There is one thing more painful than learning from mistakes (our own or somebody else's): Not learning from them.  Barbara Johnson 
Law of OctavesThe Law of Octaves states that in a frequency sense, we can use an octave of a frequency to the same effect as the frequency itself. An octave is a doubling or halving of a frequency. Doubling would involve going up to the next higher octave while halving involves coming down an octave. So, if we have "A" at 440 Hz, the next higher octave would represent "A" at 880 Hz. The next lower "A" is at 220 Hz. The Law of Octaves then allows us to shift frequencies up or down by factors of 2 and achieve the same effect. In other words if we have a frequency that is out of range of a particular system, we can play a frequency that is an octave of that frequency to obtain the same feel or effect as from the original frequency. Scientific BasisThe concepts of harmonics, resonance and the musical aspect of the Law of Octaves are all fundamental to the proof of the law. ApplicationBioWaves has developed some beautiful charts showing the relationship between color and sound in its Scientific Color Chart. In these charts, BioWaves researched the color spectrum and the color of each frequency of light. By repeatedly stepping down the freuqency of lights by octaves, we eventually reached the musical scale, where, for example, we found blue to correspond with D#.


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