Wednesday, December 13, 2023

Cycles Period Tables │ Foundation for the Study of Cycles

The following table of cycle period lengths is taken from the Cycles - Classic Library Collection published by the Foundation for the Study of Cycles. The numbers after the cycle series name and description of the cycle are page references. The period lengths are sometimes stated as a whole number of years, which may mean that the cycle period is not known accurately or that the period was close to a whole number of years. 
 

In some cases periods such as 3.33 years are given which may mean about 3 and 1/3 years which is presumably more accurate than a whole number of years. There seems to be a tendency to use 1/2, 1/3 and 1/6 of years, perhaps because these are whole numbers of months. In that case the accuracy may be about 1 month. In other cases (most notably Dewey’s analysis) the periods are stated with more decimal places and probably does truly reflect the accuracy of the results, e.g. 5.92 or 5.537 years.
 
Cycle Lengths in Hours  
   
Duration Description; Page Numbers
   
1 hour and 4 minutes cycle eruption of Old Faithful geyser; 127
12.5-hour cycle tides; 80
12.75-hour cycle tides; 65
24-hour cycle the day; 80; 264
diurnal cycle earthquakes; 127
24-hour cycle light and dark on earth; 65
   
   
Cycle Lengths in Days  


7-day cycle aftershock; 284
8-day cycle aftershock; 284
10-day cycle aftershock; 284
12-day cycle aftershock; 284
13.25-16.25-day cycle stock prices; 740
14-day cycle aftershock; 284
14.75-day (2.1-week) cycle stock prices; 741-742
14.8-day (2.-11-week) cycle earthquakes; 127
14-28-day (2-4 week) cycle amorousness of women; 281; 283
29.5-day (4.21-week) cycle births of infants; 278; 281-283
29.6-day (4.23-week) cycle earthquakes; 127
34 market-day cycle sugar prices; 21-22
120.166-day (17.14-week) cycle stock prices; 467-496
387-day (55.29-week) cycle brightness of T Cephei; 122-123
433-day (61.86-week) cycle variations of latitude; 732
   
   
Cycle Lengths in Weeks  
   
2-week cycle insect swarms; 10
2-week cycle stock market; 10
17-week (3.88-month) cycle stock prices; 270; 402
17-week (3.88-month) cycle the sun; 402
17-week (3.88-month) cycle sunspots; 119; 232; 270
17.166-week (3.915-month) cycle stock prices; (Dow Jones Indus­trial Averages); 467-496
17.166-week (3.915-month) cycle sunspots; 232-233; 492
   
   
Cycle Lengths in Months  
   
3-month (13.04-week) cycle textile plant sales; 40-44
3.937-month (17.1-week) cycle stock prices (industrial); 63
4-month (17.39-week) cycle electric potential of trees; 63
4-month (17.39-week) cycle stock prices; 467
4.05-month (17.63-week) cycle sales of Company G; 63
5.9-month (25.65-week) cycle stock prices (industrial); 63
6-month (26.09-week) cycle earthquakes; 127
6-month (26.09-week) cycle electric potential of trees; 63; 280; 309-311
6.33-month (27.52-week) cycle stock prices; 403
6.33-month (27.52-week) cycle stock prices (industrial); 521
6.37-month (27.69-week) cycle stock prices; 521
6.41-month (27.87-week) cycle stock prices; 403
6.41-month (27.87-week) cycle stock prices (industrial); 520
7.92-month (34.44-week) cycle sales of Company G; 63
8.8-month (38.26-week) cycle sales of Company G; 63
9-month (39.13-week) cycle bank debits; 63
9.18-month (39.91-week) cycle ton miles (Canadian Pacific Rail­way); 41-43; 359-361; 372-377
9.2-month (40-week) cycle stock prices (industrial); 360
9.7-month (42.18-week) cycle breeding of sooty terns; 278; 286-287
11.9-month (51.74-week) cycle stock prices (industrial); 63
12-month (52.18-week) cycle earth around sun; 65
12-month (52.18-week) cycle earthquakes; 127
12-month (52.18-week) cycle spring flowers cause; 80
12-month (52.18-week) cycle temperature of air; 65; 732; 740
12-month (52.18-week) cycle ton miles (Canadian Pacific Rail­way); 359
12.01-month (1.01-year) cycle pig iron; 20
12.01-month (1.01-year) cycle plagues; 20
12.36-month (1.03-year) cycle temperature; 734
13.3-month (1.11-year) cycle stock prices (industrial); 63
15.3-month (1.28-year) cycle stock prices; 465
17.8-month (1.48-year) cycle stock prices; 63
21-month (1.75-year) cycle pipe fittings; 47-49; 388-394
23-month (1.92-year) cycle stock prices; 465
23-month (1.92-year) cycle textile production; 19-20
23.6-month (1.94-year) cycle automobile factory sales; 63
23.7-month (1.98-year) cycle stock prices (industrial); 63
24-month cycle cotton production; 325
24-month cycle evening grosbeak; 279
24-month cycle rayon production; 380
24-month cycle sweet potato production; 382
24.2-month (2.02-year) cycle economic activity; 290
30-month (2.5-year) cycle pipe fittings; 47-49; 388-394
30.29-month (2.524-year) cycle lake levels; 137; 139
30.66-month (2.555-year) cycle lake levels; 137; 139
31.04-31.13-month (2.587-2.594-year) cycle lake levels; 137; 139
32.41-month (2.701-year) cycle lake levels; 137; 139
32.82-month (2.735-year) cycle wheat price index; 731; 734
33-month (2.75-year) cycle automobile factory sales; 360
33-month (2.75-year) cycle bond prices; 19
33-month (2.75-year) cycle building activity and construction (residential); 19; 313; 342; 360
33-month (2.75-year) cycle climate; 360-361
33-month (2.75-year) cycle consumer goods; 19
33-month (2.75-year) cycle copper prices; 360
33-month (2.75-year) cycle General Motors sales; 360
33-month (2.75-year) cycle pig iron prices; 360
33-month (2.75-year) cycle prices; 19; 360
33-month (2.75-year) cycle rayon production; 360; 380
33-month (2.75-year) cycle retail sales; 19
33-month (2.75-year) cycle sales of an industrial company; 360
33-month (2.75-year) cycle ton miles (Canadian Pacific Rail­way); 359-361; 378-379
33-month (2.75-year) cycle wheat prices; 360
33.46-33.65-month cycle
lake levels; 137; 139
34.86-month (2.905-year) cycle lake levels; 137; 139
35.6-month (2.97-year) cycle stock prices; 63
   
