Musical Scales
Understanding the architecture of music requires being able to see the relationships between frequencies and distances.
This post details the fundamental components that structure our musical system, from the smallest unit to the construction of the major scale.
For an immediate visual and technical reference of these structures, The Scales app which we developed in collaboration with Mayan Solutions. It is an essential tool that allows you to visualize and calculate these relationships in real time.
The Musical Note and the Chromatic System
The note It is a sound with a constant fundamental frequency (vibration).
In Western music, the system is based on the division of the eighth (the distance between the initial frequency and twice its speed) in 12 semitones (minimum steps between notes).
12 Semi-Tones or Chromatic Scale:
Do | C♯ | Re | Re♯ | My | Fa | F♯ | Sun | G♯ | The | A♯ | Yeah | (Do)
or:
Do | Re♭ | Re | My♭ | My | Fa | G♭ | Sun | The♭ | The | Yes♭ | Yeah | (Do)
• Natural Notes: 7 basic sounds (Do, Re, Mi, Fa, Sol, La, Si).
• American Cipher: International technical standard for naming notes:
• A (The), B (Yeah), C (Do), D (Re), AND (My), F (Fa), G (Sun).
• Alterations: They modify the pitch of a natural note:
• Sharp (#): Raise the note by a semitone.
• Flat (b): The note drops by a semitone.
The Concept of Scale
A scale It is an ordered succession of notes within an octave that establishes a tonal framework.. It serves as the inventory of notes upon which a harmonic musical foundation is built.
• Tonic: It is the first note or the first degree of the scale, it acts as the center of resolution and defines the tonality.
• Interval: It is the measure of the distance between two notes. The units are the Tone (T) and Semitone (S)
( 1 Tone = 2 Semitones ).
The Major Scale: Structure and Formula
The Larger Scale It is a heptatonic (seven-note) scale defined by a specific sequence of intervals. This structure creates a sense of stability and sonic brightness.
The Structural Formula
Any major scale, regardless of its starting note, must adhere to the following distance pattern:
T - T - S - T - T - T - S
Example in C Major:
• C —(T)— D —(T)— AND —(S)— F —(T)— G —(T)— A —(T)— B —(S)—• C
Degrees and Functions
Each note within the scale is called degree and is identified with Roman numerals. Each degree fulfills a specific harmonic function within the structure:
| Degree | Technical name | Principal harmonic function |
|---|---|---|
| I | Tonic | Tonal center, rest, stability |
| II | Supertonic | Preparation, movement towards the dominant |
| III | Through | Define the greater or lesser shade of the color |
| IV | Subdominant | Expansion, harmonic opening |
| V | Dominant | Main tension, impulse of resolution towards the tonic |
| VI | Submediant | Relative function of the tonic, complementary emotional color |
| VII | Sensitive tone (or subtonic in modes) | It generates strong tension that leads to the tonic |
Theoretical Synthesis
The Larger Scale It constitutes the fundamental matrix of the diatonic system. Its importance lies in the interval consistency of its structure (TT-S-TTT-S), which acts as the metric standard for defining all other scales, intervals, and chord formation.
Understanding this hierarchy—from the unit of the note to the function of the degree—is what allows the musician and the developer to decode the logic behind any musical composition or analysis tool.
