Practicing Rhythms
As discovered above in the section "Getting a Feel for the Beat", beats are found in groups. The most common groupings are of 2, 3 or 4 beats. In terms of the written notation of these groupings, the following table will be helpful as a guide. Focus on the line that begins with the word "Quarter". The notes you see on this line are called "quarter notes".

The quarter note is the one most commonly used to represent the length of one beat. The chart above gives the values (durations) of the notes in relation to each other. Thus, the eighth notes below the quarter notes last exactly one half as long and therefore two of them occupy as much time as one quarter note does. Likewise, each sixteenth note lasts one fourth as long as a quarter note etc. The chart does NOT describe how the notes appear in actual musical pieces. That is because each quarter note is here seen within it's own "box", separated from it's neighbor. Usually a certain number of quarter notes are grouped with a given "box" which is called a "measure". The following picture illustrates this:

Here are four measures (delineated by "barlines"). Each measure contains four quarter notes. Each quarter note represents one beat. Therefore, there are four beats in each measure. The "time signature", 4/4, located after the "treble clef" is an abbreviation for this state of affairs. The "4" on top indicates how many beats there are per measure. The "4" on the bottom indicates the fact that it is the quarter note which represents the duration of one beat. There are many pieces of music in which not the quarter note, but the eighth note or the half note represents the beat. More of this later.
IMPORTANT POINT: It is important, from the outset, to understand that beats are merely points in time which divide up the time into regular segments of equal duration. The beat itself has no duration. The time that lasts between the beats can be filled either with sound (designated by "notes") or silence (designated by "rests"). This point is easily seen in practice: If you stop the sound right after singing "tah" on the first beat, and wait for the next beat to begin singing again, you are marking only the beginning and ending lines of demarcation of the beats. The actual time between beats is measured from the beginning of one beat (e.g. when the arm falls to the bottom point of the arc) to the beginnng of next beat (when the arm again reaches the bottom). (NB: The ending of the one beat is the same as--or occurs at the same time as-- the beginning of the next beat!!)
The sound, "tah", which you are producing to mark the beginning and ending of the beat is saying: "There is some kind of note (whether a quarter note, an eighth note etc.) that is written at the point where the beat begins; the sound "tah" marks the beginning of that beat. In the 4/4 example you have been practicing, the first quarter note falls on the first beat of the measure and it's duration in sound lasts until the second beat starts. The second quarter note, similarly, falls on the second beat of the measure and it's sound lasts until the third beat, and so on. In order to properly perform what is written in this 4/4 example, you must keep the sound going when singing "tah" from beat to beat and articulate each new "tah" at the beginning of each new beat letting the "ah" sound continue throughout the duration of that beat until the next articulation. . This way you are simultaneously delineating the beginnings/endings of the beats and accurately performing the durations of the quarter notes. Since no "rests" are written in this example, there should be no pauses in sound until the end (except in those places where, if necessary, a breath must be taken without interupting the rhythmic flow). In fact "the end" does not occur until the beginning of a beat that is not actually marked with either a note or a rest. The performer must mentally see this ending as lying just beyond the end of the written piece and continue to sing "tah" until the "end" is reached as indicated by the last swing (begun at the time the last note has been initiated) of the arm to the bottom of it's arc.
Eighth Notes

The 8 measures above are to be practiced in a similiar manner as the previous rhythm exercises. The steps are as follows:
As for the "dotted quarter notes" which are easily identified: the dot represents half the value of the note beside which it is placed. Thus, in the fifth measure of the example above, quarter note that has a dot beside it has an extra eighth note of time value added to it. You will sometimes see this measure written as follows:

The curved line which connects the quarter note to the following eighth note is called a "tie". It ties the two notes in question together. The first note is played or sung and the second serves only to lengthen the amount of time the first note sounds. That is, the second note is not clapped, the hands merely remaining together for the additional time of the eighth note. (It may help to press the hands slightly together on the count of "two" in order to feel the beat at this point.) Thus, there should be only two claps in the measure. The two representations of the measure in question are, in this way, identical in their performance. The rhythmic patterns in measures 5, 6, and 7 may be seen more easily in their "tied" versions. Both versions are given below:

