45edf
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Prime factorization
32 × 5
Step size
15.599¢
Octave
77\45edf (1201.12¢)
Twelfth
122\45edf (1903.08¢)
Consistency limit
10
Distinct consistency limit
10
| ← 44edf | 45edf | 46edf → |
Division of the just perfect fifth into 45 equal parts (45EDF) is related to 77 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 1.123 cents stretched and the step size is about 15.599 cents. The patent val has a generally sharp tendency for harmonics up to 16, with the exception for 11.
Intervals
| Degree | Cents
Value |
Approximate Ratios
in the 13-limit |
|---|---|---|
| 0 | 1/1 | |
| 1 | 15.599 | 81/80, 99/98 |
| 2 | 31.198 | 64/63, 49/48 |
| 3 | 46.797 | 33/32, 36/35 |
| 4 | 62.396 | 28/27, 27/26, 26/25 |
| 5 | 77.995 | 21/20, 22/21, 25/24 |
| 6 | 93.594 | 135/128 |
| 7 | 109.193 | 16/15 |
| 8 | 124.792 | 15/14, 14/13 |
| 9 | 140.391 | 13/12 |
| 10 | 155.99 | 12/11, 11/10 |
| 11 | 171.589 | 72/65 |
| 12 | 187.188 | 10/9 |
| 13 | 202.787 | 9/8 |
| 14 | 218.386 | 256/225 |
| 15 | 233.985 | 8/7 |
| 16 | 249.584 | 15/13 |
| 17 | 265.183 | 7/6 |
| 18 | 280.782 | 33/28 |
| 19 | 296.381 | 32/27, 13/11 |
| 20 | 311.98 | 6/5 |
| 21 | 327.579 | 98/81 |
| 22 | 343.178 | 11/9, 39/32 |
| 23 | 358.777 | 16/13 |
| 24 | 374.376 | 56/45, 26/21 |
| 25 | 389.975 | 5/4 |
| 26 | 405.574 | 33/26, 81/64 |
| 27 | 420.173 | 14/11, 32/25 |
| 28 | 436.772 | 9/7 |
| 29 | 452.371 | 13/10 |
| 30 | 467.97 | 21/16 |
| 31 | 483.569 | 120/91 |
| 32 | 499.168 | 4/3 |
| 33 | 514.767 | 27/20 |
| 34 | 530.366 | 49/36 |
| 35 | 545.965 | 11/8, 15/11 |
| 36 | 561.564 | 18/13 |
| 37 | 577.163 | 7/5 |
| 38 | 592.762 | 45/32 |
| 39 | 608.361 | 64/45 |
| 40 | 623.96 | 10/7 |
| 41 | 639.559 | 13/9 |
| 42 | 655.158 | 16/11, 22/15 |
| 43 | 670.757 | 72/49 |
| 44 | 686.356 | 40/27 |
| 45 | 701.955 | 3/2 |
| 46 | 717.554 | 91/60 |
| 47 | 733.153 | 32/21 |
| 48 | 748.752 | 20/13 |
| 49 | 764.351 | 14/9 |
| 50 | 779.95 | 11/7, 25/16 |
| 51 | 795.549 | 52/33, 128/81 |
| 52 | 818.148 | 8/5 |
| 53 | 826.747 | 45/28, 21/13 |
| 54 | 842.346 | 13/8 |
| 55 | 857.945 | 18/11, 64/39 |
| 56 | 873.544 | 81/49 |
| 57 | 889.143 | 5/3 |
| 58 | 904.742 | 27/16, 22/13 |
| 59 | 920.341 | 56/33 |
| 60 | 935.84 | 12/7 |
| 61 | 951.539 | 26/15 |
| 62 | 967.138 | 7/4 |
| 63 | 982.737 | 225/128 |
| 64 | 998.336 | 16/9 |
| 65 | 1013.935 | 9/5 |
| 66 | 1029.534 | 65/36 |
| 67 | 1045.133 | 11/6, 20/11 |
| 68 | 1060.732 | 24/13 |
| 69 | 1076.331 | 28/15 |
| 70 | 1091.93 | 15/8 |
| 71 | 1107.529 | 256/135 |
| 72 | 1123.128 | 40/21, 48/25 |
| 73 | 1138.727 | 27/14, 25/13 |
| 74 | 1154.326 | 64/33, 35/18 |
| 75 | 1169.925 | 63/32, 96/49 |
| 76 | 1185.524 | 160/81, 196/99 |
| 77 | 1201.123 | /1 |
| 78 | 1216.722 | 81/40, 99/49 |
| 79 | 1232.321 | 128/63, 49/24 |
| 80 | 1247.92 | 33/16, 72/35 |
| 81 | 1263.519 | 56/27, 27/13, 52/25 |
| 82 | 1279.118 | 21/10, 44/21,25/12 |
| 83 | 1294.717 | 135/64 |
| 84 | 1310.316 | 32/15 |
| 85 | 1325.915 | 15/7, 28/13 |
| 86 | 1341.514 | 13/6 |
| 87 | 1357.113 | 24/11, 11/5 |
| 88 | 1372.712 | 144/65 |
| 89 | 1388.311 | 20/9 |
| 90 | 1403.91 | 9/4 |