65edo: Difference between revisions
→Intervals: added intervals < 600c in extended subgroup (which was extended), specifically, superparticulars and (semi)convergents within the appropriately prime-subgroup-limited 57-odd-limit; please add anything you think is missing |
m →Intervals: octave complements and a correction |
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| Line 34: | Line 34: | ||
| 2 | | 2 | ||
| 36.92 | | 36.92 | ||
| 45/44, 46/45, 47/46, 48/47, 55/54 | | 128/125, 45/44, 46/45, 47/46, 48/47, 55/54 | ||
| ^^1 | | ^^1 | ||
| ^^D | | ^^D | ||
| Line 40: | Line 40: | ||
| 3 | | 3 | ||
| 55.38 | | 55.38 | ||
| 33/32, 34/33, 30/29, 31/30 | | 33/32, 34/33, 30/29, 32/31, 31/30 | ||
| vvm2 | | vvm2 | ||
| vvEb | | vvEb | ||
| Line 100: | Line 100: | ||
| 13 | | 13 | ||
| 240.00 | | 240.00 | ||
| 55/48, 23/20, 31/ | | 55/48, 38/33, 23/20, 31/27, 54/47 | ||
| ^^M2 | | ^^M2 | ||
| ^^E | | ^^E | ||
| Line 154: | Line 154: | ||
| 22 | | 22 | ||
| 406.15 | | 406.15 | ||
| 81/64, 19/15 | | 81/64, 24/19, 19/15, 34/27, 29/23 | ||
| M3 | | M3 | ||
| F# | | F# | ||
| Line 214: | Line 214: | ||
| 32 | | 32 | ||
| 590.77 | | 590.77 | ||
| 45/32, 38/27, 31/22 | | 45/32, 24/17, 38/27, 31/22 | ||
| vA4/d5 | | vA4/d5 | ||
| vG#/Ab | | vG#/Ab | ||
| Line 220: | Line 220: | ||
| 33 | | 33 | ||
| 609.23 | | 609.23 | ||
| 64/45 | | 64/45, 17/12, 27/19, 44/31 | ||
| A4/^d5 | | A4/^d5 | ||
| G#/^Ab | | G#/^Ab | ||
| Line 226: | Line 226: | ||
| 34 | | 34 | ||
| 627.69 | | 627.69 | ||
| 36/25 | | 36/25, 23/16 | ||
| ^A4/v~5 | | ^A4/v~5 | ||
| ^G#/^^Ab | | ^G#/^^Ab | ||
| Line 232: | Line 232: | ||
| 35 | | 35 | ||
| 646.15 | | 646.15 | ||
| 16/11 | | 16/11, 29/20, 45/31 | ||
| ~5 | | ~5 | ||
| vvvA | | vvvA | ||
| Line 238: | Line 238: | ||
| 36 | | 36 | ||
| 664.62 | | 664.62 | ||
| 22/15 | | 22/15, 25/17, 47/32 | ||
| ^~5 | | ^~5 | ||
| vvA | | vvA | ||
| Line 244: | Line 244: | ||
| 37 | | 37 | ||
| 683.08 | | 683.08 | ||
| 40/27 | | 40/27, 23/17, 31/23 | ||
| v5 | | v5 | ||
| vA | | vA | ||
| Line 256: | Line 256: | ||
| 39 | | 39 | ||
| 720.00 | | 720.00 | ||
| 50/33 | | 50/33, 44/29, 47/31 | ||
| ^5 | | ^5 | ||
| ^A | | ^A | ||
| Line 262: | Line 262: | ||
| 40 | | 40 | ||
| 738.46 | | 738.46 | ||
| 55/36 | | 55/36, 23/15, 72/47 | ||
| ^^5 | | ^^5 | ||
| ^^A | | ^^A | ||
| Line 268: | Line 268: | ||
| 41 | | 41 | ||
| 756.92 | | 756.92 | ||
| 99/64 | | 99/64, 17/11, 48/31, 31/20 | ||
| vvm6 | | vvm6 | ||
| vvBb | | vvBb | ||
| Line 274: | Line 274: | ||
| 42 | | 42 | ||
| 775.38 | | 775.38 | ||
| 25/16 | | 25/16, 36/23 | ||
| vm6 | | vm6 | ||
| vBb | | vBb | ||
| Line 280: | Line 280: | ||
| 43 | | 43 | ||
| 793.85 | | 793.85 | ||
| 128/81 | | 128/81, 19/12, 30/19, 27/17, 46/29 | ||
| m6 | | m6 | ||
| Bb | | Bb | ||
| Line 286: | Line 286: | ||
| 44 | | 44 | ||
| 812.31 | | 812.31 | ||
| 8/5 | | 8/5, 51/32 | ||
| ^m6 | | ^m6 | ||
| ^Bb | | ^Bb | ||
| Line 292: | Line 292: | ||
