44edo: Difference between revisions
→Regular temperament properties: review. - those covered by 22edo |
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| Line 25: | Line 25: | ||
! Degrees | ! Degrees | ||
! Cents | ! Cents | ||
!Approximate JI ratios | |||
! colspan="3" | [[Ups and downs notation]] | ! colspan="3" | [[Ups and downs notation]] | ||
|- | |- | ||
| 0 | | 0 | ||
| 0.000 | | 0.000 | ||
|1/1 | |||
| Perfect 1sn | | Perfect 1sn | ||
| P1 | | P1 | ||
| Line 35: | Line 37: | ||
| 1 | | 1 | ||
| 27.273 | | 27.273 | ||
|64/63 | |||
| Up 1sn | | Up 1sn | ||
| ^1 | | ^1 | ||
| Line 41: | Line 44: | ||
| 2 | | 2 | ||
| 54.545 | | 54.545 | ||
|33/32 | |||
| Minor 2nd | | Minor 2nd | ||
| m2 | | m2 | ||
| Line 47: | Line 51: | ||
| 3 | | 3 | ||
| 81.818 | | 81.818 | ||
|23/22 | |||
| Upminor 2nd | | Upminor 2nd | ||
| ^m2 | | ^m2 | ||
| Line 53: | Line 58: | ||
| 4 | | 4 | ||
| 109.091 | | 109.091 | ||
|16/15 | |||
| Dupminor 2nd, Downmid 2nd | | Dupminor 2nd, Downmid 2nd | ||
| ^^m2, v~2 | | ^^m2, v~2 | ||
| Line 59: | Line 65: | ||
| 5 | | 5 | ||
| 136.364 | | 136.364 | ||
|69/64 | |||
| Mid 2nd | | Mid 2nd | ||
| ~2 | | ~2 | ||
| Line 65: | Line 72: | ||
| 6 | | 6 | ||
| 163.636 | | 163.636 | ||
|11/10 | |||
| Dudmajor 2nd, Upmid 2nd | | Dudmajor 2nd, Upmid 2nd | ||
| vvM2, ^~2 | | vvM2, ^~2 | ||
| Line 71: | Line 79: | ||
| 7 | | 7 | ||
| 190.909 | | 190.909 | ||
|28/25 | |||
| Downmajor 2nd | | Downmajor 2nd | ||
| vM2 | | vM2 | ||
| Line 77: | Line 86: | ||
| 8 | | 8 | ||
| 218.182 | | 218.182 | ||
|9/8 | |||
| Major 2nd | | Major 2nd | ||
| M2 | | M2 | ||
| Line 83: | Line 93: | ||
| 9 | | 9 | ||
| 245.455 | | 245.455 | ||
|8/7 | |||
| Upmajor 2nd, Downminor 3rd | | Upmajor 2nd, Downminor 3rd | ||
| ^M2, vm3 | | ^M2, vm3 | ||
| Line 89: | Line 100: | ||
| 10 | | 10 | ||
| 272.727 | | 272.727 | ||
|7/6, 32/27 | |||
| Minor 3rd | | Minor 3rd | ||
| m3 | | m3 | ||
| Line 95: | Line 107: | ||
| 11 | | 11 | ||
| 300.000 | | 300.000 | ||
|19/16 | |||
| Upminor 3rd | | Upminor 3rd | ||
| ^m3 | | ^m3 | ||
| Line 101: | Line 114: | ||
| 12 | | 12 | ||
| 327.273 | | 327.273 | ||
|11/9, 76/63 | |||
| Dupminor 3rd, Downmid 3rd | | Dupminor 3rd, Downmid 3rd | ||
| ^^m3, v~3 | | ^^m3, v~3 | ||
| Line 107: | Line 121: | ||
| 13 | | 13 | ||
| 354.545 | | 354.545 | ||
|16/13 | |||
| Mid 3rd | | Mid 3rd | ||
| ~3 | | ~3 | ||
| Line 113: | Line 128: | ||