   
Cycle Lengths in Years  
   
3-year cycle automobile factory sales; 63
3-year cycle General Electric sales; 317
3-year cycle influenza; 20
3-year cycle pneumonia; 20
3-year cycle varves; 125
3-3.5-year cycle business activity; 740
3.006-year (36.072-month) cycle lake levels; 137; 139
3.02-year (36.2-month) cycle stock prices; 63
3.13-year (37.56-month) cycle lake levels; 137; 139
3.25-year (39-month) cycle commercial paper rates; 500
3.25-year (39-month) cycle lake levels; 137; 139
3.28-3.29-year (39.36-39.48-month) lake levels; 137; 139
3.33-year (40-month) cycle commercial paper rates; 500
3.33-year (40-month) cycle economic time series (clearings; commodity prices; interest rates); 500
3.33- or 3.42-year (40- or 41-month) economy; 16
3.34-year (40.08-month) cycle Like level;; 137; 139
3.39-year (40.7-month) cycle stock prices (industrial); 497
3.4 year (40.8-month) cycle pig iron production; 13-16
3.4 year (40.8-month) cycle variation in solar radiation; 16
3.4 year (40.8-month) cycle Westinghouse Electric and Manufacturing Co. sales and production; 17
3.42-year (41 month) cycle bank debits; 505
3.42-year (41 month) cycle commercial paper rates; 500
3.42-year (41 month) cycle commodities; 16
3.42-year (41 month) cycle failures; 588-597
3.42-year (41 month) cycle pig iron production; 13; 44; 48; 64
3.42-year (41 month) cycle pipe fittings; 47-49; 388; 394
3.42-year (41 month) cycle prices; 500
3.42-year (41 month) cycle production 16; 500
3.42-year (41 month) cycle sales; 16
3.42-year (41 month) cycle steel production; 16
3.42-year (41 month) cycle stock prices; 16
3.42-year (41 month) cycle stock prices (industrial); 402-403; 497-506
3.46-3.48 year (41.5-41.8-month) lake levels; 137; 139
3.5-year (42-month) cycle business; 314; 395-400
3.5-year (42-month) cycle pig iron production 347
3.5-year (42-month) cycle rayon production; 380
3.54-year (42.48-month) cycle war; 638; 640
3.60-3.62-year (43.20-43.44-month) lake levels; 137; 139
3.67-year (44-month) cycle pipe fittings; 47-49; 388-394
3.69-year (44.3-month) cycle pine grosbeak; 751
3.767-year (45.20-month) cycle weather; 761-762; 764
3.8154-year (45.78-month) cycle stock prices; 456
3.83-year (46-month) cycle stock prices; 402; 471; 456-466
3.91-3.92-year (46.92-47.04-month) lake levels; 137; 139
4-year cycle cheese consumption; 272; 313; 344 34l
4-year cycle mice plagues; 10-11
4-year cycle pine grosbeak; 751
4-year cycle sunspots; alternate cycles reversed; 272
4.14-year (49.7-month) cycle lake levels; 137; 139
4.2-year (50.4-month) cycle love rings; 58
4.2-year (50.4-month) cycle weather; 58
4.222-year (50.664-month) cycle deaths in Massachusetts; 757
4.222-year (50.664-month) cycle temperature; 750-764
4.222-year (50.664-month) cycle tree rings (Arizona); 752; 757
4.222-year (50.664-month) cycle varves; 752
4.225-year (50.7-month) cycle pine grosbeak; 751
4.25-year (51-month) cycle dates of thawing and freezing of rives; 751
4.25-year (51-month) cycle river break-up; 752
4.33-year (52-month) cycle lake levels; 137; 139
4.37-year (52.44 month) cycle sales of Company G; 63
4.4-year (52.8 month) cycle stock prices (industrial); 63
4.4-year (52.8 month) cycle stock prices (railroad); 63
4.41 year (52.92-month) cycle advertising effectiveness; 63
4.41 year (52.92-month) cycle temperature; 63
4.41 year (52.92-month) cycle wheat prices; 63
4.418-year (53.016-month) cycle wear; 761-762
4.44-year (53.28-month) cycle pig iron price;; 63
4.50-year (54-month) cycle lake levels; 137; 139
4.77-year (57.24-month) cycle lake levels; 137-138
4.8-year (57.6-month) cycle sunspots; 270
5.0-year cycle post office revenues; 598; 600
5.0-year cycle stock price; 411
5.107-year (61.284 month) cycle international bellies; 692
5.2-year (62.4-month) cycle ton miles (Canadian Pacific Rail­way) 359; 364-367
5.20-5.28-year (62.40-63.36-month) lake levels; 137-138
5.289-year (63.468-month) cycle post office revenues; 598; 600
5.377-year (63.524-month) cycle international battles; 692
5.445-year (65.340.month) cycle international battles; 692
5.47-year (6i64-month) cycle com prices; 569
5.4-5.6-year (64.8-67.2-month) cotton prices; 315
5.4-5.6-year (64.8-67.2-month) pig iron prices; 315
5.4-5.6-year (64.8-67.2-month) sales of manufacturing companies; 315
5.4-5.6-year (64.8-67.2-month) sunspots; 315
5.4-5.6-year (64.8-67.2-month) weather; 315
5.5-year (66-month) cycle advertising effectiveness; 74
5.5-year (66-month) cycle airplane traffic; 74; 312; 315
5.5-year (66-month) cycle bank debits; 74
5.5-year (66-month) cycle business activity; general; 74
5.5-year (66-month) cycle business recessions; 74
5.5-year (66-month) cycle cement stocks; 74
5.5-year (66-month) cycle coal (bituminous) prices; 74
5.5-year (66-month) cycle cocoa bean prices; 74
5.5-year (66-month) cycle commercial crises; 74
5.5-year (66-month) cycle com prices; 74; 315; 382; 527; 528; 565-574; 741
5.5-year (66-month) cycle coin production; 74
5.5-year (66-month) cycle cotton prices; 74
5.5-year (66-month) cycle Dow Chemical Co. plant expansions; 74
5.5-year (66-month) cycle economic affairs; 73
5.5-year (66-month) cycle hog prices; 74
5.5-year (66-month) cycle international battles; 693
5.5-year (66-month) cycle manufacturing production; 74
5.5-year (66-month) cycle prices; 74; 315; 382; 527-528; 565; 574; 741
5.5-year (66-month) cycle purchasing power of hogs; 74
5.5-year (66-month) cycle pig iron prices; 74
5.5-year (66-month) cycle stock prices; 315
5.5-year (66-month) cycle stock prices (industrial); 74
5.5-year (66-month) cycle stock prices (railroad); 74
5.5-year (66-month) cycle the sun; 74
5.5-year (66-month) cycle wheat prices; 74
5.5-year (66-month) cycle wildlife abundance; 74
5.537-year (66.444-month) cycle post office revenues; 598; 600
5.57-year (66.84-month) cycle cotton prices; 569
5.575-year (66.9 month) cycle cotton prices; 558
5.6 year (67.2-month) cycle sunspots; 270
5.6 year (67.2-month) cycle sweet potato production; 314; 382-384
5.6 year (67.2-month) cycle wheat prices; 314; 358
5.6 year (67.2-month) cycle wheat production; 314; 358
5.602-year (67.224-month) cycle international battles; 692
5.61-yea; (67.3-month) cycle coin prices; 571
5.62-year (67.5-month) cycle corn prices; 741
5.625-year (67.5 month) cycle sunspots; 231; 270
5.692-year (68.304-month) cycle international battles; 692
5.737-year (68.844-month) cycle international war; 692
5.790-year (69.48-month) cycle post office revenues; 598; 600
5.887-year (70.644-month) cycle sunspots alternate cycles reversed; 75
5.89-year (70.68-month) cycle sunspots; 7475; 119; 227-231
5.9-year; (70.8-month) cycle business activity; general; 74
5.9-year; (70.8-month) cycle business failure;; 63; 74-75; 588; 590-597
5.9-year; (70.8-month) cycle coal stock price; 74
5.9-year; (70.8-month) cycle copper prices; 74
5.9-year; (70.8-month) cycle copper share prices; 74
5.9-year; (70.8-month) cycle cotton prices; 73-74
5.9-year; (70.8-month) cycle gasoline; 73
5.9-year; (70.8-month) cycle grouse; 73; 75
5.9-year; (70.8-month) cycle interest rates; long term; 74
5.9-year; (70.8-month) cycle knit underwear; 75
5.9-year; (70.8-month) cycle pig iron prices; 74; 590
5.9-year; (70.8-month) cycle prices; 73-74
5.9-year; (70.8-month) cycle stock prices (combined); 74
5.9-year; (70.8-month) cycle stock price (industrial); 74
5.9-year; (70.8-month) cycle stock prices (railroad); 63; 74; 590
5.9-year; (70.8-month) cycle sunspots; alternate cycles reversed; 73
5.9-year; (70.8-month) cycle war; 640
5.9-year; (70.8-month) cycle wheat prices; 73
5.91-year (70.9 month) cycle business failure liabilities; 227
5.91-year (70.9 month) cycle coal stock prices; 75
5.91-year (70.9 month) cycle copper prices; 63; 75; 227
5.91-year (70.9 month) cycle copper share prices; 75
