27/25: Difference between revisions

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~~'''27/25'''~~

{{Infobox Interval

|~~0 3 -2>~~

| Name = large limma, acute minor second

| Color name = gg2, gugu 2nd

| Sound = jid_27_25_pluck_adu_dr220.mp3

| Comma = yes

}}

133.~~2376~~ cents

'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s is a large semitone interval which is a [[81/80|syntonic comma]] above the 5-limit minor second [[16/15]], or 2 syntonic commas above the Pythagorean minor second [[256/243]]. It has the remarkable property of almost exactly equaling a single step of [[9edo]], a step of which is 133 1/3 cents. Hence, nine large limmas fall just short of an octave by the [[ennealimma]] which is {{monzo| 1 -27 18 }}, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6|subminor third]], since (7/6)/(27/25)<sup>2</sup> = [[4375/4374]]. Tempering out both the ennealimma and [[4375/4374]], the ragisma, leads to the [[Ragismic microtemperaments #Ennealimmal|ennealimmal temperament]]. Ennealimmal is an extremely accurate temperament, while still being of a somewhat manageable complexity. Turning from microtempering to exotempering, 27/25 can be [[tempering out|tempered out]], leading to the [[bug family]] of temperaments.

[[~~File:jid_27_25_pluck_adu_dr220.mp3~~]] [[~~:File:jid_27_25_pluck_adu_dr220.mp3|sound sample~~]]

== See also ==

* [[Gallery of just intervals]]

* [[Large comma]]

~~'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238~~ [[~~cent|cent~~]]~~s, has the remarkable property of almost exactly equaling a singe step of~~ [[~~9edo|9edo~~]], a step of which is 133 1/3 cents. Hence nine large limmas fall just short of an octave by the [[ennealimma|ennealimma]] (meaning "nine limmas") which is |1 -27 18>, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6|subminor third]], since (7/6)/(27/25)^2 = 4375/4374. Turning from microtempering to exotempering, [[27/25|27/25]] can be [[tempering_out|tempered out]], leading to [[Bug_family|bug temperament]], rather than the [[~~Ragismic_microtemperaments#Ennealimmal|ennealimmal temperament]~~] ~~which tempering out both the ennealimma and 4375/4374, the [[ragisma|ragisma~~]~~], leads to.~~

[[Category:Second]]

[[Category:Semitone]]

~~Coincidentally 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.~~

[[Category:Limma]]

[[Category:9edo]]

[[Category:~~interval~~]]

[[Category:Bug]]

[[Category:~~limma~~]]

[[Category:Neutral second]]

[[Category:~~ratio~~]]

[[Category:Supraminor second]]

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

@@ Line 1: / Line 1: @@
-'''27/25'''
+{{Infobox Interval
-|0 3 -2&gt;
+| Name = large limma, acute minor second
+| Color name = gg2, gugu 2nd
+| Sound = jid_27_25_pluck_adu_dr220.mp3
+| Comma = yes
+}}
-.2376 cents
+'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s is a large semitone interval which is a [[81/80|syntonic comma]] above the 5-limit minor second [[16/15]], or 2 syntonic commas above the Pythagorean minor second [[256/243]]. It has the remarkable property of almost exactly equaling a single step of [[9edo]], a step of which is 133 1/3 cents. Hence, nine large limmas fall just short of an octave by the [[ennealimma]] which is {{monzo| 1 -27 18 }}, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6|subminor third]], since (7/6)/(27/25)<sup>2</sup> = [[4375/4374]]. Tempering out both the ennealimma and [[4375/4374]], the ragisma, leads to the [[Ragismic microtemperaments #Ennealimmal|ennealimmal temperament]]. Ennealimmal is an extremely accurate temperament, while still being of a somewhat manageable complexity.  Turning from microtempering to exotempering, 27/25 can be [[tempering out|tempered out]], leading to the [[bug family]] of temperaments.
-[[File:jid_27_25_pluck_adu_dr220.mp3]] [[:File:jid_27_25_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[Gallery of just intervals]]
+* [[Large comma]]
-'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent|cent]]s, has the remarkable property of almost exactly equaling a singe step of [[9edo|9edo]], a step of which is 133 1/3 cents. Hence nine large limmas fall just short of an octave by the [[ennealimma|ennealimma]] (meaning "nine limmas") which is |1 -27 18&gt;, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6|subminor third]], since (7/6)/(27/25)^2 = 4375/4374. Turning from microtempering to exotempering, [[27/25|27/25]] can be [[tempering_out|tempered out]], leading to [[Bug_family|bug temperament]], rather than the [[Ragismic_microtemperaments#Ennealimmal|ennealimmal temperament]] which tempering out both the ennealimma and 4375/4374, the [[ragisma|ragisma]], leads to.
+[[Category:Second]]
+[[Category:Semitone]]
-Coincidentally 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.
+[[Category:Limma]]
 [[Category:9edo]]
-[[Category:interval]]
+[[Category:Bug]]
-[[Category:limma]]
+[[Category:Neutral second]]
-[[Category:ratio]]
+[[Category:Supraminor second]]
+[[Category:Commas named after their interval size]]