Jhaptal Notation, Swapped Khali, and a Tihai That Cannot Land
A student submits written notation for a Jhaptal (10 matras) kaida and a closing tihai. The notation marks vibhag as 2+3+2+3, but the student has written khali on matra 8 and tali on matra 6. The tihai phrase is five matras long, written as dha ti ra ki ta, and it is repeated three times. The student writes the first repetition starting on matra 1 and claims that the tihai ends on sam. In the last section the student doubles the laya without changing the written matra count. The examiner asks for a corrected notation, a check of the tihai arithmetic, and an explanation of how laya change affects sam. The student must also state which matras carry tali and khali in Jhaptal.
1. Correct the vibhag, tali, and khali marking for Jhaptal and explain the error in the student's notation.
Read the worked answer
Jhaptal has 10 matras in vibhag 2+3+2+3. Tali falls on 1, 3, and 8; khali falls on 6. The student has swapped 6 and 8. Matra 6 should carry the open khali sound, and matra 8 should carry a tali accent. The vibhag grouping is correct, but the accent map is not: marking khali on 8 turns a tali into an open beat and marking tali on 6 closes the khali, so the theka's tension and release are reversed. In notation, show the vibhag lines after matras 2, 5, and 7, and label 1, 3, 8 as tali and 6 as khali. If the theka uses a dha-type bol on tali, use a tin-type open bol on 6, not on 8.
2. The tihai is five matras, repeated three times, and written to start on matra 1. Verify whether it can end on sam. If not, give the correct starting matra and show the three phrase spans.
Read the worked answer
Five matras times three is 15, which is not a multiple of 10, so starting on 1 cannot end on sam. Starting on 1, the 15 strokes occupy matras 1-10 and then 1-5, ending on matra 5. To end on sam, solve x + 15 - 1 is congruent to 1 modulo 10, so x is congruent to 7. The first repetition must start on matra 7. The spans are: phrase 1 on 7, 8, 9, 10, 1; phrase 2 on 2, 3, 4, 5, 6; phrase 3 on 7, 8, 9, 10, 1. The final stroke is on sam. Write the tihai with a rest or pickup on matras 1-6 before the first phrase, and mark the three phrase boundaries so the calculation is visible.
3. The student doubles the laya in the last section without changing the written matra count. What is the risk, and what should the examiner advise?
Read the worked answer
Doubling laya halves the real time of each matra, so a five-matra phrase becomes 2.5 matras at the new speed. If the student keeps the same written 15-matra tihai but plays it at double speed, the final stroke arrives 7.5 matras early relative to the original cycle and will not land on sam. Laya change is legitimate only if the tihai is recomposed for the new laya or if the change occurs at a section boundary with a fresh calculation. The safer advice is to keep one laya through the tihai, or to use a tihai whose total is divisible by the new matra count. The examiner should ask the student to count the tihai aloud at the written laya first, then at the doubled laya, and show where sam falls. Do not accept 'it sounds right' as a substitute for the arithmetic.