512 samples long one cycle wave form at 44.1 kHz

Here you can find the right Hz to set your oscillators to when creating one cycle wave forms. The root is probably the most interesting but I have included the Hz for 512 harmonics that you can use to set harmonics/overtones that loops perfectly within 512 samples at 44.1 kHz.

Cycles Hz Hz trunc(2) Smpl/cycle
1 86,1328125 86,13 512
2 172,265625 172,27 256
3 258,3984375 258,40 170,6666667
4 344,53125 344,53 128
5 430,6640625 430,66 102,4
6 516,796875 516,80 85,33333333
7 602,9296875 602,93 73,14285714
8 689,0625 689,06 64
9 775,1953125 775,20 56,88888889
10 861,328125 861,33 51,2
11 947,4609375 947,46 46,54545455
12 1033,59375 1033,59 42,66666667
13 1119,726563 1119,73 39,38461538
14 1205,859375 1205,86 36,57142857
15 1291,992188 1291,99 34,13333333
16 1378,125 1378,13 32
17 1464,257813 1464,26 30,11764706
18 1550,390625 1550,39 28,44444444
19 1636,523438 1636,52 26,94736842
20 1722,65625 1722,66 25,6
21 1808,789063 1808,79 24,38095238
22 1894,921875 1894,92 23,27272727
23 1981,054688 1981,05 22,26086957
24 2067,1875 2067,19 21,33333333
25 2153,320313 2153,32 20,48
26 2239,453125 2239,45 19,69230769
27 2325,585938 2325,59 18,96296296
28 2411,71875 2411,72 18,28571429
29 2497,851563 2497,85 17,65517241
30 2583,984375 2583,98 17,06666667
31 2670,117188 2670,12 16,51612903
32 2756,25 2756,25 16
33 2842,382813 2842,38 15,51515152
34 2928,515625 2928,52 15,05882353
35 3014,648438 3014,65 14,62857143
36 3100,78125 3100,78 14,22222222
37 3186,914063 3186,91 13,83783784
38 3273,046875 3273,05 13,47368421
39 3359,179688 3359,18 13,12820513
40 3445,3125 3445,31 12,8
41 3531,445313 3531,45 12,48780488
42 3617,578125 3617,58 12,19047619
43 3703,710938 3703,71 11,90697674
44 3789,84375 3789,84 11,63636364
45 3875,976563 3875,98 11,37777778
46 3962,109375 3962,11 11,13043478
47 4048,242188 4048,24 10,89361702
48 4134,375 4134,38 10,66666667
49 4220,507813 4220,51 10,44897959
50 4306,640625 4306,64 10,24
51 4392,773438 4392,77 10,03921569
52 4478,90625 4478,91 9,846153846
53 4565,039063 4565,04 9,660377358
54 4651,171875 4651,17 9,481481481
55 4737,304688 4737,30 9,309090909
56 4823,4375 4823,44 9,142857143
57 4909,570313 4909,57 8,98245614
58 4995,703125 4995,70 8,827586207
59 5081,835938 5081,84 8,677966102
60 5167,96875 5167,97 8,533333333
61 5254,101563 5254,10 8,393442623
62 5340,234375 5340,23 8,258064516
63 5426,367188 5426,37 8,126984127
64 5512,5 5512,50 8
65 5598,632813 5598,63 7,876923077
66 5684,765625 5684,77 7,757575758
67 5770,898438 5770,90 7,641791045
68 5857,03125 5857,03 7,529411765
69 5943,164063 5943,16 7,420289855
70 6029,296875 6029,30 7,314285714
71 6115,429688 6115,43 7,211267606
72 6201,5625 6201,56 7,111111111
73 6287,695313 6287,70 7,01369863
74 6373,828125 6373,83 6,918918919
75 6459,960938 6459,96 6,826666667
76 6546,09375 6546,09 6,736842105
77 6632,226563 6632,23 6,649350649
78 6718,359375 6718,36 6,564102564
79 6804,492188 6804,49 6,481012658
80 6890,625 6890,63 6,4
81 6976,757813 6976,76 6,320987654
82 7062,890625 7062,89 6,243902439
83 7149,023438 7149,02 6,168674699
84 7235,15625 7235,16 6,095238095
