3125/3087
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Ratio | 3125/3087 |
Factorization | 3^{-2} × 5^{5} × 7^{-3} |
Monzo | [0 -2 5 -3⟩ |
Size in cents | 21.180848¢ |
Names | Gariboh comma, major BP diesis |
Color name | r^{3}y^{5}-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 (log_{2} nd) | 23.2016 |
Weil height (log_{2} 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 |
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]}.