Číselné soustavy/Soustava o základu 64
 Tato stránka je součástí databáze a projektu:
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{cs}
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| Příslušnost: Kusurija | |
Neboli čtyřiašedesátková soustava. Toto je 100 % vlastní výzkum. Ne, že by informace, zde uvedené, nebyly dosud známy (naprostá většina z nich je známa od starověku, většina malého zbytku je známa z počátků novověku a nepatrný zbytek v posledních desetiletích); vlastním výzkumem je seřazení/prezentace těch informací a naznačené souvislosti mezi nimi. Čtyřiašedesátková soustava je mocninová, proto většinu informací lze nalézt ve dvojkové soustavě. Obdobné mocninové soustavy čtyřková, osmičková se čtyřiašedesátkovou mají soudělný exponent, proto mají více společných vlastností, nežli třeba s dvaatřicítkovou soustavou: Čtyřiašedesátková soustava může být (vedle dvojkové soustavy) výhodným prostředníkem při převodech mezi soustavami čtyřkovou a osmičkovou. Co se týče délek period převrácených hodnot: pokud délka l p.h. je ve dvojkové soustavě dělitelná šesti, potom l ve čtyřiašedesátkové soustavě je šestkrát kratší a zároveň 3krát kratší, než ve čtyřkové soustavě a 2krát kratší, než v osmičkové soustavě. Podobně analogicky při jen částečné soudělnosti l. Pokud l ve dvojkové soustavě není dělitelné ani dvěma ani třemi, je délka l shodná s dvojkovou, čtyřkovou i osmičkovou soustavou. Připomínky jsou vítány - ale raději v diskusi. Tam může kdokoliv i přidávat dotazy či tipy na doplnění. Uvítám i obyčejný komentář kteréhokoliv "kolemjdoucího" o tom, zda je/není článek srozumitelný. kusurija.
Pro číslice menší než 10(10) jsou (počínaje osmnáctkovou soustavou) používány náhradní symboly s přidanou nulou (0) vpředu a i pro číslice vyšší jsou používány dvojčíselné symboly. Navzájem jsou symboly odděleny dvojtečkou s výjimkou čísel jednosymbolových, tedy 00(64) - 63(64).
Číselná řada
[editovat]* (hvězdičkou) jsou označena prvočísla, ** jsou označeny mocniny prvočísel
- Číselná řada
00, 01, 02*, 03*, 04**, 05*, 06, 07*, 08**, 09**, 10, 11*, 12, 13*, 14, 15, 16**, 17*, 18, 19*, 20, 21, 22, 23*, 24, 25**, 26, 27**, 28, 29*, 30, 31*, 32**, 33, 34, 35, 36, 37*, 38, 39, 40, 41*, 42, 43*, 44, 45, 46, 47*, 48, 49**, 50, 51, 52, 53*, 54, 55, 56, 57, 58, 59*, 60, 61*, 62, 63, 01:00**,
01:01, 01:02, 01:03*, 01:04, 01:05, 01:06, 01:07*, 01:08, 01:09*, 01:10, 01:11, 01:12, 01:13, 01:14, 01:15*, 01:16, 01:17**, 01:18, 01:19*, 01:20, 01:21, 01:22, 01:23, 01:24, 01:25*, 01:26, 01:27, 01:28, 01:29, 01:30, 01:31, 01:32, 01:33*, 01:34, 01:35, 01:36, 01:37*, 01:38, 01:39*, 01:40, 01:41, 01:42, 01:43*, 01:44, 01:45*, 01:46, 01:47, 01:48, 01:49*, 01:50, 01:51, 01:52, 01:53, 01:54, 01:55, 01:56, 01:57**, 01:58, 01:59, 01:60, 01:61**, 01:62, 01:63*, 02:00**,
02:01, 02:02, 02:03*, 02:04, 02:05, 02:06, 02:07, 02:08, 02:09*, 02:10, 02:11*, další členy řady viz tabulky...
