Geometrein by life

More about geometry in music Music finds one of its main pillars compositional, present in almost any piece of music, which gives rise to work in the classroom with the geometric concepts from the musical perspective:  The analysis of the musical structures of the scores develops the analytical capacity geometry and its transformations.  Dance helps to consolidate geometric concepts and helps to calculate areas and perimeters.   Musical instruments are a tool in the understanding and real application of calculations of areas and volumes.  The concepts of frequency and waves, together with the geometry and design of instruments, develop the ability to relate different mathematical-physical concepts with the real manipulation through the construction of instruments (technology subject).  Computer-composed music works on the concept of fractals and algorithms. Musical mathematics draws heavily on the branch of geometry, a veryused in musical compositions. The combination of symme...

 El número áureo y la sucesión de Fibonacci The Fibonacci sequence and the golden ratio are present in musical compositions, in compositional relationships; for example, in the proportion of the different sections into which a piece is divided, as is the case with some Mozart sonatas. Contemporary composers have used this sequence and the golden ratio to compose their works, as in the case of Béla Bartók, who developed the 'Fibonacci scale' and used these mathematical resources to compose his work 'Music for stringed instruments, percussion and sky blue'; Schillinger, who devised a musical composition system where the notes followed in Fibonacci intervals, or even Joan Serra, who in the year 2000 composed an electronic work based on this sequence. But to apply it in another way, it is much more interesting to see it in the proportions of some instruments than analyzing scores, a task that can be complex. For example. the number phi 𝜑 was used by Stradivarius to calcula...

 What would our lives be without music? And what would music be without geometry? Did you know that some classics composers  composed their works based, sometimes intuitively, on structures mathematics and aesthetic and geometric patterns? For example, Bach, whose work is full of structures geometric and numerical keys, or Chopin, who used modular arithmetic by putting into a dodecagon the 24 existing shades. Bartók also used geometry to "write" music for stringed, percussion, and celesta instruments. Look at the picture, isn't it amazing?: You can also look his Fibonacci scale: The writing of music, universal language, part of geometry. The base element is the pentagram, which is a construction of five horizontal parallel lines . This staff must be filled or completed with musical figures that are formed with spheres, circles or lines . The combination of these geometric elements will determine the duration of this musical figure formed. The position on the staff will de...