The Jhaptaal Tihai That Lands on Matra Three
During a practical tala recitation, a candidate announces a tihai in Jhaptaal (10 matras) that will “end on sam.” The candidate recites a four-matras phrase-dha ge na ti-three times without a gap, starting on matra 2. The teacher counts: the third repetition finishes on matra 3 of the next cycle. The candidate says the last “ti” is loud, so it should count as sam. The examiner has warned that a tihai must land on sam, not merely sound emphatic. The candidate has four weeks before the exam and can practise 15 minutes daily. The school’s tabla player is available twice a week. The candidate also marks khali with a clap instead of a wave. The teacher must decide whether to keep the four-matras phrase, change the starting matra, or change the phrase length.
1. Show with matra counting why the current tihai does not end on sam, and give two valid corrections with the arithmetic.
Read the worked answer
Jhaptaal has 10 matras. The phrase is four matras and is repeated three times, so it spans 12 matras. Starting on matra 2, the three statements occupy 2–5, 6–9, and 10–3. The final syllable falls on matra 3, not on sam (matra 1). A loud “ti” does not change the matra. For a tihai starting at S with phrase length L, the last matra is S + 3L − 1; to land on sam, S + 3L − 1 ≡ 1 (mod 10), so S + 3L ≡ 2 (mod 10). Two valid corrections: (a) keep L = 4, so 3L = 12 ≡ 2; then S ≡ 0 (mod 10), i.e. start on matra 10. The statements run 10–3, 4–7, 8–10–1, and the last matra is sam. (b) change to L = 3, so 3L = 9; then S ≡ 3 (mod 10), i.e. start on matra 3. The statements run 3–5, 6–8, 9–10–1, ending on sam. A third option, L = 2 starting on 6, also works mathematically but begins on khali, so I would avoid it for an exam.
2. Explain how the candidate should mark tali and khali while reciting a corrected tihai, and advise whether to keep the four-matras phrase.
Read the worked answer
Jhaptaal’s tali are on 1, 3 and 8; khali is on 6. The hand should clap on 1, 3 and 8 and wave at 6; the wave is not a soft clap. In correction (a), starting on 10, the first phrase crosses sam immediately, then khali at 6 falls in the second statement, and tali at 8 falls in the third. The candidate must keep the wave silent and not accent it. In correction (b), starting on 3, the first statement begins on a tali, khali at 6 falls in the second, and the final statement crosses 9–10–1. I would keep the four-matras phrase only if the candidate can start on 10 without rushing the preceding matra 9; many students rush because 10 is an upbeat. If the candidate cannot, use the three-matras phrase starting on 3. The musical test is not just arithmetic: recite with the tabla player twice a week, count aloud, and record; the tihai must sound like one sentence ending on sam, not three loud fragments.