school Mathematical Permutations of Rishabha, Gandhara, Dhaivata & Nishada

The 72 Melakartha ragas form a perfect mathematical matrix consisting of two symmetrical halves of 36 ragas each:

The 6 Purvanga Swara Pairs (R & G Combinations):

Chakras 1 & 7: R1 G1 (Shuddha Ri, Shuddha Ga)
Chakras 2 & 8: R1 G2 (Shuddha Ri, Sadharana Ga)
Chakras 3 & 9: R1 G3 (Shuddha Ri, Antara Ga)
Chakras 4 & 10: R2 G2 (Chatusruti Ri, Sadharana Ga)
Chakras 5 & 11: R2 G3 (Chatusruti Ri, Antara Ga)
Chakras 6 & 12: R3 G3 (Shatsruti Ri, Antara Ga)

The 6 Uttaranga Swara Pairs (D & N Combinations): Within each chakra, the 6 ragas cycle through identical D & N pairs: 1. D1 N1, 2. D1 N2, 3. D1 N3, 4. D2 N2, 5. D2 N3, 6. D3 N3.

Adding 36 to any Shuddha Madhyama raga instantly gives its Prati Madhyama counterpart (e.g., #15 Mayamalavagowla + 36 = #51 Kamavardhani / Pantuvarali).

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PHASE 01

Foundation & Riyaz

Establish stable pitch alignment or rhythmic grounding during early morning sadhana using precision visual and acoustic feedback.

PHASE 02

Gamaka & Nuance Mastery

Isolate subtle prayogas, microtonal oscillations, and cross-nadai transitions at varying kaalams without loss of laya integrity.

PHASE 03

Stage & Kutcheri Readiness

Simulate live stage acoustics, monitor pitch drift in real time, and time concert sequences with broadcast precision.

verified Key Capabilities in the Sahana Mobile App

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Comprehensive 6x6 grid mapping all 72 ragas with dual Shuddha/Prati Madhyama switch

tune

Color-coded highlights for Vivadi swara combinations (40 Vivadi Melas)

speed

Filter by Purvanga (R/G) and Uttaranga (D/N) swara criteria

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Tap any cell for instant Katapayadi Sankhya code and swara sthana cards

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High-contrast dark-mode visualization for deep acoustic study

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Audio Processing Engine 32-bit Floating Point DSP (< 12ms Latency)

Tuning Standard A4 = 432 Hz / 440 Hz / Custom Adhara Shadjam

Algorithmic Resolution 22 Shrutis & 1-Cent Microtonal Tolerance

Classical Database 72 Melakartha & Janya Ragas / 35 Talas

Platform Availability iOS 15+, Android 8+, iPadOS & Tablet Native

Offline Architecture 100% On-Device DSP (No Internet Required)

Melakartha Matrix

school Mathematical Permutations of Rishabha, Gandhara, Dhaivata & Nishada

workspace_premium Concert & Sadhana Mastery Workflows

Foundation & Riyaz

Gamaka & Nuance Mastery

Stage & Kutcheri Readiness

verified Key Capabilities in the Sahana Mobile App

settings_suggest Technical Architecture & Precision Benchmarks

Master Carnatic Music with Sahana Sabha

school Mathematical Permutations of Rishabha, Gandhara, Dhaivata & Nishada

workspace_premium Concert & Sadhana Mastery Workflows

Foundation & Riyaz

Gamaka & Nuance Mastery

Stage & Kutcheri Readiness

verified Key Capabilities in the Sahana Mobile App

settings_suggest Technical Architecture & Precision Benchmarks

hub Explore Allied Tools in the 23-Tool Suite

Melakartha Chart

16 Swaras & 12 Positions

Grahabedham View

Master Carnatic Music with Sahana Sabha