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Posted by : Unknown
Wednesday, 21 August 2013
Carnatic Notations
There are 7 notes in carnatic music - they are s, r, g,
m, p, d and n. These are also called sapthaswaras (saptha means seven ,
swaras mean notes). Every song has a shruthi (pitch) in which it is
rendered. This shruthi is comprised of 3 notes - either s,p,s (for
panchamam-based shruthi) or s,m,s for madhyamam-based shruthi.
Interesting enough, amongst these 7 notes, the s and p do not have any
variation. The other notes have either 2 or 3 variations. Given below
are all possible variations for all the carnatic notes.
- s - Shadjamam
- r1 - Sudhdha Rishabam
- r2 - Chatusruthi Rishabam
- r3 - Shatsruthi Rishabam
- g1 - Sudhdha Gaandhaaram
- g2 - Saadhaarana Gaandhaaram
- g3 - Anthara Gaandhaaram
- m1 - Sundhdha Madhyamam
- m2 - Prathi Madhyamam
- p - Panchamam
- d1 - Sudhdha Dhaivatham
- d2 - Chatusruthi Dhaivatham
- d3 - Shatsruthi Dhaivatham
- n1 - Sudhdha Nishaadham
- n2 - Kaisiki Nishaadham
- n3 - Kaakali Nishaadham

Figure 1: Keyboard mappings for swaras (I am assuming that we will start 's' with 'C'; oru kattai).
When providing songs in carnatic notes, the current
octave is specified as s, r, g, m, p, d, n (in lowercase letters). The
notes in the next higher octave are depicted as S, R, G, M, P, D, N (in
uppercase letters). The notes in the previous lower octave are depicted
in lowercase letters with a '.' under the note.
Western Notation
There are 7 notes in western music (very similar to
carnatic notes) - they are C,D,E,F,G,A,B. Interesting enough, within an
octave (12 consecutive keys), there are 7 white keys but only 5 black
keys. Given below are all the western notes depicated on the keys.

Figure 2: Keyboard mappings in western notation
Note that the western notations have almost the same
pattern as the carnatic swaras. We have the basic notes C, D, E, F, G,
A, B (like the s,r,g,m,p,d,n) but these are all the white keys. Now the
black keys are specified by either a '#' (pronounced as SHARP) or a 'b' (pronounced as FLAT).
A black note immediately to the right of the white key is considered a
sharp note for the corresponding white key. For example, looking at the
above picture, the 'C#' is the immediate (note: only adjacent) black key to 'C'. Thats why its called C# (pronounced as C-SHARP).
That same black key (C#) can also be called as 'Db' (pronounced as D-FLAT).
The explanation is the same as the sharp, the flat key is the
immediate left black key for the corresponding white key with which
they are associated with. Basically, the point to understand is that C#
and Db both point to the same key on the keyboard (its the black key
between C and D). Its just a matter of convenience. You can call it
either way whichever is convenient to you (somebody's SHARP or somebodyelse's FLAT).
When providing songs in western notes, the current
octave is specified as c, d, e, f, g, a, b (in lowercase letters). The
notes in the next higher octave are depicted as C, D, E, F, G, A, B (in
uppercase letters). The notes in the previous lower octave are depicted
in lowercase letters with a '.' under the note.
Finding Frequencies of notes in piano/keyboard
Music is a sequence of notes in some well defined
(or may be random) order. A 'note' is a sound in a specific frequency.
Its the frequency of the notes that make them different. So, what are
the frequencies of these notes C, C#, D, D# etc? They
are well defined and remain the same. The 'A' key on the piano or
keyboard is always 440 Hz (its used as an index, sort-of). Its a
universal constant.
Fn = BaseFreq * 2^(n/12)
where BaseFreq is the frequency of the key which we have as the base
n is the key number from the base key for which we need to find the frequency.
Fn is the resultant frequency of the 'n'th key from the key with BaseFreq.
n is the key number from the base key for which we need to find the frequency.
Fn is the resultant frequency of the 'n'th key from the key with BaseFreq.
For example:
Assume BaseFreq (for A) is 440 Hz. To find out the frequency of C (which is 3rd key to the right of A, dont forget to include the black keys), the formula has to be substituted with n=3 and that gives
F3 = 440 * 2^(3/12)
F3 (frequency of C) = 440 * 2^(1/4) = 523.25 (approx)
Assume BaseFreq (for A) is 440 Hz. To find out the frequency of C (which is 3rd key to the right of A, dont forget to include the black keys), the formula has to be substituted with n=3 and that gives
F3 = 440 * 2^(3/12)
F3 (frequency of C) = 440 * 2^(1/4) = 523.25 (approx)
Suppose, you want to calculate the frequency of the A
in the next octave, (as you know, since there are 12 keys in the
octave) there are 11 keys between the current octaves 'A' and the next
octave's 'A'. Which means, now our 'n' should be 12.
F12 = 440 * 2^(12/12) = 440 * 2 = 880.
F12 = 440 * 2^(12/12) = 440 * 2 = 880.
It is very evident from the above that the same note
(in our case 'A') if played in the next higher octave, sounds a
frequency which is double the frequency of the current octave (880 = 440
* 2). The same holds good for subsequent higher octaves and lower
octaves (except that previous octaves 'A' sounds with half the frequency
as the current one).
The point to note in the western notations (depicted
in the figure above) is that they dont change. The key specified as
'C' or 'D' will continue to be 'C' or 'D' for their lifetime. Thats the
way they have designed/defined the western notes on the keyboard. When
it comes to playing classical carnatic swaras (like s, r, g, m, p, d,
n), since we associate the 's' with 'C', we play in 1-scale. We can
also associate the 's' with a 'D' on the keyboard. In that case, our
mappings will change for the swaras on the keyboard and we play in
2-scale. Typically this is what dictates a 'sruthi' (the base) for any
song (whether vocal or instrumental). You must have heard singers being
low-pitched or high-pitched. Low pitched means their 's' will be mapped
to either 'C' , 'C#', 'D', 'D#' etc., (mostly in the
1 to 3 scale). Male singers usually are invariably low-pitched. The
female singers on the other hand are high-pitched (mostly 4-scale,
5-scale, 6-scale like F, G, A, etc.,).
But dont worry! Our notations are always going to be in C-scale (for western notes) or 1-scale (for carnatic) to keep it simple.