Do not suck in the air. The air will flow automatically and quickly to the low pressure area at the base of the lungs.
SAX 4.2 - Breathing Action
A good breathing action is very similar to the breathing in Yoga exercises. The only difference is that a wind instrument player has little time to breath in and usually must do it very quickly.
Practise breathing away from the instrument, first slowly to get the proper action firmly established.
Breathing in :
Do not lift your shoulders. They will raise (slightly) naturally as the air flows in.
Expand the stomach quickly. The lower chest will expand naturally near the end of the stomach action.
Breathing this way ensures that the body resonator is inflated as much as possible all the time. This is called good air support.
SAX 4.3 - Breathing Exercise
Practise the breathing action without the instrument, e.g. when walking.
Count with the steps of your left foot.
Keep the throat open during the entire breathing cycle This is most important.
To recognise what a closed throat feels like say "a" , "o" , "ku" , "gu". These all close the throat at various points in the throat and mouth ('oral tract').
Pronouncing "Hooooo" (without using the vocal cords) keeps the throat wide open. The beginning of a "du" or "tu" action is required to close the mouth with the tongue during Steps 2 and 3.
For more good discussion on breathing technique see The art of Saxophone playing (p.33 - 36) by Larry Teal.
SAX 4.4 - When to take a Breath
When taking a breath keep these points in mind.
The air in your body is not only used for 'blowing' a note, but also for keeping the body resonator expanded. This produces a better quality and more resonant note.
Breathing causes little breaks in the flow and rhythm of the music. By breathing at musical 'commas' and 'full stops' the flow of the music is not disturbed. In fact commas and full stops are accentuated this way.
SAX 4.5 - Correct Note Length
Sustain each note with a full even tone over its full time value. (unless the dynamics of the music dictates otherwise).
The full value of a crotchet (quarter note) is from the start of one beat until the start of the next.
A minim (half note) starting on beat 1 finishes at the end of beat 2, which is the start of beat 3.
A semibreve (whole note) starting on beat 1 finishes (in 4/4 time) on the end of beat 4, which is the start of beat 1 of the next bar.
Do not taper notes like carrots.
Sustain a full tone from the beginning to the end of each note.
SAX 4.6 - Tone Exercise 1 - the Whole-tone Scale
Tone Exercise 1 consists of slurred tone groups of the Whole-tone scale.
There are two Whole-tone scales. Each one consists of six notes, all spaced at intervals of a whole tone. Each note in the scale can function as the tonic of the scale.