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International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
INTERNATIONAL JOURNAL OF COMPUTER ENGINEERING &
ISSN 0976 - 6375(Online), Volume 4, Issue 6, November - December (2013), © IAEME

TECHNOLOGY (IJCET)

ISSN 0976 – 6367(Print)
ISSN 0976 – 6375(Online)
Volume 4, Issue 6, November - December (2013), pp. 161-166
© IAEME: www.iaeme.com/ijcet.asp
Journal Impact Factor (2013): 6.1302 (Calculated by GISI)
www.jifactor.com

IJCET
©IAEME

RAGA IDENTIFICATION BY PAKAD MATCHING IN NORTH INDIAN
CLASSICAL MUSIC
Trupti Katte
Department of Computer Engineering, Maharashtra Institute of Technology, Pune, India
Prof. B. S. Tiple
Department of Computer Engineering, Maharashtra Institute of Technology, Pune, India

ABSTRACT
Computational Musicology is new and emerging field of Data Mining. Raga is the most
aspect of Indian Classical Music. It consists of unique set of notes (swara) and Pakad that correspond
to a specific pitch. North Indian Classical Music has its root in Vedic ritual chants and has remained
relatively untouched. Here, we depict a system that takes audio input file, convert it into sequence of
notes and then find its most matching pattern. This pattern resembles with pakad of a raga and there
by identifies the raga.
Index Terms: Raga, Pakad, North Indian Classical Music, Swara.
I. INTRODUCTION
Indian classical music is divided into Hindustani and Carnatic classical music according to
difference between their characteristics. Hindustani classical music is Hindustani or North Indian
style of Indian classical music. It is sometimes called as Shastriya Sangeet. North Indian classical
music consists of two main elements Raga (melodic foundation) and Taal (rhythmic pattern). Raga is
popularly known as a specified combination, decorated with embellishments and graceful
consonances of notes within a mode which has the power of evoking a unique feeling distinct from
all other joys and sorrows and which possesses something of a transcendental element [1]. In other
word raga is the characteristic arrangement of notes which allow to uniquely identifying a raga.
Swara is the particular note in a music which corresponds to the unique pitch and frequency.
North Indian classical music consists of 12 swara in a scale. The three main scales used in
classical music are mandrya (lower), Madhya (middle), Taar-saptak (upper), The 12 swara viz. S, r,
R, g, G, m, M, P, d, D, n and N are originated from 7 basic swara as S, R, G, M, P, D, N. A pakad is
a characteristic phrase of a raga which allows it to uniquely identify from other. Pakad is a small
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International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
ISSN 0976 - 6375(Online), Volume 4, Issue 6, November - December (2013), © IAEME

