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

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= Mapping =
sharpness = 3
L = 4 ; s = 1
{| class="wikitable center-all"
! Degree
! Notation
! Approximate Ratios
! Approximate Ratios
! Notation
! Degree
|-
| 0
| P1
| 1/1
| 2/1
| P8
| 22
|-
| 1
| m2
| 32/31
| 31/16
| M7
| 21
|-
| 2
| ↑m2
| 16/15
| 15/8
| ↓M7
| 20
|-
| 3
| ↓M2
| 11/10
| 20/11
| ↑m7
| 19
|-
| 4
| M2
| 9/8, 8/7
| 7/4, 16/9
| m7
| 18
|-
| 5
| m3
| 7/6
| 12/7
| M6
| 17
|-
| 6
| ↑m3
| 6/5
| 5/3
| ↓M6
| 16
|-
| 7
| ↓M3
| 5/4
| 8/5
| ↑m6
| 15
|-
| 8
| M3
| 9/7
| 14/9
| m6
| 14
|-
| 9
| P4
| 4/3
| 3/2
| P5
| 13
|-
| 10
| ↑P4
| 11/8
| 16/11
| ↓P5
| 12
|-
| 11
| ↓A4
| colspan="2" | 7/5, 10/7
| ↑d5
| 11
|}
= MOS Modes =
= MOS Modes =


==1edo subset==
==1edo subset==


=== 1-Tone Row ===
=== Period: 22\22, Generator: 22\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 14: Line 110:
==2edo subset==
==2edo subset==


=== 2-Tone Row ===
=== Period: 11\22, Generator: 11\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 25: Line 121:
==11edo subset==
==11edo subset==


=== 11-Tone Row ===
=== Period: 2\22, Generator: 2\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 34: Line 130:
|}
|}


=== Period: 1\1, Generator: 2\22 ===
=== Period: 22\22, Generator: 2\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 67: Line 163:
|}
|}


=== Period: 1\1, Generator: 4\22 ===
=== Period: 22\22, Generator: 4\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 88: Line 184:
|}
|}


=== Period: 1\1, Generator: 6\22 ===
=== Period: 22\22, Generator: 6\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 106: Line 202:
|}
|}


=== Period: 1\1, Generator: 8\22 ===
=== Period: 22\22, Generator: 8\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 124: Line 220:
|}
|}


=== Period: 1\1, Generator: 10\22 ===
=== Period: 22\22, Generator: 10\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 147: Line 243:
==22edo subset==
==22edo subset==


=== 22-Tone Row ===
=== Period: 1\22, Generator: 1\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 156: Line 252:
|}
|}


=== Period: 1\1, Generator: 1\22 ===
=== Period: 11\22, Generator: 1\22 ===
{| class="wikitable"
!Name
!Intervals
|-
|2L 18s (2:1)
|1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1
|-
|2L 16s (3:1)
|1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 1 1
|-
|2L 14s (4:1)
|1 1 1 4 1 1 1 1 1 1 1 4 1 1 1 1
|-
|2L 12s (5:1)
|1 1 1 5 1 1 1 1 1 1 5 1 1 1
|-
|2L 10s (6:1)
|1 1 6 1 1 1 1 1 6 1 1 1
|-
|2L 8s (7:1)
|1 1 7 1 1 1 1 7 1 1
|-
|2L 6s (8:1)
|1 8 1 1 1 8 1 1
|-
|2L 4s (9:1)
|1 9 1 1 9 1
|-
|2L 2s (10:1)
|10 1 10 1
|}
 
=== Period: 11\22, Generator: 2\22 ===
{| class="wikitable"
!Name
!Intervals
!Alteration
|-
|10L 2s (2:1)
|2 2 2 1 2 2 2 2 2 1 2 2
|2 2 2 1 2 2 2 2 1 2 2 2
|-
|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
|}
 
=== Period: 11\22, Generator: 3\22 ===
{| class="wikitable"
!Name
!Intervals
|-
|8L 6s (2:1)
|2 1 2 1 2 1 2 2 1 2 1 2 1 2
|-
|6L 2s (3:2)
|3 3 2 3 3 3 2 3
|-
|2L 4s (5:3)
|3 5 3 3 5 3
|-
|2L 2s (8:3)
|8 3 8 3
|}
 