You will notice that measure 7 has no dotted note, but presents similar if slightly different rhythmic problem. In fact, measure 7 is very much like measure 6. In both measures the second beat is not clapped, but the note just before it is clapped. This results in what is known as "sycopation". In this example, a "weak" part of the beat is accentuated by having the strong part of the beat held over by being tied to the weak one before it. In the case of the 2/4 meter, the weak parts of the beats are those eighth notes which occur on "&", while the strong parts of the beat are the notes that fall on "one" or "two". In measure 7 (see the "tied version), a slight accent is properly felt on the clap for the "1&" eighth note preceding the "2" eighth note which is tied to it. Again, the hands should be lightly pressed together on "two" to feel "the beat". This counter-action of accents results in the feeling of syncopation. The only differnce between measures 6 and 7 is that the last eighth note is clapped in measure 7, whereas it is not clapped in measure 6. Though this results in a feeling of syncopation in both measures, the feeling is stronger in measure 7 because a weak part of the beat is again clapped on "2&". This tends to highlight the perception that the strong "2" was not clapped.
Another suggestion which can help to keep track of the beats occur is to make small vertical "hash" marks above the staff where they occur. In the 2/4 example this would be above those places marked "1" and "2". This visual aid will help you follow the rhythms more easily until you are familiar with the various rhythmic patterns, which in reality are not that many.
Learning the Note Names on the Piano

