The relationship between frequency and wavelength
for both light and sound is the same: V = lf
For sound, V = 313 meters/sec, while for light V = C = 300 Thousand Kilometers/sec . In
both cases, f is in Hertz and l is in meters.
The Visual Spectrum's longest wavelength should
be the Fundamental wavelength of Red not the 1mm mark where Infrared light and
Microwaves meet. A Fundamental wavelength for Red of 0.7168 mm will not quite reach
down into the Microwave region, while a Fundamental wavelength of 1.4336 mm
will allow the Visual Spectrum to overlap the Microwave domain a little.
I have chosen the wavelength of 1.4336 millimeters
for the fundamental wavelength of Red. This is 11 octaves below Visible Red
so that the overlap with Microwaves will occur. Thus there will be no Infrared
gap between the Visual Spectrum and Microwaves.
The Visual Spectrum now begins
with a wavelength of 1.4336 millimeters. Lower harmonics of Red do exist, but
are excluded from the range of Reds within the Visual Spectrum.
The Visual Spectrum's shortest wavelength should
also be a harmonic of Red to complete its octave, and fall near the cusp between
Ultra-Violet and X-rays which ocurrs at a wavelength of 1 nanometer. The 10th harmonic
of Visible Red fits the bill with a wavelength of 683.6 picometers, just
inside the domain of X-Rays. The Visual Spectrum now ends at
a wavelength of 683.6 picometers.