· 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 | 135 | : | 128 | 1.0546875 | 92.18 | -6.38 | -6 | C# |
| 3 | 9 | : | 8 | 1.125 | 203.91 | 5.35 | 5 | D |
| 4 | 75 | : | 64 | 1.171875 | 274.58 | -23.97 | -24 | D# |
| 5 | 5 | : | 4 | 1.25 | 386.31 | -12.24 | -12 | E |
| 6 | 81 | : | 64 | 1.265625 | 407.82 | -90.74 | -91 | F |
| 7 | 45 | : | 32 | 1.40625 | 590.22 | -8.33 | -8 | F# |
| 8 | 3 | : | 2 | 1.5 | 701.96 | 3.40 | 3 | G |
| 9 | 25 | : | 16 | 1.5625 | 772.63 | -25.93 | -26 | G# |
| 10 | 27 | : | 16 | 1.6875 | 905.87 | 7.31 | 7 | A |
| 11 | 15 | : | 8 | 1.875 | 1088.27 | 89.71 | 90 | A# |
| 12 | 125 | : | 64 | 1.953125 | 1158.94 | 60.38 | 60 | 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, much lower than the Full version
HC = 9.2
This tuning makes a reasonably well balanced 2-D matrix:
| 125 | ||||||||
| | | ||||||||
| 25 | -- | 75 | ||||||
| | | | | |||||||
| 5 | -- | 15 | -- | 45 | -- | 135 | ||
| | | | | | | | | |||||
| 1 | -- | 3 | -- | 9 | -- | 27 | -- | 81 |
Is it a staircase or a Stealth bomber? I'll never tell...
Copyright © 2004 by David J. Finnamore
tuning@elvenminstrel.com