A chakradaar includes a tihai-containing tukda which is repeated 3 times in order to land on the sum. It is essentially a tihai played 3 times.
Chakradaars are fixed compositions. Many chakradaars have khula baaj bols and can also be found in presentations of kathak. Although most chakradaars are composed in teentaal, if the number of maatras in the chakradaar is a multiple of some other taal maatra, then the chakradaar may be played in the other taal as well. For example, an 80 maatra chakradaar may be played in both teentaal and jhaptaal. Additionally, a chakradaar composed in teentaal may be converted to any other taal by increasing or decreasing the time duration of the pauses between the 3 sections. Apart from 32 maatra and 64 maatra chakradaars in teentaal, all other chakradaars are usually played in baraabar laya. Each of the 3 individual tihais or sections of a chakradaar is sometimes called a "chakra". Because of its long, anticipatory, and exciting nature, the last few compositions played in a solo performance are often chakradaars.
A regular chakradaar, a tihai played 3 times to arrive on the sum.
A farmaishi chakradaar is a chakradaar of which the "dha" of the first section of the first tihai lands on the sum, the "dha" of the second section of the second tihai lands on the sum, and the final "dha" also lands on the sum.
The word "kamaal" means amazing or skillful. Similarly, a kamaali chakradaar is skillful and even more intricate than a farmaishi chakradaar. It involves unique mathematical calculations and patterns. A kamaali chakradaar incorporates 27 "dhas", of which the 1st dha of the 1st section lands on the sum, the 14th dha of the 2nd section lands on the sum, and the 27th and last dha of the 3rd section lands on the sum. Each of the 3 tihais or "chakras" of a kamaali chakradaar requires 9 "dhas". Each of the 3 tihais or "chakras" of a kamaali chakradaar requires 9 "dhas".
In other words, there are 3 sections. There are 3 tihais within each section. There are 3 "dhas" in each tihai. The 1st dha of the 1st tihai of the 1st section lands on the sum. The 2nd dha of the 2nd tihai of the 2nd section lands on the sum. The 3rd dha of the 3rd tihai of the 3rd section lands on the sum.
8 Maatra Method
Often times, tabla players will treat teentaal as a 8 maatra cycle in order to compute big chakradaars easily. With this being said, each chakradaar we calculate with the 8 maatra method will actually be twice as many maatras when played. If this is the case, then a 18 maatra tihai played thrice, with a 1 maatra pause, will equal 56 maatras, fitting in 7 awartans of actual teentaal. A 56 maatra chakradaar, also fits in rupak, ada-chautaal, and dhamaar because 56 is a multiple of 7. However, not all chakradaars that are farmaishi in teentaal will remain farmaishi in other taals. A 26 maatra tihai would equate to 80 maatras, fitting 10 awartans of actual teentaal. This conversion cycle of treating teentaal as a 8 maatra cycle is also beneficial in drut laya where it is harder to count the individual maatras.
In the first example above, we calculated a 18 maatra tihai with a 1 maatra pause, meaning 56 maatras. If the pause is increased to 3 maatras, then we get a 60 maatra chakradaar, conveniently fitting in jhaptaal (60/10 = 6), ektaal (60/10 = 6), and pancham sawari (60/15 = 4). Keep in mind that this 60 maatra chakradaar is actually 120 smaller maatras when played because 60 big maatras times (2 smaller maatras per 1 big maatra) is 120 smaller maatras. (We are still using the 8 maatra method as discussed above). This way, we are able to convert chakradaars into our desired taal.
In a nauhakka, a phrase is played with nine times, with 8 equal pauses in between.
Example: tite kata GD GN (4 maatra) with a pause of dhaS ne (1.5 maatra) will fulfill (4 times 9) + (1.5 times 8) = 36 + 12 = 48 maatras = teentaal. This nauhakka can be played in drut teentaal if "titekataGDGN" is treated as 4 small maatras. A misconception is that if a tihai is played thrice, it becomes a nauhakka, but this isn't always true because the 8 pauses in between the 9 phrases need to all be of equal length.