27/25: Difference between revisions
m Fixed spelling error. Added commas |
Cleanup; + FJS name; +links |
||
| Line 5: | Line 5: | ||
| 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 [[ | '''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:Semitone]] | [[Category:Semitone]] | ||
[[Category:Bug]] | |||
Revision as of 10:17, 30 March 2021
| Interval information |
[sound info]
27/25, called the large limma or acute minor second, at 133.238 cents, 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 [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 subminor third, since (7/6)/(27/25)2 = 4375/4374. Turning from microtempering to exotempering, 27/25 can be tempered out, leading to the bug family of temperaments, rather than the 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.