04-08-2010, 03:21 PM
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#1 | | Registered User
Joined: Mar 2005 Location: 2 miles from banville Posts: 3,584
| Delay is a fourth-dimensional effect in Minkowski space. Imagine a single point of zero dimensions. Imagine a second point and draw a line between it and the first. You have created one-dimensional space. If we were to draw a third point, and use lines to connect this point to the other two, we have created two-dimensional space. We have also created a triangle. Now, lets imagine a fourth point, and use lines to connect it to the other three. We now have three-dimensional space, with a tetrahedron to represent it. Now that we're thinking about the tetrahedron, imagine that same tetrahedron, only five seconds into the future. Now connect all four three-dimensional points to their respective futuristic counterparts using lines. We are now thinking of one tetrahedron, but two different versions of it representing different incarnations at two different instances in time. Remember, this is Minkowski space, not Euclidean space, so it would not be a Simplex.
Now, imagine you're playing an electric guitar. We can represent each note or chord (we'll refer to them as notes for simplicity) with an electrical signal, and since electrical signals must travel through conductive materials, we can imagine each note as a third-dimensional object located at the exact point in space that the electrical signal is on the conductive path in three dimensions. Now, what happens when we run the note through a delay effect? The note is copied before it proceeds on its merry way, and after a certain amount of time, an exact copy of that note is replicated at the delay and sent along the same path the original was.
Lets imagine this mathematically. Lets say our note can be defined as n(0)={l,w,d,t}, where l is length, w is width, d is depth, and t is time. The first three dimensions refer to its three-dimensional position in space, which is an exact point in the conductive path in reality, but for our purposes we will use abstract measurements and consider the conductive path represented by four specific points. The guitar is being worn on the shoulder, so the origin of the path will be represented as c(0)={0,0,1}. The cable drops to the ground and goes to the delay, and we'll say the delay is at c(1)={0,1,0}. From there, the cable travels across the floor some more, and we'll call that c(2)={1,2,0}, until it finally hits the amplifier, which we'll call c(3)={2,2,1}.
Now lets picture a note, n(0). We'll call the time the note hits one of the points we're watching in the conductive path t, so if n(0)=c(0), this is happening at t=0, if n(0)=c(1), this happens at t=1, and so forth. So, when t=1, n(0)={0,0,1}; or for simplicity n(0)={0,0,1,0}. At time-point 1, n(0) hits the delay and is stored, creating n(1)={0,0,1,-1} while n(0)={0,1,0,1}. Notice how n(1)'s dimension of t is set to zero and the spatial dimensions put it at c(0)? This is because third-dimensional n(1) is an exact copy of third-dimensional n(0), so even though it doesn't exist yet in time, it must still "start" in the same place. n(0) moves on to the cable between the delay and the amp, so n(0)={1,2,0,2}, and n(1) moves forward to n(1)={0,1,0,0}. This causes n(1) to physically enter the signal path. when n(0)={2,2,1,3} and sounds, n(1)={1,2,0,1}. When n(1) hits the amp and becomes heard at {2,2,1,2}, n(0)={l,w,d,4}.
As I have shown, Delay creates exact copies of electrical signals and re-inserts them into the signal path, with the delay unit becoming the new chronological origin point. Thus, the delay can be considered to be copying signals across the fourth dimension.
Any thoughts?
__________________ RubberChipmunk
Mar 2005 - Oct 2010
Never forget the lulz. |
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04-08-2010, 03:52 PM
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#2 | | indeed.
Joined: Jul 2004 Location: California Posts: 9,771
| That actually made sense. |
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04-08-2010, 04:06 PM
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#3 | | recovering user
Joined: Mar 2004 Posts: 4,793
| Right. I didn't read any of that, but I already knew that delay existed in the fourth dimension.
Delay exists in the dimension of suck. |
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04-08-2010, 04:12 PM
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#4 | | #beastmode
Joined: Oct 2007 Location: Canada Posts: 2,745
| lol ppl being smart in cpf lol
__________________ My songs. || My thoughts.
"And I don't see my brokeness anymore, when I'm seated at the table of the Lord" - Leeland Quote:
Originally Posted by Not Chris  There are girls here. | Quote:
Originally Posted by mattslope You're e-dating men, dude. | |
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04-08-2010, 04:19 PM
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#5 | | Algebraic!
