8edt

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8edt

9edt →

Prime factorization	23
Step size	237.744 ¢
Octave	5\8edt (1188.72 ¢) (convergent)
Consistency limit	10
Distinct consistency limit	4

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

Prime harmonics

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