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Algorithm For Identifying the Notes

Step 1: Convert the music segment into frequency domain

Because our recorded music files are chopped into fixed finite length segments, all we have to do is apply DFT to the sample. Considering speed of computation, we decided to use the method of computing with the DFT matrix .

We know that DFT samples are defined by

,

Where

Thus can be expressed in matrix form as

Where

By using the matrix method to compute the DFT, we can calculate the DFT of many pieces of same length and same sample rate music segments at the same time using the same matrix. This will increase the overall speed of our program and enable tune identification for lengthy music that consists of thousands of segments to be analyzed.

Step 2: Find the peaks in the frequency domain representation of the segmented music. Identify the peaks whose frequencies are near integer multiples of each other and group them into the same category.

We know that notes played by instruments have harmonics which the frequencies are integer multiples of the base frequency. Often the note that’s being played is the base frequency or the first odd harmonic of the base frequency. Thus, peaks which frequencies are near integer multiples of each other indicate that they are mostly likely to be the harmonics of a base frequency and the note that’s being played lies within it.

To identify the harmonics we used findpeaks function in Matlab and grouped them in a matrix which the i-jth entry is the frequency of the jth peak over the frequency of the ith peak. We then look for near integer entries in the matrix to determine peaks whose frequencies have integer multiples relationship and categorize them together. The peak with the lowest frequency in each category is the base band while the other peaks in the same category are its harmonics.

Step3: Use the power of peaks to determine the most significant categories.

Because there may be noise and other random vibrations when an instrument is played, there are categories which do not contain the note that’s played by the instrument. On the other hand, when multiple notes are played at the same time (aka a chord), there may be multiple categories which contain notes that are played. To correctly analyze the notes that are being played, we pick out the category which has the most power and categories whose powers are larger than one-tenth of that. The way we calculated the power of each category is by summing up the power(frequency*peak^2) of all the harmonics in that category. After this process, ambient noise and vibrations should be excluded and the remaining categories should contain the notes that are being played.

Step 4: Determine the notes that lie in each category.

Mostly, the base frequency of each category is the note that’s played by the instrument. However, we’ve learned that the note played by some instruments is either the base frequency or the first odd harmonic of the base frequency. To determine which note is being played, we compared the sum of the power of odd harmonics versus the sum of the power of the even harmonics in each category. When the power of even harmonics is larger than a certain times of the power of the odd harmonics, we say that the note is the base frequency; otherwise, we say that the note is the first odd harmonic of the base frequency.

Questions & Answers

what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
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Adin Reply
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Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
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Adin
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Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
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Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
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Damian Reply
absolutely yes
Daniel
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it is a goid question and i want to know the answer as well
Maciej
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Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
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Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
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s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
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Source:  OpenStax, Tune identification. OpenStax CNX. Dec 20, 2011 Download for free at http://cnx.org/content/col11399/1.1
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