Here is a chart showing how frequencies and scales can be produced. The frequency of 440 hertz could have been any other frequency. Once this frequency is chosen, it is multiplied by the ratios to produce the first column of frequencies. Each of these 12 frequencies is used to start its own column. (See the dotted red line for one example.) Any five frequencies in a column can be chosen to make a pentatonic scale, as long as they are not right together and are not more than two apart.
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