User:Contribution/Acoustic fine-structure constant: Difference between revisions
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{{Mathematical interest}} | |||
{{Interval edo approximation|interval=0.0072973525643|tolerance=9|max_edo=130|interval_name = Fine-structure constant}} | {{Interval edo approximation|interval=0.0072973525643|tolerance=9|max_edo=130|interval_name = Fine-structure constant}} | ||
Revision as of 23:48, 25 March 2026
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This page presents a topic of primarily mathematical interest.
While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown. |
| 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 |