User:Contribution/Acoustic fine-structure constant: Difference between revisions
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Contribution (talk | contribs) Created page with "{{Interval edo approximation|interval=0.0072973525643|tolerance=9.01|max_edo=130|interval_name = Fine-structure constant}}" |
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{{Interval edo approximation|interval=0.0072973525643|tolerance=9 | {{Mathematical interest}} | ||
{{Wikipedia|Fine-structure_constant}} | |||
{{Interval edo approximation|interval=0.0072973525643|tolerance=9|max_edo=130|interval_name = Fine-structure constant}} | |||
Latest revision as of 23:50, 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 |