Spoke Tension by Ear?
#1
Keepin it Wheel
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Spoke Tension by Ear?
It seems to me that it must be possible to judge spoke tension by ear, rather than tensiometer
When you spin a wheel and let an allen wrench or screwdriver blade lightly tap/bounce off of the spokes as they go by, each spoke will resonate with a pitch that is completely determined by its tension (and thickness and length, but those will all be the same for the same wheel). Left side rear spokes will have lower tension/pitch then right side, but it's easy enough to just strike just rights or just lefts.
For a wheel just built from a perfectly true rim (so no spoke has to work extra hard to pull the rim true in a certain spot), equal tension should mean every left-rear spoke rings the same pitch, every right-rear spoke rings the same pitch, and every front spoke (assuming non-dished) rings the same pitch. It seems like instead of a TM-1 and a deflection-force conversion chart, it should be possible to use a tuning fork and a pitch-force conversion chart.
And somebody (maybe even me) should be able to convert the statement "A wheel with spokes that are within plus or minus 20% of the wheel's average spoke tension is generally considered to have acceptable relative tension." into "A wheel with spokes that ring with pitches within plus or minus X...", for X=minor third, or something like that (2x pitch = 1 octave, but does 2x tension = 2x pitch?)
On a related note, would anybody start a wheel truing (building?) by first setting all spokes (per side) to equal tension (pitch) according to rim spec (say, hypothetically, Mavic Open Sport rear takes A440 on the drive side and E-flat below that NDS), and then removing any residual runout and hop?
When you spin a wheel and let an allen wrench or screwdriver blade lightly tap/bounce off of the spokes as they go by, each spoke will resonate with a pitch that is completely determined by its tension (and thickness and length, but those will all be the same for the same wheel). Left side rear spokes will have lower tension/pitch then right side, but it's easy enough to just strike just rights or just lefts.
For a wheel just built from a perfectly true rim (so no spoke has to work extra hard to pull the rim true in a certain spot), equal tension should mean every left-rear spoke rings the same pitch, every right-rear spoke rings the same pitch, and every front spoke (assuming non-dished) rings the same pitch. It seems like instead of a TM-1 and a deflection-force conversion chart, it should be possible to use a tuning fork and a pitch-force conversion chart.
And somebody (maybe even me) should be able to convert the statement "A wheel with spokes that are within plus or minus 20% of the wheel's average spoke tension is generally considered to have acceptable relative tension." into "A wheel with spokes that ring with pitches within plus or minus X...", for X=minor third, or something like that (2x pitch = 1 octave, but does 2x tension = 2x pitch?)
On a related note, would anybody start a wheel truing (building?) by first setting all spokes (per side) to equal tension (pitch) according to rim spec (say, hypothetically, Mavic Open Sport rear takes A440 on the drive side and E-flat below that NDS), and then removing any residual runout and hop?
Last edited by RubeRad; 11-27-12 at 05:39 PM.
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I tension by feel and tone because I don't have the money for a tension meter. It works fine. I will get to about 97 percent complete on a wheel build at home and then bring it to my coop and quite often, it needs no more truing.
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Experienced wheelbuilders have never had a problem with eliminating spoke to spoke variation in spoke tension without reliance on a spoke tension meter. They've long used sound and/or in combination with good building technique to build wheels with even tension.
However, sound cannot be used for measuring actual tension or the average tension in the wheel. I built wheels for decades without a tension meter, relying on my calibrated fingers to set wheel tension where I felt it needed to be. However, today's stiffer rims, low spoke count wheels, high tension values, and tighter tolerance due to highly dished rear wheels have forced me to break down and buy a tension meter. I do not use it to compare tension of various spokes, but as a spot check of my fingers' calibration and to ensure that the average tension is where I want it to be.
However, sound cannot be used for measuring actual tension or the average tension in the wheel. I built wheels for decades without a tension meter, relying on my calibrated fingers to set wheel tension where I felt it needed to be. However, today's stiffer rims, low spoke count wheels, high tension values, and tighter tolerance due to highly dished rear wheels have forced me to break down and buy a tension meter. I do not use it to compare tension of various spokes, but as a spot check of my fingers' calibration and to ensure that the average tension is where I want it to be.
