7980edo: Difference between revisions
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added prime harmonics |
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[[Category:Satanic]] | [[Category:Satanic]] | ||
[[Category:Atomic]] | [[Category:Atomic]] | ||
{{Harmonics in equal|7980}} | |||
{{todo|inline=1|improve synopsis}} | |||
Latest revision as of 23:34, 20 September 2025
| ← 7979edo | 7980edo | 7981edo → |
7980EDO is the equal division of the octave into 7980 parts of exact 0.1503759 cents each. It is a very strong 5-limit system, tempering out |161 -84 -12> (Kirnberger's atom) and |-1054 665> (satanic comma), as well as |73 77 -84> and |234 -7 -96>. In the 7-limit, it tempers out 78125000/78121827, 140737488355328/140710042265625, and |-17 50 1 -23>. Using the patent val, it tempers out 9801/9800, 47265625/47258883, 39630026842637/39627113103360, and 163470238547968/163443018796875 in the 11-limit.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | -0.0001 | +0.0021 | +0.0463 | -0.0397 | +0.0738 | +0.0070 | -0.0694 | -0.0037 | +0.0469 | -0.0732 |
| Relative (%) | +0.0 | -0.1 | +1.4 | +30.8 | -26.4 | +49.1 | +4.7 | -46.2 | -2.4 | +31.2 | -48.7 | |
| Steps (reduced) |
7980 (0) |
12648 (4668) |
18529 (2569) |
22403 (6443) |
27606 (3666) |
29530 (5590) |
32618 (698) |
33898 (1978) |
36098 (4178) |
38767 (6847) |
39534 (7614) | |
|
Todo: improve synopsis |