what does geometry have to do with music?

Question

or relate to.....
i can only think of 4 things and i need 10!
well i have
1) shapes of instruments
2) 90 degree angles of the bar lines
3) notes (dots) on a line ( plotted points)
4) 180 degree angles make up the bar lines (the staff)

Answer 1

Note frequencies are a geometric progression...

Not quite the same geometry you mean, though.

Answer 2

Geometry shares patters like circle and squares; while music shares cord patterns. The idea is that create regular patterns in both. Like "do-da, do-da" that forms a regular pattern and illustrates the geometry of music the best.

The lines upon which the music is written on are parallel and of the same length. These lines also describe the plane of sheet of music.

The sharps and flats as well as the filled circles and the hollow circles of music all describe specific notes like the shapes triangle, square, and circle describe specific shapes.

An E flat and a A flat are both flat notes just like a rectangle and a square are both polygons of the same number of sides. The similarity in their relationships can be expressed as a similarity in geometry.

You can think of the entire bar of music as a graph. The X-axis is the time of the music and the Y-axis is the height of the note A, B, C, D...

Music is performed to a regular beat or rhythm just as geometry uses regular shapes as its basic elements.

The musical cleft is a regular shape that can be created without lifting your pencil from the paper. A musical cleft is similar to the "&" shape and both are shapes are described by lines and arcs.

The length of an instrument is congruent with the note produced. A flute has holes and when the holes are covered up a different note is produced. As the open spaces are closer or further from the mouth piece then they have the same proportion of the line that those points describe. These points will all be collinear.

Violin Strings are also parallel, as are the strings on a cello and a bass. The increasing size of the instruments also is in direct portion to the depth of the notes that instrument produces. For example flutes can reach lower notes than piccolos and trombones which increase the music tube can create even lower notes. A bassoon is the largest reeded instrument that uses a sound tube and it can create the lowest notes thanks to this extra length. But the piccolo, the flute, the trombone, and the bassoon are all related to each other and listed in their order of how low the notes can go from highest to lowest. That’s half a dozen relationships right there.

Just like the length of the sound tube in the reed instruments the size of a drum determines how deep the notes can be. The lager the drum, the lower the note produced. That relates all the drums and relates the drums to the flutes and you can set up a direct relationship between the snare drum and the piccolo to the kettle drum and the bassoon. These are all geometric progressions and relationships.

A most basic instrument the guitar has parallel strings, the strings are all related to the stanzas of the song and the note positions are related to the finger positions on the guitar stings to produce the same notes. So, thorough geometry, you have related the abstract; music to the actual; the guitar in a direct one to one correspondence. Then you can discuss the length of the strings and the tension that acts like a shorter string for a line with more tension on it. Again these relationships match the same relationships of the length of the music tube in the reed instruments which determines that the longer, the lower.

Answer 3

all of these and there is more,
symmetries,
ratio between the notes, see the work that Pythagoras did with the harmony of the spheres.
fractal music. check out this site http://www.fractal-vibes.com/

Answer 4

For another idea, search the web for "Music of the spheres".

Oh, and don't forget the triangle. Ding!

Answer 5

SHAPES!