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You can get relative tension about as uniform using tone as you can with a Park meter - the last front wheel (Reflex clincher, 32 2.0/1.5 DT Revolutions cross-3) I built before getting mine was +9 and -5% at 120 and 104 kgf with a 110kgf average except at the bend that had me replacing the rim. Doing so is also faster than trying to measure.
With moderate weight box section rims and traditional spoke counts you can also get absolute tension right using the Jobst Brandt method of alternately adding tension and stress relieving until the wheel goes out of true in waves at which point you've reached the rim's elastic limit, reduce tension 1/2 turn, true, and be happy. That doesn't work for deep rims and/or low spoke counts where the spoke bed's fatigue life will be the limiting factor and even in wheels where it works using a tension meter and only stress relieving once is faster and more pleasant.
On a related note, would anybody start a wheel truing (building?) by first setting all spokes (per side) to equal tension (pitch) according to rim spec (say, hypothetically, Mavic Open Sport rear takes A440 on the drive side and E-flat below that NDS), and then removing any residual runout and hop?
Last edited by Drew Eckhardt; 11-28-12 at 12:56 PM.
#5
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I know my very limited experience has suggested otherwise. But, I'm all ears as to what others have found. I believe the tension by ear techinique is a theory that has been around a long time and may be used by those who do quite a lot of wheel building. But, I also recall that one of the authors of the most common texts was reported to have changed his tune about tensioning by ear once he actually started using a tension meter.
And that +/- 20% figure is entirely inadequate when building wheels for clydes or other heavy users. Personally, I'm aiming for +/- <5%.
And that +/- 20% figure is entirely inadequate when building wheels for clydes or other heavy users. Personally, I'm aiming for +/- <5%.
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FB- I'm in the same boat as you are. The first real shop i worked at didn't believe in buying prebuilt wheels. We gave a small credit for the hubs on the wheels we replaced (dependent on condition of course) and during the off season we cleaned up the hubs and built wheels. When you build 5-10 wheels a day for a few weeks you get pretty comfy with judgemnents. Now things are not so much different but more critical to be within a "right' range.
Back in the day my cousin, John S Allen, wrote an artical for Bike World about truing and tensioning by tone. he had some mathmatical formula to determin the pitch of a plucked spoke and how it related to length, gauge and tension. Andy.
Back in the day my cousin, John S Allen, wrote an artical for Bike World about truing and tensioning by tone. he had some mathmatical formula to determin the pitch of a plucked spoke and how it related to length, gauge and tension. Andy.
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This topic has been discussed ad-nausem here over and over:
To make it short:
By sound is good for:
- Isolating a rogue spoke
- Partial verification of even relative tension per side of wheel
- Partial indication of overly low or high average tension - i.e., the normal pinch one expects to hear isn't present
By meter is good for:
- Actual tension reading per spoke and across spokes for an average
- Consistency in tension efforts from wheel to wheel
- Speed
- Certification of sorts - especially for high cost high ends wheel as some customers expect it.
Sure it is possible to use sound to determine actual spoke tension - but the variety in crossings, lengths, gauges, make it pretty much feasible primarily for a shop that builds a statically configured set of wheels for periods of time for which they have charted tension > pitch equivalency via testing.
But most shops and builders are building a variety of wheels with random parts and configuration variability. For those environments, a tension meter is quick and efficient.
=8-)
To make it short:
By sound is good for:
- Isolating a rogue spoke
- Partial verification of even relative tension per side of wheel
- Partial indication of overly low or high average tension - i.e., the normal pinch one expects to hear isn't present
By meter is good for:
- Actual tension reading per spoke and across spokes for an average
- Consistency in tension efforts from wheel to wheel
- Speed
- Certification of sorts - especially for high cost high ends wheel as some customers expect it.
Sure it is possible to use sound to determine actual spoke tension - but the variety in crossings, lengths, gauges, make it pretty much feasible primarily for a shop that builds a statically configured set of wheels for periods of time for which they have charted tension > pitch equivalency via testing.
But most shops and builders are building a variety of wheels with random parts and configuration variability. For those environments, a tension meter is quick and efficient.
=8-)
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5000+ wheels built since 1984...
Disclaimer:
1. I do not claim to be an expert in bicycle mechanics despite my experience.
2. I like anyone will comment in other areas.
3. I do not own the preexisting concepts of DISH and ERD.
4. I will provide information as I always have to others that I believe will help them protect themselves from unscrupulous mechanics.
