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| == Approximations by edos == | | == Approximations by edos == |
| Following [[edo]]s (up to 200, and also 643) contain good approximations<ref>error magnitude below 7, both, absolute (in ¢) and relative (in r¢)</ref> of the interval 5/4. Errors are given by magnitude, the arrows in the table show if the edo representation is sharp (↑) or flat (↓). | | Following [[edo]]s (up to 200) contain good approximations<ref>error magnitude below 7, both, absolute (in ¢) and relative (in r¢)</ref> of the interval 5/4. . |
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| {| class="wikitable sortable right-1 center-2 right-3 right-4 center-5" | | {{Interval_Edo_Approximation | interval = 5/4| max_edo=200}} |
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| ! [[Edo]]
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| ! class="unsortable" | deg\edo
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| ! Absolute <br> error ([[Cent|¢]])
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| ! Relative <br> error ([[Relative cent|r¢]])
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| ! ↕
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| ! class="unsortable" | Equally acceptable multiples <ref>Super-edos up to 200 within the same error tolerance</ref>
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| | [[25edo|25]] || 8\25 || 2.3137 || 4.8202 || ↓ ||
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| | [[28edo|28]] || 9\28 || 0.5994 || 1.3987 || ↓ || [[56edo|18\56]], [[84edo|27\84]], [[112edo|36\112]], [[140edo|45\140]]
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| | [[31edo|31]] || 10\31 || 0.7831 || 2.0229 || ↑ || [[62edo|20\62]], [[93edo|30\93]]
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| | [[34edo|34]] || 11\34 || 1.9216 || 5.4445 || ↑ ||
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| | [[53edo|53]] || 17\53 || 1.4081 || 6.2189 || ↓ ||
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| | [[59edo|59]] || 19\59 || 0.1270 || 0.6242 || ↑ || [[118edo|38\118]], [[177edo|57\177]]
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| | [[87edo|87]] || 28\87 || 0.1068 || 0.7744 || ↓ || [[174edo|56\174]]
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| | [[90edo|90]] || 29\90 || 0.3530 || 2.6471 || ↑ || [[180edo|58\180]]
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| | [[115edo|115]] || 37\115 || 0.2268 || 2.1731 || ↓ ||
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| | [[121edo|121]] || 39\121 || 0.4631 || 4.6701 || ↑ ||
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| | [[143edo|143]] || 46\143 || 0.2997 || 3.5718 || ↓ ||
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| | [[146edo|146]] || 47\146 || 0.0123 || 0.1502 || ↓ ||
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| | [[149edo|149]] || 48\149 || 0.2635 || 3.2714 || ↑ ||
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| | [[152edo|152]] || 49\152 || 0.5284 || 6.6930 || ↑ ||
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| | [[171edo|171]] || 55\171 || 0.3488 || 4.9704 || ↓ ||
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| | [[199edo|199]] || 64\199 || 0.3841 || 6.3691 || ↓ ||
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| | [[643edo|643]] || 207\643 || 0.0004 || 0.0235 || ↑ ||
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| |}
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| == See also == | | == See also == |