5.91-year (70.9 month) cycle cotton prices; 63; 75; 227; 528; 558-564; 591
5.91-year (70.9 month) cycle economic affairs; 73
5.91-year (70.9 month) cycle pig iron prices; 63; 75; 227
5.91-year (70.9 month) cycle stock prices (combined); 75; 227; 513
5.91-year (70.9 month) cycle stock prices (industrial); 227
5.91-year (70.9 month) cycle stock prices (railroad); 227
5.91-year (70.9 month) cycle sunspots; 590
5.91-year (70.9 month) cycle sunspots; alternate cycles reversed; 63; 558
5.91-year (70.9 month) cycle tree ring widths; 63; 558
5.91 or 5.92-year (70.9 or 71-month) economic series; 74
5.91 or 5.92-year (70.9 or 71-month) stock prices; 403; 513-5t8
5.92-year (71-month) cycle business activity; 75
5.92-year (71-month) cycle interest rates; long term; 76
5.92-year (71-month) cycle knit underwear; 75
5.92-year (71-month) cycle stock prices (railroad); 75; 513; 516-518
5.93-year (71.16-month) cycle stock prices (industrial); 63
5.93-year (71.16-month) cycle wheat prices; 76
5.96-year (71.52-month) cycle wheat prices; 63
5.98-6.01-year (71.76-72.12-month) lake levels; 137-138
5.98-6.02-year (71.76-72.24-month) stock prices; 455
5.982-year (71.782-month) cycle international battles; 693
5.994-year (71.928-month) cycle international battles; 691-692
6-year cycle advertising effectiveness; 76
6-year cycle Allis-Chalmers Manufacturing Co. sales; 76
6-year cycle American Viscose Corp. shipments; 76
6-year cycle Armco Steel Corp. sales; 68; 76
6-year cycle Armour & Co. sales; 76
6-year cycle Bethlehem Steel Corp. production; 76
6-year cycle business activity; 76
6-year cycle climate; 325
6-year cycle Continental Oil Co. income; 76
6-year cycle cotton prices; 325
6-year cycle cotton production; 76; 313; 322­; 326
6-year cycle diphtheria; 76
6-year cycle I.E. du Pont de Nemours & Co.; sales; 76
6-year cycle economic data; 73
6-year cycle General Electric orders received; 76; 313; 316-321
6-year cycle General Electric sales; 76
6-year cycle B.F. Goodrich Co. sales; 76
6-year cycle Goodyear Tire & Rubber sales; 76
6-year cycle heavy hog prices; 76
6-year cycle Inland Steel Co. sales; 76
6-year cycle international crises; 76
6-year cycle iron production; 76
6-year cycle Jones and Laughlin Steel Corp. sales; 76
6-year cycle lard prices; 76
6-year cycle Monsanto Chemical Co. sales; 76
6-year cycle Montgomery Ward and Co. sales; 76
6-year cycle National Lead Co. sales; 76
6-year cycle Pittsburgh Plate Glass Co. sales; 76
6-year cycle prices; 76-77; 325
6-year cycle Procter and Gamble Co. sales; 76
6-year cycle production; 76; 313; 316; 322-332; 380
6-year cycle rainfall; 76
6-year cycle rayon production; 76; 380
6-year cycle Republic Steel Corp. production; 76
6-year cycle rice prices; 76
6-year cycle rock strata thickness; 317
6-year cycle sales of American industry; 68; 76­77; 316
6-year cycle Seaboard Air Line operating revenue; 76
6-year cycle Sears; Roebuck and Co. sales; 76
6-year cycle Standard Oil Co. of California in­come; 76
6-year cycle Stockham Valves and Fittings (Com­pany G); 76
6-year cycle steel production; 76; 313; 327-332
6-year cycle sugar prices; 77
6-year cycle solar activity; 325
6-year cycle stock prices; 77; 411
6-year cycle stock prices (industrial); 76
6-year cycle sunspot numbers; alternate cycles reversed; 77; 317
6-year cycle Swift & Co. sales; 77
6-year cycle tree rings; 317; 325
6-year cycle U.S. Rubber Co. sales; 77
6-year cycle U.S. Steel Corp. stock earnings; 77
6-year cycle U.S. Steel Corp. stock prices; 77
6-year cycle Wilson & Co. sales; 77
6-year cycle varve thickness; 77; 125
6-year cycle weather; 77
6-year cycle wholesale commodity prices; 77
6-year cycle Youngstown Sheet & Tube Co. sales; 77
6.01-year cycle stock prices; 402; 453-455
6.03-year cycle economic data; 73
6.07-year cycle stock prices; 513
6.1-year cycle cigarette stock prices; 77
6.1-year cycle cotton prices; 77; 558
6.1-year cycle economic affairs; 73
6.1-year cycle flood stages; Nile River; 77
6.1-year cycle pig iron prices; 74; 77
6.1-year cycle post office revenues; 598; 600
6.1-year cycle stock prices (industrial); 74; 77
6.1-year cycle stock prices (rail); 74; 77
6.1-year cycle sunspot numbers; alternate cycles reversed; 77
6.1-year cycle tree rings; 77
6.1-year cycle weather; 77
6.1- or 6.2-year cycle flood stages; Nile River; 74
6.1- or 6.2-year cycle sunspot numbers; 74
6.2-year cycle cigarette stock prices; 74
6.2-year cycle failures; 591
6.2-year cycle interest rates (short term); 74
6.2-year cycle post office revenue; 598; 600
6.2-year cycle production (industrial); 74
6.2-year cycle stock prices; 513
6.2-year cycle war; 692
6.2-year cycle weather; 74
6.4-year cycle aluminum production; 313; 333­; 337
6.4-year cycle cotton prices; 336
6.4-year cycle failures; 336
6.4-year cycle General Motors sales of passenger cars and trucks; 336
6.4-year cycle kill of grouse; 336-337
6.4-year cycle pig iron prices; 336
6.4-year cycle stock prices (rail); 336
6.4-year cycle tree-ring widths; 336
6.45-year cycle aluminum production; 74
6.45-year cycle bank discount rates; 74
6.45-year cycle business activity; 74
6.45-year cycle business failures; 74
6.45-year cycle cotton prices; 74; 558; 591
6.45-year cycle department store sales; 74
6.45-year cycle economic affairs; 73
6.45-year cycle pig iron prices; 74
6.45-year cycle pig iron production; 74
6.45-year cycle stock prices (rail); 74
6.5-year cycle failures; 591-597
6.5-year cycle lake levels; 137-138
6.524-year cycle international battles; 691-692
6.58-year cycle lake levels; 137-138
6.680-year cycle post office revenues; 598; 600
6.93-year cycle lake levels; 137-138
6.994-year cycle international battles; 692
7.3-year cycle sunspots; 270
7.304-year cycle international battles; 692
7.333-year cycle post office revenues; 598; 600
7.5-year cycle public utility company sales; 27-29
7.5-year cycle ton miles (Canadian Pacific Railway); 314; 359; 364-367
7.59-year cycle lake levels; 137-138
7.6-year cycle barometric pressure; 124-125
7.6-year cycle sunspots; 270
7.670-year cycle international battles; 692
7.0-year cycle stock prices; 411
7.7-year cycle stock prices; 411
7.80-year cycle stock prices (railroad); 507
7.895-year cycle post office revenues; 598; 600
7.94-year cycle stock prices (railroad); 403; 507­; 512; 514-518
7.95-year cycle stock prices (railroad); 507
8-year cycle cigarette production; 56-57; 313; 338-339
8-year cycle crop yields; 56-57
8-year cycle eggs; purchasing power of; 56-57
8-year cycle Goodyear Tire and Rubber Com­pany sales; 56-58
8-year cycle lynx abundance; 56-58
8-year cycle pig iron prices; 56-58
8-year cycle rainfall; 56-57
8-year cycle sales of Company G; 56-57
8-year cycle steel ingot production; 56-57
8-year cycle stock prices (railroad); 56-57
8-year cycle sunspots; alternate cycles reversed; 56-57
8-year cycle war; 692
8-year cycle wholesale prices; 56-57
8- or 10-year cycle lynx abundance; 83
8.1-year cycle sunspots; 270
8.1667-year cycle stock prices (combined); 507
8.1667-year cycle stock prices (rail); 507
8.199-year cycle international battles; 692
8.2-year cycle stock prices; 411; 428-429
8.3-year cycle patents issued; 91; 615-619
8.33-year cycle stock prices (railroad); 507
8.36-year cycle sunspots; 270
8.39-year cycle stock prices; 514-518
8.39-year cycle stock prices (railroad); 403; 507­; 512
8.39-year cycle war; 692
8.39-8.46-year cycle lake levels; 137-138
8.4-year cycle sunspots; 270
8.5-year cycle copper prices; 519
8.5-year cycle pig iron prices; 91; 519; 527
8.5-year cycle stock prices; 403; 519
8.5-year cycle sunspots; 270
8.53-year cycle pig iron prices; 533-543
8.594-year cycle international battles; 692
8.60-year cycle copper prices; 93
8.684-year cycle post office revenues; 598; 600
8.7-year cycle sunspots; 270