Joined: Apr 2001 Location: San Diego, CA Posts: 24,454
| Sorry, my brain cannot imagine a single point consisting of no dimensions. |
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04-08-2010, 04:27 PM
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#6 | | Chyeah
Joined: Nov 2009 Location: Location: Location: Location Posts: 91
| tl;dr |
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04-08-2010, 04:48 PM
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#7 | | I'm on a horse. Super Moderator
Joined: Jun 2003 Location: Seattle, WA. Posts: 26,974
| Philosophically speaking, are the delayed signal and the sound wave associated with that delayed signal equatable? Can they be considered dimensionally consistent? |
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04-08-2010, 04:52 PM
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#8 | | I'm on a horse. Super Moderator
Joined: Jun 2003 Location: Seattle, WA. Posts: 26,974
| Not to mention exact copies are impossible, and are a result of mechanical mimicry, not an intrinsically occurring phenomenon, such as, say, a reflection. |
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04-08-2010, 05:00 PM
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#9 | | recovering user
Joined: Mar 2004 Posts: 4,793
| Quote:
Originally Posted by Rainer. Not to mention exact copies are impossible, and are a result of mechanical mimicry, not an intrinsically occurring phenomenon, such as, say, a reflection. | Right. So it's phoney anyway.
And who wants poser music? Not me.... |
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04-08-2010, 05:09 PM
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#10 | | I'm on a horse. Super Moderator
Joined: Jun 2003 Location: Seattle, WA. Posts: 26,974
| Your face is phoney. |
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04-08-2010, 05:20 PM
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#11 | | Moderator
Joined: Apr 2006 Location: The Star Destroyer Chimeara Posts: 4,772
| Delayed notes are still as much electrical currents as any other notes produced. YOUR ARGUMENT IS INVALID LOLOLOL
Also, cpffail
__________________ Quote:
Originally Posted by gtrdave The key to great tone is really found in the kind of hand soap that you use.
For years I used a typical off-the-shelf bar-type soap and I had no idea that, even though I rinsed properly and thoroughly after every cleansing, there was still a soap scum residue on my hands and fingers.
This negatively affected my tone in ways that I just can't describe.
Then, on a whim, a few years ago I wandered into a Bath and Body Works store at a local mall and picked up some of their gentle foaming anti-bacterial hand cleansers.
The difference in my guitar's sound is so wickedly improved that I no longer feel the need to buy a new amp or pedals or even strings...EVER!
So, it's my belief that tone is in the soap.
Thank you and goodnight. | |
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04-08-2010, 06:29 PM
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#12 | | Registered User
Joined: Mar 2005 Location: 2 miles from banville Posts: 3,584
| Quote:
Originally Posted by thesteve Sorry, my brain cannot imagine a single point consisting of no dimensions. | That's what a point is. A single point in space of indeterminate size (zero-dimensional) has no length, width, or depth. A line is a single-dimensional object consisting of length which connects two zero-dimensional points together, creating the first dimension. A first-dimensional point would be connected to another first-dimensional point in the second dimension, and so forth. Quote:
Originally Posted by Rainer. Philosophically speaking, are the delayed signal and the sound wave associated with that delayed signal equatable? Can they be considered dimensionally consistent? | What do you mean by "dimensionally consistent?" Quote:
Originally Posted by Rainer. Not to mention exact copies are impossible, and are a result of mechanical mimicry, not an intrinsically occurring phenomenon, such as, say, a reflection. | In theory, the delayed signal is an exact third-dimensional copy of the original signal, re-introduced into the signal path after a predetermined amount of time. Granted, in practice there is signal degradation and imperfection due to technology. Plus, the delay unit itself is designed to introduce degradation (frequency, mix, etc. controls). Just because we are intentionally altering the delayed signal doesn't mean in its original copied state before being introduced back into the signal path it isn't for theoretical purposes identical across three dimensions. Quote:
Originally Posted by nbfan Delayed notes are still as much electrical currents as any other notes produced. YOUR ARGUMENT IS INVALID LOLOLOL
Also, cpffail | Delayed notes are electrical currents, but they are copies of the original electrical current.
__________________ RubberChipmunk
Mar 2005 - Oct 2010
Never forget the lulz. |
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04-08-2010, 06:36 PM
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#13 | | Algebraic!
Joined: Apr 2001 Location: San Diego, CA Posts: 24,454
| Quote:
Originally Posted by RubberChipmunk That's what a point is. A single point in space of indeterminate size (zero-dimensional) has no length, width, or depth. A line is a single-dimensional object consisting of length which connects two zero-dimensional points together, creating the first dimension. A first-dimensional point would be connected to another first-dimensional point in the second dimension, and so forth. | I understand the concept. The problem is that as soon as I imagine it, it gains dimensions and as such is instantaneously two dimensional. |
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04-08-2010, 06:38 PM
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#14 | | Registered User
Joined: Mar 2005 Location: 2 miles from banville Posts: 3,584
| Quote:
Originally Posted by thesteve I understand the concept. The problem is that as soon as I imagine it, it gains dimensions and as such is instantaneously two dimensional. | I used to have that difficulty. Just view the point as an abstract concept that has no dimensions.
__________________ RubberChipmunk
Mar 2005 - Oct 2010
Never forget the lulz. |
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04-08-2010, 07:07 PM
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#15 | | Chyeah
Joined: Nov 2009 Location: Location: Location: Location Posts: 91
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