In 533 BCE, when Zerubbabel and Israelite refugees settled in Jerusalem following the Babylonian captivity, the erection of the Altar of Burn Offering and its purification occurred once again.

When the seventh month came and the Israelites had settled in their towns, the people assembled together as one in Jerusalem. Then Joshua son of Jozadak and his fellow priests and Zerubbabel son of Shealtiel and his associates began to build the altar of the God of Israel to sacrifice burnt offerings on it, in accordance with what is written in the Law of Moses the man of God. Despite their fear of the peoples around them, they built the altar on its foundation and sacrificed burnt offerings on it to the Lord, both the morning and evening sacrifices.

Ezra 3:1-3 NASB

The context suggests the people gathered at Jerusalem at the Temple Mount for the Feast of Trumpets (Tishri 1) marking the point of the Sabbatical year count, beginning anew on Tishri 1, initiating the first year of the New Cycle with 533/532 BCE [3229 AM]. Ezra further reports:

From the first day of the seventh month they began to offer burnt offerings to the Lord, but the foundation of the temple of the Lord had not been laid.

Ezra 3:6 NASB

This means the assembly of the Altar of Burnt Offering and its purification occurred in the last eight days of Elul. Course 11 (Eliashib) reported Elul 21, 3228 AM (Sat., Sept. 11, 533 BCE), assembled the Altar, and began the purification. Course 12 (Jakim) reported for duty on Elul 28, 3228 AM (Sat., Sept. 18, 533 BCE) and completed the purification. On the Feast of  Trumpets, Tishri 1, 3229 AM, (Mon., Sept. 20, 533 BCE), they offered the morning and evening sacrifices on the Altar of Burnt Offering.

The Old Cycle count for Jubilees and Sabbatical years had ended with Hebrew year 2404 AM (1358/9 BCE). The land of the southern kingdom of Judah then had a 40 year rest while the Jewish people were held in captivity in the Neo-Babylonian Empire. The Talmud (b. ‘Arak. 32b) and Seder ‘Olam Ch. 30 state that the counting of Sabbatical years began anew after the exile, in the days of Ezra and Nehemiah.

Ezekiel 40:1 shows a biblical recognition of the 17th Jubilee well after the northern kingdom of Israel fell in 721 BCE and the last captives deported to Assyria in 720 BCE. Moreover, employing a fiction regarding a partial representation of each tribe, the Babylonian Talmud at Megillah 14b attests to Josiah’s eighteenth year, 623/622 BCE, as the 16th Jubilee (2 Kings 22:3-7). There exists no biblical injunction or evidence suggesting the Jubilee was not to be kept in the postexilic period. We make no representation as to whether or not the Jewish people kept the Jubilee following the Babylonian captivity. The table below is purely informational listing the Jubilee as determined in the New Cycle beginning with a New Cycle Jubilee 1 in 485/484 BCE projected to Jubilee 58 in 2309/2310 CE.

New Cycle Jubilees

New Cycle Jubilees 1-103	BCE/CEt/t	AMt/t	Known Events
1	485/484 BCE	3277
2	436/435 BCE	3326
3	387/386 BCE	3375
4	338/337 BCE	3424
5	289/288 BCE	3473
6	240/239 BCE	3522
7	191/190 BCE	3571
8	142/141 BCE	3620
9	93/92 BCE	3669
10	44/43 BCE	3718
11	6/7 CE	3767
12	55/56 CE	3816
13	104/105 CE	3865
14	153/154 CE	3914
15	202/203 CE	3963
16	251/252 CE	4012
17	300/301 CE	4061
18	349/350 CE	4110
19	398/399 CE	4159
20	447/448 CE	4208
21	496/497 CE	4257
22	545/546 CE	4306
23	594/595 CE	4355
24	643/645 CE	4404
25	692/693 CE	4453
26	741/742 CE	4502
27	790/791 CE	4551
28	839/840 CE	4600
29	888/889 CE	4649
30	937/938 CE	4698
31	986/987 CE	4747
32	1035/1036 CE	4796
33	1084/1085 CE	4845
34	1133/1134 CE	4894
35	1182/1183 CE	4943
36	1231/1232 CE	4992
37	1280/1281 CE	5041
38	1329/1330 CE	5090
39	1378/1379 CE	5139
40	1427/1428 CE	5188
41	1476/1477 CE	5237
42	1525/1526 CE	5286
43	1574/1575 CE	5335
44	1623/1524 CE	5384
45	1672/1573 CE	5433
46	1721/1722 CE	5482
47	1770/1771 CE	5531
48	1819/1820 CE	5580
49	1868/1869 CE	5629
50	1917/1918 CE	5678
51	1966/1967 CE	5727
52	2015/2016 CE	5776
53	2064/2065 CE	5825
54	2113/2114 CE	5874
55	2162/2127 CE	5923
56	2211/2212 CE	5972
57	2260/2261 CE	6021
58	2309/2310 CE	6070

