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Harmonic series

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Every single tone sounding creates a series of sympathetically sounding overtones. The simplest series of overtones is the harmonic series.

Definition

The harmonic series is a sequence of harmonics, of overtones and a fundamental, ordered and represented by whole numbers and their inversions.

As the harmonic series progresses upwards, the intervals gradually become smaller.

Harmonics 4, 5 and 6 form a major triad; 4, 5, 6 and 7 an approximate dominant seventh chord.

Notation

The series below gives an approximation of the pure harmonics 1 through 16, with the help of quarter tones:


\version "2.12.2"
\relative c, 
{
<<
</p>
<pre> \new Staff \with { \remove "Time_signature_engraver" } {
   \cadenzaOn
</pre>
<pre> \clef treble   { \override Staff.Stem #'transparent = ##t s4 s s \parenthesize c'' e4 g beseh c d e fih g aeh beseh b c s }
 }
</pre>
<p>\addlyrics { " " "5" "6" "7" "8" "9" "10" "11" "12" "13" "14" "15" "16" } 
</p>
<pre> \new Staff \with { \remove "Time_signature_engraver" } {
   \cadenzaOn
</pre>
<pre> \clef bass     { \override Staff.Stem #'transparent = ##t c,,,, c' g' c }
 }
</pre>
<p>\addlyrics { "1" "2" "3" "4" }
>>
}


See also

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