Geometric mean: Difference between revisions
Created page with ": ''"Mean" redirects here. For other types, see Pythagorean mean.'' In tuning, the '''logarithmic mean''', '''geometric mean''', or simply '''mean''' generates new pitch..." |
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: ''"Mean" redirects here. For other types, see [[Pythagorean | : ''"Mean" redirects here. For other types, see [[Pythagorean means]].'' | ||
In tuning, the '''logarithmic mean''', '''geometric mean''', or simply '''mean''' generates new pitch materials by taking the mean in the [[Wikipedia: Logarithmic scale|logarithmic scale]] i.e. pitch. It can be said with respect to frequencies or frequency ratios on a certain common fundamental. | In tuning, the '''logarithmic mean''', '''geometric mean''', or simply '''mean''' generates new pitch materials by taking the mean in the [[Wikipedia: Logarithmic scale|logarithmic scale]] i.e. the scale of pitch. It can be said with respect to frequencies or frequency ratios on a certain common fundamental. The idea of treating [[quarter-comma meantone]] as the "strict" meantone is backed by this type of mean. | ||
The logarithmic mean ''f'' of two frequencies ''f''<sub>1</sub> and ''f''<sub>2</sub> is | The logarithmic mean ''f'' of two frequencies ''f''<sub>1</sub> and ''f''<sub>2</sub> is | ||
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== See also == | == See also == | ||
* [[Arithmetic mean]] | * [[Pythagorean means]] | ||
* [[Inverse-arithmetic mean]] | ** [[Arithmetic mean]] | ||
** [[Inverse-arithmetic mean]] | |||
* [[Mediant]] | * [[Mediant]] | ||