3125/3087
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| 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.
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].