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 Music and mathematics A musical scale is a discrete set of pitches used in making or describing music. Typically a scale has an interval of repetition, which is normally the octave. Because we are often interested in the relations or ratios between the pitches (known as intervals) rather than the precise pitches themselves in describing a scale, it is usual to refer all the scale pitches in terms of their ratio from a particular pitch, which is given the value of one (often written 1/1 when discussing just intonation.)  The most important scale in the Western tradition is the diatonic scale, but the scales used and proposed in various historical eras and parts of the world have been many and varied. Scales may broadly be classed as scales of just intonation, tempered scales, and practice-based scales. Music Theory analyzes the elements of music – rhythm, harmony (harmonic function), melody, structure, Form, and texture. The elements of a melody are composed of pitch, duration, and timbre created with respect to scales or modes. Rhythm is the arrangement of sounds in time. Meter animates time in regular pulse groupings, called measures or bars. The time signature or meter signature specifies how many beats are in a measure. Syncopated rhythms are rhythms that accent unexpected parts of the beat. Playing simultaneous rhythms in more than one time signature is called polymeter. See also polyrhythm. Harmony is the study of vertical sonorities in music. The vertical relationship between pitches is referred to as an interval between the two pitches. These intervals are often combined into larger structures called chords. Musical texture is the overall sound of a piece of music commonly described according to the number of and relationship between parts or lines of music: monophony, heterophony, polyphony, homophony, or monody. Mozart_effect suggests that classical music increases brain activity more positively than other kinds of music some composers have incorporated the Golden ratio and Fibonacci numbers into their work. Fibonacci_number The golden ratio $\varphi$ (phi), also written τ (tau), is defined as the ratio that results when a line is divided so that the whole line has the same ratio to the larger segment as the larger segment has to the smaller segment. chromatic scale perfect fifths, Pythagorean comma. 12 perfect fifths 53 equal temperament or Holdrian comma. Pythagorean tuning Schumann resonance (SR)
432 & Lightspeed
Slowing the speed of light @ washington
Post.com
Frequency to Musical Note Converter Tuning from 440 to 432 Hz is 32 cents flat.
Universal Dance:432 @ akasha.de
Schumann Resonance, Human Chakra, Music and Healing
music revolution @ schiller
institute.org

The three fundamental elements of music are rhythm, melody, and harmony.

The sun, planets and moon stand in the same frequency ratio as the notes on our most harmonic scale. Harmonics beautify music and nature for the beholder.

 Music Harmony & Rhythm

Rhythm is likely the most fundamental aspect of music, because percussion instruments were likely in use long before stringed instruments. Tribal groups dancing to music made only with percussion instruments is an ancient human practice, which reportedly continues today. Rhythm recalls the heartbeat which we first heard in the womb and beats naturally at 72 bpm.

Entrainment is about the tendencies of the universe to share rhythm, to vibrate in harmony. This principle, found in many sciences, of the tendency for two oscillating bodies to lock into phase so that they vibrate in harmony is particularly poignant in music. Through entrainment music has the potential to (1) resonate with the listener’s feelings, (2) transform negativity into positivity, and (3) promote a state of liveliness or serenity. Certain sounds, in specific sequence can help bring the listener from one place to another.

Melody is about the changes and patterns found in the foreground of music

For the music to sound consonant (in tune) the different notes being sounded simultaneously need to be related in a way which is pleasing to the ear. Tuning based on a series of twelve notes in perfect fifths has played an important part in world musical traditions. The difference in frequency between two pitches is an octave, a note and another note with twice its frequency form an octave. Octaves are perceived as a consonance in every musical culture.

