Carultch
Senior Member
- Location
- Massachusetts
It is a measure, but it is more problematic to call it a "unit". The problem is that it does not have any consistent dimensionality.
There would be a similar problem if instead of describing the color of monochromatic light in terms of its frequency in Hz or its wavelength (in Angstoms or mm), you chose to describe it by a number representing its position in the rainbow starting from red = 0 and going to violet = 6.
A descriptor, but not really a unit.
Good point. Other examples are the decibel scale for amplifier gain and sound intensity, the phon scale for sound loudness, the scale of music notes and octave number, and the pH scale for acid/bases.
All examples of non-linear scales based on a corresponding real world unit, which are set up the way that they are to better coincide with our experience of the concept in question. Human hearing is logarithmic, as something that sounds incrementally louder is actually multiplicatively more intense in terms of power per unit area. And an interval of tones that sounds incrementally higher in pitch, is actually multiplicatively higher in frequency.