Delta-N ratio

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Revision as of 06:42, 1 March 2023 by TallKite (talk | contribs) (Re-creating my page because delta-N terminology is not just another way of saying superpartient. It conveys more information and deserves its own page. (Plus, I have a wonderful xen application for delta-N terminology, just haven't had time to write it up yet.))
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The delta of a ratio is simply the difference between its numerator and its denominator. (Delta is also known as degree of epimoricity.) A ratio with a delta of N is called a delta-N ratio.

examples
delta-1 ratios 2/1 3/2 4/3 5/4 6/5 7/6 etc.
delta-2 ratios 3/1 5/3 7/5 9/7 11/9 13/11 etc.
delta-3 ratios 4/1 5/2 7/4 8/5 10/7 11/8 etc.
delta-4 ratios 5/1 7/3 9/5 11/7 13/9 15/11 etc.

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.