8.76-year cycle sunspots; 63; 270
8.771-year cycle international battles; 692
8.8-year cycle international and civil war battles (war); 72; 633-637; 639
8.8-year cycle sunspots; 63; 270
8.85-year cycle tree-ring widths; 63
8.9-year cycle pig iron prices; 63
8.94-year cycle sunspots; 63; 270
8.95-year cycle lead production; 100
8.96-year cycle death rates; 100
8.97-year cycle gold production; 100
8.98-year cycle deposits of all banks; 100
9-year cycle Bank of France discounts; 100
9-year cycle birth; marriage; and death-rates; 100
9-year cycle business activity; 100
9-year cycle capital exports; 100
9-year cycle capital goods of heavy industry; 103
9-year cycle church membership; 85; 101; 601; 603-608
9-year cycle commercial crises; 100
9-year cycle Congregational Church new members; 101
9-year cycle cotton acreage; 86
9-year cycle cotton prices; 101
9-year cycle grasshoppers; 279
9-year cycle industrial ordinary shares; 101
9-year cycle lynx abundance; 96; 101
9-year cycle Methodist Church new members; 101
9-year cycle pig iron; 347
9-year cycle pig iron prices; 47; 83
9-year cycle Presbyterian Church new members; 85; 101
9-year cycle production; 100
9-year cycle sales figures; 84
9-year cycle sales of Company B; 101
9-year cycle sheep prices; 101
9-year cycle stock prices; 22-24; 84
9-year cycle ton miles (Canadian Pacific Rail­way); 101
9-year cycle venereal disease; 101; 291
9-year cycle wholesale prices; 22-23; 84
9-year cycle woodcock abundance; 101
9-10-year cycle bank discounts; 83
9-10-year cycle births; deaths; and marriages; 83
9-10-year cycle commercial crises; 83
9.01-year cycle barley for grain acreage; 101
9.01-year cycle barley for grain production; 102
9.01-year cycle cattle; 102
9.01-year cycle cotton acreage harvested; 102
9.01-year cycle cows kept for milk; 102
9.01-year cycle Irish potato production; 101
9.01-year cycle rye acreage harvested; 101
9.01-year cycle rye production; 101
9.02-year cycle pig iron shipments; 102
9.04-year cycle life insurance sales; 102
9.05-year cycle coal (anthracite) production; 102
9.05-year cycle wholesale sugar prices; 102
9.1-year cycle corn acreage harvested; 102
9.1-year cycle solar constant values; 360
9.1-year cycle sunspot numbers; alternate cycles reversed; 86
9.1-year cycle tree rings; 102; 434
9.11-year cycle sunspot numbers; alternate cycles reversed; 102
9.13-year cycle coal (bituminous) production; 102
9.13-year cycle steel ingots and steel for castings; 102
9.14-year cycle crude petroleum production; 102
9.17-year cycle patents issued; 90; 93; 103; 615­; 619
9.1781-year cycle stock prices; 442
9.18-year cycle stock prices (combined ); 90;
9.18-year cycle stock prices (industrial); 90; 103
9.18-year cycle stock prices (rail); 90; 103; 507­; 509; 512; 514-518
9.18-year cycle ton miles (Canadian Pacific Rail­way); 314
9.2-year cycle British consol prices; 103
9.2-year cycle copper prices; 291
9.2-year cycle cows on farms; 431; 434
9.2-year cycle crops; 104
9.2-year cycle electric potential gradient; 103
9.2-year cycle failures; 90; 103; 291; 431; 434; 586-597
9.2-year cycle grasshoppers; 90; 92; 103; 279; 401; 431; 434
9.2-year cycle lake levels; 103; 137-138
9.2-year cycle partridge abundance; 103
9.2-year cycle patents issued; 90; 93
9.2-year cycle pig iron prices; 47; 82; 86; 90-91; 103; 291; 431; 434; 527; 533-543
9.2-year cycle stock market behavior; 504; 506
9.2-year cycle stock prices; 50-5 1; 84; 401; 421­; 435; 446-448; 522; 525-526
9.2-year cycle stock prices (combined); 89-90
9.2-year cycle stock prices (industrial); 291
9.2-year cycle stock prices (railroad); 291
9.2-year cycle sunspot numbers; 291-292
9.2-year cycle tree rings (growth); 88-89; 103­; 104; 291-292; 434
9.2-year cycle varves; 103
9.2-year cycle wholesale prices; 84; 88-89; 103
9.225-year cycle stock prices; 447; 450; 453-455
9.225-year cycle stock prices (combined); 90; 104; 431; 434
9.231-year cycle bond yields; 104
9.25-year cycle automobile sales; 104
9.25-year cycle copper share prices; 104
9.25-year cycle Lewes River early closing; 104
9.25-year cycle Lewes River closed days; 104
9.25-year cycle volcanic eruptions; 127
9.26-year cycle cattle on farms; 431; 434
9.26-year cycle lead (pig) prices; 104
9.270-year cycle post office revenues; 598; 600
9.28-year cycle copper prices; 82; 86; 93; 104; 431; 434
9.2- or 9.3-year cycle grasshoppers; 86
9.2- or 9.3-year cycle sunspot numbers; 86
9.3-year cycle climatic variations; 104
9.3-year cycle production of manufacturing; 104; 431; 434
9.3-year cycle sales of a manufacturing company; 93
9.3-year cycle sea currents; 104
9.3-year cycle sunspot numbers; 104; 270; 431; 434
9.3-year cycle wheat prices; 292; 431; 434
9.305-year cycle tides; 104
9.31-year cycle wheat prices; 104
9.33-year cycle sales of a manufacturing company; 104; 431; 434
9.33-year cycle wholesale price index; all commodities; 104
9.34-year cycle silver mine production; 104
9.37-year cycle sweet potato acreage harvested; 105
9.4-year cycle tree-ring width; 105
9.4-year cycle varves; 105
9.41-year cycle sugar prices; 105
9.44-year cycle cotton production; 105
9.46-year cycle cheese consumption; 105
9.47-year cycle cotton prices; 105
9.48-year cycle sheep value; 105
9.4- or 9.5-year cycle cotton production; 94
9.4- or 9.5-year cycle rainfall; 94
9.4- or 9.5-year cycle weather; 94
9.5-year cycle barometric pressure; 105
9.5-year cycle climate; 105
9.5-year cycle floods; Nile; 105
9.5-year cycle moon variation; 96
9.5-year cycle rainfall; 105
9.5-year cycle wholesale prices; 84
9.53-year cycle tree ring growth; 105
9.54-year cycle barometric pressure; 105
9.554-year cycle international battles; 692
9.58-year cycle wheat production; 95; 106
9.5986-year cycle international battles; 106; 693
9.6- (9 2/3-) year cycle barometric pressure; 55
9.6- (9 2/3-) year cycle biological phenomena; 279; 314
9.6- (9 2/3-) year cycle caterpillar (tent) abundance; 53; 55; 107
9.6- (9 2/3-) year cycle chinch bug abundance; 53; 55; 96; 106; 288
9.6- (9 2/3-) year cycle coyote abundance; 53; 55; 107
9.6- (9 2/3-) year cycle egg abundance of hawk owl; 106
9.6- (9 2/3-) year cycle financial crises in Great Britain; 53; 83; 95; 106
9.6- (9 2/3-) year cycle fisher abundance; 53
9.6- (9 2/3-) year cycle grouse abundance; 53
9.6- (9 2/3-) year cycle hawk abundance; 53; 106
9.6- (9 2/3-) year cycle human heart disease; 53; 55; 107
9.6- (9 2/3-) year cycle international battles; 53; 55; 97; 602; 627; 739
9.6- (9 2/3-) year cycle lynx abundance; 40-41; 53; 55; 58; 96; 106; 278-279; 288-289
9.6- (9 2/3-) year cycle mammals; 288
9.6- (9 2/3-) year cycle marten abundance; 53; 55; 107
9.6- (9 2/3-) year cycle mink abundance; 53; 55; 107
9.6- (9 2/3-) year cycle muskrat abundance; 53; 55; 107
9.6- (9 2/3-) year cycle owl abundance; 53; 106
9.6- (9 2/3-) year cycle ozone content; 53; 55; 107
9.6- (9 2/3-) year cycle partridge abundance; 53; 106
9.6- (9 2/3-) year cycle precipitation; 53; 55
9.6- (9 2/3-) year cycle rabbit abundance; 53; 55
9.6- (9 2/3-) year cycle rainfall; 55; 124; 126
9.6- (9 2/3-) year cycle river run-off; 53; 55; 107
9.6- (9 2/3-) year cycle salmon; 288
9.6- (9 2/3-) year cycle salmon abundance; 53; 55; 84; 106
9.6- (9 2/3-) year cycle salmon catches; 53
9.6- (9 2/3-) year cycle snowshoe rabbit abundance; 106
9.6- (9 2/3-) year cycle storm track shifts; 53; 106
9.6- (9 2/3-) year cycle tick abundance; 53; 106
9.6- (9 2/3-) year cycle trade peaks in Great Britain; 83
9.6- (9 2/3-) year cycle tree-ring widths; 53; 55; 106; 288
9.6- (9 2/3-) year cycle tularemia; 53; 106
9.6- (9 2/3-) year cycle U-magnetic value; 53; 55; 106
9.6- (9 2/3-) year cycle varves; 107
9.6- (9 2/3-) year cycle varying hare; 288
9.6- (9 2/3-) year cycle war; 53; 55; 97; 602; 627; 717-­724; 739
