Ear training/Intervals

Introduction
Learning intervals is arguably the most fundamental and important part of ear training. Not just recognizing specific intervals but feeling where the melody goes next is crucial for dictation, triad and chord constuction, sight singing, and all that jazz.

An interval is simply the distance between two pitches. There are 12 unique pitches in Western music (not counting the octave), and therefore only 12 intervals (not counting invervals greater than an octave). The difficulty lies in that they each have several ways of being written, which seemingly creates many more. For example, a minor sixth is also an augmented fifth and so forth. But these are easy to do once the rules become apparent. For now (and in general) one only needs to focus on the main notation.

Recognizing By Ear
For recognizing Intervals, one can use a few different methods. Simply memorizing them (through drill and kill) may be effective for some, but for most of us, it is more useful to use association. You've probably heard these intervals all your life, and maybe you've attatched some innate feeling or emotion to some. Example - major 6ths sound sweet to some people, and minor 6ths may sound distraught, depressed, longing. Tritones (augmented 4th or diminished fifth) to some may remind some of the 8bit sound in video games when your ship crashed, to others it may sound horrible, especially when played simultaneously (in the middle ages tritones were connected with Satan for their dissonance), still others may recognize them as the note that leads into a perfect 5th, and remember the opening theme to "The Simpsons" or the song "Maria" from West Side Story ("THE - SIMP" and "MA - RI") are tritones. There are many examples in popular music both for intervals going up and going down.

Recognizing Written Intervals
Written intervals can be recognized in several ways. One method is to count how many half steps are between 2 notes (e.g 7 half steps is a perfect fifth, 1 half step is a minor second). Another method is to compare the interval to the location on the scale of the key note. For example, C and A form a major 6th, as A is the 6th note on C major scale. D and F would form a minor third, as F is a half step below F#, which is the third note of the D major scale.

Quizzes

 * ../Quiz/Major scale/
 * ../Quiz/Minor scale/

listening
GNU Solfege is a free music education program for learning intervals, chords, and scales by ear, among other things.

Musical Mind has free interval ear training exercises online, as well as other exercises for solfege, dictation and playing by ear.

written
http://musictheory.net/trainers/html/id84_en.html - Interval Trainer for recognizing written triads