The finite pulse waves. Relating to the finitude of possible Audio Cds, (2 ^ 6265728000) there are 65536 possible Cds of silence made from continuous unchanging numbers, (see www.jliat.com/silence) there are also sets of possible simple pulse waves. Here the set of pulse waves are SQUARE, SAW UP, SAW DOWN and TRIANGLE.

Given these sets of waves, 22050 for each, a basic set of building blocks exists allowing the creation of other ‘objects’. The first in this series is here*, the set of Major and Minor triads. Chords made from these samples where the root, or base is mixed with wave files of the musical intervals of 1/3rd and 1/5th – or the nearest arithmetical ratio (3.847 and 2.006 for major and 5.285 and 2.006 minor) again at 1htz intervals…

* these will be populated as an ongoing process...

Major   and   Minor   Triads   given   intervals   of   1/3   and   1/5  
are   :  
MAJ   3.847   &   2.006  
MIN   5.285   &   2.006  
 
Maximum   triad   which   1/5   is   under   22050   is   14715  
14715 18540.05849 22050.49352 18540 22050  
 
Given   4   wave   types   Square   Triangle     Saw   up   Saw   Down =  
 
 
 
(4+3-1)!                     6!                   720  
--------             =         ----         =       ---           =   20 x 2 Maj / Min = 40  
3!(4-1)!                   3!x3!                 36  
                                       
sss   MAJ
sst  
ssu  
ssd  
tts  
ttt  
ttu  
ttd  
uus  
uut  
uuu  
uud  
dds  
ddt  
ddu  
ddd  
stu  
tud  
uds  
dts  


link pulse waves

link Silences

link to jameswhitehead.org