Compound intervals span more than an octave and are named by their simple interval equivalent (a 9th is a compound 2nd, a 10th is a compound 3rd). Despite their larger span, compound intervals retain the consonant or dissonant character of their simple equivalents. Recognizing compound intervals by ear extends interval recognition beyond the octave.
You've already learned to recognize all the basic intervals — from the unison to the octave — by ear. You know that a perfect fifth sounds open and stable, a minor second sounds sharp and dissonant, a major third sounds bright and consonant. Now the question is: what happens when those intervals are stretched beyond an octave? A compound interval is simply a simple interval with one or more octaves added. A ninth is a second plus an octave; a tenth is a third plus an octave; an eleventh is a fourth plus an octave, and so on.
The crucial insight for ear training is that compound intervals strongly retain the perceptual character of their simple equivalents. A major ninth and a major second share the same interval quality — both have the characteristic reaching, slightly open sound of a major second — but the ninth is wider and more spacious. This happens because the octave itself is acoustically transparent: notes an octave apart share nearly all the same overtones, so the octave "disappears" perceptually, leaving the character of the underlying simple interval audible. You're not learning a set of entirely new intervals — you're extending seven familiar ones.
The practical strategy for recognizing compound intervals by ear is to reduce them mentally to their simple equivalents. When you hear a wide upward leap, ask: ignoring the octave, what simple interval is that? A tenth that sounds like a major third tells you it's a major tenth (major 3rd + octave). A minor ninth that sounds like a small, sharp step tells you it's a minor ninth (minor 2nd + octave). Your existing inversion knowledge also helps: the web of relationships between simple intervals — that a major third inverts to a minor sixth, that a perfect fifth inverts to a perfect fourth — remains intact across the octave boundary and gives you additional reference points for identification.
To develop compound interval recognition, practice with two-voice examples where one voice sustains a low note while the upper voice moves to pitches more than an octave away. Train yourself to name the simple equivalent first, then attach the "compound" label or full number name. Over time, the most common compound intervals — the ninth, tenth, and twelfth — will become as recognizable by character as their simple versions, without any conscious reduction process. The major tenth in particular has a distinctive lyrical openness that makes it immediately identifiable once you've internalized it as a wide major third.
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