sequence of swaras in a raga that acts as a signature for the raga and an artist often visits and
revisits the pakad over a performance [6, 10].Each raga has different pakad from other raga. Pakad is
defined as a condensed version of the characteristic arrangement of notes, peculiar to each Raga,
which when repeated in a recital enables a listener to identify the Raga being played [1]. In simple
word pakad is combination of swara sequence for a particular raga.
SWARA IN INDIAN CLASSICAL MUSIC AND IN WESTERN MUSIC
Swara name
Swara
Note
(Indian Classical Music)
(Western Music)
Shadja
S
C
Komal Rishabha
r
C#
Shuddha Rishabha
R
D
Komal Gandhara
g
D#
Shuddha Gandhara
G
E
Shuddha Madhyam
m
F
Tivra Madhyam
M
F#
Panchama
P
G
Komal Dhaivat
d
G#
Shuddha Dhaivat
D
A
Komal Nishada
n
A#
Shuddha Nishada
N
B
In this paper we wish to introduce you with some previous work. We focus on north Indian
classical Music and not on Carnatic Music and Western Music. We propose method for note
identification, then pakad identification and there by identifying a raga.
II. PREVIOUS WORK
Very less work has been done in the area of applying computational musicology for the North
Indian Classical Music[1]. Of special interest for our work is work done by Gaurav Pandey, Chaitanya
Mishra, and Paul Ipe [1], Prasad Reddy P.V.G.D, Tarakeswara Rao, Dr. K. R. Sudha, Hari
CH.V.M.K, [4], Prasad Reddy P.V.G.D, Tarakeswara Rao,[5]. In their work Raga has been modeled
as a finite automata using Hidden Markov Model, which were constructed using information available
for particular raga in classical music. And this methods were enhanced using string matching methods
with the use of pakad as a string. This approach was used for raga identification by providing some
training of raga samples to Hidden Markov Model and after training use the system build from
training each raga by HMM for raga recognition. Gopala Koduri, Sankalp Gulati, Preeti Rao [3]
provided survey of different raga identification techniques and one of them constitutes techniques
constructed by [1]. These techniques require more amount of time in training HMM for a particular
raga and then using it with pakad matching algorithms. Instead of these direct pakad matching can be
better way for faster recognition of a Raga.
It is most acceptable that “Pakad” is a catch phrase of a raga and each Raga has its unique
and different pakad from other Raga [5]. Most people especially trained person have capability to
identify a Raga being played by identifying pakad of a raga. Most of the time, pakad is not occurred
as a continuous string sung in a raga. So pakad can be occurred in breaks and there is need to handle
such sub string of pakad for identifying a raga. Since Pakad is very important part of performance in
itself, a standard string matching algorithms are not guaranteed to work for pakad substrings. The
approximate string matching algorithm designed by Costas S. Iliopoulosy and Masahiro Kurokawaz
[2] with scope of bounded gaps for musical melody can be useful and more appropriate. The another
162
International Journal of Computer Engineering and Technology (IJCET), ISSN 0976
0976-6367(Print),
ISSN 0976 - 6375(Online), Volume 4, Issue 6, November - December (2013), © IAEME

algorithm modeled by Domenico Cantone, Salvatore Cristofaro, and Simone Faro [7], can also be
useful in the approximate matching of musical sequence with bounded gaps.
III. EASE OF USE
The proposed system aims at achieving an accuracy and performance. Here we depict a
system which takes input as an audio file, identifies its pitch value using praat tool convert it into
tool,
sequence of notes, then uses pakad matching methods and identifies a raga.

Block Diagram of the system
Proposed system
The main objective of paper is to develop a system which automatically detects the raga of
North Indian Classical Music. The fig.1. shows the high level diagram of the proposed system. As a
ram
first step pitch detection is applied on audio file to generate text file containing pitch of the music with
the help of praat tool. After that note identification is applied on that pitch file to generate sequence of
swara/ note used in that audio file. This sequence of swara is given to pakad matching as a string of
note to identify the corresponding raga of music or audio file.
The TABLE 2 shows the example of some ragas along with their pakad and collection of
swaras in that raga.

Raga
Bageshree
Bhairav
Bhup
Durga

SWARA IN INDIAN CLASSICAL MUSIC AND IN WESTERN MUSIC
Swaras
Pakad
S, R, g, m, P, D, n, S’
S, r, G, m, P, d, N, S’
S, R, G, P, D, S’
S, R, m, P, D, S’

‘D‘nSm – gRS,nD mPD mg
mg-mgRS
Gm d-dP, m Gm r
dP,
r-S
S RG R G-RG RPG-RG SR ‘DS
mPDP D-mRP- mR‘DS

Note Identification
The note identification is the most important step in raga identification. If this step fails
remaining all step for raga identification will be get failed. In North Indian classical Music notes/
swara are allowed to spread over time for long duration in any composition, which complicate the
l
task of note identification for North Indian Classical Music. In this step we present the some
heuristic based on pitch of the input audio sample, which we used to determine notes from input
sample. The pitch behavior allows us to identify note by using pitch features generated from pitch
identification step.
The two heuristics based on pitch and execution time of performance are given below:
1) Pitch Slope Reversal Heuristic
This heuristic is based on the pitch feature of the music. It identifies the notes of the music
based on hill and peak occurring in the pitch graph for corresponding music sample. The pitch for the
given music sample is generated with the help of pitch detection tool as praat. A sample pitch graph
obtained for an audio file from praat tool is given in fig.2 below.
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International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
ISSN 0976 - 6375(Online), Volume 4, Issue 6, November - December (2013), © IAEME

