6561/6400: Difference between revisions

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'''6561/6400''', the '''double syntonic comma''', is equal to 2 [[81/80]]'s stacked or 81/80<sup>2</sup>.
'''6561/6400''', the '''double syntonic comma''', is equal to two [[81/80]]'s stacked or (81/80)<sup>2</sup>.
 
== Sagittal notation ==
In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{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{{nbhsp}}{{sagittal | b }}-B{{nbhsp}}{{sagittal | \\! }}. The upward version is called '''1/25S''' or '''25S up''' and is represented by {{sagittal| //| }}.

Latest revision as of 08:31, 10 October 2024

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

[sound info]
Open this interval in xen-calc

6561/6400, the double syntonic comma, is equal to two 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 ⁠ ⁠.