(September 10, 2016 at 10:10 am)Alex K Wrote:(September 10, 2016 at 9:42 am)Little lunch Wrote: I'm going to go off track here a little.
I was looking at that chart with the colours corresponding to musical notes and was thinking, 'what about all the notes in between.'
The ones that middle eastern music plays like the notes between G and A flat, etc.
Then I remembered that there are infinite numbers between 1 and 2.
Are there infinite notes between G and A flat?
Can one note transcend or descend to another forever?
Yes. If you play the function
sin(2 pi * 440*(1+e^-t)*t)
as a sound (where t is in seconds), you get a note that quickly decends from a'' towards a' in a continuous fashion without ever reaching it. I might put it as a mp3 later l. Whether you call all that stuff "notes" is, I suppose, convention.
I realize my mathematical ansatz for the waveform of the descending tone was too naive. I need to refine it.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition
