Music Scale Calculator

The Music Scale Calculator serves a dual role as a Scale Notes Finder and a Semitone Pattern Calculator. With this tool, you can instantly retrieve the notes of any scale—from familiar major and minor scales to rare ones like the Spanish eight‑tone scale—along with its unique semitone pattern and numeric formula. The semitone pattern shows the exact interval distances between successive degrees, while the numeric formula indicates which notes of the major scale should be raised or lowered to obtain the desired scale. This makes the Music Scale Calculator an essential resource for musicians, composers, and music theory students.

How to Use the Calculator

Using the calculator is straightforward. Start by selecting the root note (the tonic) of the scale. If you only need the semitone pattern or numeric formula, you can skip the root note selection. Next, pick a category that matches the scale (Common, Modes, Ethnic, Jazz, Other). Then, choose the specific scale from the list. The results area displays the scale notes, semitone pattern, and numeric formula simultaneously, but you can use the Display field to focus on just one type of output. For instance, selecting C as the root, choosing the Common category, and picking Major will immediately show you the C major scale notes (C, D, E, F, G, A, B, C), its semitone pattern (2,2,1,2,2,2,1), and its numeric formula (1,2,3,4,5,6,7,8).

Semitone Pattern of the Major Scale

The major scale follows a fixed interval pattern: 2, 2, 1, 2, 2, 2, 1 (in semitones). A "2" represents two semitones (a whole tone), and a "1" represents a half tone. To illustrate, let's build the A major scale:

• Start with A.
• Two semitones above A gives B.
• Two semitones from B yields C♯ (because B→C is a half step, raising C by a half step gives C♯).
• One semitone up from C♯ is D.
• Two semitones from D gives E.
• Two semitones from E yields F♯.
• Two semitones from F♯ gives G♯.
• One semitone returns to the octave A.

Thus, the major scale notes for A major are: A, B, C♯, D, E, F♯, G♯, A. This pattern is the same for any starting note, making the Musical Scale Semitone Pattern predictable and universal across all major scales.

Building Scales with the Numeric Formula

The numeric formula offers an alternative way to construct scales. Each number corresponds to a scale degree (1 = tonic, 2 = second, etc.). A ♭ or ♯ before a number means the corresponding note of the major scale must be lowered or raised by one semitone (two semitones if doubled).

For example, the natural minor scale has the formula: 1, 2, ♭3, 4, 5, ♭6, ♭7, 8. Applying this to C major (C, D, E, F, G, A, B, C) yields C minor: the third (E) becomes E♭, the sixth (A) becomes A♭, and the seventh (B) becomes B♭, while all other notes stay the same. Result: C, D, E♭, F, G, A♭, B♭, C. This method works for any scale whose formula is known, making the tool a powerful Minor Scale Calculator as well. You can use the same approach for scales with sharp symbols in their formula by raising the corresponding degrees.

Complete Scale Library

The calculator contains over 60 scales, organized into categories such as Common, Modes, Ethnic, Jazz, and Other. The table below lists each scale along with its category. You can use this reference to find exactly the scale you need.

Scale Name	Category
Acoustic	Ethnic
Aeolian	Modes
Algerian	Ethnic
Altered (Dominant)	Jazz
Arabic	Ethnic
Ascending Melodic Minor / Jazz Minor	Jazz, Modes of Melodic Minor
Augmented	Other
Balinese / Pelog	Ethnic
Bebop Dominant	Jazz
Bebop Dorian / Minor	Jazz
Bebop Harmonic Minor	Jazz
Bebop Major	Jazz
Bebop Melodic Minor	Jazz
Blues	Common
Blues Major	Jazz
Blues Minor	Jazz
Chinese	Ethnic
Chromatic	Other
Dorian	Modes
Double Harmonic Major / Byzantine / Arabic	Ethnic
Egyptian	Ethnic
Enigmatic	Other
Half-Whole / Dominant Diminished	Jazz
Harmonic Major	Other
Harmonic Minor	Common
Hawaiian	Ethnic
Hirajōshi	Ethnic, Japanese
Hungarian Minor / Double Harmonic Minor / Gypsy Minor	Ethnic
Iminished / Whole-Half	Jazz
In / Sakura Pentatonic	Ethnic, Japanese
Insen	Ethnic, Japanese
Ionian	Modes
Iwato	Ethnic, Japanese
Locrian	Modes
Locrian ♮2 / Half-Diminished / Aeolocrian	Jazz, Modes of Melodic Minor
Lydian	Modes
Lydian Augmented / Lydian ♯5	Jazz, Modes of Melodic Minor
Lydian Dominant / Lydian ♭7 / Acoustic / Mixolydian ♯4 / Overtone / Lydomyxian	Jazz, Modes of Melodic Minor
Major	Common
Major Pentatonic / Chinese Mongolian	Ethnic
Melodic Minor	Common
Minor Pentatonic	Common
Mixolydian	Modes
Mixolydian ♭6 / Melodic Major / Hindu / Myxaeolian	Jazz, Modes of Melodic Minor
Natural Minor	Common
Neapolitan Major	Ethnic
Neapolitan Minor	Ethnic
Oriental	Ethnic
Persian	Ethnic
Phrygian	Modes
Phrygian ♮6 / Dorian ♭2 / Assyrian / Phrygidorian	Jazz, Modes of Melodic Minor
Phrygian Dominant	Ethnic
Prometheus	Other
Romanian Major	Ethnic
Spanish Eight Tone	Ethnic
Super Locrian / Altered (Dominant)	Jazz, Modes of Melodic Minor
Tritone	Other
Two-Semitone Tritone	Other
Ukrainian Dorian / Romanian Minor	Ethnic
Whole Tone	Other
Yo	Ethnic, Japanese

This comprehensive collection, combined with the calculator’s ability to show notes, intervals, and formulas, makes the Music Scale Calculator an indispensable tool for exploring and applying scales in any musical context.