quinto-information.in

LET US MAKE A TUNE! (THE CONCEPT OF A SCALE)

We have learnt about the keyboard, labeled the various keys under the Eastern and

Western schemes and even quarreled about whether it should have 12 keys or 22 to an

octave. We now know that these keys are like the alphabets in creating music. How then

do we compose music?

Before we answer this question, let us see if we can say something about the structure of

a 'tune' or the 'melody' itself. If we listen to any musical piece such as 'Jana gana mana' or

'Roop tera mastana', we notice that their second lines and subsequent lines are not just

mindless imitation or repetition of the first lines. There is an elaboration of a theme as the

song unfolds. You could listen to any line of 'Roop tera mastana' and feel that it is

connected to the first line, in a musical sense. If someone played a musical phrase from

the song at random, the odds are you would guess that it is from 'Roop tera mastana'. And

it may sound trivial, but you also notice that 'Roop tera mastana' does not at all sound like

'Jana gana mana'. There is a character, a structure and an identity to the song, however

vague the concept may sound. (note the pun on the word 'sound' !) If you have grasped

this abstract concept, you have almost understood the concept of a 'Ragam' (or 'raga' or

'rag') because a Ragam is also an embodiment of a particular musical identity.

For example, if you heard the song 'Vande maataram, Shujalaam shuphalaam...' you can

tell that it has its own identity, which is different from the way 'Jana gana mana..' or

'Roop tera mastana ..' sound. This song is in fact, based on a Ragam called 'Desh'.

How do we forge such special musical identities using a keyboard ? The answer lies in

choosing just a SUBSET of keys out of the twelve keys available in an octave (instead of

all twelve) and sticking to just this subset of keys while making music. If you used all the

keys in the keyboard to compose one song, you may not create anything with an identity.

(You will see, as you understand more about music that this statement is strictly not true.

There are nice-sounding musical compositions where almost all the keys are used)

Let us take an example. Let us choose just all the white keys in an octave - that is, use

only seven out of the twelve keys. And let us play the keys in any order, even stay on one

key for whatever length of time if we choose to do so. Let us allow ourselves to go to the

white keys in the octaves below and above the standard octave as well. After a few

minutes, you may sense an 'effect', a 'whole-ness' ('Gestalt'!) or a personality to the sound.

If you don't believe me, have your friend play the keyboard with only the white keys. Now close your eyes and ask him (or her) to occassionally hit any black key. You can

easily tell whenever the black keys are hit, because you are now sensitive to the 'structure'

or 'character' produced by the seven white keys.

Is there a lower limit on how FEW keys we can choose in our subset and still get by ? If

we chose a subset of just three keys (say, the first three white keys) in an octave and limit

ourselves to those keys, we see that we don't have much variety to the melodies we can

produce. It may sound like a drum beating. But is devoid of any special melodic

personality. In general, (note that this is not an absolute law) one chooses five or six or

seven keys out of the twelve keys available in an octave. More about these selection rules

later. Once these keys are selected, the corresponding keys in the other octaves are also

automatically selected and used in melody making.

In the context of Indian music, one has an extra degree of freedom. One can choose one

set of keys to go up in frequency in the octave and choose an entirely different set to

come down the octave, if we so desire. The key sequence to go up is called 'Arohanam'

and the key sequence which forms the descending order is called the 'Avarohanam'. More

about it later as well ! Let us now stick to 'symmetric' choices while going up or down. At

the risk of sounding repetitive, let me say that you can always decide to be a nonconformist and follow none of these so-called rules and conventions. Music is after all, a

creative art and the final criterion is whether it sounds pleasing.

How do we select the 'subset' of keys ? Our ancestors have done quite a bit of research on

such selection rules and have come up with algorithms. Let us look at the Western music

first. The 'Major' Scale is a very typical selection algorithm. This helps you select seven

keys in an octave. The rules are as follows:

First key - Choose ANY key in the octave.

Second key - Skip the adjacent key to the right, choose the one after that. In effect, you

have moved a 'whole tone' from the first key. Remember the concept of 'whole tones' and

'semitones' from the previous chapter. And that the whole tone equals shifting two

semitones.

Third key - Again, skip the adjacent key to the right, choose the second one (again, you

have moved a 'whole tone')

Fourth key - select the adjacent key. (you have moved a 'half tone' or a semitone)

Fifth key - Skip the next key, but select the one after that. Onceagain, you have have

moved a full tone.

Sixth key - Skip the next key and select the one after that.

Seventh key - Select the adjacent key. In short, your frequency selection is:

Select a key and then move,

Whole tone - whole tone - half tone - whole tone - whole tone - whole tone - half tone

If you started with the usual C key, the first white key, you will see that the 'C Majo

term 'scale', which is simply a sequence of keys. Also, the algorithm 'wraps around itself'.

That is, if you started out with the F key for example, and created the F Major Scale, you

will spill over to the next octave. But that is okay, because you can fill up the rest of your

scale by starting out with the F key of the PREVIOUS octave. That is, with this

algorithm, you will always select seven keys in an octave. A question to ask is - will we

get unique sequences using this algorithm every time we start off with a new key ? Or is

there a possibility of our sequence repeating itself for two different starting keys, i.e, is

the C Major scale different from D Major and are there twelve unique Major scales ? (I

will leave this as an exercise for the very enthusiastic reader !)

Similarly, other algorithms can also be defined. One other choice is called the Minor

scale - which is in reality a generic name for three different algorithms. One of them goes

as

Whole - half - whole - whole - half - whole - whole (with the freedom to choose the first

key)

I am not giving the selection rules for the other two 'Minor' algorithms. Again there are

twelve keys we can select as our first key and therefore we can generate twelve

sequences per Minor algorithm and there are three such 'Minor' algorithms, bringing a

grand total of twelve times three, thirty six possible Minor scales. But we discover that

many of the scales repeat themselves and in reality the number of unique 'scales' are

fewer than thirty six Minor plus twelve Major scales.

Coming back to Indian system, even the ancient Tamil literary work, Silappadhikaram

talks of an algorithm called 'Ilikramam', fascinating as it sounds. The rules of Ilikramam

are quite similar to the selection of Major and Minor scales. It is really fun to work out

this algorithm and derive a bunch of scales. (If you are more interested in this, refer to

Prof. Ramanathan's book in the Reference section) In fact, nothing stops you at this point

to go ahead and create your own selection rules to choose seven keys out of the twelve in

the octave.

But let us turn our attention to Karnatic music. (Also, at this point, I will depart from

talking about Indian classical music in general and stick only to South Indian music.

Wherever relevant, references will be made to Hindustani music) In Karnatic music, a very famous algorithm exists to select the keys in an octave, which

forms the basis of important scales, which are called the 'Melakarta Scheme'. The

Melakarta scheme selection algorithm is as follows: Please refer to Fig. 3 or Table II)

Table IV

The 72 Melakarta Ragams and their scales

-----------------------------------------------------------------------

---

# Name Ri ga Dha ni # Name Ri ga

Dha ni

Suddha Madhyamam (M1) Prati Madhyamam (M2)

-----------------------------------------------------------------------

-----

1 Kanakanki R1 G1 D1 N1 37 Salagam R1 G1 D1

N1

2 Ratnangi R1 G1 D1 N2 38 Jalarnavam R1 G1 D1

N2

3 Ganamurti R1 G1 D1 N3 39 Jhalavarali R1 G1 D1

scale' is simply all white keys. This is a very 'major' scale, really, with a lot of popular

compositions. And in the process of introducing this algorithm, we have also defined the