Other logarithmic scale units include the Richter magnitude scale point. Frequency levels or logarithmic frequency quantities have various units are used in electronics ( decade, octave) and for music pitch intervals ( octave, semitone, cent, etc.). The choice of unit generally indicates the type of quantity and the base of the logarithm.Įxamples of logarithmic units include units of information and information entropy ( nat, shannon, ban) and of signal level ( decibel, bel, neper). If only the ordinate or abscissa is scaled logarithmically, the plot is referred to as a semi-logarithmic plot.Ī modified log transform can be defined for negative input ( y<0) and to avoid the singularity for zero input ( y=0) so as to produce symmetric log plots: Y = sgn ( y ) ⋅ log 10 ( 1 + | y / C | ) Ī logarithmic unit is a unit that can be used to express a quantity ( physical or mathematical) on a logarithmic scale, that is, as being proportional to the value of a logarithm function applied to the ratio of the quantity and a reference quantity of the same type. Before the advent of computer graphics, logarithmic graph paper was a commonly used scientific tool. The geometric mean of two numbers is midway between the numbers.
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