The Major 7 sharp 11
In addition to the Minor 11ths, there is one other 11th arpeggio which is built on a symmetrical interval pattern. In the case of the Major7th sharp 11, the pattern is inverted so that it begins and ends with a Major 3rd and has a minor 7th (VI) at its center.
The interval structure of the Major 7 sharp 11th is:
Root <major 3rd> 3rd <minor 3rd> 5th <major 3rd> 7th <minor 3rd> 9th <major 3rd> 11th
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.. which is the only other symmetrical 11th arpeggio aside from the twin minor 11ths. There is only one Major 7 sharp 11 and it 'straddles' the tritone, being rooted in the IV of a key and ending on the VII.
Below you see the arpeggio rooted in F in the key of C major ...
Next let's see the Major 7 sharp 11 as it fits into the symmetry of the Minor 11ths ...