Inverse-arithmetic mean: Difference between revisions
+"length mean"; "logarithmic mean" -> "geometric mean" |
Clarify that the arguments in this context are pitches or intervals, rather than arbitrary numbers |
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In tuning, the '''inverse-arithmetic mean''', '''utonal mean''', or '''length mean''' generates new pitch materials by taking the mean in the inverse-arithmetic scale of pitch i.e. the scale proportional to the length of a string to be divided. It can be said with respect to | In tuning, the '''inverse-arithmetic mean''', '''utonal mean''', or '''length mean''' generates new pitch materials by taking the mean in the inverse-arithmetic scale of pitch i.e. the scale proportional to the length of a string to be divided. It can be said with respect to pitches in frequency as well as intervals in frequency ratios on a certain common fundamental. | ||
The inverse-arithmetic mean ''f'' of two frequencies ''f''<sub>1</sub> and ''f''<sub>2</sub> is | The inverse-arithmetic mean ''f'' of two frequencies ''f''<sub>1</sub> and ''f''<sub>2</sub> is | ||