27/25: Difference between revisions

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m Fixed spelling error. Added commas
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| Cents = 133.23757
| Cents = 133.23757
| Name = large limma
| Name = large limma
| Color name = gg2, gugu 2nd  
| Color name = gg2, gugu 2nd
| FJS name = m2<sub>25</sub>
| Sound = jid_27_25_pluck_adu_dr220.mp3
| Sound = jid_27_25_pluck_adu_dr220.mp3
}}
}}


'''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.
'''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 [[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. Turning from microtempering to exotempering, 27/25 can be [[tempering out|tempered out]], leading to the [[bug family]] of temperaments, rather than the [[Ragismic microtemperaments #Ennealimmal|ennealimmal temperament]] which tempering out both the ennealimma and [[4375/4374]], the 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.
== See also ==
* [[Gallery of just intervals]]
* [[Large comma]]


[[Category:5-limit]]
[[Category:5-limit]]
[[Category:9edo]]
[[Category:9edo]]
[[Category:Interval]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Limma]]
[[Category:Limma]]
[[Category:Large comma]]
[[Category:Large comma]]
[[Category:Ratio]]
[[Category:Semitone]]
[[Category:Semitone]]
[[Category:Bug]]