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Along with the fundamental wave briefly described above, harmonics or overtones  are also formed in the organ pipe. Thus in an open pipe, we observe the second harmonic whose frequency f=V/L. In the case of an 8' pipe we would get the 64 Hz fundamental plus a second harmonic of frequency 128 Hz. Similarly third and higher order harmonics all add to the richness of the sound.

As a general rule of thumb, the narrower the pipe, the more harmonics it will have, and the wider the pipe, the fewer harmonics it will have. Straight pipes also have more harmonics than tapered pipes. So an organ builder has plenty of things to change to make different sounds: tube shape (straight, tapered), whether is it stopped or not, and pipe material composition.

Appendix B. Air Chest -more later.

Appendix C. Organ Divisions for the Village Church Organ

Allen R-465 Digital

PEDAL
64        Resultant
32        Centre Bourdon
32        Contra Violone
16        Diapason
16        Bourdon
16        Bourdon Doux (Sw)
16        Violone
16        Contra Gamba (Sw)
8          Octave
8          Gedacktflote
8          Gamba (So)
4          Choralbass
4          Flute
IV         Mixture
32        Centre Bombarde
32        Contra Double Trumpet (Gt)
16        Bombarde
16        Double Trumpet (Gt)
8          Trompette
4          Clarion

GREAT
16       Double Diapason
16       Bourdon
8         Diapason
8        Harmonic Flute
8         Bourdon
8         Gamba
4         Octave
4         Spitz Flute
2 2/3   Twelfth
2        Fifteenth
2         Waldflute
IV       Mixture
III       Sharp Mixture
16       Double Trumpet
8        Tromba
Tremulant
Chimes

SWELL
16        Bourdon Doux
8         Geigen Diapason
8         Bourdon
8         Flute Celeste H
8         Salicional
8         Voix Celeste
4         Geigen Octave
4         Traverse Flute
2 2/3   Nazard
2         Piccolo
1 3/5    Tierce
IV        Fourniture
16        Contre Trompette
8         Trompette
8         Hautbois
8         Vox Humana
4         Clarion
Tremulant

CHOIR
16        Contre Viole
8         Holzgedackt
8         Viole
8         Viole Celeste
4         Prinzipal
4         Koppelflote
4         Violes n
2         Oktav
1 1/3   Quintflote
III         Cymbale
16        Rankett
8         Cromorne
Tremulant

SOLO
16       Gamba Celeste II
8        Flauto Mirabilis
8         Solo Gamba
8        Gamba Celeste
4         Gambette Celeste II
16       Tuba Mirabilis
8        Tuba Mirabilis
8        French Horn
8        Corno di Bassetto
8        Cor Anglais
4        Octave Mirabilis
Tremulant
Celesta
Harpsichord

STRING
8        Viole
8        Viole Celeste
8        Gamba
8         Gamba Celeste
8         Dulcet
8         Dulcet Celeste
8         Vox Angelica
8        Vox Humana
Tremulant
Celesta

Pipes 

new exposed Great - old pipes reconfigured

32       Resultant
16       Montre
16       Bourdon
16       Flute Bouchee

16       Violee de Gambe
 8         Diapason
 8         Bourdon 

 4 Diapason
 4 Bourdon
 derived from 4 Octave 

16       Trompette

 8        Trompette
 4        Trompette

16        Montre (Swell)
16        Bourdon
8         Diapason
8         Harmonic Flute (Bourdon bass)
8         Bourdon
8         Viole de Gambe (Choir)
4         Octave
4         Harmonic Flute
2 2/3   Twelfth
2         Fifteenth
2         Bourdon
1 1/3  Mixture III
1/2      Mixture III
16        Trompette (Swell)
8         Trompette (Swell)
Tremulant

16       Flute Bouchee
8         Montre
8         Flute a Cheminee
8         Flute Conique/Flute Celeste
8         Viole Conique
8         Voix Celeste
4         Prestant
4         Flute Bouchee

2 2/3 Nazard
2         Flute a Cheminee
1 3/5   Tierce t.c.
Ill         Mixture
16        Trompette
8         Trompette
8         Hautbois
8         Voix Humaine
4         Trompette
Tremblant

16        Viole de Gambe
8         Cor de Chamois
8         Viole de Gambe
8        Viole Celeste
4        Viole de Gambe
4         Bourdon
4        Viole de Gambe/Voix Celeste
2         Viole de Gambe
1 1/3   Bourdon
16        Cromhorne t.c.
8        Cromhorne
Tremblant