Music Fundamentals: Scales, Melodies, and Harmony

Scales & Intervals

Scales: Ordered pitches providing melodic/harmonic material.
- Chromatic Scale: 12 pitches, including all white and black keys; symmetrical (all half steps).
- Diatonic Scale: 7 pitches, originally used in Western music; non-symmetrical (specific whole and half step pattern).
- Pentatonic Scale: 5 pitches (e.g., five black keys on a piano).
- Major Scale Pattern: Whole, Whole, Half, Whole, Whole, Whole, Half.
- Minor Scale Pattern: Whole, Half, Whole, Whole, Half, Whole, Whole.
Intervals: The distance between any two pitches.
- Octave: An interval spanning 8 notes; involves doubling or halving frequency.

Frequency: The rate of sound vibration, measured in cycles per second (Hz).
- Cycle: One complete wave (e.g., from one crest to the next).
Pitch: The highness or lowness of a sound, directly related to frequency.
- Higher frequency means higher pitch; lower frequency means lower pitch.
- A440: Pitch at 440 cycles per second, commonly used for tuning orchestras.
- Rule of Thumb: Long vibrating elements produce low pitches; short vibrating elements produce high pitches.
Noise: Unfocused, irregular sounds without a definite pitch.

Staff: Five lines and four spaces acting as a musical grid.
Clef: Symbol at the beginning of the staff indicating pitch range.
- Treble Clef (G Clef): For higher pitches; its curve circles the G line.
- Bass Clef (F Clef): For lower pitches; its two dots surround the F line.
Ledger Lines: Short lines added above or below the staff to extend the range for individual notes.
Middle C: A central note located on a ledger line between the treble and bass clefs.
Accidentals: Symbols modifying a note's pitch.
- Flat (\flat): Lowers a note by a semitone.
- Sharp (\sharp): Raises a note by a semitone.
- Natural (\natural): Cancels a previous sharp or flat, restoring the note to its original pitch.
Semitone (Half Step): The smallest interval in Western music; the distance between any two adjacent notes on the chromatic scale (e.g., C to C^\sharp).
Whole Step (Whole Tone): An interval equal to two semitones (e.g., C to D).

Tonality: The organization of music around a central tone (tonic) and its associated scale and chords.
- Tonic: The central, most stable pitch; often the starting and ending point of a piece.
- Tonic Chord: The chord built on the tonic.
Modality: Different ways of orienting the diatonic scale for emotional color.
- Major Mode: Often perceived as cheerful or optimistic, built on specific whole/half step pattern.
- Minor Mode: Often perceived as sad, subdued, or sinister, built on specific whole/half step pattern.
Keys: The specific set of pitches (major or minor scale) based on a particular tonic note. There are 12 major and 12 minor keys, totaling 24 keys.
Transposition: Shifting a piece or scale to a different pitch level/key.
Key Signature: Sharps or flats placed at the beginning of the staff, indicating the key and applying to all relevant notes unless canceled by an accidental.
Modulation: Changing from one key to another within a musical piece.
Changing Mode: Changing between major and minor (e.g., C major to C minor).

Score: The full written notation for a musical piece, showing all parts for multiple performers, used by conductors.
- Components: Tempo markings (speed), instrument listings, clefs, key signatures, time signatures, dynamic markings (loudness).
- System: A vertical alignment of staves showing music happening simultaneously.
- Measures: Segments of music defined by bar lines.
- Fermata: A symbol indicating a note or rest should be held longer at the performer's or conductor's discretion.

Melody: A series of notes arranged in order to form a distinctive, recognizable musical unit, unfolding through pitch (vertical) and time (horizontal).
Tune: A simple, easily singable, coherent, and complete melody.
Phrase: A section of a melody, analogous to a sentence.
- Antecedent Phrase: The first, often incomplete-sounding phrase (like a question).
- Consequent Phrase: The second, complete-sounding phrase (like an answer).
Cadence: Stopping or pausing places in music, like punctuation.
- Half Cadence: A pausing point that feels incomplete (like a comma).
- Full Cadence: A stopping point that feels complete and resolved (like a period).
Climax: The high point or peak of a melody or musical section.

Harmony: Pitches sounding simultaneously, providing support and accompaniment for the melody.
Chords: Two or more pitches sounding at the same time.
- Tertian Harmony: Chords built using intervals of a third.
- Triad: A basic three-note chord (e.g., C-E-G), formed by stacking notes that skip a letter in the scale.
- Roman Numerals: Used to label and analyze chords within a key (e.g., I, IV, V).
- Primary Chords: The most fundamental chords in a key: I (Tonic), IV (Subdominant), V (Dominant).
Chord Progression: A series of chords that follow each other in a logical and musically purposeful sequence.
Arpeggio: The notes of a chord played one after another rather than simultaneously.
Consonance: Intervals or chords that sound stable, pleasant, and free of tension.
Dissonance: Intervals or chords that sound unstable, tense, and sometimes harsh.
Resolution: The movement from a dissonant sound to a consonant sound, creating a sense of release or completion.