684edo: Difference between revisions
m Infobox ET now computes most parameters automatically |
→Regular temperament properties: comma basis; style |
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| Line 13: | Line 13: | ||
! rowspan="2" | [[Comma list|Comma List]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br>8ve Stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning Error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
| Line 27: | Line 27: | ||
|- | |- | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 1089/1088, 1701/1700, 2025/2023 | | 1089/1088, 1225/1224, 1701/1700, 2025/2023, 4225/4224, 13013/13005 | ||
| [{{val| 684 1084 1588 1920 2366 2531 2796 }}] | | [{{val| 684 1084 1588 1920 2366 2531 2796 }}] | ||
| +0.0744 | | +0.0744 | ||
| Line 33: | Line 33: | ||
| 4.56 | | 4.56 | ||
|} | |} | ||
* 684et is the first equal temperament with a lower 13-limit absolute error | * 684et is the first equal temperament past 494 with a lower 13-limit absolute error. The next equal temperament that is better tuned is [[764edo|764]]. | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+Table of rank-2 temperaments by generator | ||
! Periods<br>per | ! Periods<br>per 8ve | ||
! Generator<br>(Reduced) | ! Generator<br>(Reduced) | ||
! Cents<br>(Reduced) | ! Cents<br>(Reduced) | ||