Hindustani Classical Music - My little understanding - Part 5 (Meend)

In the previous article we discussed the types of "Alankaars" or ornamentations in the Hindustani Classical Music. In this article we will discuss in details on one of the most important ornamentation known as "Meend" (मींडْ).

"Meend" is essentially a glide from one note to another note.  The notes are not required to be next to each other. They can span multiple notes. "Meend"s can occur both ways i.e. Upwards or Downwards. That is one can glide from a starting note "Sa" to "Ma (Teevra)" as well as glide down from "Ma (Teevra)" to "Sa".

There are different forms of "Meend"s within this basic definition. One such type is one during which the glide from the starting note to the destination note may require (by the rule of the "Raag") to rest or touch the intervening notes in between. The duration of rest and the intervening note to rest on is dictated by the "Raag" in question. In another type there is a "wave" like movement where in there is both the upward and the downward movement combined while transiting from one note to the other.

"Meend"s are not playable on instruments like the harmonium. However stringed instruments like the Sarod, Sitar can play them nicely. So generally, fretted instruments play "Meend"s. "Meend"s are definately also a very important part of vocal singing.

There are two online resources that I found very useful. First is of course the "ITC Sangeet Research Academy". They have categorized different forms of "Meend"s along with examples. The other is the http://raag-hindustani.com website. This site is created by Ms. Sadhana. Browse to the section on Ornamentation. It contains good description of "Alankaars" and also some examples.

To help the readers get a greater understanding I will present some examples along with their frequency analysis.
The first example is from the raag-hindustani website. Ms. Sadhana first demonstrates the ordinary "m P D g" and then as it is sung in Raag Bageshree ("m P D g"), employing "Meend"s. The figure below is the time-frequency plot of both the clips.

Click on the image to enlarge the view.

Notice the first set of "m P D g" is totally "flat". There  is no "glide" seen when changing from one note to the other. In the second, observe the "glides" when moving from one note to the other. The glide to "Pa" from "Shudh Ma" upwards (slightly touching "Shudh Dha") and then a glide to "Shudh Dha" from "Pa" and then a final long smooth glide downwards to "Komal Ga". Now listen to the combined piece, along with the movements on the notes in real time in the video below. Switch to full screen view and select the HD mode. This will enable you to view the notes being sung in real time that are displayed in the extreme lower right corner. The video has the notes annotated "in-place" for easy reference too.

One can go through the rest of the examples on the website. They are really well explained. I am grateful to Ms. Sadhana for allowing me to use her recordings on her website http://raag-hindustani.com/Embellishment.html for the examples above. It allows me to show in greater details as to how "Meend"s look like and can be "detected" by the less trained ears of casual music lovers.

To close, let us also see on example of "Meend" from the great Ustad Amir Khan. In this example, he traverses the whole octave from "mandra saptak Ni" to "natural saptak  Ni" during one of his renditions of Raag Yaman Kalyan. Watch the glide, he does not stop anywhere in between during the glide.

As usual, switch to full screen view and select the HD mode. This will enable you to view the notes being sung in real time that are displayed in the extreme lower right corner. The video has the notes annotated "in-place" for easy reference too.

That is all for today. I will keep posting such analysis from time to time. I find it is easy to grasp these complex concepts when one is able to see the waveform visually along with the musical movements involving the notes.

The next article shall finally introduce the concept of a Raag. You might be One might wonder why Raags were not introduced earlier, but believe me without these basic chapters on classical music, it is very difficult to understand the concept of Raag. Hopefully my explanation would make sense then!

Hindustani Classical Music - My little understanding - Part 2 (Intonation)

In the previous article I gave a very basic introduction to Hindustani Classical Music. In this article I will talk about the "spacing" between the notes in Hindustani Classical music. "Spacing" means the difference of frequency between each successive notes. This is a bit complex to explain. I will keep it very simple. Let us begin!