New Cycle Sabbatical Years

New Cycle Jubilees 1-58 527 BCE – 189 CE	BCE/CEt/t	AMt/t	Known Events
1	527/526 BCE	3235
2	520/519 BCE	3236
3	513/512 BCE	3237
4	506/505 BCE	3238
5	499/498 BCE	3239
6	492/491 BCE	3240
7	485/484 BCE	3241
8	478/477 BCE	3242
9	471/470 BCE	3243
10	464/463 BCE	3244
11	457/456 BCE	3245
12	450/449 BCE	3246
13	443/442 BCE	3247
14	436/435 BCE	3248
15	429/428 BCE	3249
16	422/421 BCE	3250
17	415/414 BCE	3251
18	408/407 BCE	3252
19	401/400 BCE	3253
20	394/393 BCE	3254
21	387/386 BCE	3255
22	380/379 BCE	3256
23	373/372 BCE	3257
24	366/365 BCE	3258
25	359/358 BCE	3259
26	352/351 BCE	3260
27	345/344 BCE	3261
28	338/337 BCE	3262
29	331/330 BCE	3263
30	324/323 BCE	3264
31	317/316 BCE	3265
32	310/309 BCE	3266
33	303/302 BCE	3267
34	296/295 BCE	3268
35	289/288 BCE	3269
36	282/281 BCE	3270
37	275/274 BCE	3271
38	268/267 BCE	3272
39	261/260 BCE	3273
40	254/253 BCE	3274
41	247/246 BCE	3275
42	240/239 BCE	3276
43	233/232 BCE	3277
44	226/225 BCE	3278
45	219/218 BCE	3279
46	212/211 BCE	3280
47	205/204 BCE	3281
48	198/197 BCE	3282
49	191/190 BCE	3283
50	184/183 BCE	3284
51	177/176 BCE	3285
52	170/169 BCE	3286
53	163/162 BCE	3287
54	156/155 BCE	3288
55	149/148 BCE	3289
56	142/141 BCE	3290
57	135/134 BCE	3291
58	128/127 BCE	3292
59	121/120 BCE	3293
60	114/113 BCE	3294
61	107/106 BCE	3295
62	100/99 BCE	3296
63	93/92 BCE	3297
64	86/85 BCE	3298
65	79/78 BCE	3299
66	72/71 BCE	3300
67	65/64 BCE	3301
68	58/57 BCE	3302
69	51/50 BCE	3303
70	44/43 BCE	3304
71	37/36 BCE	3305
72	30/29 BCE	3306
73	23/22 BCE	3307
74	16/15 BCE	3308
75	9/8 BCE	3309
76	2/1 BCE	3310
77	6/7 CE	3311
78	13/14 CE	3312
79	20/21 CE	3313
80	27/28 CE	3314
81	34/35 CE	3315
82	41/42 CE	3316
83	48/49 CE	3317
84	55/56 CE	3318
85	62/63 CE	3319
86	69/70 CE	3320
87	76/77 CE	3321
88	83/84 CE	3322
89	90/91 CE	3323
90	97/98 CE	3324
91	104/105 CE	3325
92	111/112 CE	3326
93	118/119 CE	3327
94	125/126 CE	3328
95	132/133 CE	3329
96	139/140 CE	3330
97	146/147 CE	3331
98	153/154 CE	3332
99	160/161 CE	3333
100	167/168 CE	3334
101	174/175 CE	3335
102	181/182 CE	3336
103	188/189 CE	3337