The musical time space relationship

the musical time space relationship

The relation between architecture and music is based on their common geometrical and mathematical origins: rules of proportion, rhythm, and. Robert P. Morgan Musical Time/Musical Space put differently, the . musical relationships that exists prior to any given composition-a sys- tem of structural. Just as mathematical patterns underlie the musical scales and intervals and the geometry of the higher-dimensional space in which they are embedded. To date, the video has been watched more than million times.

the musical time space relationship

That line is called the particle's world line. It was only with the advent of sensitive scientific measurements in the mids, such as the Fizeau experiment and the Michelson—Morley experimentthat puzzling discrepancies began to be noted between observation versus predictions based on the implicit assumption of Euclidean space. Each location in spacetime is marked by four numbers defined by a frame of reference: The 'observer' synchronizes the clocks according to their own reference frame.

In special relativity, an observer will, in most cases, mean a frame of reference from which a set of objects or events are being measured. This usage differs significantly from the ordinary English meaning of the term. Reference frames are inherently nonlocal constructs, and according to this usage of the term, it does not make sense to speak of an observer as having a location.

Any specific location within the lattice is not important.

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The latticework of clocks is used to determine the time and position of events taking place within the whole frame. The term observer refers to the entire ensemble of clocks associated with one inertial frame of reference.

A real observer, however, will see a delay between the emission of a signal and its detection due to the speed of light. To synchronize the clocks, in the data reduction following an experiment, the time when a signal is received will be corrected to reflect its actual time were it to have been recorded by an idealized lattice of clocks. In many books on special relativity, especially older ones, the word "observer" is used in the more ordinary sense of the word.

It is usually clear from context which meaning has been adopted. Physicists distinguish between what one measures or observes after one has factored out signal propagation delaysversus what one visually sees without such corrections. History of special relativity and History of Lorentz transformations Figure Michelson and Morley expected that motion through the aether would cause a differential phase shift between light traversing the two arms of their apparatus.

The most logical explanation of their negative result, aether dragging, was in conflict with the observation of stellar aberration.

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By the mids, various experiments such as the observation of the Arago spot a bright point at the center of a circular object's shadow due to diffraction and differential measurements of the speed of light in air versus water were considered to have proven the wave nature of light as opposed to a corpuscular theory.

For example, the Fizeau experiment of demonstrated that the speed of light in flowing water was less than the sum of the speed of light in air plus the speed of the water by an amount dependent on the water's index of refraction. Prev NEXT In order to sidestep the issue of Newton's Third Law of Motion and the impossibility of matter traveling faster than the speed of lightwe can look to Einstein and the relationship between space and time.

Taken together, space, consisting of three dimensions up-down, left-right, and forward-backward and time are all part of what's called the space-time continuum. It's important to understand Einstein's work on the space-time continuum and how it relates to the Enterprise traveling through space. In his Special Theory of RelativityEinstein states two postulates: The speed of light about , meters per second is the same for all observers, whether or not they're moving.

the musical time space relationship

Anyone moving at a constant speed should observe the same physical laws. Putting these two ideas together, Einstein realized that space and time are relative -- an object in motion actually experiences time at a slower rate than one at rest.

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Although this may seem absurd to us, we travel incredibly slow when compared to the speed of light, so we don't notice the hands on our watches ticking slower when we're running or traveling on an airplane. Scientists have actually proved this phenomenon by sending atomic clocks up with high-speed rocket ships.

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They returned to Earth slightly behind the clocks on the ground. What does this mean for the Captain Kirk and his team? The closer an object gets to the speed of light, that object actually experiences time at a significantly slower rate.

If the Enterprise were traveling safely at close to the speed of light to the center of our galaxy from Earth, it would take 25, years of Earth time. For the crew, however, the trip would probably only take 10 years.

the musical time space relationship