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Is there a formula to size the sound-hole?
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Author:  unkabob [ Mon Sep 17, 2012 12:18 am ]
Post subject:  Is there a formula to size the sound-hole?

I built an over-sized baritone ukulele (22 inch scale) and the sound seems congested, almost a vibrato. The soundhole looks small on this body (65 mm dia) and the sound seems quieter than I would have expected for a mahogany sound-board. It does sound a bit bassy to me.

Is there a formula or ratio to estimate the appropriate area required for a given body volume. Could I augment the area using a soundport.

Any leads would be appreciated.

Bob :ugeek:

Author:  Trevor Gore [ Mon Sep 17, 2012 3:51 am ]
Post subject:  Re: Is there a formula to size the sound-hole?

unkabob wrote:
Is there a formula or ratio to estimate the appropriate area required for a given body volume.

Yes, there is; but you won't like it.

Author:  Colin North [ Mon Sep 17, 2012 4:13 am ]
Post subject:  Re: Is there a formula to size the sound-hole?

Trevor Gore wrote:
unkabob wrote:
Is there a formula or ratio to estimate the appropriate area required for a given body volume.

Yes, there is; but you won't like it.

LOL laughing6-hehe

Author:  WaddyThomson [ Mon Sep 17, 2012 9:11 am ]
Post subject:  Re: Is there a formula to size the sound-hole?

Gee, Trevor, does it require the use of a special character set? laughing6-hehe

Author:  SteveSmith [ Mon Sep 17, 2012 9:17 am ]
Post subject:  Re: Is there a formula to size the sound-hole?

I think it's time for a 'no kidding' sound hole design thread pizza

Author:  WudWerkr [ Mon Sep 17, 2012 9:41 am ]
Post subject:  Re: Is there a formula to size the sound-hole?

All kidding aside ! Yea Wud said that ! wow7-eyes , Ive wondered that myself . This is a good qustion that could use input from a pro !

Author:  unkabob [ Mon Sep 17, 2012 9:43 am ]
Post subject:  Re: Is there a formula to size the sound-hole?

A close approximation would be would bea start.

Trevor:
This soundboard has falcate bracing so I was hoping for sound quality equal to my falcate tenor.

Todd:
Is "oh yea" measured in millimeters or feet?

Bob :ugeek:

Author:  SteveSmith [ Mon Sep 17, 2012 9:49 am ]
Post subject:  Re: Is there a formula to size the sound-hole?

unkabob wrote:
...
Is "oh yea" measured in millimeters or feet?

Bob :ugeek:


Furlongs per fortnight laughing6-hehe

Author:  Rodger Knox [ Mon Sep 17, 2012 11:45 am ]
Post subject:  Re: Is there a formula to size the sound-hole?

I'm guessing it's in varas, furlongs per fortnight is a velocity, fer cryin out loud! laughing6-hehe

Author:  Bryan Bear [ Mon Sep 17, 2012 2:46 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

Rodger Knox wrote:
I'm guessing it's in varas, furlongs per fortnight is a velocity, fer cryin out loud! laughing6-hehe


It is a velocity and also the units of measure preferred when I am running. You could try to clock me in mph but that would require scientific notation. . .

Author:  Dave Stewart [ Mon Sep 17, 2012 2:59 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

but seriuosly folks....... [uncle]
This might at least be a good place to start
http://www.phys.unsw.edu.au/jw/Helmholtz.html
(about 2/3 down the page re guitars)

Author:  dustyjeans [ Mon Sep 17, 2012 3:21 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

heed helmholtz

Reparing a prewar Gibson bari uke, all mahog of course. Soundhole size is 2.91" (74mm). Mabey a good starting point?

Author:  Trevor Gore [ Mon Sep 17, 2012 7:24 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

The problem with all the simple formulae is that they assume a rigid vessel, which a guitar isn't. If it were rigid it would make no sound at all. So the simple formulae are not even close in terms of being approximate. Once you include the compliance of the top, back and sides you get closer, but also very complicated very quickly, and rapidly head towards a multi-degree-of-freedom model of low frequency guitar function, because the air movement (the "Helmholtz" effect) couples with the top, back and sides movement.

Chapters 1 and 2 of the Design book cover this stuff and the sorts of usable approximations you can make if you don't want to get into (too) heavy mathematics. But that's 150 pages.

So Bob, probably time to take the plunge...

Author:  unkabob [ Mon Sep 17, 2012 7:59 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

Trevor:
The simple formula puts me at the edge of my circle of cometence. The most practical approach for me involves a tapered water glass, some 80 grit sandpaper and re-tuning every hundred thou of diameter change, maybe more often.

They say that cutting edge technology is indistinguishable from magic. I will abandon science in favour of art.

