goldenSynth

The theory underlying the waves based on the golden number

The golden number comes from the divine proportion that divides The whole into parts by an ideal ratio, so that every part will reflect the whole.

Mathematically the entire reported by a part must be equal to the ratio of the two divisions.

1/a = a/b

1/a = a/ (1-a)

1=a*a+a.

a=0,618033988....
ϕ (phi)=1/a=1,618033988....

Divine ratio is a perfect ratio which creates everything

Thus we have obtained an ideal primary division. To keep this perfection we must continue in the same way, the obtained divisions we divide them by the golden ratio. This way you can get a perfect growth and division that maintains the holistic principle: the part in everything and everything in the part.

Mathematically we can write:

It is a growing and an indefinitely dividing formula that can grow infinite keeping the original harmony.

Golden waveforms

A wave cycle can be divided exactly the same, in perfect divisions by the golden ratio as follows:

Golden Sinusoid:

Golden Sine Half:

Golden Triangle Wave:

Golden Square Wave:

In this way we obtained pure, ideal waveforms, with a specific timbre, excellent for binaural beats. You can make a lot of music applications or pure sounds in the therapeutic, psychological or spiritual domain and in electronic music.

Copyright

This waveforms were discovered by EmRys, all rights regarding such wave shapes and concepts by: golden waveforms, golden sinusoid, golden triangle wave and golden square wave are exclusively reserved by EmRys.

If you wish to use these waveforms for publication or post material that contains notions mentioned above it is absolutely necessary to specify the author's name and if the Internet is a medium for publication must add the website address http://www.emrys.ro/en or http://vst.saschart.com