6561/6400

From Xenharmonic Wiki
Revision as of 07:21, 10 October 2024 by Dave Keenan (talk | contribs) (Sagittal notation: Changed "simplest ratio" to "simplest interval". Changed colons to slashes and dash. Gave the truly-simplest (2,3-free) interval in addition to the octave-reduced interval. Replaced hair-space with nbhsp template call.)
Jump to navigation Jump to search
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 norm (log2 nd) 25.3236
Weil norm (log2 max(n, d)) 25.3594
Wilson norm (sopfr(nd)) 50

[sound info]
Open this interval in xen-calc

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 interval it notates is 25/1 = 5×5 (equiv. 25/16), as for example in E⁠ ⁠-B⁠ ⁠. The upward version is called 1/25S or 25S up and is represented by .