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Training in the elements of music

Mental exercises

Whenever you're sitting or standing around waiting for something (or on the treadmill in the gym, or out for a walk, or a thousand other similar situations) you need never be bored again! There are mental exercises that you can do to occupy yourself while training your brain to remember general and specific intervals, scales, chords, and so on. Do these entirely in your mind with your eyes open but not looking at a keyboard or using any other visualization or memory aid.

  1. Note letters in seconds ascending (7 iterations). Recite the sequence of note letters A up to G inclusive, picturing the piano keys as you go. Now repeat for B up to A inclusive. Continue in the same way and finish on G up to F inclusive for a total of 7 iterations. Do variations of this exercise where the letters are recited in groups of 2 (for example, AB DC EF G) or 3 (for example, ABC DEF G). While doing the groups-of-3 variant, pay attention to the first and third note in each group; this is the beginning of thinking in intervals of a third. Also do variations where you picture the note clock (shown below) as you recite, instead of the piano keys. elements
  2. Note letters in seconds descending (7 iterations). Recite the note letters A down to B inclusive, picturing the piano keys as you go. Now repeat for G down to A inclusive. Continue in the same way and finish on B down to C inclusive for a total of 7 iterations. Do the same variations for this exercise as for exercise #1.
  3. Note letters in seconds ascending and descending (14 interleaved iterations). Recite two series of note letters—A up to G inclusive and A down to B inclusive—by taking the 1st letter from the ascending series, the 1st letter from the descending series, the 2nd letter from the ascending series, the 2nd letter from the descending series, and so on. Then repeat with B at the origin and so on ascending to G (or repeat with G at the origin and so on descending to B). Do the exercise sometimes picturing the piano keys, sometimes picturing the note clock. Before you say each note letter, mention the general interval from the origin note; this is the beginning of thinking in intervals and of learning the degrees of all the scales. Notice what happens between the intervals of a fourth and of a fifth; the ascending and descending series cross. The result is: "Unison above A: A, unison below A: A, second above A: B, second below A: G, third above A: C, third below A: F, ... seventh above A: G, seventh below A: B (and then repeat for the other six note letters)" If you're making slow progress on this one then forget the unison and seventh intervals and just focus on a third/fourth/fifth/sixth above and below the origin note, sometimes going thirds up to sixths, sometimes sixths down to thirds.
  4. Note letters in seconds ascending interleaved with descending (14 iterations). A combination of exercises #1, #2, and #3. Recite the sequence A up to G, then A down to B, then B up to A, then G down to A, ... then G up to F, and finally B down to C. Each iteration begins at an increasing interval above or below A, so make a mental point of that interval as you begin each iteration. Don't forget to do the variations and observations of the exercise as described in #1, #2, and #3.
  5. Note letters in seconds ascending and descending A-G (14 interleaved iterations). Perform exercise #3 (which has A at the origin) and then repeat it with B at the origin and so on, ending on G. Same variations and observations as #3. For further variation, go in descending order taking as the origin the notes A down to B.
  6. Note letters in seconds ascending interleaved with descending A-G (98 iterations). Perform exercise #4 (which has A at the origin) and then repeat it with B at the origin and so on, ending on G. Same variations and observations as #4. For further variation, go in descending order taking as the origin the notes A down to B.
  7. Note letters in thirds ascending interleaved with descending A-G (98 iterations). Perform exercise #6, but navigate the note letters in thirds instead of seconds (for example, "A C E G B D F, A F D B G E C, ...").
  8. Scale formula degrees. Recite the degrees of these scale formulas (ascending up to 1' and then descending back to 1 in each case): major, natural minor, harmonic minor, and melodic minor.
  9. Scale formula triads. For each degree of the major and harmonic minor scale formulas, observe the name of the triad formed from that degree, the scale degrees that form it, and its modality. For example: I, 1+3+5, major, ii, 2+4+6, minor, and so on.
  10. Major and minor thirds and triads. You can visualize either the piano keyboard for this, or another instrument, or the tone clock. Starting at the note C, move up in thirds (alternating major then minor) until you get back to C. As you go, note the major and minor triads that you're forming and the thirds that each neighbor shares. Also note the cycle of fifths and fourths as you go. So, to illustrate: C, major third up to E, minor third up to G, that's C major. G is a fifth above C; C is a fourth above G. E, minor third up to G, major third up to B, that's G minor. B is a fifth above E; E is a fourth above B. This goes on until the G# major triad. Instead of going on to a B# minor triad, do an enharmonic shift to a C minor triad then continue to C. Then repeat from C but this time going in reverse until the Ab minor triad then, instead of going on to the Fb major triad, do an enharmonic shift to an E major triad.