Muthuswamy dikshitar
You are the most charming mistress of Your beloved. You are naturally situated at the topmost level of successive greatness and Your divine qualities are imperceptible to ordinary senses or minds. You are a permanent resident of the holy abode of Sri Vraja. You radiate a most influential aura. You naturally wear a pleasant smile.
You are the very potency of divine pleasure. Your speech is such that whoever hears it becomes lovingly attached to it. Your breasts are crazed with the wildest desire to be satisfied by Your Beloved.
Radhe krishna radhe syama sastri samadhi
You are endowed with such bodily limbs that each and every aspect of them is very captivating. Your beauty is indeed saturated with an all-pervading, overflowing rasa current. Your chest is beautifully endowed with majestic divine opulences. You are celebrated with the most blessed name of Radha! This is Radha-bhava or gopi-bhava, which is the goal that Gaudiya Vaisnavas hope to attain by living in Vrndavana.
Syama sastri compositions: We are provided with this maha mantra in our Gaudiya sampradaya and the message is passed in the bona-fide disiplinic succession, starting from Caitanya Mahaprabhu, who is none other than Krsna himself (in the mood of Srimati Radharani), who appeared in the material world to teach how to be a Vaishnava.
Radha-bhava or gopi-bhava. And this is the goal that all Gaudiya Vaisnavas hope to attain, especially by residing in Vrndavana. The two syllables Ra, Dha contain all divine knowledge vidya para dva akshara. Even once chanting of Radha nama will immediately attract Sri Krishna japa sakrd gokulapati akarshaka. But today she did not relent.
Radhe krishna radhe syama sastri samadhi song
Later, while Yashodha was inside the house churning butter, Krishna thought her anger was over, so he tried to go and pull her sari to make peace with her. I have been so kind to them today. Otherwise they would have had to walk naked in broad daylight. I gave them back their clothes. Why so much anger?
Tyagaraja
Women have some funny ways about their clothes! Then Krishna thought she was going too far. I was good to these women and they complained out of their ungratefulness. When Yashodha got up to attend to some other errand in the kitchen, Krishna went straight to the butter pot and not only picked and ate the butter, he broke the pot and taking all the butter in his hands, he went out and called the monkeys.
He sat on a large pounding wood that was there and gave them butter. They happily ate all of it while spilling a lot on the floor. When Yashodha came and saw the butter pot broken, she was so angry and now she knew what he has been doing around the village. She got a rope, caught hold of Krishna and tied him up to the pounding wood he had been sitting on.
You are going too far. When will you change? Initially, Krishna cried and tried to get her attention but Yashodha did not relent. Then he got angry. Using all his strength he just dragged the heavy pounding wood, which would normally not have been possible for a child of seven, and went on. It was the middle of the afternoon and all the village folk were busy with their work so there was no one who could help him.
He just dragged it on and went towards the forest because all the cowherds, his friends and the elders, would be there in the forest. Above all, he wanted to teach his mother a lesson for being unreasonably angry.
Radhe krishna radhe syama sastri samadhi status
In this method, we might want more time than what we might actually have in this human birth and in the age of Kali. The second method of learning and understanding is "decscending" - where we accept and submit ourselves to the words of the bona-fide guru, who is kindly passing on the mantra, process, message, etc.
This is the best method. Our senses are limited and imperfect and hence ascending method of understanding might lead us to more questions than what we can analyze and understand. Our only work in the human life is to try to go back to God head.
This is possible by the method mentioned by our gurus. The other forms of the maha mantra you have mentioned, could be in practice in other sampradayas, pardon me my ignorance, I am not aware of it. If it is mentioned by any guru in any Vaisnava sampradaya, it must be valid.