742edo: Difference between revisions
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→Regular temperament properties: +23-limit notability |
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| 0.0531 | | 0.0531 | ||
| 3.28 | | 3.28 | ||
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| 2.3.5.7.11.13.17.19.23 | |||
| 1197/1196, 1496/1495, 1701/1700, 2025/2024, 2058/2057, 2401/2400, 2601/2600, 3213/3211 | |||
| [{{val| 742 1176 1723 2083 2567 2746 3033 3152 3357 }}] (742i) | |||
| -0.0468 | |||
| 0.0699 | |||
| 4.32 | |||
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* 742et has a lower 19-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] than any previous equal temperaments. It is only bettered by [[935edo|935]] in terms of absolute error, and by [[1178edo|1178]] in terms of relative error. | * 742et has a lower 19-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] than any previous equal temperaments. It is only bettered by [[935edo|935]] in terms of absolute error, and by [[1178edo|1178]] in terms of relative error. | ||
* 742et is also notable in the 17-limit, where it has | * 742et (742i val) is also notable in the 17- and 23-limit, where it has lower absolute errors than any previous equal temperaments. In the 17-limit it beats [[581edo|581]] and is bettered by [[764edo|764]]; in the 23-limit it beats [[718edo|718]] and is bettered by [[814edo|814]]. | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||