h a l f b a k e r yProfessional croissant on closed course. Do not attempt.
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An additional gearbox is interposed between the engine and the wheels, having twelve ratios each differing by the twelfth root of two.
While the vehicle is driven at a constant speed, changing to a particular gear and changing the engine revolutions to match will result in a corresponding note being
generated at the exhaust.
An ensemble of similarly equipped vehicles will form a rolling band, and blast out harmonious compositions off the exhaust pipes.
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1. How many teeth, exactly, on each gear? |
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2. I think you mean disharmonious compositions, since that is the point of equal temperament: to make each interval equally slightly out of tune. All gearboxes in use at the moment are perfectly in tune, since the gear ratios form just intervals. |
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3. Two identical vehicles will not generate exactly the same tone, unless their pneumatic rubber tyres are replaced with rack-and-pinion road wheels. |
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There might be one shaft with these twelve wheels, having teeth in the sequence |
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(data provided by Don Lancaster at www.tinaja.com
"Equally tempered Music") |
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116-123-130-138-146-155 -164-174-184-195-207-219-232 |
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These are the nearest eight bit values - that is, the sequence that produces the best match to the chromatic scale while remaining below two raised to the eighth power, 256. |
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