84ed5
Division of the 5th harmonic into 84 equal parts (84ed5) is related to 36edo but the 5/1 rather than the 2/1 being just. The octave is compressed (about 5.8656 cents) and the step size is about 33.1704 cents.
Intervals
| degree | cents value | corresponding
JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 33.1704 | 1990656/1953125 | Valentine comma |
| 2 | 66.3408 | ||
| 3 | 99.5112 | 256/243 | limma |
| 4 | 132.6816 | 27/25 | large limma, BP small semitone, Zarlino semitone |
| 5 | 165.8520 | ||
| 6 | 199.0224 | pseudo-9/8 | |
| 7 | 232.1928 | ||
| 8 | 265.3632 | ||
| 9 | 298.5336 | pseudo-32/27 | |
| 10 | 331.7040 | ||
| 11 | 364.8744 | 100/81 | grave major third |
| 12 | 398.0448 | pseudo-81/64 | |
| 13 | 431.2152 | ||
| 14 | 464.3856 | ||
| 15 | 497.5560 | pseudo-4/3 | |
| 16 | 530.7264 | ||
| 17 | 563.8968 | ||
| 18 | 597.0672 | ||
| 19 | 630.2376 | ||
| 20 | 663.4080 | ||
| 21 | 696.5784 | pseudo-3/2 | |
| 22 | 729.7488 | ||
| 23 | 762.9192 | ||
| 24 | 796.0896 | pseudo-128/81 | |
| 25 | 829.2600 | ||
| 26 | 862.4304 | 400/243 | grave major sixth |
| 27 | 895.6008 | pseudo-27/16 | |
| 28 | 928.7712 | ||
| 29 | 961.9416 | ||
| 30 | 995.1120 | pseudo-16/9 | |
| 31 | 1028.2824 | ||
| 32 | 1061.4528 | ||
| 33 | 1094.6232 | ||
| 34 | 1127.7936 | ||
| 35 | 1160.9640 | ||
| 36 | 1194.1344 | pseudo-2/1 | |
| 37 | 1227.3049 | 128/63 | septimal comma, Archytas' comma plus one octave |
| 38 | 1260.4753 | 524288/253125 | Passion comma plus one octave |
| 39 | 1293.6457 | ||
| 40 | 1326.8161 | ||
| 41 | 1359.9865 | ||
| 42 | 1393.1569 | ||
| 43 | 1426.3273 | 729/320 | acute major second plus one octave |
| 44 | 1459.4977 | ||
| 45 | 1492.6681 | ||
| 46 | 1525.8385 | ||
| 47 | 1559.0089 | ||
| 48 | 1592.1793 | ||
| 49 | 1625.3497 | ||
| 50 | 1658.5201 | ||
| 51 | 1691.6905 | ||
| 52 | 1724.8609 | ||
| 53 | 1758.0313 | ||
| 54 | 1791.2017 | ||
| 55 | 1824.3721 | ||
| 56 | 1857.5425 | ||
| 57 | 1890.7129 | ||
| 58 | 1923.8833 | 243/80 | acute fifth plus one octave |
| 59 | 1957.0537 | ||
| 60 | 1990.2241 | ||
| 61 | 2023.3945 | ||
| 62 | 2056.5649 | ||
| 63 | 2089.7353 | ||
| 64 | 2122.9057 | ||
| 65 | 2156.0761 | ||
| 66 | 2189.2465 | ||
| 67 | 2222.4169 | ||
| 68 | 2255.5873 | ||
| 69 | 2288.7577 | ||
| 70 | 2321.9281 | ||
| 71 | 2355.0985 | ||
| 72 | 2388.2689 | ||
| 73 | 2421.4393 | 81/20 | syntonic comma, Didymus comma plus two octaves |
| 74 | 2454.6097 | ||
| 75 | 2487.7801 | ||
| 76 | 2520.9505 | ||
| 77 | 2554.1209 | 2187/500 | Gorgo limma plus two octaves |
| 78 | 2587.2913 | ||
| 79 | 2620.4617 | ||
| 80 | 2653.6321 | ||
| 81 | 2686.8025 | ||
| 82 | 2719.9729 | ||
| 83 | 2753.1433 | ||
| 84 | 2786.3137 | exact 5/1 | just major third plus two octaves |
Music
- Not From This World by Francium