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23 September 2022 | Story Anthony Mthembu | Photo iFlair Photography
Umakhoyane
Umakhoyane: Indigenous South African instrument affiliated with the Zulu tribe.

According to Dr Absolum Nkosi, Senior Lecturer in the Odeion School of Music at the University of the Free State (UFS), “ancient traditional instruments form part of the African heritage”. As such, with Heritage Day upon us, it is imperative to highlight these South African indigenous musical instruments. 

Some of the most prominent South African musical instruments currently in the possession of the UFS, include uhadi and umakhoyane, also referred to as ugubhu. At first glance, one would think that these instruments are the same. This would not be an incorrect assumption. In fact, these instruments share similarities in terms of purpose and how they have been used throughout their existence. 

Similarities and differences between the instruments
For instance, both uhadi and umakhoyane (ugubhu) are instruments traditionally played by women. Dr Nkosi maintains that songs accompanied by any of these instruments are usually personal, as they cover topics such as love, family, and relationships. Furthermore, the songs that were sung with the assistance of these instruments, were also about a reflection of the individual’s mental state. As such, the fact that both instruments have a very soft sound aided in that reflective process. 

However, there are key variations between these instruments. Uhadi is a single-string acoustic bow affiliated with the Xhosa tribe, whereas umakhoyane is a single-string acoustic bow affiliated with the Zulu tribe. In addition, umakhoyane possesses a bridge in the middle that uhadi does not. Furthermore, there is also a difference in the sound produced by the two instruments. “Uhadi produces one sound when it is played with the string openly without touching it; you can then get the second sound by pinching and releasing the string using the index finger and a thumb. However, umakhoyane produces two notes when playing the string on the upper and the lower level. The bridge in the middle of the string divides it into an upper part (low tone) and a lower part (high tone),” Dr Nkosi indicated.  

It is imperative to note that these instruments have adapted over time. In fact, they have been used in genres such as Jazz and contemporary Afro music. Therefore, Dr Nkosi believes that the preservation of these indigenous instruments is essential, as it keeps the African musical identity alive. 

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Dr Abdon Atangana cements his research globally by solving fractional calculus problem
2014-12-03

 

Dr Abdon Atangana

To publish 29 papers in respected international journals – and all of that in one year – is no mean feat. Postdoctoral researcher Abdon Atangana at the Institute for Groundwater Studies at the University of the Free State (UFS) reached this mark by October 2014, shortly before his 29th birthday.

His latest paper, ‘Modelling the Advancement of the Impurities and the Melted Oxygen concentration within the Scope of Fractional Calculus’, has been accepted for publication by the International Journal of Non-Linear Mechanics.

In previously-published research he solved a problem in the field of fractional calculus by introducing a fractional derivative called ‘Beta-derivative’ and its anti-derivative called ‘Atangana-Beta integral’, thereby cementing his research in this field.

Dr Atangana, originally from Cameroon, received his PhD in Geohydrology at the UFS in 2013. His research interests include:
• the theory of fractional calculus;
• modelling real world problems with fractional order derivatives;
• applications of fractional calculus;
• analytical methods for partial differential equations;
• analytical methods for ordinary differential equations;
• numerical methods for partial and ordinary differential equations; and
• iterative methods and uncertainties modelling.

Dr Atangana says that, “Applied mathematics can be regarded as the bridge between theory and practice. The use of mathematical tools for solving real world problems is as old as creation itself. As written in the book Genesis ‘And God saw the light, that it was good; and divided the light from the darkness’, the word division appears here as the well-known method of separation of variables, this method is usually employed to solve a class of linear partial differential equations”.

“A mathematical model is a depiction of a system using mathematical concepts and language. The procedure of developing a mathematical model is termed mathematical modelling. Mathematical models are used not only in natural sciences, but also in social sciences such as economics, psychology, sociology and political sciences. These models help to explain systems and to study the effects of different components, and to make predictions about behaviours.”

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