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### Author: admin | Category: How To Learn Piano | 15.01.2016

Because of this complex situation the symbolic operator for music has never been fully resolved. The symbolic operators of antiquity serve as templates of a hyperbolic versor operator, and hence enter the subject. The hyperbolic versor operator exists in contra-distinction to the circular versor operator.
The functions of the natural log base, , introduces the limitation that operation is only possible in Cartesian relations, that is, a system of rectangular co-ordinates or the octaves thereof. Therefore a division of three units such as encountered in three phase electrical systems cannot be expressed as exponents or functions of the natural log base, . Here evoked is the idea of Oliver Heaviside that the vector and the versor should not be intertwined.
The engineering form of the versor operator was born by Steinmetz but was killed at birth, frozen into vector Cartesian form.
This “instrument” serves as a versor analog computer for the Solar System, and in a strange way also for the Tesla Magnifying Transciever. On a practical level this is why the ideas of Nikola Tesla are so incomprehensible to the modernistic way of thinking. Familiarizing yourself with your piano keyboard is a great way to get your mind and body in sync with it. Regardless of what song you’re playing, you always want to position yourself in front of the middle C key. This is the exact center of your piano and you want to be able to reach all the keys that are within the piece you’re playing.
An octave is a range of keys that start and end with the same key but at a higher or lower pitch. This image repeats the second octave from above because I wanted to give you an idea of where the third octave lies.
The fourth octave, C4 D4 E4 F4 G4 A4 B4, is the most commonly played octave because it sits right in the middle of your piano keyboard. Octave 5 is within the middle right of your keyboard and is one octave higher from middle C.
As you begin taking piano lessons, you’ll become more acquainted with your piano keyboard.
In order to serve you better and get a faster reply , If you have request about above questions. In addition, the transit time depends on where you're located and where your package comes from. 5) Imprima o boleto e efetue o pagamento em qualquer agencia bancaria, caixa-eletronico ou online banking. I'll bet my house that you are familiar with that musical structure, even if you don't know it by its formal name, the major scale. Sing the scale a few times and ask yourself this question: are the intervals that make it up all the same?
Over the past century or two, after many previous centuries of dispute and experimentation, the named keys have become associated with fixed pitch frequencies. To tell the truth, if you're not a practicing musician or planning to become one, I can't see how knowing about the names of keys will contribute to your listening skills or your musical pleasure. In fact, that's the smallest interval there is in standard music theory; it is called the minor second. Playing a series of ascending or descending minor seconds, as in Example 7, obliterates the musical order created by the major scale. The interval formed by every other piano key - that is, minor second plus minor second -  is called a major second. In this remarkable piece, Anton Webern's 3rd Bagatelle for String Quartet, it was Webern's explicit intention to do away completely with the organizing force of the major or minor scale. The log-periodic sequence is a scaling factor of proportionality and serves as an innate property of human perception, hence the “Deci-Bell”. This span represents the sequence of human versor positions in the infinite log-periodic sequence of the musical universe.
There are 88 individual keys or “notes” these representing unit versor positions of the various musical scales. Each cycle, or period, on the music keyboard is divided into 12 subdivisions, that is 12 keys constitute one octave, Fig 2. The first complications is that the unit versor positions are not distributed in a uniform fashion, Fig 4C.
Here exists both the dimension of space as a wavelength, and the dimension of time as a pitch.
The mind regards the log-periodic span of one octave as once complete cycle, a circular function, whereas the log-periodic cycle is a hyperbolic function. What has developed is a distributed correction factor resulting in the musical intervals becoming a bit out of tune. The familiar circular versor operator was employed by Steinmetz but the hyperbolic versor remains an enigma.
This symbolic representation is a natural extension of the Steinmetz “Roots of the Unit” in “Theory and Calculation of A.C. This concept led to a symbolic operator developed by Robert Fludd (1574 – 1637 AD), it is known as the “Divine Monochord”. It is a given in the “Mind of Today” that Tesla was a “little funny in the head”, this in part because of his manner of co-ordinating his lifes movements with numbers divisible by three. In the universe of human cultures that inhabited this Earth thru the eras of ancient times it was generally considered that the Sun was the center of things, the major heavenly bodies rotated around it.

In modernistic relativity it is now that one over c square is the center of the universe with time and space revolving around it. You help yourself perform better and become one when you have a clear understanding of your keys and how they work. Each key produces a different sound as you play them one at a time, starting from the first white key on the left to the very last white key on the right.