| 14 | | 14 | ||
| 381.818 | | 381.818 | ||
|5/4 | |||
| Dudmajor 3rd, Upmid 3rd | | Dudmajor 3rd, Upmid 3rd | ||
| vvM3, ^~3 | | vvM3, ^~3 | ||
| Line 119: | Line 135: | ||
| 15 | | 15 | ||
| 409.091 | | 409.091 | ||
|80/63 | |||
| Downmajor 3rd | | Downmajor 3rd | ||
| vM3 | | vM3 | ||
| Line 125: | Line 142: | ||
| 16 | | 16 | ||
| 436.364 | | 436.364 | ||
|81/64, 9/7 | |||
| Major 3rd | | Major 3rd | ||
| M3 | | M3 | ||
| Line 131: | Line 149: | ||
| 17 | | 17 | ||
| 463.636 | | 463.636 | ||
|21/16 | |||
| Upmajor 3rd, Down 4th | | Upmajor 3rd, Down 4th | ||
| ^M3, v4 | | ^M3, v4 | ||
| Line 137: | Line 156: | ||
| 18 | | 18 | ||
| 490.909 | | 490.909 | ||
|4/3 | |||
| Perfect 4th | | Perfect 4th | ||
| P4 | | P4 | ||
| Line 143: | Line 163: | ||
| 19 | | 19 | ||
| 518.182 | | 518.182 | ||
|4/3? | |||
| Up 4th | | Up 4th | ||
| ^4 | | ^4 | ||
| Line 149: | Line 170: | ||
| 20 | | 20 | ||
| 545.455 | | 545.455 | ||
|11/8 | |||
| Dup 4th, Downmid 4th, Dim 5th | | Dup 4th, Downmid 4th, Dim 5th | ||
| ^^4, v~4, d5 | | ^^4, v~4, d5 | ||
| Line 155: | Line 177: | ||
| 21 | | 21 | ||
| 572.727 | | 572.727 | ||
|7/5 | |||
| Mid 4th, Updim 5th | | Mid 4th, Updim 5th | ||
| ~4, ^d5 | | ~4, ^d5 | ||
| Line 161: | Line 184: | ||
| 22 | | 22 | ||
| 600.000 | | 600.000 | ||
|99/70, 140/99 | |||
| Upmid 4th, Downmid 5th | | Upmid 4th, Downmid 5th | ||
| ^~4, v~5 | | ^~4, v~5 | ||
| Line 167: | Line 191: | ||
| 23 | | 23 | ||
| 627.273 | | 627.273 | ||
|10/7 | |||
| Downaug 4th, Mid 5th | | Downaug 4th, Mid 5th | ||
| vA4, ~5 | | vA4, ~5 | ||
| Line 173: | Line 198: | ||
| 24 | | 24 | ||
| 654.545 | | 654.545 | ||
|16/11 | |||
| Aug 4th, Upmid 5th, Dud 5th | | Aug 4th, Upmid 5th, Dud 5th | ||
| A4, ^~5, vv5 | | A4, ^~5, vv5 | ||
| Line 179: | Line 205: | ||
| 25 | | 25 | ||
| 681.818 | | 681.818 | ||
|3/2? | |||
| Down 5th | | Down 5th | ||
| v5 | | v5 | ||
| Line 185: | Line 212: | ||
| 26 | | 26 | ||
| 709.091 | | 709.091 | ||
|3/2 | |||
| Perfect 5th | | Perfect 5th | ||
| P5 | | P5 | ||
| Line 191: | Line 219: | ||
| 27 | | 27 | ||
| 736.364 | | 736.364 | ||
|32/21 | |||
| Up 5th, Downminor 6th | | Up 5th, Downminor 6th | ||
| ^5, vm6 | | ^5, vm6 | ||
| Line 197: | Line 226: | ||
| 28 | | 28 | ||
| 763.636 | | 763.636 | ||
|14/9 | |||
| Minor 6th | | Minor 6th | ||
| m6 | | m6 | ||
| Line 203: | Line 233: | ||
| 29 | | 29 | ||
| 790.909 | | 790.909 | ||
