mathematics and music?

Question

Are there any relation between math and music ? Please explain how? and what makes some one better in math.

Answer 1

Music is made up of sound. Sound is made from repeating sound waves. The musical pitch of each note has a corresponding frequency measured physically in hz (hertz) or cycles per second. There are some important mathematical relationships between the notes played in music and the frequency of those notes.


The first person to make the connection between math and music was Pythagoras of Samos, a famous philosopher and cult leader who lived most of the time in southern Italy in 5th century BC. Among his claims to fame is the oldest known proof of what we call the "Pythagorean Theorem".

Why does a flute and a violin sound different when they play the same note? The answer is harmonics. Harmonics is also why scales have different feels to them. Most of what follows was discovered by German scientist Hermann Helmholtz in the 19th century, but surprisingly many musicians are unaware of this hidden connection between math and music.

Tunings:
A frequently-asked question is, why are there 12 tones in an octave? The answer has to do in part with the nature of sound.

The "Mozart Effect"
One of the most publicized links between music and academic subjects (including mathematics) is the "Mozart effect": the claim that exposure to certain types of music -- especially exposure to _early classical_ music, very _early in life_ -- can lead to improved performance on test scores, including tests of spatial visualization, abstract reasoning, and so on.

I hope , I gave enough examples.

Answer 2

Its right the temperate chromatic Scale can be described as f = fo*2^(n/12)
Its easy to se that you have the k-te Octave for n = 0+ k*12, let for example k=1 and you have f = 2fo
You probably know that the Ionic scale or the Major scale goes like this cdefgahc.
The scale, on a keyboard, repeated it selves several times, so it is possible to view the scale as a circle, try to watch this circle as a watch with the note C in the position of 12 and Cis on the position of 1 an so on. Note that 12 can be regarded as 0
0. 1 . 2. .3 . 4. .5 .6. .7. .8. 9 .10.11 12
░│█│░│█│░│░│█│░│█│░│█│░│░
C c# D. D#.E. F. f#. G.G#.A .a#. B. C

I hope you can imagine a circle in the head, but otherwise look at my avatat, its actually temperate chromatic Scale but instead of starting with c, I have for reason, I will explain later started with D so the scale will bee the Dorian Scale
Its well known that the Major C consist of the CEG and they have the value 0, 4 ,7 on the watch .
If you take the interval between the notes C-E, E- G and G- C you will get 4- 0 = 4, 7- 4 = 3 and 12 - 7 =5 and 4^2 +3^2=5^2.
I.e. the Pythagorean theorem is somehow involved in the major scale.
The result I have showed here is general for all Major triads, and for the A minor its will be ACE =>[ A-C, C- E , E - A] = [12-9,(4-0 or 16-12 ), (9-4 or 21-16)] = [3 , 4 , 5 ].you see for the Minor scale we have 3^2+4^2 = 5^2 which is general for all minor triads.
The reason while I have chosen the D minor in my Avatar, is that, its make it so easy to explain the origin of the diatonic heptatonic scale. First you place D in the position of 12, and then you add a little third e.g. 3 and then you ad the big third 4 and then again 3 and the again 4, you repeat this until you come to D again. and you have the diatonic D minor- or Dorian scale
e.g. D+3=F, F+4= A, A+3 = C ,C+4 =E , E+3 = G, G +4 =B, B+3= D we have now the series DFACEGBD
DFA= D minor, FAC= F major, ACE = C major, EGB = E minor, GBD = G major. The note can be rearrange in the series defgabcd.

From old time, there was a magic formula Δ | □│☼. The last symbol is representing a pentagram, a star with 5 spikes. It was read like this:" the third the first the forth the first the five", and is actually representing Pi 3,1415 but do also have something to do with the Major triad. In some old books of freemason, you can read the tree with the four go together to the seven, and with the 5 they make a roundness e.g. 3+3 =7 & 7+5 =12 strange case. You can read much more about this in the book of HP Blavatsky " The secret doctrine". I know there is an online free version in the internet at http://www.theosociety.org/pasadena/sd/sd-hp.htm . It consists of three very comprehensive books, just to tell you. It is at books of theosophy, and Madame Blavatsky is from the 19th century. She try to connect all religion in the world and old Hindi wisdom, and it is said the Albert Einstein always had the books on his writing table, in order to be inspired. The books are very difficult-, but also very interesting reading.
If you try to play E# and E which have the value 3 and 4 its like G = 3+4=7 is the answer of question E# & E , by the way its the 3 first note in Stormy Weather,
and you can find lot of oddity in this circle.

Try to draw a straights line between the note dfaceghd, and you will see at star very alike the star of Jews. Think over that we have 7 days in a week like the heptatonic scale, 12 month in the year, and 3*4=12 H & 3*4*5=60 (min, sec) , 3*4*5*6=360 (degree ), (3*4*5*6)^2= 36000 seconds in an hour.

Answer 3

mathematics is the basis of all sciences and the science of music is no exception
the relationship of the notes,the cords,the frequencies of the various notes are all mathematical
yes some are by nature trifle better than others in mathematics,but only a trifle.if they really want to rise to the level of those better than them they can always do so with grit and determination

Answer 4

The frequencies of the notes in the chromatic musical scale can be defined as f = 2^(n/12). Octaves are intervals of n = a+12m

Answer 5

what the heck is dyscalculate? i could guess so considered as there is often a undeniable quantity of strains in a verse and there's a formula!, an intro, a hook, a verse, a refrain, a verse, a refrain a verse etc!