User:Contribution/Acoustic fine-structure constant
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Edo approximations for Fine-structure constant (-8518.09 ¢)
≤ 130edo, relative error ≤ 9%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 10 |
-71\10 |
-8520.00 |
-1.91 |
-1.59
|
| 11 |
-78\11 |
-8509.09 |
+9.00 |
+8.25
|
| 20 |
-142\20 |
-8520.00 |
-1.91 |
-3.18
|
| 21 |
-149\21 |
-8514.29 |
+3.81 |
+6.66
|
| 30 |
-213\30 |
-8520.00 |
-1.91 |
-4.77
|
| 31 |
-220\31 |
-8516.13 |
+1.96 |
+5.07
|
| 40 |
-284\40 |
-8520.00 |
-1.91 |
-6.36
|
| 41 |
-291\41 |
-8517.07 |
+1.02 |
+3.49
|
| 50 |
-355\50 |
-8520.00 |
-1.91 |
-7.94
|
| 51 |
-362\51 |
-8517.65 |
+0.45 |
+1.90
|
| 61 |
-433\61 |
-8518.03 |
+0.06 |
+0.31
|
| 71 |
-504\71 |
-8518.31 |
-0.22 |
-1.28
|
| 72 |
-511\72 |
-8516.67 |
+1.43 |
+8.56
|
| 81 |
-575\81 |
-8518.52 |
-0.43 |
-2.87
|
| 82 |
-582\82 |
-8517.07 |
+1.02 |
+6.97
|
| 91 |
-646\91 |
-8518.68 |
-0.59 |
-4.46
|
| 92 |
-653\92 |
-8517.39 |
+0.70 |
+5.38
|
| 101 |
-717\101 |
-8518.81 |
-0.72 |
-6.05
|
| 102 |
-724\102 |
-8517.65 |
+0.45 |
+3.79
|
| 111 |
-788\111 |
-8518.92 |
-0.83 |
-7.64
|
| 112 |
-795\112 |
-8517.86 |
+0.24 |
+2.20
|
| 122 |
-866\122 |
-8518.03 |
+0.06 |
+0.62
|
