Superparticular ratio: Difference between revisions
m using "or" rather than equality here seems maybe slightly misleading? |
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'''Superparticular''' numbers are ratios of the form <math>\frac{n+1}{n} = 1+\frac{1}{n}</math>, where n is a whole number greater than 0. | '''Superparticular''' numbers are ratios of the form <math>\frac{n+1}{n} = 1+\frac{1}{n}</math>, where n is a whole number greater than 0. | ||
The word "superparticular" has Latin etymology and means "above by one part". The equivalent word of Greek origin is "epimoric" (from | The word "superparticular" has Latin etymology and means "above by one part". The equivalent word of Greek origin is "epimoric" (from επιμοριος, epimorios). | ||
These ratios have some peculiar properties: | These ratios have some peculiar properties: | ||