439edo
| ← 438edo | 439edo | 440edo → |
Theory
439et tempers out 703125/702464 in the 7-limit; 55296000/55240493, 100663296/100656875, 820125/819896, 2097152/2096325, 759375/758912, 131072/130977, 352947/352000, 85937500/85766121, 1879453125/1879048192, 184549376/184528125, 184877/184320, 3025/3024 and 1771561/1771470 in the 11-limit.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.55 | -0.89 | -1.17 | +0.85 | -1.35 | -1.08 | +0.44 | +0.43 | +0.95 | +0.29 |
| Relative (%) | +0.0 | +20.1 | -32.6 | -42.9 | +31.0 | -49.3 | -39.6 | +16.0 | +15.6 | +34.6 | +10.8 | |
| Steps (reduced) |
439 (0) |
696 (257) |
1019 (141) |
1232 (354) |
1519 (202) |
1624 (307) |
1794 (38) |
1865 (109) |
1986 (230) |
2133 (377) |
2175 (419) | |
Subsets and supersets
439edo is the 85th prime edo.
Regular temperament properties
| Subgroup | Comma List | Mapping | Optimal 8ve Stretch (¢) |
Tuning Error | |
|---|---|---|---|---|---|
| Absolute (¢) | Relative (%) | ||||
| 2.3 | [696 -439⟩ | ⟨439 696] | -0.1737 | 0.1737 | 6.35 |
| 2.3.15 | 15625/15552, [121 -64 -5⟩ | ⟨439 696 1715] | -0.0867 | 0.1878 | 6.87 |
| 2.3.15.35 | 5120/5103, 15625/15552, 1992903750/1977326743 | ⟨439 696 1715 2252] | -0.0976 | 0.1637 | 5.99 |
| 2.3.15.35.11 | 540/539, 5120/5103, 15625/15552, 43923/43904 | ⟨439 696 1715 2252 1519] | -0.1270 | 0.1578 | 5.77 |
| 2.3.15.35.11.65 | 540/539, 1716/1715, 5120/5103, 4225/4224, 81675/81536 | ⟨439 696 1715 2252 1519 2644] | -0.1195 | 0.1450 | 5.30 |