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Cheap Gearbox Ratios

Ratio	Mediums	Gear linkages
13	4	(3/5) * (3/5) * (3/5) * (3/5)
18	4	(3/5) * (3/5) * (3/5/6)
22	3	(3/5) * (3/5) * (3/5)
25	4	(3/5/6) * (3/5/6)
30	3	(3/5) * (3/5/6)
36	2	(3/5) * (3/5)
42	4	(3/5/6) * (5/6)
43	4	(3/5) * (3/5) * (6/5)
50	2	(3/5/6)
60	1	(3/5)
69	4	(5/6) * (5/6)
72	3	(3/5) * (6/5)
83	2	(5/6)
100	0
120	2	(6/5)
139	3	(5/3) * (5/6)
144	4	(6/5) * (6/5)
167	1	(5/3)
200	2	(6/5/3)
231	4	(5/3) * (5/3) * (5/6)
240	4	(6/5/3) * (6/5)
278	2	(5/3) * (5/3)
333	3	(5/3) * (6/5/3)
400	4	(6/5/3) * (6/5/3)
463	3	(5/3) * (5/3) * (5/3)
556	4	(5/3) * (5/3) * (6/5/3)
772	4	(5/3) * (5/3) * (5/3) * (5/3)

More expensive ones

One large gear is considered equivalent in cost to 6 mediums.

