Scale Degrees: Seventh vs Fifth — Clarifying the Confusion

Context from Transcript

  • Student question indicates confusion: “How can it be the seventh degree if it's already the fifth scale? I don't think it is.”
  • This touches two common concepts in music theory:
    • The idea of scale degrees (positions 1–7 in a diatonic scale).
    • The use of the word “seventh” in chord naming (e.g., dominant seventh) which can refer to intervals above a chord root, not the scale’s seventh degree itself.

Core concepts: scale degrees

  • In a diatonic major scale, the notes are numbered from the tonic as follows: 1, 2, 3, 4, 5, 6, 7. The 8th note is the octave of the 1st.
  • In C major as an example:
    • 1st degree: C
    • 2nd degree: D
    • 3rd degree: E
    • 4th degree: F
    • 5th degree: G (the dominant, often called the “fifth scale degree”)
    • 6th degree: A
    • 7th degree: B (the leading tone in major)
    • 8th note (octave): C
  • The “seventh degree” is the note of the scale at position 7 (e.g., B in C major), not the 7th chord or anything else.

Seventh degree in different scales

  • In major scales: the 7th degree tends to function as a leading tone to the tonic, i.e., it resolves up to the 1st degree.
    • Example (C major): B tends to resolve to C.
  • In natural minor scales: the 7th degree is the subtonic (flattened 7th) and does not function as a leading tone to the tonic.
    • Example (A minor natural): 7th degree is G; the scale is A B C D E F G A.
  • In harmonic minor scales: the 7th degree is raised to create a stronger leading tone to the tonic.
    • Example (A harmonic minor): A B C D E F G# A; the 7th degree is G#, acting as a leading tone to A.

Seventh in chords: the dominant seventh (V7)

  • The term “seventh” can also appear in chord naming, not as a scale degree.
  • A V7 chord is built on the 5th scale degree and includes a seventh interval above the root, forming a four-note chord.
    • In C major, V7 = G7, which consists of the notes: G \, B \, D \, F
    • Root: G (the 5th degree of the scale)
    • 3rd: B
    • 5th: D
    • 7th (above the root): F
  • The “7” in V7 refers to the interval above the chord root (a minor seventh above G, which is 10 semitones), not the scale’s 7th degree.
    • Interval from root to the 7th in V7: m_7 = 10 ext{ semitones}
  • Distinction recap:
    • Scale-degree 7: the note that is the seventh step in the scale (e.g., B in C major).
    • Chord 7 (as in V7): the interval of a seventh above the chord root (e.g., F above G in G7).

Numerical references and intervals (LaTeX)

  • Major scale degrees: 1, 2, 3, 4, 5, 6, 7
  • Example in C major (notes): 1=C, 2=D, 3=E, 4=F, 5=G, 6=A, 7=B
  • Intervals from tonic:
    • Perfect fifth: P5 = 7 ext{ semitones}
    • Major seventh: M7 = 11 ext{ semitones}
    • Minor seventh (in a dominant seventh chord): m7 = 10 ext{ semitones}
  • Example chords:
    • V7 in C major: G7 = ext{notes } igl
      rbracket G, B, D, F igr
      rbracket where the interval from root G to the seventh note F is a m_7 above the root.

Practical implications for exams

  • Remember the labeling rules:
    • Scale degree refers to the position in the scale (1–7).
    • The seventh degree is the note at position 7 (e.g., B in C major).
    • The “7” in a chord name like V7 refers to the interval above the chord root, not the scale’s seventh degree.
  • Common mnemonic: do (1), re (2), mi (3), fa (4), so (5), la (6), ti (7) for major/minor solfege; the 7th degree often acts as a leading tone to do in major contexts.
  • In harmony:
    • V7 tends to resolve to I due to the tension created by the leading-tone (and the presence of the 7th above the root).

Connections to broader concepts

  • This topic ties into:
    • Diatonic scales and functional harmony (tonic, dominant, subdominant).
    • The difference between scale degrees and chordal intervals.
    • How scale context (major vs natural minor vs harmonic minor) changes the role of the 7th degree.

Quick recap

  • The seventh degree is the scale's 7th step note (e.g., B in C major).
  • The fifth degree is the scale's 5th step note (e.g., G in C major).
  • The dominant seventh chord (V7) is built on the 5th scale degree and includes a seventh above the root (e.g., G7 includes F above G).
  • In major scales, the 7th degree tends to be a leading tone; in natural minor, the 7th degree becomes subtonic unless altered (harmonic minor raises it to create a leading tone).
  • Distinguish between numerical scale degrees and chordal intervals when interpreting notations like “seventh.”