22edf
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Prime factorization
2 × 11
Step size
31.907¢
Octave
38\22edf (1212.47¢) (→19\11edf)
Twelfth
60\22edf (1914.42¢) (→30\11edf)
Consistency limit
2
Distinct consistency limit
2
| ← 21edf | 22edf | 23edf → |
22EDF is the equal division of the just perfect fifth into 22 parts of 31.907 cents each, corresponding to 37.6092 edo (similar to every fifth step of 188edo).
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +12.5 | +12.5 | -7.0 | -10.4 | -7.0 | +13.3 | +5.5 | -7.0 | +2.1 | -3.4 | +5.5 |
| Relative (%) | +39.1 | +39.1 | -21.8 | -32.6 | -21.8 | +41.7 | +17.2 | -21.8 | +6.5 | -10.7 | +17.2 | |
| Steps (reduced) |
38 (16) |
60 (16) |
75 (9) |
87 (21) |
97 (9) |
106 (18) |
113 (3) |
119 (9) |
125 (15) |
130 (20) |
135 (3) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -5.4 | -6.1 | +2.1 | -13.9 | +8.7 | +5.5 | +7.6 | +14.5 | -6.1 | +9.1 | -4.1 |
| Relative (%) | -17.1 | -19.2 | +6.5 | -43.7 | +27.4 | +17.2 | +23.9 | +45.6 | -19.2 | +28.4 | -12.8 | |
| Steps (reduced) |
139 (7) |
143 (11) |
147 (15) |
150 (18) |
154 (0) |
157 (3) |
160 (6) |
163 (9) |
165 (11) |
168 (14) |
170 (16) | |
Intervals
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | exact 1/1 | ||
| 1 | 31.907 | 55/54 | |
| 2 | 63.8141 | (28/27), (27/26) | |
| 3 | 95.7211 | ||
| 4 | 127.6282 | 14/13 | |
| 5 | 159.5352 | 57/52 | |
| 6 | 191.4423 | ||
| 7 | 223.3493 | 8/7 | |
| 8 | 255.2564 | ||
| 9 | 287.1634 | 13/11 | |
| 10 | 319.0705 | 6/5 | |
| 11 | 350.9775 | 60/49, 49/40 | |
| 12 | 382.8845 | 5/4 | |
| 13 | 414.7916 | 14/11 | |
| 14 | 446.6986 | ||
| 15 | 478.6057 | ||
| 16 | 510.5127 | ||
| 17 | 542.4198 | 26/19 | |
| 18 | 574.3268 | 39/28 | |
| 19 | 606.2339 | 64/45 | |
| 20 | 638.1409 | (13/9) | |
| 21 | 670.048 | 81/55 | |
| 22 | 701.955 | exact 3/2 | just perfect fifth |
| 23 | 733.862 | 55/36 | |
| 24 | 765.7691 | 14/9, 81/52 | |
| 25 | 797.6761 | ||
| 26 | 828.5732 | 21/13 | |
| 27 | 861.4902 | 171/104 | |
| 28 | 893.3973 | ||
| 29 | 925.3043 | 12/7 | |
| 30 | 956.2114 | ||
| 31 | 988.1184 | 39/22 | |
| 32 | 1020.0255 | 9/5 | |
| 33 | 1052.9235 | 90/49, 147/80 | |
| 34 | 1084.8395 | 15/8 | |
| 35 | 1116.7466 | 21/11 | |
| 36 | 1148.6536 | ||
| 37 | 1180.5607 | ||
| 38 | 1211.4677 | ||
| 39 | 1244.3748 | 39/19 | |
| 40 | 1276.2816 | 117/56 | |
| 41 | 1308.1889 | 32/15 | |
| 42 | 1340.0959 | 13/6 | |
| 43 | 1372.003 | 243/110 | |
| 44 | 1403.91 | exact 9/4 | |
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