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User:Contribution/Exploring Selected Modes in 22-EDO: Difference between revisions

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==22edo subset==
==22edo subset==


=== Generator: 2\22, Period 2\22 ===
=== Tone row ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 9: Line 9:
!Alteration
!Alteration
|-
|-
|10L 2s (2:1)
|22L 0s (1:0)
|2 2 2 1 2 2 2 2 2 1 2 2
|1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
|2 2 2 1 2 2 2 2 1 2 2 2
|
|-
|2L 8s (3:2)
|2 2 3 2 2 2 2 3 2 2
|2 2 3 2 2 2 3 2 2 2
|-
|2L 6s (5:2)
|2 5 2 2 2 5 2 2
|2 2 5 2 2 5 2 2
|-
|2L 4s (7:2)
|2 7 2 2 7 2
|2 7 2 7 2 2
|-
|2L 2s (9:2)
|9 2 9 2
|9 2 2 9
|}
|}


=== Generator: 5\22, Period 1\22 ===
=== Generator: 1\22, Period 1\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 36: Line 20:
!Alteration
!Alteration
|-
|-
|9L 4s (2:1)
|1L 20s (2:1)
|2 1 2 2 1 2 2 2 1 2 2 1 2
|1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1
|
|-
|1L 19s (3:1)
|1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1
|
|-
|1L 18s (4:1)
|1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1
|
|-
|1L 17s (5:1)
|1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1
|
|-
|1L 16s (6:1)
|1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1
|
|-
|1L 15s (7:1)
|1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1
|
|-
|1L 14s (8:1)
|1 1 1 1 1 1 1 8 1 1 1 1 1 1 1
|
|-
|1L 13s (9:1)
|1 1 1 1 1 1 9 1 1 1 1 1 1 1
|
|-
|1L 12s (10:1)
|1 1 1 1 1 1 10 1 1 1 1 1 1
|
|-
|1L 11s (11:1)
|1 1 1 1 1 11 1 1 1 1 1 1
|
|-
|1L 10s (12:1)
|1 1 1 1 1 12 1 1 1 1 1
|
|
|-
|-
|4L 5s (3:2)
|1L 9s (13:1)
|2 3 2 3 2 3 2 3 2
|1 1 1 1 13 1 1 1 1 1
|
|
|-
|-
|4L 1s (5:2)
|1L 8s (14:1)
|5 5 2 5 5
|1 1 1 1 14 1 1 1 1
|
|
|-
|-
|1L 3s (7:5)
|1L 7s (15:1)
|5 7 5 5
|1 1 1 15 1 1 1 1
|
|
|-
|-
|1L 2s (12:5)
|1L 6s (16:1)
|5 12 5
|1 1 1 16 1 1 1
|
|
|-
|-
|1L 1s (17:5)
|1L 5s (17:1)
|17 5
|1 1 17 1 1 1
|
|
|}
=== Generator: 3\22, Period 2\22 ===
{| class="wikitable"
!Name
!Intervals
!Alteration
|-
|-
|8L 6s (2:1)
|1L 4s (18:1)
|2 1 2 1 2 1 2 2 1 2 1 2 1 2
|1 1 18 1 1
|
|
|-
|-
|6L 2s (3:2)
|1L 3s (19:1)
|3 3 2 3 3 3 2 3
|1 19 1 1
|
|
|-
|-
|2L 4s (5:3)
|1L 2s (20:1)
|3 5 3 3 5 3
|1 20 1
|
|
|-
|-
|2L 2s (8:3)
|1L 1s (21:1)
|8 3 8 3
|21 1
|
|
|}
|}
Line 123: Line 140:
|}
|}


=== Generator: 4\22, Period 2\22 ===
=== Generator: 5\22, Period 1\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 129: Line 146:
!Alteration
!Alteration
|-
|-
|6L 10s (2:1)
|9L 4s (2:1)
|1 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1
|2 1 2 2 1 2 2 2 1 2 2 1 2
|
|
|-
|-
|6L 4s (3:1)
|4L 5s (3:2)
|3 1 3 1 3 3 1 3 1 3
|2 3 2 3 2 3 2 3 2
|
|
|-
|-
|4L 2s (4:3)
|4L 1s (5:2)
|4 3 4 4 3 4
|5 5 2 5 5
|
|
|-
|-
|2L 2s (7:4)
|1L 3s (7:5)
|7 4 7 4
|5 7 5 5
|
|}
 
