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Maths vs. Music - Tuning and harmony
#21
RE: Is there a real chance that there is a multiverse?
In guitarist circles it's said to sound more sonorous. My tuner is a fixed calibration a 440. My ears can't tell the difference.

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#22
RE: Is there a real chance that there is a multiverse?
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#23
RE: Is there a real chance that there is a multiverse?
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

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#24
RE: Is there a real chance that there is a multiverse?
(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

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#25
RE: Is there a real chance that there is a multiverse?
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

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#26
RE: Is there a real chance that there is a multiverse?
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

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#27
RE: Is there a real chance that there is a multiverse?
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

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#28
RE: Is there a real chance that there is a multiverse?

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#29
RE: Is there a real chance that there is a multiverse?
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#30
RE: Is there a real chance that there is a multiverse?
(September 10, 2016 at 4:10 pm)Alex K Wrote: https://dl.dropboxusercontent.com/u/4685...ngnote.mp3

How far in do you think you still hear differences in pitch?
The ability to hear differences in a single pitch probably isn't that high. However, the ability to hear the HARMONIC RELATIONSHIP BETWEEN pitches is epic. If you take a perfectly-tuned perfect fifth and detune it even a little bit, you can start to hear the "wah wha wahhhhh" from interference among the notes right away.


This means that our ability to tell the difference between pitches is almost infinitely better than our ability to tell the difference between different colors. That's why, for example, I can't use MIDI (which uses cents) in my tuning project. It's also why real audiophiles will never accept digital media as being better than a really good record player: the interference patterns lead to whistles, hums and buzzes that normally-gifted listeners don't notice. I, for one, can't hear the difference-- but I can totally understand how/why it's there.
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