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

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! | Scale
! | Scale
! | Name(s)
! | Name(s)
! | Origin
! | Modes (brightest to darkest)
|-
|-
| |1L 2s <sqrt(3/2)>
| |1L 2s <sqrt(3/2)>
| | lumoid[3], pacifoid[3], taliesoid[3], dresdoid[3]
| | lumianoid[3], pacifoid[3], taliesoid[3], dresdoid[3]
| | Lumian, Pacific/Taliesin, Dresden
|-
|-
| |2L 1s <sqrt(128/81)>
| |2L 1s <sqrt(128/81)>
| | atlantoid[3]
| | atlantoid[3]
| | Hyperatlantic, Atlantic, Hypoatlantic
|-
|-
| |2L 2s <4/3>
| |2L 2s <4/3>
| | atlantoid[4], pacifoid[4]
| | atlantoid[4], pacifoid[4]
| | Atlantic, Pacific
|-
|-
| |1L 3s <sqrt(27/16)>
| |1L 3s <sqrt(27/16)>
| | taliesoid[4], dresdoid[4]
| | taliesoid[4], dresdoid[4]
| | Hypertaliesin, Taliesin, Dresden, Hypodresden
|-
|-
| |2L 3s <sqrt(2)>
| |2L 3s <sqrt(2)>
| | lime
| | lime
| | Atlantic, Lumian, Pacific, Taliesin, Dresden
|-
|-
| |2L 4s <3/2>  
| |2L 4s <3/2>  
| | taliesoid[6]
| | taliesoid[6]
| | Hypertaliesin, Taliesin, Hypotaliesin
|-
|-
| |3L 3s <sqrt(64/27)>  
| |3L 3s <sqrt(64/27)>  
| | sextal triwoodoid
| | sextal triwoodoid
| | Atlantic, Pacific
|-
|-
| |3L 4s <sqrt(8/3)>  
| |3L 4s <sqrt(8/3)>  
| | atlantoid[7], taliesoid[7], pacifoid[7], taliesoid[7]
| | atlantoid[7], taliesoid[7], pacifoid[7], taliesoid[7]
|-
| | Hyperatlantic, Atlantic, Lumian, Baltic, Pacific, Taliesin, Hypotaliesin
| |3L 4s <sqrt(81/32)>  
| |2L 5s <sqrt(64/27)>
| | septal maviloid
| | septal maviloid
| | Antilocrian, Antiphrygian, Antiaeolian, Antidorian, Antimixolydian, Antiionian, Antilydian
|-
|-
| |3L 5s <sqrt(3)>  
| |3L 5s <sqrt(3)>  
| | lumoid[8], pacifoid[8], taliesoid[8], dresdoid[8]
| | lumoid[8], pacifoid[8], taliesoid[8], dresdoid[8]
| | Hyperlumian, Lumian, Hypolumian, Pacific, Taliesin, Hyperdresden, Dresden, Hypodresden
|-
|-
| |4L 4s <sqrt(256/81)>  
| |4L 4s <sqrt(256/81)>  
| | octal tetrawoodoid
| | octal tetrawoodoid
| | Atlantic, Pacific
|-
|-
| |4L 5s <sqrt(32/9)>
| |4L 5s <sqrt(32/9)>
| | atlantoid[9]
| | atlantoid[9], pacifoid[9]
| | ???
|-
|-
| |3L 6s <sqrt(27/8)>  
| |3L 6s <sqrt(27/8)>  
| | nonal tcherepnoid
| | nonal tcherepnoid
| | Lumian, Pacific, Dresden
|-
|-
| |4L 6s <2/1>  
| |4L 6s <2/1>  
| | lime
| | lime
| | Atlantic, Lumian, Pacific, Taliesin, Dresden
|}
|}

Revision as of 00:19, 5 May 2025

Hemipyth[10]

Note all equaves are approximate.

Scale Name(s) Modes (brightest to darkest)
1L 2s <sqrt(3/2)> lumianoid[3], pacifoid[3], taliesoid[3], dresdoid[3] Lumian, Pacific/Taliesin, Dresden
2L 1s <sqrt(128/81)> atlantoid[3] Hyperatlantic, Atlantic, Hypoatlantic
2L 2s <4/3> atlantoid[4], pacifoid[4] Atlantic, Pacific
1L 3s <sqrt(27/16)> taliesoid[4], dresdoid[4] Hypertaliesin, Taliesin, Dresden, Hypodresden
2L 3s <sqrt(2)> lime Atlantic, Lumian, Pacific, Taliesin, Dresden
2L 4s <3/2> taliesoid[6] Hypertaliesin, Taliesin, Hypotaliesin
3L 3s <sqrt(64/27)> sextal triwoodoid Atlantic, Pacific
3L 4s <sqrt(8/3)> atlantoid[7], taliesoid[7], pacifoid[7], taliesoid[7] Hyperatlantic, Atlantic, Lumian, Baltic, Pacific, Taliesin, Hypotaliesin 2L 5s <sqrt(64/27)> septal maviloid Antilocrian, Antiphrygian, Antiaeolian, Antidorian, Antimixolydian, Antiionian, Antilydian
3L 5s <sqrt(3)> lumoid[8], pacifoid[8], taliesoid[8], dresdoid[8] Hyperlumian, Lumian, Hypolumian, Pacific, Taliesin, Hyperdresden, Dresden, Hypodresden
4L 4s <sqrt(256/81)> octal tetrawoodoid Atlantic, Pacific
4L 5s <sqrt(32/9)> atlantoid[9], pacifoid[9] ???
3L 6s <sqrt(27/8)> nonal tcherepnoid Lumian, Pacific, Dresden
4L 6s <2/1> lime Atlantic, Lumian, Pacific, Taliesin, Dresden
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