Saturday, March 31, 2018

An unusual 22 tone 7- limit tuning

Today's puzzle is 7 limit 22 tone scale based on a 1 9 15 35 set where the result in the lattice finds each factor is two simple ratio steps from each other. The center tetrad of 0. 3. 4. 20. in 22 tone step units is a 'tetrad' within a hexany whose outer points form two diamonds. The chart in the up left corner reflects Wilson interest in transforming a structure in a given tuning by multiplying the unit sizes, here limited to odd numbers in 22. The choice of units might reflect the all interval sets found in 13 here embedded in 22 as two interlocking diamonds.