The triads (around 4:30) really helped me to understand the scale. And I LOVED the examples of songs that illustrate each lick. You are a fantastic teacher!
We probably should not say "sharp eleven" for this scale. Looking at the basic scale itself, It is actually a raised fourth. The raised note is not an ornament extension of the basic triad, which is when we typically say "sharp eleven". The raised note is built into the scale, fundamentally; therefore, it is a sharp/raised fourth. An important semantic, contextual distinction, i think. Although, when the scale or chord pop up in different contexts, the note may, indeed, be perceived as a raised 11th.
I found this video gem searching Lydian Dominant after watching Joe Satriani giving a lesson. I'm working out Arpeggios for top 3 strings, bottom 3 and full octave spanning the fretboard, with scale bits and full chords. Fun work. Great instruction here.
I'm a guitar player..My best lydian dominant use in a song is from the Days of Wine and 🌹 Roses.. Wes Montgomery does a great version in chord melody and improvisation....this is great to get another perspective...thnx...
And this was suggested even though I don't know much about playing piano beyond knowing the notes.But I did play some piano notes yesterday at the guitar store(I'm a guitar player).However these modes can be used in guitar too.
We are looking at it as if we stacked all the notes in the scale when we call it #11. 1357 are the chord tones and 9,11,13 are the extensions. When viewing the scale you are not stacking in thirds and are not focusing on chord tones, so it is just #4 there.