Delta scale
The δ scale is a non-octave repeating musical scale. It may be regarded as the beta scale's reciprocal since it is, "as far 'down' the circle from α as β is 'up.'" As such it would split the minor second into eight equal parts of approximately 14 cents each. This would total approximately 85.7 steps per octave.
The scale step may also precisely be derived from using 50:28 to approximate the interval, which equals 6:5. Thus the step is approximately 13.946 cents and there are 86.049 per octave.
The Bohlen–Pierce delta scale is based on the tritave and the 7:5:3 "wide" triad and the 9:7:5 "narrow" triad . Notes include:
| interval name | size
| size
| just ratio | just
| error |
| minor third | 23 | 321.23 | 6:5 | 315.64 | +5.59 |
| major third | 28 | 391.06 | 5:4 | 386.31 | +4.75 |
| perfect fifth | 50 | 698.32 | 3:2 | 701.96 | -3.63 |
