Golden Section

Golden Section is an album about communication, from the basic human need to communicate (and what happens when we miscommunicate) to the subtle way we perceive beauty in art and natural forms.

The golden ratio is prevalent throughout art and architecture after being derived by the ancient Greeks and the ancient Egyptians to create a feeling of natural order, as well as structural integrity. Iktinos, an architect from 5th century BC who designed the Parthenon, used the golden ratio throughout his work and Le Corbusier incorporated the concept into the Modulor, an architectural system he described as a "range of harmonious measurements to suit the human scale, universally applicable to architecture and to mechanical things."

The Golden Mean, 1:1.618034, is represented by the Greek letter phi (). It is a naturally occurring number, like pi, that repeatedly occurs in various relationships. Like pi, it is an irrational number. Unlike pi, it clearly and regularly appears in the growth patterns of many living things, like the spiral formed by a seashell or the curve of a fern. It is in fact the only growth pattern that, if continued, is not doomed to failure.

Plato said that a line so divided into two unequal segments so that the smaller bore the same relationship to the larger as the larger to the whole line, would represent a special kind of proportional relationship with important properties.

line

Using the line segments above, AB is to BC as BC is to AC. Euclid discussed this relationship in his book on proportion in geometric terms, naturally stopping short of identifying exact numbers, which would have been inconceivable with the primitive Greek numerical system.

Leonard of Pisa (1170-1250), better known as Fibonacci, introduced the Fibonacci Series, a sequence of numbers:

 

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1,597 in which any number is the sum of the two preceding members.

 

The Fibonacci Series and the Golden Mean are intimately connected. The Fibonacci Series numbers increase at a rate equal to (actually, oscillating round) the Golden mean; the larger the numbers, the closer to the Golden Mean. A rectangle whose sides are related by phi (such as 13 x 8) is said to be a Golden Rectangle. Proportion is the relationship of the size of two things. Arithmetic proportion exists when a quantity is changed by adding some amount. Geometric proportion exists when a quantity is changed by multiplying by some amount. Phi possesses both qualities, and as such, is considered perfect proportion, also referred to as the Divine Proportion.

The occurrence throughout nature is quite remarkable. The Nautilus shell (Nautilus pompilius) grows larger on each spiral by phi;  

The sunflower has 55 clockwise spirals overlaid on either 34 or 89) anticlockwise spirals, a phi proportion; the number of leaves on different plants conform to the Fibonacci series, lily, iris (3 petals); buttercup, wild rose, larkspur, columbine (5); delphiniums (8); ragwort, corn marigold, cineraria (13); aster, black-eyed Susan, chicory (21); plantain, pyrethrum (34); michaelmas daisies (55, 89). Pine cones clearly demonstrate Fibonacci spirals.

 

A normal human heart beats in a phi rhythm, with the T point of a normal electrocardiogram (ECG or EKG) falling at the phi point of the heart's rhythmic cycle. Prominent parts of the ECG are the P wave, a deflection caused by the current originating in the atrium; the QRS complex, showing the passage of the electrical activity into the ventricles; and the T wave, as the ventricles reset themselves.

Even music has a foundation in the series, as: 13 notes separate each octave of 8 notes in a scale, of which the 5th and 3rd notes create the basic foundation of all chords, and are based on whole tone which is 2 steps from the root tone, that is the 1st note of the scale. Note too how the piano keyboard scale of 13 keys has 8 white keys and 5 black keys, split into groups of 3 and 2.

Track listing:

1) Communication between electric bodies under sodium lamp   (15'01)

2) Landscape   (5'40)

3) Communication reprise   (4'28)

4) Atrium   (9'30)

5) Nautilus shell   (6'46)

6) Fibonacci series   (6'44)

7) 30 St Mary Axe   (4'59)

8) You don’t listen to a thing that I say   (2'13)

golden-section T wave octave Atrium

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