Mercator family: Difference between revisions
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<center>'''[[Fractional-octave temperaments]]'''</center> | |||
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<small>← [[{{Ordinal|{{#expr:53-1}}}}-octave temperaments]]</small> {{PAGENAME}} <small>[[{{Ordinal|{{#expr:53+1}}}}-octave temperaments]] →</small> | |||
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[[Category:53edo]] | [[Category:53edo]] | ||
[[Category:Fractional-octave temperaments]] | [[Category:Fractional-octave temperaments]] | ||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
The '''Mercator family''' tempers out [[Mercator's comma]], {{monzo| -84 53 }}, and hence the fifths form a closed 53-note circle of fifths, identical to [[53edo]]. While the tuning of the fifth will be that of 53edo, 0.069 cents flat, the tuning of the larger primes is not so constrained, and the point of these temperaments is to improve on it. | The '''Mercator family''' tempers out [[Mercator's comma]], {{monzo| -84 53 }}, and hence the fifths form a closed 53-note circle of fifths, identical to [[53edo]]. While the tuning of the fifth will be that of 53edo, 0.069 cents flat, the tuning of the larger primes is not so constrained, and the point of these temperaments is to improve on it. | ||
Discussed elsewhere are: | |||
* ''[[Aemilic]]'' (+250047/250000) → [[159th-octave temperaments#Aemilic|159th-octave temperaments]] | |||
== Mercator == | == Mercator == | ||