Superparticular ratio: Difference between revisions

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A ratio greater than 1 which is not superparticular is a [[superpartient ratio]].
A ratio greater than 1 which is not superparticular is a [[superpartient ratio]].
[[Kite Giedraitis]] has proposed a [[delta-N]] terminology (where [[delta]] means difference, here the difference between the numerator and the denominator). Thus delta-1 is a replacement for superparticular, delta-2 is for ratios of the form <math>\frac{n+2}{n}</math>, likewise delta-3, delta-4, etc.


== Etymology ==
== Etymology ==
The word ''superparticular'' has Latin etymology and means "above by one part". The equivalent word of Greek origin is ''epimoric'' (from επιμοριος, ''epimórios'').
The word ''superparticular'' has Latin etymology and means "above by one part". The equivalent word of Greek origin is ''epimoric'' (from επιμοριος, ''epimórios'').
[[Kite Giedraitis]] has proposed the term delta-1 (where [[delta]] means difference, here the difference between the numerator and the denominator) as a replacement for superparticular, delta-2 for ratios of the form <math>\frac{n+2}{n}</math>, likewise delta-3, delta-4, etc.


== Definitions ==
== Definitions ==