Ratio	Mediums	Gear linkages
1	9	(3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5/6)
2	8	(3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5/6)
3	7	(3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5)
4	7	(3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5/6)
5	6	(3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5)
6	6	(3/5) * (3/5) * (3/5) * (3/5) * (3/5/6)
7	10	(3/5) * (3/5) * (3/5) * (3/5) * (4/7)
8	5	(3/5) * (3/5) * (3/5) * (3/5) * (3/5)
9	6	(3/5) * (3/5) * (3/5/6) * (3/5/6)
10	8	(3/5/6) * (3/5/6) * (3/5/6) * (5/6)
11	5	(3/5) * (3/5) * (3/5) * (3/5/6)
12	9	(3/5) * (3/5) * (3/5) * (4/7)
14	10	(3/5/6) * (3/5/6) * (4/7)
15	5	(3/5) * (3/5/6) * (3/5/6)
16	6	(3/5) * (3/5) * (3/5) * (3/5) * (6/5)
17	8	(3/5/6) * (3/5/6) * (5/6) * (5/6)
19	8	(3/5) * (3/5) * (3/5) * (3/5) * (6/5) * (6/5)
21	6	(3/5/6) * (3/5/6) * (5/6)
23	10	(3/5) * (3/5) * (3/5) * (3/5) * (7/4)
24	10	(3/5/6) * (5/6) * (4/7)
26	5	(3/5) * (3/5) * (3/5) * (6/5)
27	9	(3/5) * (3/5) * (3/5/7/4)
29	8	(3/5/6) * (4/7)
31	7	(3/5) * (3/5) * (3/5) * (6/5) * (6/5)
32	10	(3/5) * (3/5) * (3/5/6) * (7/4)
34	7	(3/5) * (4/7)
35	6	(3/5/6) * (5/6) * (5/6)
37	9	(3/5) * (3/5) * (3/5) * (6/5) * (6/5) * (6/5)
38	9	(3/5/6) * (3/5/7/4)
40	9	(3/5/6) * (4/7/5)
41	9	(3/5) * (6/5) * (4/7)
44	10	(3/5/6) * (3/5/6) * (7/4)
45	8	(3/5) * (3/5/7/4)
48	8	(5/6) * (4/7)
51	10	(3/5) * (6/5) * (5/7)
52	6	(3/5) * (3/5) * (6/5) * (6/5)
53	9	(3/5) * (3/5/6) * (7/4)
54	10	(3/5) * (6/5) * (3/5/7/4)
57	6	(4/7)
58	6	(5/6) * (5/6) * (5/6)
62	8	(3/5) * (3/5) * (6/5) * (6/5) * (6/5)
63	8	(3/5) * (3/5) * (7/4)
67	9	(5/6) * (4/7/5)
70	9	(3/5/6) * (7/5)
71	7	(5/7)
73	10	(3/5/6) * (5/6) * (7/4)
75	7	(3/5/7/4)
76	10	(3/5) * (3/5) * (6/5) * (7/4)
79	9	(5/3) * (5/6) * (4/7)
80	7	(4/7/5)
82	10	(6/5) * (6/5) * (4/7)
84	8	(3/5) * (7/5)
86	5	(3/5) * (6/5) * (6/5)
88	8	(3/5/6) * (7/4)
90	9	(6/5) * (3/5/7/4)
95	7	(5/3) * (4/7)
96	7	(5/3) * (5/6) * (5/6) * (5/6)
99	10	(5/3) * (5/6) * (5/7)
101	10	(3/5) * (6/5) * (7/5)
104	7	(3/5) * (6/5) * (6/5) * (6/5)
105	7	(3/5) * (7/4)
111	9	(5/6) * (4/7/5/3)
114	8	(6/5/3) * (4/7)
116	5	(5/3) * (5/6) * (5/6)
117	9	(5/6) * (7/5)
119	8	(5/3) * (5/7)
122	10	(5/6) * (5/6) * (7/4)
124	9	(3/5) * (6/5) * (6/5) * (6/5) * (6/5)
125	7	(5/7/4)
126	9	(3/5) * (6/5) * (7/4)
132	10	(5/3) * (5/3) * (5/6) * (4/7)
133	7	(4/7/5/3)
134	10	(5/3) * (5/3) * (5/6) * (5/6) * (5/6) * (5/6)
137	10	(6/5/3) * (6/5) * (4/7)
140	7	(7/5)
143	9	(6/5/3) * (5/7)
146	8	(5/6) * (7/4)
150	9	(6/5) * (5/7/4)
159	8	(5/3) * (5/3) * (4/7)
160	9	(6/5/3) * (4/7/5)
161	8	(5/3) * (5/3) * (5/6) * (5/6) * (5/6)
168	9	(6/5) * (7/5)
173	6	(6/5) * (6/5) * (6/5)
174	10	(5/3) * (5/6) * (5/7/4)
175	6	(7/4)
185	10	(5/3) * (5/6) * (4/7/5/3)
190	9	(5/3) * (6/5/3) * (4/7)
193	6	(5/3) * (5/3) * (5/6) * (5/6)
194	10	(5/3) * (5/6) * (7/5)
198	9	(5/3) * (5/3) * (5/7)
207	8	(6/5) * (6/5) * (6/5) * (6/5)
208	8	(5/3) * (5/7/4)
210	8	(6/5) * (7/4)
222	8	(5/3) * (4/7/5/3)
229	10	(6/5/3) * (6/5/3) * (4/7)
233	8	(5/3) * (7/5)
238	10	(5/3) * (6/5/3) * (5/7)
243	9	(5/3) * (5/6) * (7/4)
249	10	(6/5) * (6/5) * (6/5) * (6/5) * (6/5)
250	9	(6/5/3) * (5/7/4)
252	10	(6/5) * (6/5) * (7/4)
265	9	(5/3) * (5/3) * (5/3) * (4/7)
267	9	(6/5/3) * (4/7/5/3)
268	9	(5/3) * (5/3) * (5/3) * (5/6) * (5/6) * (5/6)
280	9	(6/5/3) * (7/5)
288	6	(6/5/3) * (6/5) * (6/5)
292	7	(5/3) * (7/4)
317	10	(5/3) * (5/3) * (6/5/3) * (4/7)
322	7	(5/3) * (5/3) * (5/3) * (5/6) * (5/6)
331	10	(5/3) * (5/3) * (5/3) * (5/7)
346	8	(6/5/3) * (6/5) * (6/5) * (6/5)
347	9	(5/3) * (5/3) * (5/7/4)
350	8	(6/5/3) * (7/4)
370	9	(5/3) * (5/3) * (4/7/5/3)
386	5	(5/3) * (5/3) * (5/3) * (5/6)
389	9	(5/3) * (5/3) * (7/5)
405	10	(5/3) * (5/3) * (5/6) * (7/4)
415	10	(6/5/3) * (6/5) * (6/5) * (6/5) * (6/5)
417	10	(5/3) * (6/5/3) * (5/7/4)
420	10	(6/5/3) * (6/5) * (7/4)
441	10	(5/3) * (5/3) * (5/3) * (5/3) * (4/7)
444	10	(5/3) * (6/5/3) * (4/7/5/3)
447	10	(5/3) * (5/3) * (5/3) * (5/3) * (5/6) * (5/6) * (5/6)
467	10	(5/3) * (6/5/3) * (7/5)
480	6	(6/5/3) * (6/5/3) * (6/5)
486	8	(5/3) * (5/3) * (7/4)
536	8	(5/3) * (5/3) * (5/3) * (5/3) * (5/6) * (5/6)
576	8	(6/5/3) * (6/5/3) * (6/5) * (6/5)
579	10	(5/3) * (5/3) * (5/3) * (5/7/4)
583	9	(5/3) * (6/5/3) * (7/4)
617	10	(5/3) * (5/3) * (5/3) * (4/7/5/3)
643	6	(5/3) * (5/3) * (5/3) * (5/3) * (5/6)
648	10	(5/3) * (5/3) * (5/3) * (7/5)
667	5	(5/3) * (6/5/3) * (6/5/3)
691	10	(6/5/3) * (6/5/3) * (6/5) * (6/5) * (6/5)
700	10	(6/5/3) * (6/5/3) * (7/4)
800	6	(6/5/3) * (6/5/3) * (6/5/3)
810	9	(5/3) * (5/3) * (5/3) * (7/4)
893	9	(5/3) * (5/3) * (5/3) * (5/3) * (5/3) * (5/6) * (5/6)
926	5	(5/3) * (5/3) * (5/3) * (6/5/3)
960	8	(6/5/3) * (6/5/3) * (6/5/3) * (6/5)
972	10	(5/3) * (5/3) * (6/5/3) * (7/4)