A Jhaptal Tihai That Lands Two Matras Late
Rohan, a sitar candidate, has prepared an eight-minute Jhaptal item. His teacher sets a five-matra tihai phrase to be played three times and to finish on sam. Jhaptal has ten matras, with tali on 1, 3 and 8 and khali on 6. Rohan starts the tihai on matra 1 and finishes on matra 3 of the next avartan; he then proposes starting on matra 6, believing that 'starting on khali fixes it'. His friend wants him to add a one-matra pause before the final repetition. Separately, the teacher asks him to play the same five-matra phrase in dugun laya inside Jhaptal and to explain whether it can still land on sam. Rohan's written notation shows the tihai as five boxes marked 1–5, with no matra numbers, no khali marking and no indication of which repetition crosses the khali. The practical is in six days.
1. Calculate the correct starting matra for the 5×3 tihai and explain why Rohan's two attempts fail.
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A tihai of three identical 5-matra phrases contains 3 × 5 = 15 matras. If the last bol must fall on sam (matra 1), the first bol must fall 14 matras before sam. Counting sam as 1, that gives 1 − 14 = −13, which modulo 10 is matra 7. Check: starting on 7, the 15th bol falls on 7 + 14 = 21, and 21 modulo 10 = 1, i.e. sam.
Rohan's first attempt starts on 1: the 15th bol falls on 1 + 14 = 15, which is matra 5 of the next avartan, not 3. If he reports finishing on 3, his phrase is almost certainly shorter than five matras in practice, or one repetition is being rushed - a notation problem, not a counting problem. His second attempt starts on 6: 6 + 14 = 20, which is matra 10, so the tihai ends one matra before sam. Starting on khali does not 'fix' anything; khali is a position in the cycle, not a correction factor. Adding a one-matra pause before the last repetition changes the arithmetic: the total becomes 5 + 5 + 1 + 5 = 16 matras, so the start would need to be matra 6 (6 + 15 = 21 ≡ 1). The lesson is that any pause, anagat entry or extra bol must be counted in the total, not treated as free time.
2. Explain whether the same five-matra phrase, played in dugun, can land on sam, and what Rohan should do instead.
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In dugun, each tala matra contains two tihai-matra units. A five-matra phrase therefore occupies 5 ÷ 2 = 2.5 tala matras, and three repetitions occupy 7.5 tala matras. Half a matra cannot coincide with sam in a ten-matra cycle, so the tihai cannot end cleanly on sam if the phrase is kept exactly as written. This is a structural problem, not a speed problem: doubling the laya halves the duration but does not change the 5:2 relationship.
Rohan has three sensible options. First, keep the phrase and change the tihai length: a four-matra phrase played three times gives 12 tala matras in dugun, which is 12 ÷ 2 = 6 tala matras; starting at matra 5 gives 5 + 11 = 16 ≡ 6, not sam, so the arithmetic must be recalculated before choosing. Second, compose a fresh dugun tihai whose total, measured in tala matras, is one less than a multiple of 10; for example, a phrase of 3 tala matras repeated three times = 9, starting at matra 2 and ending on sam. Third, use a 5-matra phrase but play it three times at barabar and reserve dugun for a different passage, such as a palta, where exact sam alignment is not required.
The answer sheet should show the conversion explicitly: number of tala matras = (number of phrase matras × repetitions) ÷ laya multiple. A tihai that 'almost' lands is worse than a simpler one that lands exactly, because the examiner hears the sam, not the intention.
3. Rewrite Rohan's notation for the barabar tihai with matra numbers, khali marked, and the crossing identified. What notational habits should he change?
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The notation should read, with each phrase bracketed and each bol assigned a matra:
- Repetition 1: 7, 8, 9, 10, 1
- Repetition 2: 2, 3, 4, 5, 6
- Repetition 3: 7, 8, 9, 10, 1 (sam)
Khali (matra 6) falls on the last bol of the second repetition. That is legal: a tihai may cross khali, but the theka must continue and the player must not treat khali as a stopping point. If Rohan wants the tihai to avoid khali, he needs a different phrase length and must recalculate from scratch.
The notational habits to change are: (1) write matra numbers, not boxes 1–5, because boxes hide the cycle; (2) mark X, 2, 0 and 3 at matras 1, 3, 6 and 8 so khali is visible; (3) bracket each repetition and show the sam landing; (4) write the laya (barabar, dugun, aad) at the top, since the same bols mean different durations at different layas; (5) show any pause or anagat entry as counted matras, not as blank space. A useful check is to add a column 'matra after this bol' and confirm that the final entry is sam. This is the notation an examiner can audit in ten seconds, and it also protects the player from the common error of starting a tihai 'on the khali' without doing the subtraction.