Inch Solutions

Here is a table with all TPI solution between 3.5 and 205 in 0.5 tpi steps. 11.5 tpi was the reason I started this investigation- I needed to cut it on a pipe fitting. Disappointingly, it can't be configured exactly- but 0.17% was close enough for my purposes.

gear order is from spindle to leadscrew
":" indicates the gears revolve on the same axis
"-" indicates the gears are meshed

Desired Pitch (tpi) Actual Pitch (tpi) Pitch Error Configuration
3.503.5000.00%100-35:90-30
4.004.0000.00%100-40:90-30
4.504.5000.00%70-35:70-30
5.005.0000.00%66-40:72-30
5.505.4550.83%70-30:66-40
6.006.0000.00%70-40:60-30
6.506.4800.31%66-72:100-30
7.007.0000.00%80-30:45-35
7.507.5000.00%75-30:48-40
8.008.0000.00%40:45-80-30
8.508.5000.00%68:72-50-30
9.009.0000.00%35-90-30
9.509.5040.04%68-66:100-48
10.0010.0000.00%50:45-72-30
10.5010.5000.00%30-90-35
11.0011.0000.00%66:72-70:70-40
11.5011.5200.17%45:50-80:75-40
12.0012.0000.00%30-90-40
12.5012.5000.00%75:80-50:45-40
13.0012.9950.04%60:66-72:68-45
13.5013.5000.00%30-90-45
14.0014.0000.00%35:40-80:72-48
14.5014.5070.05%68:72-80:75-48
15.0015.0000.00%80-30-50
15.5015.5100.07%50:48-75:68-45
16.0016.0000.00%70:75-40:35-50
16.5016.5000.00%66:72-50:40-48
17.0017.0000.00%68:72-50:40-48
17.5017.5000.00%35:30-100:90-45
18.0018.0000.00%75-30-60
18.5018.5140.08%66-30:35-72
19.0019.0080.04%45:50-80:75-66
19.5019.4910.05%35:40-90:80-66
20.0020.0000.00%30:35-80:72-70
20.5020.5080.04%45:48-75:72-70
21.0021.0000.00%70-30-70
21.5021.5040.02%72:75-48:45-70
22.0022.0000.00%66:72-40:30-60
22.5022.5000.00%68-30-75
23.0023.0110.05%45:40-75:66-60
23.5023.5010.00%48:50-68:60-72
24.0024.0000.00%66-30-80
24.5024.5000.00%35:40-80:60-70
25.0025.0000.00%75:72-40:30-60
25.5025.5000.00%68:70-35:30-75
26.0025.9890.04%60:66-90:68-72
26.5026.4940.02%30:35-100:66-68
27.0027.0000.00%60-30-90
27.5027.5000.00%75:72-40:30-66
28.0028.0000.00%35:30-80:70-70
28.5028.5120.04%72:75-45:30-66
29.0029.0130.05%48:45-68:60-80
29.5029.5070.02%45:40-90:70-68
30.0030.0000.00%60-30-100
30.5030.4940.02%72:68-48:30-60
31.0030.9900.03%70:72-75:48-68
31.5031.5000.00%35:30-75:60-72
32.0032.0000.00%40:30-100:75-60
32.5032.4870.04%75:68-90:66-72
33.0033.0000.00%35:30-100:70-66
33.5033.5020.01%45:40-90:68-75
34.0034.0000.00%35:30-100:70-68
34.5034.5170.05%45:40-90:66-75
35.0035.0000.00%35:30-80:60-75
35.5035.5110.03%50:48-100:66-75
36.0036.0000.00%30:35-70:45-90
36.5036.4580.11%70:72-75:48-80
37.0037.0220.06%70:60-70:45-68
37.5037.5000.00%30:35-70:48-100
38.0038.0160.04%48:35-70:50-66
38.5038.5000.00%70:60-50:30-66
39.0038.9810.05%90:80-70:40-66
39.5039.4970.01%80:70-48:30-72
40.0040.0000.00%30:35-70:45-100
40.5040.5000.00%45:30-90:70-70
41.0041.0160.04%50:48-75:40-70
