Delta-N ratio: Difference between revisions

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Merging superpartient into delta-N as superpartients exclude superparticulars
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Thus [[superparticular]] ratios are delta-1 ratios, and [[Superpartient ratio|superpartient ratios]] are all ratios except delta-1 ratios. The delta-N terminology was coined by [[Kite Giedraitis]].
Thus [[superparticular]] ratios are delta-1 ratios, and '''superpartient ratios''' are all ratios except delta-1 ratios. The delta-N terminology was coined by [[Kite Giedraitis]].


A '''superpartient ratio''', also called an '''epimeric ratio''', is a rational number that is greater than 1 and is not [[superparticular]]; thus it is a '''delta-''d'' ratio''' with ''d'' > 1. More particularly, the ratio takes the form:
More particularly, a superpartient ratio takes the form:
:<math>\frac{n + d}{n} = 1 + \frac{d}{n}</math>,
:<math>\frac{n + d}{n} = 1 + \frac{d}{n}</math>,
where <math>n</math> and <math>d</math> are [[Wikipedia:Positive integer|positive integer]]s, <math>d > 1</math> and <math>d</math> is [[Wikipedia:Coprime|coprime]] to <math>n</math>.
where <math>n</math> and <math>d</math> are [[Wikipedia:Positive integer|positive integer]]s, <math>d > 1</math> and <math>d</math> is [[Wikipedia:Coprime|coprime]] to <math>n</math>.