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'''32EDF''' is the [[EDF|equal division of the just perfect fifth]] into 32 parts of 21.9361 [[cent|cents]] each, corresponding to 54.7044 [[edo]] (similar to every seventh step of [[383edo]]). It is related to the regular temperament which tempers out |127 -127 32> in the 5-limit, which is supported by 164, 383, 547, 711, 875, and 1258 EDOs. | '''32EDF''' is the [[EDF|equal division of the just perfect fifth]] into 32 parts of 21.9361 [[cent|cents]] each, corresponding to 54.7044 [[edo]] (similar to every seventh step of [[383edo]]). It is related to the regular temperament which tempers out |127 -127 32> in the 5-limit, which is supported by 164, 383, 547, 711, 875, and 1258 EDOs. | ||
Revision as of 18:41, 5 October 2022
| ← 31edf | 32edf | 33edf → |
32EDF is the equal division of the just perfect fifth into 32 parts of 21.9361 cents each, corresponding to 54.7044 edo (similar to every seventh step of 383edo). It is related to the regular temperament which tempers out |127 -127 32> in the 5-limit, which is supported by 164, 383, 547, 711, 875, and 1258 EDOs.
Intervals
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | exact 1/1 | ||
| 1 | 21.9361 | 81/80 | |
| 2 | 43.8722 | 40/39 | |
| 3 | 65.8083 | 27/26, 28/27 | |
| 4 | 87.7444 | ||
| 5 | 109.6805 | 49/46, 16/15 | |
| 6 | 131.6166 | 41/38 | |
| 7 | 153.5527 | 59/54, 18/11 | |
| 8 | 175.4888 | ||
| 9 | 197.4248 | 65/58 | |
| 10 | 219.3609 | 42/37 | |
| 11 | 241.297 | (23/20) | |
| 12 | 263.2331 | 7/6 | |
| 13 | 285.1692 | ||
| 14 | 307.1053 | 117/98 | |
| 15 | 329.0414 | 52/43 | |
| 16 | 350.9775 | 60/49, 49/40 | |
| 17 | 372.9136 | 129/104 | |
| 18 | 394.8497 | 49/39 | |
| 19 | 416.7858 | 14/11 | |
| 20 | 438.7219 | 9/7 | |
| 21 | 460.6580 | (30/23) | |
| 22 | 482.5941 | 37/28 | |
| 23 | 504.5302 | 87/65 | pseudo-4/3 |
| 24 | 526.4663 | 61/45 | |
| 25 | 548.4023 | 81/59 | |
| 26 | 570.3384 | 57/41 | |
| 27 | 592.2745 | 69/49 | |
| 28 | 614.2106 | 10/7 | |
| 29 | 636.1467 | 13/9 | |
| 30 | 658.0828 | 117/80 | |
| 31 | 680.0189 | 40/27 | |
| 32 | 701.9550 | exact 3/2 | just perfect fifth |
| 33 | 723.8911 | 243/160 | |
| 34 | 745.8372 | 20/13 | |
| 35 | 766.7633 | 81/52, 14/9 | |
| 36 | 790.6994 | ||
| 37 | 811.6355 | 147/92, 8/5 | |
| 38 | 833.5716 | 123/76 | |
| 39 | 855.5077 | 59/36, 18/11 | |
| 40 | 877.4438 | ||
| 41 | 899.3798 | 195/116 | |
| 42 | 922.3159 | 63/37 | |
| 43 | 943.252 | 69/40 | |
| 44 | 965.1881 | 7/4 | |
| 45 | 987.1242 | ||
| 46 | 1009.0603 | 351/196 | |
| 47 | 1030.9964 | 78/43 | |
| 48 | 1052.9325 | 90/49, 147/80 | |
| 49 | 1076.8686 | 387/208 | |
| 50 | 1096.847 | 147/78 | |
| 51 | 1118.7408 | 21/11 | |
| 52 | 1140.6769 | 27/14 | |
| 53 | 1162.613 | 45/23 | |
| 54 | 1184.5451 | 111/56 | |
| 55 | 1206.4852 | 261/130 | pseudo-2/1 |
| 56 | 1228.4213 | 61/30 | |
| 57 | 1250.3575 | 243/118 | |
| 58 | 1272.2934 | 171/82 | |
| 59 | 1294.2395 | 207/98 | |
| 60 | 1316.1656 | 15/7 | |
| 61 | 1338.1017 | 13/6 | |
| 62 | 1360.0378 | 351/160 | |
| 63 | 1381.9739 | 20/9 | |
| 64 | 1403.91 | exact 9/4 | |