Thanks for the help.

Bob :ugeek:

Author:  Trevor Gore [ Mon Sep 17, 2012 9:19 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

Trial and error has worked well on many occasions! Go for it!

Author:  Quine [ Tue Sep 18, 2012 11:01 am ]
Post subject:  Re: Is there a formula to size the sound-hole?

Trevor Gore wrote:
Trial and error has worked well on many occasions! Go for it!


Yeah...but I keep cutting and the hole is still too big

Author:  Bryan Bear [ Tue Sep 18, 2012 11:43 am ]
Post subject:  Re: Is there a formula to size the sound-hole?

Quine wrote:
Yeah...but I keep cutting and the hole is still too big


Just save that hole and install it on the next (larger) instrument. I keep a whole stack of holes next to my bag of kerfs, it takes up almos zero shop space. I'll send you a few small ones if you PM me your address.

Author:  jfmckenna [ Tue Sep 18, 2012 12:21 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

Willie Nelson came up with his own formula I think.

Author:  Alan Carruth [ Tue Sep 18, 2012 12:50 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

One of my students made a 12-string reso once that had a very small soundhole as part of the 'artistic' design. As I feared, it was choked. After a couple of experiments he decided to add a side port. He reinforced the area where he wanted the port, and started cutting away with a burr in a handshaft. He kept the thing strung, and just checked it every so often to see how it sounded. At first he got big improvements in sound for each step, but after a while it stopped getting better and got a little worse. At that point he stopped cutting, and made an insert to finish off the edge that took it back to the size that worked best. It was a bit of a pain to make, but sounded good and ended up looking as though he meant it, which is, after all, what counts. His next design featured a much larger hole...

Author:  charliewood [ Tue Sep 18, 2012 1:19 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

SteveSmith wrote:
unkabob wrote:
...
Is "oh yea" measured in millimeters or feet?

Bob :ugeek:


Furlongs per fortnight laughing6-hehe


I think its actually 20 rods to the hoghead...
cheers
Charliewood

Author:  CharlieT [ Tue Sep 18, 2012 2:35 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

jfmckenna wrote:
Willie Nelson came up with his own formula I think.


laughing6-hehe I think you're right, but it's probably not adviseable to try to duplicate it.

Author:  grumpy [ Tue Sep 18, 2012 6:39 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

Alan described a great method, and one that I've used on a mandolin's "F" holes, but would work just fine on anything. I built the mandolin with slightly smaller than normal F holes, then after having played it a few weeks or so, began to enlarge the F holes, with the instrument strung to pitch. As Alan noted, the improvements came quick and early, then tapered-off, then a period of no further changes, and finally a decline in tone quality. At that point, I simply bound the F holes and called it good!

You can easily do the same with a round soundhole, and just bind it if you go too large. Or if you have a 3 ring rosette, cut the soundhole to remove the first ring, and see where that leads to.

What I have found is that there -is- a large enough "window" where the soundhole size doesn't really take too much from the quality bank. Too small, and it'll sound choked, or like there's a bunch of sound inside the instrument that doesn't relate to what you hear out front; too large, and you lose much of the depth of the bottom end, and can kill projection. But the good news is that there's a plenty-large range that doesn't really gain or take away. For me, on most guitars, that means I can make the soundhole plenty large enough to get my hand inside... <lol> My personal favorite guitar was 4-9/16", and my next one will be at least that large.

Also, keep in mind that a larger soundhole, even if we bind it back to physically shrink its area, will also affect the soundboard's stiffness, and this was especially pronounced with the mandolin's F holes(and quite likely was a leading factor when the tone went backwards, as it never completely recovered even after binding), but even on guitars, I'll brace just a wee bit differently when sizing soundholes at their extremes.

Author:  unkabob [ Tue Sep 18, 2012 7:41 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

Thanks for the help.
I sanded the sound hole from 2.583" dia. to 3.021" dia. in six steps. The most tedious part of the job was tuning the strings after each step. I did not approach the rosette (no rosette) but when I started sanding the end of the fretboard, I had to add a trace of oval to the sound-hole.

The change in tone followed Al's description except I stopped when it sounded "pretty good". The instrument looks more normal now and there is improved treble notes. The four strings sound more separated now.

I will post a picture if I can figure out how.

Bob

Author:  jfmckenna [ Wed Sep 19, 2012 1:49 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

Trevor Gore wrote:
Trial and error has worked well on many occasions! Go for it!


I wonder how Mario Maccaferri did it?

Author:  unkabob [ Thu Sep 20, 2012 11:03 pm ]
Post subject:  Re: Is there a formula to size the sound-hole?

I seriously considered a Maccaferri style bridge on this instrument.

Bob :ugeek:

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