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What do saxophone ligatures do?
- if a mouthpiece table is flat
- the reed is fine
- the ligature is working properly and fits the mouthpiece
A ligature clamps the reed to the mouthpiece. Think of this a bit like when you hold a ruler on the edge of a table and flick the bit sticking over so it goes “boing”. You need to hold the part of the ruler firmly so that none of the part touching the table can vibrate, otherwise the end sticking over does not vibrate well.
The same principle applies to the way a reed vibrates on a mouthpiece. Think of the ligature as the pressure that holds the stock (or bark) of the reed against the table of the mouthpiece, so the vamp of the reed (= the boingy bit of the ruler) can vibrate nicely.
Saxophone ligatures have developed a long way since the days when clarinetists would just wind a piece of cord or leather thong around the reed to secure it to the mouthpiece (but some people still swear by this method). But the function is the same. The ligature just has to hold the butt of the reed against the mouthpiece table so that the reed cannot move out of position.
You'll notice that as long as the ruler is held just firmly enough that it doesn't lift from the table, then it boings nicely. However much more pressure you exert the boing does not change.
Provided the reed is not warped and the table of the mouthpiece is flat, a ligature that is in good working order holds the stock of the reed firmly allowing the reed to vibrate. Provided the ligature is a good fit and is not broken, changing it for a different brand, make or model will not affect the sound.
When might it make a difference?
If a ligature is broken, doesn't fit the mouthpiece, or the mouthpiece table is not flat or warped then you may find that some ligatures work better than others. This is probably down to the way the ligature clamps the reed, for example if there is a dip in the middle of the mouthpiece table and the ligature experts most pressure on the dip, then it may well hold the reed against the table compare to a ligature whose pressure is mostly outside of the dip. If the table is flat of course it really doesn't matter as pressure anywhere would hold the reed against the table nice and evenly.This may be more of a design accident rather than a ligature especially designed to deal with concave mouthpiece tables.
If a reed is swollen, there may be a difference
Sometimes a reed may be swollen so that the otherwise flat area is convex. In this case a ligature that applies pressure on the outsides might just bend the reed slightly to compensate:This could be what leads people to think a ligature makes a difference. A ligature that was applying more pressure to the centre would not help this situation unless it was so tight that it compressed the reed, which in itself may not be a good thing:
Hence they think the first ligature was "better."
So it's important to make sure the table of the reed is flat.
What if the mouthpiece table is not flat?
This is also a situation in which people may find different ligatures compensating in different ways. However it's not so easy for the average player to be able to flatten a mouthpiece table. Again this may lead people to think one ligature is "better" than another. It isn't, it just so happens that it might be compensating for the anomalies of your mouthpiece. More in the video above.
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