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standing waves are the result of superposition of two sinusoidal waves of the {same/different} frequency and the {same/different} amplitude, traveling in the {same/different} directions
same; same; different
how should the length be changed if you want to double the frequency?
doubling frequency requires half the length
what will the frequency of an open pipe become if one end of the pipe is cloed?
closing one end cuts frequency in half
complete these major triads: { C - E - __ }, { F - A - __ }, and { G - B - __ }
G; C; D
advantages of the tempered scale
transposition (changing key) does not require tuning
disadvantages of the tempered scale
some intervals have no harmony
advantages of the just scale
most intervals are harmonious
disadvantages of the just scale
transposition is difficult or impossible without retuning
what does fourier’s theory tell us about representing complicated waveforms in terms of sine waves?
fourier tells us that we can represent a complex waveform as a sum of sine waves whose frequencies are multiples of the fundamental f, 2f, 3f, 4f…