31edo: Difference between revisions
m →3\31 - 116.13¢ - Major Semitone or Diatonic Semitone or Large Minor Second or minor 2nd: Added a comment on apotomes. |
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| Line 28: | Line 28: | ||
|0 | |0 | ||
|0 | |0 | ||
|P1 | |||
|perfect unison | |perfect unison | ||
|D | |||
|P1 | |P1 | ||
|perfect unison | |perfect unison | ||
|D | |D | ||
|1/1 | |1/1 | ||
| Line 38: | Line 38: | ||
| |1 | | |1 | ||
| | 38.71 | | | 38.71 | ||
|^1, d2 | |||
|up-unison, dim 2nd | |up-unison, dim 2nd | ||
|^D, Ebb | |^D, Ebb | ||
|d2 | |||
|dim 2nd | |dim 2nd | ||
|Ebb | |Ebb | ||
|45/44, 49/48, 46/45, 128/125 | |45/44, 49/48, 46/45, 128/125 | ||
| Line 48: | Line 48: | ||
| | 2 | | | 2 | ||
| | 77.42 | | | 77.42 | ||
|A1, vm2 | |||
|aug 1sn, downminor 2nd | |aug 1sn, downminor 2nd | ||
|D#, vEb | |D#, vEb | ||
|A1 | |||
|aug 1sn | |aug 1sn | ||
|D# | |D# | ||
|25/24, 21/20, 22/21, 23/22 | |25/24, 21/20, 22/21, 23/22 | ||
| Line 58: | Line 58: | ||
| | 3 | | | 3 | ||
| | 116.13 | | | 116.13 | ||
|m2 | |||
|minor 2nd | |minor 2nd | ||
|Eb | |||
|m2 | |m2 | ||
|minor 2nd | |minor 2nd | ||
|Eb | |Eb | ||
|15/14, 16/15 | |15/14, 16/15 | ||
| Line 68: | Line 68: | ||
| | 4 | | | 4 | ||
| | 154.84 | | | 154.84 | ||
|~2 | |||
|mid 2nd | |mid 2nd | ||
|vE | |vE | ||
|AA1, dd3 | |||
|double-aug 1sn, double-dim 3rd | |double-aug 1sn, double-dim 3rd | ||
|Dx, Fbb | |Dx, Fbb | ||
|12/11, 11/10, 35/32 | |12/11, 11/10, 35/32 | ||
| Line 78: | Line 78: | ||
| | 5 | | | 5 | ||
| | 193.55 | | | 193.55 | ||
|M2 | |||
|major 2nd | |major 2nd | ||
|E | |||
|M2 | |M2 | ||
|major 2nd | |major 2nd | ||
|E | |E | ||
|9/8, 10/9, 19/17, 28/25 | |9/8, 10/9, 19/17, 28/25 | ||
| Line 88: | Line 88: | ||
| | 6 | | | 6 | ||
| | 232.26 | | | 232.26 | ||
|^M2 | |||
|upmajor 2nd | |upmajor 2nd | ||
|^E | |^E | ||
|d3 | |||
|dim 3rd | |dim 3rd | ||
|Fb | |Fb | ||
|8/7, 144/125 | |8/7, 144/125 | ||
| Line 98: | Line 98: | ||
| | 7 | | | 7 | ||
| | 270.97 | | | 270.97 | ||
|vm3 | |||
|downminor 3rd | |downminor 3rd | ||
|vF | |vF | ||
|A2 | |||
|aug 2nd | |aug 2nd | ||
|E# | |E# | ||
|7/6, 75/64 | |7/6, 75/64 | ||
| Line 108: | Line 108: | ||
| | 8 | | | 8 | ||
| | 309.68 | | | 309.68 | ||
|m3 | |||
|minor 3rd | |minor 3rd | ||
|F | |||
|m3 | |m3 | ||
|minor 3rd | |minor 3rd | ||
|F | |F | ||
|6/5, 25/21 | |6/5, 25/21 | ||
| Line 118: | Line 118: | ||
| | 9 | | | 9 | ||
| | 348.39 | | | 348.39 | ||
|~3 | |||
|mid 3rd | |mid 3rd | ||
|^F | |^F | ||
|AA2, dd4 | |||
|double-aug 2nd, double-dim 4th | |double-aug 2nd, double-dim 4th | ||
|Ex, Gbb | |Ex, Gbb | ||
