31edo: Difference between revisions
Added both patent val, and error of closest direct mapping, for the sake of having everything |
Easiest to just use both tables instead of doing these all by hand. We can clean up later |
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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 31edo (ordered by absolute error). | The following table shows how [[Just-24|some prominent just intervals]] are represented in 31edo (ordered by absolute error). | ||
'''Best direct mapping (ignoring consistency)''' | |||
{| class="wikitable" | {| class="wikitable" | ||
| Line 173: | Line 175: | ||
|- | |- | ||
| style="text-align:center;" | [[18/13|18/13]], [[13/9|13/9]] | | style="text-align:center;" | [[18/13|18/13]], [[13/9|13/9]] | ||
| style="text-align:center;" | 17.263 | | style="text-align:center;" | 17.263 | ||
|- | |- | ||
| style="text-align:center;" | [[13/11|13/11]], [[22/13|22/13]] | | style="text-align:center;" | [[13/11|13/11]], [[22/13|22/13]] | ||
| style="text-align:center;" | 18.242 ( | | style="text-align:center;" | 18.242 | ||
|} | |||
'''Patent val (consistent)''' | |||
{| class="wikitable" | |||
|- | |||
! | Interval, complement | |||
! | Error (abs., in [[cent|cents]]) | |||
|- | |||
| style="text-align:center;" | [[5/4|5/4]], [[8/5|8/5]] | |||
| style="text-align:center;" | 0.783 | |||
|- | |||
| style="text-align:center;" | [[11/9|11/9]], [[18/11|18/11]] | |||
| style="text-align:center;" | 0.979 | |||
|- | |||
| style="text-align:center;" | [[8/7|8/7]], [[7/4|7/4]] | |||
| style="text-align:center;" | 1.084 | |||
|- | |||
| style="text-align:center;" | [[7/5|7/5]], [[10/7|10/7]] | |||
| style="text-align:center;" | 1.867 | |||
|- | |||
| style="text-align:center;" | [[15/14|15/14]], [[28/15|28/15]] | |||
| style="text-align:center;" | 3.314 | |||
|- | |||
| style="text-align:center;" | [[7/6|7/6]], [[12/7|12/7]] | |||
| style="text-align:center;" | 4.097 | |||
|- | |||
| style="text-align:center;" | [[12/11|12/11]], [[11/6|11/6]] | |||
| style="text-align:center;" | 4.202 | |||
|- | |||
| style="text-align:center;" | [[16/15|16/15]], [[15/8|15/8]] | |||
| style="text-align:center;" | 4.398 | |||
|- | |||
| style="text-align:center;" | [[15/11|15/11]], [[22/15|22/15]] | |||
| style="text-align:center;" | 4.985 | |||
|- | |||
| style="text-align:center;" | [[4/3|4/3]], [[3/2|3/2]] | |||
| style="text-align:center;" | 5.181 | |||
|- | |||
| style="text-align:center;" | [[6/5|6/5]], [[5/3|5/3]] | |||
| style="text-align:center;" | 5.964 | |||
|- | |||
| style="text-align:center;" | [[14/11|14/11]], [[11/7|11/7]] | |||
| style="text-align:center;" | 8.298 | |||
|- | |||
| style="text-align:center;" | [[9/7|9/7]], [[14/9|14/9]] | |||
| style="text-align:center;" | 9.278 | |||
|- | |||
| style="text-align:center;" | [[11/8|11/8]], [[16/11|16/11]] | |||
| style="text-align:center;" | 9.382 | |||
|- | |||
| style="text-align:center;" | [[11/10|11/10]], [[20/11|20/11]] | |||
| style="text-align:center;" | 10.166 | |||
|- | |||
| style="text-align:center;" | [[13/10|13/10]], [[20/13|20/13]] | |||
| style="text-align:center;" | 10.302 | |||
|- | |||
| style="text-align:center;" | [[9/8|9/8]], [[16/9|16/9]] | |||
| style="text-align:center;" | 10.362 | |||
|- | |||
| style="text-align:center;" | [[16/13|16/13]], [[13/8|13/8]] | |||
| style="text-align:center;" | 11.085 | |||
|- | |||
| style="text-align:center;" | [[10/9|10/9]], [[9/5|9/5]] | |||
| style="text-align:center;" | 11.145 | |||
|- | |||
| style="text-align:center;" | [[14/13|14/13]], [[13/7|13/7]] | |||
| style="text-align:center;" | 12.169 | |||
|- | |||
| style="text-align:center;" | [[15/13|15/13]], [[26/15|26/15]] | |||
| style="text-align:center;" | 15.483 | |||
|- | |||
| style="text-align:center;" | [[13/12|13/12]], [[24/13|24/13]] | |||
| style="text-align:center;" | 16.266 | |||
|- | |||
| style="text-align:center;" | [[13/11|13/11]], [[22/13|22/13]] | |||
| style="text-align:center;" | 20.468 | |||
|- | |||
| style="text-align:center;" | [[18/13|18/13]], [[13/9|13/9]] | |||
| style="text-align:center;" | 21.447 | |||
|} | |} | ||