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User:Contribution/Exploring Selected Modes in 12-EDO: Difference between revisions

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2,880 edits
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{| class="wikitable center-all mw-collapsible mw-collapsed"
=== Modes based on the circle of 3-odd-limit ===
|+style=white-space:nowrap| Modes of limited transposition
 
{| class="wikitable"
|+
Circle of fourths and fifths with altered notes
!Alteration
!Modes
!Distinctly tempered commas
|-
|Penta MOS
|2 2 3 2 3
|81/80
|-
|Penta dom
|3 3 2 2 2
|None
|-
|Penta app
|2 2 2 4 2
|None
|-
|Ion MOS
|2 2 1 2 2 2 1
|81/80
|-
|Ion b3
|2 1 2 2 2 2 1
|81/80, 648/625
|-
|Ion b6
|2 2 1 2 1 3 1
|81/80, 128/125, 648/625
|-
|Ion b3 b6
|2 1 2 2 1 3 1
|81/80, 128/125, 648/625
|-
|Ion b2
|1 3 1 2 2 2 1
|128/125
|-
|Ion b2 b3
|1 2 2 2 2 2 1
|None
|-
|Ion b2 b6
|1 3 1 2 1 3 1
|128/125
|-
|Ion b2 b3 b6
|1 2 2 2 1 3 1
|128/125
|-
|Schisma
|2 2 1 1 1 2 1 1 1
|81/80, 128/125, 648/625, 2048/2025, 6561/6250, 32805/32768
|}
 
=== Blues scales ===
 
{| class="wikitable"
|+
Penta MOS with added notes
!Added notes
!Modes
! Distinctly tempered commas
|-
|None
|2 2 3 2 3
|81/80
|-
|b3
|2 1 1 3 2 3
| rowspan="2" |81/80
|-
|#1
|1 1 2 3 2 3
|-
|#5/b6
|2 2 3 1 1 3
|648/625, 2048/2025
|-
|#1 b3
|1 1 1 1 3 2 3
|81/80
|-
|b3 #5/b6
|2 1 1 3 1 1 3
| rowspan="2" |81/80, 648/625, 2048/2025
|-
|#1 #5/b6
|1 1 2 3 1 1 3
|-
|#1 b3 #5/b6
|1 1 1 1 3 1 1 3
|81/80, 648/625, 2048/2025
|}
 
= Mode notes =
 
{| class="wikitable center-all"
|+style=white-space:nowrap| Messiaen's scales
|+
|+
!1 1 1 1 1 1 1 1 1 1 1 1
!1 1 1 1 1 1 1 1 1 1 1 1
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|}
|}


=== Modes based on the circle of 3-odd-limit ===
{| class="wikitable center-all"
 
|+style=white-space:nowrap| Diatonic scales
{| class="wikitable"
|+
Circle of fourths and fifths with altered notes
!Alteration
!Modes
!Distinctly tempered commas
|-
|Penta MOS
|2 2 3 2 3
|81/80
|-
|Penta dom
|3 3 2 2 2
|None
|-
|Penta app
|2 2 2 4 2
|None
|-
|Ion MOS
|2 2 1 2 2 2 1
|81/80
|-
|Ion b3
|2 1 2 2 2 2 1
|81/80, 648/625
|-
|Ion b6
|2 2 1 2 1 3 1
|81/80, 128/125, 648/625
|-
|Ion b3 b6
|2 1 2 2 1 3 1
|81/80, 128/125, 648/625
|-
|Ion b2
|1 3 1 2 2 2 1
|128/125
|-
|Ion b2 b3
|1 2 2 2 2 2 1
|None
|-
|Ion b2 b6
|1 3 1 2 1 3 1
|128/125
|-
|Ion b2 b3 b6
|1 2 2 2 1 3 1
|128/125
|-
|Schisma
|2 2 1 1 1 2 1 1 1
|81/80, 128/125, 648/625, 2048/2025, 6561/6250, 32805/32768
|}
 
{| class="wikitable center-all mw-collapsible mw-collapsed"
|+style=white-space:nowrap| Modes of tonality
|+
|+
!Penta MOS
!Penta MOS
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|C# D E F# G# A B#
|C# D E F# G# A B#
|Db Eb F Gb G Ab Bb Cb C
|Db Eb F Gb G Ab Bb Cb C
|}
=== Blues scales ===
{| class="wikitable"
|+
Penta MOS with added notes
!Added notes
!Modes
! Distinctly tempered commas
|-
|None
|2 2 3 2 3
|81/80
|-
|b3
|2 1 1 3 2 3
| rowspan="2" |81/80
|-
|#1
|1 1 2 3 2 3
|-
|#5/b6
|2 2 3 1 1 3
|648/625, 2048/2025
|-
|#1 b3
|1 1 1 1 3 2 3
|81/80
|-
|b3 #5/b6
|2 1 1 3 1 1 3
| rowspan="2" |81/80, 648/625, 2048/2025
|-
|#1 #5/b6
|1 1 2 3 1 1 3
|-
|#1 b3 #5/b6
|1 1 1 1 3 1 1 3
|81/80, 648/625, 2048/2025
|}
|}


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