Beta and rho overlap from roughly 405 nm - 540 nm, and for most of that range, gamma will also produce a signal. The only place that we can get beta and rho without gamma is 405 nm - 425 nm. And in that range, beta is much more sensitive than rho.
There is no single wavelength in the visible spectrum that will stimulate equal signals from both beta and rho, without gamma.
But what if you mixed two beams of light - one around 405 nm (which would stimulate only beta), and one from 675 nm (which would stimulate only rho)? With this setup, you can jam into the brain combinations of signals that do not occur with pure spectral colors. And in this case, the brain perceives the combination as pink (if it's a light shade) or purple (if dark).
In addition to generating colors that are not found in the spectrum, you can fake colors that do exist in the spectrum. Shine 625 nm light into the eye, the photoreceptors in the eye get "mostly rho, with one quarter as much gamma", which the brain perceives as the color orange. But the brain will perceive the same color orange with a mixed beam of yellowish-green 550 nm (which stimulates more gamma than rho), sweetened up with a shot of 675 nm red (pure rho). [When two spectra are different, but look alike to the observer, they are called "metamers" or "monomers".]
When all of the cones are stimulated, the brain provides the sensation of "white". You also see white when presented with an extremely bright light of any color. This may be because, with the overlap of color sensors, a very bright light source will produce strong signals in all receptors.
You might remember back to your primary school art class, when Miss Arglebargle said "yellow and red make orange". Well, they don't make real orange. A prism can show the difference between Arglebargle Orange and the real thing. But they make something that fools your brain into perceiving orange - and that's good enough.
This is also the origin of the three "primary colors" that can be mixed to produce other colors. The colors work that way because the eye has light receptors tuned to the three primary wavelengths, and the brain perceives mixtures of these three stimulus wavelengths as a single different color.
Violet and purple appear to be the same because they are both created by combining blue and red hues. However, violet has more blue in it, while purple has more red. This slight difference in the color composition is what makes them appear similar.
No, violet and purple are different hues on the color spectrum. Violet is located closer to blue, while purple is located closer to red. They may appear to be similar, but they are distinct colors.
Violet and purple are often used interchangeably because they are close in color and have a similar visual appearance. Additionally, the names of these colors can be subjective and vary depending on cultural and personal associations.
Yes, there are differences in the meanings and symbolism associated with violet and purple. Violet is often associated with spirituality, intuition, and creativity, while purple is associated with luxury, royalty, and power.
The scientific reason for why violet and purple look the same is due to the way our eyes perceive color. Our eyes have receptors called cones that are responsible for detecting color. These cones are most sensitive to red, green, and blue wavelengths of light. Since both violet and purple contain a combination of blue and red, they can appear similar to our eyes.