Quote:
Originally Posted by Keerakh Kal
So if pitches are rhythms, are rhythms pitches? If so, then when I play sixteenth notes on a table, I'm a playing an extremely low pitch? But what about the pitch of me actually hitting the table? Am I playing two notes at the same time? But if me hitting the table has a pitch, isn't that pitch a rhythm too?
~Kal
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Christopher Dunn-Rankin already answered the first question.
Regarding the question of whether you are playing two pitches at the same time: Technically yes (as long as you hitting the table is more or less clearly pitched). It's actually a very slow form of granular synthesis what you are doing, which is one of the methods to generate sound electronically: You have extremely short sound fragments, so-called "grains", that are played in extremely rapid succession thus creating a new tone. The resulting sound has both qualities of the pitch(es) of the original grains and the speed at which the grains are repeated.
Well, I generally agree that it may often be pointless to do such comparisations as it goes a bit against how we hear stuff. Hitting a table 5 times a second may be a "pitch" but we won't hear it as such, because of the already mentioned limits of our ears, so it may seem like a rather academic question.
-However- this idea can become quite practical when dealing with electronic music, where you can create smooth transitions between audible, individual pulses and pitches. The border between extremely low pitches and fast pulses can be very interesting (and is, again, quite typical for pieces created with granular synthesis).
This is of course almost impossible to do on classical instruments, as no human player can generally play so fast tone repetitions that it sounds like a pitch. However there are certain instrumental techniques which deal with this border. One of the most common way of turning pitches into pulses in instrumental music is when two notes are so close to each other that they start to beat.
Assume a cello for example, which plays a double stop, starting on an unison and slowly sliding into a greater interval. You will then hear a slow beating that grows faster and faster till it vanishes, due to the frequency differences of both notes.
Another way to instrumentally show the dual nature of pitches and pulses would be things like fluttertonguing on wind instruments. Generally this will produce a "pulse" sound, although a very rapid one. But if you play an extremely low note (let's say on a trombone) with fluttertongue the frequency of the played pitch and the frequency of the fluttertongue won't be very far away from each other, so they'll influence each other and break the tone apart in curious ways, as an interference.
Even pieces like Ligeti's "Atmosphères" deal with this phenomenon, in a very abstract way: Ligeti had experimented in an electronic studio with tones that follow each other extremely fast and found that this created a sound colour that was entirely different from colours you get by mixing sounds statically. He called this "Movement colour". While he couldn't imitate this effect very well on single instruments (although pieces like the harpsichord piece "Continuum" come very close to crossing the border between pulses and continuous sounds), he could achieve it by having lots of different instruments play different rhythms at the same time, so that the resulting rhythm of -all- instruments would be an extremely fast succession of notes which again would create this "Movement colour" that is so typical for Ligeti. Interesting stuff.