6561/6400: Difference between revisions

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Sagittal notation: Added the upward version
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== Sagittal notation ==
== 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 ratio it notates is 16:25, as for example in E{{sagittal | b }}:B{{sagittal | \\! }}.
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 ratio it notates is 16:25, as for example in E {{sagittal | b }}:B {{sagittal | \\! }}. The upward version is called '''1/25S''' or '''25S up''' and is represented by {{sagittal| //| }}.

Revision as of 12:14, 9 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 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 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 .