User:Inthar/311edo: Difference between revisions

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autopatrolled, emailconfirmed
15,668 edits
Inthar (talk | contribs)
autopatrolled, emailconfirmed
15,668 edits
Line 1,247: Line 1,247:
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== Mapping of the 41-prime-limited add-73 77-odd-limit ==
== Mapping of the 41-prime-limited add-73 77-odd-limit ==
{| class="wikitable"
|Ratio (in order of ascending size)
|311edo mapping
|MITTOOT? (Error < 1\1244 = 0.964630¢?)
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|64/41
|200
|TRUE
|-
|114/73
|200
|TRUE
|-
|25/16
|200
|TRUE
|-
|36/23
|201
|TRUE
|-
|58/37
|202
|FALSE
|-
|69/44
|202
|TRUE
|-
|80/51
|202
|TRUE
|-
|102/65
|202
|TRUE
|-
|11/7
|203
|TRUE
|-
|63/40
|204
|TRUE
|-
|52/33
|204
|TRUE
|-
|41/26
|204
|FALSE
|-
|30/19
|205
|TRUE
|-
|49/31
|205
|FALSE
|-
|19/12
|206
|TRUE
|-
|65/41
|207
|TRUE
|-
|46/29
|207
|TRUE
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|73/46
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|TRUE
|-
|100/63
|207
|FALSE
|-
|27/17
|208
|FALSE
|-
|116/73
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|TRUE
|-
|62/39
|208
|TRUE
|-
|35/22
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|FALSE
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|78/49
|209
|FALSE
|-
|51/32
|209
|TRUE
|-
|110/69
|209
|FALSE
|-
|8/5
|211
|TRUE
|-
|77/48
|212
|TRUE
|-
|45/28
|213
|TRUE
|-
|82/51
|213
|TRUE
|-
|37/23
|213
|FALSE
|-
|66/41
|214
|FALSE
|-
|124/77
|214
|TRUE
|-
|29/18
|214
|TRUE
|-
|50/31
|214
|FALSE
|-
|92/57
|215
|TRUE
|-
|21/13
|215
|TRUE
|-
|55/34
|216
|TRUE
|-
|34/21
|216
|TRUE
|-
|60/37
|217
|TRUE
|-
|73/45
|217
|TRUE
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|112/69
|217
|FALSE
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|13/8
|218
|TRUE
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|57/35
|219
|TRUE
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|44/27
|219
|TRUE
|-
|75/46
|219
|FALSE
|-
|31/19
|220
|FALSE
|-
|80/49
|220
|TRUE
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|49/30
|220
|TRUE
|-
|18/11
|221
|TRUE
|-
|41/25
|222
|TRUE
|-
|64/39
|222
|TRUE
|-
|23/14
|223
|FALSE
|-
|120/73
|223
|TRUE
|-
|74/45
|223
|TRUE
|-
|51/31
|223
|FALSE
|-
|28/17
|224
|TRUE
|-
|33/20
|225
|FALSE
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|104/63
|225
|TRUE
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|38/23
|225
|FALSE
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|124/75
|226
|FALSE
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|48/29
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|TRUE
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|TRUE
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|TRUE
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|73/44
|227
|TRUE
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|108/65
|228
|TRUE
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|128/77
|228
|TRUE
|-
|5/3
|229
|TRUE
|-
|92/55
|231
|TRUE
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|82/49
|231
|TRUE
|-
|77/46
|231
|TRUE
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|62/37
|232
|FALSE
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|57/34
|232
|TRUE
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|52/31
|232
|TRUE
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|42/25
|233
|TRUE
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|116/69
|233
|TRUE
|-
|37/22
|233
|FALSE
|-
|69/41
|234
|FALSE
|-
|32/19
|234
|TRUE
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|27/16
|235
|TRUE
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|130/77
|235
|TRUE
|-
|76/45
|235
|TRUE
