Using Lulwah Al Hamouds Vedic system I used the table to help develop my ideas and further research patterns of geometry that i could use to create a sonic geometric spatialisation piece.
- * “Its (the vedic square) properties were known to the people of Northern India
many centuries ago and it was the basis of a whole
mathematical system. In AD 770 the Muslims incorporated
it into their system of mathematical knowledge. It is from
them that our knowledge has developed. Some of the
properties of the square led to the discovery of systems
which formed the basis of the intricate patterns and designs
which are now familiar to us as examples of Islamic Art.”
It consists of a 9×9 grid where numbers from 1 to 9 are arranged in such a way that each row and column contains each of these numbers without repetition. The Vedic Square has various applications, and one notable application is in geometry and the construction of “Magic Squares.” A Magic Square is a square grid of numbers where the sums of the numbers in each row, column, and both main diagonals are the same. The Vedic Square serves as a foundation for constructing these Magic Squares. In a circular form however we can translate the numbers of the vedic square 1-9 as shown in the video below allowing for complex geometric patterns.
I used this technique to translate the above into multi-channel points for my piece allowing me to translate numeric values from the Abjad number system into the Vedic system – using it as a map in which to place MIDI instrumentation.
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(Jstor.org, 2023)
*Jstor.org. (2023). Mathematics and Islamic Art on JSTOR. [online] Available at: https://www.jstor.org/stable/30214622?seq=1 [Accessed 6 Nov. 2023].