684edo: Difference between revisions

Plumtree (talk | contribs)
m Infobox ET now computes most parameters automatically
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! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve stretch (¢)
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! colspan="2" | Tuning error
! colspan="2" | Tuning Error
|-
|-
! [[TE error|Absolute]] (¢)
! [[TE error|Absolute]] (¢)
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|-
|-
| 2.3.5.7.11.13.17
| 2.3.5.7.11.13.17
| 1089/1088, 1701/1700, 2025/2023, 2058/2057, 4225/4224, 13013/13005
| 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
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| 4.56
| 4.56
|}
|}
* 684et is the first equal temperament with a lower 13-limit absolute error after 494. The next equal temperament that is better tuned is 764.  
* 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 Octave
! Periods<br>per 8ve
! Generator<br>(Reduced)
! Generator<br>(Reduced)
! Cents<br>(Reduced)
! Cents<br>(Reduced)