=== Period: 11\22, Generator: 4\22 ===
{| class="wikitable"
!Name
!Intervals
|-
|6L 10s (2:1)
|1 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1
|-
|6L 4s (3:1)
|3 1 3 1 3 3 1 3 1 3
|-
|4L 2s (4:3)
|4 3 4 4 3 4
|-
|2L 2s (7:4)
|7 4 7 4
|}
 
=== Period: 11\22, Generator: 5\22 ===
{| class="wikitable"
!Name
!Intervals
|-
|4L 14s (2:1)
|1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1
|-
|4L 10s (3:1)
|1 3 1 1 1 3 1 1 3 1 1 1 3 1
|-
|4L 6s (4:1)
|1 4 1 4 1 1 4 1 4 1
|-
|4L 2s (5:1)
|5 1 5 5 1 5
|-
|2L 2s (6:5)
|6 5 6 5
|}
 
=== Period: 22\22, Generator: 1\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 222: Line 435:
|}
|}


=== Period: 1\1, Generator: 3\22 ===
=== Period: 22\22, Generator: 3\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 279: Line 492:
|}
|}


=== Period: 1\1, Generator: 5\22 ===
=== Period: 22\22, Generator: 5\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 303: Line 516:
|}
|}


=== Period: 1\1, Generator: 7\22 ===
=== Period: 22\22, Generator: 7\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 333: Line 546:
|}
|}


=== Period: 1\1, Generator: 9\22 ===
=== Period: 22\22, Generator: 9\22 ===
{| class="wikitable"
{| class="wikitable"
!Name
!Name
Line 355: Line 568:
|1L 1s (13:9)
|1L 1s (13:9)
|13 9
|13 9
|}
=== Period: 1\2, Generator: 1\22 ===
{| class="wikitable"
!Name
!Intervals
|-
|2L 18s (2:1)
|1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1
|-
|2L 16s (3:1)
|1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 1 1
|-
|2L 14s (4:1)
|1 1 1 4 1 1 1 1 1 1 1 4 1 1 1 1
|-
|2L 12s (5:1)
|1 1 1 5 1 1 1 1 1 1 5 1 1 1
|-
|2L 10s (6:1)
|1 1 6 1 1 1 1 1 6 1 1 1
|-
|2L 8s (7:1)
|1 1 7 1 1 1 1 7 1 1
|-
|2L 6s (8:1)
|1 8 1 1 1 8 1 1
|-
|2L 4s (9:1)
|1 9 1 1 9 1
|-
|2L 2s (10:1)
|10 1 10 1
|}
=== Period: 1\2, Generator: 2\22 ===
{| class="wikitable"
!Name
!Intervals
!Alteration
|-
|10L 2s (2:1)
|2 2 2 1 2 2 2 2 2 1 2 2
|2 2 2 1 2 2 2 2 1 2 2 2
|-
|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
|}
=== Period: 1\2, Generator: 3\22 ===
{| class="wikitable"
!Name
!Intervals
|-
|8L 6s (2:1)
|2 1 2 1 2 1 2 2 1 2 1 2 1 2
|-
|6L 2s (3:2)
|3 3 2 3 3 3 2 3
|-
|2L 4s (5:3)
|3 5 3 3 5 3
|-
|2L 2s (8:3)
|8 3 8 3
|}
=== Period: 1\2, Generator: 4\22 ===
{| class="wikitable"
!Name
!Intervals
|-
|6L 10s (2:1)
|1 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1
|-
|6L 4s (3:1)
|3 1 3 1 3 3 1 3 1 3
|-
|4L 2s (4:3)
|4 3 4 4 3 4
|-
|2L 2s (7:4)
|7 4 7 4
|}
=== Period: 1\2, Generator: 5\22 ===
{| class="wikitable"
!Name
!Intervals
|-
|4L 14s (2:1)
|1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1
|-
|4L 10s (3:1)
|1 3 1 1 1 3 1 1 3 1 1 1 3 1
|-
|4L 6s (4:1)
|1 4 1 4 1 1 4 1 4 1
|-
|4L 2s (5:1)
|5 1 5 5 1 5
|-
|2L 2s (6:5)
|6 5 6 5
|}
|}
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