| 45 | | 45 | ||
| 830.77 | | 830.77 | ||
| 21/13 | | 21/13, 55/34, 76/47 | ||
| v~6 | | v~6 | ||
| ^^Bb | | ^^Bb | ||
| Line 298: | Line 298: | ||
| 46 | | 46 | ||
| 849.23 | | 849.23 | ||
| 18/11, 44/27 | | 18/11, 44/27, 31/19 | ||
| ~6 | | ~6 | ||
| vvvB | | vvvB | ||
| Line 304: | Line 304: | ||
| 47 | | 47 | ||
| 867.69 | | 867.69 | ||
| 33/20 | | 33/20, 28/17, 38/23 | ||
| ^~6 | | ^~6 | ||
| vvB | | vvB | ||
| Line 310: | Line 310: | ||
| 48 | | 48 | ||
| 886.15 | | 886.15 | ||
| 5/3 | | 5/3, 92/55 | ||
| vM6 | | vM6 | ||
| vB | | vB | ||
| Line 316: | Line 316: | ||
| 49 | | 49 | ||
| 904.62 | | 904.62 | ||
| 27/16 | | 27/16, 32/19 | ||
| M6 | | M6 | ||
| B | | B | ||
| Line 322: | Line 322: | ||
| 50 | | 50 | ||
| 923.08 | | 923.08 | ||
| 128/75 | | 128/75, 17/10, 46/27, 29/17 | ||
| ^M6 | | ^M6 | ||
| ^B | | ^B | ||
| Line 328: | Line 328: | ||
| 51 | | 51 | ||
| 941.54 | | 941.54 | ||
| 55/32 | | 55/32, 19/11, 50/29, 31/18 | ||
| ^^M6 | | ^^M6 | ||
| ^^B | | ^^B | ||
| Line 334: | Line 334: | ||
| 52 | | 52 | ||
| 960.00 | | 960.00 | ||
| 96/55 | | 96/55, 33/19, 40/23, 54/31, 47/27 | ||
| vvm7 | | vvm7 | ||
| vvC | | vvC | ||
| Line 340: | Line 340: | ||
| 53 | | 53 | ||
| 978.46 | | 978.46 | ||
| 44/25 | | 44/25, 30/17, 58/33, 51/29 | ||
| vm7 | | vm7 | ||
| vC | | vC | ||
| Line 346: | Line 346: | ||
| 54 | | 54 | ||
| 996.92 | | 996.92 | ||
| 16/9 | | 16/9, 34/19 | ||
| m7 | | m7 | ||
| C | | C | ||
| Line 358: | Line 358: | ||
| 56 | | 56 | ||
| 1033.85 | | 1033.85 | ||
| 20/11 | | 20/11, 29/16 | ||
| v~7 | | v~7 | ||
| ^^C | | ^^C | ||
| Line 364: | Line 364: | ||
| 57 | | 57 | ||
| 1052.31 | | 1052.31 | ||
| 11/6 | | 11/6, 46/25 | ||
| ~7 | | ~7 | ||
| ^^^C | | ^^^C | ||
| Line 370: | Line 370: | ||
| 58 | | 58 | ||
| 1070.77 | | 1070.77 | ||
| 13/7 | | 50/27, 13/7, 102/55 | ||
| ^~7 | | ^~7 | ||
| vvC# | | vvC# | ||
| Line 376: | Line 376: | ||
| 59 | | 59 | ||
| 1089.23 | | 1089.23 | ||
| 15/8 | | 15/8, 32/17, 62/33 | ||
| vM7 | | vM7 | ||
| vC# | | vC# | ||
| Line 382: | Line 382: | ||
| 60 | | 60 | ||
| 1107.69 | | 1107.69 | ||
| 243/128, 256/135 | | 243/128, 256/135, 17/9, 36/19, 19/10, 55/29 | ||
| M7 | | M7 | ||
| C# | | C# | ||
| Line 388: | Line 388: | ||
| 61 | | 61 | ||
| 1126.15 | | 1126.15 | ||
| 48/25 | | 48/25, 23/12, 44/23, 90/47 | ||
| ^M7 | | ^M7 | ||
| ^C# | | ^C# | ||
| Line 394: | Line 394: | ||
| 62 | | 62 | ||
| 1144.62 | | 1144.62 | ||
| 64/33 | | 64/33, 33/17, 29/15, 31/16, 60/31 | ||
| ^^M7 | | ^^M7 | ||
| ^^C# | | ^^C# | ||
| Line 400: | Line 400: | ||
| 63 | | 63 | ||
| 1163.08 | | 1163.08 | ||
| 88/45, 108/55 | | 125/64, 88/45, 45/23, 47/24, 92/47, 108/55 | ||
| vv8 | | vv8 | ||
| vvD | | vvD | ||
| Line 406: | Line 406: | ||
| 64 | | 64 | ||
| 1181.54 | | 1181.54 | ||
| 160/81, 99/50, 240/121 | | 160/81, 99/50, 240/121, 87/55, 184/93, 93/47, 188/95, 95/48, 228/115, 115/58, 248/125 | ||
| v8 | | v8 | ||
| vD | | vD | ||