85 7321,289063 7321,29 6,023529412
86 7407,421875 7407,42 5,953488372
87 7493,554688 7493,55 5,885057471
88 7579,6875 7579,69 5,818181818
89 7665,820313 7665,82 5,752808989
90 7751,953125 7751,95 5,688888889
91 7838,085938 7838,09 5,626373626
92 7924,21875 7924,22 5,565217391
93 8010,351563 8010,35 5,505376344
94 8096,484375 8096,48 5,446808511
95 8182,617188 8182,62 5,389473684
96 8268,75 8268,75 5,333333333
97 8354,882813 8354,88 5,278350515
98 8441,015625 8441,02 5,224489796
99 8527,148438 8527,15 5,171717172
100 8613,28125 8613,28 5,12
101 8699,414063 8699,41 5,069306931
102 8785,546875 8785,55 5,019607843
103 8871,679688 8871,68 4,970873786
104 8957,8125 8957,81 4,923076923
105 9043,945313 9043,95 4,876190476
106 9130,078125 9130,08 4,830188679
107 9216,210938 9216,21 4,785046729
108 9302,34375 9302,34 4,740740741
109 9388,476563 9388,48 4,697247706
110 9474,609375 9474,61 4,654545455
111 9560,742188 9560,74 4,612612613
112 9646,875 9646,88 4,571428571
113 9733,007813 9733,01 4,530973451
114 9819,140625 9819,14 4,49122807
115 9905,273438 9905,27 4,452173913
116 9991,40625 9991,41 4,413793103
117 10077,53906 10077,54 4,376068376
118 10163,67188 10163,67 4,338983051
119 10249,80469 10249,80 4,302521008
120 10335,9375 10335,94 4,266666667
121 10422,07031 10422,07 4,231404959
122 10508,20313 10508,20 4,196721311
123 10594,33594 10594,34 4,162601626
124 10680,46875 10680,47 4,129032258
125 10766,60156 10766,60 4,096
126 10852,73438 10852,73 4,063492063
127 10938,86719 10938,87 4,031496063
128 11025 11025,00 4
129 11111,13281 11111,13 3,968992248
130 11197,26563 11197,27 3,938461538
131 11283,39844 11283,40 3,908396947
132 11369,53125 11369,53 3,878787879
133 11455,66406 11455,66 3,84962406
134 11541,79688 11541,80 3,820895522
135 11627,92969 11627,93 3,792592593
136 11714,0625 11714,06 3,764705882
137 11800,19531 11800,20 3,737226277
138 11886,32813 11886,33 3,710144928
139 11972,46094 11972,46 3,683453237
140 12058,59375 12058,59 3,657142857
141 12144,72656 12144,73 3,631205674
142 12230,85938 12230,86 3,605633803
143 12316,99219 12316,99 3,58041958
144 12403,125 12403,13 3,555555556
145 12489,25781 12489,26 3,531034483
146 12575,39063 12575,39 3,506849315
147 12661,52344 12661,52 3,482993197
148 12747,65625 12747,66 3,459459459
149 12833,78906 12833,79 3,436241611
150 12919,92188 12919,92 3,413333333
151 13006,05469 13006,05 3,390728477
152 13092,1875 13092,19 3,368421053
153 13178,32031 13178,32 3,346405229
154 13264,45313 13264,45 3,324675325
155 13350,58594 13350,59 3,303225806
156 13436,71875 13436,72 3,282051282
157 13522,85156 13522,85 3,261146497
158 13608,98438 13608,98 3,240506329
159 13695,11719 13695,12 3,220125786
160 13781,25 13781,25 3,2
161 13867,38281 13867,38 3,180124224
162 13953,51563 13953,52 3,160493827
163 14039,64844 14039,65 3,141104294
164 14125,78125 14125,78 3,12195122
165 14211,91406 14211,91 3,103030303
166 14298,04688 14298,05 3,084337349
167 14384,17969 14384,18 3,065868263
168 14470,3125 14470,31 3,047619048
169 14556,44531 14556,45 3,029585799
170 14642,57813 14642,58 3,011764706
171 14728,71094 14728,71 2,994152047
