379edo
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Prime factorization
379 (prime)
Step size
3.16623¢
Fifth
222\379 (702.902¢)
Semitones (A1:m2)
38:27 (120.3¢ : 85.49¢)
Consistency limit
7
Distinct consistency limit
7
| ← 378edo | 379edo | 380edo → |
379 equal divisions of the octave (379edo), or 379-tone equal temperament (379tet), 379 equal temperament (379et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 379 equal parts of about 3.17 ¢ each.
Theory
379 tempers out 4096000/4084101, 5120/5103 and 2401/2400 in the 7-limit; 2097152/2096325, 1953125/1951488, 6250/6237, 42875/42768, 5767168/5764801, 180224/180075, 5632/5625, 537109375/536870912, 422576/421875, 9453125/9437184, 166375/165888, 67110351/67108864, 3294225/3294172, 43923/43904, 102487/102400, 20614528/20588575, 644204/643125 and 781258401/781250000 in the 11-limit. It provides the optimal patent val for the subneutral temperament. 379edo is the 75th prime edo.
| 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 (%) | +30 | -1 | +1 | -40 | -12 | -47 | +29 | -15 | +4 | +31 | -43 | |
| Steps (reduced) |
601 (222) |
880 (122) |
1064 (306) |
1201 (64) |
1311 (174) |
1402 (265) |
1481 (344) |
1549 (33) |
1610 (94) |
1665 (149) |
1714 (198) | |
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 | 5120/5103, 5632/5625, 2401/2400, 166375/165888 | ⟨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] | -0.014 | 0.2969 | 9.38 |
Rank-2 temperaments
| Periods per 8ve |
Generator (reduced) |
Cents (reduced) |
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 |
| 1 | 221\379 | 699.74 | 8192/6137 | Langwidge |
Scales
Music
- Subneutral Funk by Francium