My Math Forum Long Compound Gear Train ratio

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 June 18th, 2017, 01:17 PM #1 Newbie   Joined: Dec 2012 Posts: 10 Thanks: 0 Long Compound Gear Train ratio Greetings. I am building a board game that utilizes time travel by means of a compound gear train. Each gear will represent a different unit of time, and I would like an idler gear in between so the time gears all move clockwise/counterclockwise at the same time. The units I am using are day (7:1), week (4:1) month (12:1) year (10:1) decade (10:1) century (10:1) millennium (10:1) myriad (10:1) centium (10:1) age (8 teeth). The ratios put together are 7:1, 4:1, 12:1, 10:1, 10:1, 10:1, 10:1, 10:1, 10:1, 8:1 So here is the issue I am having. I don't want to have any of the gears have odd-numbered teeth, and I don't want massive-tooth gears (none above 60), and the smallest amount of teeth I want on any gear to be 8. I was trying to avoid having to use pinion gears but it looks like I will have to anyway. What is the best setup for this gear train? What I have for starters is the day to week ratio which will be a compound gear, either 10:20 and 8:28 or 8:20 and 10:28. It gets tricky for me to calculate after that because of the next 4:1 ratio. I also tried started working backwards from the age gear (8 teeth) too but didn't make it very far. Last edited by davidbenjamindix; June 18th, 2017 at 01:32 PM. Reason: mispellings
 June 18th, 2017, 01:53 PM #2 Math Team     Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 878 Thanks: 60 Math Focus: सामान्य गणित Code: (56:8) (32:8) (48:(8:(16:8))) (40:(8:(20:10))) (40:(8:(20:10))) (40:(8:(20:10))) (40:(8:(20:10))) (40:(8:(20:10))) (40:(8:(20:10))) (40:(10:(20:10))) Does this make any sense? Thanks from davidbenjamindix
 June 18th, 2017, 02:38 PM #3 Newbie   Joined: Dec 2012 Posts: 10 Thanks: 0 It makes perfect sense! Thanks so much. That's the answer I was looking for. For some reason I hit a mental block while trying to figure it out. Thanks again!
 June 18th, 2017, 02:46 PM #4 Math Team     Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 878 Thanks: 60 Math Focus: सामान्य गणित Good to know, that I was of some help.

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### compound gear train math

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