Arithmetic mean: Difference between revisions

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In tuning, the '''arithmetic mean''' or '''otonal mean''' generates new pitch materials by taking the mean in the arithmetic scale i.e. the scale of frequency. It can be said with respect to frequencies or frequency ratios on a certain common fundamental.  
In tuning, the '''arithmetic mean''', '''otonal mean''', or '''frequency mean''' generates new pitch materials by taking the mean in the arithmetic scale of pitch i.e. the scale proportional to frequency. It can be said with respect to pitches in frequency as well as intervals in frequency ratios on a certain common fundamental.  


The arithmetic mean ''f'' of two frequencies ''f''<sub>1</sub> and ''f''<sub>2</sub> is  
The arithmetic mean ''f'' of two frequencies ''f''<sub>1</sub> and ''f''<sub>2</sub> is  
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== See also ==
== See also ==
* [[Pythagorean means]]
* [[Pythagorean means]]
** [[Logarithmic mean]]
** [[Geometric mean]]
** [[Inverse-arithmetic mean]]
** [[Inverse-arithmetic mean]]
* [[Mediant]]
* [[Mediant]]


[[Category:Theory]]
[[Category:Pythagorean means]]
[[Category:Terms]]
[[Category:Terms]]
[[Category:Elementary math]]
[[Category:Elementary math]]