172 14814,84375 14814,84 2,976744186
173 14900,97656 14900,98 2,959537572
174 14987,10938 14987,11 2,942528736
175 15073,24219 15073,24 2,925714286
176 15159,375 15159,38 2,909090909
177 15245,50781 15245,51 2,892655367
178 15331,64063 15331,64 2,876404494
179 15417,77344 15417,77 2,860335196
180 15503,90625 15503,91 2,844444444
181 15590,03906 15590,04 2,828729282
182 15676,17188 15676,17 2,813186813
183 15762,30469 15762,30 2,797814208
184 15848,4375 15848,44 2,782608696
185 15934,57031 15934,57 2,767567568
186 16020,70313 16020,70 2,752688172
187 16106,83594 16106,84 2,737967914
188 16192,96875 16192,97 2,723404255
189 16279,10156 16279,10 2,708994709
190 16365,23438 16365,23 2,694736842
191 16451,36719 16451,37 2,680628272
192 16537,5 16537,50 2,666666667
193 16623,63281 16623,63 2,652849741
194 16709,76563 16709,77 2,639175258
195 16795,89844 16795,90 2,625641026
196 16882,03125 16882,03 2,612244898
197 16968,16406 16968,16 2,598984772
198 17054,29688 17054,30 2,585858586
199 17140,42969 17140,43 2,572864322
200 17226,5625 17226,56 2,56
201 17312,69531 17312,70 2,547263682
202 17398,82813 17398,83 2,534653465
203 17484,96094 17484,96 2,522167488
204 17571,09375 17571,09 2,509803922
205 17657,22656 17657,23 2,497560976
206 17743,35938 17743,36 2,485436893
207 17829,49219 17829,49 2,473429952
208 17915,625 17915,63 2,461538462
209 18001,75781 18001,76 2,449760766
210 18087,89063 18087,89 2,438095238
211 18174,02344 18174,02 2,426540284
212 18260,15625 18260,16 2,41509434
213 18346,28906 18346,29 2,403755869
214 18432,42188 18432,42 2,392523364
215 18518,55469 18518,55 2,381395349
216 18604,6875 18604,69 2,37037037
217 18690,82031 18690,82 2,359447005
218 18776,95313 18776,95 2,348623853
219 18863,08594 18863,09 2,337899543
220 18949,21875 18949,22 2,327272727
221 19035,35156 19035,35 2,316742081
222 19121,48438 19121,48 2,306306306
223 19207,61719 19207,62 2,295964126
224 19293,75 19293,75 2,285714286
225 19379,88281 19379,88 2,275555556
226 19466,01563 19466,02 2,265486726
227 19552,14844 19552,15 2,255506608
228 19638,28125 19638,28 2,245614035
229 19724,41406 19724,41 2,23580786
230 19810,54688 19810,55 2,226086957
231 19896,67969 19896,68 2,216450216
232 19982,8125 19982,81 2,206896552
233 20068,94531 20068,95 2,197424893
234 20155,07813 20155,08 2,188034188
235 20241,21094 20241,21 2,178723404
236 20327,34375 20327,34 2,169491525
237 20413,47656 20413,48 2,160337553
238 20499,60938 20499,61 2,151260504
239 20585,74219 20585,74 2,142259414
240 20671,875 20671,88 2,133333333
241 20758,00781 20758,01 2,124481328
242 20844,14063 20844,14 2,115702479
243 20930,27344 20930,27 2,106995885
244 21016,40625 21016,41 2,098360656
245 21102,53906 21102,54 2,089795918
246 21188,67188 21188,67 2,081300813
247 21274,80469 21274,80 2,072874494
248 21360,9375 21360,94 2,064516129
249 21447,07031 21447,07 2,0562249
250 21533,20313 21533,20 2,048
251 21619,33594 21619,34 2,039840637
252 21705,46875 21705,47 2,031746032
253 21791,60156 21791,60 2,023715415
254 21877,73438 21877,73 2,015748031
255 21963,86719 21963,87 2,007843137
256 22050 22050,00 2