Sitting in the correct position is crucial not only for your piano lessons but for the performances you’ll be playing. Besides each key having a letter name, the entire keyboard is broken up into two-alphanumeric characters that distinguishes the eight octaves, which is called scientific pitch notation. C4 is middle C and as mentioned earlier in this post, this is where you want to place yourself when playing your songs and exercises. Once your order is shipped, you will be emailed the tracking information for your order's shipment.
If you are in a European country; simply choose Priority Direct Mail and it will be shipped via Netherlands Direct Mail. In that song, kids are taught the scale using a mnemonic code - do re mi fa sol la ti do - that has been around for centuries in one form or another.
If you have not been prejudiced by previous musical training, I think it's very natural to answer "yes." The steps of the scale seem so familiar and so natural, they all seem to work so nicely together. No matter what key you start on, the pattern repeats in groups of 12, leaving 4 orphan keys to finish the 88. That is, each key in the pattern is an octave away from the corresponding key in the adjacent pattern(s). For example, A3 on our virtual keyboard - and on all correctly tuned piano keyboards the world over - has a frequency of 440 Hz. In standard music notation, there is no way to write down two notes closer together in pitch.
We're left with an undifferentiated series of notes in which none has the quality of being a home base. If you go back to the virtual keyboard and play the scale starting on C again, you'll see that steps 3 and 4 as well as steps 7 and 8 are separated by half steps; all other steps are a whole step apart. The answer is no: a complex piece like a Mozart Symphony or a Chopin Nocturne will typically use up all 12 notes fairly quickly.
What would happen if a composer were to write music in which all notes are equal, in which there is no natural resting point, as in Example 7? It so happens that I love this and its five companion pieces - my wife Gretta and I heard them performed in Philadelphia just the other night at a concert that made them sound positively old-fashioned - but I fully sympathize with anyone who doesn't.
As you may be figuring out by now, like so many questions involving the brain's relationship to sound, nobody knows.
To the right of the span is an infinite progression growing larger and larger, to the left of the span is an infinite regression shrinking smaller and smaller. This relates directly to the original Pythagorean concept of music, the expression of man’s POSITION in the cosmos.
Each fundamental span from the Tonic C to the Octave C, is a single log-periodic cycle called the octave cycles on the standard music keyboard.
The product of this pair of dimensions, length and one over Time, is the dimensional relation for velocity, a constant. A complete Pythagorean cycle of unit versor positions results in the terminal pitch being a bit high in frequency.
Steinmetz rejected the hyperbolic versor, but then Pupin rejected Steinmetz’s circular operator, the usual sequence of rejection, ask Oliver. Beginning with the Earth at gamma, , GROUND, the Monochord progresses thru the four elementals, the Sun, Moon, and the known planets, and moreover thru the unknown planets, terminating on g, the planet Pluto.
The quagmire of correction factors and systems of distorted co-ordinates developed into a schizophrenic institution known as quantum mysticism. The next two octaves, 1 and 2, contains the range of C1 D1 E1 F1 G1 A1 B1, and C2 D2 E2 F2 G2 A2 B2. You can choose your preferred shipping method on the Order Information page during the checkout process. Besides, didn't I just say that the scale is made up of a sequence of seconds?Well, it turns out that not all seconds are equal and, in fact, the remarkable ability that the scale has to establish musical order depends on a built-in asymmetry, an asymmetry that is just as fundamental to the way music behaves as the octave itself - and just as mysterious. If you've never had any formal musical training, if you never took piano lessons, you probably have only a vague idea about what a piano keyboard looks like. Knowing that, you might naturally ask:What does this 12-key pattern have to do with the 8-tone scale we were just discussing?Why are the black and white keys grouped the way they are? In fact, the black keys don't have names of their own; they are named with reference to their adjacent white keys.
That doesn't mean two pitches couldn't be closer together; there as many possible pitches between these two as there are points on a line - that is, an infinite number. So that explains the missing black keys: without that gap, it would not be possible to play a major scale using white keys only.
In fact, one can make a convincing argument that music like this, music that abandons the rules implied by the major scale, isn't really music anymore.
The arch-form of the log-periodic series is the broadside log-periodic array developed in the previous writings on the Bolinas Antenna, it can be seen looking at this structure the appearance of expression for infinity.
This also is reduced to Cartesian expressions but is worthy of further study with the objective of developing polyphase versor operators.
