392edo
| ← 391edo | 392edo | 393edo → |
Theory
392et is consistent to the 7-odd-limit with a flat tendency in the prime harmonics. The equal temperament tempers out the parakleisma in the 5-limit; 321489/320000 (varunisma), 420175/419904 (wizma), 703125/702464 (meter), and 823543/819200 (quince comma) in the 7-limit; and 441/440, 8019/8000, 9801/9800, and 41503/41472 in the 11-limit. It supports qak and octowerck.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.93 | -0.60 | -1.48 | +1.19 | -0.30 | +1.31 | +1.53 | -0.87 | -0.57 | +0.65 | -0.72 |
| Relative (%) | -30.5 | -19.6 | -48.3 | +38.9 | -9.7 | +42.8 | +49.9 | -28.5 | -18.8 | +21.2 | -23.6 | |
| Steps (reduced) |
621 (229) |
910 (126) |
1100 (316) |
1243 (67) |
1356 (180) |
1451 (275) |
1532 (356) |
1602 (34) |
1665 (97) |
1722 (154) |
1773 (205) | |
Subsets and supersets
392 factors into 23 × 72, with subset edos 2, 4, 7, 8, 14, 28, 49, 56, 98, and 196.
Regular temperament properties
Template:Comma basis begin |- | 2.3 | [-621 392⟩ | [⟨392 621]] | +0.2948 | 0.2949 | 9.63 |- | 2.3.5 | [8 14 -13⟩, [-49 28 2⟩ | [⟨392 621 910]] | +0.2826 | 0.2414 | 7.89 |- | 2.3.5.7 | 321489/320000, 420175/419904, 703125/702464 | [⟨392 621 910 1100]] | +0.3437 | 0.2343 | 7.65 |- | 2.3.5.7.11 | 441/440, 8019/8000, 41503/41472, 703125/702464 | [⟨392 621 910 1100 1356]] | +0.2922 | 0.2335 | 7.63 Template:Comma basis end
Rank-2 temperaments
Template:Rank-2 begin
|-
| 1
| 37\392
| 113.27
| 16/15
| Misneb (5-limit)
|-
| 1
| 103\392
| 315.31
| 6/5
| Parakleismic (5-limit)
|-
| 1
| 149\392
| 456.12
| 125/96
| Qak
|-
| 8
| 185\392
(11\392)
| 566.33
(33.67)
| 104/75
(55/54)
| Octowerck (392f)
|-
| 28
| 163\392
(5\392)
| 498.98
(15.31)
| 4/3
(105/104)
| Oquatonic (5-limit)
Template:Rank-2 end
Template:Orf