|-
|49/29
|235
|FALSE
|-
|22/13
|236
|TRUE
|-
|39/23
|237
|TRUE
|-
|56/33
|237
|FALSE
|-
|124/73
|238
|FALSE
|-
|17/10
|238
|TRUE
|-
|63/37
|239
|TRUE
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|46/27
|239
|TRUE
|-
|75/44
|239
|FALSE
|-
|29/17
|240
|FALSE
|-
|128/75
|240
|TRUE
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|70/41
|240
|TRUE
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|41/24
|240
|FALSE
|-
|65/38
|241
|TRUE
|-
|77/45
|241
|TRUE
|-
|12/7
|242
|TRUE
|-
|55/32
|243
|TRUE
|-
|98/57
|243
|TRUE
|-
|31/18
|244
|TRUE
|-
|112/65
|244
|TRUE
|-
|50/29
|244
|FALSE
|-
|69/40
|245
|FALSE
|-
|88/51
|245
|TRUE
|-
|126/73
|245
|TRUE
|-
|19/11
|245
|TRUE
|-
|64/37
|246
|TRUE
|-
|45/26
|246
|TRUE
|-
|26/15
|247
|TRUE
|-
|33/19
|248
|FALSE
|-
|73/42
|248
|TRUE
|-
|40/23
|248
|FALSE
|-
|54/31
|249
|TRUE
|-
|68/39
|249
|FALSE
|-
|96/55
|250
|TRUE
|-
|110/63
|250
|TRUE
|-
|7/4
|251
|TRUE
|-
|128/73
|252
|TRUE
|-
|114/65
|252
|TRUE
|-
|100/57
|252
|TRUE
|-
|72/41
|253
|FALSE
|-
|65/37
|253
|TRUE
|-
|58/33
|253
|TRUE
|-
|51/29
|253
|FALSE
|-
|44/25
|254
|FALSE
|-
|37/21
|254
|TRUE
|-
|30/17
|255
|TRUE
|-
|136/77
|255
|TRUE
|-
|23/13
|256
|TRUE
|-
|62/35
|257
|FALSE
|-
|39/22
|257
|TRUE
|-
|55/31
|257
|TRUE
|-
|16/9
|258
|TRUE
|-
|73/41
|259
|TRUE
|-
|130/73
|259
|TRUE
|-
|57/32
|259
|TRUE
|-
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|TRUE
|-
|41/23
|259
|FALSE
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|260
|FALSE
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|260
|TRUE
|-
|25/14
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|TRUE
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|34/19
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|TRUE
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|138/77
|262
|TRUE
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|262
|TRUE
|-
|70/39
|262
|FALSE
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|88/49
|263
|FALSE
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|124/69
|263
|TRUE
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|9/5
|264
|FALSE
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|265
|FALSE
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|265
|TRUE
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|69/38
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|20/11
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|290
|TRUE
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|290
|TRUE
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|TRUE
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|TRUE
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|23/12
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|TRUE
|-
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|TRUE
|-
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|293
|FALSE
|-
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|293
|TRUE
|-
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|293
|TRUE
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|TRUE
|-
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|FALSE
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|294
|TRUE
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|TRUE
|-
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|FALSE
|-
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|295
|TRUE
|-
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|FALSE
|-
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|FALSE
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|TRUE
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|TRUE
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|152/77
|305
|TRUE
|-
|77/39
|305
|TRUE
|}