41.5041.4810.04%100:90-70:45-80
42.0042.0000.00%35:30-60:50-100
42.5042.5000.00%45:30-100:72-68
43.0043.0310.07%45:48-68:40-90
43.5043.5200.05%40:30-80:50-68
44.0044.0000.00%66:60-40:30-100
44.5044.5090.02%72:66-60:30-68
45.0045.0000.00%30:35-70:40-100
45.5045.4960.01%75:48-100:68-66
46.0046.0230.05%75:66-45:30-90
46.5046.5500.11%80:70-66:35-72
47.0047.0020.00%48:50-68:30-72
47.5047.5200.04%40:30-66:50-90
48.0048.0000.00%40:30-80:48-72
48.5048.5100.02%66:50-70:40-70
49.0049.0000.00%35:30-70:45-90
49.5049.5000.00%66:60-45:30-100
50.0050.0000.00%40:30-80:48-75
50.5050.4940.01%60:66-72:35-90
51.0051.0000.00%40:30-68:48-90
51.5051.5150.03%50:30-100:66-68
52.0051.9750.05%70:48-66:40-72
52.5052.5000.00%50:30-72:48-70
53.0052.9870.02%60:35-100:66-68
53.5053.4600.07%45:50-66:30-90
54.0054.0000.00%40:30-90:50-75
54.5054.5450.08%50:30-100:66-72
55.0055.0000.00%40:30-66:48-100
55.5055.5330.06%70:45-70:40-68
56.0056.0000.00%35:30-72:45-100
56.5056.4710.05%48:30-100:68-80
57.0057.0240.04%48:50-66:30-90
57.5057.4220.14%70:48-75:40-70
58.0058.0270.05%48:45-68:30-80
58.5058.4420.10%60:35-100:66-75
59.0059.0140.02%45:35-68:40-90
59.5059.5000.00%35:40-68:30-100
60.0060.0000.00%40:45-75:30-90
60.5060.5040.01%60:35-100:68-80
61.0060.9520.08%40:45-80:35-100
61.5061.5500.08%72:45-66:35-68
62.0062.0400.07%75:68-100:48-90
62.5062.5000.00%40:30-75:48-100
63.0063.0000.00%35:40-72:30-100
63.5063.4780.04%90:70-72:35-80
64.0064.0000.00%40:45-72:30-100
64.5064.6270.20%68:50-66:30-72
65.0064.9690.05%66:48-70:40-90
65.5065.5150.02%66:68-75:30-90
66.0066.0000.00%60:45-66:30-75
66.5066.5280.04%72:50-66:30-70
67.0066.9640.05%50:48-75:35-100
67.5067.5000.00%50:40-60:30-90
68.0068.0000.00%50:40-68:30-80
68.5068.5440.06%70:50-68:30-72
69.0068.9060.14%70:48-70:40-90
69.5069.4850.02%90:68-70:30-75
70.0070.0000.00%35:40-80:30-100
70.5070.5310.04%100:70-72:35-80
71.0071.1110.16%40:45-80:30-100
71.5071.4710.04%75:68-72:30-90
72.0072.0000.00%48:30-80:40-75
72.5072.5330.05%48:45-68:30-100
73.0072.9170.11%70:72-75:30-100
73.5073.5000.00%70:50-70:30-75
74.0074.0570.08%72:70-80:30-90
74.5074.4490.07%75:68-90:40-100
75.0075.0000.00%40:30-100:48-90
75.5075.5380.05%68:50-72:35-90
76.0076.0320.04%66:50-72:30-80
76.5076.5000.00%45:30-68:40-100
77.0077.0000.00%75:45-66:30-70
77.5077.6470.19%100:68-66:30-80
78.0077.9220.10%75:66-80:35-100
78.5078.5400.05%68:40-66:30-70
79.0079.2000.25%48:40-66:30-100
79.5079.4810.02%90:66-68:35-100
80.0080.0000.00%40:35-70:30-100
80.5080.6400.17%72:50-70:30-80
81.0081.0000.00%45:35-70:30-90
81.5081.4630.05%48:35-66:30-90
82.0082.0310.04%70:48-75:40-100
82.5082.5000.00%50:40-66:30-100
83.0083.1600.19%72:40-66:30-70
83.5083.3330.20%75:72-80:30-100
84.0084.0000.00%48:30-70:40-100
