9ed9/8: Difference between revisions
Created page with "'''9ED9/8''' is the equal division of the Pythagorean whole tone into nine parts of 22.6567 cents each, corresponding to 52.9645 edo..." Tags: Mobile edit Mobile web edit |
Added just approximation |
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| | 1223.4600 | | | 1223.4600 | ||
| | (9/8)<font style="vertical-align:super;font-size:0.8em;">6</font> = 531441/262144 | | | (9/8)<font style="vertical-align:super;font-size:0.8em;">6</font> = 531441/262144 | ||
|} | |||
== Just approximation == | |||
=== 15-odd-limit mappings === | |||
The following table shows how [[15-odd-limit intervals]] are represented in 9ed9/8 (ordered by absolute error). | |||
{| class="wikitable center-all" | |||
|+ Direct mapping (even if inconsistent) | |||
|- | |||
! Interval(s) | |||
! Error (abs, [[cent|¢]]) | |||
|- | |||
| [[9/8]] | |||
|0.0 | |||
|- | |||
| [[3/2]], [[4/3]] | |||
|0.402 | |||
|- | |||
| [[26/15]] | |||
|0.679 | |||
|- | |||
| [[15/8]], [[5/3]] | |||
|0.749 | |||
|- | |||
| [[16/9]] | |||
|0.803 | |||
|- | |||
| [[13/10]] | |||
|1.081 | |||
|- | |||
| [[5/4]], [[10/9]] | |||
|1.15 | |||
|- | |||
| [[15/13]] | |||
|1.482 | |||
|- | |||
| [[6/5]], [[16/15]] | |||
|1.552 | |||
|- | |||
| [[20/13]] | |||
|1.884 | |||
|- | |||
| [[9/5]], [[8/5]] | |||
|1.954 | |||
|- | |||
| [[13/8]], [[13/9]] | |||
|2.231 | |||
|- | |||
| [[13/12]] | |||
|2.633 | |||
|- | |||
| [[16/13]], [[18/13]] | |||
|3.034 | |||
|- | |||
| [[24/13]] | |||
|3.436 | |||
|- | |||
| [[12/7]] | |||
|4.206 | |||
|- | |||
| [[22/13]] | |||
|4.524 | |||
|- | |||
| [[9/7]], [[8/7]] | |||
|4.607 | |||
|- | |||
| [[7/6]] | |||
|5.009 | |||
|- | |||
| [[13/11]] | |||
|5.327 | |||
|- | |||
| [[7/4]], [[14/9]] | |||
|5.411 | |||
|- | |||
| [[10/7]] | |||
|5.758 | |||
|- | |||
| [[22/15]] | |||
|6.006 | |||
|- | |||
| [[15/14]] | |||
|6.159 | |||
|- | |||
| [[11/10]] | |||
|6.408 | |||
|- | |||
| [[7/5]] | |||
|6.561 | |||
|- | |||
| [[15/11]] | |||
|6.809 | |||
|- | |||
| [[13/7]] | |||
|6.838 | |||
|- | |||
| [[28/15]] | |||
|6.963 | |||
|- | |||
| [[11/6]] | |||
|7.156 | |||
|- | |||
| [[20/11]] | |||
|7.211 | |||
|- | |||
| [[11/9]], [[11/8]] | |||
|7.558 | |||
|- | |||
| [[14/13]] | |||
|7.642 | |||
|- | |||
| [[12/11]] | |||
|7.96 | |||
|- | |||
| [[18/11]], [[16/11]] | |||
|8.361 | |||
|- | |||
| [[14/11]] | |||
|9.688 | |||
|- | |||
| [[11/7]] | |||
|10.491 | |||
|} | |} | ||