27/25: Difference between revisions

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'''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 [[ennealimmal]] (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 [[4375/4374|ragisma]], leads to.

'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s, 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 [[ennealimmal]] (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 [[4375/4374|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.

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

[[Category:5-limit]]

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-'''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 [[ennealimmal]] (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 [[4375/4374|ragisma]], leads to.
+'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s, 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 [[ennealimmal]] (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 [[4375/4374|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.
+Coincidentally, 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.
 [[Category:5-limit]]