379edo
Theory
Using the patent val, the equal temperament tempers out 2401/2400, 5120/5103, and 10976/10935 in the 7-limit; 5632/5625, 6250/6237, 14641/14580, 42875/42768, and 43923/43904 in the 11-limit. It supports hemififths and subneutral.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.95 | -0.03 | +0.04 | -1.27 | -0.39 | -1.48 | +0.91 | -0.47 | +0.11 | +0.99 | -1.36 |
| Relative (%) | +29.9 | -1.1 | +1.2 | -40.2 | -12.5 | -46.7 | +28.8 | -14.8 | +3.5 | +31.2 | -43.0 | |
| Steps (reduced) |
601 (222) |
880 (122) |
1064 (306) |
1201 (64) |
1311 (174) |
1402 (265) |
1481 (344) |
1549 (33) |
1610 (94) |
1665 (149) |
1714 (198) | |
Subsets and supersets
379edo is the 75th prime edo.
Regular temperament properties
| Subgroup | Comma List | Mapping | Optimal 8ve Stretch (¢) |
Tuning Error | |
|---|---|---|---|---|---|
| Absolute (¢) | Relative (%) | ||||
| 2.3 | [601 -379⟩ | [⟨379 601]] | -0.2989 | 0.2988 | 9.43 |
| 2.3.5 | [35 -25 2⟩, [38 -2 -15⟩ | [⟨379 601 880]] | -0.1944 | 0.2852 | 9.01 |
| 2.3.5.7 | 5120/5103, 2401/2400, [-23 -11 15 2⟩ | [⟨379 601 880 1064]] | -0.1493 | 0.2591 | 8.18 |
| 2.3.5.7.11 | 2401/2400, 5120/5103, 5632/5625, 14641/14580 | [⟨379 601 880 1064 1311 ]] | -0.0967 | 0.2545 | 8.04 |
| 2.3.5.7.11.13 | 325/324, 1001/1000, 1716/1715, 5120/5103, 6656/6655 | [⟨379 601 880 1064 1311 1402]] (379) | -0.014 | 0.2969 | 9.38 |
Rank-2 temperaments
| Periods per 8ve |
Generator* | Cents* | Associated Ratio* |
Temperaments |
|---|---|---|---|---|
| 1 | 61\379 | 193.14 | 262144/234375 | Luna |
| 1 | 110\379 | 348.28 | 57344/46875 | Subneutral |
| 1 | 111\379 | 351.45 | 49/40 | Hemififths |
| 1 | 143\379 | 452.77 | 162/125 | Maja (5-limit) |
| 1 | 221\379 | 699.74 | 8192/6137 | Langwidge |
Scales
Music
- Subneutral Funk (2023)