9.6- (9 2/3-) year cycle weather; 288
9.6- (9 2/3-) year cycle wheat acreage; 53; 55; 314; 385-387
9.6- (9 2/3-) year cycle wheat acreage harvested; 95-96; 106
9.6- (9 2/3-) year cycle wheat acreage planted; 95; 106
9.6- (9 2/3-) year cycle wheat prices; 55
9.6- (9 2/3-) year cycle wildlife; 53; 84
9.65-year cycle cotton prices; 53; 95; 107
9.7-year cycle barometric pressure; 107
9.7-year cycle colored fox abundance; 107
9.7-year cycle cross fox abundance; 107
9.7-year cycle fisher abundance; 107
9.7-year cycle goshawk abundance; 107
9.7-year cycle Peace River opening dates; 107
9.7-year cycle silver fox abundance; 107
9.7-year cycle skunk abundance; 107
9.7-year cycle red fox abundance; 107
9.7-year cycle sunspot numbers; alternate cycles reversed; 96
9.7-year cycle timber wolf abundance; 107
9.708-year cycle sunspot numbers; alternate cycles reversed; 107
9.75- (9 3/4-) year cycle lynx abundance; 8-9; 27
9.75- (9 3/4-) year cycle salmon population; 11
9.75- (9 3/4-) year cycle wheat prices; 83; 108
9.77-year cycle temperature; 108
9.78-year cycle cigarette production; 108
9.78-year cycle sweet potato production; 108
9.79-year cycle wholesale prices; 108
9.86-year cycle precipitation; 108
9.9-year cycle bank deposits; 109
9.9-year cycle copper mine products; 109
9.9-year cycle cotton prices; 109
9.9-year cycle lynx abundance; 96; 109
9.9-year cycle prairie chicken abundance; 109
9.9-year cycle precipitation; 109
9.9-year cycle post office revenues; 109
9.9-year cycle ruffed grouse; 109
9.9-year cycle sunspot numbers; 98; 109; 270
9.9-year cycle varves; 108
9.9-year cycle waxwing abundance; 109
9.91-year cycle cotton prices; 108
9.91-year cycle lynx abundance; 108
9.93-year cycle prairie chicken abundance; 108
9.93-year cycle ruffed grouse abundance; 108
9.93-year cycle sunspot numbers; 98-99; 108; 270
9.93-year cycle tree rings; 108
9.93-year cycle varves; 108
9.93-year cycle waxwing abundance; 108
9.94-year cycle post office revenues; 108
10-year cycle bank deposits; 108
10-year cycle caterpillars; 37
10-year cycle copper mines production; 108
10-year cycle ozone; 37
10-year cycle rabbit abundance; 37
10-year cycle rainfall; 37
10-year cycle salmon (Atlantic); 37
10-year cycle sunspots; 270
10- or 11-year cycle caterpillar (tent) abundance; 10
10-12-year cycle wheat and barley bumper crops; 266
10.239-year cycle international battles; 692
10.3-year cycle stock prices; 411; 428; 429
10.3876-year cycle stock prices; 442
10.444-year cycle commercial crises; 268
10.45-year cycle sunspots; 268
10.59-year cycle sunspots; 213; 270
10.8-year cycle stock prices (industrial); 266
10.8- to 11.4-year cycles sunspots; 265-275
10.81-year cycle lead production; 266
10.83-year cycle stock prices (combined); 266
10.92-year cycle Reichbank clearings; 266
10.93-year cycle wheat prices; 266-267
10.94-year cycle earthquakes; 126
10.96-year cycle earthquakes; 129
10.98-year cycle cotton prices; 266
10.99-year cycle corn acreage harvested; 266
10.99-year cycle sheep value; 266
11-year cycle automobile production; 266
11-year cycle business activity; 266
11-year cycle commercial crises; 267
11-year cycle corn prices; 565
11-year cycle cotton prices; 266-267
11-year cycle crop yields; 266
11-year cycle earthquakes; 117-118; 129-130
11-year cycle famine and drought; 267
11-year cycle lake levels; 139
11-year cycle laxative sales; 267
11-year cycle post office revenues; 266; 598; 600
11-year cycle sunspot numbers; 118; 196-198; 217-218; 224; 232; 237; 251; 741
11-year cycle trade and speculation; 268
11-year cycle tree rings; 125
11-year cycle U.S. Steel Corp. earnings; 266
11-year cycle varves; 125
11-year cycle wheat prices; 266
11-year cycle wheat yields; 266
11.094-year cycle sunspot numbers; 196; 213
11.1-year cycle bank deposits; 266
11.1-year cycle mass human excitability; 268; 272­; 273
11.1-year cycle pig iron prices; 266
11.1-year cycle sunspot maxima; 196-198
11.1-year cycle sunspots; 201; 206; 215; 221-222
11.11-year cycle grain prices; 266; 270
11.11-year cycle mass human excitability; 267; 272
11.11-year cycle sunspots; 96; 117; 121; 241; 246; 254-259; 261; 264-275
11.11-year cycle wrought iron prices; 113
11.13-year cycle sunspots; 270
11.14-year cycle business activity; 266
11.142- (11 1/7)-year cycle war; 267
11.15-year cycle sunspots; 273
11.17-year cycle sunspots; 270
11.19-year cycle crude petroleum production; 267
11+ (SS-length) cycle business activity; 266
11+ (SS-length) cycle corn production; 266
11+ (SS-length) cycle economic prosperity and inter­national crises; 267
11+ (SS-length) cycle field pea production; 266
11+ (SS-length) cycle fisheries; value of; 267
11+ (SS-length) cycle grain prices; 266
11+ (SS-length) cycle grain production; 266
11+ (SS-length) cycle human reactions in wars; 627
11+ (SS-length) cycle military and political activity; 627
11+ (SS-length) cycle loans for residential mortgages; 266
11+ (SS-length) cycle marriage rates; 267
11+ (SS-length) cycle mineral physical production; 267; 272
11+ (SS-length) cycle panics in business; 267
11+ (SS-length) cycle shipwrecks; 267
11+ (SS-length) cycle stock prices; 266
11+ (SS-length) cycle sunspot numbers; 23
11+ (SS-length) cycle terrestrial magnetism; 23-24
11+ (SS-length) cycle tree-ring variation; 25
11+ (SS-length) cycle wheat prices; 266
11+ (SS-length) cycle wholesale commodity prices; 266
11.2-year cycle manufacturing physical production; 267; 272
11.2-year cycle pig iron production; 267
11.2-year cycle war; 267; 627; 695; 708-709; 717
11.204-year cycle war; 691-693
11.241-year cycle international battles; 267; 693
11.245-year cycle international wars; 627; 717
11.25-year cycle sunspots; 270
11.25-year cycle tree rings; 302
11.30-year cycle wholesale commodity prices; 266
11.37-year cycle sunspots; 270
11.38-year cycle cotton production; 266
11.4-year cycle sunspots; 270
11.43-year cycle lake levels; 137-138
11.4530-year cycle stock prices; 442
11.6-year cycle stock prices; 411
11.73-year cycle sunspots; 213-215
12.1-year cycle international battles; 627
12.159-year cycle international battles; 692
12.3-year cycle international battles; 602; 627; 717-­724
12.34-year cycle international battles; 739
12.3456-year cycle international battles; 693
12.35-year cycle international battle index; 97
12.406-year cycle post office revenues; 598; 600
12.8-year cycle stock prices; 411
12.9-year cycle sunspots; 270
13.0-year cycle sunspots; 270
13.210-year cycle international battles; 692
13.5-year cycle sunspots; 270
13.6735-year cycle stock prices; 442
13.51-13.68-year cycle lake levels; 137-138
14- to 17-year cycle Vesuvius; 127
14.172-year cycle international battles; 692
14.732-year cycle post office revenues; 598; 600
14.8-year cycle purchasing power of beef cattle; 12
15-year cycle grasshopper abundance; 292
15.507-year cycle international battles; 692
15.5814-year cycle stock prices; 442
16.67- (16 2/3)-year cycle coffee prices; 112-113; 280
16.67- (16 2/3)-year cycle floods; Nile River; 72; 112-113; 280
16.67- (16 2/3)-year cycle iron prices; 72
16.67- (16 2/3)-year cycle population; 344
16.67- (16 2/3)-year cycle tree rings; 72; 112-113; 279-280; 298
16.67- (16 2/3)-year cycle wrought iron prices; 46-47; 68; 70; 72; 112-113; 280; 298; 738-739
17-year cycle building permits; 167
17-year cycle building construction; 167
17-year cycle cicada; 167
17-year cycle cattle prices; 167
17-year cycle cattle supply and demand; 167
17-year cycle cigarette stock prices; 167
17-year cycle poultry product prices; 167
17-year cycle precipitation; 166-169
17-year cycle rainfall; 167
17-year cycle solar constant; 167
17-year cycle sunspot numbers (reversing); 167
17-year cycle temperature; 166-169
17-year cycle weather; 167; 351
17-year cycle wheat prices; 351
