220edo
| ← 219edo | 220edo | 221edo → |
Theory
Using the patent val, it tempers out [20 -17 3⟩ (rodan comma) and [23 6 -14⟩ (vishnuzma) in the 5-limit; 6144/6125, 10976/10935, and 390625/388962 in the 7-limit; 1331/1323, 1375/1372, 2200/2187, and 16384/16335 in the 11-limit; 325/324, 352/351, 1001/1000, 1573/1568, and 2704/2695 in the 13-limit.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.68 | +0.96 | +2.08 | -2.09 | -0.41 | -0.53 | +2.64 | -1.32 | +2.49 | -1.69 | -1.00 |
| Relative (%) | +30.8 | +17.6 | +38.2 | -38.4 | -7.5 | -9.7 | +48.4 | -24.2 | +45.6 | -31.0 | -18.4 | |
| Steps (reduced) |
349 (129) |
511 (71) |
618 (178) |
697 (37) |
761 (101) |
814 (154) |
860 (200) |
899 (19) |
935 (55) |
966 (86) |
995 (115) | |
Subsets and supersets
Since 220 factors into 22 × 5 × 11, 220edo has subset edos 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110
Regular temperament properties
Template:Comma basis begin |- | 2.3 | [349 -220⟩ | [⟨220 349]] | −0.5304 | 0.5302 | 9.72 |- | 2.3.5 | [20 -17 3⟩, [23 6 -14⟩ | [⟨220 349 511]] | −0.4912 | 0.4364 | 8.00 |- | 2.3.5.7 | 6144/6125, 10976/10935, 390625/388962 | [⟨220 349 511 618]] | −0.5538 | 0.3932 | 7.21 Template:Comma basis end
Rank-2 temperaments
Template:Rank-2 begin
|-
| 1
| 43\220
| 234.55
| 729/640
| Rodan (5-limit)
|-
| 1
| 83\220
| 452.73
| 125/81
| Maja (5-limit)
|-
| 2
| 13\220
| 70.91
| 25/24
| Vishnu (5-limit)
|-
| 11
| 91\220
(9\220)
| 496.36
(49.09)
| 4/3
(36/35)
| Hendecatonic
|-
| 20
| 91\220
(3\220)
| 496.36
(16.36)
| 4/3
(126/125)
| Degrees
Template:Rank-2 end
Template:Orf