Talk:Abc, high quality commas, and epimericity: Difference between revisions
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== Epimericity vs (degree of) epimoricity == | |||
For a [[ratio]] <math>\frac{p}{q}</math>, the "degree of epimoricity" is defined as <math>p - q</math>, while "epimericity" corresponds to <math>\log_d(p - q)</math>. The term "epimoric" refers to [[superparticular]] intervals, for which the "degree of epimoricity" is always 1, so I don't think "epimoricity" is appropriate compared to "epimericity". I would be tempted to call the former "epimericity" and the latter "logarithmic epimericity", but I'm not sure how common the existing terms currently are. --[[User:Fredg999|Fredg999]] ([[User talk:Fredg999|talk]]) 07:03, 26 February 2023 (UTC) | |||
Latest revision as of 07:03, 26 February 2023
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Epimericity vs (degree of) epimoricity
For a ratio [math]\displaystyle{ \frac{p}{q} }[/math], the "degree of epimoricity" is defined as [math]\displaystyle{ p - q }[/math], while "epimericity" corresponds to [math]\displaystyle{ \log_d(p - q) }[/math]. The term "epimoric" refers to superparticular intervals, for which the "degree of epimoricity" is always 1, so I don't think "epimoricity" is appropriate compared to "epimericity". I would be tempted to call the former "epimericity" and the latter "logarithmic epimericity", but I'm not sure how common the existing terms currently are. --Fredg999 (talk) 07:03, 26 February 2023 (UTC)