· Prime Limit
· Octave Repeating| Scale Degree | Num | : | Den | Quotient | Cents | Tuning Table | Rounded Tuning Table | Note Name |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 | : | 1 | 1 | 0.00 | -12.04 | -12 | C |
| 2 | 16 | : | 15 | 1.066666667 | 111.73 | -0.31 | 0 | C# |
| 3 | 8 | : | 7 | 1.142857143 | 231.17 | 19.14 | 19 | D |
| 4 | 32 | : | 27 | 1.185185185 | 294.13 | -17.90 | -18 | D# |
| 5 | 32 | : | 25 | 1.28 | 427.37 | 27.37 | 15 | E |
| 6 | 4 | : | 3 | 1.333333333 | 498.04 | -13.99 | -14 | F |
| 7 | 64 | : | 45 | 1.422222222 | 609.78 | -2.26 | -2 | F# |
| 8 | 32 | : | 21 | 1.523809524 | 729.22 | 17.18 | 17 | G |
| 9 | 8 | : | 5 | 1.6 | 813.69 | 13.69 | 2 | G# |
| 10 | 128 | : | 75 | 1.706666667 | 925.42 | 13.38 | 13 | A |
| 11 | 16 | : | 9 | 1.777777778 | 996.09 | -15.95 | -16 | A# |
| 12 | 256 | : | 135 | 1.896296296 | 1107.82 | -4.22 | -4 | B |
Play Tuning
| Largest step size: | 133.24 c | (27:25) |
| Smallest step size: | 62.96 c | (28:27) |
| Number of step sizes: | 7 |
Odd limit 135
HC = 8.5
This tuning makes a slightly asymmetrical 3-D lattice, like a T with
a floppy arm:
| 7 | -- | -- | 21 | ||||||
| / | / | ||||||||
| 1 | -- | -- | 3 | -- | -- | 9 | -- | -- | 27 |
| | | | | | | | | ||||||
| 5 | -- | -- | 15 | -- | -- | 45 | -- | -- | 135 |
| | | | | ||||||||
| 25 | -- | -- | 75 |
2004 by David J. Finnamore
tuning@elvenminstrel.com