257 22136,13281 22136,13 1,992217899
258 22222,26563 22222,27 1,984496124
259 22308,39844 22308,40 1,976833977
260 22394,53125 22394,53 1,969230769
261 22480,66406 22480,66 1,961685824
262 22566,79688 22566,80 1,954198473
263 22652,92969 22652,93 1,946768061
264 22739,0625 22739,06 1,939393939
265 22825,19531 22825,20 1,932075472
266 22911,32813 22911,33 1,92481203
267 22997,46094 22997,46 1,917602996
268 23083,59375 23083,59 1,910447761
269 23169,72656 23169,73 1,903345725
270 23255,85938 23255,86 1,896296296
271 23341,99219 23341,99 1,889298893
272 23428,125 23428,13 1,882352941
273 23514,25781 23514,26 1,875457875
274 23600,39063 23600,39 1,868613139
275 23686,52344 23686,52 1,861818182
276 23772,65625 23772,66 1,855072464
277 23858,78906 23858,79 1,848375451
278 23944,92188 23944,92 1,841726619
279 24031,05469 24031,05 1,835125448
280 24117,1875 24117,19 1,828571429
281 24203,32031 24203,32 1,822064057
282 24289,45313 24289,45 1,815602837
283 24375,58594 24375,59 1,809187279
284 24461,71875 24461,72 1,802816901
285 24547,85156 24547,85 1,796491228
286 24633,98438 24633,98 1,79020979
287 24720,11719 24720,12 1,783972125
288 24806,25 24806,25 1,777777778
289 24892,38281 24892,38 1,771626298
290 24978,51563 24978,52 1,765517241
291 25064,64844 25064,65 1,759450172
292 25150,78125 25150,78 1,753424658
293 25236,91406 25236,91 1,747440273
294 25323,04688 25323,05 1,741496599
295 25409,17969 25409,18 1,73559322
296 25495,3125 25495,31 1,72972973
297 25581,44531 25581,45 1,723905724
298 25667,57813 25667,58 1,718120805
299 25753,71094 25753,71 1,712374582
300 25839,84375 25839,84 1,706666667
301 25925,97656 25925,98 1,700996678
302 26012,10938 26012,11 1,695364238
303 26098,24219 26098,24 1,689768977
304 26184,375 26184,38 1,684210526
305 26270,50781 26270,51 1,678688525
306 26356,64063 26356,64 1,673202614
307 26442,77344 26442,77 1,667752443
308 26528,90625 26528,91 1,662337662
309 26615,03906 26615,04 1,656957929
310 26701,17188 26701,17 1,651612903
311 26787,30469 26787,30 1,646302251
312 26873,4375 26873,44 1,641025641
313 26959,57031 26959,57 1,635782748
314 27045,70313 27045,70 1,630573248
315 27131,83594 27131,84 1,625396825
316 27217,96875 27217,97 1,620253165
317 27304,10156 27304,10 1,615141956
318 27390,23438 27390,23 1,610062893
319 27476,36719 27476,37 1,605015674
320 27562,5 27562,50 1,6
321 27648,63281 27648,63 1,595015576
322 27734,76563 27734,77 1,590062112
323 27820,89844 27820,90 1,585139319
324 27907,03125 27907,03 1,580246914
325 27993,16406 27993,16 1,575384615
326 28079,29688 28079,30 1,570552147
327 28165,42969 28165,43 1,565749235
328 28251,5625 28251,56 1,56097561
329 28337,69531 28337,70 1,556231003
330 28423,82813 28423,83 1,551515152
331 28509,96094 28509,96 1,546827795
332 28596,09375 28596,09 1,542168675
333 28682,22656 28682,23 1,537537538
334 28768,35938 28768,36 1,532934132
335 28854,49219 28854,49 1,528358209
336 28940,625 28940,63 1,523809524
337 29026,75781 29026,76 1,519287834
338 29112,89063 29112,89 1,514792899
339 29199,02344 29199,02 1,510324484
340 29285,15625 29285,16 1,505882353
341 29371,28906 29371,29 1,501466276
