Kathmanud University
School of Education
Third Semester
Ethnomathematics
Project work = ; &n= bsp; = ; &n= bsp; = ;
Krishna Gaire
Bashu Dev Pokhrel
Dinesh Silwal
&nb= sp; = &nb= sp; = &nb= sp; &nb= sp; =
Title of the work: Mathematics within Nepalese Musical Instrument.
Hypothetics : We will find the uses=
of
mathematics in musical instrument. As much as possibli we will try our best=
to
link the sound and body structure of the instrument. For this purpose we st=
art
our from the instrument MADAl
Which is typical nepa= li musical instrument.
Our work goes like this way.
Background<= /b>
<= /p>
There are many things in our society which are cultura= lly related. Such things has their own cultural value and norms. Duering the studing of ethnomathematic paper we tried our best to find the hidden mathe= matics every where. After reading this paper we felt sush that there is mathematics every where.
But the peroblem is that we can see or not. This time = we have taken our typical nepali musical instrument as our studing area. Altho= ugh there are many musical instrument but at first we will discuss about “MADAL”.
Introduction
Typical = Nepali Musical Instruments and….
Music is the result of artf=
ul
arrangement of sounds across time. Music is part of virtually every culture=
in
the world, but it varies widely among cultures in style and structure. Most=
of
the Nepal’s population still lives in villages, and although change is
increasingly noticeable, many old traditions remain unchange. In most of th=
ese
villages, men and women are segregated in song and dance, having independent
repertoires and occasions for performance. Nepalese people sing songs with
varies musical instruments in different occasions like at weddings,
childbirths, and festivals, and during agricultural and household activitie=
s.
Use of different musical instruments depends according to the particular
occasions. Some of the typical musical instruments are very popular among
Nepalese people which are used widely throughout the country.
‘Madal’ is one of such musical instrument.
v
Mathematics with in MADAL
= &nb= sp; = &nb= sp; = &nb= sp; Structure of madal
The shape of madal is near to the cylinder. It has uni= que shape. Its shape is same as the shape of our drinking glass. Its shape is called frustum. The frustum is the solid object in between the two parallel plane. We can link our understwanding as if we cut the some part of curcical cone in such a way that the cutting part is parallel to the circular base. = Then the remaining object is called frustum.
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= &nb= sp; Cone = ; &n= bsp; = ; &n= bsp; Frustum
As we see the local instrument MADAL is the one exact example of frustum.
Duering our visit and discussing to the related/concer=
ned
people it is found that generally the length of the madal is about 39.5cm. (
but due to their small or big shape it may change ) It is found that the le=
ngth
of madal, diameter of its big face and diameter of small face are in =
the
ratio 20 : 6 : 5
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Length o body ( cm) = Big face( its diameter cm) Small face (= its diameter cm ) are in the ratio =3D 20 : 6 : 5