|11/9, 27/22, 16/13, 60/49, 49/40 | |11/9, 27/22, 16/13, 60/49, 49/40 | ||
| Line 128: | Line 128: | ||
| | 10 | | | 10 | ||
| | 387.10 | | | 387.10 | ||
|M3 | |||
|major 3rd | |major 3rd | ||
|F# | |||
|M3 | |M3 | ||
|major 3rd | |major 3rd | ||
|F# | |F# | ||
|5/4 | |5/4 | ||
| Line 138: | Line 138: | ||
| | 11 | | | 11 | ||
| | 425.81 | | | 425.81 | ||
|^M3 | |||
|upmajor 3rd | |upmajor 3rd | ||
|^F# | |^F# | ||
|d4 | |||
|dim 4th | |dim 4th | ||
|Gb | |Gb | ||
|9/7, 14/11, 32/25 | |9/7, 14/11, 32/25 | ||
| Line 148: | Line 148: | ||
| | 12 | | | 12 | ||
| | 464.52 | | | 464.52 | ||
|v4 | |||
|down-4th | |down-4th | ||
|vG | |vG | ||
|A3 | |||
|aug 3rd | |aug 3rd | ||
|Fx | |Fx | ||
|21/16, 13/10, 17/13, 125/96 | |21/16, 13/10, 17/13, 125/96 | ||
| Line 158: | Line 158: | ||
| | 13 | | | 13 | ||
| | 503.23 | | | 503.23 | ||
|P4 | |||
|perfect 4th | |perfect 4th | ||
|G | |||
|P4 | |P4 | ||
|perfect 4th | |perfect 4th | ||
|G | |G | ||
|4/3 | |4/3 | ||
| Line 168: | Line 168: | ||
| | 14 | | | 14 | ||
| | 541.94 | | | 541.94 | ||
|^4, ~4 | |||
|up-4th, mid 4th | |up-4th, mid 4th | ||
|^G | |^G | ||
|AA3, dd5 | |||
|double-aug 3rd, double-dim 5th | |double-aug 3rd, double-dim 5th | ||
|Fx#, Gbb | |Fx#, Gbb | ||
|11/8, 15/11, 26/19 | |11/8, 15/11, 26/19 | ||
| Line 178: | Line 178: | ||
| | 15 | | | 15 | ||
| | 580.65 | | | 580.65 | ||
|aug 4th | |A4, vd5 | ||
|aug 4th, downdim 5th | |||
|G#, vAb | |||
|A4 | |A4 | ||
|aug 4th | |aug 4th | ||
|G# | |G# | ||
|7/5, 45/32, 25/18 | |7/5, 45/32, 25/18 | ||
| Line 188: | Line 188: | ||
|16 | |16 | ||
|619.35 | |619.35 | ||
|dim 5th | |^A4, d5 | ||
|upaug 4th, dim 5th | |||
|^G#, Ab | |||
|d5 | |d5 | ||
|dim 5th | |dim 5th | ||
|Ab | |Ab | ||
|10/7, 64/45, 36/25 | |10/7, 64/45, 36/25 | ||
| Line 198: | Line 198: | ||
|17 | |17 | ||
|658.06 | |658.06 | ||
|v5, ~5 | |||
|down-5th, mid 5th | |down-5th, mid 5th | ||
|vA | |vA | ||
|AA4, dd6 | |||
|double-aug 4th, double-dim 6th | |double-aug 4th, double-dim 6th | ||
|Gx, Bbbb | |Gx, Bbbb | ||
|16/11, 22/15, 19/13 | |16/11, 22/15, 19/13 | ||
| Line 208: | Line 208: | ||
|18 | |18 | ||
|696.77 | |696.77 | ||
|P5 | |||
|perfect 5th | |perfect 5th | ||
|A | |||
|P5 | |P5 | ||
|perfect 5th | |perfect 5th | ||
|A | |A | ||
|3/2 | |3/2 | ||
| Line 218: | Line 218: | ||
|19 | |19 | ||
|735.48 | |735.48 | ||
|^5 | |||
|up-5th | |up-5th | ||
|^A | |^A | ||
|d6 | |||
|dim 6th | |dim 6th | ||
|Bbb | |Bbb | ||
|32/21, 20/13, 26/17, 192/125 | |32/21, 20/13, 26/17, 192/125 | ||
| Line 228: | Line 228: | ||
|20 | |20 | ||
|774.19 | |774.19 | ||
|vm6 | |||
|downminor 6th | |downminor 6th | ||
|vBb | |vBb | ||
