27/25
Ratio | 27/25 |
Monzo | |0 3 -2> |
Size in cents | 133.23757 |
Name(s) | large limma |
Color name | gg2, gugu 2nd |
[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 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 subminor third, since (7/6)/(27/25)^2 = 4375/4374. Turning from microtempering to exotempering, 27/25 can be tempered out, leading to bug temperament, 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.