On Exploring a Musical Design

Introduced in 1202 by Italian mathematician Leonardo of Pisa (also known as Fibonacci), the Fibonacci Sequence is a series of numbers formed when the next number is determined by adding the previous two numbers. By definition, the series begins with 0, 1.
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …
The Fibonacci Sequence is also related to the Golden Ratio – the divine proportion – the golden mean – the ratio that is most pleasing to humans – the ratio applied in architecture, drawing, painting, designs, and more – the ratio commonly found in nature. For your weekend Explore, here’s an original musical composition inspired by the Fibonacci Sequence. Enjoy, and for those needing more about Fibonacci and the Golden Ratio, see the links below the video.
Two related past posts

On Phi

The most beautiful thing we can experience is the mysterious. It is the source of all true art and science. (Albert Einstein)

Nature hides her secrets because of her essential loftiness, but not by means of ruse. (Albert Einstein)

All life is biology – All biology is physiology – All physiology is chemistry – All chemistry is physics – All physics is math. (Dr. Stephen Marquardt)

Measure what is measurable, and make measurable what is not so. (Galileo Galilei)

Geometry has two great treasures: one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold; the second we may name a precious jewel. (Johannes Kepler)

This post is about Phi (Φ) – 21st letter of the Greek alphabet

Phi – but not fi fo and fum

Phi, in traditional Greek numerals a value of 500 (φʹ) or 500 000 (φ)

Phi – the ratio of each successive pair of numbers in the Fibonacci Sequence

Phi – the symbol for the golden ratio and on other occasions in math and science

Phi – applicable in mathematics, art, architecture, biology, astronomy, music, physics, navigation, geology, engineering, economics, philosophy, and more

Phi – squared is a number exactly 1 greater than itself: 2.618

Phi – the ratio in the length of a DNA molecule

Phi – the ratio of the diameter of Saturn to the diameter of its rings

Phi – the sound of this song if the numbers were assigned to piano keys. Enjoy.

Additional Information about Phi at this site dedicated to phi

On Selection

Embed from Getty Images

What initially attracts a person to another? To some, it’s the eyes. To others, it’s the face, physique, height, or butt. Then again, it could be breasts, hair, skin tone, or a combination of any of the listed. We could get into the finer details involving hands, personality, or cheekbones, yet the question remains – What initially attracts a person to another?

From a biology perspective, I see human commonality with the rest of the living world. After all, organisms select mates based on color, strength, the ability to sing or dance, and rituals. in the end, it’s about the best genes getting together to increase the odds of the species’ best genes being passed on to the next generation. Keep in mind that the biological purpose of any organism is to grow and survive so the species can perpetuate.

Yes, that’s natural selection – as opposed to artificial selection when humans decide which domestic organisms breed. In terms of passing along the best genes, artificial selection is similar to natural selection, but it occurs outside of the rules of nature. Breeding dogs and other domestic animals is big money because pedigree is important. Breeding race horses is even bigger money, but in the end, it’s artificial selection.

In general, celebrities fascinate the masses – and how often to we see attractive celebrities with another attractive person. The parents pass these attractive genes to their offspring, but that’s natural selection, not artificial selection.

But the initial question remains – What initially attracts a person to another?

A ratio is a relationship between two numbers. Mathematics provides the Golden Ratio, which some artists, designers, architects, and others apply this because they believe the Golden Ratio is the most beautiful and most pleasing shape.

Maybe a ratio is what first attracts one person to another. If so, which one?

Various ratios influence what a person finds attractive. Shoulder-waist ratio, waist-hip ratio, torso length to leg length, face length to face width, and other facial ratios.

Whatever the ratio or body feature that initially captures one’s attention, it’s different for each of us. Gender, age, and culture account for some of the differences in our preferences. In the end, these are selection factors – yep – natural selection.

… and I couldn’t resist these fitting musical selections …