55edo: Difference between revisions
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== | ===Best theoretical mapping, even if in[[consistent]]=== | ||
The following table shows how [[Just-24|some prominent just intervals]] are represented in 55edo (ordered by absolute error). | The following table shows how [[Just-24|some prominent just intervals]] are represented in 55edo (ordered by absolute error). | ||
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[[Category:meantone]] | [[Category:meantone]] | ||
[[Category:theory]] | [[Category:theory]] | ||
==Selected just intervals by error== | |||
The following table shows how [[Just-24|some prominent just intervals]] are represented in 55edo (ordered by absolute error). | |||
{| 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;" | [[11/9|11/9]], [[18/11|18/11]] | |||
| style="text-align:center;" | 1.683 | |||
|- | |||
| style="text-align:center;" | [[12/11|12/11]], [[11/6|11/6]] | |||
| style="text-align:center;" | 2.090 | |||
|- | |||
| style="text-align:center;" | [[16/15|16/15]], [[15/8|15/8]] | |||
| style="text-align:center;" | 2.640 | |||
|- | |||
| style="text-align:center;" | [[14/11|14/11]], [[11/7|11/7]] | |||
| style="text-align:center;" | 2.963 | |||
|- | |||
| style="text-align:center;" | [[4/3|4/3]], [[3/2|3/2]] | |||
| style="text-align:center;" | 3.773 | |||
|- | |||
| style="text-align:center;" | [[13/10|13/10]], [[20/13|20/13]] | |||
| style="text-align:center;" | 3.968 | |||
|- | |||
| style="text-align:center;" | [[7/6|7/6]], [[12/7|12/7]] | |||
| style="text-align:center;" | 5.053 | |||
|- | |||
| style="text-align:center;" | [[11/8|11/8]], [[16/11|16/11]] | |||
| style="text-align:center;" | 5.863 | |||
|- | |||
| style="text-align:center;" | [[5/4|5/4]], [[8/5|8/5]] | |||
| style="text-align:center;" | 6.414 | |||
|- | |||
| style="text-align:center;" | [[9/8|9/8]], [[16/9|16/9]] | |||
| style="text-align:center;" | 7.546 | |||
|- | |||
| style="text-align:center;" | [[15/13|15/13]], [[26/15|26/15]] | |||
| style="text-align:center;" | 7.741 | |||
|- | |||
| style="text-align:center;" | [[15/11|15/11]], [[22/15|22/15]] | |||
| style="text-align:center;" | 8.504 | |||
|- | |||
| style="text-align:center;" | [[8/7|8/7]], [[7/4|7/4]] | |||
| style="text-align:center;" | 8.826 | |||
|- | |||
| style="text-align:center;" | [[6/5|6/5]], [[5/3|5/3]] | |||
| style="text-align:center;" | 10.187 | |||
|- | |||
| style="text-align:center;" | [[16/13|16/13]], [[13/8|13/8]] | |||
| style="text-align:center;" | 10.381 | |||
|- | |||
| style="text-align:center;" | [[15/14|15/14]], [[28/15|28/15]] | |||
| style="text-align:center;" | 11.466 | |||
|- | |||
| style="text-align:center;" | [[11/10|11/10]], [[20/11|20/11]] | |||
| style="text-align:center;" | 12.277 | |||
|- | |||
| style="text-align:center;" | [[10/9|10/9]], [[9/5|9/5]] | |||
| style="text-align:center;" | 13.960 | |||
|- | |||
| style="text-align:center;" | [[13/12|13/12]], [[24/13|24/13]] | |||
| style="text-align:center;" | 14.155 | |||
|- | |||
| style="text-align:center;" | [[7/5|7/5]], [[10/7|10/7]] | |||
| style="text-align:center;" | 15.239 | |||
|- | |||
| style="text-align:center;" | [[13/11|13/11]], [[22/13|22/13]] | |||
| style="text-align:center;" | 16.245 | |||
|- | |||
| style="text-align:center;" | [[18/13|18/13]], [[13/9|13/9]] | |||
| style="text-align:center;" | 17.928 | |||
|- | |||
| style="text-align:center;" | [[14/13|14/13]], [[13/7|13/7]] | |||
| style="text-align:center;" | 19.207 | |||
|} | |||
[http://www.seraph.it/dep/int/AdagioKV540.mp3 Mozart - Adagio in B minor KV 540] by [[Carlo_Serafini|Carlo Serafini]] ([http://www.seraph.it/blog_files/706c4662272db7703def4d57edfcb955-119.html blog entry]) | |||
[http://tonalsoft.com/monzo/55edo/55edo.aspx "Mozart's tuning: 55edo"] (containing another listening example) in the [[tonalsoft_encyclopedia|tonalsoft encyclopedia]] [[Category:55edo]] | |||
[[Category:edo]] | |||
[[Category:intervals]] | |||
[[Category:meantone]] | |||
[[Category:theory]] | |||
[[Category:todo:unify_precision]] | |||