E♭ Diminished Scale (Half-Whole)

Notes in the E♭ Diminished Scale (Half-Whole)

Degree Name Note Frequency (A=440)
1 Tonic E♭ 311.127 Hz
♭2 Altered 2nd E 329.628 Hz
♭3 Minor Mediant G♭ 369.994 Hz
3 Major Mediant G 391.995 Hz
♯4 Tritone A 440.000 Hz
5 Dominant B♭ 466.164 Hz
6 Major Submediant C 261.626 Hz
♭7 Subtonic D♭ 277.183 Hz

Interval Pattern

Formula: H-W-H-W-H-W-H-W
Step Interval Semitones From Note To Note
1 Half Step (H) 1 E♭ E
2 Whole Step (W) 2 E G♭
3 Half Step (H) 1 G♭ G
4 Whole Step (W) 2 G A
5 Half Step (H) 1 A B♭
6 Whole Step (W) 2 B♭ C
7 Half Step (H) 1 C D♭
8 Whole Step (W) 2 D♭ E♭

Chords Built on Scale Degrees

Degree Note Chord Quality
1 E♭ E♭ diminished diminished
♭2 E E diminished diminished
♭3 G♭ G♭ diminished diminished
3 G G diminished diminished
♯4 A A diminished diminished
5 B♭ B♭ diminished diminished
6 C C diminished diminished
♭7 D♭ D♭ diminished diminished

Key Signature

3 — The E♭ key signature uses B♭, E♭, A♭.

E♭ Diminished Scale (Half-Whole) in Practice

The E♭ Diminished Scale (Half-Whole) uses the key signature of 3 flats (B♭, E♭, A♭). Eb major has three flats and a rich, full sound well suited to brass instruments. It is widely used in jazz, classical music, and is the home key for Eb instruments. On guitar, E♭ positions offer comfortable transposing instrument keys for this scale.

The half-whole diminished scale alternates half and whole steps, creating an 8-note symmetrical scale ideal for dominant chord improvisation and tension-building in jazz. When played starting on E♭, the 8 notes are E♭, E, G♭, G, A, B♭, C, D♭. In this key the signature has 3 flats (B♭, E♭, A♭). Eb is the concert key for alto saxophone and baritone saxophone playing in their native C, and it is a staple of big band and jazz ensemble writing. Eb is heavily used in R&B, soul, and gospel music, where horn sections in Bb and Eb instruments can play without difficult transpositions.

Tuning Frequencies Across Temperaments

Frequencies shown at A=440 Hz. View full temperament data for any note.

Note Equal Temp. Pythagorean Just Intonation
E♭ 311.127 Hz 309.026 Hz 313.951 Hz
E 329.628 Hz 330.001 Hz 327.032 Hz
G♭ 369.994 Hz 371.251 Hz 367.911 Hz
G 391.995 Hz 391.111 Hz 392.438 Hz
A 440.000 Hz 440.000 Hz 436.043 Hz
B♭ 466.164 Hz 463.538 Hz 470.926 Hz
C 261.626 Hz 260.740 Hz 261.626 Hz
D♭ 277.183 Hz 278.437 Hz 279.067 Hz

Related Scales

Transposing Instruments: E♭ Diminished Scale (Half-Whole)

E♭ is a natural key for B♭ instruments (trumpet, clarinet, tenor sax), which sound a major second lower than written. B♭ instruments reading in C produce E♭ concert pitch. E♭ instruments (alto sax, baritone sax) reading in E♭ sound a major sixth lower.