User:MisterShafXen/55ed4
Jump to navigation
Jump to search
Prime factorization
5 × 11
Step size
43.6364 ¢
Octave
28\55ed4 (1221.82 ¢)
Twelfth
44\55ed4 (1920 ¢) (→ 4\5ed4)
Consistency limit
1
Distinct consistency limit
1
| ← 53ed4 | 55ed4 | 57ed4 → |
55 equal divisions of the 4th harmonic (abbreviated 55ed4) is a nonoctave tuning system that divides the interval of 4/1 into 55 equal parts of about 43.6 ¢ each. Each step represents a frequency ratio of 41/55, or the 55th root of 4.
Intervals
| Steps | Cents | Approximate ratios | Note names (2\55) |
|---|---|---|---|
| 0 | 0 | 1/1 | C |
| 1 | 43.6 | Ct | |
| 2 | 87.3 | C# | |
| 3 | 130.9 | 14/13 | ^Db |
| 4 | 174.5 | 21/19 | vD |
| 5 | 218.2 | 25/22 | ^D |
| 6 | 261.8 | 29/25 | vD# |
| 7 | 305.5 | 25/21 | Eb |
| 8 | 349.1 | Ed | |
| 9 | 392.7 | E | |
| 10 | 436.4 | Et | |
| 11 | 480 | 25/19, 29/22, 33/25 | vF |
| 12 | 523.6 | 23/17, 27/20 | ^F |
| 13 | 567.3 | vF# | |
| 14 | 610.9 | Gb | |
| 15 | 654.5 | 19/13 | Gd |
| 16 | 698.2 | 3/2 | G |
| 17 | 741.8 | Gt | |
| 18 | 785.5 | 11/7 | G# |
| 19 | 829.1 | 21/13 | ^Ab |
| 20 | 872.7 | vA | |
| 21 | 916.4 | ^A | |
| 22 | 960 | 33/19 | vA# |
| 23 | 1003.6 | 25/14 | Bb |
| 24 | 1047.3 | Bd | |
| 25 | 1090.9 | B | |
| 26 | 1134.5 | 25/13 | Bt |
| 27 | 1178.2 | vC | |
| 28 | 1221.8 | ^C | |
| 29 | 1265.5 | 29/14 | vC# |
| 30 | 1309.1 | Db | |
| 31 | 1352.7 | Dd | |
| 32 | 1396.4 | D | |
| 33 | 1440 | Dt | |
| 34 | 1483.6 | 33/14 | D# |
| 35 | 1527.3 | vE | |
| 36 | 1570.9 | ^E | |
| 37 | 1614.5 | 33/13 | Fd |
| 38 | 1658.2 | 13/5 | F |
| 39 | 1701.8 | Ft | |
| 40 | 1745.5 | F# | |
| 41 | 1789.1 | 31/11 | ^Gb |
| 42 | 1832.7 | 26/9 | vG |
| 43 | 1876.4 | ^G | |
| 44 | 1920 | vG# | |
| 45 | 1963.6 | 28/9 | Ab |
| 46 | 2007.3 | Ad | |
| 47 | 2050.9 | A | |
| 48 | 2094.5 | At | |
| 49 | 2138.2 | A# | |
| 50 | 2181.8 | ^Bb | |
| 51 | 2225.5 | vB | |
| 52 | 2269.1 | ^B | |
| 53 | 2312.7 | 19/5 | Cd |
| 54 | 2356.4 | C | |
| 55 | 2400 |