Continuing the sequence of chords I used in church playing the song "We belong to the day" (the chords but not the song are demo'ed in the video below), here's the third chord in the progression C#m A E B, where after the first chord C#m9 x4x440 and the second chord A5add9add#11 x0x440 I play
Emaj7no3rd: 022440
Which is a new bass note E 0xxxxx with an accompanying E5 power chord x22xxx followed by the same top three notes from the original C#minor chord carried over xxx440, played as before as an arpeggio on strings 1, 2 then 3. The top string E xxxxx0 is the root of the E chord, the second string D# xxxx4x is the major seventh, and the third string B xxx4xx is the fifth.The chord is missing the third G# of E, so I find it an ear-tweaking combination of lushness with all six strings played including the major 7th next to a top-voiced root a semi-tone away, and austerity with the open voicing missing out the sweet-sounding third.You can hear the chord at 0:06 in this video -
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