This evokes the often stressed statement by Oliver Heaviside that “mathematics is an experimental science,” it certainly was in the time of antiquity. It is very important to consider that this threedom would not sound at all strange, not in the least, to Johannas Kepler.

Even beyond geocentricity, this is verily a pathological anthropocentricity, a lemming march into the Kurtzwiel grand singularity of universal annihilation. Another method, the one I use, is simply to label the steps of the scale with the numbers 1 though 8, starting with the lowest step.
I imagine you know there are small black keys and larger white ones, you might know that once the white keys, plastic nowadays, were made from ivory (as in "tickling the ivories"), and you might even know that there are 88 piano keys in all.
Or to put it another way, why are there missing black keys?What's the distinction between black and white keys anyway?To answer the first question, click on the link below. But intervals smaller than a minor second are generally not recognized in our culture's musical system.
The product of two terms equal to a constant is a hyperbolic function, zero pitch – infinite wavelength, and zero wavelength – infinite pitch. The system of symmetrical components originated in a paper before the American Institute of Electrical Engineers by Charles Fortecuse.
The quadrantal versor operator employed in the Steinmetz method is derived from a mathematical impossibility, the square root of a negative number. Entire chapters on the power of the number three were written prior to Kepler’s time. But you probably never had any occasion to consider why the keys of a piano are arranged the way they are. Doing so will open a new window containing a piano keyboard that you can play with mouse clicks. The impact of pieces like this was so strong that such music is still called "modern"  - often with a strong pejorative tone -  even though Webern's Bagatelles were composed in 1911! This relation is shown by the logarithmic curve that is characteristic of a rank of organ pipes. The “Roots of the Unit” give rise to versor operators derived from a meaningless mathematical statement, a base one log system. What is important to notice here is that not only did Uranus, Neptune, and Pluto evade notice in this era, but their very existence would have been decried a disruption in the “Universal Order” that had already become an institution. Moreover Nikola Tesla received his education in the classics at Graz, the very location in which Kepler taught geometry centuries before. To demonstrate: For the moment, let's call the distance between piano keys separated by a black key whole steps, and the distance between the keys without intervening black keys half steps. The title is, “Method of Symmetrical Coordinates Applied to the Solution of Polyphase Networks”.
It is hereby evident that the generalized symbolic versor operator, the principle objective in this series of writings, will not be born of accepted notions of mathematics. This operator is of a strange world, such as expressed by Lewis Carrol’s “Thru the Looking Glass”.
Tesla gained the ability in his mind to transform directly from the cosmic level to the Earth level from  , resulting in a physical manifestation, the working apparatus. His theory of relativity stated that all heavenly bodies now move relative to the Earth as the center, hence geocentric relativity. What about the labeling of the white keys with the letters A though G?For most of us (including me), the labeling of the keys with the letters A through G is just an arbitrary reference system.
This looking glass is Johannas Kepler (1571-1630) and on the back side is the world of mathematics that preceded him. His ability to carry out his objectives is derived from the hermetic traditions of Ancient Aegypt, not from pendantic technical training. As we're about to see, it's more complicated than that, but the basic naming convention for intervals really is that simple. Most people, even trained musicians, cannot hear a note struck on the piano and identify its letter.
Evans in the “Electrical Journal”, April, 1928, page 194, titled, “Symmetrical Components”. It is a return to the very origin of numbers, mathematics, and the inscrutability of the ideas of Nikola Tesla. It can be said that the inability of the modernist to understand Tesla is not because of technical complexity but because of Divine Simplicity.
It became a plethora of correction factors, adjustments, and the like, rendering the advance of astronomy impossible.
But most people do hear octave equivalence and, reflecting this, keys an octave apart all have the same letter. Moreover the modernist has a deep seated pathological contempt for any pre-Kepler concept of a harmonic universe particularly when expressed in a numerological form. This odious animosity for Tesla’s methodology is of such force that even the military and industrial organizations are denied the work of Nikola Tesla.
Bruno was burned at the stake for “practicing” heliocentricity and Galileo was exiled for finding that the planets indeed revolved around the Sun.
The heliocentric philosophy of Copernicus was banned in this era with the same fervor that the philosophy of Tesla is banned today by the existential modernists. Upon the unification by Kepler of the geometric, heliocentric, and related Pythagorean concepts there could be no more opposition to a heliocentric Solar System of a unit form existing in the generalized heavens.

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