This is the smoothest twelve-tone primes-only harmonic fragment tuning, in terms of similarity of step sizes.
Scale Degree | Har- monic | Ratio | Quotient | Cents | Tuning Table | Rounded Tuning Table | Note Name |
---|---|---|---|---|---|---|---|
1 | 47 | 1:1 | 1 | 0.00 | 24.08 | 24 | C |
2 | 97 | 97:94 | 1.031914894 | 54.39 | -21.53 | -22 | C# |
3 | 101 | 101:94 | 1.074468085 | 124.35 | -51.57 | -52 | D |
4 | 53 | 53:47 | 1.127659574 | 208.00 | -67.92 | -68 | D# |
5 | 59 | 59:47 | 1.255319149 | 393.67 | 17.75 | 18 | E |
6 | 61 | 61:47 | 1.29787234 | 451.38 | -24.54 | -25 | F |
7 | 67 | 67:47 | 1.425531915 | 613.80 | 37.88 | 38 | F# |
8 | 71 | 71:47 | 1.510638298 | 714.19 | 38.27 | 38 | G |
9 | 73 | 73:47 | 1.553191489 | 762.28 | -13.63 | -14 | G# |
10 | 79 | 79:47 | 1.680851064 | 899.03 | 23.11 | 23 | A |
11 | 83 | 83:47 | 1.765957447 | 984.54 | 8.62 | 9 | A# |
12 | 89 | 89:47 | 1.893617021 | 1105.37 | 29.46 | 29 | B |
Largest step size: | 185.67 c | (59:53) |
Smallest step size: | 48.09 c | (73:71) |
Number of step sizes: | 12 |
HC = 47.4
2005 by David J. Finnamore
tuning@elvenminstrel.com