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HARMONICAL SERIES

Volume 2 · 73 words · 1771 Edition

a series of many numbers in continual harmonical proportion. Thus, if there are four or more numbers, of which every three immediate terms are harmonical, the whole will make an harmonical series: such is $30 : 20 : 15 : 12 : 10$. Or, if every four terms immediately next each other are harmonical, it is also a continual harmonical series, but of another species, as $3, 4, 6, 9, 18, 36$, &c.