Meend or Gamaka
Moving from one note to the other in a smooth manner is called Gamaka or Meend. In English it is called slide or glissando. In this process the pitch is gradually changed without stopping on any shruthi, but all in between shruthis are covered. This is a peculiarity of Indian music. In general, Carnatic uses frequent and heavy Gamakas, while in Hindustani the usage is limited.
Some Raagas require the use of Gamakas esp. during alaap and taans. For eg. in Darbari Kanada the Aarohana is given as S R g ^^^, m P d ^^n S' , where ^ represents meend. Here while moving between Komal Gandhara (g) and Shudh Madhyama (m), meend or gamaka is employed. Also between Komal Dhaivath (d) and Komal Nishad (n). Sometimes, the meend is done such a way that the artist comes back to the same note he started with after touching the adjacent note. For eg. m^^^g^^^m-R-S is the Pakad of Darbari Kanada. Here the pitch first continuously lowers from Shudh Ma to Koaml Ga and then raises back to Shudh Ma, before falling off to Shudh Ri and Sa.
In Carnatic more elaborate system of gamakas are used. Every raaga has a set of permissible gamakas. Various shakes, graces, ornaments and embellishments are used. Infact, except for Sa and Pa, almost every note has some kind of gamaka associated with it. To a first time listener, the primary difference between Hindustani and Carnatic is the abundance of Gamakas used in carnatic. For example, in Raaga Mohana two Gamakas are allowed in the Aarohana. The default gamaka for "ri" is Sa^^Ga^^Ri i.e. starting from Sa the pitch is increased all the way to Ga and then lowered to Ri. Also, this whole thing needs to be done in the time frame used for one the note Ri. Similarly the gamaka for Dha is Pa^^Sa^^Dha. No gamakas are allowed for Ga (and Sa and Pa as always). Also, for Ri, an artist might fit in Sa^^Ga^^Ri^^Ga^^Ri if the tempo is slow.
Mohana - S R2 G3 P D2 S S D2 P G3 R2 S S^^G3^^R2, P^^S^^D2 Sa^^Dha, Pa^^Ga, Ga^^Ri
For Avarohana different Gamakas are allowed - Sa^^Dha, Pa^^Ga and Ga^^Ri.
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