6561/6400

Revision as of 12:14, 9 October 2024 by Dave Keenan (talk | contribs) (Sagittal notation: Added the upward version)
Interval information
Ratio 6561/6400
Factorization 2-8 × 38 × 5-2
Monzo [-8 8 -2
Size in cents 43.01258¢
Name double syntonic comma
Color name lagugu unison, Lgg1
FJS name [math]\displaystyle{ \text{P1}_{5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 25.3236
Weil height (log2 max(n, d)) 25.3594
Wilson height (sopfr(nd)) 50

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6561/6400, the double syntonic comma, is equal to 2 81/80's stacked or (81/80)2.

Sagittal notation

In the Sagittal system, the downward version of this comma (possibly tempered) is represented by the sagittal ⁠ ⁠ and is called the 25 small diesis, or 25S for short, because the simplest ratio it notates is 16:25, as for example in E ⁠ ⁠:B ⁠ ⁠. The upward version is called 1/25S or 25S up and is represented by ⁠ ⁠.