22edo: Difference between revisions
→Selected just intervals by error: 22edo is not consistent in 15-odd-limit, and the table incorrectly based the error on the closest match instead of the patent val match |
Both mapping types |
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==Selected just intervals by error== | ==Selected just intervals by error== | ||
The following table shows how [[Just-24|some prominent just intervals]] are represented in 22edo (ordered by absolute error). | The following table shows how [[Just-24|some prominent just intervals]] are represented in 22edo (ordered by absolute error). | ||
===Best direct mapping, even if inconsistent=== | |||
{| class="wikitable" | |||
|- | |||
! | Interval, complement | |||
! | Error (abs., in [[cent|cents]]) | |||
|- | |||
| style="text-align:center;" | [[9/7|9/7]], [[14/9|14/9]] | |||
| style="text-align:center;" | 1.280 | |||
|- | |||
| style="text-align:center;" | [[11/10|11/10]], [[20/11|20/11]] | |||
| style="text-align:center;" | 1.368 | |||
|- | |||
| style="text-align:center;" | [[16/15|16/15]], [[15/8|15/8]] | |||
| style="text-align:center;" | 2.640 | |||
|- | |||
| style="text-align:center;" | [[5/4|5/4]], [[8/5|8/5]] | |||
| style="text-align:center;" | 4.496 | |||
|- | |||
| style="text-align:center;" | [[7/6|7/6]], [[12/7|12/7]] | |||
| style="text-align:center;" | 5.856 | |||
|- | |||
| style="text-align:center;" | [[11/8|11/8]], [[16/11|16/11]] | |||
| style="text-align:center;" | 5.863 | |||
|- | |||
| style="text-align:center;" | [[4/3|4/3]], [[3/2|3/2]] | |||
| style="text-align:center;" | 7.136 | |||
|- | |||
| style="text-align:center;" | [[15/11|15/11]], [[22/15|22/15]] | |||
| style="text-align:center;" | 8.504 | |||
|- | |||
| style="text-align:center;" | [[15/14|15/14]], [[28/15|28/15]] | |||
| style="text-align:center;" | 10.352 | |||
|- | |||
| style="text-align:center;" | [[6/5|6/5]], [[5/3|5/3]] | |||
| style="text-align:center;" | 11.631 | |||
|- | |||
| style="text-align:center;" | [[8/7|8/7]], [[7/4|7/4]] | |||
| style="text-align:center;" | 12.992 | |||
|- | |||
| style="text-align:center;" | [[12/11|12/11]], [[11/6|11/6]] | |||
| style="text-align:center;" | 12.999 | |||
|- | |||
| style="text-align:center;" | [[9/8|9/8]], [[16/9|16/9]] | |||
| style="text-align:center;" | 14.272 | |||
|- | |||
| style="text-align:center;" | [[13/11|13/11]], [[22/13|22/13]] | |||
| style="text-align:center;" | 16.482 | |||
|- | |||
| style="text-align:center;" | [[7/5|7/5]], [[10/7|10/7]] | |||
| style="text-align:center;" | 17.488 | |||
|- | |||
| style="text-align:center;" | [[13/10|13/10]], [[20/13|20/13]] | |||
| style="text-align:center;" | 17.850 | |||
|- | |||
| style="text-align:center;" | [[18/13|18/13]], [[13/9|13/9]] | |||
| style="text-align:center;" | 17.928 | |||
|- | |||
| style="text-align:center;" | [[10/9|10/9]], [[9/5|9/5]] | |||
| style="text-align:center;" | 18.767 | |||
|- | |||
| style="text-align:center;" | [[14/11|14/11]], [[11/7|11/7]] | |||
| style="text-align:center;" | 18.856 | |||
|- | |||
| style="text-align:center;" | [[14/13|14/13]], [[13/7|13/7]] | |||
| style="text-align:center;" | 19.207 | |||
|- | |||
| style="text-align:center;" | [[11/9|11/9]], [[18/11|18/11]] | |||
| style="text-align:center;" | 20.135 | |||
|- | |||
| style="text-align:center;" | [[16/13|16/13]], [[13/8|13/8]] | |||
| style="text-align:center;" | 22.346 | |||
|- | |||
| style="text-align:center;" | [[15/13|15/13]], [[26/15|26/15]] | |||
| style="text-align:center;" | 24.986 | |||
|- | |||
| style="text-align:center;" | [[13/12|13/12]], [[24/13|24/13]] | |||
| style="text-align:center;" | 25.064 | |||
|} | |||
===Patent val mapping=== | |||
{| class="wikitable" | {| class="wikitable" | ||