3125/3087

Interval information

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
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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, or the amount by which a stack of three 7/5s exceeds two 5/3s.

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, headed by 3.5.7 sirius temperament. Additionally, it can be tempered out in the 2.5/3.7/3 fractional subgroup, leading to gariberttet.

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.

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