5. My all time favorite book is:
Kahane, Howard. Logic and Contemporary Rhetoric: The Use of Reason in Everyday Life
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Why couldn't I find it? Do the discussions use different terms than "spoke tension pitch"?
While I (0 wheels built) certainly don't presume I can argue with 3000+ wheels built, since we're discussing here, I would argue that pitch could provide a speed advantage over meter.
Given the extra variables you mention that I did not originally consider (crossings, lengths, gauges, also add rim and hub size/construction/material), I grant it may not be feasible to build a reliable conversion chart for all (or even many) possible combinations.
But, for one particular wheel, equal tension should mean equal pitch, so I can envision that (someday, when I retire and have more time to play with bikes), I could be a wheelbuilder that would alternate between occasionally metering one spoke, adding equal tension to all spokes to bring them to a higher pitch (where equal tension is judged by same pitch for a wheel revolution), meter a spoke to guesstimate how much addition pitch I should add, rinse, repeat.
Probably do a final, complete run of tensions on every spoke only at the very end.
What's a tension reading take, maybe 2-3sec ea? So that's a minute or two for a whole wheel, vs maybe 5 sec for a wheel revolution?
While I (0 wheels built) certainly don't presume I can argue with 3000+ wheels built, since we're discussing here, I would argue that pitch could provide a speed advantage over meter.
Given the extra variables you mention that I did not originally consider (crossings, lengths, gauges, also add rim and hub size/construction/material), I grant it may not be feasible to build a reliable conversion chart for all (or even many) possible combinations.
But, for one particular wheel, equal tension should mean equal pitch, so I can envision that (someday, when I retire and have more time to play with bikes), I could be a wheelbuilder that would alternate between occasionally metering one spoke, adding equal tension to all spokes to bring them to a higher pitch (where equal tension is judged by same pitch for a wheel revolution), meter a spoke to guesstimate how much addition pitch I should add, rinse, repeat.
Probably do a final, complete run of tensions on every spoke only at the very end.
What's a tension reading take, maybe 2-3sec ea? So that's a minute or two for a whole wheel, vs maybe 5 sec for a wheel revolution?
#9
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That would be exactly what I'm asking about, I don't suppose the article is online? (or you would have linked it already?)
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From the man himself.
No. You can judge spoke tension by the pitch, but actual truing must be done by looking at the rim as it turns.
See: https://sheldonbrown.com/wheelbuilding
Tightening spokes doesn't make other spokes get loose, as a general rule.
People have been building spoked bicycle wheels for 150 years, but tensiometers have only been readily available for the last 10-15 years. They're handy, but by no means essential.
Sheldon "Plink" Brown
See: https://sheldonbrown.com/wheelbuilding
Tightening spokes doesn't make other spokes get loose, as a general rule.
People have been building spoked bicycle wheels for 150 years, but tensiometers have only been readily available for the last 10-15 years. They're handy, but by no means essential.
Sheldon "Plink" Brown
Code:
+-------------------------------------+ | Only those who attempt the absurd | | will achieve the impossible. | | --Albert Einstein | +-------------------------------------+
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Why couldn't I find it? Do the discussions use different terms than "spoke tension pitch"?
While I (0 wheels built) certainly don't presume I can argue with 3000+ wheels built, since we're discussing here, I would argue that pitch could provide a speed advantage over meter.
Given the extra variables you mention that I did not originally consider (crossings, lengths, gauges, also add rim and hub size/construction/material), I grant it may not be feasible to build a reliable conversion chart for all (or even many) possible combinations.
But, for one particular wheel, equal tension should mean equal pitch, so I can envision that (someday, when I retire and have more time to play with bikes), I could be a wheelbuilder that would alternate between occasionally metering one spoke, adding equal tension to all spokes to bring them to a higher pitch (where equal tension is judged by same pitch for a wheel revolution), meter a spoke to guesstimate how much addition pitch I should add, rinse, repeat.
Probably do a final, complete run of tensions on every spoke only at the very end.
What's a tension reading take, maybe 2-3sec ea? So that's a minute or two for a whole wheel, vs maybe 5 sec for a wheel revolution?
While I (0 wheels built) certainly don't presume I can argue with 3000+ wheels built, since we're discussing here, I would argue that pitch could provide a speed advantage over meter.
