E Diminished (HW)

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E Diminished (HW) Scale

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Step pattern H – W – H – W – H – W – H – W

E Diminished (HW) contains 8 notes: E, F, G, G♯, A♯, B, C♯, D. It has 3 sharps: G♯, A♯, C♯. The step pattern is H–W–H–W–H–W–H–W.

The half-whole diminished scale alternates half and whole steps across 8 notes. It is essential for jazz improvisation, providing all altered tensions over dominant 7th b9 chords.

Theory

The formula is 1, b2, #2, 3, #4, 5, 6, b7. The octave divides into 4 minor-3rd groups, each containing a half step then a whole step. Due to symmetry, only 3 distinct diminished scales exist. It works over dominant 7th b9 chords (providing b9, #9, #11, 13) and over diminished 7th chords where each note can serve as root.

On the guitar

Any diminished lick or scale shape can be moved up or down 3 frets (a minor 3rd) and perfectly outline the same harmony. This makes it extremely efficient for generating vocabulary — learn one position and you effectively know four.

Piano

Staff

Related scales

E Whole tone E Harmonic minor

Arpeggios

E Major Arpeggio

Also known as

E Octatonic HWE Half-whole diminishedE Messiaen mode 2E Korsakovian

Common in

JazzBebopFusionClassical

Examples

Have You Met Miss Jones - Richard Rodgers
Raiders of the Lost Ark theme - John Williams