· Prime Limit
· Octave Repeating| Scale Degree | Num | : | Den | Quotient | Cents | Tuning Table | Rounded Tuning Table | Note Name |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 | : | 1 | 1 | 0.00 | 10.75 | 11 | C |
| 2 | 135 | : | 128 | 1.0546875 | 92.18 | 2.93 | 3 | C# |
| 3 | 9 | : | 8 | 1.125 | 203.91 | 14.66 | 15 | D |
| 4 | 75 | : | 64 | 1.171875 | 274.58 | -14.66 | -15 | D# |
| 5 | 5 | : | 4 | 1.25 | 386.31 | -2.93 | -3 | E |
| 6 | 675 | : | 512 | 1.318359375 | 478.49 | -10.75 | -11 | F |
| 7 | 45 | : | 32 | 1.40625 | 590.22 | 0.98 | 1 | F# |
| 8 | 3 | : | 2 | 1.5 | 701.96 | 12.71 | 13 | G |
| 9 | 25 | : | 16 | 1.5625 | 772.63 | -16.62 | -17 | G# |
| 10 | 27 | : | 16 | 1.6875 | 905.87 | 16.62 | 17 | A |
| 11 | 225 | : | 128 | 1.7578125 | 976.54 | -12.71 | -13 | A# |
| 12 | 15 | : | 8 | 1.875 | 1088.27 | -0.98 | -1 | B |
Play Tuning
| Largest step size: | 133.24 c | (27:25) |
| Smallest step size: | 70.67 c | (25:24) |
| Number of step sizes: | 4 |
Odd limit 675
HC = 6.5
This tuning makes a pretty, little 2-D periodicity block:
| 25 | -- | 75 | -- | 225 | -- | 675 |
| | | | | | | | | |||
| 5 | -- | 15 | -- | 45 | -- | 135 |
| | | | | | | | | |||
| 1 | -- | 3 | -- | 9 | -- | 27 |
2004 by David J. Finnamore
tuning@elvenminstrel.com