8edt: Difference between revisions
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As the double of [[4edt|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. | As the double of [[4edt|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. | ||
Revision as of 19:43, 5 October 2022
| ← 7edt | 8edt | 9edt → |
(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