There is a large variety of oscillators (mainly billiard tables) with numerous different periods. Some of these periods are the result of several separate rotors being connected by the same stator, such as this impressive natural p168 object with four separate rotors:
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x = 34, y = 19, rule = B2ci3ai/S2-i3
9bo10bo$8bobo8bobo$7bobobo6bo3bo$6bobo3bo4bobobobo$5bobo3bobo2bobo2bo2b2o$4bo
bo3bobo2bo3b2o5bo2bo$3bobo3bobo4bobo2bo3bob2obo$2bo3bobo2bo4bo2b2o5bo4bo$bo2b
2o3b2o4bob2o2bo2bo4bo2bo$o2bo2bobo7bo2b2ob2ob3o2bo2bo$bo2b2o3b2o4bob2o2bo2bo
4bo2bo$2bo3bobo2bo4bo2b2o5bo4bo$3bobo3bobo4bobo2bo3bob2obo$4bobo3bobo2bo3b2o
5bo2bo$5bobo3bobo2bobo2bo2b2o$6bobo3bo4bobobobo$7bobobo6bo3bo$8bobo8bobo$9bo
10bo!
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x = 63, y = 14, rule = B2ci3ai/S2-i3
21bo$20bobo13bo19bo$5bo2bo10bo3bo11bobo17bobo$4bob2obo8bo5bo11bo17bo3b
o$3bo4bo9bo5bo11bo16bo5bo$2bobobo10bo7bo9bo16bo5bobo$bo3bo10bo4bo4bo7b
o16bo7bobo$obobobo8bo4bobo4bo5bo5bobo8bobo6bo2bo$bobobo10bob2o3b2obo7b
o5bobo8bo6bo2bo$2bo3bo10bo2bobo2bo9bo4bo2bo8bo4bo2bo$3bobo12bo2bo2bo
10bo3bo2bo10bo3bobo$4bo14bo3bo12b2obobo12bo3bo$20bobo15bobo14bobo$21bo
17bo16bo!
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x = 14, y = 15, rule = B2ci3ai/S2-i3
5bo$4bo$3bobo$2bo3bo$bo2bo2bo$o2bobo2bo$bo2bo4bo$2bo4bo2bo$3bob2obo2bo$4bo2bo
bo2bo$5bobobo3bo$6bobobobo$7bo3bo$8bobo$9bo!
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x = 42, y = 9, rule = B2ci3ai/S2-i3
4bo31bo$b3obo29bobo$bo2bo11bobo15bo$o14bob3o13bobo$bobo12bo2bo14bobo$o
bo17bo14bo2bobo$bobo15bo15bo3bobo$2bo15bo16b2obobo$37bobo!
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x = 54, y = 18, rule = B2ci3ai/S2-i3
40bo$38b2obo$37b2o3bo$6bo31bo$3bobobo29bobo$2b3obobo15bo13bo3bobo$2bo
2bo3bo11bobobo13bobobobo$bo18b3obobo13bobobobo$obo17bo2bo3bo13bo2bo2bo
$bobo15bo8bo13bo2b2obo$2bo17bo8bo13bo3bobo$3bobo15bo6bobo13bobo3bo$4bo
bo20bobobo13bobo3bo$5bobo20bo3bo13bob2o2bo$6bobo20bobobo13bo2bo2bo$7bo
bo20bo3bo13bobobo$8bobo20bobo15bobo$9bo22bo17bo!