Sympathetic Vibratory Physics | reciprocal (original) (raw)

Figure 12.03 - Scale Showing Relations of Light, Color and Tones (color added)

Figure 12.13 - Some Multi-Dimensional as Inverse and Direct Reciprocal Relationships

See

noun: something (a term or expression or concept) that has a reciprocal relation to something else
noun: () one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7
adjective: concerning each of two or more persons or things; especially given or done in return ("Reciprocal aid")
adjective: of or relating to the multiplicative inverse of a quantity or function ("The reciprocal ratio of a:b is b:a")
adjective: of or relating to or suggestive of complementation

[Multiplicative inverse means the same thing as reciprocal.]

Reciprocals in Algebra

and are inversely disposed opposites, which or one another depending on whether one is made to by the other or

[4] See description of air-turbine in Austrian Patent No. 145141, p. 115 of this book. —Ed.

is itself intrinsically through this reciprocal and . Today's technology mistakenly chose the former of the two processes and it is therefore no wonder that is on the rampage here, there and everywhere.

Goethe said, "The driving wheels of are and and whoever understands enough to untie also knows enough to bind." What is born in light, disintegrates in the of the . It rises up and returns again as a of energy in order to that which stands ready to become new life at the boundary between space and .

Every leaf is an animalistic magnet in monoplanar form, which attracts and radiates, depending on whether the shines on it or cold caresses it. This great law of reciprocity also operates in , which constantly restructures itself by altering its space and . The space is shaped by light and heat. The is a product of and . If we understand how to apportion the opposing relation between space and and how to organise its intrinsic structure, then the substance - - will become 'The Space' and the formless its realisation, which is transformed instantaneously with , thereby creating the that fills the over-lying .

If nature-alienated humanity, however, reverses this purposeful process and combusts precisely those substances that occasion life, then they should no longer be surprised when the burns up that which serves it as an intermediate space, and which serves humankind for the maintenance of life.

unfolds itself in three spheres:
1. in the Carbone[5] - sphere
2. in the Atmosphere
3. in the

The between these spheres is created by . Conversely, the various states of aggregation of form the bridges for the formation and of the basic elements carried by , which succeed in reaching the Earth's interior from the stratosphere and vice versa. The purely mechanical of the physical form - - operates in the opposite direction to the of energy. The of the C-substances with their carrier - - is countered by the sinking of the oxygen. Where these

[5] : In contrast to the normal use and definition of 'carbon', Viktor grouped all the known elements and their compounds, with the exception of oxygen and hydrogen, under the general classification of 'Mother Substances', which he described with the word '', normally spelt 'Kohlenstoffe' and meaning carbon. Apart from the above definition the hyphen also signifies a higher aspect of carbon, both physically and energetically or immaterially. The additional V in the English word is therefore intended to redefine and enlarge the scope of the usual term 'carbon' in accordance with Viktor's concepts. On occasion carbone will be represented by the term C' [to] differentiate it from the normal term for carbon — C - Ed.

mutually currents intersect, energy is freed. These energetic interactions can never reach a of due to the constant variation in the length of night and day. Inevitably therefore, there is a continual shift in the individual microclimatic conditions, which further result in variations in the and of the basic elements. [The Energy Evolution - Harnessing Free Energy from Nature, ]

Ramsay
Well, how are we to get the true minor scale? There is a remarkable fact, and a beautiful one, which suggests the method. Such is the economy of , that from one system of proportion employed in two different ways, in the one case as periods of vibrations and in the other as of strings, everything in 's foundation is produced. It is a remarkable fact that the numbers for the lengths of the strings producing the major scale are the numbers of the vibrations producing the minor scale; and the numbers for the lengths of the strings for the minor scale are the numbers of the vibrations of the notes of the major scale. Here Nature reveals to us an inverse process for the discovery of the minor scale of notes. [Scientific Basis and Build of Music, page 31]

In order to find the notes for the next major key above C, we have to multiply the of D, which is the top of the dominant C, by 3 and 5. It is out of the key of C at this point that the new key sprouts and grows, and by the primes and method which produce the key of C itself. So if we would find the relative minor of C, let us take the note which is a minor third below D - that is, B - to produce the . The sprouts and grows from this point of the key of C; for the relative minor grows out of the , as out of the man at first the woman is taken. Moreover, B is the last-born of the notes for the major scale; for the middles, that is, the thirds of chords, are always produced by the prime 5; and the tops, that is, the fifths of chords, are produced by the prime 3, and are born before the , though placed after them in the chords. Well, because B is the last-born note of the , as well as a minor third below the top of the highest chord of the , it seems that the should have this for its point of departure. Again, we have seen that the and the are found in their strings and their vibrations by an inverse process, that one going back upon the other; and, there taking Nature's clue, let us proceed by an inverse process of generating the . Making B45 our , as F1 was our for the , let us divide by 3 and 5 for a and to B, as we multiplied by 3 and 5 for a top and to F. B45 divided by 3 is 15; here then is our E, the root of the chord, just where we had found it coming upward; for, remember, we found E15 by multiplying C3 by 5. This E, then, is the same in and . Now B45 divided by 5 is 9; [Scientific Basis and Build of Music, page 31]

It is in their inverse relations that the and the are equal. Every note, chord, and in the one has its reciprocal or corresponding note, chord, and in the other. This is the Law of Duality. And this general law of Nature is so deeply rooted in music, that is the numbers which represent the vibrations in the major system be made to represent of string, these quantities will produce the minor system (beginning, of course, with the proper notes and numbers); so that when the are the tones are , and when the are the tones are .1[Scientific Basis and Build of Music, page 44]

All the and reciprocal orders in music, whether of notes or chords, are produced by the law of Duality, and this gives them inevitably their symmetrical form. [Scientific Basis and Build of Music, page 79]

This plate sets forth the essential duality of the musical system of vibrations. It is a remarkable fact that the numbers of the vibrations of the major mode are the numbers for the string proportions of the minor mode; and vice versa, the string proportions in the are the numbers of the vibrations in the . We have, however, to see that we use the proper notes and numbers; we must know the of . This rests in the duality of the notes, and begins from the two D's. The center of gravity of the musical system of vibrations is found in the comma space between the |two D's as they are found in the of the two modes. In these |two D's the vibration number and string proportions are nearly identical. Starting from this point as the center of gravity in the [Scientific Basis and Build of Music, page 118]