# Logarithmic Scale

A logarithmic scale is a scale of measurement that displays the value of a physical quantity using intervals corresponding to orders of magnitude, rather than a standard linear scale.

A simple example is a chart whose vertical or horizontal axis has equally spaced increments that are labeled 1, 10, 100, 1000, instead of 1, 2, 3, 4. Each unit increase on the logarithmic scale thus represents an exponential increase in the underlying quantity for the given base (10, in this case).

Presentation of data on a logarithmic scale can be helpful when the data covers a large range of values. The use of the logarithms of the values rather than the actual values reduces a wide range to a more manageable size. Some of our senses operate in a logarithmic fashion (Weber–Fechner law), which makes logarithmic scales for these input quantities especially appropriate. In particular our sense of hearing perceives equal ratios of frequencies as equal differences in pitch. In addition, studies of young children in an isolated tribe have shown logarithmic scales to be the most natural display of numbers by humans.

### Other articles related to "logarithmic, logarithmic scale, scale":

Logarithmic Timeline
... A logarithmic timeline is a timeline laid out according to a logarithmic scale ... Logarithmic timelines have also been used in future studies to justify the idea of a technological singularity ... A logarithmic scale enables events throughout time to be presented accurately, but enables more events to be included closer to one end ...
Order Of Magnitude - Non-decimal Orders of Magnitude - Extremely Large Numbers
... Similar to the logarithmic scale one can have a double logarithmic scale (example provided here) and super-logarithmic scale ...
Logrithm - Applications - Logarithmic Scale
... as logarithms of other quantities, using a logarithmic scale ... For example, the decibel is a logarithmic unit of measurement ... This is used in the moment magnitude scale or the Richter scale ...
Estimating Values in A Diagram With Logarithmic Scale - Logarithmic Interpolation
... Interpolating logarithmic values is very similar to interpolating linear values ... In logarithmic interpolation, a ratio of logarithmic values is set equal to a ratio of linear values ... For example, consider a log base 10 scale graph of paper reams sold per day measuring 19⅟32 inches from 1 to 10 ...

### Famous quotes containing the word scale:

... the meanest life, the poorest existence, is attributed to God’s will, but as human beings become more affluent, as their living standard and style begin to ascend the material scale, God descends the scale of responsibility at a commensurate speed.
Maya Angelou (b. 1928)