53edo: Difference between revisions
m Moving from Category:Pythagorean to Category:3-limit using Cat-a-lot |
→JI approximation: use the module for the error table (and +rel error to the direct approx table) |
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Line 652: | Line 652: | ||
{| class="wikitable center-all mw-collapsible mw-collapsed" | {| class="wikitable center-all mw-collapsible mw-collapsed" | ||
|+style=white-space:nowrap| | |+style=white-space:nowrap| 15-odd-limit intervals by direct mapping (even if inconsistent) | ||
|- | |- | ||
! Interval, complement | ! Interval, complement | ||
! Error (abs, [[Cent|¢]]) | ! Error (abs, [[Cent|¢]]) | ||
! Error (rel, [[Relative cent|%]]) | |||
|- | |- | ||
| '''[[ | | '''[[3/2]], [[4/3]]''' | ||
| '''0.068''' | | '''0.068''' | ||
| '''0.3''' | |||
|- | |- | ||
| [[9/8]], [[16/9]] | | [[9/8]], [[16/9]] | ||
| 0.136 | | 0.136 | ||
| 0.6 | |||
|- | |- | ||
| [[ | | [[9/5]], [[10/9]] | ||
| 1.272 | | 1.272 | ||
| 5.6 | |||
|- | |- | ||
| [[15/13]], [[26/15]] | | [[15/13]], [[26/15]] | ||
| 1.316 | | 1.316 | ||
| 5.8 | |||
|- | |- | ||
| [[ | | [[5/3]], [[6/5]] | ||
| 1.340 | | 1.340 | ||
| 5.9 | |||
|- | |- | ||
| [[13/10]], [[20/13]] | | [[13/10]], [[20/13]] | ||
| 1.384 | | 1.384 | ||
| 6.1 | |||
|- | |- | ||
| '''[[5/4]], [[8/5]]''' | | '''[[5/4]], [[8/5]]''' | ||
| '''1.408''' | | '''1.408''' | ||
| '''6.2''' | |||
|- | |- | ||
| [[ | | [[15/8]], [[16/15]] | ||
| 1.476 | | 1.476 | ||
| 6.5 | |||
|- | |- | ||
| [[ | | [[13/9]], [[18/13]] | ||
| 2.655 | | 2.655 | ||
| 11.7 | |||
|- | |- | ||
| [[13/12]], [[24/13]] | | [[13/12]], [[24/13]] | ||
| 2.724 | | 2.724 | ||
| 12.0 | |||
|- | |- | ||
| '''[[ | | '''[[13/8]], [[16/13]]''' | ||
| '''2.792''' | | '''2.792''' | ||
| '''12.3''' | |||
|- | |- | ||
| '''[[ | | '''[[7/4]], [[8/7]]''' | ||
| '''4.759''' | | '''4.759''' | ||
| '''21.0''' | |||
|- | |- | ||
| [[7/6]], [[12/7]] | | [[7/6]], [[12/7]] | ||
| 4.827 | | 4.827 | ||
| 21.3 | |||
|- | |- | ||
| [[9/7]], [[14/9]] | | [[9/7]], [[14/9]] | ||
| 4.895 | | 4.895 | ||
| 21.6 | |||
|- | |- | ||
| [[13/11]], [[22/13]] | | [[13/11]], [[22/13]] | ||
| 5.130 | | 5.130 | ||
| 22.7 | |||
|- | |- | ||
| [[7/5]], [[10/7]] | | [[7/5]], [[10/7]] | ||
| 6.167 | | 6.167 | ||
| 27.2 | |||
|- | |- | ||
| [[15/14]], [[28/15]] | | [[15/14]], [[28/15]] | ||
| 6.235 | | 6.235 | ||
| 27.5 | |||
|- | |- | ||
| [[15/11]], [[22/15]] | | [[15/11]], [[22/15]] | ||
| 6.445 | | 6.445 | ||
| 28.5 | |||
|- | |- | ||
| [[11/10]], [[20/11]] | | [[11/10]], [[20/11]] | ||
| 6.514 | | 6.514 | ||
| 28.8 | |||
|- | |- | ||
| [[ | | [[13/7]], [[14/13]] | ||
| 7.551 | | 7.551 | ||
| 33.3 | |||
|- | |- | ||
| [[11/9]], [[18/11]] | | [[11/9]], [[18/11]] | ||
| 7.785 | | 7.785 | ||
| 34.4 | |||
|- | |- | ||
| [[ | | [[11/6]], [[12/11]] | ||
| 7.854 | | 7.854 | ||
| 34.7 | |||
|- | |- | ||
| '''[[11/8]], [[16/11]]''' | | '''[[11/8]], [[16/11]]''' | ||
| '''7.922''' | | '''7.922''' | ||
| '''35.0''' | |||
|- | |- | ||
| ''[[ | | ''[[11/7]], [[14/11]]'' | ||
| ''9.961'' | | ''9.961'' | ||
| ''44.0'' | |||
|} | |} | ||
{{15-odd-limit|53}} | |||
== Regular temperament properties == | == Regular temperament properties == |