17-18-year cycle building transport; 167
17-18-year cycle deeds recorded; 167
17-18-year cycle real estate activity; 167
17.05-year cycle interest rates; 167
17.16 (17 1/6)-year cycle permits per capita; 167
17.2-year cycle population; 166-169; 620
17.2-year cycle stock prices; 166-169
17.2-year cycle tree rings; 298
17.25-year cycle cotton prices; 166-169
17.3-year cycle flood stages; Nile River; 58
17.323-year cycle varves; 44-45; 47; 141-171
17.328-year cycle varves; 156
17.33- (17 1/3)-year cycle commodity prices; 167
17.33- (17 1/3)-year cycle cotton prices; 72; 351
17.33- (17 1/3)-year cycle floods; Nile River; 72; 113
17.33- (17 1/3)-year cycle historical change; 167
17.33- (17 1/3)-year cycle lake levels; 167
17.33- (17 1/3)-year cycle population; 72
17.33- (17 1/3)-year cycle precipitation; 72
17.33- (17 1/3)-year cycle stock prices; 72
17.33- (17 1/3)-year cycle stock prices (industrial); 167
17.33- (17 1/3)-year cycle sunspots; alternate cycles reversed; 72; 166-169
17.33- (17 1/3)-year cycle temperature; 72
17.33- (17 1/3)-year cycle varves; 54; 58; 72; 118; 140-171
17.33- (17 1/3)-year cycle war; 602
17.33- (17 1/3)-year cycle wheat prices; 72; 166-169
17.37-year cycle flood stages; Nile River; 142; 161; 166-169
17.398-year cycle international battles; 691-692
17.66-year cycle earthquakes; 63
17.66-year cycle sunspots; alternate cycles reversed; 63
17.67- (17 2/3 )-year cycle earthquakes; 648-650
17.67- (17 2/3 )-year cycle failures; 544-545; 648-650
17.67- (17 2/3 )-year cycle sunspots; alternate cycles reversed; 648
17.69-year cycle pig iron prices; 63
17.7-year cycle coal (bituminous) production; 72
17.7-year cycle cotton prices; 72
17.7-year cycle earthquakes; 72
17.7-year cycle failures; 72
17.7-year cycle panics; 72
17.7-year cycle pig iron prices; 72
17.7-year cycle temperature; 72
17.7-year cycle tree rings; 72
17.7-year cycle war battles; 72; 601-602; 621-686; 691
17.71-year cycle war; 648-650; 693
17.724-year cycle variable star Scorpius V 381; 63; 648
17.728-year cycle war; 627
17.73-year cycle war; 63
17.75- (17 3/4)-year cycle building permits; 648
17.75- (17 3/4)-year cycle coal (bituminous) production; 648­; 650
17.75- (17 3/4)-year cycle cotton prices; 63; 280; 527; 554-557; 581; 611; 648-650
17.75- (17 3/4)-year cycle failures; 63; 350; 352-353; 529; 581-597; 611
17.75- (17 3/4)-year cycle international battles; 611
17.75- (17 3/4)-year cycle mail-order house; 63
17.75- (17 3/4)-year cycle panics; 581
17.75- (17 3/4)-year cycle pig iron prices; 280; 350-353; 527; 544-553; 581; 611; 648-650
17.75- (17 3/4)-year cycle stock prices; 611; 648
17.75- (17 3/4)-year cycle stock prices (industrial); 351; 581
17.75- (17 3/4)-year cycle sunspots; alternate cycles reversed; 581
17.75- (17 3/4)-year cycle tree rings; 63; 113; 280; 308; 351; 354; 544-545; 581; 648-650
17.75- (17 3/4)-year cycle war; 280; 627
17.78-year cycle stocks (industrial); 63
17.8-year cycle stock prices (industrial); 648
17.83- (17 5/6)- year cycle subdivision activity; 611; 648
17.9-year cycle building activity; 611; 648
17.92-year cycle sunspot numbers; alternate cycles reversed; 251-253
17.93- or 17.94-year cycle sunspot numbers; alternate cycles reversed; 254
18-year cycle bank credit; 648
18-year cycle bricks; 444; 648
18-year cycle building activity; 611
18-year cycle building construction; 648
18-year cycle building materials; 444; 648
18-year cycle building permits; 444; 648
18-year cycle coal consumption and production; 444
18-year cycle fir timber imported; 444; 648
18-year cycle furniture; 347
18-year cycle loans and discounts; 347-349
18-year cycle lumber production; 347
18-year cycle lynx abundance; 27
18-year cycle panics; 443-444; 648-650
18-year cycle pig iron consumption and production; 444
18-year cycle purchasing power; 648
18-year cycle railroad expenditures; 648
18-year cycle railroad freight revenue; 648
18-year cycle railroad receivership; 648
18-year cycle real estate activity; 611; 648
18-year cycle sheet glass retained; 444; 648
18-year cycle stock prices; 648
18-year cycle stock prices (industrial); 648
18-year cycle stock prices (railroad); 648
18-year cycle sunspot numbers; alternate cycles reversed; 238; 251; 351; 354
18-year cycle temperature; 648-650
18-year cycle tiles; 444; 648
18-20-year cycle buildings demolished; 444
18.2-year cycle building activity and construction; 54; 612
18.2-year cycle floods; Nile River; 54
18.2-year cycle glaciers; 611
18.2-year cycle immigration; 54; 442-443; 445; 601; 609-614
18.2-year cycle industrial companies; 54
18.2-year cycle loans and discounts; 54
18.2-year cycle marriages; 54; 601; 620
18.2-year cycle natural science phenomena; 611
18.2-year cycle panics; 54
18.2-year cycle pig iron; 54
18.2-year cycle public utility company sales; 54
18.2-year cycle real estate activity; 54; 443-444; 612
18.2-year cycle sales of an industrial company; 54
18.2-year cycle stock prices; 401; 435-448
18.2-year cycle stock prices (industrial); 54
18.2-year cycle sunspots; 611
18.2-year cycle sunspots; alternate cycles reversed; 54; 443; 612
18.2-year cycle tree rings; 54; 113; 298; 443-444; 611-612
18.2-18.3-year cycle construction; 72
18.2-18.3-year cycle economic phenomena; 601
18.2-18.3-year cycle floods; Nile River; 72
18.2-18.3-year cycle immigration; 72
18.2-18.3-year cycle an industrial company; 72
18.2-18.3-year cycle loans and discounts; 72
18.2-18.3-year cycle marriages; 72
18.2-18.3-year cycle panics; 72
18.2-18.3-year cycle pig iron; 72
18.2-18.3-year cycle public utility company; 72
18.2-18.3-year cycle real estate activity; 72
18.2-18.3-year cycle stocks (industrial); 72
18.2-18.3-year cycle sunspots; alternate cycles reversed; 72
18.2-18.3-year cycle tree rings; 72
18.32-year cycle flood stages; Nile River; 443
18.33- (18 1/3)- year cycle building activity and construction; 26; 343-345; 349; 443-444
18.33- (18 1/3)- year cycle building permits; 444; 611
18.33- (18 1/3)- year cycle buildings (residential); 351; 355
18.33- (18 1/3)- year cycle discounts and loans; 443-444
18.33- (18 1/3)- year cycle freight traffic (Canadian Pacific Railway); 444
18.33- (18 1/3)- year cycle furniture produced; 444
18.33- (18 1/3)- year cycle an industrial company; 443
18.33- (18 1/3)- year cycle lumber production; 444
18.33- (18 1/3)- year cycle marriage rates; 343; 345; 349; 443
18.33- (18 1/3)- year cycle panics; 444
18.33- (18 1/3)- year cycle pig iron; 443-444
18.33- (18 1/3)- year cycle pig iron production; 347; 444
18.33- (18 1/3)- year cycle production; 314; 343-357
18.33- (18 1/3)- year cycle real estate activity; 17-18; 343; 349; 353-354; 611
18.33- (18 1/3)- year cycle residential permits; 444
18.33- (18 1/3)- year cycle sales of an industrial company; 347; 349
18.33- (18 1/3)- year cycle sales of a public utility company; 27-29; 443-444; 611
18.33- (18 1/3)- year cycle stock prices; 23; 26; 347-349
18.33- (18 1/3)- year cycle varves; 26
18.33- (18 1/3)- year cycle wheat acreage; 345; 349; 444; 611
18.3562-year cycle stock prices; 442
18.539-year cycle post office revenues; 598; 600
18.6-year cycle axis of earth; 748
19-year cycle earthquakes; 127
19-year cycle stock prices; 522; 525
19.25- (19 1/4)- year cycle stock prices; 351
19.4-year cycle stock prices (industrial); 504; 748
19.4-year cycle stock prices (railroad); 350-351; 504; 748
19.455-year cycle international battles; 692
19.5- (19 1/2)-year cycle war; 602
19.7-year cycle stock prices; 421; 425; 428
19.9-year cycle wheat prices; 351
20-year cycle stock prices (industrial); 748
20-year cycle stock prices (railroad); 748
20.8-year cycle sunspots alternate cycles reversed; 748
21-year cycle grasshoppers; 291
21.75- (21 3/4 )-year cycle cotton prices; 271
21.95-year cycle international battles; 247; 627
