80ed6
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Prime factorization
24 × 5
Step size
38.7744¢
Octave
31\80ed6 (1202.01¢)
Twelfth
49\80ed6 (1899.95¢)
Consistency limit
12
Distinct consistency limit
9
| ← 79ed6 | 80ed6 | 81ed6 → |
80 equal divisions of the 6th harmonic (abbreviated 80ed6) is a nonoctave tuning system that divides the interval of 6/1 into 80 equal parts of about 38.8 ¢ each. Each step represents a frequency ratio of 61/80, or the 80th root of 6.
80ED6 is related to 31edo, but with the 6/1 rather than the 2/1 being just. This stretches the octave by about 2 cents.
Lookalikes: 18edf, 31edo, 39cET, 49edt, 72ed5
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.01 | -2.01 | +4.02 | +5.45 | +0.00 | +4.55 | +6.02 | -4.02 |
| Relative (%) | +5.2 | -5.2 | +10.4 | +14.0 | +0.0 | +11.7 | +15.5 | -10.4 | |
| Steps (reduced) |
31 (31) |
49 (49) |
62 (62) |
72 (72) |
80 (0) |
87 (7) |
93 (13) |
98 (18) | |
| Harmonic | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | |
|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +7.45 | -2.45 | +2.01 | +18.53 | +6.56 | +3.44 | +8.03 | -19.38 |
| Relative (%) | +19.2 | -6.3 | +5.2 | +47.8 | +16.9 | +8.9 | +20.7 | -50.0 | |
| Steps (reduced) |
103 (23) |
107 (27) |
111 (31) |
115 (35) |
118 (38) |
121 (41) |
124 (44) |
126 (46) | |
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