43ed7
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Prime factorization
43 (prime)
Step size
78.3448¢
Octave
15\43ed7 (1175.17¢)
Twelfth
24\43ed7 (1880.27¢)
Consistency limit
3
Distinct consistency limit
3
| ← 42ed7 | 43ed7 | 44ed7 → |
Division of the 7th harmonic into 43 equal parts (43ed7) is related to Carlos Alpha, but with the 7/1 rather than the 3/2 being just. The step size is about 78.3448 cents, corresponding to 15.3169 edo.
Intervals
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 78.3448 | 23/22 | |
| 2 | 156.6896 | 35/32 | |
| 3 | 235.0344 | ||
| 4 | 313.3792 | ||
| 5 | 391.7239 | ||
| 6 | 470.0687 | 21/16 | |
| 7 | 548.4135 | ||
| 8 | 626.7583 | 56/39, 23/16 | |
| 9 | 705.1031 | ||
| 10 | 783.4479 | 11/7 | |
| 11 | 861.7927 | ||
| 12 | 940.1375 | ||
| 13 | 1018.4823 | 9/5 | |
| 14 | 1096.8270 | 32/17, 49/26 | |
| 15 | 1175.1718 | ||
| 16 | 1253.5166 | ||
| 17 | 1331.8614 | 54/25 | |
| 18 | 1410.2062 | ||
| 19 | 1488.5510 | 26/11 | |
| 20 | 1566.8958 | 42/17 | |
| 21 | 1645.2406 | ||
| 22 | 1723.5853 | ||
| 23 | 1801.9301 | 17/6 | |
| 24 | 1880.2749 | 77/26, 80/27 | |
| 25 | 1958.6197 | ||
| 26 | 2036.9645 | 175/54 | |
| 27 | 2115.3093 | ||
| 28 | 2193.6541 | ||
| 29 | 2271.9989 | 26/7, 119/32 | |
| 30 | 2350.3437 | 35/9 | |
| 31 | 2428.6884 | 65/16, 256/63 | |
| 32 | 2507.0332 | ||
| 33 | 2585.3780 | 49/11 | |
| 34 | 2663.7228 | ||
| 35 | 2742.0676 | 112/23, 39/8 | |
| 36 | 2820.4124 | ||
| 37 | 2898.7572 | 16/3 | perfect fourth plus two octaves |
| 38 | 2977.1020 | ||
| 39 | 3055.4468 | ||
| 40 | 3133.7915 | ||
| 41 | 3212.1363 | 32/5 | minor sixth plus two octaves |
| 42 | 3290.4811 | ||
| 43 | 3368.8259 | exact 7/1 | harmonic seventh plus two octaves |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -24.8 | -21.7 | +28.7 | +34.1 | +31.8 | +0.0 | +3.9 | +35.0 | +9.3 | +1.0 | +7.0 |
| Relative (%) | -31.7 | -27.7 | +36.6 | +43.5 | +40.6 | +0.0 | +4.9 | +44.7 | +11.8 | +1.2 | +8.9 | |
| Steps (reduced) |
15 (15) |
24 (24) |
31 (31) |
36 (36) |
40 (40) |
43 (0) |
46 (3) |
49 (6) |
51 (8) |
53 (10) |
55 (12) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +25.1 | -24.8 | +12.4 | -21.0 | +30.8 | +10.2 | -5.1 | -15.6 | -21.7 | -23.9 | -22.5 |
| Relative (%) | +32.1 | -31.7 | +15.9 | -26.8 | +39.3 | +13.0 | -6.5 | -19.9 | -27.7 | -30.5 | -28.7 | |
| Steps (reduced) |
57 (14) |
58 (15) |
60 (17) |
61 (18) |
63 (20) |
64 (21) |
65 (22) |
66 (23) |
67 (24) |
68 (25) |
69 (26) | |
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