2684edo: Difference between revisions
→Regular temperament properties: on absolute error |
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== Regular temperament properties == | == Regular temperament properties == | ||
* 2684et holds a record for the lowest relative error in the 13-limit, past [[2190edo|2190]] and is only bettered by [[5585edo|5585]], which is more than twice its size. In terms of absolute error, it is narrowly beaten by [[3395edo|3395]]. | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[Comma list|Comma List]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br>8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.3.5.7 | |||
| 78125000/78121827, 184528125/184473632 | |||
| [{{val|2684 4254 6232 7535}}] | |||
| 0.0030 | |||
| 0.0085 | |||
| 0.68 | |||
|- | |||
| 2.3.5.7.11 | |||
| 9801/9800, 47265625/47258883, 56953125/56942116, 369140625/369098752 | |||
| [{{val|2684 4254 6232 7535 9825}}] | |||
| 0.0089 | |||
| 0.0054 | |||
| 1.99 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 9801/9800, 10648/10647, 140625/140608, 196625/196608, 823680/823543 | |||
| [{{val|2684 4254 6232 7535 9825 9932}}] | |||
| 0.0041 | |||
| 0.0086 | |||
| 1.93 | |||
|- | |||
| 2.3.5.7.11.13.17 | |||
| 4914/4913, 5832/5831, 9801/9800, 10648/10647, 28561/28560, 140625/140608 | |||
| [{{val|2684 4254 6232 7535 9825 9932 10971}}] | |||
| -0.0004 | |||
| 0.0136 | |||
| 3.04 | |||
|} | |||
* 2684et holds a record for the lowest relative error in the 13-limit, past [[2190edo|2190]] and is only bettered by [[5585edo|5585]], which is more than twice its size. In terms of absolute error, it is narrowly beaten by [[3395edo|3395]]. | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||