Revision as of 00:41, 24 June 2023

Consistent patent val readings

TODO: separate into more-in-tune-than-out-of-tune and more-out-of-tune-than-in-tune

Steps Cents Consistent patent val readings
1 3.858521 449/448
2 7.717042 224/223, 225/224
3 11.575563 150/149
4 15.434084 338/335
5 19.292605 90/89
6 23.151125 70/69, 78/77, 77/76, 76/75, 75/74, 74/73, 73/72
7 27.009646 63/62, 64/63, 65/64, 66/65, 69/68
8 30.868167 55/54, 56/55, 57/56, 58/57
9 34.726688 49/48, 50/49, 51/50, 52/51
10 38.585209 45/44, 46/45
11 42.443730 40/39, 41/40, 42/41
12 46.302251 37/36, 38/37, 39/38
13 50.160772 34/33, 35/34, 36/35
14 54.019293 32/31, 33/32
15 57.877814 30/29, 31/30
16 61.736334 28/27, 29/28
17 65.594855 27/26
18 69.453376 25/24, 26/25
19 73.311897 24/23
20 77.170418 23/22
21 81.028939 22/21
22 84.887460 21/20
23 88.745981 20/19
24 92.604502 19/18, 39/37
25 96.463023 37/35
26 100.321543 18/17, 35/33
27 104.180064 17/16
28 108.038585 33/31
29 111.897106 16/15
30 115.755627 31/29
31 119.614148 15/14
32 123.472669 29/27
33 127.331190 14/13
34 131.189711 69/64
35 135.048232 27/25, 40/37
36 138.906752 13/12
37 142.765273 25/23
38 146.623794 37/34
39 150.482315 12/11
40 154.340836 35/32
41 158.199357 23/21, 34/31
42 162.057878 45/41, 56/51
43 165.916399 11/10
44 169.774920 32/29
45 173.633441 21/19
46 177.491961 31/28
47 181.350482 10/9
48 185.209003 49/44
49 189.067524 29/26, 39/35
50 192.926045 19/17
51 196.784566 28/25
52 200.643087 55/49
53 204.501608 9/8
54 208.360129 35/31
55 212.218650 26/23
56 216.077170 17/15
57 219.935691 25/22, 42/37
58 223.794212 33/29
59 227.652733 73/64
60 231.511254 8/7
61 235.369775 55/48
62 239.228296 31/27, 39/34
63 243.086817 23/20
64 246.945338 15/13, 128/111
65 250.803859 37/32
66 254.662379 22/19
67 258.520900 29/25, 36/31
68 262.379421 64/55
69 266.237942 7/6
70 270.096463 90/77
71 273.954984 34/29, 41/35, 48/41, 75/64
72 277.813505 27/23
73 281.672026 20/17
74 285.530547 33/28, 46/39
75 289.389068 13/11
76 293.247588 32/27
77 297.106109 19/16
78 300.964630 25/21
79 304.823151 31/26, 37/31
80 308.681672 49/41, 55/46
81 312.540193 109/91
82 316.398714 6/5
83 320.257235 77/64
84 324.115756 35/29
85 327.974277 29/24
86 331.832797 23/19, 40/33
87 335.691318 17/14
88 339.549839 28/23, 73/60
89 343.408360 39/32, 50/41, 128/105
90 347.266881 11/9
91 351.125402 38/31
92 354.983923 27/22
93 358.842444 16/13
94 362.700965 37/30
95 366.559486 21/17
96 370.418006 26/21
97 374.276527 36/29, 41/33
98 378.135048 46/37, 51/41, 56/45
99 381.993569 96/77
100 385.852090 5/4
101 389.710611 124/99
102 393.569132 49/39, 64/51
103 397.427653 39/31, 44/35
104 401.286174 29/23
105 405.144695 24/19
106 409.003215 19/15
107 412.861736 33/26
108 416.720257 14/11
109 420.578778 39/29
110 424.437299 23/18
111 428.295820 41/32, 32/25
112 432.154341 77/60
113 436.012862 9/7
114 439.871383 49/38
115 443.729904 31/24
116 447.588424 22/17
117 451.446945 83/64
118 455.305466 13/10
119 459.163987 30/23
120 463.022508 17/13, 49/32
121 466.881029 55/42, 38/29
122 470.739550 21/16
123 474.598071 25/19
124 478.456592 29/22
125 482.315113 33/25
126 486.173633 45/34, 49/37
127 490.032154 85/64
128 493.890675 278/209
129 497.749196 4/3
130 501.607717 322/241, 163/122
131 505.466238 75/56
132 509.324759 51/38
133 513.183280 35/26, 39/29
134 517.041801 31/23
135 520.900322 27/20
136 524.758842 23/17
137 528.617363 19/14
138 532.475884 34/25, 49/36, 87/64
139 536.334405 15/11
140 540.192926 41/30
141 544.051447 26/19, 37/27
142 547.909968 48/35
143 551.768489 11/8
144 555.627010 29/21, 40/29, 51/37
145 559.485531 105/76
146 563.344051 18/13
147 567.202572 25/18, 68/49
148 571.061093 89/64, 32/23
149 574.919614 39/28, 46/33
150 578.778135 88/63
151 582.636656 7/5
152 586.495177 87/62
153 590.353698 45/32, 128/91
154 594.212219 31/22, 148/105
155 598.070740 24/17, 41/29
156 601.929260 17/12, 58/41
157 605.787781 44/31, 105/74
158 609.646302 64/45, 91/64
