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 |
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| Line 28: | Line 28: | ||
| 1 | | 1 | ||
| 18.46 | | 18.46 | ||
| 81/80, 100/99, 121/120 | | 81/80, 100/99, 121/120, 88/87, 93/92, 94/93, 95/94, 96/95, 115/114, 116/115, 125/124 | ||
| ^1 | | ^1 | ||
| ^D | | ^D | ||
| Line 34: | Line 34: | ||
| 2 | | 2 | ||
| 36.92 | | 36.92 | ||
| 45/44, 55/54, 128/125 | | 45/44, 46/45, 47/46, 48/47, 55/54, 128/125 | ||
| ^^1 | | ^^1 | ||
| ^^D | | ^^D | ||
| Line 40: | Line 40: | ||
| 3 | | 3 | ||
| 55.38 | | 55.38 | ||
| 33/32 | | 33/32, 34/33, 30/29, 31/30, 32/31 | ||
| vvm2 | | vvm2 | ||
| vvEb | | vvEb | ||
| Line 46: | Line 46: | ||
| 4 | | 4 | ||
| 73.85 | | 73.85 | ||
| 25/24 | | 25/24, 24/23, 23/22, 47/45 | ||
| vm2 | | vm2 | ||
| vEb | | vEb | ||
| Line 52: | Line 52: | ||
| 5 | | 5 | ||
| 92.31 | | 92.31 | ||
| 135/128, 256/243 | | 135/128, 256/243, 18/17, 19/18, 20/19, 58/55 | ||
| m2 | | m2 | ||
| Eb | | Eb | ||
| Line 58: | Line 58: | ||
| 6 | | 6 | ||
| 110.77 | | 110.77 | ||
| 16/15 | | 16/15, 17/16, 33/31 | ||
| A1/^m2 | | A1/^m2 | ||
| D#/^Eb | | D#/^Eb | ||
| Line 64: | Line 64: | ||
| 7 | | 7 | ||
| 129.23 | | 129.23 | ||
| 14/13 | | 27/25, 14/13, 55/51 | ||
| v~2 | | v~2 | ||
| ^^Eb | | ^^Eb | ||
| Line 70: | Line 70: | ||
| 8 | | 8 | ||
| 147.69 | | 147.69 | ||
| 12/11 | | 12/11, 25/23 | ||
| ~2 | | ~2 | ||
| vvvE | | vvvE | ||
| Line 76: | Line 76: | ||
| 9 | | 9 | ||
| 166.15 | | 166.15 | ||
| 11/10 | | 11/10, 32/29 | ||
| ^~2 | | ^~2 | ||
| vvE | | vvE | ||
| Line 88: | Line 88: | ||
| 11 | | 11 | ||
| 203.08 | | 203.08 | ||
| 9/8 | | 9/8, 19/17, 64/57 | ||
| M2 | | M2 | ||
| E | | E | ||
| Line 94: | Line 94: | ||
| 12 | | 12 | ||
| 221.54 | | 221.54 | ||
| 25/22 | | 25/22, 17/15, 33/29, 58/51 | ||
| ^M2 | | ^M2 | ||
| ^E | | ^E | ||
| Line 100: | Line 100: | ||
| 13 | | 13 | ||
| 240.00 | | 240.00 | ||
| 55/48 | | 55/48, 23/20, 31/17, 54/47 | ||
| ^^M2 | | ^^M2 | ||
| ^^E | | ^^E | ||
| Line 106: | Line 106: | ||
| 14 | | 14 | ||
| 258.46 | | 258.46 | ||
| 64/55 | | 64/55, 22/19, 29/25, 36/31 | ||
| vvm3 | | vvm3 | ||
| vvF | | vvF | ||
| Line 112: | Line 112: | ||
| 15 | | 15 | ||
| 276.92 | | 276.92 | ||
| 75/64 | | 75/64, 20/17, 27/23, 34/29 | ||
| vm3 | | vm3 | ||
| vF | | vF | ||
| Line 118: | Line 118: | ||
| 16 | | 16 | ||
| 295.38 | | 295.38 | ||
| 32/27 | | 32/27, 19/16 | ||
| m3 | | m3 | ||
| F | | F | ||
| Line 124: | Line 124: | ||
| 17 | | 17 | ||
