To generate a list of tone frequencies, start with A=440Hz and multiply by 2^(1/12) to get the frequency of the next higher tone or divide by 2^(1/12) to go down to the next lower tone in the chromatic scale. Notice that the octave is 12 of these intervals away, making it's frequency (2^(1/12))^12 = 2 times the initial frequency.
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To generate a list of tone frequencies, start with A=440Hz and multiply by 2^(1/12) to get the frequency of the next higher tone or divide by 2^(1/12) to go down to the next lower tone in the chromatic scale. Notice that the octave is 12 of these intervals away, making it's frequency (2^(1/12))^12 = 2 times the initial frequency.