27/26: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Ratio = 27/26

| Monzo = -1 3 0 0 0 -1

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}}

In [[13-limit]] [[just intonation]], '''27/26''', the '''small tridecimal third tone''', appears as the interval between the Pythagorean major sixth of [[27/16]] and the thirteenth harmonic of [[13/8]]. It measures about 65.3¢. It is close in size to another 13-limit microtone – [[26/25]]. These intervals differ by the [[superparticular]] ratio 676/675, about 2.6¢, the island comma; tempering it out produces temperaments associated with [[The Archipelago]].

In [[13-limit]] [[just intonation]], '''27/26''', the '''small tridecimal third tone''', appears as the interval between the Pythagorean major sixth of [[27/16]] and the thirteenth harmonic of [[13/8]]. It measures about 65.3¢. It is close in size to another 13-limit microtone – [[26/25]]. These intervals differ by the [[superparticular]] ratio [[676/675]], about 2.6¢, the island comma; tempering it out produces temperaments associated with [[The Archipelago]].

27/26 is significant in [[Helmholtz-Ellis notation]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in [[Functional Just System]], that role is taken by [[1053/1024]].

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[[Category:13-limit]]

[[Category:~~Interval ratio]]~~

[[Category:Chroma]]

~~[[Category:Unison~~]]

[[Category:Third tone]]

[[Category:Medium comma]]

[[Category:Superparticular]]

[[Category:~~Listen~~]]

[[Category:Pages with internal sound examples]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
 | Ratio = 27/26
 | Monzo = -1 3 0 0 0 -1
@@ Line 10: / Line 9: @@
 }}
-In [[13-limit]] [[just intonation]], '''27/26''', the '''small tridecimal third tone''', appears as the interval between the Pythagorean major sixth of [[27/16]] and the thirteenth harmonic of [[13/8]]. It measures about 65.3¢. It is close in size to another 13-limit microtone – [[26/25]]. These intervals differ by the [[superparticular]] ratio 676/675, about 2.6¢, the island comma; tempering it out produces temperaments associated with [[The Archipelago]].
+In [[13-limit]] [[just intonation]], '''27/26''', the '''small tridecimal third tone''', appears as the interval between the Pythagorean major sixth of [[27/16]] and the thirteenth harmonic of [[13/8]]. It measures about 65.3¢. It is close in size to another 13-limit microtone – [[26/25]]. These intervals differ by the [[superparticular]] ratio [[676/675]], about 2.6¢, the island comma; tempering it out produces temperaments associated with [[The Archipelago]].
 /26 is significant in [[Helmholtz-Ellis notation]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in [[Functional Just System]], that role is taken by [[1053/1024]].
@@ Line 21: / Line 20: @@
 [[Category:13-limit]]
-[[Category:Interval ratio]]
+[[Category:Chroma]]
-[[Category:Unison]]
 [[Category:Third tone]]
 [[Category:Medium comma]]
 [[Category:Superparticular]]
-[[Category:Listen]]
+[[Category:Pages with internal sound examples]]