· Prime Limit
· Octave Repeating| Scale Degree | Num | : | Den | Quotient | Cents | Tuning Table | Rounded Tuning Table | Note Name |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 | : | 1 | 1 | 0.00 | -1.44 | -1 | C |
| 2 | 128 | : | 125 | 1.024 | 41.06 | -60.38 | -60 | C# |
| 3 | 16 | : | 15 | 1.066666667 | 111.73 | -89.71 | -90 | D |
| 4 | 32 | : | 27 | 1.185185185 | 294.13 | -7.31 | -7 | D# |
| 5 | 32 | : | 25 | 1.28 | 427.37 | 25.93 | 26 | E |
| 6 | 4 | : | 3 | 1.333333333 | 498.04 | -3.40 | -3 | F |
| 7 | 64 | : | 45 | 1.422222222 | 609.78 | 8.33 | 8 | F# |
| 8 | 128 | : | 81 | 1.580246914 | 792.18 | 90.74 | 91 | G |
| 9 | 8 | : | 5 | 1.6 | 813.69 | 12.24 | 12 | G# |
| 10 | 128 | : | 75 | 1.706666667 | 925.42 | 23.97 | 24 | A |
| 11 | 16 | : | 9 | 1.777777778 | 996.09 | -5.35 | -5 | A# |
| 12 | 256 | : | 135 | 1.896296296 | 1107.82 | 6.38 | 6 | B |
Play Tuning
| Largest step size: | 182.40 c | (10:9) |
| Smallest step size: | 21.51 c | (81:80) |
| Number of step sizes: | 7 |
Odd limit 135
HC = 9.2
This tuning makes a nearly symmetrical 2-D matrix:
| 1 | -- | 3 | -- | 9 | -- | 27 | -- | 81 |
| | | | | | | | | |||||
| 5 | -- | 15 | -- | 45 | -- | 135 | ||
| | | | | |||||||
| 25 | -- | 75 | ||||||
| | | ||||||||
| 125 |
2004 by David J. Finnamore
tuning@elvenminstrel.com