Sample Pitch of an Audio File
Simultaneous observation of an music sample shows that note occurred at the point in a pitch
graph of music where there is complete reversal of sign of slope or peak that is when there occurs
hill after peak or vice versa. In some case note may occur at point where there is no complete
reversal of sign slope. In mathematical consider that given input audio sample is associated with
different time values t1, t2, ..., ti, ..., tn. and there corresponding pitch values are p1, p2, …, pi, ..., pn..
From this heuristic ti is the point of occurrence of a note when following equation satisfies:
౦ሺ౟శభሻష౦ሺ౟ሻ ౦ሺ౟ሻష౦ሺ౟షభሻ
ି
೟ሺ౟శభሻష౪ሺ౟ሻ ೟ሺ౟ሻష౪ሺ౟షభሻ
౦ሺ౟ሻష౦ሺ౟షభሻ
೟ሺ౟ሻష౪ሺ౟షభሻ

൐߳

(1)

Once the point of occurrence of note is found the note can be found out by its closest characteristic
pitch values. After performing this calculation for entire duration of music time we get the string of
note.

2) Note Time Length Heuristic
This heuristic is based on assumption that in a performance of audio a note continues to
occur for certain constant time span, and which depend on the type of music played. For example,
most Indian Classical music consists of a note per 25ms. K is predefined constant which maintain
the history list of last k notes identified in given music sample. The current note is accepted as a
note from given sample if and only if it is different from the dominant note maintained in the
history. Dominant note is the note which occurs more than m times in audio and value of m is
maintained as constant value. Sample value of constants k and m are 10 and 8 resp. This test allows
extending a note some time span represented by history. After performing this calculation for entire
duration of music time we get the string of note.
Pakad Matching
Pakad is unique set of note sequence for each raga. The word "pakad" means 'the catch', 'the
grip'; it 'catches' the nature and atmosphere of the raga; it gives us a way on how to best represent the
raga. The raga is best represented by using its pakad. By assuming notes of raga we can resemble
raga identification with word recognition problem and that pakad is considered as String, and
collection of its substrings. Pakad matching can be applied by using similar to that of string matching
methods. Different string matching algorithms are available. In our work, two methods for pakad
matching are introduced.

164
International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
ISSN 0976 - 6375(Online), Volume 4, Issue 6, November - December (2013), © IAEME

3) N-gram matching:
This method count the number of appearance of successive n- grams for a Pakad of a raga.
Successive n-grams of a string are its substrings which are of length n [8, 9] which starts with
beginning of the string and find the successive n-length string for given string till the end of string
reach. For example, successive 2-grams of the string wxyz are wx, xy, and yz. Also, to allow for
minor gaps between successive notes of the music, each n-gram is searched in a window of size 2n in
the parent string. Based on this method, score I is maintained and is calculated using following
formula:
‫ ܫ݁ݎ݋ܿݏ‬ൌ ∑ே ∑ெ ‫ܨ‬ሺ݆, ݅, ‫ܫ‬ሻ
(2)
௜ୀଵ ௝ୀଵ
4) ∂- Occurrence with α-Bounded Gaps
This heuristic is based on assumption that a pakad in a raga I not obtained in its complete
form of string always. The algorithm employs aspect of dynamic programming. It matches individual
notes of music, say D, and previously known complete sample of note sequence for pakad , say S.
The S will belongs to D if and only if :
• There is a maximum difference of ∂ in between the current note of sample S and the next note of
database D.
• The position of occurrence of the next note of database D in sample S is displaced from its ideal
position by at most α.
This algorithm assumes that a piece from database (D) can be declared present in a audio
sample(S) if and only if all notes of the piece (D) are present in the audio sample(S) within the
specified bounds values of α and ∂. This may not be true in our case because of some inaccuracy in
note identification and note transcription step may not be accurate. Hence, for each Raga I in the
consideration set, a given score is maintained and is calculated as follows:
ߛ‫ ܫ‬ൌ

