1 decibel of increase of sound level is the smallest increase (or decrease) in level that may be discerned by the average person. It corresponds to an increase in level of about 25%. [The 10th root of 10 is another similar expression.] The decibel was initially used to measure changes in signal level in a line. Named after Alexander Graham Bell. One Bell - 10dB - sounds twice as loud to those same average individuals.
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Quite simply, it doesn't work that way! Decibels are used to describe the RATIO between two magnitudes - often, between two powers; in such a way that 10 decibels represent a ratio of 1:10, 20 decibels represent a ratio of 1:100, 30 decibels represent a ratio of 1:1000, etc. In other words, it's a logarithmic scale. It's also used as an absolute scale for things like sound intensity or the power of an electrical signal; in that case, because of the way decibels are defined, a reference point must be chosen.
An increase of 1 decibel means 25.9% more power than before.
A decrease of 1 decibel means 20.6% less power than before.
There is no point in doing either one of these. A decibel, being the log of a ratio, is added to or subtracted from another decibel.
one tenth Bel = 1 deciBel = 1 dB
A unit of power or intensity equal to one tenth of a bel is a decibel.
Deci is one-tenth. Bel is for Alexander Graham Bell.
The decibel scale is a logarithmic scale. Scroll down to related links and look at "Decibel - Wikipedia" and "Sound level meter - Wikipedia".