Intonation
There are four ways to improve saxophone intonation or ‘pitch accuracy’ as it is defined.
Neck:
If the instrument is quality made with a matching neck originally from the manufacturer, the horn is ready to be played in tune. Often times the body of the instrument and the neck are swapped for aesthetic reasons thus ruining the original tuning of the instrument. The length of the neck and proper fitting of the neck onto the saxophone help determine pitch accuracy.
Mouthpiece:
There are a variety of mouthpieces out there; thousands probably. Some are meant to play loud, soft, jazz, rock and roll, classical, —you name it. There are mouthpieces for every personality or style you can think of.
Basically what makes each mouthpiece different is the tip opening. The tip opening is the distance from the mouthpiece to the reed usually measured by a general number. The lower the number the smaller the opening, the higher the number the larger the opening. The bigger the tip opening the more air it takes to make a sound. The smaller the tip opening the less air it takes to make a sound.
Reed:
There are a variety of reeds out there; thousands probably. Some are meant to play loud, soft, jazz, rock and roll, classical, —you name it. There are reeds for every personality or style you can think of.
Basically what makes each reed different is its thickness. The lower the number the smaller the thickness, the higher the number the larger the thickness. The thicker the reed the more air it takes to make a sound. The smaller the reed the less air it takes to make a sound. Finding a good reed/mouthpiece combination is like a good marriage.
Embouchure:
Your mouth/lip position on the mouthpiece and reed must be firm yet not too tight to let the air through.