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
| 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.