· Prime Limit
· Octave RepeatingThis tuning has the greatest difference between largest and smallest step size among these composite only harmonic fragment tunings.
A red number in the Rounded Tuning Table column flags it as beyond the +/-99 cent limit set by some hardware synthesizer tuning tables.
| Scale Degree | Har- monic | Ratio | Quotient | Cents | Tuning Table | Rounded Tuning Table | Note Name |
|---|---|---|---|---|---|---|---|
| 1 | 35 | 1:1 | 1 | 0.00 | -36.03 | -36 | C |
| 2 | 75 | 15:14 | 1.071428571 | 119.44 | -16.59 | -17 | C# |
| 3 | 77 | 11:10 | 1.1 | 165.00 | -71.03 | -71 | D |
| 4 | 39 | 39:35 | 1.114285714 | 187.34 | -148.69 | -149 | D# |
| 5 | 45 | 9:7 | 1.285714286 | 435.08 | -0.95 | -1 | E |
| 6 | 49 | 7:5 | 1.4 | 582.51 | 46.48 | 46 | F |
| 7 | 51 | 51:35 | 1.457142857 | 651.77 | 15.74 | 16 | F# |
| 8 | 55 | 11:7 | 1.571428571 | 782.49 | 46.46 | 46 | G |
| 9 | 57 | 57:35 | 1.628571429 | 844.33 | 8.30 | 8 | G# |
| 10 | 63 | 9:5 | 1.8 | 1017.60 | 81.57 | 82 | A |
| 11 | 65 | 13:7 | 1.857142857 | 1071.70 | 35.67 | 36 | A# |
| 12 | 69 | 69:35 | 1.971428571 | 1175.09 | 39.06 | 39 | B |
Play Tuning
| Largest step size: | 247.74 c | (15:13) |
| Smallest step size: | 22.34 c | (78:77) |
| Number of step sizes: | 12 | |
| Prime Limit: | 23 | |
| Odd Limit: | 69 | |
| HC = | 32.3 | |
2005 by David J. Finnamore
tuning@elvenminstrel.com