Which of these statements is incorrect?

Question

BlackTom AI · Accepted Answer

A minor third above C is E-flat (E♭), not D-sharp (D♯).

1) Relevant knowledge points and concepts
- Interval number vs. interval quality: the numeric size of an interval (a third, fifth, etc.) is determined by letter names; quality (major/minor) is determined by whether the interval is a whole-step/half-step smaller or larger than the major/perfect form.
- A third above C must be some form of E (C → D → E = a third). A minor third is one semitone smaller than a major third (E natural lowered to E♭).
- Enharmonic equivalence: D♯ and E♭ are the same pitch in equal temperament but different spellings and intervallic identities.

2) Step-by-step reasoning
- Determine the interval number: from C up to E is a third (C, D, E).
- Determine the quality: a major third above C is C → E natural (4 semitones). A minor third is one semitone less, so C → E♭ (3 semitones).
- Therefore the correct spelled minor third above C is E♭.

3) Intermediate calculation (semitone counting)
- C to C♯ = 1 semitone
- C♯ to D = 2 semitones
- D to E♭ = 3 semitones
So the pitch 3 semitones above C may be written as D♯ (pitch), but the interval spelled as a third must be some form of E, hence E♭.

4) Why the correct answer is correct
- Interval naming uses letter names; since a third above C must be some E, the minor-third form is E♭. Although D♯ sounds the same in equal temperament, it is not the correct spelled name for “a minor third above C.”

5) Why other options are incorrect
- No other options are provided here, but specifically the statement that “the correct name ... is D sharp” is incorrect because it uses the wrong letter name. D♯ is enharmonically equivalent but not the proper interval spelling.

6) Conclusion
Thus the statement given ("The correct name for the note a minor third above C is D sharp.") is incorrect; the correct spelled note is E♭. This confirms the provided answer.

Which of these statements is incorrect?Single choice

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