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

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Contribution (talk | contribs)
3,348 edits
Contribution (talk | contribs)
3,348 edits
Line 2: Line 2:
sharpness = 3
sharpness = 3
L = 4 ; s = 1
L = 4 ; s = 1
{| class="wikitable center-all"
{| class="wikitable center-all"
! Degree
! Degree
Line 12: Line 13:
| 0
| 0
| P1
| P1
| 1/1
| <u>1/1</u>
| 2/1
| <u>2/1</u>
| P8
| P8
| 22
| 22
Line 26: Line 27:
| 2
| 2
| ↑m2
| ↑m2
| 16/15, ''15/14''
| <u>16/15</u>, 15/14
| ''28/15'', 15/8
| 28/15, <u>15/8</u>
| ↓M7
| ↓M7
| 20
| 20
Line 33: Line 34:
| 3
| 3
| ↓M2
| ↓M2
| ''12/11'', 11/10, ''10/9''
| 12/11, <u>11/10</u>, 10/9
| ''9/5'', 20/11, ''11/6''
| 9/5, <u>20/11</u>, 11/6
| ↑m7
| ↑m7
| 19
| 19
Line 40: Line 41:
| 4
| 4
| M2
| M2
| 9/8, 8/7
| <u>9/8</u>, <u>8/7</u>
| 7/4, 16/9
| <u>7/4</u>, <u>16/9</u>
| m7
| m7
| 18
| 18
Line 47: Line 48:
| 5
| 5
| m3
| m3
| 7/6
| <u>7/6</u>
| 12/7
| <u>12/7</u>
| M6
| M6
| 17
| 17
Line 54: Line 55:
| 6
| 6
| ↑m3
| ↑m3
| 6/5, ''11/9''
| <u>6/5</u>, 11/9
| ''18/11'', 5/3
| 18/11, <u>5/3</u>
| ↓M6
| ↓M6
| 16
| 16
Line 61: Line 62:
| 7
| 7
| ↓M3
| ↓M3
| 5/4
| <u>5/4</u>
| 8/5
| <u>8/5</u>
| ↑m6
| ↑m6
| 15
| 15
Line 68: Line 69:
| 8
| 8
| M3
| M3
| ''14/11'', 9/7
| 14/11, <u>9/7</u>
| 14/9, ''11/7''
| <u>14/9</u>, 11/7
| m6
| m6
| 14
| 14
Line 75: Line 76:
| 9
| 9
| P4
| P4
| 4/3
| <u>4/3</u>
| 3/2
| <u>3/2</u>
| P5
| P5
| 13
| 13
Line 82: Line 83:
| 10
| 10
| ↑P4
| ↑P4
| ''15/11'', 11/8
| 15/11, <u>11/8</u>
| 16/11, ''22/15''
| <u>16/11</u>, 22/15
| ↓P5
| ↓P5
| 12
| 12
Line 89: Line 90:
| 11
| 11
| ↓A4
| ↓A4
| colspan="2" | 7/5, 10/7
| colspan="2" | <u>7/5</u>, <u>10/7</u>
| ↑d5
| ↑d5
| 11
| 11

Revision as of 21:51, 1 July 2026

Mapping

sharpness = 3 L = 4 ; s = 1

Degree Notation Approximate Ratios Approximate Ratios Notation Degree
0 P1 1/1 2/1 P8 22
1 m2 M7 21
2 ↑m2 16/15, 15/14 28/15, 15/8 ↓M7 20
3 ↓M2 12/11, 11/10, 10/9 9/5, 20/11, 11/6 ↑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, 11/9 18/11, 5/3 ↓M6 16
7 ↓M3 5/4 8/5 ↑m6 15
8 M3 14/11, 9/7 14/9, 11/7 m6 14
9 P4 4/3 3/2 P5 13
10 ↑P4 15/11, 11/8 16/11, 22/15 ↓P5 12
11 ↓A4 7/5, 10/7 ↑d5 11

Rank-2 5-limit temperaments

Periods

per 8ve

Generator Temperaments 5-limit commas
1 1\22 Chromo
Escapade 		1220703125/1146617856
4294967296/4271484375
1 3\22 Porcupine 250/243
1 5\22 Orson 2109375/2097152
1 7\22 Magic 3125/3072
1 9\22 Superpyth 20480/19683
2 1\22 Comic 5120000/4782969
2 2\22 Diaschismic 2048/2025
2 3\22 Kwazy 9010162353515625/9007199254740992
2 4\22 Wizard 2197265625/2147483648
2 5\22 Doublewide 390625/373248
11 1\22 Undekapent 48828125/45349632

