3125/3087
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Ratio
3125/3087
Factorization
3-2 × 55 × 7-3
Monzo
[0 -2 5 -3⟩
Size in cents
21.18085¢
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{nd}[/math])
~3.90506 bits
Comma size
small
open this interval in xen-calc
| Interval information |
major BP diesis
(Shannon, [math]\sqrt{nd}[/math])
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.
Temperaments
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.
Etymology
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].