The tuning system used in the West today is called Twelve-Tone Equal Temperament. One arrives at this tuning by simply dividing the octave into twelve equidistant semitones.
Modern tuning terminology uses the word “cent” to describe 1/1200th of an octave. If an octave is divided into twelve equal semitones, then each semitone is positioned at a distance of 100 cents from the previous one. Thus, a tuning table for Twelve-Tone Equal Temperament looks like this:
|
SEMITONE
|
SIZE
|
POSITION
|
INTERVAL NAME
|
|
1 (C)
|
100
|
0
|
Unison
|
|
2 (C# or Db)
|
100
|
100
|
Minor second
|
|
3 (D)
|
100
|
200
|
Major second
|
|
4 (D# or Eb)
|
100
|
300
|
Minor third
|
|
5 (E or Fb)
|
100
|
400
|
Major third
|
|
6 (F or E#)
|
100
|
500
|
Fourth
|
|
7 (F# or Gb)
|
100
|
600
|
Augmented fourth/Diminished fifth
|
|
8 (G)
|
100
|
700
|
Fifth
|
|
9 (G# or Ab)
|
100
|
800
|
Minor sixth
|
|
10 (A)
|
100
|
900
|
Major sixth
|
|
11 (A# or Bb)
|
100
|
1000
|
Minor seventh
|
|
12 (B or Cb)
|
100
|
1100
|
Major seventh
|
|
13 (C)
|
100
|
1200
|
Octave
|
It is evident that each succeeding semitone is the same distance from the preceding one. If one was to play all the semitones in a row, he or she would be playing a Chromatic Scale. Here is an example of it, played on a piano through two octaves.
To find out how Western music arrived at Twelve-Tone Equal Temperament, click here to go on to the next page.