35edf
Division of the just perfect fifth into 35 equal parts (35EDF) is related to 60edo, but with the 3/2 rather than the 2/1 being just. The octave is stretched by about 3.3514 cents and the step size is about 20.0559 cents (corresponding to 59.8329 edo, practically identical to every sixth step of 359edo).
| ← 34edf | 35edf | 36edf → |
The patent val has a generally sharp tendency for harmonics up to 18, with the exception for 13. Unlike 60edo, it is only consistent up to the 7-integer-limit, with discrepancy for the 8th harmonic (three octaves).
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.35 | +3.35 | +1.45 | +0.56 | +0.24 | -8.18 | +8.73 | -3.33 | +6.86 | +6.68 | -8.50 |
| Relative (%) | +16.7 | +16.7 | +7.2 | +2.8 | +1.2 | -40.8 | +43.5 | -16.6 | +34.2 | +33.3 | -42.4 | |
| Steps (reduced) |
60 (25) |
95 (25) |
139 (34) |
168 (28) |
207 (32) |
221 (11) |
245 (0) |
254 (9) |
271 (26) |
291 (11) |
296 (16) | |
Intervals
| Degrees of 60edo | Cents value | Approximate ratios in the 2.3.5.13 subgroup | Additional ratios of 7 and 11 (assuming flat values for primes) |
|---|---|---|---|
| 0 | |||
| 1 | 20.0559 | 81/80 | |
| 2 | 40.1117 | ||
| 3 | 60.1676 | 28/27, 27/26 | |
| 4 | 80.2234 | 21/20 | |
| 5 | 100.2793 | ||
| 6 | 120.3351 | 16/15 | |
| 7 | 140.391 | ||
| 8 | 160.4469 | 12/11, 11/10 | |
| 9 | 180.5027 | 10/9 | |
| 10 | 200.5586 | 9/8 | |
| 11 | 220.6144 | ||
| 12 | 240.6703 | 15/13 | 8/7 |
| 13 | 260.7621 | 7/6 | |
| 14 | 280.782 | ||
| 15 | 300.8379 | ||
| 16 | 320.8937 | 6/5 | |
| 17 | 340.9496 | 11/9 | |
| 18 | 361.0054 | 16/13 | |
| 19 | 381.0613 | 5/4 | |
| 20 | 401.1171 | ||
| 21 | 421.173 | 14/11 | |
| 22 | 441.2289 | 9/7 | |
| 23 | 461.2847 | 13/10 | |
| 24 | 481.3406 | ||
| 25 | 501.3964 | 4/3 | |
| 26 | 521.4523 | ||
| 27 | 541.5081 | 11/8, 15/11 | |
| 28 | 561.564 | 18/13 | |
| 29 | 581.6199 | 7/5 | |
| 30 | 601.6757 | ||
| 31 | 621.7315 | 10/7 | |
| 32 | 641.7874 | 13/9 | |
| 33 | 661.8433 | 16/11, 22/15 | |
| 34 | 681.8891 | ||
| 35 | 701.955 | 3/2 | |
| 36 | 722.0109 | ||
| 37 | 742.0667 | 20/13 | |
| 38 | 762.1226 | 14/9 | |
| 39 | 782.1784 | 11/7 | |
| 40 | 802.2343 | ||
| 41 | 822.2901 | 8/5 | |
| 42 | 842.346 | 13/8 | |
| 43 | 862.4019 | 18/11 | |
| 44 | 882.4577 | 5/3 | |
| 45 | 902.5136 | ||
| 46 | 922.5694 | ||
| 47 | 942.6253 | 12/7 | |
| 48 | 962.6811 | 26/15 | 7/4 |
| 49 | 982.737 | ||
| 50 | 1002.7929 | 16/9 | |
| 51 | 1022.8487 | 9/5 | |
| 52 | 1042.9046 | 11/6, 20/11 | |
| 53 | 1062.9604 | ||
| 54 | 1083.0163 | 15/8 | |
| 55 | 1103.0721 | ||
| 56 | 1123.128 | ||
| 57 | 1143.1839 | ||
| 58 | 1163.2397 | ||
| 59 | 1183.2956 | ||
| 60 | 1203.3514 | ||
| 61 | 1223.4073 | 81/40 | |
| 62 | 1243.4631 | ||
| 63 | 1263.519 | 56/27, 27/13 | |
| 64 | 1283.5749 | 21/10 | |
| 65 | 1303.6307 | ||
| 66 | 1323.6866 | 32/15 | |
| 67 | 1343.7424 | ||
| 68 | 1363.7983 | 24/11, 11/5 | |
| 69 | 1383.85415 | 20/9 | |
| 70 | 1403.91 | 9/4 | |