Karthik Srinivasan on Nostr: npub1knzsu…ac73p That's fantastic, thanks a lot! I will definitely think about the ...
npub1knzsux7p6lzwzdedp3m8c3c92z0swzc0xyy5glvse58txj5e9ztqpac73p (npub1knz…c73p)
That's fantastic, thanks a lot! I will definitely think about the restricted group action and tonic change as morphism.
On the Z/7 thing, while the Melakarta raga might not exist: For example with the Ionian, with the invalid one with 2 fourth intervals and no fifth interval for the Ionian cycle group, it is not a melakarta raga, but what is called as "dwi(two) madhyma (ma/fourth) panchama (pa/fifth) vajra(extinguished)" raga called "Hanumasri" (S R1 G2 M1 M2 D1 N2 S')
These dwi-madhyama-panchama-vajra basically collapses the 72 into 36 (i.e., two fourths, and no fifth). So we may still be able to classify it as acting on Z/7 (for the Ionian cycle atleast) if the objects of the groupoid are not just restricted to the Melakarta. With this we can have 108 scales, instead of 72 that complete the scheme.
If you need any help with deciphering indian musical scales /terminologies etc., that might help with your classification/mathematization, please let me know, happy to help.
That's fantastic, thanks a lot! I will definitely think about the restricted group action and tonic change as morphism.
On the Z/7 thing, while the Melakarta raga might not exist: For example with the Ionian, with the invalid one with 2 fourth intervals and no fifth interval for the Ionian cycle group, it is not a melakarta raga, but what is called as "dwi(two) madhyma (ma/fourth) panchama (pa/fifth) vajra(extinguished)" raga called "Hanumasri" (S R1 G2 M1 M2 D1 N2 S')
These dwi-madhyama-panchama-vajra basically collapses the 72 into 36 (i.e., two fourths, and no fifth). So we may still be able to classify it as acting on Z/7 (for the Ionian cycle atleast) if the objects of the groupoid are not just restricted to the Melakarta. With this we can have 108 scales, instead of 72 that complete the scheme.
If you need any help with deciphering indian musical scales /terminologies etc., that might help with your classification/mathematization, please let me know, happy to help.