· Prime Limit
· Octave Repeating| Scale Degree | Num | : | Den | Quotient | Cents | Tuning Table | Rounded Tuning Table | Note Name |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 | : | 1 | 1 | 0.00 | 68.05 | 68 | C |
| 2 | 64 | : | 63 | 1.015873016 | 27.26 | -4.68 | -5 | C# |
| 3 | 16 | : | 15 | 1.066666667 | 111.73 | -20.21 | -20 | D |
| 4 | 8 | : | 7 | 1.142857143 | 231.17 | -0.77 | -1 | D# |
| 5 | 32 | : | 27 | 1.185185185 | 294.13 | -37.81 | -38 | E |
| 6 | 32 | : | 25 | 1.28 | 427.37 | -4.57 | -5 | F |
| 7 | 4 | : | 3 | 1.333333333 | 498.04 | -33.90 | -34 | F# |
| 8 | 64 | : | 45 | 1.422222222 | 609.78 | -22.17 | -22 | G |
| 9 | 32 | : | 21 | 1.523809524 | 729.22 | -2.73 | -3 | G# |
| 10 | 8 | : | 5 | 1.6 | 813.69 | -18.26 | -18 | A |
| 11 | 16 | : | 9 | 1.777777778 | 996.09 | 64.14 | 64 | A# |
| 12 | 64 | : | 35 | 1.828571429 | 1044.86 | 12.91 | 13 | B |
Play Tuning
| Largest step size: | 182.40 | (10:9) |
| Smallest step size: | 27.26 | (64:63) |
| Number of step sizes: | 10 |
Odd limit 63
HC = 8.5
This tuning makes a 3-D lattice with just a hint of symmetry:
| 7 | -- | -- | -- | 21 | -- | -- | -- | 63 | ||||
| / | | | / | / | |||||||||
| / | 35 | / | / | |||||||||
| 1 | -- | -- | -- | 3 | -- | -- | -- | 9 | -- | -- | -- | 27 |
| | | / | | | | | |||||||||
| 5 | -- | -- | -- | 15 | -- | -- | -- | 45 | ||||
| | | ||||||||||||
| 25 |
2004 by David J. Finnamore
tuning@elvenminstrel.com