352edo
Theory
352edo is consistent to the 7-odd-limit. Using the patent val, the equal temperament tempers out 2401/2400, 15625/15552, 390625/388962, and 33554432/33480783 in the 7-limit; 3025/3024, 4375/4356, 14700/14641, 19712/19683, 41503/41472, and 131072/130977 in the 11-limit. It supports newt, world calendar, septiruthenic, enki and fortune.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.32 | -1.09 | -0.64 | +0.95 | +1.52 | +0.73 | -0.92 | -1.00 | -0.03 | +0.42 |
| Relative (%) | +0.0 | +9.3 | -31.9 | -18.9 | +28.0 | +44.5 | +21.3 | -27.0 | -29.4 | -0.9 | +12.3 | |
| Steps (reduced) |
352 (0) |
558 (206) |
817 (113) |
988 (284) |
1218 (162) |
1303 (247) |
1439 (31) |
1495 (87) |
1592 (184) |
1710 (302) |
1744 (336) | |
Subsets and supersets
352 factors into 25 × 11, with subset edos 2, 4, 8, 11, 16, 22, 32, 44, 88, and 176.
Regular temperament properties
Template:Comma basis begin |- | 2.3.5 | 15625/15552, [95 -57 -2⟩ | [⟨352 558 817]] | +0.0891 | 0.2801 | 8.22 |- | 2.3.5.7 | 2401/2400, 15625/15552, 33554432/33480783 | [⟨352 558 817 988]] | +0.1242 | 0.2500 | 7.33 Template:Comma basis end
Rank-2 temperaments
Template:Rank-2 begin
|-
| 1
| 35\352
| 119.32
| 15/14
| Septidiasemi
|-
| 1
| 65\352
| 221.59
| 8388608/7381125
| Fortune
|-
| 1
| 93\352
| 317.05
| 6/5
| Hanson
|-
| 1
| 103\352
| 351.14
| 49/40
| Newt
|-
| 4
| 93\352
(5\352)
| 317.05
(17.05)
| 6/5
(126/125)
| Quadritikleismic
|-
| 4
| 117\352
(29\352)
| 398.86
(98.86)
| 34/27
(18/17)
| World calendar
Template:Rank-2 end
Template:Orf