 Music & 432 432 times 432 = 186624                 the classic speed of light is 186400 miles/second, a difference of .001201.  E=mc2                                             ---Einstein's famous equation of energy and matter - - where E= energy, m = matter, and c = the universal constant speed of light. The speed of light in 1983 was generally accepted to be 186,291 miles per second in a vacuum so 432 as the square root of the speed of light should only experience the usual suspects as skeptics. This number converted by the pyramid inch is 186,496.  ( 186,291 [accepted speed of light in a vacuum per 1983 agreement] x 1.0011) The distance from the center of the earth to the average height of the atmosphere. This value is given as 4320 arc-minutes, which harmonically can be reduce down to 432  the fundamental vibration for the sixth node in the octave A line showing the speed of light on a scale model of Earth and the Moon, about 1.2 seconds.  The archaic Egyptian instruments that have been unearthed, so far, are largely tuned to 432 hz. In ancient Greece (the school book original place for music) their instruments were predominantly tuned at 432 hz. Within the archaic Greek Eleusenian Mysteries, Orpheus is the god of music, death and rebirth, and was the keeper of the Ambrosia and the music of transformation (his instruments were tuned at 432 hz).
 Pythagorean tuning Pythagorean tuning is a system of musical tuning in which the frequency relationships of all intervals are based on the ratio 3:2. Its use has been documented as long ago as 3500 B.C. in Babylonian texts[1]. It is the oldest way of tuning the 12-note chromatic scale and, as such, it is the basis for many other methods of tuning Pythagorean tuning is tuning based only on the perfect consonances, the (perfect) octave, perfect fifth, and perfect fourth. Thus the major third is considered not a third but a ditone, literally "two tones", and is 81:64 = (9:8)², rather than the independent and harmonic just 5:4, directly below. A whole tone is a secondary interval, being derived from two perfect fifths, (3:2)²/2 = 9:8. In equal temperament, and most other modern tunings of the chromatic scale, pairs of enharmonic notes such as E flat and D sharp are thought of as being the same note — however, as the above table indicates, in Pythagorean tuning, they theoretically have different ratios, and are at a different frequency. This discrepancy, of about 23.5 cents, or one quarter of a semitone, is known as a Pythagorean comma.
 In Western music, 12 perfect fifths and seven octaves are treated as the same interval In music, when ascending from an initial (low) pitch by a cycle of justly tuned perfect fifths (ratio 3:2), leapfrogging twelve times, one eventually reaches a pitch approximately seven whole octaves above the starting pitch. If this pitch is then lowered precisely seven octaves, it will be discovered that the resulting pitch is 23.46 cents (a very small amount) higher than the initial pitch. This microtonal interval $\left(\frac32\right)^{12} \!\!\bigg/\, 2^{7} = \frac{3^{12}}{2^{19}} = \frac{531441}{524288} = 1.0136432647705078125 \!$ is called a Pythagorean comma, and sometimes called a ditonic comma. Put more succinctly, twelve perfect fifths are not exactly equal to seven perfect octaves, and the Pythagorean comma is the amount of the discrepancy.
The Schiller Institute in Milan Italy on April 9, 1988 launched a campaign to lower the international standard musical pitch to middle-C=256 cycles per second (A=432 cycles per second), in order to preserve the human voice and to return the performance of Classical music to that of the classical composers' poetic intentions.

Bach's 440 hz only touches 8, leaving out an entire section of the complete musical resonance of the universe, which thus remains untouched and unintegrated within the 440 hz music of today

By detuning the note 'a' to 432 (harmonic of 54, 108 & 25920 / 60) then the frequency of 'D' becomes 144 hz (144000 cycles per second) Using 432hz as frequency  allows for all the wavelengths to harmonize easily with each other.

"An original new connection of geometry, astronomy and sacred sites to music theory. The international standard of tuning is 440 Hz = the note "A". set in stone by J.S. Bach when the correction to 432 is made, the others notes of the entire octave display a multitude of Gematrian ancient sacred numbers that are astoundingly relative to astronomy, sacred geometry, The Bible and other mysterious literary works such as the Bhagavad-gita and exact longitude and latitudes and hundreds of pyramids and other sacred sites.

