Nothing, as the speed of sound doesn't change (about 340 metres per second in air). If the frequency (or pitch) were to be twice as high it would simply halve the wavelength.
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IF a wave moving at a constant speed were to have it's wavelength doubled (Wavelength x 2), then the frequency of the wave would be half of what it originally was (Frequency / 2).
Wavelength is halved.
The wave length would necessarily be one half. The speed would remain the same independent of the frequency.
Wavelength = 1/frequency. If you double the frequency, the wavelength drops to half.
The frequency also doubles of the wave length stays the same. Remember that Velocity = (the wavelength) x (the frequency)