୫ୟ୶ ሺூሻ
ேሺூሻ

,1 ൑ ‫ ܫ‬൑ ܰ‫ݏܽ݃ܽݎ‬

(3)

Where,
max(I) = maximum number of notes of Pakad found in a given sample that Raga I.
N(I) = total number of notes present in a Pakad of Raga I.
This score is used in the final determination of the Raga.
Raga Identification
Final identification of raga is done by using two steps:
• In ∂-Occurrence with α-Bounded Gaps, the score values ߛ‫ ܫ‬are sorted in increasing order and
indices are set according to following condition.
ܲሺܰ‫ݏܽ݃ܽݎ‬ሻ ൐ ܲሺܰ‫ ݏܽ݃ܽݎ‬െ 1ሻ, ܽ݊݀
ఊሺ୒୰ୟ୥ୟୱሻ–ఊሺ୒୰ୟ୥ୟୱିଵሻ
ఊሺ୒୰ୟ୥ୟୱିଵሻ

(4)

൐ ܰߟ

(5)

Then,
‫ ݔ݁݀݊ܫ‬ൌ ܰ‫ݏܽ݃ܽݎ‬
•

(6)

Otherwise, final determination is made on the basis of n-gram matching method score using
following formula, where K is a predefined constant
ை

‫ ݔ݁݀݊ܫ‬ൌ ܽ‫ ݔܽ݉݃ݎ‬ቀlog ܲ ቀఒ௜ቁ ൅ ‫ܫ݁ݎ݋ܿݏ כ ܭ‬ቁ , 1 ൑ ‫ ܫ‬൑ ܰ‫ݏܽ݃ܽݎ‬
165

(7)
International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
ISSN 0976 - 6375(Online), Volume 4, Issue 6, November - December (2013), © IAEME

IV. CONCLUSION
Thus in the given paper we introduced you with some basics needed for raga identification.
The literature review containing previous work for pakad identification area is also described in this
paper which provided us with the need and gap required to do the given work. The proposed system
consists of the different methods of which note identification is essential and the pakad matching step
provides the result for the system.
V. REFERENCES
[1]

Gaurav Pandey, Chaitanya Mishra, and Paul Ipe, “Tansen: A System For Automatic Raga
Identification”, In proc. 1st Indian Intl. Conf. on Artificial Intelligence, pages 1-9,2003.
[2] Costas S. Iliopoulosy and Masahiro Kurokawaz, "String Matching with Gaps for Musial
Melody Recognition", In proceeding of The Prague Stringology Conference, September
2002.
[3] Gopala Koduri, Sankalp Gulati, Preeti Rao," A survey of raaga recognition techniques and
improvements to the state of the art",In proc. of Sound and Music Computing,Padova, Italy,
Pages 1-4,2011.
[4] Prasad Reddy P.V.G.D, Tarakeswara Rao, Dr. K. R. Sudha, Hari CH.V.M.K, “Automatic
Raaga Identification System for Carnatic Music Using Hidden Markov Model”, In proc. of
Global Journal of Computer Science and Technology, Vol. 11,pages 1-5,December 2011.
[5] Prasad Reddy P.V.G.D, Tarakeswara Rao, “A Novel Process for Melakartha raga recognition
using Hidden Markov Models (HMM)”, In proc. of International Journal of Research and
reviews in Computer Science (IJRRCS), Vol.2, No.2, pages 1-4,April 2011.
[6] Pranay Dighe, Harish Karnick, Bhiksha Raj, "Swara Histogram Based Structural Analysis
And Identification Of Indian Classical Ragas", In proceeding of International Society for
Music Information Retrieval, September 2013.
[7] Domenico Cantone, Salvatore Cristofaro, and Simone Faro, “An Efficient Algorithm for
δ-Approximate Matching with α-Bounded Gaps in Musical Sequences”,
[8] Kristen Felch, Yale Song, “Implementing A Music Improviser Using N-Gram Models”,
6.863J/9.611J Natural Language Processing - Final Project, Massachusetts Institute of
Technology,
[9] Peter Nather , “N-gram based Text Categorization”, In Diploma Thesis of Comenius
University, Faculty of Mathematics, Physics, and Informatics Institute of Informatics,
Bratislava, 2005.
[10] Pranay Dighe, Parul Agrawal, Harish Karnick, Siddartha Thota, Bhiksha Raj, “Scale
independent Raga Identification Using chromatogram patterns and Swara Based Features”.

