53edo: Difference between revisions

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Because the 5th is so very accurate, 53edo also offers good approximations for Pythagorean thirds. In addition, the 43\53 interval is only 4.8 cents wider than the just ratio 7/4, so 53edo can also be used for 7-limit harmony, tempering out the [[septimal kleisma]], 225/224.
Because the 5th is so accurate, 53edo also offers good approximations for Pythagorean thirds. In addition, the 43\53 interval is only 4.8 cents wider than 7/4, so 53edo can also be used for 7-limit harmony, in which it tempers out the [[septimal kleisma]], 225/224.


=== 15-odd-limit interval mappings ===
=== 15-odd-limit interval mappings ===
The following table shows how [[15-odd-limit intervals]] are represented in 53edo. Octave-reduced prime harmonics are '''bolded'''; inconsistent intervals are in ''italic''.
The following table shows how [[15-odd-limit intervals]] are represented in 53edo. Octave-reduced prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''.


{| class="wikitable center-all mw-collapsible mw-collapsed"
{| class="wikitable center-all mw-collapsible mw-collapsed"