342 29457,42188 29457,42 1,497076023
343 29543,55469 29543,55 1,49271137
344 29629,6875 29629,69 1,488372093
345 29715,82031 29715,82 1,484057971
346 29801,95313 29801,95 1,479768786
347 29888,08594 29888,09 1,475504323
348 29974,21875 29974,22 1,471264368
349 30060,35156 30060,35 1,467048711
350 30146,48438 30146,48 1,462857143
351 30232,61719 30232,62 1,458689459
352 30318,75 30318,75 1,454545455
353 30404,88281 30404,88 1,450424929
354 30491,01563 30491,02 1,446327684
355 30577,14844 30577,15 1,442253521
356 30663,28125 30663,28 1,438202247
357 30749,41406 30749,41 1,434173669
358 30835,54688 30835,55 1,430167598
359 30921,67969 30921,68 1,426183844
360 31007,8125 31007,81 1,422222222
361 31093,94531 31093,95 1,418282548
362 31180,07813 31180,08 1,414364641
363 31266,21094 31266,21 1,41046832
364 31352,34375 31352,34 1,406593407
365 31438,47656 31438,48 1,402739726
366 31524,60938 31524,61 1,398907104
367 31610,74219 31610,74 1,395095368
368 31696,875 31696,88 1,391304348
369 31783,00781 31783,01 1,387533875
370 31869,14063 31869,14 1,383783784
371 31955,27344 31955,27 1,380053908
372 32041,40625 32041,41 1,376344086
373 32127,53906 32127,54 1,372654155
374 32213,67188 32213,67 1,368983957
375 32299,80469 32299,80 1,365333333
376 32385,9375 32385,94 1,361702128
377 32472,07031 32472,07 1,358090186
378 32558,20313 32558,20 1,354497354
379 32644,33594 32644,34 1,350923483
380 32730,46875 32730,47 1,347368421
381 32816,60156 32816,60 1,343832021
382 32902,73438 32902,73 1,340314136
383 32988,86719 32988,87 1,336814621
384 33075 33075,00 1,333333333
385 33161,13281 33161,13 1,32987013
386 33247,26563 33247,27 1,32642487
387 33333,39844 33333,40 1,322997416
388 33419,53125 33419,53 1,319587629
389 33505,66406 33505,66 1,316195373
390 33591,79688 33591,80 1,312820513
391 33677,92969 33677,93 1,309462916
392 33764,0625 33764,06 1,306122449
393 33850,19531 33850,20 1,302798982
394 33936,32813 33936,33 1,299492386
395 34022,46094 34022,46 1,296202532
396 34108,59375 34108,59 1,292929293
397 34194,72656 34194,73 1,289672544
398 34280,85938 34280,86 1,286432161
399 34366,99219 34366,99 1,28320802
400 34453,125 34453,13 1,28
401 34539,25781 34539,26 1,27680798
402 34625,39063 34625,39 1,273631841
403 34711,52344 34711,52 1,270471464
404 34797,65625 34797,66 1,267326733
405 34883,78906 34883,79 1,264197531
406 34969,92188 34969,92 1,261083744
407 35056,05469 35056,05 1,257985258
408 35142,1875 35142,19 1,254901961
409 35228,32031 35228,32 1,251833741
410 35314,45313 35314,45 1,248780488
411 35400,58594 35400,59 1,245742092
412 35486,71875 35486,72 1,242718447
413 35572,85156 35572,85 1,239709443
414 35658,98438 35658,98 1,236714976
415 35745,11719 35745,12 1,23373494
416 35831,25 35831,25 1,230769231
417 35917,38281 35917,38 1,227817746
418 36003,51563 36003,52 1,224880383
419 36089,64844 36089,65 1,221957041
420 36175,78125 36175,78 1,219047619
421 36261,91406 36261,91 1,216152019
422 36348,04688 36348,05 1,213270142
423 36434,17969 36434,18 1,210401891
424 36520,3125 36520,31 1,20754717
425 36606,44531 36606,45 1,204705882
426 36692,57813 36692,58 1,201877934
427 36778,71094 36778,71 1,199063232