166

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  • 1. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), INTERNATIONAL JOURNAL OF COMPUTER ENGINEERING & ISSN 0976 - 6375(Online), Volume 4, Issue 6, November - December (2013), © IAEME TECHNOLOGY (IJCET) ISSN 0976 – 6367(Print) ISSN 0976 – 6375(Online) Volume 4, Issue 6, November - December (2013), pp. 161-166 © IAEME: www.iaeme.com/ijcet.asp Journal Impact Factor (2013): 6.1302 (Calculated by GISI) www.jifactor.com IJCET ©IAEME RAGA IDENTIFICATION BY PAKAD MATCHING IN NORTH INDIAN CLASSICAL MUSIC Trupti Katte Department of Computer Engineering, Maharashtra Institute of Technology, Pune, India Prof. B. S. Tiple Department of Computer Engineering, Maharashtra Institute of Technology, Pune, India ABSTRACT Computational Musicology is new and emerging field of Data Mining. Raga is the most aspect of Indian Classical Music. It consists of unique set of notes (swara) and Pakad that correspond to a specific pitch. North Indian Classical Music has its root in Vedic ritual chants and has remained relatively untouched. Here, we depict a system that takes audio input file, convert it into sequence of notes and then find its most matching pattern. This pattern resembles with pakad of a raga and there by identifies the raga. Index Terms: Raga, Pakad, North Indian Classical Music, Swara. I. INTRODUCTION Indian classical music is divided into Hindustani and Carnatic classical music according to difference between their characteristics. Hindustani classical music is Hindustani or North Indian style of Indian classical music. It is sometimes called as Shastriya Sangeet. North Indian classical music consists of two main elements Raga (melodic foundation) and Taal (rhythmic pattern). Raga is popularly known as a specified combination, decorated with embellishments and graceful consonances of notes within a mode which has the power of evoking a unique feeling distinct from all other joys and sorrows and which possesses something of a transcendental element [1]. In other word raga is the characteristic arrangement of notes which allow to uniquely identifying a raga. Swara is the particular note in a music which corresponds to the unique pitch and frequency. North Indian classical music consists of 12 swara in a scale. The three main scales used in classical music are mandrya (lower), Madhya (middle), Taar-saptak (upper), The 12 swara viz. S, r, R, g, G, m, M, P, d, D, n and N are originated from 7 basic swara as S, R, G, M, P, D, N. A pakad is a characteristic phrase of a raga which allows it to uniquely identify from other. Pakad is a small 161
  • 2. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), ISSN 0976 - 6375(Online), Volume 4, Issue 6, November - December (2013), © IAEME sequence of swaras in a raga that acts as a signature for the raga and an artist often visits and revisits the pakad over a performance [6, 10].Each raga has different pakad from other raga. Pakad is defined as a condensed version of the characteristic arrangement of notes, peculiar to each Raga, which when repeated in a recital enables a listener to identify the Raga being played [1]. In simple word pakad is combination of swara sequence for a particular raga. SWARA IN INDIAN CLASSICAL MUSIC AND IN WESTERN MUSIC Swara name Swara Note (Indian Classical Music) (Western Music) Shadja S C Komal Rishabha r C# Shuddha Rishabha R D Komal Gandhara g D# Shuddha Gandhara G E Shuddha Madhyam m F Tivra Madhyam M F# Panchama P G Komal Dhaivat d G# Shuddha Dhaivat D A Komal Nishada n A# Shuddha Nishada N B In this paper we wish to introduce you with some previous work. We focus on north Indian classical Music and not on Carnatic Music and Western Music. We propose method for note identification, then pakad identification and there by identifying a raga. II. PREVIOUS WORK Very less work has been done in the area of applying computational musicology for the North Indian Classical Music[1]. Of special interest for our work is work done by Gaurav Pandey, Chaitanya Mishra, and Paul Ipe [1], Prasad Reddy P.V.G.D, Tarakeswara