On Fri, 2007-08-31 at 14:59 +0200, Jens M Andreasen wrote: > Late one friday afternoon, a sound-engineer was sitting in his chair > admiring a brand new pair of flat frequency response monitors. He then > observed the following: > > For two frequencies represented by sine-waves and an octave apart to > have the same relative loudness, the higher octave will need to have its > amplitude adjusted to half of that of the lower octave.[1] > > Both frequencies will then force a membrane to travel the same distance > within a given timeframe - the higher will go half as far but twice as > often than the lower - and they will also both have the same speed or > steepness at the zero-crossing. > > Surprisingly, the lower frequency consumes four times as much energy > than the higher[2], although it is apparently not doing any more actual > work.
At a lower frequency the magnet has to work against the tension of the membrane for a longer time - I'm sure a speaker cone doesn't obey a perfect Hooke's law, but it may have something to do with it. --ll
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