Geometric mean: Difference between revisions
m FloraC moved page Logarithmic mean to Geometric mean without leaving a redirect: "Logarithmic mean" is in conflict |
m Mention cents to ease beginners |
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: ''"Mean" redirects here. For other types, see [[Pythagorean means]].'' | : ''"Mean" redirects here. For other types, see [[Pythagorean means]].'' | ||
In tuning, the '''geometric mean''', '''pitch mean''', or simply '''mean''' generates new pitch materials by taking the mean in the [[Wikipedia: Logarithmic scale|logarithmic scale]] of pitch i.e. the scale proportional to the logarithm of frequency. 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. | In tuning, the '''geometric mean''', '''pitch mean''', or simply '''mean''' generates new pitch materials by taking the mean in the [[Wikipedia: Logarithmic scale|logarithmic scale]] of pitch i.e. the scale proportional to the logarithm of frequency, such as [[cent]]s. 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 geometric mean ''f'' of two frequencies ''f''<sub>1</sub> and ''f''<sub>2</sub> is | The geometric mean ''f'' of two frequencies ''f''<sub>1</sub> and ''f''<sub>2</sub> is | ||