Scale Formulas Every Guitarist Should Know

📘 For Beginners: What Are Scale Formulas?

Scale formulas tell you which notes make up a scale. They’re written as numbers — like “1, 2, 3, 4, 5, 6, 7” — where each number stands for a note's distance from the root. If you've ever wondered what makes a major scale sound happy or a blues scale sound gritty, the answer is in the formula. Learning these numbers helps you build scales anywhere on the guitar neck and understand why they sound the way they do.


📗 For Intermediate Players: How to Use Scale Degrees Musically

As an intermediate player, you can use scale formulas to go beyond shapes. The numbers tell you where the juicy notes live — b3 for that minor sadness, #4 for Lydian space, b7 for blues tension. Knowing the degrees helps you solo with intention, target chord tones, and instantly transpose scales to any key. These formulas also show how scales connect, like how Aeolian and Dorian differ by just one note (the 6th). This is real-deal fretboard fluency.

This chart is a theory cheat code. Whether you’re trying to figure out a solo, build a new scale, or decode a weird lick, scale formulas are how you understand what’s going on under the hood. Here's how to read them, and how to use them.


🎼 POPULAR SCALES

Scale Formula Mood
Major 1 2 3 4 5 6 7 Bright, stable, foundational
Natural Minor 1 2 b3 4 5 b6 b7 Sad, emotional
Harmonic Minor 1 2 b3 4 5 b6 7 Exotic, classical, dramatic
Melodic Minor 1 2 b3 4 5 6 7 Smooth, jazzy, ascending-only
Major Pentatonic 1 2 3 5 6 Upbeat, open, sweet
Minor Pentatonic 1 b3 4 5 b7 Gritty, classic rock/blues
Blues 1 b3 4 b5 5 b7 Dirty, expressive, tense

This chart is a theory cheat code. Whether you’re trying to figure out a solo, build a new scale, or decode a weird lick, scale formulas are how you understand what’s going on under the hood. Here's how to read them, and how to use them.

 

🎛 MODES (Derived from the Major Scale)

Mode Formula Unique Tone
Ionian 1 2 3 4 5 6 7 Standard major
Dorian 1 2 b3 4 5 6 b7 Minor + jazzy vibe
Phrygian 1 b2 b3 4 5 b6 b7 Minor + exotic tension
Lydian 1 2 3 #4 5 6 7 Major + floaty, dreamy
Mixolydian 1 2 3 4 5 6 b7 Major + bluesy/funky edge
Aeolian 1 2 b3 4 5 b6 b7 Standard natural minor
Locrian 1 b2 b3 4 b5 b6 b7 Dissonant, rarely used

This chart is a theory cheat code. Whether you’re trying to figure out a solo, build a new scale, or decode a weird lick, scale formulas are how you understand what’s going on under the hood. Here's how to read them, and how to use them.

🔥 EXOTIC SCALES (Outside the Major Scale System)

Scale Name Formula Vibe / Use
Whole Tone 1 2 3 #4 #5 #6 Dreamy, ambiguous, modern jazz
Diminished 1 2 b3 4 b5 b6 6 7 Creepy, symmetrical, tension
Altered 1 b2 b3 b4 b5 b6 b7 Jazz, fusion, over 7alt chords
Locrian ♮9 1 2 b3 4 b5 b6 b7 Dark but slightly “opened”
Lydian ♭7 1 2 3 #4 5 6 b7 Fusion, like Lydian + Mixolyd.
Mixolydian ♭9♭13 1 b2 3 4 5 b6 b7 Flamenco, Phrygian Dominant