Chord names don’t go any higher than a 13th. If you add another 3rd interval above the 13th degree, it takes you back to the root note of the chord. You can create many more variations on 13th chords and other extended chords by using various combinations of alterations to the 5ths and 9ths of the chords.
Now you know how to create all the various chord types, it is recommended that you make a habit of experimenting with alterations every time you practice. When and where they work best depends on the musical context.
Two of most common altered thirteenth chords are the 13# 9 and the 13b 9 . These are the following two chords to be demonstrated.
The following diagrams show a 13#9 chord shape which has two names. The first two diagrams show how it works as an F13#9 and the third and fourth diagrams demonstrate the same shape as a B13#9.
Practice moving it around the key cycle (up and down the fretboard) visualizing the root note on the 1st string, and then on the 5th string. Soon you will be able to quickly find it in any key without having to move more than a couple of frets. This should be your eventual aim with all chord types
Experiment with various fret positions when playing this progression. There are several different ways it can be played. Experiment with the formula to find other voicings as well.
Here are some common voicings for 13b9 chords. None of these voicings contains the root note, but it can be added to each of them if you wish. Experiment with the formula to come up with your own voicings.
Remember that any chord can be played as an arpeggio, thus opening up other fingering possibilities. You can move around between the notes of a chord in any order or using any rhythm that sounds good in whatever musical context you are playing in.
Some of the greatest recorded guitar parts are based on a simple repeating rhythm pattern applied to one or two chords. The following example demonstrates this concept applied to an E13b9 chord.