Table of 103edo intervals: Difference between revisions
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+diatonic marks; +bold; sort to prepare for a split by prime limit |
+a ratio and mark italic |
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| Line 18: | Line 18: | ||
| 11.650 | | 11.650 | ||
| | | | ||
| 81/80, 126/125 | | ''81/80'', 126/125 | ||
|- | |- | ||
| 2 | | 2 | ||
| Line 28: | Line 28: | ||
| 34.951 | | 34.951 | ||
| | | | ||
| 49/48, 50/49, 64/63 | | 49/48, 50/49, ''64/63'' | ||
|- | |- | ||
| 4 | | 4 | ||
| 46.602 | | 46.602 | ||
| | | | ||
| 33/32, 36/35, 35/34 | | ''33/32'', 36/35, 35/34 | ||
|- | |- | ||
| 5 | | 5 | ||
| 58.252 | | 58.252 | ||
| | | | ||
| 27/26, 34/33 | | ''27/26'', ''34/33'' | ||
|- | |- | ||
| 6 | | 6 | ||
| 69.903 | | 69.903 | ||
| | | | ||
| 25/24, 28/27, 26/25 | | 25/24, ''28/27'', 26/25 | ||
|- | |- | ||
| 7 | | 7 | ||
| Line 98: | Line 98: | ||
| 198.058 | | 198.058 | ||
| M2 | | M2 | ||
| 9/8 | | ''9/8'' | ||
|- | |- | ||
| 18 | | 18 | ||
| Line 122: | Line 122: | ||
| 256.311 | | 256.311 | ||
| | | | ||
| | | ''52/45'' | ||
|- | |- | ||
| 23 | | 23 | ||
| Line 152: | Line 152: | ||
| 326.214 | | 326.214 | ||
| | | | ||
| 63/52, 65/54 | | ''63/52'', 65/54 | ||
|- | |- | ||
| 29 | | 29 | ||
| Line 172: | Line 172: | ||
| 372.816 | | 372.816 | ||
| | | | ||
| 26/21, 81/65 | | 26/21, ''81/65'' | ||
|- | |- | ||
| 33 | | 33 | ||
| Line 232: | Line 232: | ||
| 512.621 | | 512.621 | ||
| | | | ||
| 27/20 | | ''27/20'' | ||
|- | |- | ||
| 45 | | 45 | ||
Revision as of 04:41, 29 January 2024
This table of 103edo intervals assumes 17-limit patent val ⟨103 163 239 289 356 381 421] of 103edo.
Intervals highlighted in bold are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in italic. Intervals that differ by more than 100% are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.
| Degree | Cents | Marks | Approximate Ratios |
|---|---|---|---|
| 0 | 0.000 | P1 | 1/1 |
| 1 | 11.650 | 81/80, 126/125 | |
| 2 | 23.301 | 65/64, 66/65, 78/77 | |
| 3 | 34.951 | 49/48, 50/49, 64/63 | |
| 4 | 46.602 | 33/32, 36/35, 35/34 | |
| 5 | 58.252 | 27/26, 34/33 | |
| 6 | 69.903 | 25/24, 28/27, 26/25 | |
| 7 | 81.553 | 21/20, 22/21 | |
| 8 | 93.204 | 18/17 | |
| 9 | 104.854 | m2 | 17/16 |
| 10 | 116.505 | 16/15, 15/14 | |
| 11 | 128.155 | 14/13 | |
| 12 | 139.806 | 13/12 | |
| 13 | 151.456 | 12/11 | |
| 14 | 163.107 | 11/10 | |
| 15 | 174.757 | 72/65 | |
| 16 | 186.408 | 10/9 | |
| 17 | 198.058 | M2 | 9/8 |
| 18 | 209.708 | ||
| 19 | 221.359 | 25/22, 17/15 | |
| 20 | 233.010 | 8/7 | |
| 21 | 244.660 | 15/13 | |
| 22 | 256.311 | 52/45 | |
| 23 | 267.961 | 7/6 | |
| 24 | 279.712 | 20/17 | |
| 25 | 291.262 | 13/11 | |
| 26 | 303.013 | m3 | 25/21 |
| 27 | 314.563 | 6/5 | |
| 28 | 326.214 | 63/52, 65/54 | |
| 29 | 337.864 | 39/32, 17/14 | |
| 30 | 349.615 | 11/9, 27/22 | |
| 31 | 361.165 | 16/13, 21/17 | |
| 32 | 372.816 | 26/21, 81/65 | |
| 33 | 384.466 | 5/4 | |
| 34 | 396.117 | M3 | 44/35 |
| 35 | 407.767 | 33/26 | |
| 36 | 419.417 | 14/11 | |
| 37 | 431.068 | 9/7 | |
| 38 | 442.708 | 22/17 | |
| 39 | 454.369 | 13/10 | |
| 40 | 466.019 | 21/16, 17/13 | |
| 41 | 477.670 | ||
| 42 | 489.320 | 65/49 | |
| 43 | 500.971 | P4 | 4/3 |
| 44 | 512.621 | 27/20 | |
| 45 | 524.272 | 65/48 | |
| 46 | 535.922 | 15/11 | |
| 47 | 547.573 | 11/8 | |
| 48 | 559.223 | 18/13 | |
| 49 | 570.874 | 25/18 | |
| 50 | 582.524 | 7/5 | |
| 51 | 594.175 | A4 | 24/17 |
| … | … | … |