8edt
Jump to navigation
Jump to search
Prime factorization
23
Step size
237.744¢
Octave
5\8edt (1188.72¢)
(convergent)
Fifth
3\8edt (713.233¢)
(convergent)
Semitones (A1:m2)
1:0 (237.7¢ : 0¢)
Consistency limit
10
Distinct consistency limit
4
← 7edt | 8edt | 9edt → |
(convergent)
(convergent)
As the double of 4edt, harmonically, it is analogous to 10edo in that the harmonic chain is doubled. However, doing so does not make it a schismatic temperament like 10edo, because the full 3:5:7 triad is already present in 4edt. In any case, as a multiple of 4edt, I will say it is the widest variety of "Black-Extraterrestrial-Tree" temperament.
What it does introduce are flat pseudooctaves and sharp 3:2's, making it related to 5edo melodically.
0: 1/1 0.000 unison, perfect prime
1: 237.744 cents 237.744
2: 475.489 cents 4/3
3: 713.233 cents 713.233
4: 950.978 cents 5/3
5: 1188.722 cents 1188.722
6: 1426.466 cents 1426.466
7: 1664.211 cents 1664.211
8: 3/1 1901.955 perfect 12th