Drawbar/Harmonic Waveform Viewer

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

View the additive sine waveforms for 11 drawbar organ stops with values from 0-9 or use values from 0-15 for each of the first 24 harmonics.

Contributed by: Benjamin Robert Tubb (March 2011)
Open content licensed under CC BY-NC-SA



The 11 drawbar stops are based on the Hammond organ model X-66, representing the following stops and harmonics. Stops are given as "footages" where 8' is equal to a fundamental's pitch, 16' is one octave lower, 4' is one octave higher, etc. The fractions used are based on the denominators 3, 5, and 7 and are related to the , and major scale degrees, respectively. Thus an 8/9' is related to a that is three octaves higher than the fundamental 8' (i.e., -1 octave=16', 0 octave=8', 1=4', 2=2', 3=1', and 4=0'). However, in the waveform graphs, the octaves are all adjusted down one octave to allow the most harmonics to be defined based on the lowest drawbar being treated as a fundamental. Thus the table below is to be used as a relative reference to what is implemented in this Demonstration. Note that drawbars 10 and 11 are unique in combining two stops each, with the second stop's amplitude equal to half of the first stop's amplitude. Thus one value is applied to both stops and harmonics simultaneously. More control can be achieved with the harmonic waveform viewer if desired.

Snapshot 1: diapason 16' [87 7632 000 00].

Snapshot 2: contrabass 16' [24 1141 010 10]

Snapshot 3: FEDCBA987654321 pulse/saw-like wave

For two outstanding reference sources for organ drawbar settings and the history of organ stops see:

S. Irwin, Dictionary of Hammond Organ Stops: A Translation of Pipe-Organ Stops into Hammond Organ Number-Arrangements, 4th ed., New York: G. Shirmer, 1970.

G. A. Audsley, Organ-Stops and Their Artistic Registrations, New York: H. W. Gray Co., 1921 [renewed 1949].

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.