliesin
| | Taliesin
| | sLssLsL
| | sLssLsL
|-
|-
| |
| |
| | Hypotaliesin
| | Hypotaliesin
| | ssLsLsL
| | ssLsLsL
|-
|-
| |3L 5s <sqrt(3)>  
| rowspan = 8 |3L 5s <sqrt(3)>  
| | hemipythic octatonic
| rowspan = 8 | hemipythic octatonic
| | Hyperlumian
| | Hyperlumian
| | LsLssLss
| | LsLssLss
|-
|-
| |
| |
| | Lumian
| | Lumian
| | LssLsLss
| | LssLsLss
|-
|-
| |
| |
| | Hypolumian
| | Hypolumian
| | LssLssLs
| | LssLssLs
|-
|-
| |
| |
| | Pacific
| | Pacific
| | sLsLssLs
| | sLsLssLs
|-
|-
| |
| |
| | Taliesin
| | Taliesin
| | sLssLsLs
| | sLssLsLs
|-
|-
| |
| |
| | Hyperdresden
| | Hyperdresden
| | sLssLssL
| | sLssLssL
|-
|-
| |
| |
| | Dresden
| | Dresden
| | ssLsLssL
| | ssLsLssL
|-
|-
| |
| |
| | Hypodresden
| | Hypodresden
| | ssLssLsL
| | ssLssLsL
|-
|-
| |4L 5s <sqrt(32/9)>
| rowspan = 9 |4L 5s <sqrt(32/9)>
| | atlantoid[9], pacifoid[9]
| rowspan = 9 | atlantoid[9], pacifoid[9]
| | 2-Hyperatlantic
| | 2-Hyperatlantic
| | LsLsLsLss
| | LsLsLsLss
|-
|-
| |
| |
| | Hyperatlantic
| | Hyperatlantic
| | LsLsLssLs
| | LsLsLssLs
|-
|-
| |
| |
| | Atlantic
| | Atlantic
| | LsLssLsLs
| | LsLssLsLs
|-
|-
| |
| |
| | Hypoatlantic
| | Hypoatlantic
| | LssLsLsLs
| | LssLsLsLs
|-
|-
| |
| |
| | Baltic
| | Baltic
| | sLsLsLsLs
| | sLsLsLsLs
|-
|-
| |
| |
| | Hyperpacific
| | Hyperpacific
| | sLsLsLssL
| | sLsLsLssL
|-
|-
| |
| |
| | Pacific
| | Pacific
| | sLsLssLsL
| | sLsLssLsL
|-
|-
| |
| |
| | Hypopacific
| | Hypopacific
| | sLssLsLsL
| | sLssLsLsL
|-
|-
| |
| |
| | 2-Hypopacific
| | 2-Hypopacific
| | ssLsLsLsL
| | ssLsLsLsL
|-
|-
| |4L 6s <2/1>  
| rowspan = 5 |4L 6s <2/1>  
| | lime
| rowspan = 5 | lime
| | Atlantic
| | Atlantic
| | LsLssLsLss
| | LsLssLsLss
|-
|-
| |
| |
| | Lumian  
| | Lumian  
| | LssLsLssLs
| | LssLsLssLs
|-
|-
| |
| |
| | Pacific  
| | Pacific  
| | sLsLssLsLs
| | sLsLssLsLs
|-
|-
| |
| |
| | Taliesin  
| | Taliesin  
| | sLssLsLssL
| | sLssLsLssL
|-
|-
| |
| |
| | Dresden  
| | Dresden  
| | ssLsLssLsL
| | ssLsLssLsL
|}
|}

Revision as of 11:11, 5 May 2025

Hemipyth[10]

Note all equaves are approximate.

Scale Name(s) Modes
1L 2s <sqrt(3/2)> hemipythic tritonic Lumian Lss
Taliesin sLs
Dresden ssL
2L 1s <sqrt(128/81)> atlantoid[3] Hyperatlantic LLs
Atlantic LsL
Hypoatlantic sLL
2L 2s <4/3> atlantoid[4], pacifoid[4] Atlantic LsLs
Pacific sLsL
1L 3s <sqrt(27/16)> taliesoid[4], dresdoid[4] Hypertaliesin Lsss
Taliesin sLss
Dresden ssLs
Hypodresden sssL
2L 3s <sqrt(2)> lime Atlantic LsLss
Lumian LssLs
Pacific sLsLs
Taliesin sLssL
Dresden ssLsL
2L 4s <3/2> taliesoid[6] Lumian LssLss
Taliesin sLssLs
Dresden ssLssL
3L 4s <sqrt(8/3)> hemipythic heptatonic Hyperatlantic LsLsLss
Atlantic LsLssLs
Lumian LssLsLs
Baltic sLsLsLs
Pacific sLsLssL
Taliesin sLssLsL
Hypotaliesin ssLsLsL
3L 5s <sqrt(3)> hemipythic octatonic Hyperlumian LsLssLss
Lumian LssLsLss
Hypolumian LssLssLs
Pacific sLsLssLs
Taliesin sLssLsLs
Hyperdresden sLssLssL
Dresden ssLsLssL
Hypodresden ssLssLsL
4L 5s <sqrt(32/9)> atlantoid[9], pacifoid[9] 2-Hyperatlantic LsLsLsLss
Hyperatlantic LsLsLssLs
Atlantic LsLssLsLs
Hypoatlantic LssLsLsLs
Baltic sLsLsLsLs
Hyperpacific sLsLsLssL
Pacific sLsLssLsL
Hypopacific sLssLsLsL
2-Hypopacific ssLsLsLsL
4L 6s <2/1> lime Atlantic LsLssLsLss
Lumian LssLsLssLs
Pacific sLsLssLsLs
Taliesin sLssLsLssL
Dresden ssLsLssLsL
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