21.98-year cycle war battles; 271; 693
22-year cycle advertising effectiveness. 271
22-year cycle building activity; 271
22-year cycle famine; 271
22-year cycle patents issued; 271; 615
22-year cycle pig iron production; 271
22-year cycle post office revenues; 271; 598; 600; 748
22-year cycle sales of a drug company; 271
22-year cycle stock prices (combined); 271
22-year cycle sunspots; 122
22-year cycle sunspots; alternate cycles reversed; 120; 196; 241
22-year cycle war; 626; 717
22-year cycle wheat yield; 271
22-year cycle wholesale commodity prices; 271
22- 23-year cycles lake levels; 138-139
22-24-year cycle suicide rates; 271
22.13-23.11-year cycle lake levels; 137- 138
22.14- (22 1/7)-year cycle international battles; 246-247; 627; 695; 708-709; 748
22.19-year cycle double sunspot cycle; 247
22.2- (22 1/5 )-year cycle advertising efficiency; 748
22.2- (22 1/5 )-year cycle female ailments; 749
22.2- (22 1/5 )-year cycle lynx abundance; 748
22.2- (22 1/5 )-year cycle sunspot numbers; alternate cycles reversed; 238; 241; 612; 748; 758
22.2- (22 1/5 )-year cycle wholesale prices; 748
22.22-year cycle sunspots; alternate cycles reversed; 117; 120; 241-249; 251; 254-259; 262; 264-275
22.5-year cycle horse prices; 271
22.67- (22 2/3 )-year cycle advertising efficiency; 292
22.67- (22 2/3 )-year cycle international battles; 292
22.67- (22 2/3 )-year cycle grasshopper outbreaks; 279; 291-294
22.67- (22 2/3 )-year cycle lynx abundance; 292
22.67- (22 2/3 )-year cycle partridge; 279; 292; 295-297
22.67- (22 2/3 )-year cycle postal receipts; 292
22.67- (22 2/3 )-year cycle solar radiation; 295
22.67- (22 2/3 )-year cycle sunspots; alternate cycles reversed; 292
22.67- (22 2/3 )-year cycle wholesale prices; 292
22.75-year cycle lake levels; 138
23-year cycle lake levels; 292; 749
23-year cycle river levels; 292; 749
23-year cycle tree rings; 292; 749
23-year cycle varves (rock deposit widths); 292; 749
23-year cycle weather; 292; 749
23.3-year cycle stock prices; 749
23.778-year cycle war; 692-693
24-year cycle wheat prices; 749
25-year cycle building; 344
26.1-year cycle stock prices (railroad); 749
26.2745-year cycle stock prices; 442
27.966-year cycle post office revenues; 598; 600
30-year cycle building; 344
30-year cycle stock prices (railroad); 749
30-year cycle varves; 125
31.940-year cycle international battles; 692
33-year cycle wars and peace; 627
33.3- (33 1/3•)-year cycle lake levels; 126
33.5-year cycle varves; 151
33.55-year cycle lake levels; 137-138
35-year cycle harvests; 63
35-year cycle immigration; 63
35-year cycle lake levels; 240
35-year cycle plant and tree growth; 63
35-year cycle tree rings; 63
35-year cycle rivers freezing; 240
35-year cycle wine making; 240
35.2-year cycle earthquakes; 63; 749
35.2-year cycle lynx abundance; 63; 749
35.5-year cycle weather; 63
35.9-year cycle auroras; frequency of; 63
36-year cycle barometric pressure; 63
36-year cycle English consols value; 63
36-year cycle manufacturing production; 63
36-year cycle wheat prices; 63
36.5- (36 1/2 )-year cycle floods; Nile River; 115
36.75- (36 3/4)-year cycle cotton prices; 115
37-year cycle auroras; frequency of; 115-116
37-year cycle biological time series; 240
37-year cycle earthquakes; 115-116
37-year cycle sunspot (11-year variation of) cycle; 115-116
37-year cycle floods; Nile River; 115-116
37-year cycle pine growth; 115-116
37-year cycle stock prices; 115
37-year cycle sunspots; alternate cycles reversed; 119; 217; 234-240
37-year cycle weather; 240
37-year cycle winters; 115-116; 126
37-year cycle wheat prices; 115-116
37.2-year cycle auroras; frequency of; 115
37.4-year cycle sunspots; 115; 218
37.5- (37 1/2 )-year cycle stock prices; 749
37.5- (37 1/2 )-year cycle sunspots; 115; 217-220
37.5- (37 1/2 )-year cycle sunspots; alternate cycles reversed; 234-240
37.5- (37 1/2 )-year cycle variation of length of the sunspot cycle; 749
37.5- (37 1/2 )-year cycle wheat prices; 115
37.9-year cycle wheat prices; 115
38.214-year cycle international battles; 692
40.0-year cycle stock prices; 749
41.7-year cycle cotton prices; 299
42-year cycle climate; 224
42-year cycle cotton prices; 48; 50-51; 270
42-year cycle prices; 224
42-year cycle sunspot numbers; 119; 224; 270; 528
42-year cycle tree rings; 270; 280; 299-303; 528
42-year cycle wheat prices; 270; 528; 575
42.023-year cycle tree ring widths; 225-226; 280; 299-303
42.5-year cycle wheat prices; 299; 302
42.8-year cycle sunspots; 225
44.000-year cycle post office revenues; 598; 600
44.6667-year cycle stock prices; 442
46-year cycle droughts; 749
46-year cycle lake levels; 749
46-year cycle tree ring widths; 749
50-year cycle commodity prices and wars; 627
50-year cycle manufacturing production; 749
50-year cycle wholesale prices; 749
50- to 60-year cycle agricultural workers’ wages; 304
50- to 60-year cycle bank deposits; 304
50- to 60-year cycle Bank of France portfolio; 304
50- to 60-year cycle coal consumption; 304
50- to 60-year cycle coal production; 304
50- to 60-year cycle coal miners’ wages; 304
50- to 60-year cycle cotton acreage; 304
50- to 60-year cycle copper prices; 304; 528
50- to 60-year cycle exports; 304
50- to 60-year cycle imports; 304
50- to 60-year cycle interest rates; 304
50- to 60-year cycle lead production; 304
50- to 60-year cycle oat acreage; 304
50- to 60-year cycle pig iron production; 304
50- to 60-year cycle prices; 304
50- to 60-year cycle ship building; 304
50- to 60-year cycle textile workers’ wages; 304
50- to 60-year cycle trade (foreign); 304
50- to 60-year cycle war; 717
50- to 60-year cycle wheat prices; 304
51.969-year cycle varves; 164-165
53.500-year cycle war; 691-692
54-year cycle agricultural workers’ wages; 63
54-year cycle bank deposits; 63
54-year cycle coal consumption; 63
54-year cycle coal production; 63
54-year cycle consols (British) value; 63
54-year cycle copper prices; 63; 528; 578-579
54-year cycle cotton acreage; 63
54-year cycle devaluation in England; 63
54-year cycle economic affairs; 280; 304
54-year cycle interest rates; 63
54-year cycle lead production; 63
54-year cycle oat acreage; 63
54-year cycle pig iron production; 63
54-year cycle prices; 63
54-year cycle rent in France; 63
54-year cycle river run off; 304
54-year cycle ship building; 63
54-year cycle textile workers; 63
54-year cycle trade (foreign); 63
54-year cycle tree rings; 63; 280; 304-307
54-year cycle varves (sedimentary rock or mud deposits); 304
54-year cycle wheat prices; 63; 528; 576-579
54.5-year cycle stock prices (railroad); 749
54.6-year cycle stock prices (railroad); 63
57-year cycle international battles; 627; 691; 693; 695; 708; 711; 716
61.4-year cycle international battles; 627
62-year cycle elephant abundance; 10
66.5-year cycle cotton prices; 749
67-year cycle varves; 151
78.571-year cycle post office revenues; 598; 600
79-year cycle sunspot numbers; 221
80-year cycle sunspots; 119; 198; 201; 206; 215;
82.308-year cycle international battles; 692
83-year cycle sunspots; 221
83-year cycle winters; 126
84-year cycle social and political unrest; 627
84+ -year cycle sunspot numbers; 221
89-year cycle sunspots; 221
94.55-year cycle lake levels; 137-138
95.7143-year cycle stock prices; 442
100.0-year cycle stock prices (railroad); 749
105-year cycle women’s fashions; 63
117.857-year cycle post office revenues; 598; 600
125.882-year cycle international battles; 692
130-year cycle earthquakes; 126
130-year cycle volcanic eruptions; 126
142-year cycle international battles; 63; 627; 693; 695; 708; 712; 714
150-year cycle pig iron prices; 749
159-year cycle pig iron prices; 63
170-year cycle civil wars; 627
200-year cycle sunspots; 119; 198; 201-216
300-year cycle variation of length of sunspot cycle; 749
510-year cycle civil wars; 627
 

