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

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=== Modes based on the circle of 3-odd-limit ===
{| class="wikitable"
|+
!Alteration
!Modes
!5-limit commas tempered out
|-
|Penta MOS
|2 2 3 2 3
|81/80
|-
|Penta b7
|2 2 3 3 2
|None
|-
|Penta #4 b7
|2 2 2 4 2
|None
|-
|Ion
|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"
|+
!Added notes
!Modes
!5-limit commas tempered out
|-
|#5/b6
|2 2 3 1 1 3
|648/625, 2048/2025
|-
|#1
|1 1 2 3 2 3
|81/80
|-
|b3
|2 1 1 3 2 3
|81/80
|-
|#1 b3
|1 1 1 1 3 2 3
|81/80
|-
|#1 b3 #5/b6
|1 1 1 1 3 1 1 3
|81/80, 648/625, 2048/2025
|}
|}


Line 593: Line 678:
|}
|}


=== Modes based on the circle of 3-odd-limit ===
 
{| class="wikitable"
 
|+
!Alteration
!Modes
!5-limit commas tempered out
|-
|Penta MOS
|2 2 3 2 3
|81/80
|-
|Penta b7
|2 2 3 3 2
|None
|-
|Penta #4 b7
|2 2 2 4 2
|None
|-
|Ion
|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"
{| class="wikitable"
|+
|+
Line 867: Line 899:
|}
|}


=== Blues scales ===
{| class="wikitable"
|+
!Added notes
!Modes
!5-limit commas tempered out
|-
|#5/b6
|2 2 3 1 1 3
|648/625, 2048/2025
|-
|#1
|1 1 2 3 2 3
|81/80
|-
|b3
|2 1 1 3 2 3
|81/80
|-
|#1 b3
|1 1 1 1 3 2 3
|81/80
|-
|#1 b3 #5/b6
|1 1 1 1 3 1 1 3
|81/80, 648/625, 2048/2025
|}
{| class="wikitable"
{| class="wikitable"
|+
|+