[comp.binaries.mac] Shepard Tones

oster@dewey.soe.berkeley.edu (David Phillip Oster) (01/01/88)

[Shepard Tones]

There recently has been a discussion on Usenet of Shepard tones, the audio
analog of the Escher endless staircase.

Here is a Macintosh version of the Shepard Tone effect.  The program lets
you go up or down forever, and includes an animated ball rolling around an
endless staircase.  See pages 717-719 of _Godel, Escher, Bach: an Eternal
Golden Braid_ Douglas Hofstadter, Basic Books, New York, 1979, for a
description of the sound algorithm.

This program was written in LightSpeed C.  I intend to write the code up
for MacTutor magazine.  The source code (not provided here) is an example
of:
1) a sprite graphic system, flicker free, with internal animation, and path
   editing.
2) a 4 octave 12 loudness 4 channel square wave music system, driven by VBL
   tasks so the music tempo remains accurate even if the animation lags.
3) an example of the use of Suspend/Resume events (The action pauses if you
   use anything else in multi-finder.  Under finder, it runs in background
   while you are using a desk accessory.)
4) an example of writing multi-finder compatible interrupt service tasks in
   LightSpeed C.

Shepard tones are often used in video games as a way of building suspense:
a melody phrase that ends higher than it began can be played continuously,
creating subconscious tension because we expect music to resolve.

Any similarity between this program "Shepard Tones" and a popular arcade game
that is not available for the Macintosh is purely coincidental, but my ego
would like it if there were a letter writing campaign to _Electronic Arts_,
1820 Gateway Drive, San Mateo, CA 94404 saying that you want it for the Mac,
and you know just the programmer to do it. :-)

This version, version 1.0, ignores the volume control.  In addition, the
Control Panel's volume control hangs the system if you use it while sound is
playing.  Shepard Tones should work on all macintoshes except the Mac XL.
(The Mac XL doesn't have four voice sound, so Shepard Tones will just beep
and exit.)  It has been tested on my personal MacPlus, and also on the
Mac II.

David Phillip Oster                --This sentence is a lifelike replica of
Arpa: oster@dewey.soe.berkeley.edu --one by Douglas Hofstadter.
Uucp: {uwvax,decvax,ihnp4}!ucbvax!oster%dewey.soe.berkeley.edu

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