I tried to tune the 12 tones differently to gain more harmony. Rather than equal temperament or just intonation, I picked 7-limit tuning. Here're the tones:
C = 1/1 C♯ = 21/20 D = 10/9 D♯/E♭ = 7/6 E = 5/4 F = 4/3 F♯/G♭ = 7/5 G = 3/2 A♭ = 14/9 A = 5/3 A♯ = 7/4 C♭ = 28/15
This places the tones in a 3×2×2 grid, and approximates 12-TET well. (Like just intonation does in a 4×3 grid)
My questions are:
- Is G major chord out of tune in this tuning?
- Does B mean C♭?
- Are C7 chord and F7 chord enough to have a chord progression?
- What is the name of D♯-F♯-A♯-C chord?