From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 3125/3087
Factorization 3-2 × 55 × 7-3
Monzo [0 -2 5 -3
Size in cents 21.180848¢
Names Gariboh comma,
major BP diesis
Color name r3y5-3, triru-aquinyo negative 3rd
FJS name [math]\text{ddd}{-3}^{5,5,5,5,5}_{7,7,7}[/math]
Special properties reduced
Tenney height (log2 nd) 23.2016
Weil height (log2 max(n, d)) 23.2193
Wilson height (sopfr (nd)) 52
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~3.79297 bits
Comma size small
open this interval in xen-calc

3125/3087, the gariboh comma, also known as the major BP diesis, is a small 7-limit comma measuring about 21.2 ¢. It is the amount by which a stack of two 25/21's exceeds 7/5.


Tempering out this comma in the 7-limit leads to the rank-3 gariboh temperament. See Gariboh family for the rank-3 temperament family where it is tempered out. See Gariboh clan for the rank-2 temperament clan where it is tempered out.


The name gariboh was given by Gene Ward Smith in 2005. It is a contraction of garibaldi and bohpier, the latter itself being a contraction of Bohlen-Pierce[1].

The name major BP diesis was given on the relevant portion of the Huygens-Fokker website[2].