84edt: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''[[Edt|Division of the third harmonic]] into 84 equal parts''' (84EDT) is practically identical to [[53edo|53 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.0430 cents stretched and the step size is about 22.6423 cents. | '''[[Edt|Division of the third harmonic]] into 84 equal parts''' (84EDT) is practically identical to [[53edo|53 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.0430 cents stretched and the step size is about 22.6423 cents. | ||
== Harmonics == | |||
{{Harmonics in equal|84|3|1|prec=2|columns=15}} | |||
[[Category:Edt]] | [[Category:Edt]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
Revision as of 12:19, 17 May 2024
| ← 83edt | 84edt | 85edt → |
(convergent)
Division of the third harmonic into 84 equal parts (84EDT) is practically identical to 53 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 0.0430 cents stretched and the step size is about 22.6423 cents.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.04 | +0.00 | +0.09 | -1.31 | +0.04 | +4.88 | +0.13 | +0.00 | -1.27 | -7.77 | +0.09 | -2.63 | +4.92 | -1.31 | +0.17 |
| Relative (%) | +0.2 | +0.0 | +0.4 | -5.8 | +0.2 | +21.6 | +0.6 | +0.0 | -5.6 | -34.3 | +0.4 | -11.6 | +21.7 | -5.8 | +0.8 | |
| Steps (reduced) |
53 (53) |
84 (0) |
106 (22) |
123 (39) |
137 (53) |
149 (65) |
159 (75) |
168 (0) |
176 (8) |
183 (15) |
190 (22) |
196 (28) |
202 (34) |
207 (39) |
212 (44) | |