What factors affect the pitch and tuning of organ pipes?

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Discussion Overview

The discussion revolves around the factors that affect the pitch and tuning of organ pipes, including the relationship between pipe dimensions, air properties, and sound frequency. Participants explore both theoretical and practical aspects of how these elements interact in the context of musical instruments.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants propose that pitch increases with the length of the pipe and inversely with its diameter, while others argue that pitch varies inversely with length, suggesting that longer pipes produce lower pitches due to longer wavelengths.
  • It is noted that pitch is directly related to frequency, which is inversely proportional to wavelength.
  • One participant mentions that pressure changes from how hard the pipe is blown have only a slight effect on frequency.
  • Another participant introduces the idea that the medium (air vs. steam) affects the resonant frequency, indicating that different mediums require different tuning approaches.
  • Altitude is discussed as a factor that affects tuning, with thinner air at high altitudes resulting in higher pitches compared to sea level.
  • The diameter of the pipe is said to influence the volume of air and the loudness of the sound produced, with larger diameters needed for lower pitch pipes to maintain loudness.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between pipe length and pitch, with no consensus reached on the exact nature of these relationships. The discussion includes multiple competing models and hypotheses regarding the factors affecting pitch and tuning.

Contextual Notes

Some claims depend on specific definitions of terms like "pitch" and "frequency," and there are unresolved mathematical relationships regarding how these factors interact. The discussion does not fully address the implications of these relationships in practical tuning scenarios.

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The topic came up the other day in class, about how the wave frequencies vary in each pipe of an organ. I am looking for some comprehensive information on the topic, and it would be great if someone could direct me, or maybe help a little bit as I am not so sure, as we haven't covered the topic yet, but a head start is always nice. Thanks =]

From what I know now, I would have thought that the higher pitches would have a shorter wave frequency, than deeper ones.
 
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Well... you're a busy little bugger, aren't you? Questions everywhere... :biggrin:

As a rule, pitch increases with the length, and inversely to the diameter, of the resonating cavity (pipe, in this case). There are factors such as air speed, valving, etc. that can change that significantly, though. I'm leaving off to make way for an expert here.
 
^ Cheers Danger for some help, yeh well I've just sat a physics exam in the past week and got a shock, and really in a subject that I enjoy so much, to be achieving so average, I really want to work at it, and th ebest way is to talk to the people who know what they're on about =] !
 
No, pitch varies inversely with length. For air in a pipe the width only has a small effect.

Pitch is directly related to the frequency, which is inversely proportional to the wavelength.
The wavelength is directly proportional to the length.

Long pipe = long wavelength = low frequency = low pitch
Short pipe = short wavelength = high frequency = high pitch
 
Thank you, is there any more you could tell me on the subject? I'm geussing that is really just the basics, and I am looking to maybe go into a bit more detal. Thanks.
 
What is the relationship between energy and pitch? For example does more energy need to be passed through the pipe for a higher noise? Or is that speed?
 
The pitch of an organ pipe is due to the resonant frequency of the air column. Pressure changes due to how hard the pipe is blown on have only a slight effect on frequency. What does change how a pipe should be tuned is the medium it is played with.

Air has a different resonant frequency than steam in the same pipe. So a steam caliope is tuned differently than an organ played with air because the difference in density of the steam changes the resonant frequency of the air column. You also have to tune an organ differently for major changes in altitude. The thinner air at high altitude will give a higher pitch than the thicker air at sea level.

The length of the pipe controls pitch and the diameter increases the volume of air which gives a louder soundfrom a large diameter pipe than a small diameter pipe pipe. You also have to increase the diameter of a lower pitch pipe to maintain the same loudness since the higher pitch pipe will have more actual energy in the sound than a lower pitch pipe.

Below is a link to a site that will explain some of it to you. Chapter five covers open and closed air columns.


http://www.glenbrook.k12.il.us/gbssci/phys/Class/sound/soundtoc.html
 
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