|128/81 | |||
| Upminor 6th | | Upminor 6th | ||
| ^m6 | | ^m6 | ||
| Line 209: | Line 240: | ||
| 30 | | 30 | ||
| 818.182 | | 818.182 | ||
|8/5 | |||
| Dupminor 6th, Downmid 6th | | Dupminor 6th, Downmid 6th | ||
| ^^m6, v~6 | | ^^m6, v~6 | ||
| Line 215: | Line 247: | ||
| 31 | | 31 | ||
| 845.455 | | 845.455 | ||
|13/8 | |||
| Mid 6th | | Mid 6th | ||
| ~6 | | ~6 | ||
| Line 221: | Line 254: | ||
| 32 | | 32 | ||
| 872.727 | | 872.727 | ||
|5/3 | |||
| Dudmajor 6th, Upmid 6th | | Dudmajor 6th, Upmid 6th | ||
| vvM6, ^~6 | | vvM6, ^~6 | ||
| Line 227: | Line 261: | ||
| 33 | | 33 | ||
| 900.000 | | 900.000 | ||
|27/16 | |||
| Downmajor 6th | | Downmajor 6th | ||
| vM6 | | vM6 | ||
| Line 233: | Line 268: | ||
| 34 | | 34 | ||
| 927.273 | | 927.273 | ||
|12/7 | |||
| Major 6th | | Major 6th | ||
| M6 | | M6 | ||
| Line 239: | Line 275: | ||
| 35 | | 35 | ||
| 954.545 | | 954.545 | ||
|7/4? | |||
| Upmajor 6th, Downminor 7th | | Upmajor 6th, Downminor 7th | ||
| ^M6, vm7 | | ^M6, vm7 | ||
| Line 245: | Line 282: | ||
| 36 | | 36 | ||
| 981.818 | | 981.818 | ||
|7/4, 16/9 | |||
| Minor 7th | | Minor 7th | ||
| m7 | | m7 | ||
| Line 251: | Line 289: | ||
| 37 | | 37 | ||
| 1009.091 | | 1009.091 | ||
|9/5 | |||
| Upminor 7th | | Upminor 7th | ||
| ^m7 | | ^m7 | ||
| Line 257: | Line 296: | ||
| 38 | | 38 | ||
| 1036.364 | | 1036.364 | ||
|20/11 | |||
| Dupminor 7th, Downmid 7th | | Dupminor 7th, Downmid 7th | ||
| ^^m7, v~7 | | ^^m7, v~7 | ||
| Line 263: | Line 303: | ||
| 39 | | 39 | ||
| 1063.636 | | 1063.636 | ||
|37/20 | |||
| Mid 7th | | Mid 7th | ||
| ~7 | | ~7 | ||
| Line 269: | Line 310: | ||
| 40 | | 40 | ||
| 1090.909 | | 1090.909 | ||
|15/8 | |||
| Dudmajor 7th, Upmid 7th | | Dudmajor 7th, Upmid 7th | ||
| vvM7, ^~7 | | vvM7, ^~7 | ||
| Line 275: | Line 317: | ||
| 41 | | 41 | ||
| 1118.182 | | 1118.182 | ||
|40/21 | |||
| Downmajor 7th | | Downmajor 7th | ||
| vM7 | | vM7 | ||
| Line 281: | Line 324: | ||
| 42 | | 42 | ||
| 1145.455 | | 1145.455 | ||
|27/14, 31/16 | |||
| Major 7th | | Major 7th | ||
| M7 | | M7 | ||
| Line 287: | Line 331: | ||
| 43 | | 43 | ||
| 1172.727 | | 1172.727 | ||
|63/32 | |||
| Upmajor 7th, Down 8ve | | Upmajor 7th, Down 8ve | ||
| ^M7, v8 | | ^M7, v8 | ||
| Line 293: | Line 338: | ||
| 44 | | 44 | ||
| 1200.000 | | 1200.000 | ||
|2/1 | |||
| Perfect 8ve | | Perfect 8ve | ||
| P8 | | P8 | ||