Rao, Dr. K. R. Sudha, Hari CH.V.M.K, [4], Prasad Reddy P.V.G.D, Tarakeswara Rao,[5]. In their work Raga has been modeled as a finite automata using Hidden Markov Model, which were constructed using information available for particular raga in classical music. And this methods were enhanced using string matching methods with the use of pakad as a string. This approach was used for raga identification by providing some training of raga samples to Hidden Markov Model and after training use the system build from training each raga by HMM for raga recognition. Gopala Koduri, Sankalp Gulati, Preeti Rao [3] provided survey of different raga identification techniques and one of them constitutes techniques constructed by [1]. These techniques require more amount of time in training HMM for a particular raga and then using it with pakad matching algorithms. Instead of these direct pakad matching can be better way for faster recognition of a Raga. It is most acceptable that “Pakad” is a catch phrase of a raga and each Raga has its unique and different pakad from other Raga [5]. Most people especially trained person have capability to identify a Raga being played by identifying pakad of a raga. Most of the time, pakad is not occurred as a continuous string sung in a raga. So pakad can be occurred in breaks and there is need to handle such sub string of pakad for identifying a raga. Since Pakad is very important part of performance in itself, a standard string matching algorithms are not guaranteed to work for pakad substrings. The approximate string matching algorithm designed by Costas S. Iliopoulosy and Masahiro Kurokawaz [2] with scope of bounded gaps for musical melody can be useful and more appropriate. The another 162
  • 3. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976 0976-6367(Print), ISSN 0976 - 6375(Online), Volume 4, Issue 6, November - December (2013), © IAEME algorithm modeled by Domenico Cantone, Salvatore Cristofaro, and Simone Faro [7], can also be useful in the approximate matching of musical sequence with bounded gaps. III. EASE OF USE The proposed system aims at achieving an accuracy and performance. Here we depict a system which takes input as an audio file, identifies its pitch value using praat tool convert it into tool, sequence of notes, then uses pakad matching methods and identifies a raga. Block Diagram of the system Proposed system The main objective of paper is to develop a system which automatically detects the raga of North Indian Classical Music. The fig.1. shows the high level diagram of the proposed system. As a ram first step pitch detection is applied on audio file to generate text file containing pitch of the music with the help of praat tool. After that note identification is applied on that pitch file to generate sequence of swara/ note used in that audio file. This sequence of swara is given to pakad matching as a string of note to identify the corresponding raga of music or audio file. The TABLE 2 shows the example of some ragas along with their pakad and collection of swaras in that raga. Raga Bageshree Bhairav Bhup Durga SWARA IN INDIAN CLASSICAL MUSIC AND IN WESTERN MUSIC Swaras Pakad S, R, g, m, P, D, n, S’ S, r, G, m, P, d, N, S’ S, R, G, P, D, S’ S, R, m, P, D, S’ ‘D‘nSm – gRS,nD mPD mg mg-mgRS Gm d-dP, m Gm r dP, r-S S RG R G-RG RPG-RG SR ‘DS mPDP D-mRP- mR‘DS Note Identification The note identification is the most important step in raga identification. If this step fails remaining all step for raga identification will be get failed. In North Indian classical Music notes/ swara are allowed to spread over time for long duration in any composition, which complicate the l task of note identification for North Indian Classical Music. In this step we present the some heuristic based on pitch of the input audio sample, which we used to determine notes from input sample. The pitch behavior allows us to identify note by using pitch features generated from pitch identification step. The two heuristics based on pitch and execution time of performance are given below: 1) Pitch Slope Reversal Heuristic This heuristic is based on the pitch feature of the music. It identifies the notes of the music based on hill and peak occurring in the pitch graph for corresponding music sample. The pitch for the given music sample is generated with the help of pitch detection tool as praat. A sample pitch graph obtained for an audio file from praat tool is given in fig.2 below. 163
