Perfect intervals include the unison and the octave. Perfect intervals also include fourths and fifths. Perfect intervals are labeled with a capital "P." The Major



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Consonance and Dissonance


Consonant intervals are intervals that are stable. These intervals require no resolution. The consonant intervals are P1, m3, M3, P5, M6, and P8. All other intervals within the octave are said to be dissonant. Dissonant intervals are tense, and require resolution.

Enharmonic Intervals


Enharmonic intervals are intervals that sound the same but are "spelled" differently. These intervals result from the inclusion of enharmonic equivalents.

The most common enharmonic intervals are the diminished fifth and the augmented fourth, shown below. These two intervals divide the octave into two equal parts. These intervals contain three whole steps, for this reason these intervals are referred to as the tritone.




Inverting Intervals


When an interval is inverted, the lower tone is raised one octave. The table below shows some intervals and their inversions.

Intervals and their inversions.

The Interval

When Inverted becomes

Unisons

Octaves

2nds

7ths

3rds

6ths

4ths

5ths

5ths

4ths

6ths

3rds

7ths

2nds

Octaves

Unisons

Perfect

Perfect

Major

Minor

Minor

Major

Diminished

Augmented

Augmented

Diminished

Compound Intervals


Compound intervals are intervals that span distances greater than an octave. These intervals are often labeled as their simple equivalents, as if an octave had been removed from the interval. The actual, or compound, interval name is only used if it is very important to stress the actual interval size.

Identifying Intervals


The easiest way to find an interval's name is to first, count all the pitch names present, including the notes themselves (ignore sharps and flats at this point). Then, find out (had it been missing a flat or sharp) what type of interval it would be, depending on whether it is perfect (a 1,4,5,8) or major (2,6,7). If there are no sharps or flats, you are done. If there are, figure out if the flat or sharp decreases or increases the distance between the two pitches. If it increases the distance, the interval is augmented. If it decreases the distance, and the interval would otherwise be perfect, it is diminished. If it decreases the distance and the interval would otherwise be major, it is minor.

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