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User:Arguz/GearboxRatiosCheapest
From A Tale in the Desert
Jump to navigationJump to searchThis is my cheapest list, containing all only-small-gear-ratios for a final ratio of between 1 and 2000 with a maximum train length of 15. This should be all possible gear trains for that range using only small gears.
| Ratio | Gear Linkages | Gear Linkages (alternate notation) |
|---|---|---|
| 1 | (3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4) | (3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4) |
| 2 | (3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4) | (3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4) |
| (3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4) | (3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4) | |
| 3 | (3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4) | (3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4) |
| 4 | (3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4) | (3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4) |
| 6 | (3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4) | (3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4) |
| 8 | (3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4) | (3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4) |
| 10 | (3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4) | (3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4) |
| 13 | (3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4) | (3/4)(3/4)(3/4)(3/4)(3/4)(3/4)(3/4) |
| 18 | (3/4)*(3/4)*(3/4)*(3/4)*(3/4)*(3/4) | (3/4)(3/4)(3/4)(3/4)(3/4)(3/4) |
| 24 | (3/4)*(3/4)*(3/4)*(3/4)*(3/4) | (3/4)(3/4)(3/4)(3/4)(3/4) |
| 32 | (3/4)*(3/4)*(3/4)*(3/4) | (3/4)(3/4)(3/4)(3/4) |
| 42 | (3/4)*(3/4)*(3/4) | (3/4)(3/4)(3/4) |
| 56 | (3/4)*(3/4) | (3/4)(3/4) |
| 75 | (3/4) | (3/4) |
| 133 | (4/3) | (4/3) |
| 178 | (4/3)*(4/3) | (4/3)(4/3) |
| 237 | (4/3)*(4/3)*(4/3) | (4/3)(4/3)(4/3) |
| 316 | (4/3)*(4/3)*(4/3)*(4/3) | (4/3)(4/3)(4/3)(4/3) |
| 421 | (4/3)*(4/3)*(4/3)*(4/3)*(4/3) | (4/3)(4/3)(4/3)(4/3)(4/3) |
| 562 | (4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3) | (4/3)(4/3)(4/3)(4/3)(4/3)(4/3) |
| 749 | (4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3) | (4/3)(4/3)(4/3)(4/3)(4/3)(4/3)(4/3) |
| 999 | (4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3) | (4/3)(4/3)(4/3)(4/3)(4/3)(4/3)(4/3)(4/3) |
| 1332 | (4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3) | (4/3)(4/3)(4/3)(4/3)(4/3)(4/3)(4/3)(4/3)(4/3) |
| 1776 | (4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3)*(4/3) | (4/3)(4/3)(4/3)(4/3)(4/3)(4/3)(4/3)(4/3)(4/3)(4/3) |
