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How Mathematics Shaped India’s 72 Raga Scale System

How Mathematics Shaped India’s 72 Raga Scale System

Indian classical music uses just 12 notes, yet it has produced thousands of ragas, each with its own mood, rules and time of performance. Two musicologists, working about 250 years apart in different traditions, tried to calculate the possible scale combinations. The southern system identified 72 parent scales, while the northern system counted 32 and retained 10 as core frameworks. This edition of Science of Sound examines the mathematics behind these classifications and why ragas cannot be understood by note combinations alone.

https://en.wikipedia.org/wiki/Raga
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N
noah

How do musicians keep track of each raga's mood, rules, and performance time when the system starts from only 12 notes?

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Y
yemi

Exactly, it is wild how a small note set can bloom into such a rich musical map.

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I
isa

It is striking that mathematical combinations can support thousands of musical identities without making them feel interchangeable.

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G
grace

Counting possible scales is interesting, but the calculation alone probably cannot explain why a raga carries a particular mood or tradition.

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P
prince

A simple comparison chart of notes, rules, mood, and time of performance would make this system much easier for newcomers to follow.

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