Monday, November 12, 2018

Comma ZigZag Patterns

A new 4 page file has been added to entitled Comma ZigZag Patterns which you can see here Some common comma are used to find their location on the scale tree as an example which could be explanded. Of interest is how the epimores of succeeding zigzags are used to point out the commas inherent in each the scales presented. Also Wilson points out some hidden Epimores in the scale tree. A sample below

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.