Tones Plus Overtones Prove Former Advanced Civilization. This civilization knew the ways peace. It was a time when “yin” ruled. This is according to Chinese tradition. Also according to Chinese tradition is Feng shui. Both peace and Feng shui are based on the 3 x 3 number square. So are two key points of this blog, (1) the primary overtones ratios. (2) Their vibrations per second in antiquity.
An overtone is any frequency greater than the fundamental frequency of a sound. Here is the illustration: Play a low “C” on the piano. It is tone “1” in the illustration. Call this low “C” the fundamental. When played, this tone sets off a series of tones. The strongest are the first five above the fundamental. They also make for the most pleasing ratios in sound. For example 1:2 is the octave. 2 :3 is the fifth. 3:4 is the fourth.
Above is the harmonic series in musical notation. We see the names of the intervals above the fundamental. . The relative amplitudes (strengths) of the various harmonics primarily determine the timbre of different instruments and sounds. For example, the clarinet and saxophone have similar mouthpieces and reeds. Both produce sound through resonance of air inside a chamber. Each mouthpiece end is considered closed. The clarinet’s resonator is cylindrical. This means even-numbered harmonics are less present. The saxophone’s resonator is conical. That allows the even-numbered harmonics to sound more strongly.
TONES PLUS OVERTONES PROVE AN ADVANCED, ANCIENT CIVILIZATION
Here’s how tones plus overtones work together. Our Neolithic ancestors of this: All “magic square” have characteristic numbers. But this one also has secret number codes. Here are its characteristic numbers:
Any two opposite numbers = 10. Examples 4 + 6 or 3 + 7.
The single central number is 5.
Any straight row of 3 numbers totals 15.
The perimeter of 8 numbers totals 40.
The perimeter + the center = 45.
Next, here’s how the characteristic numbers relate to fundamental overtones. These are constructed with numbers one thru four. This are expressed by ratios of two consecutive numbers.
1 to 2 is a perfect octave. On the above number square, the ratio of the central 5 to opposite combination on the perimeter of 10 is is 1:2.
3 to 2 is a perfect fifth. On the above square, the ratio of any row of 3 (15) to any 2 opposite numbers (10) is 3:2.
4 to 3 is a perfect fourth. The ratio of the 4 even corner numbers (20) to any row of three (15) is the 4:3 ratio.
Harmonic overtones of fundamental perfect harmonics are defined by these characteristic numbers. They are the octave, fifth and fourth. There are no other Perfect Intervals.
So Where are the Actual Tones in Terms of V/S on the Number Square?
Go around the perimeter in either direction. Add two numbers at the time as follows.
660 to 440 define the 3/2 ratio. These define a section of tones plus overtones.
Other tones of the ancient scale are to found in this number square. So, the number square holds musical tones. It has overtones. The number block has interval ratios and their tones. The square of three allows us passage to a lost Golden Age.