Table of 31edo intervals: Difference between revisions
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KingHyperio (talk | contribs) Created page, meant to go into more depth with intervals used in 31edo. |
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| Line 19: | Line 19: | ||
| | | | ||
|128/125 | |128/125 | ||
|50/49, 64/63 | |36/35, 49/48, <br>50/49, 64/63 | ||
|45/44, | |33/32, 45/44, <br>55/54, 56/55 | ||
|40/39 | |40/39, 65/64 | ||
| | |35/34 | ||
| | |39/38 | ||
|46/45 | |46/45 | ||
| | | | ||
| Line 60: | Line 60: | ||
|35/32 | |35/32 | ||
|12/11, 11/10 | |12/11, 11/10 | ||
|13/12 | |(13/12) | ||
| | | | ||
| | | | ||
| Line 73: | Line 73: | ||
|28/25 | |28/25 | ||
|55/49 | |55/49 | ||
| | |(39/35) | ||
| | | | ||
|19/17 | |19/17 | ||
| Line 85: | Line 85: | ||
|144/125 | |144/125 | ||
|8/7 | |8/7 | ||
|55/48 | |25/22, 55/48 | ||
|15/13 | |15/13 | ||
|17/15 | |17/15 | ||
| Line 177: | Line 177: | ||
| | | | ||
|162/121 | |162/121 | ||
| | |35/26 | ||
|85/64 | |85/64 | ||
|128/95 | |128/95 | ||
| Line 242: | Line 242: | ||
| | | | ||
|121/81 | |121/81 | ||
| | |52/35 | ||
|128/85 | |128/85 | ||
|95/64 | |95/64 | ||
| Line 333: | Line 333: | ||
|7/4 | |7/4 | ||
|96/55 | |96/55 | ||
| | |26/15 | ||
|30/17 | |30/17 | ||
| | | | ||
Revision as of 14:12, 7 January 2022
Below is a table of (important) intervals consistently represented in 31edo. Intervals are found significantly, though not exclusively, in the 2.3.5.7.11.23 and 2.5.7.13.17.19.29.31 subgroups.
| Step | Cents | 3-limit | 5-limit | 7-limit | 11-limit | 13-limit | 17-limit | 19-limit | 23-limit | 29-limit | 31-limit |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 38.71 | 128/125 | 36/35, 49/48, 50/49, 64/63 |
33/32, 45/44, 55/54, 56/55 |
40/39, 65/64 | 35/34 | 39/38 | 46/45 | 32/31 | ||
| 2 | 77.42 | 25/24 | 21/20, 28/27 | 22/21 | 68/65 | 20/19 | 23/22 | ||||
| 3 | 116.13 | 16/15 | 15/14 | 77/72, 128/121 | 14/13 | 17/16 | 31/29 | ||||
| 4 | 154.84 | 35/32 | 12/11, 11/10 | (13/12) | 23/21 | 32/29 | |||||
| 5 | 193.55 | 9/8 | 10/9 | 28/25 | 55/49 | (39/35) | 19/17 | 29/26 | |||
| 6 | 232.26 | 144/125 | 8/7 | 25/22, 55/48 | 15/13 | 17/15 | |||||
| 7 | 270.97 | 75/64 | 7/6 | 64/55 | 20/17 | ||||||
| 8 | 309.68 | 32/27 | 6/5 | 25/21 | 77/64 | 19/16 | |||||
| 9 | 348.39 | 49/40 | 11/9, 27/22 | 16/13, 39/32 | |||||||
| 10 | 387.1 | 5/4 | 96/77 | ||||||||
| 11 | 425.81 | 32/25 | 9/7 | 14/11 | 23/18 | ||||||
| 12 | 464.52 | 125/96 | 21/16, 64/49 | 33/25 | 13/10 | 17/13 | |||||
| 13 | 503.23 | 4/3 | 27/20 | 162/121 | 35/26 | 85/64 | 128/95 | ||||
| 14 | 541.94 | 48/35, 49/36 | 11/8, 15/11 | 26/19 | |||||||
| 15 | 580.65 | 45/32, 25/18 | 7/5 | 108/77 | 24/17 | 32/23 | |||||
| 16 | 619.35 | 64/45, 36/25 | 10/7 | 77/54 | 17/12 | 23/16 | |||||
| 17 | 658.06 | 35/24, 72/49 | 16/11, 22/15 | 19/13 | |||||||
| 18 | 696.77 | 3/2 | 40/27 | 121/81 | 52/35 | 128/85 | 95/64 | ||||
| 19 | 735.48 | 192/125 | 32/21, 49/32 | 50/33 | 20/13 | 26/17 | |||||
| 20 | 774.19 | 25/16 | 14/9 | 11/7 | 36/23 | ||||||
| 21 | 812.9 | 8/5 | 77/48 | ||||||||
| 22 | 851.61 | 49/30 | 18/11, 44/27 | 13/8, 64/39 | |||||||
| 23 | 890.32 | 27/16 | 5/3 | 42/25 | 128/77 | 32/19 | |||||
| 24 | 929.03 | 128/75 | 12/7 | 55/32 | 17/10 | ||||||
| 25 | 967.74 | 125/72 | 7/4 | 96/55 | 26/15 | 30/17 | |||||
| 26 | 1006.45 | 16/9 | 9/5 | 25/14 | 98/55 | 52/29 | |||||
| 27 | 1045.16 | 64/35 | 11/6, 20/11 | 24/13 | 42/23 | 29/16 | |||||
| 28 | 1083.87 | 15/8 | 28/15 | 144/77, 121/64 | 13/7 | 32/17 | 58/31 | ||||
| 29 | 1122.58 | 48/25 | 27/14, 40/21 | 21/11 | 65/34 | 19/10 | 44/23 | ||||
| 30 | 1161.29 | 125/64 | 49/25, 35/18 | 88/45, 64/33 | 39/20 | 45/23 | 31/16 | ||||
| 31 | 1200 | 2/1 | 2/1 | 2/1 | 2/1 | 2/1 | 2/1 | 2/1 | 2/1 | 2/1 | 2/1 |