"Intonation" is the word used to describe what I remarked above as "spacing". Intonation in music can be classified broadly as "equal tempered" or "just intonation". (This is a vast research topic. Just Google it!)

In equal tempered, the notes are spaced by a constant factor. That means, if say the constant is "1.059463", and the frequency of "Sa" is selected as 440 Hz, then the "Komal Re" will be (440 Hz *  1.059463 = 466.163 Hz). Similarly if I want to get "Shudha Re" then we multiply with a factor of  (1.059463 * 1.059463) to 440 Hz. Now, what is so special about "1.059463"? It is the 12th root of 2. There are 12 notes in an octave and the 13th note should be double the frequency of the 1st note. 440 Hz is what most western instruments tune to (as their note A4). Why the special treatment? You can read more about this here and here.

Please note, the notes in Hindustani Classical are not tuned (equally spaced) like how it is mentioned above. Though, if one uses a keyboard or (even a harmonium) they would "not" be playing the exact "re" if they played the key after the chosen "Sa" key. (There are other limitations of equal tempered instruments that do not adjust well with the Hindustani classical music. "Andolan (gentle oscillations around a note)", "Meend (slide from one note to another note)" cannot be performed in these instruments. More on these in a later post.) So how are the notes in Hindustani Classical spaced? Come, "just intonation".

Just Intonation, uses the concept of "ratios" between each notes. One broader way to define the ratios between each note in Hindustani Classsical is given below:

One possible ratios for Hindustani Classical notes

Please note that, there exists no single ratio system in Hindustani Classical listed in our texts that can be taken as final. In fact, in certain "Ragas" the ratios are definitely altered. But the above table does help us to get a working assumption (and a very closed assumption too). In fact, there is research done that specifies the ratios between all the 22 shrutis. Check here.

So assuming the above table, if we select 440Hz as our "Sa", then "re" would be 440 Hz * (16/15) =  469.333 Hz. "Re" would then be 440 Hz * (9/8) = 495 Hz. And "Pa" would be 440 Hz * (3/2) = 660 Hz. And "Sa." (of the next Saptak/octave) would be 440 Hz * (2/1) = 880 Hz.  Similarly, .Sa (of the lower octave) will be 440 Hz * (1/2) = 220 Hz. It should be noted that whatever be the ratios, "Pa" is always 1.5 times the frequency of "Sa" in an octave. There is some good reason too for the ratios in this fashion. You can read it here.

Enough of theory! Let us try something practical. So, below, I have an audio clip, where the singer sings all the 12  notes of the sargam in an octave. We will try to verify that the ratios that we have defined are actually true, when the performer performs. For this, I will use a software, called Sonic Visualiser.  The screen can be intimidating at first. So some explanation is required. Consider the figure below:

Right click and open the image in separate window to view the text

This is a screen grab from Sonic Visualiser. The screen above shows the fundamental frequency of the audio clip and its harmonics. We will concentrate only on the fundamental frequency spectrum here (The lowest frequency spectrum in the above graph, in orange). The X-axis is time an the Y-axis is the frequencies. As expected, since the singer is singing from "Sa" to "Ni" the frequency graph is seen in an ascending graph. I have written a software code that works upon this layer in S.V. and calculates the Hindustani Note using the ratios in the table above at any instance of time. This Hindustani note can be viewed in the lower right corner along with the corresponding western note. The "Sa" in this case is at 130 Hz.
Below presenting the video grab of the S.V. output. As you listen to the "AAaa"s of the singer, keep an eye on the lower right corner to check the Hindustani Note that is detected  based on the table of ratios I shared  above. My software code allows for a deviation from 2% in the frequencies. So with the above "Sa" at 130 Hz, I will report a "Sa" for any frequency between 127.4 Hz to 132.6 Hz. We need to allow a small deviation to take the human factor into consideration.

In the next post I will describe the concept of "Taal" in Hindustani Classical music.