| 313.85 | | 313.85 | ||
| 6/5 | | 6/5, 55/46 | ||
| ^m3 | | ^m3 | ||
| ^F | | ^F | ||
| Line 130: | Line 130: | ||
| 18 | | 18 | ||
| 332.31 | | 332.31 | ||
| 40/33 | | 40/33, 17/14, 23/19 | ||
| v~3 | | v~3 | ||
| ^^F | | ^^F | ||
| Line 136: | Line 136: | ||
| 19 | | 19 | ||
| 350.77 | | 350.77 | ||
| 11/9, 27/22 | | 11/9, 27/22, 38/31 | ||
| ~3 | | ~3 | ||
| ^^^F | | ^^^F | ||
| Line 142: | Line 142: | ||
| 20 | | 20 | ||
| 369.23 | | 369.23 | ||
| 26/21 | | 26/21, 68/55, 47/38 | ||
| ^~3 | | ^~3 | ||
| vvF# | | vvF# | ||
| Line 148: | Line 148: | ||
| 21 | | 21 | ||
| 387.69 | | 387.69 | ||
| 5/4 | | 5/4, 64/51 | ||
| vM3 | | vM3 | ||
| vF# | | vF# | ||
| Line 154: | Line 154: | ||
| 22 | | 22 | ||
| 406.15 | | 406.15 | ||
| 81/64 | | 81/64, 19/15, 24/19, 34/27, 29/23 | ||
| M3 | | M3 | ||
| F# | | F# | ||
| Line 160: | Line 160: | ||
| 23 | | 23 | ||
| 424.62 | | 424.62 | ||
| 32/25 | | 32/25, 23/18 | ||
| ^M3 | | ^M3 | ||
| ^F# | | ^F# | ||
| Line 166: | Line 166: | ||
| 24 | | 24 | ||
| 443.08 | | 443.08 | ||
| 128/99 | | 128/99, 22/17, 31/24, 40/31 | ||
| ^^M3 | | ^^M3 | ||
| ^^F# | | ^^F# | ||
| Line 172: | Line 172: | ||
| 25 | | 25 | ||
| 461.54 | | 461.54 | ||
| 72/55 | | 72/55, 30/23, 47/36 | ||
| vv4 | | vv4 | ||
| vvG | | vvG | ||
| Line 178: | Line 178: | ||
| 26 | | 26 | ||
| 480.00 | | 480.00 | ||
| 33/25 | | 33/25, 29/22, 62/47 | ||
| v4 | | v4 | ||
| vG | | vG | ||
| Line 190: | Line 190: | ||
| 28 | | 28 | ||
| 516.92 | | 516.92 | ||
| 27/20 | | 27/20, 23/17, 31/23 | ||
| ^4 | | ^4 | ||
| ^G | | ^G | ||
| Line 196: | Line 196: | ||
| 29 | | 29 | ||
| 535.38 | | 535.38 | ||
| 15/11 | | 15/11, 34/25, 64/47 | ||
| v~4 | | v~4 | ||
| ^^G | | ^^G | ||
| Line 202: | Line 202: | ||
| 30 | | 30 | ||
| 553.85 | | 553.85 | ||
| 11/8 | | 11/8, 40/29, 62/45 | ||
| ~4 | | ~4 | ||
| ^^^G | | ^^^G | ||
| Line 208: | Line 208: | ||
| 31 | | 31 | ||
| 572.31 | | 572.31 | ||
| 25/18 | | 25/18, 32/23 | ||
| ^~4/vd5 | | ^~4/vd5 | ||
| vvG#/vAb | | vvG#/vAb | ||
| Line 214: | Line 214: | ||
| 32 | | 32 | ||
| 590.77 | | 590.77 | ||
| 45/32 | | 45/32, 38/27, 31/22, 24/17 | ||
| vA4/d5 | | vA4/d5 | ||
| vG#/Ab | | vG#/Ab | ||
| Line 416: | Line 416: | ||
| D | | D | ||
|} | |} | ||
<nowiki>*</nowiki> based on treating 65edo as a 2.3.5.11.13/7 subgroup temperament. | <nowiki>*</nowiki> based on treating 65edo as a 2.3.5.11.13/7.17.19.23.29.31.47 subgroup temperament. | ||
== Regular temperament properties == | == Regular temperament properties == | ||