  • 4. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), ISSN 0976 - 6375(Online), Volume 4, Issue 6, November - December (2013), © IAEME Sample Pitch of an Audio File Simultaneous observation of an music sample shows that note occurred at the point in a pitch graph of music where there is complete reversal of sign of slope or peak that is when there occurs hill after peak or vice versa. In some case note may occur at point where there is no complete reversal of sign slope. In mathematical consider that given input audio sample is associated with different time values t1, t2, ..., ti, ..., tn. and there corresponding pitch values are p1, p2, …, pi, ..., pn.. From this heuristic ti is the point of occurrence of a note when following equation satisfies: ౦ሺ౟శభሻష౦ሺ౟ሻ ౦ሺ౟ሻష౦ሺ౟షభሻ ି ೟ሺ౟శభሻష౪ሺ౟ሻ ೟ሺ౟ሻష౪ሺ౟షభሻ ౦ሺ౟ሻష౦ሺ౟షభሻ ೟ሺ౟ሻష౪ሺ౟షభሻ ൐߳ (1) Once the point of occurrence of note is found the note can be found out by its closest characteristic pitch values. After performing this calculation for entire duration of music time we get the string of note. 2) Note Time Length Heuristic This heuristic is based on assumption that in a performance of audio a note continues to occur for certain constant time span, and which depend on the type of music played. For example, most Indian Classical music consists of a note per 25ms. K is predefined constant which maintain the history list of last k notes identified in given music sample. The current note is accepted as a note from given sample if and only if it is different from the dominant note maintained in the history. Dominant note is the note which occurs more than m times in audio and value of m is maintained as constant value. Sample value of constants k and m are 10 and 8 resp. This test allows extending a note some time span represented by history. After performing this calculation for entire duration of music time we get the string of note. Pakad Matching Pakad is unique set of note sequence for each raga. The word "pakad" means 'the catch', 'the grip'; it 'catches' the nature and atmosphere of the raga; it gives us a way on how to best represent the raga. The raga is best represented by using its pakad. By assuming notes of raga we can resemble raga identification with word recognition problem and that pakad is considered as String, and collection of its substrings. Pakad matching can be applied by using similar to that of string matching methods. Different string matching algorithms are available. In our work, two methods for pakad matching are introduced. 164
  • 5. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), ISSN 0976 - 6375(Online), Volume 4, Issue 6, November - December (2013), © IAEME 3) N-gram matching: This method count the number of appearance of successive n- grams for a Pakad of a raga. Successive n-grams of a string are its substrings which are of length n [8, 9] which starts with beginning of the string and find the successive n-length string for given string till the end of string reach. For example, successive 2-grams of the string wxyz are wx, xy, and yz. Also, to allow for minor gaps between successive notes of the music, each n-gram is searched in a window of size 2n in the parent string. Based on this method, score I is maintained and is calculated using following formula: ‫ ܫ݁ݎ݋ܿݏ‬ൌ ∑ே ∑ெ ‫ܨ‬ሺ݆, ݅, ‫ܫ‬ሻ (2) ௜ୀଵ ௝ୀଵ 4) ∂- Occurrence with α-Bounded Gaps This heuristic is based on assumption that a pakad in a raga I not obtained in its complete form of string always. The algorithm employs aspect of dynamic programming. It matches individual notes of music, say D, and previously known complete sample of note sequence for pakad , say S. The S will belongs to D if and only if : • There is a maximum difference of ∂ in between the current note of sample S and the next note of database D. • The position of occurrence of the next note of database D in sample S is displaced from its ideal position by at most α. This algorithm assumes that a piece from database (D) can be declared present in a audio sample(S) if and only if all notes of the piece (D) are present in the audio sample(S) within the specified bounds values of α and ∂. This may not be true in our case because of some inaccuracy in note identification and note transcription step may not be accurate. Hence, for each Raga I in the consideration set, a given score is maintained and is calculated as follows: ߛ‫ ܫ‬ൌ ୫ୟ୶ ሺூሻ ேሺூሻ ,1 ൑ ‫ ܫ‬൑ ܰ‫ݏܽ݃ܽݎ‬ (3) Where, max(I) = maximum number of notes of Pakad found in a given sample that Raga I. N(I) = total number of notes present in a Pakad of Raga I. This score is used in the final determination of the Raga. Raga Identification Final identification of raga is done by using two steps: • In ∂-Occurrence with α-Bounded Gaps, the score values ߛ‫ ܫ‬are sorted in increasing order and indices are set according to following condition. ܲሺܰ‫ݏܽ݃ܽݎ‬ሻ ൐ ܲሺܰ‫ ݏܽ݃ܽݎ‬െ 1ሻ, ܽ݊݀ ఊሺ୒୰ୟ୥ୟୱሻ–ఊሺ୒୰ୟ୥ୟୱିଵሻ ఊሺ୒୰ୟ୥ୟୱିଵሻ (4) ൐ ܰߟ (5) Then, ‫ ݔ݁݀݊ܫ‬ൌ ܰ‫ݏܽ݃ܽݎ‬ • (6) Otherwise, final determination is made on the basis of n-gram matching method score using following formula, where K is a predefined constant ை ‫ ݔ݁݀݊ܫ‬ൌ ܽ‫ ݔܽ݉݃ݎ‬ቀlog ܲ ቀఒ௜ቁ ൅ ‫ܫ݁ݎ݋ܿݏ כ ܭ‬ቁ , 1 ൑ ‫ ܫ‬൑ ܰ‫ݏܽ݃ܽݎ‬ 165 (7)
  • 6. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), ISSN 0976 - 6375(Online), Volume 4, Issue 6, November - December (2013), © IAEME IV. CONCLUSION Thus in the given paper we introduced you with some basics needed for raga identification. The literature review containing previous work for pakad identification area is also described in this paper which provided us with the need and gap required to do the given work. The proposed system consists of the different methods of which note identification is essential and the pakad matching step provides the result for the system. V. REFERENCES [1] Gaurav Pandey, Chaitanya Mishra, and Paul Ipe, “Tansen: A System For Automatic Raga Identification”, In proc. 1st Indian Intl. Conf. on Artificial Intelligence, pages 1-9,2003. [2] Costas S. Iliopoulosy and Masahiro Kurokawaz, "String Matching with Gaps for Musial Melody Recognition", In proceeding of The Prague Stringology Conference, September 2002. [3] Gopala Koduri, Sankalp Gulati, Preeti Rao," A survey of raaga recognition techniques and improvements to the state of the art",In proc. of Sound and Music Computing,Padova, Italy, Pages 1-4,2011. [4] Prasad Reddy P.V.G.D, Tarakeswara Rao, Dr. K. R. Sudha, Hari CH.V.M.K, “Automatic Raaga Identification System for Carnatic Music Using Hidden Markov Model”, In proc. of Global Journal of Computer Science and Technology, Vol. 11,pages 1-5,December 2011. [5] Prasad Reddy P.V.G.D, Tarakeswara Rao, “A Novel Process for Melakartha raga recognition using Hidden Markov Models (HMM)”, In proc. of International Journal of Research and reviews in Computer Science (IJRRCS), Vol.2, No.2, pages 1-4,April 2011. [6] Pranay Dighe, Harish Karnick, Bhiksha Raj, "Swara Histogram Based Structural Analysis And Identification Of Indian Classical Ragas", In proceeding of International Society for Music Information Retrieval, September 2013. [7] Domenico Cantone, Salvatore Cristofaro, and Simone Faro, “An Efficient Algorithm for δ-Approximate Matching with α-Bounded Gaps in Musical Sequences”, [8] Kristen Felch, Yale Song, “Implementing A Music Improviser Using N-Gram Models”, 6.863J/9.611J Natural Language Processing - Final Project, Massachusetts Institute of Technology, [9] Peter Nather , “N-gram based Text Categorization”, In Diploma Thesis of Comenius University, Faculty of Mathematics, Physics, and Informatics Institute of Informatics, Bratislava, 2005. [10] Pranay Dighe, Parul Agrawal, Harish Karnick, Siddartha Thota, Bhiksha Raj, “Scale independent Raga Identification Using chromatogram patterns and Swara Based Features”. 166