· Prime Limit
· Octave RepeatingStarting on degree 5, this tuning presents the complete sub-harmonic fragment /12-23. It makes the full series /1-24 available.
| Scale Degree | Num | : | Den | Quotient | Cents | Tuning Table | Rounded Tuning Table | Note Name |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 | : | 1 | 1 | 0.00 | -29.78 | -30 | C |
| 2 | 16 | : | 15 | 1.066666667 | 111.73 | -18.05 | -18 | C# |
| 3 | 8 | : | 7 | 1.142857143 | 231.17 | 1.39 | 1 | D |
| 4 | 16 | : | 13 | 1.230769231 | 359.47 | 29.69 | 30 | D# |
| 5 | 4 | : | 3 | 1.333333333 | 498.04 | 68.27 | 68 | E |
| 6 | 32 | : | 23 | 1.391304348 | 571.73 | 41.95 | 42 | F |
| 7 | 16 | : | 11 | 1.454545455 | 648.68 | 18.90 | 19 | F# |
| 8 | 32 | : | 21 | 1.523809524 | 729.22 | -0.56 | -1 | G |
| 9 | 8 | : | 5 | 1.6 | 813.69 | -16.09 | -16 | G# |
| 10 | 32 | : | 19 | 1.684210526 | 902.49 | -27.29 | -27 | A |
| 11 | 16 | : | 9 | 1.777777778 | 996.09 | -33.69 | -34 | A# |
| 12 | 32 | : | 17 | 1.882352941 | 1095.04 | -34.74 | -35 | B |
Play Tuning
| Largest step size: | 138.57 | (13:12) |
| Smallest step size: | 73.68 | (24:23) |
| Number of step sizes: | 12 |
HC = 19.6
| Consists of: | ||||||||
|---|---|---|---|---|---|---|---|---|
| 3 (3) | 5 (2) | 7 (2) | 11 | 13 | 17 | 19 | 23 | |
| Squares | 32 | |||||||
 | ||||||||
| Totals | 5 | 2 | 2 | 1 | 1 | 1 | 1 | 1 |
2004 by David J. Finnamore
tuning@elvenminstrel.com