Recently, I talked with someone about SET. He asked why I didn’t use 72edo instead of SET. I told him:
“Actually, 72edo would fit under the umbrella of Supplemented Equal Temperament. Really, I think of SET as a class of tunings. The tonal notes (the tonic, subdominant, octave, and to a lesser extent the supertonic) tune to equal temperament (ET). However, the modal notes (the mediant, submediant, and leading tone/subtonic) tune closer to pure than ET does.
“72edo has near pure major 3rds (383.33 cents). Also, it contains all of the equal tempered notes, so it works as an SET type tuning. In addition, this means that 48, 60, and 96edo could also be considered SET tuning systems.” [Click here for a definition of cents.]
I created none of these EDOs – they predate SET. This demonstrates the flexibility in the Supplemented Equal Temperament model to accommodate other tunings.
The charts below show the 48, 60, 72, and 96edo. Also, I’ve included rotated versions of the charts so mobile users can read them.
For best results, rotate your phone 90 degrees.