2684edo: Difference between revisions
Clarify the title row of the rank-2 temp table |
→Regular temperament properties: 11-limit notability |
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| Line 28: | Line 28: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 78125000/78121827, {{monzo| -5 10 5 -8 }}, {{monzo| -48 0 11 8 }} | | 78125000/78121827, {{monzo| -5 10 5 -8 }}, {{monzo| -48 0 11 8 }} | ||
| | | {{mapping| 2684 4254 6232 7535 }} | ||
| +0.0030 | | +0.0030 | ||
| 0.0085 | | 0.0085 | ||
| Line 35: | Line 35: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 9801/9800, 1771561/1771470, 35156250/35153041, 67110351/67108864 | | 9801/9800, 1771561/1771470, 35156250/35153041, 67110351/67108864 | ||
| | | {{mapping| 2684 4254 6232 7535 9825 }} | ||
| +0.0089 | | +0.0089 | ||
| 0.0089 | | 0.0089 | ||
| Line 42: | Line 42: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 9801/9800, 10648/10647, 140625/140608, 196625/196608, 823680/823543 | | 9801/9800, 10648/10647, 140625/140608, 196625/196608, 823680/823543 | ||
| | | {{mapping| 2684 4254 6232 7535 9825 9932 }} | ||
| +0.0041 | | +0.0041 | ||
| 0.0086 | | 0.0086 | ||
| Line 49: | Line 49: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 4914/4913, 5832/5831, 9801/9800, 10648/10647, 28561/28560, 140625/140608 | | 4914/4913, 5832/5831, 9801/9800, 10648/10647, 28561/28560, 140625/140608 | ||
| | | {{mapping| 2684 4254 6232 7535 9825 9932 10971 }} | ||
| -0.0004 | | -0.0004 | ||
| 0.0136 | | 0.0136 | ||
| Line 56: | Line 56: | ||
| 2.3.5.7.11.13.17.23 | | 2.3.5.7.11.13.17.23 | ||
| 4761/4760, 4914/4913, 5832/5831, 8625/8624, 9801/9800, 10648/10647, 28561/28560 | | 4761/4760, 4914/4913, 5832/5831, 8625/8624, 9801/9800, 10648/10647, 28561/28560 | ||
| | | {{mapping| 2684 4254 6232 7535 9825 9932 10971 12141 }} | ||
| +0.0026 | | +0.0026 | ||
| 0.0150 | | 0.0150 | ||
| Line 62: | Line 62: | ||
|} | |} | ||
* 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]]. | * 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]]. | ||
* 2684et is also notable in the 11-limit, where it has the lowest absolute error, past [[1848edo|1848]] and before 3395. | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||