Given the extra variables you mention that I did not originally consider (crossings, lengths, gauges, also add rim and hub size/construction/material), I grant it may not be feasible to build a reliable conversion chart for all (or even many) possible combinations.
But, for one particular wheel, equal tension should mean equal pitch, so I can envision that (someday, when I retire and have more time to play with bikes), I could be a wheelbuilder that would alternate between occasionally metering one spoke, adding equal tension to all spokes to bring them to a higher pitch (where equal tension is judged by same pitch for a wheel revolution), meter a spoke to guesstimate how much addition pitch I should add, rinse, repeat.
Probably do a final, complete run of tensions on every spoke only at the very end.
What's a tension reading take, maybe 2-3sec ea? So that's a minute or two for a whole wheel, vs maybe 5 sec for a wheel revolution?
2. Do you understand the difference between theory and properties and then actual application especially where economics are a concern?
1-2 seconds on average - only a few spokes at a time during most of the build. More spokes read in the last few tension cycles to finish the wheel.
Despite its imperfections, the tension meter has one "beauty" to it: It makes no assumptions about crossing, gauges, etc. It simply measures a given deflection per given distance. When interpreted, the chart only makes an assumption about the material, profile and gauge - nothing more.
As I stated earlier, this has been discussed many times over - even to the point of people going at each other's throats. Usually because someone starts to push advocacy rather than discussion. Most of us here understand how both work - and don't really have any beef against the sound method in general.
Someone did post earlier a link to an Easton video - where both methods are used concurrently. It's a nice video to watch...hopefully someone can post it again.
=8-)
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5000+ wheels built since 1984...
Disclaimer:
1. I do not claim to be an expert in bicycle mechanics despite my experience.
2. I like anyone will comment in other areas.
3. I do not own the preexisting concepts of DISH and ERD.
4. I will provide information as I always have to others that I believe will help them protect themselves from unscrupulous mechanics.
5. My all time favorite book is:
Kahane, Howard. Logic and Contemporary Rhetoric: The Use of Reason in Everyday Life
5000+ wheels built since 1984...
Disclaimer:
1. I do not claim to be an expert in bicycle mechanics despite my experience.
2. I like anyone will comment in other areas.
3. I do not own the preexisting concepts of DISH and ERD.
4. I will provide information as I always have to others that I believe will help them protect themselves from unscrupulous mechanics.
5. My all time favorite book is:
Kahane, Howard. Logic and Contemporary Rhetoric: The Use of Reason in Everyday Life
#12
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https://www.youtube.com/watch?v=bdQB3..._embedded#t=0s
From this old thread:
https://www.bikeforums.net/showthread...on+sound+pitch
Only took 15 seconds in advanced search to find it:
"tension sound pitch"
"Bicycle Mechanics"
=8-)
From this old thread:
https://www.bikeforums.net/showthread...on+sound+pitch
Only took 15 seconds in advanced search to find it:
"tension sound pitch"
"Bicycle Mechanics"
=8-)
__________________
5000+ wheels built since 1984...
Disclaimer:
1. I do not claim to be an expert in bicycle mechanics despite my experience.
2. I like anyone will comment in other areas.
3. I do not own the preexisting concepts of DISH and ERD.
4. I will provide information as I always have to others that I believe will help them protect themselves from unscrupulous mechanics.
5. My all time favorite book is:
Kahane, Howard. Logic and Contemporary Rhetoric: The Use of Reason in Everyday Life
5000+ wheels built since 1984...
Disclaimer:
1. I do not claim to be an expert in bicycle mechanics despite my experience.
2. I like anyone will comment in other areas.
3. I do not own the preexisting concepts of DISH and ERD.
4. I will provide information as I always have to others that I believe will help them protect themselves from unscrupulous mechanics.
5. My all time favorite book is:
Kahane, Howard. Logic and Contemporary Rhetoric: The Use of Reason in Everyday Life
#13
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By sound is good for:
- Isolating a rogue spoke
- Partial verification of even relative tension per side of wheel
- Partial indication of overly low or high average tension - i.e., the normal pinch one expects to hear isn't present
By meter is good for:
- Actual tension reading per spoke and across spokes for an average
- Consistency in tension efforts from wheel to wheel
- Speed
- Certification of sorts - especially for high cost high ends wheel as some customers expect it.