=== Generator: 9\22, Period 1\22 ===
{| class="wikitable"
!Name
!Intervals
!Alteration
|-
|5L 12s (2:1)
|1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1
|
|
|-
|-
|5L 7s (3:1)
|1L 2s (12:5)
|1 3 1 3 1 3 1 1 3 1 3 1
|5 12 5
|
|
|-
|-
|5L 2s (4:1)
|1L 1s (17:5)
|4 1 4 4 4 1 4
|17 5
|
|-
|2L 3s (5:4)
|4 5 4 5 4
|
|-
|2L 1s (9:4)
|9 4 9
|
|-
|1L 1s (13:9)
|13 9
|
|
|}
|}
Line 213: Line 207:
|1L 1s (15:7)
|1L 1s (15:7)
|15 7
|15 7
|
|}
=== Generator: 9\22, Period 1\22 ===
{| class="wikitable"
!Name
!Intervals
!Alteration
|-
|5L 12s (2:1)
|1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1
|
|-
|5L 7s (3:1)
|1 3 1 3 1 3 1 1 3 1 3 1
|
|-
|5L 2s (4:1)
|4 1 4 4 4 1 4
|
|-
|2L 3s (5:4)
|4 5 4 5 4
|
|-
|2L 1s (9:4)
|9 4 9
|
|-
|1L 1s (13:9)
|13 9
|
|
|}
|}
Line 259: Line 284:
|}
|}


=== Generator: 1\22, Period 1\22 ===
=== Generator: 2\22, Period 2\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 265: Line 290:
!Alteration
!Alteration
|-
|-
|1L 20s (2:1)
|10L 2s (2:1)
|1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1
|2 2 2 1 2 2 2 2 2 1 2 2
|
|2 2 2 1 2 2 2 2 1 2 2 2
|-
|-
|1L 19s (3:1)
|2L 8s (3:2)
|1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1
|2 2 3 2 2 2 2 3 2 2
|
|2 2 3 2 2 2 3 2 2 2
|-
|-
|1L 18s (4:1)
|2L 6s (5:2)
|1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1
|2 5 2 2 2 5 2 2
|
|2 2 5 2 2 5 2 2
|-
|-
|1L 17s (5:1)
|2L 4s (7:2)
|1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1
|2 7 2 2 7 2
|
|2 7 2 7 2 2
|-
|-
|1L 16s (6:1)
|2L 2s (9:2)
|1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1
|9 2 9 2
|
|9 2 2 9
|}
 
=== Generator: 3\22, Period 2\22 ===
{| class="wikitable"
!Name
!Intervals
!Alteration
|-
|-
|1L 15s (7:1)
|8L 6s (2:1)
|1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1
|2 1 2 1 2 1 2 2 1 2 1 2 1 2
|
|
|-
|-
|1L 14s (8:1)
|6L 2s (3:2)
|1 1 1 1 1 1 1 8 1 1 1 1 1 1 1
|3 3 2 3 3 3 2 3
|
|
|-
|-
|1L 13s (9:1)
|2L 4s (5:3)
|1 1 1 1 1 1 9 1 1 1 1 1 1 1
|3 5 3 3 5 3
|
|
|-
|-
|1L 12s (10:1)
|2L 2s (8:3)
|1 1 1 1 1 1 10 1 1 1 1 1 1
|8 3 8 3
|
|
|}
=== Generator: 4\22, Period 2\22 ===
{| class="wikitable"
!Name
!Intervals
!Alteration
|-
|-
|1L 11s (11:1)
|6L 10s (2:1)
|1 1 1 1 1 11 1 1 1 1 1 1
|1 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1
|
|
|-
|-
|1L 10s (12:1)
|6L 4s (3:1)
|1 1 1 1 1 12 1 1 1 1 1
|3 1 3 1 3 3 1 3 1 3
|
|
|-
|-
|1L 9s (13:1)
|4L 2s (4:3)
|1 1 1 1 13 1 1 1 1 1
|4 3 4 4 3 4
|
|
|-
|-
|1L 8s (14:1)
|2L 2s (7:4)
|1 1 1 1 14 1 1 1 1
|7 4 7 4
|
|-
|1L 7s (15:1)
|1 1 1 15 1 1 1 1
|
|-
|1L 6s (16:1)
|1 1 1 16 1 1 1
|
|-
|1L 5s (17:1)
|1 1 17 1 1 1
|
|-
|1L 4s (18:1)
|1 1 18 1 1
|
|-
|1L 3s (19:1)
|1 19 1 1
|
|-
|1L 2s (20:1)
|1 20 1
|
|-
|1L 1s (21:1)
|21 1
|
|}
 
=== Tone row ===
{| class="wikitable"
!Name
!Intervals
!Alteration
|-
|22L 0s (1:0)
|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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