Reasons to change the standard of tuning from 440 to 432

1. Harmonically aligns to astronomical time count of Precession of the equinoxes, 432 X 60 = 25920
2. The original Stradivarius violin was designed to be tuned to 432, it is the most precise instrument ever constructed by humans.
3. 432 is found at countless ancient sacred sites
4. over 2,000 signatures on a petition to the Italian government to change the standard to 432 due to the registers ripping many opera singers voices in 440
5. The most important of all is when the correction to 432 is made, the others notes of the entire octave display a multitude of Gematrian ancient sacred numbers that are astoundingly relative to astronomy, sacred geometry, The Bible and other mysterious literary works such as the Bhagavad-gita and exact longitude and latitudes and hundreds of pyramids and other sacred sites.

The Scale Of Time by James Paul Furia
James Furia is much quoted on the internet for his case to make the centering note  “A” at 432 cps, rather than the standard pitch 440. He traces the reasons for the harmonic lapse in judgement to  defining the basic notes as only 7 instead of 12.

 Harmonics & the speed of light has been writing books on anti-gravity and light harmonics for more than 30 years.He believes that the universe is based on harmonic series such as 72, 144, 432. And 144 (a "C" tone in hertz) is a perfect harmonic of the speed of light, which is 144,000 nautical miles (144,000 minutes of arc per Earth grid second) in the vacuum of space. Each of these harmonics are literally a mirror, or a cascade of mirrors within mirrors, that 8 hz can look into. For example 144 is 18 x 8 hz, and 72 is 9 x 8 hz. The way that light travels in space is thus a 144 decimal harmonic (144:144,000), "Cathic found that the fundamental harmonic of light in geometric terms has an angular velocity of 144,000 minutes of arc per grid second. The reciprocal harmonic of light or 1/144,000  repeating .69444. This harmonic refers to the negative reciprocal light, which in theory forms the basic building block of the  antiuniverse of light or negative reality." Surfing The Tao: A Revolution ... Authorhouse - 2004
 the Schumann resonance The Schumann resonance (SR) is a set of spectrum peaks in the extremely low frequency (ELF) portion of the Earth's electromagnetic field spectrum. Schumann resonances are global electromagnetic resonances, excited by lightning discharges in the cavity formed by the Earth surface and the ionosphere. Lightning discharges are considered as the primary natural source of Schumann resonances. Lightning channels behave like a huge antenna which radiates electromagnetic energy as impulsive signals at frequencies below about 100 kHz [15]. These signals are very weak, but the earth-ionosphere waveguide behaves like a resonator at ELF frequencies and amplifies the spectral signals from lightning at the resonance frequencies [15].In an ideal cavity, the resonant frequency of the n-th mode fn is determined by the Earth radius a and the speed of light c [6]. $f_{n} =\frac{c}{2 \pi a}\sqrt{n(n+1)}$ In physics, resonance is the tendency of a system to oscillate at maximum amplitude at a certain frequency. This frequency is known as the system's resonance frequency (or resonant frequency). When damping is small, the resonance frequency is approximately equal to the natural frequency of the system, which is the frequency of free vibrations. Acoustic resonance is the tendency of an acoustic system to absorb more energy when the frequency of its oscillations matches the system's natural frequency of vibration (its resonance frequency) than it does at other frequencies. A resonant object will probably have more than one resonance frequency, especially at harmonics of the strongest resonance. It will easily vibrate at those frequencies, and vibrate less strongly at other frequencies. It will "pick out" its resonance frequency from a complex excitation, such as an impulse or a wideband noise excitation. In effect, it is filtering out all frequencies other than its resonance. Acoustic resonance is an important consideration for instrument builders, as most acoustic instruments use resonators, such as the strings and body of a violin, the length of tube in a flute, and the shape of a drum membrane. The Base Chakra corresponding to the note C is the 33rd octave of the first Schumann Resonance.  Middle C on the musical scale has a frequency of 261.63 Hz.  If we divide this frequency by 7.83 Hz. (Schumann Resonance) the result is 33, the 33rd. octave.