|A5 | |||
|aug 5th | |aug 5th | ||
|A# | |A# | ||
|14/9, 11/7, 25/16 | |14/9, 11/7, 25/16 | ||
| Line 238: | Line 238: | ||
|21 | |21 | ||
|812.90 | |812.90 | ||
|m6 | |||
|minor 6th | |minor 6th | ||
|Bb | |||
|m6 | |m6 | ||
|minor 6th | |minor 6th | ||
|Bb | |Bb | ||
|8/5 | |8/5 | ||
| Line 248: | Line 248: | ||
|22 | |22 | ||
|851.61 | |851.61 | ||
|~6 | |||
|mid 6th | |mid 6th | ||
|vB | |vB | ||
|AA5, dd7 | |||
|double-aug 5th, double-dim 7th | |double-aug 5th, double-dim 7th | ||
|Ax, Cbb | |Ax, Cbb | ||
|18/11, 44/27, 13/8, 49/30, 80/49 | |18/11, 44/27, 13/8, 49/30, 80/49 | ||
| Line 258: | Line 258: | ||
|23 | |23 | ||
|890.32 | |890.32 | ||
|M6 | |||
|major 6th | |major 6th | ||
|B | |||
|M6 | |M6 | ||
|major 6th | |major 6th | ||
|B | |B | ||
|5/3, 42/25 | |5/3, 42/25 | ||
| Line 268: | Line 268: | ||
|24 | |24 | ||
|929.03 | |929.03 | ||
|^M6 | |||
|upmajor 6th | |upmajor 6th | ||
|^B | |^B | ||
|d7 | |||
|dim 7th | |dim 7th | ||
|Cb | |Cb | ||
|12/7, 128/75 | |12/7, 128/75 | ||
| Line 278: | Line 278: | ||
|25 | |25 | ||
|967.74 | |967.74 | ||
|vm7 | |||
|downminor 7th | |downminor 7th | ||
|vC | |vC | ||
|A6 | |||
|aug 6th | |aug 6th | ||
|B# | |B# | ||
|7/4, 125/72 | |7/4, 125/72 | ||
| Line 288: | Line 288: | ||
|26 | |26 | ||
|1006.45 | |1006.45 | ||
|m7 | |||
|minor 7th | |minor 7th | ||
|C | |||
|m7 | |m7 | ||
|minor 7th | |minor 7th | ||
|C | |C | ||
|16/9, 9/5, 34/19, 25/14 | |16/9, 9/5, 34/19, 25/14 | ||
| Line 298: | Line 298: | ||
|27 | |27 | ||
|1045.16 | |1045.16 | ||
|~7 | |||
|mid 7th | |mid 7th | ||
|^C | |^C | ||
|AA6, dd8 | |||
|double-aug 6th, double-dim 8ve | |double-aug 6th, double-dim 8ve | ||
|Bx, Dbb | |Bx, Dbb | ||
|11/6, 20/11, 64/35 | |11/6, 20/11, 64/35 | ||
| Line 308: | Line 308: | ||
|28 | |28 | ||
|1083.87 | |1083.87 | ||
|M7 | |||
|major 7th | |major 7th | ||
|C# | |||
|M7 | |M7 | ||
|major 7th | |major 7th | ||
|C# | |C# | ||
|28/15, 15/8 | |28/15, 15/8 | ||
| Line 318: | Line 318: | ||
|29 | |29 | ||
|1122.58 | |1122.58 | ||
|^M7 | |||
|upmajor 7th | |upmajor 7th | ||
|^C# | |^C# | ||
|d8 | |||
|dim 8ve | |dim 8ve | ||
|Db | |Db | ||
|48/25, 40/21, 21/11, 44/23 | |48/25, 40/21, 21/11, 44/23 | ||
| Line 328: | Line 328: | ||
|30 | |30 | ||
|1161.29 | |1161.29 | ||
|v8 | |||
|down-8ve | |down-8ve | ||
|vD | |vD | ||
|A7 | |||
|aug 7th | |aug 7th | ||
|Cx | |Cx | ||
|88/45, 96/49, 45/23, 125/64 | |88/45, 96/49, 45/23, 125/64 | ||
| Line 338: | Line 338: | ||
|31 | |31 | ||
|1200 | |1200 | ||
|P8 | |||
|perfect 8ve | |perfect 8ve | ||
|D | |||
|P8 | |P8 | ||
|perfect 8ve | |perfect 8ve | ||
|D | |D | ||
|2/1 | |2/1 | ||