Sure it is possible to use sound to determine actual spoke tension - but the variety in crossings, lengths, gauges, make it pretty much feasible primarily for a shop that builds a statically configured set of wheels for periods of time for which they have charted tension > pitch equivalency via testing.
But most shops and builders are building a variety of wheels with random parts and configuration variability. For those environments, a tension meter is quick and efficient.
=8-)
I think tone alone can be deceiving (seeking a specific "pitch"). Tone + calibrated fingers can get you pretty damn close. It does not take too long to get a sense for what a properly tensioned spoke of a given size should feel like, and the tone exercise can help identify deviations in tension (but is susceptible to differences in contact pressure of crossing spokes, etc).
You can build a great wheel with common sense and a calibrated touch. I have not built 3000 wheels (yet ) but I can guess tension fairly well by feel. You can too!
I personally prefer to use the meter, and I do check every spoke at the start of final tensioning, with a spot check on subsequent tensioning rounds (more spokes as it progresses) and a final check on each spoke when the wheel feels close to completion.
I'm building sporadically, so I find the meter to be a nice tool to have in the quiver, as I like to build within close tolerance to current specs.
#14
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I guess the exception would be a set of geometrically and mechanically perfect rims, hubs, and spokes, in that case a perfect truing would have perfectly equal tension.
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As I and others have said, tension can be used to match the spoke tensions within a wheel, and can be a useful and fast method for doing do.
But pitch cannot reliably be used for absolute tension. Not only are there too many combinations of free span and gauges to make a meaningful chart, but there is also a decently wide spectrum of desired tensions for various wheels. That means that there are 2 sliding variables; free length and target pitch; so establishing the database would be one hell of a chore.
Then when you were finished, it would be totally useless since only a small percentage of people have perfect pitch and can identify or reproduce a pitch without a pitch pipe or piano.
In short, the human ear does a good job spotting changes in pitch, but is not well calibrated for identifying a specific pitch.
But pitch cannot reliably be used for absolute tension. Not only are there too many combinations of free span and gauges to make a meaningful chart, but there is also a decently wide spectrum of desired tensions for various wheels. That means that there are 2 sliding variables; free length and target pitch; so establishing the database would be one hell of a chore.
Then when you were finished, it would be totally useless since only a small percentage of people have perfect pitch and can identify or reproduce a pitch without a pitch pipe or piano.
In short, the human ear does a good job spotting changes in pitch, but is not well calibrated for identifying a specific pitch.
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WARNING, I'm from New York. Thin skinned people should maintain safe distance.
FB
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Just because I'm tired of arguing, doesn't mean you're right.
“One accurate measurement is worth a thousand expert opinions” - Adm Grace Murray Hopper - USN
WARNING, I'm from New York. Thin skinned people should maintain safe distance.
#16
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Anyways, thanks for digging up the extra links for me, I have some homework to do!
(Do you have an ETA for changing your sig to 4000+ wheels built?)
#17
Banned
Those crank screwdrivers are great at counting nip turns as you go around the wheel.
Using the Meter in the shop does make the customer feel better, about their product .
with numbers as a reference..
But As a Player of stringed instruments, my own wheels, I'm fine with relative pitch.
Using the Meter in the shop does make the customer feel better, about their product .
with numbers as a reference..
But As a Player of stringed instruments, my own wheels, I'm fine with relative pitch.
Last edited by fietsbob; 11-27-12 at 10:46 PM.
#18
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As I and others have said, tension can be used to match the spoke tensions within a wheel, and can be a useful and fast method for doing do.
But pitch cannot reliably be used for absolute tension. Not only are there too many combinations of free span and gauges to make a meaningful chart, but there is also a decently wide spectrum of desired tensions for various wheels. That means that there are 2 sliding variables; free length and target pitch; so establishing the database would be one hell of a chore.
Then when you were finished, it would be totally useless since only a small percentage of people have perfect pitch and can identify or reproduce a pitch without a pitch pipe or piano.
But pitch cannot reliably be used for absolute tension. Not only are there too many combinations of free span and gauges to make a meaningful chart, but there is also a decently wide spectrum of desired tensions for various wheels. That means that there are 2 sliding variables; free length and target pitch; so establishing the database would be one hell of a chore.
Then when you were finished, it would be totally useless since only a small percentage of people have perfect pitch and can identify or reproduce a pitch without a pitch pipe or piano.
