Musical Sequences are Both Universal and Basic

Musical sequences

Musical Sequences are Both Universal and Basic. In music, a sequence is the restatement of a motif or longer melodic (or harmonic) passage at a higher or lower pitch in the same voice.[1] It is one of the most common and simple methods of elaborating a melody in eighteenth and nineteenth century classical music[1](Classical period and Romantic music).  Examples of characteristics of sequences:[1]  

Look at the music of the featured picture: The sequence is well known in America, Canada and England. In the U.S. the music is an excerpt from “My Country Tis’ of Thee.” In England it is “God Save the Queen (King)”. Bars 3 and 4 form a sequence with bars 1 and 2. They use the same pattern, only one tone lower. Just as a refresher, here is the British and American music on youtube. The British words are “Send him victories, Happy and glorious.” In America the corresponding words are “Land where my fathers died, Land of the pilgram’s pride.”

Examples of how Musical Sequences are Universal and Basic

God save the King – The national anthem of the British … – YouTube

My Country, ‘Tis of Thee (with lyrics) – YouTube

Musical Sequences Applies to the Sciences

Let’s look at basic scientific sequences. They work on the same principle as music. In Platonic style, here’s two basic groupings of numbers: 3-4-5 and 6-7-8. We have a true pattern for musical sequence operating in math and the sciences.

  • 3-4-5 has geometrical import.  One is the single line that begins the process. The classic example is the 3-4-5 Pythagorean  right triangle. The formula is 3² + 4² = 5². Of course, with the 5 Platonic solids,  three use triangles (3 sides).These include the tetrahedron, octahedron and icosahedron.  The cube uses squares (4 sides). The dodecahedron uses pentagons (5 sides). Pictures are below.
Image result for picture of the 5 platonic solids on DSOworks
Platonic solids have regular polygons of either 3 4 or 5 sides.
  • 6-7-8 has implications for organic chemistry. Hydrogen begins the count. It is like the single line that begins form in geometry.  Hydrogen’s atomic number is one. Six is carbon’s. Seven is nitrogen’s. Eight is oxygen’s.
Ethanol-structure.svg
An example of an organic compound. Carbon + 6. Hydrogen = 1. Oxygen = 8.

Ethanol-CRC-MW-trans-3D-balls.png  Ethanol-2D-skeletal.svg

 

 

Conclusions: This blog puts forth mathematical Platonism.   Here mathematical entities are abstract They have no spatial, temporal or causal properties.  They are eternal and unchanging.  Numbers represent eternal truths. They are behind everything. Musical sequences, by sound,  express their beaty through sound.

 

 

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