17edo: Difference between revisions
→Selected just intervals by error: 17edo 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 mappings, corrected bogus headers |
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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 17edo (ordered by absolute error). | The following table shows how [[Just-24|some prominent just intervals]] are represented in 17edo (ordered by absolute error). | ||
===Best direct mapping, even if inconsistent=== | |||
{| class="wikitable" | |||
|- | |||
| | '''Interval, complement''' | |||
| | '''Error (abs., in [[cent|cents]])''' | |||
|- | |||
| style="text-align:center;" | [[18/13|18/13]], [[13/9|13/9]] | |||
| style="text-align:center;" | 1.324 | |||
|- | |||
| style="text-align:center;" | [[13/12|13/12]], [[24/13|24/13]] | |||
| style="text-align:center;" | 2.604 | |||
|- | |||
| style="text-align:center;" | [[4/3|4/3]], [[3/2|3/2]] | |||
| style="text-align:center;" | 3.927 | |||
|- | |||
| style="text-align:center;" | [[11/9|11/9]], [[18/11|18/11]] | |||
| style="text-align:center;" | 5.533 | |||
|- | |||
| style="text-align:center;" | [[14/11|14/11]], [[11/7|11/7]] | |||
| style="text-align:center;" | 6.021 | |||
|- | |||
| style="text-align:center;" | [[16/13|16/13]], [[13/8|13/8]] | |||
| style="text-align:center;" | 6.531 | |||
|- | |||
| style="text-align:center;" | [[13/11|13/11]], [[22/13|22/13]] | |||
| style="text-align:center;" | 6.857 | |||
|- | |||
| style="text-align:center;" | [[9/8|9/8]], [[16/9|16/9]] | |||
| style="text-align:center;" | 7.855 | |||
|- | |||
| style="text-align:center;" | [[12/11|12/11]], [[11/6|11/6]] | |||
| style="text-align:center;" | 9.461 | |||
|- | |||
| style="text-align:center;" | [[9/7|9/7]], [[14/9|14/9]] | |||
| style="text-align:center;" | 11.555 | |||
|- | |||
| style="text-align:center;" | [[14/13|14/13]], [[13/7|13/7]] | |||
| style="text-align:center;" | 12.878 | |||
|- | |||
| style="text-align:center;" | [[11/8|11/8]], [[16/11|16/11]] | |||
| style="text-align:center;" | 13.388 | |||
|- | |||
| style="text-align:center;" | [[7/6|7/6]], [[12/7|12/7]] | |||
| style="text-align:center;" | 15.482 | |||
|- | |||
| style="text-align:center;" | [[7/5|7/5]], [[10/7|10/7]] | |||
| style="text-align:center;" | 17.806 | |||
|- | |||
| style="text-align:center;" | [[8/7|8/7]], [[7/4|7/4]] | |||
| style="text-align:center;" | 19.409 | |||
|- | |||
| style="text-align:center;" | [[15/14|15/14]], [[28/15|28/15]] | |||
| style="text-align:center;" | 21.734 | |||
|- | |||
| style="text-align:center;" | [[11/10|11/10]], [[20/11|20/11]] | |||
| style="text-align:center;" | 23.828 | |||
|- | |||
| style="text-align:center;" | [[15/11|15/11]], [[22/15|22/15]] | |||
| style="text-align:center;" | 27.755 | |||
|- | |||
| style="text-align:center;" | [[10/9|10/9]], [[9/5|9/5]] | |||
| style="text-align:center;" | 29.361 | |||
|- | |||
| style="text-align:center;" | [[16/15|16/15]], [[15/8|15/8]] | |||
| style="text-align:center;" | 29.445 | |||
|- | |||
| style="text-align:center;" | [[13/10|13/10]], [[20/13|20/13]] | |||
| style="text-align:center;" | 30.685 | |||
|- | |||
| style="text-align:center;" | [[6/5|6/5]], [[5/3|5/3]] | |||
| style="text-align:center;" | 33.288 | |||
|- | |||
| style="text-align:center;" | [[5/4|5/4]], [[8/5|8/5]] | |||
| style="text-align:center;" | 33.373 | |||
|- | |||
| style="text-align:center;" | [[15/13|15/13]], [[26/15|26/15]] | |||
| style="text-align:center;" | 34.612 | |||
|} | |||
===Patent val mapping=== | |||
{| class="wikitable" | {| class="wikitable" | ||
| Line 487: | Line 569: | ||
=Instruments= | =Instruments= | ||
<ul><li> | <ul><li> | ||
'''[http://www.microtonalismo.com/proyecto-xvii Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani]''' | |||
<div class='external-image-warning' style='background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block'> | <div class='external-image-warning' style='background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block'> | ||
| Line 498: | Line 580: | ||
[[Category:IMPORTDEBUG - Change External Images]] | [[Category:IMPORTDEBUG - Change External Images]] | ||
</li></ul> | </li></ul> | ||
<ul><li> | <ul><li> | ||
'''[http://www.microtonalismo.com/proyecto-xvii Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani]''' | |||
<div class='external-image-warning' style='background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block'> | <div class='external-image-warning' style='background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block'> | ||
| Line 513: | Line 595: | ||
[[Category:IMPORTDEBUG - Change External Images]] | [[Category:IMPORTDEBUG - Change External Images]] | ||
</li></ul> | </li></ul> | ||