50edo: Difference between revisions
Upgrade RTT table |
Make JI approximation table collapsed, so we can afford another table |
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<nowiki>*</nowiki> using the patent val | <nowiki>*</nowiki> using the patent val | ||
== | == JI approximation == | ||
=== 15-odd-limit mappings === | === 15-odd-limit mappings === | ||
The following table shows how [[15-odd-limit intervals]] are represented in 50edo (ordered by absolute error). Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''. | The following table shows how [[15-odd-limit intervals]] are represented in 50edo (ordered by absolute error). Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''. | ||
{| class="wikitable center-all" | {| class="wikitable center-all mw-collapsible mw-collapsed" | ||
|+ Direct | |+style=white-space:nowrap| Direct approximation (even if inconsistent) | ||
|- | |- | ||
! Interval, complement | ! Interval, complement | ||
| Line 470: | Line 470: | ||
| [[9/8]], [[16/9]] | | [[9/8]], [[16/9]] | ||
| 11.910 | | 11.910 | ||
|} | |||
{| class="wikitable center-all mw-collapsible mw-collapsed" | |||
|+style=white-space:nowrap| Patent val mapping | |||
|- | |||
! Interval, complement | |||
! Error (abs, [[cent|¢]]) | |||
|- | |||
| '''[[16/13]], [[13/8]]''' | |||
| '''0.528''' | |||
|- | |||
| [[15/14]], [[28/15]] | |||
| 0.557 | |||
|- | |||
| '''[[11/8]], [[16/11]]''' | |||
| '''0.682''' | |||
|- | |||
| [[13/11]], [[22/13]] | |||
| 1.210 | |||
|- | |||
| [[13/10]], [[20/13]] | |||
| 1.786 | |||
|- | |||
| '''[[5/4]], [[8/5]]''' | |||
| '''2.314''' | |||
|- | |||
| [[7/6]], [[12/7]] | |||
| 2.871 | |||
|- | |||
| [[11/10]], [[20/11]] | |||
| 2.996 | |||
|- | |||
| [[9/7]], [[14/9]] | |||
| 3.084 | |||
|- | |||
| [[6/5]], [[5/3]] | |||
| 3.641 | |||
|- | |||
| [[13/12]], [[24/13]] | |||
| 5.427 | |||
|- | |||
| '''[[4/3]], [[3/2]]''' | |||
| '''5.955''' | |||
|- | |||
| [[7/5]], [[10/7]] | |||
| 6.512 | |||
|- | |||
| [[12/11]], [[11/6]] | |||
| 6.637 | |||
|- | |||
| [[15/13]], [[26/15]] | |||
| 7.741 | |||
|- | |||
| [[16/15]], [[15/8]] | |||
| 8.269 | |||
|- | |||
| [[14/13]], [[13/7]] | |||
| 8.298 | |||
|- | |||
| '''[[8/7]], [[7/4]]''' | |||
| '''8.826''' | |||
|- | |||
| [[15/11]], [[22/15]] | |||
| 8.951 | |||
|- | |||
| [[14/11]], [[11/7]] | |||
| 9.508 | |||
|- | |||
| [[10/9]], [[9/5]] | |||
| 9.596 | |||
|- | |||
| [[18/13]], [[13/9]] | |||
| 11.382 | |||
|- | |||
| [[9/8]], [[16/9]] | |||
| 11.910 | |||
|- | |||
| ''[[11/9]], [[18/11]]'' | |||
| ''12.592'' | |||
|} | |} | ||