84.5084.4800.02%66:45-72:30-80
85.0085.0000.00%50:30-68:40-100
85.5085.4860.02%66:45-68:35-100
86.0085.7140.33%60:45-75:35-100
86.5086.5540.06%66:40-68:35-90
87.0087.0400.05%68:45-72:30-80
87.5087.5000.00%50:40-70:30-100
88.0088.0000.00%60:45-66:30-100
88.5088.3930.12%66:48-75:35-100
89.0089.1000.11%60:40-66:30-90
89.5089.6000.11%72:45-70:30-80
90.0090.0000.00%45:35-70:30-100
90.5090.5140.02%66:45-80:35-90
91.0091.0710.08%68:48-75:35-100
91.5091.4290.08%60:35-80:45-100
92.0091.8750.14%70:40-70:30-75
92.5092.5710.08%48:30-75:35-90
93.0092.8120.20%66:48-75:30-90
93.5093.5000.00%66:48-68:30-100
94.0093.7500.27%50:40-75:30-100
94.5094.5000.00%60:40-70:30-90
95.0095.0400.04%66:40-72:30-80
95.5095.4640.04%66:35-75:40-90
96.0096.0000.00%48:35-70:30-100
96.5096.4290.07%45:30-75:35-100
97.0097.1430.15%50:35-68:30-100
97.5097.2000.31%60:40-72:30-90
98.0098.0000.00%70:40-70:30-80
98.5098.4380.06%70:48-90:40-100
99.0099.0000.00%66:35-70:30-75
99.5099.7330.23%66:45-68:30-100
100.00100.0000.00%50:35-70:30-100
100.50100.5710.07%66:45-80:35-100
101.00100.9800.02%66:40-68:30-90
101.50101.2500.25%45:40-90:30-100
102.00102.0000.00%68:35-70:30-75
102.50102.5830.08%66:35-68:30-80
103.00103.1250.12%66:48-75:30-100
103.50103.6190.11%68:45-80:35-100
104.00103.9500.05%66:40-70:30-90
104.50104.1430.34%72:40-75:35-90
105.00105.0000.00%72:48-70:30-100
105.50105.4690.03%75:40-100:48-90
106.00106.0710.07%66:40-75:35-100
106.50106.6670.16%60:45-80:30-100
107.00106.9200.07%66:40-72:30-90
107.50107.1430.33%50:35-75:30-100
108.00108.0000.00%60:35-70:30-90
108.50108.6170.11%66:35-72:30-80
109.00109.0910.08%100:66-80:30-90
109.50109.3750.11%70:48-75:30-100
110.00110.0000.00%66:45-75:30-100
110.50110.2500.23%70:40-70:30-90
111.00111.0860.08%60:30-72:35-90
111.50111.3750.11%66:40-75:30-90
112.00112.0000.00%70:35-70:30-80
112.50112.5000.00%50:40-90:30-100
113.00113.1430.13%60:35-66:30-100
113.50113.4000.09%70:40-72:30-90
114.00114.2860.25%50:35-80:30-100
114.50114.2860.19%75:45-80:35-100
115.00115.2000.17%70:35-72:30-80
115.50115.5000.00%66:40-70:30-100
116.00115.7140.25%45:35-90:30-100
116.50116.5710.06%68:35-75:30-80
117.00117.3330.28%66:45-80:30-100
117.50117.3330.14%66:45-80:30-100
118.00118.1250.11%70:40-75:30-90
118.50118.8000.25%66:40-72:30-100
119.00119.0000.00%68:40-70:30-100
119.50120.0000.42%100:60-80:30-90
120.00120.0000.00%60:35-70:30-100
120.50120.5360.03%75:35-100:48-90
121.00120.8890.09%68:45-80:30-100
121.50121.5000.00%72:40-75:30-90
122.00122.1940.16%66:35-72:30-90
122.50122.5000.00%70:40-70:30-100
123.00123.4290.35%48:35-90:30-100
123.50123.4290.06%48:35-90:30-100
124.00123.7500.20%66:30-100:48-90
124.50124.4440.04%70:45-80:30-100
125.00125.0000.00%75:48-80:30-100
