From the void came harmony. Harmony is a tonal system where one tone predominates and through that fundamental tone all the frequencies and wavelengths of the overtones vary.
When talking waves in music, say on a guitar string, we find a half a wavelength to be the fundamental tone. As the string is stretched into a single rising arc and released, this first arc, 1/2 wavelength, is the fundamental tone.
To present the following field of numbers, which I claim is the math for the unified field theory, it`s easier to talk in terms of 1/1 being one rising arc on a string, since that is the fundamental tone. The first overtone is one wavelength, though we will call it here 2 waves. The second overtone is 3 waves, or 1.5 wavelengths.
I choose to call the fundamental tone wave 1 instead of 1/2 because by using this language the inverse of one wave would be the frequency ratio, as follows in the field of numbers.
The top horizontal numbers are equivalents of 1.
The left vertical line is the overtone sequence.
The inverse of these ratios refer to frequcies.
This table refers to:
..............Stringlengths...................
_______________________________________________
1/1 2/2 4/4 8/8...Doe...16/16...
...................8/9...Rae...
.............4/5 8/10..Mee...
...................8/11..Fu...
.......2/3...4/6...8/12..Sol...
...................8/13..Mu...
.............4/7...8/14..Ah...
...................8/15..Tee...
1/2....2/4...4/8...8/16..Doe...16/32...
...................8/17...
1/4....Doe
1/8....Doe
1/16...Doe
1/32...Doe
...
________________________________________
The field of numbers stretches to infinity.
Notice Sol at 2/3 stringlength reveals 3/2 times the original frequency.
Notice that any speed c equals frequency times wavelength, so we find our field of numbers immediately in E = Mc squared.
To tune a marimba use a frequency counter and a tone generator and an amplification system and tune by ear, shortening the board to sharpen the key, thinning the board to lower the tone.
To tune a guitar to harmonics, take the overall stringlength times the ratios 16/16, 16,17, 16/18...16/32 and you`ll place sixteen frets per octave, rather than chromatics`s twelve.
To cure cancer (refering to an entry earlier) tune light and sound instruments to ratios for Doe Mee Ah Sol and dissolve the nonharmonic tissue while healing the healthy harmonic based tissue.
Later...
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