The strike tone that one hears for a chime is determined by modes 4, 5, and 6. For a free bar, these correspond to the transverse modes m=4,5, and 6 with fm​∝(2m+1)². The ratios f₄​:f₅​:f₆​=___:___:___. [This is close enough to the ratios 2:3:4, for us to hear the virtual pitch 0.50f₄​​.]