A12 scale
A12 is a non-octave-repeating scale or musical tuning featuring twelve steps to the tritave. As twelve steps to the octave is based on a triad of harmonics 4:5:6, A12 is based on a triad of harmonics 4:7:10. Discovered by Heinz Bohlen between 1972 and 1973, it was named "A12" by Enrique Moreno. Bohlen considered this scale less logically consistent than the Bohlen–Pierce scale, which has thirteen steps in the twelfth.
| Step | Ratio | Audio | Cents | Audio | Cents | Difference |
| 0 | 1/1 | | 0 | | 0 | 0 |
| 1 | 11/10 | | 165.00 | | 158.50 | -6.50 |
| 2 | 6/5 | | 315.64 | | 316.99 | 1.35 |
| 3 | 30/23 | | 459.99 | | 475.49 | 15.50 |
| 4 | 10/7 | | 617.49 | | 633.99 | 16.50 |
| 5 | 11/7 | | 782.49 | | 792.48 | 9.99 |
| 6 | 7/4 | | 968.83 | | 950.98 | -17.85 |
| 7 | 21/11 | | 1119.46 | | 1109.48 | -9.99 |
| 8 | 21/10 | | 1284.47 | | 1267.97 | -16.50 |
| 9 | 23/10 | | 1441.96 | | 1426.47 | -15.49 |
| 10 | 5/2 | | 1586.31 | | 1584.97 | -1.35 |
| 11 | 11/4 | | 1751.32 | | 1743.46 | -7.86 |
| 12 | 3/1 | | 1901.96 | | 1901.96 | 0 |