#19
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Also, my dad used to be a piano tuner, and I know that the best piano tuners do not rely on oscilloscopes (you could tune a piano with a scope even if you're deaf), nor do they rely on perfect pitch. They have one or two tuning forks, and the rest is by ear. But then of course a properly tuned piano deals with pitch by definition, not by accident.
#20
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One of My Friends, a Music teacher with Concert piano chops , got lap top software for Piano Tuning .
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I'm about the least musically inclined person you'd meet. Tone and beat are perfect in my head but not in my voice or hands. Yet I find it easy to follow the varying tone of plucked spokes. I use a tension meter on a few spokes to establish the base line and plucking to check the remainder.
Just today we were talking about using the sounds of a shop for a "song". But that's another thread... Andy
Just today we were talking about using the sounds of a shop for a "song". But that's another thread... Andy
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Not only are there too many combinations of free span and gauges to make a meaningful chart
Most people already have at least one portable computer (in the form of a phone, tablet, or laptop) with a microphone that makes it trivial to measure a spoke's resonance via a FFT.
It would be painless to run a program on it to which you feed the data you gave your spoke length calculator, its output, and nipple plus spoke types.
That means that there are 2 sliding variables; free length and target pitch; so establishing the database would be one hell of a chore.
There are reasonable default tensions that won't lead to wheels which collapse, wheels which go out of true, or stress cracks in the vast majority of rims with few currently manufactured exceptions. That default, rules for exceptions, or a user input will combine with the free length and spoke cross-section to produce a calculated target pitch. As more people use the tool and contribute there will be more entires producing optimal higher tensions.
Then when you were finished, it would be totally useless since only a small percentage of people have perfect pitch and can identify or reproduce a pitch without a pitch pipe or piano.
People who want to do things to old ways will still be able to. Although I have access to CNC equipment I still use my manually operated power tools to make sub-templates, master templates, and then the wood parts I need because using the robots would usually be too much like what I do for my day job for maximal enjoyment. More idealistic Neanderthals limit themselves to hand tools.
People who just want results will be able to poke their phone a few times and have the right magic happen apart from the wrench turning and accompanying beer drinking.
Last edited by Drew Eckhardt; 11-28-12 at 01:00 PM.
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I build my wheels by ear too.
Although I own thousands of dollars worth of signal and function generators, GPS disciplined time bases, a spectrum analyser which covers the audio band (not that common, most are RF) and a calibrated microphone, I've never bothered to instrument this task. I just listen to them. I know what a correctly tensioned spoke sounds like and I know if one is too loose or too tight.
For the OP, your estimation of a minor third is close to exact.
For a given mass per unit length pitch varies linearly with tension. This applies to spokes so 20% variation in tension will be 20% variation in pitch.
One semitone is about 6% (12throot 2 = 1.0595) so a 20% variation is a little more than 3 semitones or a minor third.
Although I own thousands of dollars worth of signal and function generators, GPS disciplined time bases, a spectrum analyser which covers the audio band (not that common, most are RF) and a calibrated microphone, I've never bothered to instrument this task. I just listen to them. I know what a correctly tensioned spoke sounds like and I know if one is too loose or too tight.
For the OP, your estimation of a minor third is close to exact.
For a given mass per unit length pitch varies linearly with tension. This applies to spokes so 20% variation in tension will be 20% variation in pitch.
One semitone is about 6% (12throot 2 = 1.0595) so a 20% variation is a little more than 3 semitones or a minor third.
Last edited by Mark Kelly; 11-28-12 at 04:35 AM.
#24
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I used a guitar tuner to verify, but I was pretty close by ear. It isn't that hard to hear it. I've only done one wheel this way about 3 years ago now and it is still true even though I ride in NYC and weigh over the limit of the original manufacturer's spec. I've been carrying a spoke wrench in my seat wedge ever since I built it and there it sits. This was a 24 spoke rear wheel too, so it fits the "low spoke count" type, and was my own personal rebuild of an Easton/Velomax hub with spokes that I bought for practically nothing on ebay. EA90 wheels are pretty expensive, even used, but my build is just as light and as far as I'm concerned, better built.
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pitch cannot reliably be used for absolute tension. Not only are there too many combinations of free span and gauges to make a meaningful chart, but there is also a decently wide spectrum of desired tensions for various wheels. That means that there are 2 sliding variables; free length and target pitch; so establishing the database would be one hell of a chore.