Decibel increases map powers of ten to logarithms
Evidence
Use of the dB(SPL) scale results in a more convenient range of values (0 to 130) to consider, since values in the range of about 0 to 100 are common in everyday dealings. Also, it is a more appropriate basis for expressing acoustic amplitude values, changes in which are primarily perceived as variations in loudness, since loudness perception turns out to be essentially logarithmic in nature. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 611 (
#expands, via linked claim)
Categorization
- XREF: connects to: Logarithmic hearing means equal decibel steps need larger absolute pressure differences; Decibel sound levels cannot be added directly because they are logarithmic; Decibel values must be converted to ratios before they can be added (+8 more)
Broader Connections
- Decibel sound levels cannot be added directly because they are logarithmic
#expands(0.95) - Loudness perception is logarithmic, which is why decibel scales fit hearing so well.
#expands(0.95) - Loudness perception is essentially logarithmic
#expands(0.95) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 611 - Decibel values must be converted to ratios before they can be added
#expands(0.90) - Each 10 dB of level requires ten times the amplifier power
#exemplifies(0.90) - Adding equal sound intensities yields a 3 dB total increment
#exemplifies(0.90) - Sound level multiplications become decibel additions in reflections
#expands(0.85) - Musical scales are exponential, so changing the octave needs logarithmic scaling
#exemplifies(0.85) - Independent partitions sum their attenuation in decibels
#exemplifies(0.85) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2119 - Adding uncorrelated sound sources raises level as the square root of their number
#exemplifies(0.85)