The 41-Month Kitchin Cycle in Stocks │ Edward R. Dewey

Another cycle that has done all in its power to keep cycle scientists humble is one averaging 40.68 months in length. It has been present in industrial common-stock prices since 1871 and was discovered in 1912 by a New York group of investors. These gentlemen had learned that the Rothschilds had analyzed British consols (government obligations) and had broken up the price fluctuations into a series of repeating curves that had been combined and used for forecasting. The New York group hired a mathematician to discover the secret formula of the Rothschilds, and working with the Dow-Jones Railroad Averages, he discovered a forty-one-month cycle, plus three others, which his employers used to help them invest in the market. Apparently they were very successful around World War I.
 
Figure 38: The 41-Month Rhythm in Stock Prices, 1868-1945.
 
Some ten years after the original discovery, Professor W. L. Crum, of Harvard, noted a cycle of "39, 40, or 41 months" in monthly commercial-paper rates in New York. Almost simultaneously, Professor Joseph Kitchin, also of Harvard, discovered a cycle that he called forty months in six economic time series, bank clearings, commodity prices, and interest rates in both Great Britain and the United States from 1890 to 1922. As far as I know, it was not until 1935, twenty-three years after the original discovery, that this cycle was again noticed in the stock market. Our old friend Chapin Hoskins, who knew nothing of the earlier work, discovered this cycle in many series of price and production figures, including common-stock prices. Early in 1938 he made an extensive study of this cycle for one of the large investment-trust services.

Figure 38 shows the forty-one-month cycle (now refined to 40.68 months) from 1868 through 1945. As you can see, while its waves are not identical to an ideal 40.68 wave, which is represented by the broken zigzag, there is an amazing correspondence between them. This cycle persisted through wars and peace, good times and depressions.

Then, in 1946, something strange happened to our cycle. Almost as if some giant hand had reached down and pushed it, the cycle stumbled, and by the time it had regained its equilibrium it was marching completely out of step from the ideal cadence it had maintained for so many years. As you can see in Figure 39, it has regained the approximate beat of forty-one months or so, as before, but its behavior now appears upside down on our graph.
 
Figure 39: The 41-Month Rhythm, Upside Down, 1946-1957.
 
Scores of explanations and reams of paper have been expended to explain this behavior. We are familiar with most of the possibilities, such as distortion by random behavior, two or more other cycles of near lengths, and even a general public knowledge of this particular cycle, which may have had a distorting effect on its timing. But, in truth, no one can positively explain what happened in 1946 any more than they can explain the regularity of the rhythm for all the years that preceded it.

 
42-Month Cycle in the DJIA (weekly bars), March 2020 - October 2023.

Tuesday, December 12, 2023

The Cyclic Theory Of Stock Transaction Timing │ J.M. Hurst

In the 1970’s an American engineer called J.M. Hurst published a theory about why financial markets move in the way they do. The theory was the result of many years of research on powerful mainframe computers, and it became known as Hurst’s Cyclic Theory. Hurst claimed a 90% success rate trading on the basis of his theory, and yet the theory has remained largely undiscovered and often misunderstood.
 

Hurst published two seminal works: a book called The Profit Magic of Stock Transaction Timing, followed a few years later by a workshop-style course which was called the Cyclitec Cycles Course (now available as J.M. Hurst’s Cycles Course). There are a number of very enthusiastic advocates, prominent traders and writers who proclaim Hurst as the “father of cyclic analysis” and confirm the efficacy of the theory (including the late Brian Millard who wrote several books about Hurst’s theory), but why is it that the theory isn’t better known and more widely used by technical analysts? There are, in my opinion, two reasons:

Firstly, Hurst’s Cyclic Theory is not “easy”. While it is beautifully simple and elegant in its essence, it is not a simple theory to understand or to apply. The Cycles Course is over 1,500 pages long, and most people take several months to work through it. 
Secondly, although the theory presented in both the Profit Magic book and the Cycles Course is the same, there is a vitally important distinction between the analysis processes presented in the two. Hurst claimed his success on the basis of the process presented in the Cycles Course, whereas many people read the Profit Magic book and go no further, with the consequence that they never discover the more effective process presented in the Cycles Course
 
Hurst defined eight principles which like the axioms of a mathematical theory provide the definition of his cyclic theory. The eight Principles of Hurst’s Cyclic Theory are:
  1. The Principle of Commonality – All equity (or forex or commodity) price movements have many elements in common (in other words similar classes of tradable instruments have price movements with much in common). 
  2. The Principle of Cyclicality – Price movements consist of a combination of specific waves and therefore exhibit cyclic characteristics.
  3. The Principle of Summation – Price waves which combine to produce the price movement do so by a process of simple addition.
  4. The Principle of Harmonicity – The wavelengths of neighbouring waves in the collection of cycles contributing to price movement are related by a small integer value.
  5. The Principle of Synchronicity – Waves in price movement are phased so as to cause simultaneous troughs wherever possible
  6. The Principle of Proportionality – Waves in price movement have an amplitude that is proportional to their wavelength.
  7. The Principle of Nominality – A specific, nominal collection of harmonically related waves is common to all price movements.
  8. The Principle of Variation – The previous four principles represent strong tendencies, from which variation is to be expected.
In essence these principles define a theory which describes the movement of a financial market as the combination of an infinite number of 'cycles'. These cycles are all harmonically related to one another (their wavelengths are related by small integer values) and their troughs are synchronized where possible, as opposed to their peaks. The principles define exactly how cycles combine to produce a resultant price movement (with an allowance for some randomness and fundamental interaction).

Name of Cycle (nominal) Av. Wavelength (Days) Av. Wavelength Harmonic Ratio
       
972 year * 353,548.8 968.22 years 3 x 1
324 year * 117,849.6 322.74 years 2 x 1
162 year * 58,924.8 161.37 years 3 x 1
54 year * 19,641.6 53.79 years 3 x 1
18 year 6,547.2 17.93 years 2 x 1
9 year 3,273.6 8.96 years 2 x 1
54 month 1,636.8 53.77 months 2 x 1
18 month 545.6 17.93 months 3 x 1
40 week 272.8 38.97 weeks 2 x 1
20 week 136.4 19.48 weeks 2 x 1
80 day 68.2 68.2 days 2 x 1
40 day 34.1 34.1 days 2 x 1
20 day 17 17 days 2 x 1
10 day 8.5 8.5 days 2 x 1
5 day 4.3 4.3 days 2 x 1
2 day 2.2 2.2 days 2 x 1
1 day 1.11 26.67 hours 2 x 1
5 hour 0.22 5.3 hours 5 x 1
160 minute 0.11 160 minutes 2 x 1
1 hour 0.037 53.3 minutes 3 x 1
30 minute 0.018 26.67 minutes 2 x 1
15 minute 0.009 13.3 minutes 2 x 1
7 minute 0.0045 6.6 minutes 2 x 1
3 minute 0.0023 3.3 minutes 2 x 1
       
* Ahmed Farghaly, 2015 (eg.linkedin.com/in/ahmed-farghaly-a5825637)  
 
These eight simple rules distinguish Hurst’s theory from any other cyclic theory. For instance most cyclic theories consider cycles in isolation from each other, and cycles are often seem to 'disappear'. By contrast cycles never disappear according to Hurst’s theory, but they may be less apparent because of the way in which cycles combine. It is the fact that Hurst’s theory stipulates that there are an infinite number of cycles that makes it particularly different, and also begins to explain why it is impossible to forecast price movement with 100% accuracy. Just as it is impossible to conceive of the sum of two infinite numbers, it is impossible to define the result of combining an infinite number of cycles.
 
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