125.50125.8970.32%68:35-72:30-90
126.00126.0000.00%70:35-70:30-90
126.50126.0000.40%70:35-70:30-90
127.00127.2860.22%66:35-75:30-90
127.50127.5000.00%68:40-75:30-100
128.00128.0000.00%72:45-80:30-100
128.50128.5710.06%50:35-90:30-100
129.00128.5710.33%75:35-90:45-100
129.50129.6000.08%70:35-72:30-90
130.00129.6000.31%70:35-72:30-90
130.50131.1430.49%68:35-75:30-90
131.00131.1430.11%68:35-75:30-90
131.50131.2500.19%70:40-75:30-100
132.00132.0000.00%66:35-70:30-100
132.50132.0000.38%66:35-70:30-100
133.00133.3330.25%75:45-80:30-100
133.50133.3330.12%75:45-80:30-100
134.00133.3330.50%75:45-80:30-100
134.50135.0000.37%72:40-75:30-100
135.00135.0000.00%70:35-75:30-90
135.50135.7710.20%66:30-80:35-90
136.00136.0000.00%68:35-70:30-100
136.50136.0000.37%68:30-90:45-100
137.00137.1430.10%60:35-80:30-100
137.50137.1430.26%60:35-80:30-100
138.00138.8570.62%72:40-90:35-100
138.50138.8570.26%72:40-90:35-100
139.00138.8570.10%72:35-75:30-90
139.50139.8860.28%68:35-80:30-90
140.00140.0000.00%70:35-70:30-100
140.50140.6250.09%75:30-100:48-90
141.00140.6250.27%75:30-100:48-90
141.50141.4290.05%66:35-75:30-100
142.00141.4290.40%66:35-75:30-100
142.50141.4290.76%66:35-75:30-100
143.00144.0000.69%70:35-72:30-100
143.50144.0000.35%70:35-72:30-100
144.00144.0000.00%70:35-80:30-90
144.50144.6430.10%75:40-90:35-100
145.00144.6430.25%75:40-90:35-100
145.50145.7140.15%68:35-75:30-100
146.00145.7140.20%68:35-75:30-100
146.50145.7140.54%68:35-75:30-100
147.00148.1140.75%72:35-80:30-90
147.50148.1140.41%72:35-80:30-90
148.00148.1140.08%72:35-80:30-90
148.50148.5000.00%66:40-90:30-100
149.00148.5000.34%66:40-90:30-100
149.50150.0000.33%70:35-75:30-100
150.00150.0000.00%70:35-75:30-100
150.50150.8570.24%66:30-80:35-100
151.00150.8570.09%66:35-80:30-100
151.50150.8570.43%66:35-80:30-100
152.00153.0000.65%68:40-90:30-100
152.50153.0000.33%68:40-90:30-100
153.00153.0000.00%68:40-90:30-100
153.50153.0000.33%68:40-90:30-100
154.00154.2860.19%60:35-90:30-100
154.50154.2860.14%60:35-90:30-100
155.00155.4290.28%68:35-80:30-100
155.50155.4290.05%68:35-80:30-100
156.00155.4290.37%68:35-80:30-100
156.50157.5000.63%70:40-90:30-100
157.00157.5000.32%70:40-90:30-100
157.50157.5000.00%70:40-90:30-100
158.00157.5000.32%70:40-90:30-100
158.50157.5000.63%70:40-90:30-100
159.00160.0000.63%70:35-80:30-100
159.50160.0000.31%70:35-80:30-100
160.00160.0000.00%70:35-80:30-100
160.50160.0000.31%70:35-80:30-100
161.00162.0000.62%72:40-90:30-100
161.50162.0000.31%72:40-90:30-100
162.00162.0000.00%72:40-90:30-100
162.50162.0000.31%72:40-90:30-100
163.00162.0000.62%72:40-90:30-100
163.50164.5710.65%72:35-80:30-100
164.00164.5710.35%72:35-80:30-100
164.50164.5710.04%72:35-80:30-100
165.00164.5710.26%72:35-80:30-100
