Mu badness: Difference between revisions

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Created page with "TRYING TO TEST HOW MATH WORKS PAGE IS WIP (DON'T DELETE) <math>\sum_{\substack{2 \leq q \leq p \\ q \text{ prime}}} \left(\frac{\rround{x \log_2 q}}{\log_2 q}\right)^2</math>"
 
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TRYING TO TEST HOW MATH WORKS PAGE IS WIP (DON'T DELETE)
Mu is a function for equal tuning badness provided by Vector Graphics.


<math>\sum_{\substack{2 \leq q \leq p \\ q \text{ prime}}} \left(\frac{\rround{x \log_2 q}}{\log_2 q}\right)^2</math>
It is defined as:
 
<math>\mu\left(x\right)=\sum_{k=1}^{\infty}f\left(x,k\right)</math>
 
where
 
<math>f\left(x,k\right)=\frac{\operatorname{abs}\left(\operatorname{mod}\left(2g\left(k\right)x,2\right)-1\right)}{k^{2}}</math>

Revision as of 17:31, 11 March 2025

Mu is a function for equal tuning badness provided by Vector Graphics.

It is defined as:

[math]\displaystyle{ \mu\left(x\right)=\sum_{k=1}^{\infty}f\left(x,k\right) }[/math]

where

[math]\displaystyle{ f\left(x,k\right)=\frac{\operatorname{abs}\left(\operatorname{mod}\left(2g\left(k\right)x,2\right)-1\right)}{k^{2}} }[/math]