10ed7/4: Difference between revisions
m Categories added |
Added 15-limit approximations |
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| | (7/4)<sup>19/5</sup> | | | (7/4)<sup>19/5</sup> | ||
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== Just approximation == | |||
Only very few intervals like the [[5/4|just major third]] and the [[7/5|Huygens' tritone]] are well approximated by 10ed7/4. | |||
=== 15-odd-limit mappings === | |||
The following table shows how [[15-odd-limit intervals]] are represented in 10ed7/4 (can be ordered by absolute error). | |||
{| class="wikitable sortable" | |||
|- | |||
|+ Direct mapping (even if inconsistent) | |||
|- | |||
! Interval(s) | |||
! Error (abs, [[cent|¢]]) | |||
|- | |||
|- | |||
| [[7/4]] | |||
|0.0 | |||
|- | |||
| [[2/1]] | |||
| 37.409 | |||
|- | |||
| [[3/2]] | |||
|23.777 | |||
|- | |||
| [[5/4]] | |||
|1.217 | |||
|- | |||
| [[9/8]] | |||
|10.145 | |||
|- | |||
| [[11/8]] | |||
|29.978 | |||
|- | |||
| [[13/8]] | |||
|31.416 | |||
|- | |||
| [[15/8]] | |||
|22.56 | |||
|- | |||
| [[14/9]] | |||
|10.145 | |||
|- | |||
| [[28/15]] | |||
|14.849 | |||
|- | |||
| [[10/7]] | |||
|36.192 | |||
|- | |||
| [[16/11]] | |||
|29.496 | |||
|- | |||
| [[13/10]] | |||
|30.199 | |||
|- | |||
| [[9/5]] | |||
|48.112 | |||
|- | |||
| [[10/9]] | |||
|11.361 | |||
|- | |||
| [[26/15]] | |||
|16.567 | |||
|- | |||
| [[13/11]] | |||
|1.438 | |||
|- | |||
| [[13/7]] | |||
|5.993 | |||
|- | |||
| [[16/13]] | |||
|28.058 | |||
|- | |||
| [[7/6]] | |||
|23.777 | |||
|- | |||
| [[5/3]] | |||
|12.415 | |||
|- | |||
| [[20/13]] | |||
|29.275 | |||
|- | |||
| [[11/10]] | |||
|28.761 | |||
|- | |||
| [[8/5]] | |||
|38.626 | |||
|- | |||
| [[9/7]] | |||
|47.554 | |||
|- | |||
| [[11/9]] | |||
|40.122 | |||
|- | |||
| [[18/11]] | |||
|19.351 | |||
|- | |||
| [[24/13]] | |||
|4.281 | |||
|- | |||
| [[22/15]] | |||
|15.129 | |||
|- | |||
| [[15/13]] | |||
|42.907 | |||
|- | |||
| [[15/11]] | |||
|44.345 | |||
|- | |||
| [[16/9]] | |||
|27.264 | |||
|- | |||
| [[12/7]] | |||
|35.697 | |||
|- | |||
| [[7/5]] | |||
|1.217 | |||
|- | |||
| [[12/11]] | |||
|43.128 | |||
|- | |||
| [[4/3]] | |||
|13.632 | |||
|- | |||
| [[11/6]] | |||
|16.346 | |||
|- | |||
| [[13/12]] | |||
|41.69 | |||
|- | |||
| [[8/7]] | |||
|37.409 | |||
|- | |||
| [[20/11]] | |||
|30.713 | |||
|- | |||
| [[14/13]] | |||
|31.416 | |||
|- | |||
| [[6/5]] | |||
|24.994 | |||
|- | |||
| [[18/13]] | |||
|17.913 | |||
|- | |||
| [[15/14]] | |||
|22.56 | |||
|- | |||
| [[11/7]] | |||
|7.431 | |||
|- | |||
| [[13/9]] | |||
|41.56 | |||
|- | |||
| [[14/11]] | |||
|29.978 | |||
|- | |||
| [[22/13]] | |||
|38.847 | |||
|- | |||
| [[16/15]] | |||
|14.849 | |||
|} | |||