 Rhythms on Song Trellis It's characteristic that ensemble rhythms from African traditions play patterns against one another that pulse at different speeds. Many of these have 4 or 5 parts that interlock in fascinating ways. One part will present an idea that a different part will answer.As you listen, play them loudly enough so that you can hear the parts clearly. Each part leaves space or plays in a different range to allow its companions to be heard. songtrellis.com/rhythmpage Music and Musical Know-how For You a framework that supports the growth of songs and new music, a trellis for song.
 Poetry "Much in the poetic works structure brings closer together this kind of art with music. A distinct rhythm, regular alternation of stressed and unstressed syllables, ordered dimensionality of poems, their emotional saturation make poetry by the native sister of the musical pieces. Each verse has its musical form, its rhythm and melody. It is possible to expect, that in the poem constitution some features of the musical pieces, a regularity of musical harmony, and consequently, the golden proportion will be revealed themselves."

 "A human being is part of the whole called by us universe, a part limited in time and space. We experience ourselves, our thoughts and feelings as something separate from the rest. A kind of optical delusion of consciousness. This delusion is a kind of prison for us, restricting us to our personal desires and to affection for a few persons nearest to us. Our task must be to free ourselves from the prison by widening our circle of compassion to embrace all living creatures and the whole of nature in its beauty. The true value of a human being is determined by the measure and the sense in which they have obtained liberation from the self. We shall require a substantially new manner of thinking if humanity is to survive." ---Albert Einstein, 1954 Music is a universal language tying  human emotions to the  declarations of truth for the soul's benefit. At its best as a rigorous production of beauty, the listener is moved by the inner workings of the listener's own creative mind. With few exceptions, humans love to listen to music. Nearly everyone has musical aspirations. If you can't sing, you probably wish that you could. There exists an intimate connection between the planets, vibrations and musical beats, sounds and colors which reach as far as microcosmic vibratory qualities of a single cell. When musical instruments are again tuned at 432 cycles per second harmonics are produced. This will be healthy for the body as well as the planet. 432 on YouTube Watch the latest videos on YouTube.com
 Harmony is the goal of the Universe A certain constant harmonic electron wave of sound is Mozart Effect and is known to raise IQs. 8 hz is in the Fibonacci number series that nature utilizes to duplicate itself (1, 1:1, 2, 2:1, 3, 3:1, 5, 5:3, 8) into petals, or seeds. 16 such steps renders our 144 beats per minute, whereby PHI and Fibonacci cross into symbiosis. Since 144 is 89 x PHI (1.618), the Golden Mean proportion of mirror-into-mirror, pentagon into the next pentagon within the first pentagon's pentagram etc. 23.5 cents, or one quarter of a semitone, is known as a Pythagorean comma. The angle of the earth at 23 also golden mean PHI triangles. Triangles whose sides slant at 72°, and whose base is 36° (half of 72) One zodiacal great year = 30 x 72 years =2160 Our planet beats at 8 cycles per second (8 hz, fundamental Schumann resonance), Multiplications of 8 cycles gives one the significant 432 (54 x 8, and 3 x 72). The universe is based on harmonic series such as 72, 144, 432. And 144 (a "C" tone in hertz) is a perfect harmonic of the speed of light, which is 144,000 nautical miles (144,000 minutes of arc per Earth grid second) in the vacuum of space. Each of these harmonics are literally a mirror, or a cascade of mirrors within mirrors, that 8 hz can look into. For example 144 is 18 x 8 hz, and 72 is 9 x 8 hz. Mankind, in a non-shamanic state, does not hear 8 cycles. But one can make audible its harmonics, such as 72 hz (9 x 8 hz), 144 hz (18 x 8 hz) and 432 hz. "If you listen to Hendrix recordings, a lot of them are tuned a shade flat - not Eb, but just a little South of E (live ones as well as studio ones). On his studio recordings he would spend hours tuning up, supposedly to get the right 'vibe' from his amplifier - microtuning to get the best combination of overtones, harmonics. Of course just because the record is mastered to be a few degrees below A440 doesn't mean that was the original recording pitch, but the idea that Jimi was tuning into the natural frequency of the universe is kind of appealing to me ---floopy on the forum @talkbass.com Our planet beats at 8 cycles per second (8 hz, fundamental Schumann resonance), light travels about a foot (just under a third of a meter) in a nanosecond [a billionth of a second ] fast enough to circle the Earth seven times in one second.

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