Gyration rhymes with:
administration, arbitration, calibration, castration, celebration, concentration, conflagration, consecration, dehydration, demonstration, desecration, disintegration, duration, emigration, filtration, frustration, hydration, illustration, immigration, infiltration, integration, libration, migration, ministration, narration, nitration, oration, orchestration, penetration, proration, prostration, registration, rehydration, sequestration, vibration
Gyration sounds like:
garden, gardena, gardenia, gardin, gardini, garduno, gardyne, garritano, garten, gartin, gartman, garton, gerdeman, giardina, giardini, giardino, giarratano, giordani, giordano, girardin, girten, girtman, girton, gordan, gordana, gorden, gordian, gordin, gordon, gortney, gorton, gourdine, gradation, graden, gradney, graduation, grattan, gratton, graydon, greetham, gretna, gritton, groden, grodin, groton, grutman, guardian, guardin, guardino, guertin, gwartney, gyrodyne