Binary logarithm: Difference between revisions

Rework
No edit summary
 
Line 1: Line 1:
{{Wikipedia}}
{{Wikipedia}}
The '''binary logarithm''', also called '''dual logarithm''' or '''logarithm base two''' (symbols: '''log<sub>2</sub>''', '''lb''', or '''ld''') of a value ''n'' is the power to which 2 is raised to obtain ''n''. It is part of the conversion formula for [[frequency ratio]] to interval size in [[cent]]s.  
The '''binary logarithm''', also called '''dual logarithm''' or '''logarithm base two''' (symbols: '''log<sub>2</sub>''', '''lb''', or '''ld''') of a value ''n'' is the power to which 2 is raised to obtain ''n''. The binary logarithm of a [[frequency ratio]] measures its size in [[2/1|octave]]s. [[Interval size measure]]s proportional to the octave, such as the [[cent]], can be found by multiplying the size in octaves by a constant.  


You can calculate the binary logarithm of ''n'' using the identity:  
You can calculate the binary logarithm of ''n'' using the identity: