Concepts create idols; only wonder grasps anything. - St Gregory of Nyssa

Thursday, April 7, 2011

Fibonacci Sequence


h/t: Barnhardt.biz

You can find the Fibonacci sequence in all great works of art, as well. (Hover over the pictures to get the overlay.)

Reminds me...as a music student, I studied the 'composition rules' used by J.S. Bach. Excruciating. For me. Of course, the great Bach didn't sit down one evening (after a long day of supporting his 21 children...) and write down rules. Nope, his 'rules' were compiled through the decades prior; he took the grammar of those rules, and showed what could be done within them. "The enemy of art is the absence of limitations."

In school, we studied and sang the Mass in Bminor for one entire school year. We studied glorious balance of each section, relating to other sections; the balance of the entire work: the Credo at the center, the Crucifixus at the center of the Credo.

Indeed.

One commenter notes: 
The Mass in B Minor did not assume its final form until Bach's last years, perhaps by 1748. It may be that Bach wished the Mass in B Minor to be regarded as a monument of his skill, for it is a work based much upon his earlier music, which he adapted and refined to meet a sacred purpose. In choosing to reuse earlier material he may have felt himself to be selecting his finest work, laying it out for inspection, and putting it to the service of praising God.

--from programme notes of the Aylesbury Choral Society, 2004

Soli Deo Gloria.

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