h a l f b a k e r yFunny peculiar.
add, search, annotate, link, view, overview, recent, by name, random
news, help, about, links, report a problem
browse anonymously,
or get an account
and write.
register,
|
|
|
Please log in.
Before you can vote, you need to register.
Please log in or create an account.
|
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.
[link]
|
|
1. How many teeth, exactly, on each gear? |
|
|
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. |
|
|
3. Two identical vehicles will not generate exactly the same tone, unless their pneumatic rubber tyres are replaced with rack-and-pinion road wheels. |
|
|
There might be one shaft with these twelve wheels, having teeth in the sequence |
|
|
(data provided by Don Lancaster at www.tinaja.com
"Equally tempered Music") |
|
|
116-123-130-138-146-155 -164-174-184-195-207-219-232 |
|
|
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. |
|
| |