True Phi Frequency ( Pure Tone ) | Quantum Frequencies.
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The golden ratio, also known as φ (phi) or approximately 1.618, is a number with some trippy properties. It’s no wonder that many people treat the golden ratio with a great deal of mysticism, because (here’s the cliche part) it appears repeatedly in nature and also crops up in many fields of mathematics. And we all know that mathematics is the language of the universe.
Which golden ratio is the real golden ratio?
Here is something that causes confusion time and time again. There are two musical intervals which both claim to be the golden ratio! How is this possible?
Consider the octave in terms of cents. Cents are a musical measurement of a pitch that divides the octave into 1200 logarithmically equal parts. This means that 200 cents are equivalent to an equal-tempered whole tone, 100 cents is equivalent to a semitone, 50 cents is equivalent to a quartertone, etc. So our first version of phi will simply divide 1200 by phi:
1200 / φ = 741.6407865 cents
~741 cents sounds like a horribly sharp fifth. We already know that the golden ratio sounds dissonant, so this could be the golden ratio we’re looking for. But first, let’s look at the other contender:
1200 * log2(φ) = 833.090296357
While both of these intervals could be used to generate scales that you could play interesting music with, only one of them gives me that one-with-the-universe vibe. To find out why we need to look at a psychoacoustic effect known as combination tones.
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