49edt: Difference between revisions
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'''[[Edt|Division of the third harmonic]] into 49 equal parts''' (49EDT) is related to [[31edo|31 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 3.2777 cents stretched and the step size about 38.8154 cents. It is consistent through the [[11-odd-limit|12-integer limit]]. | '''[[Edt|Division of the third harmonic]] into 49 equal parts''' (49EDT) is related to [[31edo|31 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 3.2777 cents stretched and the step size about 38.8154 cents. It is consistent through the [[11-odd-limit|12-integer limit]]. | ||
==Harmonics== | |||
{{Harmonics in equal|49|3|1|prec=2|columns=15}} | |||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
Revision as of 14:56, 9 May 2024
| ← 48edt | 49edt | 50edt → |
Division of the third harmonic into 49 equal parts (49EDT) is related to 31 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 3.2777 cents stretched and the step size about 38.8154 cents. It is consistent through the 12-integer limit.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.28 | +0.00 | +6.56 | +8.40 | +3.28 | +8.11 | +9.83 | +0.00 | +11.67 | +1.93 | +6.56 | -15.57 | +11.39 | +8.40 | +13.11 |
| Relative (%) | +8.4 | +0.0 | +16.9 | +21.6 | +8.4 | +20.9 | +25.3 | +0.0 | +30.1 | +5.0 | +16.9 | -40.1 | +29.3 | +21.6 | +33.8 | |
| Steps (reduced) |
31 (31) |
49 (0) |
62 (13) |
72 (23) |
80 (31) |
87 (38) |
93 (44) |
98 (0) |
103 (5) |
107 (9) |
111 (13) |
114 (16) |
118 (20) |
121 (23) |
124 (26) | |