Music’s bases

Bases of music have been established by mathematicians of antique Greece . That means in a very distanced manner we can believe for an art .

Notes of music being sounds ( vibrations ) , that have a determined period , the thing that characterizes them is a frequency expressed in Hertz ( Hz ) .

The frequency of note La that serves as reference to tune musical instruments is 440 Hz .  This is also the telephone’s tonality ( in France ) .

The simplest relation between two notes is the octave .  For two notes distant of an octave, one has a double frequency of the other .

On a guitar a note played the twelfth square of a string is the superior octave of the free string note .  At this place the string’s length is divided by two .

To constitute a chord it is necessary to use three notes that tune well . That is obtained when frequencies of notes are parts of multiples of the fundamental .

The musical range is established by multiplying the frequency of base ( fundamental ).  For Do :  fundamental x 5 gives the third ( Mi ), fundamental x 3 gives the fifth ( Sol ) .

The result must be divided by two or its multiples to obtain close notes to the base note .

The most exact result is the Sol note ( fifth ) that we  find in the two main chords.

The Mi note ( third ) that is a less precise will be used of two manners .

The Mi note ( very close value to the calculation ) will be used for the major chord .

The minor chord will be played with the Mib note ( or # ), an other close value to the exact calculation .

The sharp ( # ) increases the frequency of a note of a half tone ( a square on the guitar ) and the flat ( b ) decreases it as much .

A half tone is the difference between Mi and Fa ,  Si and Do.  A tone is the difference between Do and ,  Ré and Mi ,  Fa and Sol , Sol and La , La and Si .

As most of the other chords comprise four notes , by playing the two principal chords you do not play false .  Ex :  Do  for  Do6 ,  Do7 ,  Do7M        Dom  for  Dom6 ,  Dom7

In France the major range Do is Do Do Mi Fa Sol La Si , in some countries it is C D E F G A B .  Ex :  La minor chord : Lam or Am    ( La or A alone = Major ) .

To find the other chords it is better to find them yourself  even to learn them without understanding .  EX :  If we add a tone to the three notes that form the Do chord

we obtain those from the chord   Do + 1 tone = Ré    Mi + 1 tone = Fa#    Sol + 1 tone = La    Other Ex :  ( Rém > Mim )  + 1 = Mi    Fa + 1 = Sol     La + 1 = Si     Mim = Mi Sol Si