Practice with abstractions: this assignment is to build an additive synthesis instrument that can imitate the Hammond organ sound. The Hammond organ had a set of eight "drawbars" (sliding potentiometers) that set the amplitudes of the first eight partials (harmonics) of the output tone. (There were lots of other features as well, but this is the one of interest here.) Your patch need not be polyphonic (it should be designed only to play one note at a time) but you should use the abstraction mechanism to make the eight overtones (each copy of the abstraction should make one of them).

Two novel features are, first, being able to use a "$" sign inside an object box to differentiate between the harmonics; and using the "moses" object to allow pitches below 10 (for example) to simply turn the sound off, so that you can make sequences with rests in them.

Your successful patch should sound like this.

To make the patch:

• Make a main patch with two tables, "sequence" (as before, but now try using 16 points instead of 8 with range set from 128 to 0 so you can store MIDI pitches in it conveniently. My numbers are 35 42 49 0 37 0 64 0 0 44 47 34 46 67 72 58.) and "drawbars", 8 values, ranging from 1 to 0. (Remember the range is set from the top of the graph to the bottom, which is why the range is specified backwards here). Make the usual counter arrangement to read through he values of "sequence". To make it easy, you can just use a "send" object to send the pitches into the abstraction. (In a later step, you will want to insert a "moses" object before the send to split off pitches that should be interpreted as "turn off" instead of a real pitch.)
• Make an abstraction named, for instance, "partial", and invoke eight of them, as "partial 1", ..., "partial 8". Then you can use "$1" inside the abstraction to do things that depend on the partial number. To start with, get the pitch (preferably in the simplest possible way, using a "receive" object), convert to frequency, multiply by "$", and use this as the frequency of an "osc~". This will make a sinusoidal tone at the harmonic.
• Arrange to add up all the sounds (using outlet~, or by adding them cumulatively as in the D07.additive.pd example) and multiply the result by a line~ to turn it on and off. Just an attack and release shape will be adequate for this example, and they may be fixed messages "1 10" and "0 10".
• Insert a "moses 20" object between the sequencer and the "send" that gets the pitches into the abstraction. When the pitch is >= 20 (right outlet of moses), send the pitch and turn on the line~. When the pitch is < 20, just turn off the line~. You now should have a sequencer that makes "rests" whenever the pitch is 0 or close to 0.
• Inside the abstraction, arrange to read the amplitude from the "drawbars" table. The easiest way to do this is to use "loadbang" into "f $1" which will generate a message whose value is the number of the partial, starting at one; then subtract 1 to make an input to a tabread~ object. This can be multiplied directly by the output of the osc~ to control its amplitude.

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