wolram said:That is all that is needed, three would be too complex, one can get the harmonics from two,
it hard to imagine there being three, but may be the third is an echo ?
marcus said:Wolram, it is a strange topic of discussion.
Hard to know if it is trivial or to be taken seriously.
Is it a real physics question, or just some philosophical preferences people have?
You are probably talking about George Matsas' paper.
The most remarkable thing is Matsas claim that what he is saying is empirically verifiable in the laboratory (!) in other words for him it is not just philosophy.
he says all you need is two dimensionful constants.
"Two Is Enough: Harmonics and Echoes" is a scientific principle that explains the relationship between harmonics and echoes in sound waves. It states that when two sound waves with the same frequency overlap, their amplitudes add up to create a louder sound, known as constructive interference. This also results in the formation of harmonics and echoes.
Harmonics and echoes occur when sound waves reflect off of surfaces and interfere with each other. This interference can either be constructive, resulting in louder sounds, or destructive, resulting in quieter sounds. The frequency and amplitude of the reflected waves are affected by the properties of the surface they bounce off of.
The "Two Is Enough" principle is applied in music when two musical notes with the same frequency are played simultaneously. This results in constructive interference, creating a louder and more complex sound. This principle is used intentionally in music composition to create harmonies and in instruments such as the guitar and piano.
Yes, the "Two Is Enough" principle can be observed in other forms of waves such as electromagnetic waves. When two electromagnetic waves with the same frequency overlap, they create a stronger and more intense electromagnetic field, leading to constructive interference. This principle is used in technologies such as radio and radar.
The "Two Is Enough" principle has various practical applications in fields such as music, acoustics, telecommunications, and radar technology. It is also used in medical imaging techniques such as ultrasound, where multiple sound waves are used to create a clearer image. Additionally, understanding this principle is crucial in noise control and room acoustics to reduce echoes and improve sound quality.