MOS Modes

1edo subset

Period: 22\22, Generator: 22\22

Name Intervals
1L 0s (22:0) 22

2edo subset

Period: 11\22, Generator: 11\22

Name Intervals
2L 0s (11:0) 11 11

11edo subset

Period: 2\22, Generator: 2\22

Name Intervals
11L 0s (2:0) 2 2 2 2 2 2 2 2 2 2 2

Period: 22\22, Generator: 2\22

Name Intervals
1L 9s (4:2) 2 2 2 2 4 2 2 2 2 2
1L 8s (6:2) 2 2 2 2 6 2 2 2 2
1L 7s (8:2) 2 2 2 8 2 2 2 2
1L 6s (10:2) 2 2 2 10 2 2 2
1L 5s (12:2) 2 2 12 2 2 2
1L 4s (14:2) 2 2 14 2 2
1L 3s (16:2) 2 16 2 2
1L 2s (18:2) 2 18 2
1L 1s (20:2) 20 2

Period: 22\22, Generator: 4\22

Name Intervals
5L 1s (4:2) 4 4 4 2 4 4
1L 4s (6:4) 4 4 6 4 4
1L 3s (10:4) 4 10 4 4
1L 2s (14:4) 4 14 4
1L 1s (18:4) 18 4

Period: 22\22, Generator: 6\22

Name Intervals
4L 3s (4:2) 4 2 4 2 4 2 4
3L 1s (6:4) 6 6 4 6
1L 2s (10:6) 6 10 6
1L 1s (16:6) 16 6

Period: 22\22, Generator: 8\22

Name Intervals
3L 5s (4:2) 2 4 2 4 2 2 4 2
3L 2s (6:2) 6 2 6 2 6
2L 1s (8:6) 8 6 8
1L 1s (14:8) 14 8

Period: 22\22, Generator: 10\22

Name Intervals
2L 7s (4:2) 2 2 4 2 2 2 4 2 2
2L 5s (6:2) 2 6 2 2 2 6 2
2L 3s (8:2) 2 8 2 8 2
2L 1s (10:2) 10 2 10
1L 1s (12:10) 12 10

22edo subset

Period: 1\22, Generator: 1\22

Name Intervals
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

Period: 11\22, Generator: 1\22

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

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

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

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

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

Name Intervals
1L 20s (2:1) 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
1L 9s (13:1) 1 1 1 1 13 1 1 1 1 1
1L 8s (14:1) 1 1 1 1 14 1 1 1 1
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

Period: 22\22, Generator: 3\22

Name Intervals Alteration Alteration Alteration
7L 8s (2:1) 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1
7L 1s (3:1) 3 3 3 3 1 3 3 3
1L 6s (4:3) 3 3 3 4 3 3 3 3 4 3 3 3 4 2 3 3 4 2 4 3 3 2 4 3 3 3 4 3
1L 5s (7:3) 3 3 7 3 3 3
1L 4s (10:3) 3 3 10 3 3
1L 3s (13:3) 3 13 3 3
1L 2s (16:3) 3 16 3
1L 1s (19:3) 19 3

Period: 22\22, Generator: 5\22

Name Intervals
9L 4s (2:1) 2 1 2 2 1 2 2 2 1 2 2 1 2
4L 5s (3:2) 2 3 2 3 2 3 2 3 2
4L 1s (5:2) 5 5 2 5 5
1L 3s (7:5) 5 7 5 5
1L 2s (12:5) 5 12 5
1L 1s (17:5) 17 5

Period: 22\22, Generator: 7\22

Name Intervals
3L 16s (2:1) 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1
3L 13s (3:1) 1 1 3 1 1 1 1 3 1 1 1 1 1 3 1 1
3L 10s (4:1) 1 1 4 1 1 1 4 1 1 1 4 1 1
3L 7s (5:1) 1 5 1 1 5 1 1 1 5 1
3L 4s (6:1) 1 6 1 6 1 6 1
3L 1s (7:1) 7 7 1 7
1L 2s (8:7) 7 8 7
1L 1s (15:7) 15 7

Period: 22\22, Generator: 9\22

Name Intervals
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
Retrieved from "https://en.xen.wiki/index.php?title=User:Contribution/Exploring_Selected_Modes_in_22-EDO&oldid=233089"