47ed4
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Prime factorization
47 (prime)
Step size
51.0638¢
Octave
24\47ed4 (1225.53¢)
Twelfth
37\47ed4 (1889.36¢)
Consistency limit
1
Distinct consistency limit
1
| ← 45ed4 | 47ed4 | 49ed4 → |
47ed4 is an equal tuning that divides the 4/1 ratio (double-octave, tetratave, fifteenth) into steps of 51+(3/47) cents. It does very well on the 4.7.10.13 subgroup, and is an excellent tuning of Nelindic temperament.
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +25.5 | -12.6 | +0.0 | +22.2 | +12.9 | +1.4 | +25.5 | -25.2 | -3.3 | -15.1 | -12.6 | +2.0 | -24.1 | +9.6 |
| Relative (%) | +50.0 | -24.7 | +0.0 | +43.5 | +25.3 | +2.7 | +50.0 | -49.3 | -6.5 | -29.7 | -24.7 | +4.0 | -47.3 | +18.8 | |
| Steps (reduced) |
24 (24) |
37 (37) |
47 (0) |
55 (8) |
61 (14) |
66 (19) |
71 (24) |
74 (27) |
78 (31) |
81 (34) |
84 (37) |
87 (40) |
89 (42) |
92 (45) | |