Arithmetic mean: Difference between revisions
Created page with "In tuning, the '''arithmetic mean''' or '''otonal mean''' generates new pitch materials by taking the mean in the arithmetic scale i.e. frequency. It can be said with respect..." |
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== Examples == | == Examples == | ||
The arithmetic mean of [[1/1]] and [[3/2]] is [[5/4]]: (1 + 3/2)/2 = (2/2 + 3/2)/2 = | The arithmetic mean of [[1/1]] and [[3/2]] is [[5/4]]: (1 + 3/2)/2 = (2/2 + 3/2)/2 = 5/4. | ||
The arithmetic mean of [[5/4]] and [[6/5]] is [[49/40]]: (5/4 + 6/5)/2 = (25/20 + 24/20)/2 = 49/40. | The arithmetic mean of [[5/4]] and [[6/5]] is [[49/40]]: (5/4 + 6/5)/2 = (25/20 + 24/20)/2 = 49/40. | ||
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== See also == | == See also == | ||
* [[ | * [[Pythagorean means]] | ||
* [[Inverse-arithmetic mean]] | ** [[Logarithmic mean]] | ||
** [[Inverse-arithmetic mean]] | |||
* [[Mediant]] | * [[Mediant]] | ||