182/121: Difference between revisions

(4 intermediate revisions by 3 users not shown)

Line 1:

{{Infobox Interval

| ~~Ratio = 182/121~~

| Name = minor-minthmic fifth

~~| Monzo~~ = ~~1 0 0 1~~ -~~2 1~~

| Color name = 3o1uuz6, tholuluzo 6th

~~| Cents = 706.71768~~

~~| Name = (tridecimal) gentle~~ fifth

| Color name =

| Sound = Ji-182-121-csound-foscil-220hz.mp3

}}

'''182/121''', the '''~~(tridecimal) gentle~~ fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a ~~gentle comma (~~[[364/363]]) sharp of the perfect fifth ([[3/2]]). It is ~~found between~~ 11~~/14~~ and [[13/11]] (13/11 * [[14/11]] = 182/121).

'''182/121''', the '''minor-minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363|minor-minthma (364/363)]] sharp of the perfect fifth ([[3/2]]). It is the stack of [[14/11]] and [[13/11]] ((13/11)⋅(14/11) = 182/121).

== Approximation ==

~~The gentle fifth~~ is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.

This interval is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.

It is also incredibly close to the minthmic fifth ([[176/117]], 706.8803{{cent}}), found ~~between~~ 13~~/16~~ and [[11/9]] (11/9 * [[16/13]] = 176/117).

It is also incredibly close to the major-minthmic fifth ([[176/117]], 706.8803{{cent}}), found as a stack of [[16/13]] and [[11/9]] ((11/9)⋅(16/13) = 176/117).

== See also ==

* [[Gallery of just intervals]]

~~[[Category:13-limit]]~~

[[Category:Fifth]]

[[Category:~~Gentle~~]]

[[Category:Minor minthmic]]

~~{{todo|add color name}}~~

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 182/121
+| Name = minor-minthmic fifth
-| Monzo = 1 0 0 1 -2 1
+| Color name = 3o1uuz6, tholuluzo 6th
-| Cents = 706.71768
-| Name = (tridecimal) gentle fifth
-| Color name =
 | Sound = Ji-182-121-csound-foscil-220hz.mp3
 }}
-'''182/121''', the '''(tridecimal) gentle fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a gentle comma ([[364/363]]) sharp of the perfect fifth ([[3/2]]). It is found between 11/14 and [[13/11]] (13/11 * [[14/11]] = 182/121).
+'''182/121''', the '''minor-minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363|minor-minthma (364/363)]] sharp of the perfect fifth ([[3/2]]). It is the stack of [[14/11]] and [[13/11]] ((13/11)⋅(14/11) = 182/121).
 == Approximation ==
-The gentle fifth is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.
+This interval is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.
-It is also incredibly close to the minthmic fifth ([[176/117]], 706.8803{{cent}}), found between 13/16 and [[11/9]] (11/9 * [[16/13]] = 176/117).
+It is also incredibly close to the major-minthmic fifth ([[176/117]], 706.8803{{cent}}), found as a stack of [[16/13]] and [[11/9]] ((11/9)⋅(16/13) = 176/117).
 == See also ==
 * [[Gallery of just intervals]]
-[[Category:13-limit]]
 [[Category:Fifth]]
-[[Category:Gentle]]
+[[Category:Minor minthmic]]
-{{todo|add color name}}