26edf
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Prime factorization
2 × 13
Step size
26.9983¢
Octave
44\26edf (1187.92¢) (→22\13edf)
Twelfth
70\26edf (1889.88¢) (→35\13edf)
Consistency limit
2
Distinct consistency limit
2
| ← 25edf | 26edf | 27edf → |
26EDF is the equal division of the just perfect fifth into 26 parts of 26.9983 cents each, corresponding to 44.4473 edo. It is nearly identical to every ninth step of 400edo.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -12.1 | -12.1 | +2.8 | -5.5 | +2.8 | +6.0 | -9.2 | +2.8 |
| Relative (%) | -44.7 | -44.7 | +10.5 | -20.3 | +10.5 | +22.1 | -34.2 | +10.5 | |
| Steps (reduced) |
44 (18) |
70 (18) |
89 (11) |
103 (25) |
115 (11) |
125 (21) |
133 (3) |
141 (11) | |
| Harmonic | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | |
|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +9.4 | +6.4 | -9.2 | -12.8 | -6.1 | +9.4 | +5.7 | +8.7 |
| Relative (%) | +34.9 | +23.8 | -34.2 | -47.5 | -22.7 | +34.9 | +21.1 | +32.3 | |
| Steps (reduced) |
148 (18) |
154 (24) |
159 (3) |
164 (8) |
169 (13) |
174 (18) |
178 (22) |
182 (0) | |
Intervals
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | exact 1/1 | ||
| 1 | 26.9983 | 66/65, 65/64, 64/63 | |
| 2 | 53.9965 | 33/32, 98/95 | |
| 3 | 80.9948 | 22/21 | |
| 4 | 107.9931 | 16/15 | |
| 5 | 134.9913 | ||
| 6 | 161.9896 | ||
| 7 | 188.9879 | 135/121 | |
| 8 | 215.9862 | 17/15 | |
| 9 | 242.9844 | ||
| 10 | 269.9827 | 7/6 | |
| 11 | 296.981 | 32/27, 19/16 | |
| 12 | 323.9792 | pseudo-6/5 | |
| 13 | 350.9775 | 60/49, 49/40 | |
| 14 | 377.9758 | pseudo-5/4 | |
| 15 | 404.974 | 24/19 | |
| 16 | 431.9723 | ||
| 17 | 458.9706 | ||
| 18 | 485.9688 | 45/34 | pseudo-4/3 |
| 19 | 512.9671 | 121/90 | |
| 20 | 539.9654 | ||
| 21 | 566.9637 | ||
| 22 | 593.9619 | ||
| 23 | 620.9602 | 63/44 | |
| 24 | 647.9585 | 16/11 | |
| 25 | 674.9567 | ||
| 26 | 701.955 | exact 3/2 | just perfect fifth |
| 27 | 728.9533 | 99/65, 195/128, 21/16 | |
| 28 | 755.9515 | 99/64, 147/95 | |
| 29 | 782.9498 | 11/7 | |
| 30 | 809.9481 | 8/5 | |
| 31 | 836.9463 | ||
| 32 | 863.9446 | ||
| 33 | 890.9429 | 405/242 | pseudo-5/3 |
| 34 | 917.9412 | 17/10 | |
| 35 | 944.9394 | ||
| 36 | 971.9377 | 7/4 | |
| 37 | 998.936 | 16/9, 57/32 | |
| 38 | 1025.9342 | pseudo-9/5 | |
| 39 | 1052.9325 | 90/49, 147/80 | |
| 40 | 1079.9308 | pseudo-15/8 | |
| 41 | 1106.929 | ||
| 42 | 1133.9273 | ||
| 43 | 1160.9256 | ||
| 44 | 1187.9238 | 135/98 | pseudo-2/1 |
| 45 | 1214.9221 | 121/60 | |
| 46 | 1241.9204 | ||
| 47 | 1268.9187 | ||
| 48 | 1295.9169 | ||
| 49 | 1322.9152 | 189/88 | |
| 50 | 1349.9135 | 24/11 | |
| 51 | 1376.9117 | ||
| 52 | 1403.91 | exact 9/4 | |
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