what is the relation between maths and music?

Question

please give 3 examples with instrument's pictures showing relation between maths and music.

Answer 1

You mean the relation between musicians and maths or literally how mathematical proportions effect the sound that musical instruments produce?

Well to answer the former, theres no connection between musicians and maths. I'm a musician and i hate maths.

To answer the latter, the different lengths of certain parts of instruments relate directly to the note they produce. For example the strings on a piano, lengths and position of the players' finger on the strings of a stringed instrument and the valves of a brass instrument all contribute mathematically to music. Sorry but it's hard to explain precisely - and i can't really be bothered. Look it up on the net. There's also physics involved of course such as the wavelengths of the sounds produced and the natural harmonics of the instrument, but that can be linked mathematically as well.

Answer 2

Music IS math. Many people don't understand what music and sound are. In fact, there's so much math involved, I can't even show you how much there is. Sorry I don't have time to give you some pictures or diagrams, but for three examples you can say...

Sound travels in waves. If you double the frequency of a wave, you will hear a tone that is an octave above the original. It's called an octave because there are 8 harmonic tones that make the major scale. Faster frequencies makes shorter wavelengths and higher trebles tones and a slower frequency makes longer wavelenths and lower bass tones.

The way music is written is broken into measures. There is a fraction at the beginning showing beats per measure over what note is considered a beat. for example, 4/4 timing is where there are 4 beats per measure where a quarter note is considered the beat. There are whole notes, half notes, quarter notes, sixteenth notes, and so on. There is every possible length of note that can be written. How fast the beats go is stated by the beats per minute. The author of the music can suggest a beats per minute ratio by putting it at the beginning or generalizing with allegro, moderato, etc. (those are latin words for different speeds)

Instruments create the desired tones based on the resonant frequencies of the vibrating air. A longer organ pipe makes a lower tone because a longer wavelength resonates in it. A looser string on a guitar makes a lower tone because it vibrates more slowly and has a lower frequency the same way. The string, pipe, or whatever thickness, length, and tension, all change the pitch's frequency and amplitude to make notes and music we hear.

Really, there is so much math involved with music. The way notes are chosen and tuned is completely mathematic.

(if you really need pictures for something, you can look up diagrams of organs, guitars, violins, trumpets, etc.)

Answer 3

There is a deep connection between math and music because both deal with patterns.

I like the mathematical aspects of musical notation. Rhythm is done with binary fractions -- whole, half, quarter, eighth, 16th notes and so on (I think the shortest note I've ever seen was a 128th note).

And on the vertical axis of the musical staff we pretty much plot the logarithm of the frequency of the pitch. Every octave goes up the same distance on the page. It's not a prefect logarithmic plot -- some half steps take up the same space as whole steps, but that's just a minor issue.

Answer 4

Pictures? No, I doubt u'd need those!

Anyways...maths, as u might kno already is based on logic n' mental capabilities based on understanding, right?
Also, music relaxes d mind, right? (U do realize d fact tht maths
can't b done wid Hard Rock music, right?)

When d brains relax, it kinda starts putting things in order. Like, in any library, u'd see books kept in proper order, fiction bookis go in fiction rack, history goes in history, n' so on...
So, when d mind starts relaxing, it sees things a little MORE logically, which thereby, helps it to find solutions in a more easy manner. Got it? But, even in a library, u might hv seen tht some fiction books r not in d proper racks, right? So, d same explaination goes when u find tht even wid relaxing music, u r finding it hard to solve a problem...

N' plz don't mind, but being able to play some intrument or d other does not hv any relation to being able to solve math problems...tht wld b a totally different area!

N' also, plz note tht relaxing music isn;'t only soft piano music or some thing as most ppl think, it can be ANY kind of music...even hard rock for some ppl!

Answer 5

Hi Pawan Every Subject has some or the other way relation with Music as it a Divine factor. For your question the influencing one are the combination of the music notes with 1 ,3,5 ,7 and its double with each notes.

Answer 6

Both are universal, in the sense that anybody can understand them( at least the basics) no matter of nationality. You can hear that math or music is "universal language".
Both are abstract, evasive, hard to define.
Also there is some kind of harmony between musical notes and some people thought that good music means proper mathematical fractions (like the golden number). They studied these similarities.

Answer 7

*:)

To SCIENTIFICALLY distinct music and noise, you must know that music sound waves go in a pattern, whereas noies waves don't. A correlation between music and math.

Patterns are part of math.

Answer 8

i am good at doing maths but i can't sing .
i listen to music while doing maths.
i do most of the sums wrong while listening to music.
that's the simple relation.

Answer 9

I can't show you pictures, but I know one difference: Math you work out, music you sing.

Answer 10

when you are thinking to solve try to listen to music :D :D