Learning the Note Names on the Staff

Repeat this several times to get used to the finger pattern. Your goal is to play the scale at a rate of about one note per half second (set the metronome to 120 if you decide to use it to keep the beat). After you can do this in an smooth and even manner, try coming down the scale (without stopping and without repeating the higher "C" which should be played just once. Thus: "do, re, mi, fa, so, la, ti, do, ti, la, so, fa, mi, re, do" or "1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1" or "C, D, E, F, G, A, B, C, B, A, G, F, E, D, C". Once you can play the scale evenly up and down without stopping at a rate of 1/2 second or so per note, start to sing, as you are playing, one of the three verbalizations just listed. Watch the keys closely as you are playing, with the idea of memorizing the pattern of black and white notes surrounding the white keys that you are actually striking. This is the pattern for the C Major Scale. Try all three ways of singing the scale while accompanying yourself at the piano. The number of times you play each version depends on how soon you reach the goal of fluency at the rate of a half second per note. (Note: you can, of course use your left hand instead of the right, in which case the fingering is reversed: i.e. "5, 4, 3, 2, 1, 3, 2, 1, 2, 3, 1, 2, 3, 4, 5").
On the piano, however, one can, with a little attention, readily see the difference between whole and half tones. On the piano, THE HALF-TONE IS PLAYED BY GOING FROM ANY KEY TO THE NEXT ADJACENT KEY, UP OR DOWN. What this means is that there are a total of THREE different "looks" as to how a half-tone might appear on the piano:
1. Going from a white key to the next adjacent (without a black key in between) white key. (By the way, this "look" occurs only between the notes F-E and B-C on the keyboard.
2. Going from a white key up (to the right) to the adjacent black key.
3. Going from a white key down (to the left) to the adjacent black key.
Similarly, on the piano, THE WHOLE-TONE IS PLAYED BY GOING UP OR DOWN TWO HALF-STEPS FROM ANY STARTING KEY. This results in a total of FOUR different "looks" as to how a whole-tone might appear on the piano.
1. Going from a white key to a white key (e.g. C to D) with a black key in between.
2. Going from a black key to a black key (e.g. C-sharp to D-sharp) with a white key in between.
3. Going from a white key up to a black key with a white key in between.
4. Going from a white key down to a black key with a white key in between.
From this meager beginning one can, with a little practice, see the various distances between the intervals on the piano.
As you play the C Major scale, you are playing a pattern of intervals, namely: C to D (a whole-tone); D to E (a whole-tone); E to F (a half-tone); F to G (a whole-tone); G to A (a whole-tone); A to B (a whole-tone); and B to C (a half-tone). This pattern of whole and half tones remains the same for any major scale and that is why all major scales sound "the same" (just higher or lower in pitch).
Thus, if you wished to start to play a major scale on the key of G, for instance, you would use the "whole-whole-half-whole-whole-whole-half" pattern to determine which notes to play. You would arrive at the following letter names: G, A, B, C, D, E, F-sharp(#), G. As you can easily see, in order to preserve the half-tone interval from the seventh to the eighth keys (B to C in the scale of C major) you must use the F#. All the other keys, though white, happen to fall into the Major Scale pattern without alteration. Another way of stating the pattern is to say that all of the intervals are whole-tones except two: those between the 3rd and 4th notes (3-4) and between the 7th and 8th notes (7-8) of the scale. These two intervals are half-tones.
The diatonic major scale is a pattern of pitches which remains the same for each major scale. The following diagram depicts the relationships between each of the tones of the major scale, whether the scale is a C major scale (i.e. a major scale starting on the note C), a D major scale, an E-flat major scale etc. Memorize this pattern and practice playing and singing it until it is a deeply ingrained aural pattern. Also memorize the three symbolic ways of representing the pattern. Note especially the appearance of the half step between scale degrees 3 and 4 and 7 and 8.
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
7 |
6 |
5 |
4 |
3 |
2 |
1 |
|
do |
re |
mi |
fa |
so |
la |
ti |
do |
ti |
la |
so |
fa |
mi |
re |
do |
Examples: The Major Scales of C, G and F (F uses a B-flat(b))
|
C |
D |
E |
F |
G |
A |
B |
C |
B |
A |
G |
F |
E |
D |
C |
|
F |
G |
A |
Bb |
C |
D |
E |
F |
E |
D |
C |
Bb |
A |
G |
F |
|
G |
A |
B |
C |
D |
E |
F# |
G |
F# |
E |
D |
C |
B |
A |
G |
For scales which add flats, instead of sharps, you begin the new scale on the 4th note of the previous scale. For example, the 4th note of the C scale is F, so the new scale will be F Major, which has one flat. The 4th note of the F scale is Bb, so the next scale will be Bb Major.
A good first level goal is to learn all the scales having up to 3 sharps and 3 flats for a total of seven scales. Learn them in this order: C, G, F, D, Bb, A, Eb. In this fashion you will learn the scales in the order which increases the sharps or flats by one for each two scales learned other than C Major, which, course has no sharps or flats.
3. Remarkable progress can also be made by developing your "inner ear". To do this sing and visualize the scales without vocalizing. Be sure, however, that you are not using your throat muscles, sub-vocally when doing this. To be the most effective, this practice should be done completely mentally.
4. Some people find that visualizing the scales is easier if done in two parts. Split the scale into two four-note groups (tetrachords). In the scale of C, this would be C, D, E, F and G, A, B, C. Visualize the groups separately, then put them together again.
5. As the flats and sharps are added one by one to each new scale, pay close attention to the way the contours of the scales change. Each scale has it's characteristic contour or "look" of black keys against white. In your mind make the black notes which are actually struck a bit darker than the ones which are not. Also pay particular attention to the transition of white to black and black to white keys. Is the particular interval a half-tone (with no intervening key) or a whole-tone (with a white key in between)?
6. The goal in learning to visualize the scale patterns is really to see the pattern as a "gestalt" as you would see a work of art, not as an assemblage of separate pieces but a total field. The it is as important to be able to "place in your mind's eye" the notes which ARE NOT struck as well as those that are, even thought the notes which ARE struck are "in relief" so to speak and stand out from the ones not struck. Learning to do this can only be accomplished through attentive, not automatic or mindless practice.
Superimposing the Keyboard Scales Onto the Staff

