97/84: Difference between revisions
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'''97/84''' is the arithmetic mean of [[7/6]] and [[8/7]], which closely approximates their geometric mean, that is, the square root of [[4/3]], categorizing it as a semifourth. Two instances of 97/84 differ from 4/3 by the 0.18-cent comma [[ | '''97/84''' is the arithmetic mean of [[7/6]] and [[8/7]], which closely approximates their geometric mean, that is, the square root of [[4/3]], categorizing it as a very exact [[JI]] semifourth, as it is also a convergent of the square root of 4/3. Two instances of 97/84 differ from 4/3 by the 0.18-cent comma [[S-expression|S97]] = [[9409/9408]]. Therefore, 97/84 is approximated well in any [[ET]] with a good approximation of 4/3 by an even number of steps, such as by [[24edo|5\24]] or [[53edo|11\53]]. It is closely related to [[97/56]], a semitritave. | ||
{{Todo|improve synopsis}} | {{Todo|improve synopsis}} | ||