165.50164.5710.56%72:35-80:30-100
166.00164.5710.87%72:35-80:30-100
166.50164.5711.17%72:35-80:30-100
167.00168.7501.04%75:40-90:30-100
167.50168.7500.74%75:40-90:30-100
168.00168.7500.44%75:40-90:30-100
168.50168.7500.15%75:40-90:30-100
169.00168.7500.15%75:40-90:30-100
169.50169.7140.13%66:35-90:30-100
170.00169.7140.17%66:35-90:30-100
170.50169.7140.46%66:35-90:30-100
171.00171.4290.25%75:35-80:30-100
171.50171.4290.04%75:35-80:30-100
172.00171.4290.33%75:35-80:30-100
172.50171.4290.63%75:35-80:30-100
173.00171.4290.92%75:35-80:30-100
173.50174.8570.78%68:35-90:30-100
174.00174.8570.49%68:35-90:30-100
174.50174.8570.20%68:35-90:30-100
175.00174.8570.08%68:35-90:30-100
175.50174.8570.37%68:35-90:30-100
176.00174.8570.65%68:35-90:30-100
176.50174.8570.94%68:35-90:30-100
177.00174.8571.23%68:35-90:30-100
177.50180.0001.39%70:35-90:30-100
178.00180.0001.11%70:35-90:30-100
178.50180.0000.83%70:35-90:30-100
179.00180.0000.56%70:35-90:30-100
179.50180.0000.28%70:35-90:30-100
180.00180.0000.00%70:35-90:30-100
180.50180.0000.28%70:35-90:30-100
181.00180.0000.56%70:35-90:30-100
181.50180.0000.83%70:35-90:30-100
182.00180.0001.11%70:35-90:30-100
182.50180.0001.39%70:35-90:30-100
183.00185.1431.16%72:35-90:30-100
183.50185.1430.89%72:35-90:30-100
184.00185.1430.62%72:35-90:30-100
184.50185.1430.35%72:35-90:30-100
185.00185.1430.08%72:35-90:30-100
185.50185.1430.19%72:35-90:30-100
186.00185.1430.46%72:35-90:30-100
186.50185.1430.73%72:35-90:30-100
187.00185.1431.00%72:35-90:30-100
187.50185.1431.27%72:35-90:30-100
188.00185.1431.54%72:35-90:30-100
188.50185.1431.81%72:35-90:30-100
189.00192.8572.00%75:30-90:35-100
189.50192.8571.74%75:30-90:35-100
190.00192.8571.48%75:30-90:35-100
190.50192.8571.22%75:30-90:35-100
191.00192.8570.96%75:30-90:35-100
191.50192.8570.70%75:30-90:35-100
192.00192.8570.44%75:30-90:35-100
192.50192.8570.19%75:30-90:35-100
193.00192.8570.07%75:35-90:30-100
193.50192.8570.33%75:35-90:30-100
194.00192.8570.59%75:35-90:30-100
194.50192.8570.85%75:35-90:30-100
195.00192.8571.11%75:35-90:30-100
195.50192.8571.37%75:35-90:30-100
196.00192.8571.63%75:35-90:30-100
196.50192.8571.89%75:35-90:30-100
197.00192.8572.15%75:35-90:30-100
197.50192.8572.41%75:35-90:30-100
198.00192.8572.67%75:35-90:30-100
198.50192.8572.93%75:35-90:30-100
199.00192.8573.19%75:35-90:30-100
199.50205.7143.02%80:35-90:30-100
200.00205.7142.78%80:35-90:30-100
200.50205.7142.53%80:35-90:30-100
201.00205.7142.29%80:35-90:30-100
201.50205.7142.05%80:35-90:30-100
202.00205.7141.81%80:35-90:30-100
202.50205.7141.56%80:35-90:30-100
203.00205.7141.32%80:35-90:30-100
203.50205.7141.08%80:35-90:30-100
204.00205.7140.83%80:35-90:30-100
204.50205.7140.59%80:35-90:30-100
205.00205.7140.35%80:35-90:30-100