"The Tone"

Here is the central frequency of my system and research, 528Hz, the 6th pitch in the ancient solfeggio scale, the "miracle" frequency. There is substantial evidence that:

1. The frequency has the ability to repair DNA, contemporary genetic biochemists use this frequency to repair broken DNA

2. This is the frequency that chlorophyll, the very important biomolecule in plants and algae, is resonates at.

3. It is a central resonating frequency in our Sun.

Here it is played using a combination between a scanned synthesis csound instrument I developed using the golden ratio as parameters for damping, initial mass, initial velocity and more, as well as a toroidal matrix to connect amplitude impulses, in addition to the additive synth I developed, again in csound, using powers of phi, the golden ratio, to define harmonics.




And is an image of what the csound file for the scanned instrument looks like:

Using tuning system w/ 'golden' additive synth & scanned synthesis focus in a Piece

Here is my latest work using the tuning system, focusing on the 'golden' additive synth I built as well as several scanned synthesis instruments, entitled "Tahabdra".

The "Golden" Additive Synth

Below is the "Golden" Additive Synth (shown using Sublime Text as text editor & Takahiko Tshuchiya's csound syntax highlighter). The additive synth uses six oscillators to generate harmonic content based off the tuning system itself in the sense of using powers of phi to generate harmonics. In addition, the synth uses fibonacci numbers for ratios and lfo parameters as well as a phase offset of the inverse of Phi, 0.61803398875, divided by 6 = 0.10300567; all to make a more dynamic spectrum. Many thanks to Paul Batchelor for his help with this.

And here is the synth playing the 13 tones of my tuning system.

Description of Complete Scale Thus Far...

So, at this point, I have a pretty good idea of what 'the scale' is....

13 tones - with a center, root frequency of 528Hz, with 5 tones below, each 833.09 cents between each other, and 7 tones above, with 833.09 cents between each - making the system as follows (from low to high, in Hz):

47.610, 77.034, 124.644, 201.678, 326.322, 528, 854.322, 1382.322, 2236.644, 3618.966, 5855.610, 9474.576, 15330.185

Here is an audio example of the scale:

Some Inspiration and Interesting Items....

1. Video about ancient scales, solfeggio tones, golden ratio scales, 12-tET dissonance, The Great Pyramid (though dismisses 528Hz...):





2. Very nice article & video about heliospheric sonification - making music from data of the sun. Possible field to move into for master's degree.... -> What Does The Sun Sound Like?

Composers/Scales/Tunings To Look Into More?

1. Cameron Bobro & his multiple phi-related scales

2. Aaron Hunt  & his non-octave phi-based scale

Honorable mention/possibly look more into: Jacky Ligon and his phi-based scales

Some experiments using 528Hz & golden ratio intervals

Here we have 528Hz, and its lower golden ratio intervallic partner 326Hz - these two tones are 833.09 cents apart - the golden ratio in musical terms. Pure sine waves computed&generated in Csound and then recorded into Ableton Live 9 suite:



Next, we have 528Hz, and its upper golden ratio intervallic partner 854Hz - these two tones are 833.09 cents apart - again, the golden ratio in musical terms. Pure sine waves computed&generated in Csound and then recorded into Ableton Live 9 suite:



Now, let's take a look at a triad w/ both intervals as golden ratios (833.09 cents), above and below 528Hz, making the 3 notes being sounded - 326Hz+528Hz+854Hz:



Lastly, we have a triad w/ 528Hz as the root and the two other notes having golden ratios (833.09 cents) between them. Resulting in the tones 528Hz+854Hz+1382Hz: