27/25: Difference between revisions

Line 1:

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

{{Infobox Interval

|0 3 -2~~>~~

| Icon =

| Ratio = 27/25

| Monzo = 0 3 -2

| Cents = 133.23757

| Name = large limma

| Color name = gg2, gugu 2nd

| Sound = jid_27_25_pluck_adu_dr220.mp3

}}

133.~~2376~~ cents

'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s, has the remarkable property of almost exactly equaling a singe 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]] (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]] 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]], leads to.

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

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

'''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.

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

[[Category:9edo]]

[[Category:~~interval~~]]

[[Category:Interval]]

[[Category:~~limma~~]]

[[Category:Limma]]

[[Category:~~ratio~~]]

[[Category:Ratio]]

[[Category:Semitone]]

@@ Line 1: / Line 1: @@
-'''27/25'''
+{{Infobox Interval
-|0 3 -2&gt;
+| Icon =
+| Ratio = 27/25
+| Monzo = 0 3 -2
+| Cents = 133.23757
+| Name = large limma
+| Color name = gg2, gugu 2nd
+| Sound = jid_27_25_pluck_adu_dr220.mp3
+}}
-.2376 cents
+'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s, has the remarkable property of almost exactly equaling a singe 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]] (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]] 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]], leads to.
-[[File:jid_27_25_pluck_adu_dr220.mp3]] [[:File:jid_27_25_pluck_adu_dr220.mp3|sound sample]]
+Coincidentally 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.
-'''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.
-Coincidentally 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.
 [[Category:9edo]]
-[[Category:interval]]
+[[Category:Interval]]
-[[Category:limma]]
+[[Category:Limma]]
-[[Category:ratio]]
+[[Category:Ratio]]
+[[Category:Semitone]]