97/56: Difference between revisions

(7 intermediate revisions by 5 users not shown)

Line 1:

{{Infobox Interval

| Name = homothetic semitwelfth

| Name = nonacesimoseptimal semitwelfth, homothetic semitwelfth

| Color name = 97or6

}}

'''97/56''' is the arithmetic mean of [[7/4]] and [[12/7]], which closely approximates their geometric mean, that is, the square root of [[3/1]], categorizing it as a semitwelfth. 3/1 differs from two instances of 97/56 by the 0.18-cent comma [[S-expression|S97]] = [[9409/9408]]. Therefore, 97/56 is approximated well in any [[ET]] with a good approximation of 3/1 by an even number of steps (or in even-numbered [[EDT]]s), such as by [[24edo|19\24]] or [[53edo|42\53]]. It is closely related to [[97/84]], a semifourth.

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = homothetic semitwelfth
+| Name = nonacesimoseptimal semitwelfth, homothetic semitwelfth
+| Color name = 97or6
 }}
+'''97/56''' is the arithmetic mean of [[7/4]] and [[12/7]], which closely approximates their geometric mean, that is, the square root of [[3/1]], categorizing it as a semitwelfth. 3/1 differs from two instances of 97/56 by the 0.18-cent comma [[S-expression|S97]] = [[9409/9408]]. Therefore, 97/56 is approximated well in any [[ET]] with a good approximation of 3/1 by an even number of steps (or in even-numbered [[EDT]]s), such as by [[24edo|19\24]] or [[53edo|42\53]]. It is closely related to [[97/84]], a semifourth.
+{{Todo|improve synopsis}}