159 613.504823 124/87
160 617.363344 10/7
161 621.221865 63/44
162 625.080386 33/23, 56/39
163 628.938907 23/16, 128/89
164 632.797428 36/25, 49/34
165 636.655949 13/9
166 640.514469 152/105
167 644.372990 29/20, 42/29, 74/51
168 648.231511 16/11, 93/64
169 652.090032 35/24
170 655.948553 19/13, 54/37
171 659.807074 60/41
172 663.665595 22/15
173 667.524116 25/17, 72/49, 128/87
174 671.382637 28/19
175 675.241158 34/23
176 679.099678 40/27
177 682.958199 46/31
178 686.816720 52/35, 58/39
179 690.675241 76/51
180 694.533762 112/75
181 698.392283 241/161, 244/163
182 702.250804 3/2
183 706.109325 209/139
184 709.967846 128/85
185 713.826367 68/45, 74/49
186 717.684887 50/33
187 721.543408 97/64
188 725.401929 38/25
189 729.260450 32/21
190 733.118971 84/55
191 736.977492 49/32, 26/17
192 740.836013 23/15
193 744.694534 20/13
194 748.553055 128/83
195 752.411576 17/11
196 756.270096 99/64
197 760.128617 48/31
198 763.987138 14/9
199 767.845659 120/77
200 771.704180 25/16
201 775.562701 36/23
202 779.421222 58/39
203 783.279743 11/7
204 787.138264 52/33
205 790.996785 30/19
206 794.855305 19/12
207 798.713826 46/29
208 802.572347 35/22, 62/39
209 806.430868 51/32, 78/49
210 810.289389 99/62
211 814.147910 8/5
212 818.006431 77/48
213 821.864952 37/23, 82/51, 45/28
214 825.723473 29/18, 66/41
215 829.581994 21/13
216 833.440514 34/21, 55/34, 89/55, 144/89
217 837.299035 60/37
218 841.157556 13/8
219 845.016077 44/27
220 848.874598 31/19
221 852.733119 18/11
222 856.591640 41/25, 64/39, 105/64
223 860.450161 23/14, 120/73
224 864.308682 28/17
225 868.167203 32/20, 38/23
226 872.025723 48/29
227 875.884244 58/35
228 879.742765 123/74, 128/77
229 883.601286 5/3
230 887.459807 182/109
231 891.318328 82/49, 92/55
232 895.176849 52/31, 62/37
233 899.035370 42/25
234 902.893891 32/19, 219/130
235 906.752412 27/16
236 910.610932 22/13
237 914.469453 39/23, 56/33
238 918.327974 17/10
239 922.186495 109/64
240 926.045016 29/17, 70/41, 41/24, 128/75
241 929.903537 65/38, 77/45
242 933.762058 12/7
243 937.620579 55/32
244 941.479100 50/29, 31/18
245 945.337621 19/11
246 949.196141 64/37
247 953.054662 26/15, 111/64
248 956.913183 40/23
249 960.771704 54/31, 68/39
250 964.630225 96/55
251 968.488746 7/4
252 972.347267 128/73
253 976.205788 58/33
254 980.064309 37/21, 44/25
255 983.922830 30/17, 113/64
256 987.781350 23/13
257 991.639871 62/35
258 995.498392 16/9
259 999.356913 98/55, 57/32
260 1003.215434 25/14
261 1007.073955 34/19
262 1010.932476 52/29, 70/39
263 1014.790997 88/49, 115/64
264 1018.649518 9/5
265 1022.508039 56/31
266 1026.366559 38/21
267 1030.225080 29/16
268 1034.083601 20/11
269 1037.942122 51/28, 82/45
270 1041.800643 31/17, 42/23
271 1045.659164 64/35, 117/64
272 1049.517685 11/6
273 1053.376206 68/37
274 1057.234727 46/25
275 1061.093248 24/13
276 1064.951768 37/20, 50/27
277 1068.810289 128/69
278 1072.668810 13/7, 119/64
279 1076.527331 54/29
280 1080.385852 28/15
281 1084.244373 58/31
282 1088.102894 15/8
283 1091.961415 62/33
284 1095.819936 32/17
285 1099.678457 17/9, 66/35
286 1103.536977 70/37, 121/64
287 1107.395498 36/19, 74/39
288 1111.254019 19/10
289 1115.112540 40/21
290 1118.971061 21/11
291 1122.829582 44/23
292 1126.688103 23/13
293 1130.546624 48/25, 25/13, 123/64
294 1134.405145 52/27
295 1138.263666 27/14, 56/29
296 1142.122186 29/15, 60/31
297 1145.980707 31/16, 64/33
298 1149.839228 33/17, 68/35, 35/18
299 1153.697749 72/37, 37/19, 76/39
300 1157.556270 39/20, 80/41, 41/21, 125/64
301 1161.414791 88/45, 45/23
302 1165.273312 96/49, 49/25, 100/51, 51/26
303 1169.131833 108/55, 55/28, 112/57, 57/29
304 1172.990354 124/63, 63/32, 128/65, 65/33
305 1176.848875 148/75
306 1180.707395 89/45
307 1184.565916 335/169
308 1188.424437 149/75
309 1192.282958 223/112, 448/225
310 1196.141479 896/449

Mapping of the 41-prime-limited add-73 77-odd-limit

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