3080edo
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Prime factorization
23 × 5 × 7 × 11
Step size
0.38961¢
Fifth
1802\3080 (702.078¢) (→901\1540)
Semitones (A1:m2)
294:230 (114.5¢ : 89.61¢)
Consistency limit
7
Distinct consistency limit
7
| ← 3079edo | 3080edo | 3081edo → |
3080 equal divisions of the octave (abbreviated 3080edo or 3080ed2), also called 3080-tone equal temperament (3080tet) or 3080 equal temperament (3080et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 3080 equal parts of about 0.39 ¢ each. Each step represents a frequency ratio of 21/3080, or the 3080th root of 2.
Harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.123 | +0.180 | +0.135 | -0.144 | -0.019 | -0.138 | -0.087 | -0.150 | +0.149 | -0.132 | +0.167 |
| Relative (%) | +31.5 | +46.1 | +34.7 | -36.9 | -4.9 | -35.4 | -22.3 | -38.6 | +38.3 | -33.8 | +42.9 | |
| Steps (reduced) |
4882 (1802) |
7152 (992) |
8647 (2487) |
9763 (523) |
10655 (1415) |
11397 (2157) |
12033 (2793) |
12589 (269) |
13084 (764) |
13528 (1208) |
13933 (1613) | |
 |
Todo: explain its xenharmonic value |