26/25: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Name = large tridecimal third tone

~~| Ratio = 26/25~~

| Color name = 3ogg2, thogugu 2nd

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

~~| Cents = 67.90023~~

| Name =

| Color name =

| Sound = jid_26_25_pluck_adu_dr220.mp3

| Comma = yes

}}

In [[13-limit]] [[just intonation]], '''26/25''', the '''large tridecimal third tone''' appears as the difference between the 26th and 25th [[harmonic]]s. Thus it makes the difference between [[13/8]] and [[25/16]] (a stack of two [[5/4]]'s). If it is treated as a comma, then [[5/4]] and [[13/10]] both collapse to a Neogothic-flavored major third in between them representing half of 13/8. It measures about 67.9¢.

~~todo: add ''name'' and ''color name''~~

== Approximation ==

26/25 is very well approximated in [[53edo]] as 3\53 (+0.024{{cent}}), and in [[28edt]] as 1\28edt (+0.027{{cent}}). Its equal multiplication - 1ed26/25 - is effectively the same thing as 28edt.

~~In [[13-limit]] [[just intonation]],~~ 26/25 ~~appears as the difference between the 26th harmonic and the 25th. Thus it makes the difference between~~ [[~~13/8~~]] and [[~~25/16~~]] (~~a stack of two [[5/4]]'s~~). ~~It measures about 67.9¢~~.

== See also ==

* [[25/13]] - its [[octave complement]]

* [[27/26]] - the small tridecimal third tone

* [[Gallery of just intervals]]

* [[List of superparticular intervals]]

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

[[Category:Third tone]]

[[Category:~~Interval]]~~

[[Category:Commas named after their interval size]]

~~[[Category:todo~~]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Name = large tridecimal third tone
-| Ratio = 26/25
+| Color name = 3ogg2, thogugu 2nd
-| Monzo = 1 0 -2 0 0 1
-| Cents = 67.90023
-| Name =
-| Color name =
 | Sound = jid_26_25_pluck_adu_dr220.mp3
+| Comma = yes
 }}
+In [[13-limit]] [[just intonation]], '''26/25''', the '''large tridecimal third tone''' appears as the difference between the 26th and 25th [[harmonic]]s. Thus it makes the difference between [[13/8]] and [[25/16]] (a stack of two [[5/4]]'s). If it is treated as a comma, then [[5/4]] and [[13/10]] both collapse to a Neogothic-flavored major third in between them representing half of 13/8. It measures about 67.9¢.
-todo: add ''name'' and ''color name''
+== Approximation ==
+/25 is very well approximated in [[53edo]] as 3\53 (+0.024{{cent}}), and in [[28edt]] as 1\28edt (+0.027{{cent}}). Its equal multiplication - 1ed26/25 - is effectively the same thing as 28edt.
-In [[13-limit]] [[just intonation]], 26/25 appears as the difference between the 26th harmonic and the 25th. Thus it makes the difference between [[13/8]] and [[25/16]] (a stack of two [[5/4]]'s). It measures about 67.9¢.
 == See also ==
+* [[25/13]] - its [[octave complement]]
+* [[27/26]] - the small tridecimal third tone
 * [[Gallery of just intervals]]
 * [[List of superparticular intervals]]
-[[Category:13-limit]]
+[[Category:Third tone]]
-[[Category:Interval]]
+[[Category:Commas named after their interval size]]
-[[Category:todo]]