428 36864,84375 36864,84 1,196261682
429 36950,97656 36950,98 1,193473193
430 37037,10938 37037,11 1,190697674
431 37123,24219 37123,24 1,187935035
432 37209,375 37209,38 1,185185185
433 37295,50781 37295,51 1,182448037
434 37381,64063 37381,64 1,179723502
435 37467,77344 37467,77 1,177011494
436 37553,90625 37553,91 1,174311927
437 37640,03906 37640,04 1,171624714
438 37726,17188 37726,17 1,168949772
439 37812,30469 37812,30 1,166287016
440 37898,4375 37898,44 1,163636364
441 37984,57031 37984,57 1,160997732
442 38070,70313 38070,70 1,158371041
443 38156,83594 38156,84 1,155756208
444 38242,96875 38242,97 1,153153153
445 38329,10156 38329,10 1,150561798
446 38415,23438 38415,23 1,147982063
447 38501,36719 38501,37 1,14541387
448 38587,5 38587,50 1,142857143
449 38673,63281 38673,63 1,140311804
450 38759,76563 38759,77 1,137777778
451 38845,89844 38845,90 1,135254989
452 38932,03125 38932,03 1,132743363
453 39018,16406 39018,16 1,130242826
454 39104,29688 39104,30 1,127753304
455 39190,42969 39190,43 1,125274725
456 39276,5625 39276,56 1,122807018
457 39362,69531 39362,70 1,120350109
458 39448,82813 39448,83 1,11790393
459 39534,96094 39534,96 1,11546841
460 39621,09375 39621,09 1,113043478
461 39707,22656 39707,23 1,110629067
462 39793,35938 39793,36 1,108225108
463 39879,49219 39879,49 1,105831533
464 39965,625 39965,63 1,103448276
465 40051,75781 40051,76 1,101075269
466 40137,89063 40137,89 1,098712446
467 40224,02344 40224,02 1,096359743
468 40310,15625 40310,16 1,094017094
469 40396,28906 40396,29 1,091684435
470 40482,42188 40482,42 1,089361702
471 40568,55469 40568,55 1,087048832
472 40654,6875 40654,69 1,084745763
473 40740,82031 40740,82 1,082452431
474 40826,95313 40826,95 1,080168776
475 40913,08594 40913,09 1,077894737
476 40999,21875 40999,22 1,075630252
477 41085,35156 41085,35 1,073375262
478 41171,48438 41171,48 1,071129707
479 41257,61719 41257,62 1,068893528
480 41343,75 41343,75 1,066666667
481 41429,88281 41429,88 1,064449064
482 41516,01563 41516,02 1,062240664
483 41602,14844 41602,15 1,060041408
484 41688,28125 41688,28 1,05785124
485 41774,41406 41774,41 1,055670103
486 41860,54688 41860,55 1,053497942
487 41946,67969 41946,68 1,051334702
488 42032,8125 42032,81 1,049180328
489 42118,94531 42118,95 1,047034765
490 42205,07813 42205,08 1,044897959
491 42291,21094 42291,21 1,042769857
492 42377,34375 42377,34 1,040650407
493 42463,47656 42463,48 1,038539554
494 42549,60938 42549,61 1,036437247
495 42635,74219 42635,74 1,034343434
496 42721,875 42721,88 1,032258065
497 42808,00781 42808,01 1,030181087
498 42894,14063 42894,14 1,02811245
499 42980,27344 42980,27 1,026052104
500 43066,40625 43066,41 1,024
501 43152,53906 43152,54 1,021956088
502 43238,67188 43238,67 1,019920319
503 43324,80469 43324,80 1,017892644
504 43410,9375 43410,94 1,015873016
505 43497,07031 43497,07 1,013861386
506 43583,20313 43583,20 1,011857708
507 43669,33594 43669,34 1,009861933
508 43755,46875 43755,47 1,007874016
509 43841,60156 43841,60 1,00589391
510 43927,73438 43927,73 1,003921569
511 44013,86719 44013,87 1,001956947
512 44100 44100,00 1