Bases of music
have been established by mathematicians of antique
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
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 Ré# ), 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 , 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 Ré 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 Ré chord Do + 1 tone = Ré Mi + 1 tone = Fa# Sol + 1 tone = La Other Ex : ( Rém > Mim ) Ré + 1 = Mi Fa + 1 = Sol La + 1 = Si Mim = Mi Sol Si