Notice that the staff is metered (4/4). It is always helpful to have a sense of meter when playing scales. This helps to keep the playing rhythmically smooth and even. The first several times you do the following instructions you may want to count 1-2-3-4-1-2-3-4...etc. Granted this may be too much to do at the beginning but try it after your first couple of attempts.
At the same time you are thus, learning to associate the look of the note on the staff with the note on the keyboard. Be sure you are playing the note on keyboard that exactly corresponds to the note on the staff. For example, if you play middle C, make sure you're looking at middle middle C on the staff.
Learning the Sounds of the Intervals
- This section has been developed in the light of the fact that this website cannot offer a practicum for learning the sounds of the intervals simply because it is not equipped with sound files nor the program files which would be necessary to teach these sounds. That said, I hope the following information will aid you in this area of your sight-singing education.
- Of all the skill in sight-singing this one requires the most effort for the majority of people. We are, by and large a visually oriented culture, not an aurally oriented one. For this and other reasons an approach which includes the use of "ear-training" software or at least a tape recording of the sounds to be learned is almost imperative, even if one is taking a class in school. Much of the basic tutorials in music can now be gotten for free or for a very low fee. Probably because a lot of musicians are also programmers and create very nice programs on the side as freeware or shareware. Two other websites for finding ear-training software:
- Ascending intervals and their inverses:
Major 2nd do-re (1-2): Oh Susanah ("Oh, I Come from...") re-do (2-1): Major 3rd do-mi (1-3): Oh, When the Saints..., Michael, Row the Boat Ashore mi-do (3-1): Swing Low Sweet Chariot, Lou, Lou, Skip to My Lou Minor 3rd do-me*: Greensleeves ("Alas, My Love") me-do: Perfect do-fa (1-4); Hineh Ma Tov (1-4-4-4 minor) 4th Good King Wenceslas (Ending:"Fu-u-el") The very beginning of Nutcraker Suite. Perfect do-so (1-5): Twinkle, Twinkle Little Star 5th so-do (5-1): Eerie Canal, ("I had a mule") Major 6th do-la (1-6): Momma's Little Baby Loves Shortnin' Bread la-do (6-1): Nobody Knows the Trouble I Seen [really mi-so] Major 7th do-ti (1-7): Bali High (1-(8)-7), The Pajama Game Octave do-do (1-8): Somewhere Over the Rainbow Desending Intervals (and their inverses): Minor 2nd do-ti (1-7): Joy to the World, Ave Maria ti-do (7-1): Fascination (ti-do-mi-so-do[high]) Minor 3rd do-la (1-6): Momma's Little Baby (second part) "Put on the skillet": do-do-la-so...) la-do (6-1): The Wave (So close your eyes) Perfect do-so (1-5) Who Can Retell (do-do-so-do...), 4th The Dodgers Pep Song, "Shave and a haircut, two bits" so-do (5-1): Hark, the Herald Angels Sing Red River Valley ("From this valley...") Auld Lang Syne ("Should auld...") Perfect do-fa (1-4): 5th fa-do (4-1): Minor 6th do-mi (1-3): mi-do (3-1): Excerpt: Schubert's "Rosamunde" Overture (mi-do-so, mi-do-so) Minor 7th do-re (1-2): re-do (2-1):
In this way one need not merely move from interval to interval but can appreciate each note in its relationship to the grounding note. Depending on one's experience, it is oftentimes easier to find the sound of the next note to be sung by relating it to 'do' rather than by trying to hear it in intervalic relationship to the preceding note. For instance the sound of the interval from 'so' descending to 're' may be heard and sung more easily if you hear the perfect fifth from 'so' to 'do' first and then hear the major second from 'do' to 're', rather than by trying to hear the descending perfect fourth directly. Though this procedure is somewhat indirect, it is a useful step in learning to locate an otherwise "tricky" interval. Over time the direct apprehension of the descending fourth will occur.
Try singing the same song you just sang a minute ago but this time, stop somewhere, unexpectedly in the middle the song, perhaps at the end of a phrase or exactly in the middle of a phrase (e.g. in Mary Had a Little Lamb, the middle of the first phrase ends just before you sing the word "Mary" for the second time). As you sing the words "little lamb" that third time, stop on the word "lamb". Now stop singing and see if you can hear the 'ground' or 'home' note of the song (i.e. 'do'). As you get more practice with this technique you should be able to stop anywhere and hear 'do'.
Singing Simple Musical Notation