Malá násobilka
[editovat]| × | 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 01 | 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| 02 | 02 | 04 | 06 | 08 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 | 26 | 28 | 30 | 32 | 34 | 36 | 38 | 40 |
| 03 | 03 | 06 | 09 | 12 | 15 | 18 | 21 | 24 | 27 | 30 | 33 | 36 | 39 | 42 | 45 | 48 | 51 | 54 | 57 | 60 |
| 04 | 04 | 08 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 | 44 | 48 | 52 | 56 | 60 | 01:00 | 01:04 | 01:08 | 01:12 | 01:16 |
| 05 | 05 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 | 01:01 | 01:06 | 01:11 | 01:16 | 01:21 | 01:26 | 01:31 | 01:36 |
| 06 | 06 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 | 01:02 | 01:08 | 01:14 | 01:20 | 01:26 | 01:32 | 01:38 | 01:44 | 01:50 | 01:56 |
| 07 | 07 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 01:06 | 01:13 | 01:20 | 01:27 | 01:34 | 01:41 | 01:48 | 01:55 | 01:62 | 02:05 | 02:12 |
| 08 | 08 | 16 | 24 | 32 | 40 | 48 | 56 | 01:00 | 01:08 | 01:16 | 01:24 | 01:32 | 01:40 | 01:48 | 01:56 | 02:00 | 02:08 | 02:16 | 02:24 | 02:32 |
| 09 | 09 | 18 | 27 | 36 | 45 | 54 | 63 | 01:08 | 01:17 | 01:26 | 01:35 | 01:44 | 01:53 | 01:62 | 02:07 | 02:16 | 02:25 | 02:34 | 02:43 | 02:52 |
| 10 | 10 | 20 | 30 | 40 | 50 | 60 | 01:06 | 01:16 | 01:26 | 01:36 | 01:46 | 01:56 | 02:02 | 02:12 | 02:22 | 02:32 | 02:42 | 02:52 | 02:62 | 03:08 |
| 11 | 11 | 22 | 33 | 44 | 55 | 01:02 | 01:13 | 01:24 | 01:35 | 01:46 | 01:57 | 02:04 | 02:15 | 02:26 | 02:37 | 02:48 | 02:59 | 03:06 | 03:17 | 03:28 |
| 12 | 12 | 24 | 36 | 48 | 60 | 01:08 | 01:20 | 01:32 | 01:44 | 01:56 | 02:04 | 02:16 | 02:28 | 02:40 | 02:52 | 03:00 | 03:12 | 03:24 | 03:36 | 03:48 |
| 13 | 13 | 26 | 39 | 52 | 01:01 | 01:14 | 01:27 | 01:40 | 01:53 | 02:02 | 02:15 | 02:28 | 02:41 | 02:54 | 03:03 | 03:16 | 03:29 | 03:42 | 03:55 | 04:04 |
| 14 | 14 | 28 | 42 | 56 | 01:06 | 01:20 | 01:34 | 01:48 | 01:62 | 02:12 | 02:26 | 02:40 | 02:54 | 03:04 | 03:18 | 03:32 | 03:46 | 03:60 | 04:10 | 04:24 |
| 15 | 15 | 30 | 45 | 60 | 01:11 | 01:26 | 01:41 | 01:56 | 02:07 | 02:22 | 02:37 | 02:52 | 03:03 | 03:18 | 03:33 | 03:48 | 03:63 | 04:14 | 04:29 | 04:44 |
| 16 | 16 | 32 | 48 | 01:00 | 01:16 | 01:32 | 01:48 | 02:00 | 02:16 | 02:32 | 02:48 | 03:00 | 03:16 | 03:32 | 03:48 | 04:00 | 04:16 | 04:32 | 04:48 | 05:00 |
| 17 | 17 | 34 | 51 | 01:04 | 01:21 | 01:38 | 01:55 | 02:08 | 02:25 | 02:42 | 02:59 | 03:12 | 03:29 | 03:46 | 03:63 | 04:16 | 04:33 | 04:50 | 05:03 | 05:20 |
| 18 | 18 | 36 | 54 | 01:08 | 01:26 | 01:44 | 01:62 | 02:16 | 02:34 | 02:52 | 03:06 | 03:24 | 03:42 | 03:60 | 04:14 | 04:32 | 04:50 | 05:04 | 05:22 | 05:40 |
| 19 | 19 | 38 | 57 | 01:12 | 01:31 | 01:50 | 02:05 | 02:24 | 02:43 | 02:62 | 03:17 | 03:36 | 03:55 | 04:10 | 04:29 | 04:48 | 05:03 | 05:22 | 05:41 | 05:60 |
| 20 | 20 | 40 | 60 | 01:16 | 01:36 | 01:56 | 02:12 | 02:32 | 02:52 | 03:08 | 03:28 | 03:48 | 04:04 | 04:24 | 04:44 | 05:00 | 05:20 | 05:40 | 05:60 | 06:16 |
| 21 | 21 | 42 | 63 | 01:20 | 01:41 | 01:62 | 02:19 | 02:40 | 02:61 | 03:18 | 03:39 | 03:60 | 04:17 | 04:38 | 04:59 | 05:16 | 05:37 | 05:58 | 06:15 | 06:36 |
| 22 | 22 | 44 | 01:02 | 01:24 | 01:46 | 02:04 | 02:26 | 02:48 | 03:06 | 03:28 | 03:50 | 04:08 | 04:30 | 04:52 | 05:10 | 05:32 | 05:54 | 06:12 | 06:34 | 06:56 |
| 23 | 23 | 46 | 01:05 | 01:28 | 01:51 | 02:10 | 02:33 | 02:56 | 03:15 | 03:38 | 03:61 | 04:20 | 04:43 | 05:02 | 05:25 | 05:48 | 06:07 | 06:30 | 06:53 | 07:12 |
| 24 | 24 | 48 | 01:08 | 01:32 | 01:56 | 02:16 | 02:40 | 03:00 | 03:24 | 03:48 | 04:08 | 04:32 | 04:56 | 05:16 | 05:40 | 06:00 | 06:24 | 06:48 | 07:08 | 07:32 |
| 25 | 25 | 50 | 01:11 | 01:36 | 01:61 | 02:22 | 02:47 | 03:08 | 03:33 | 03:58 | 04:19 | 04:44 | 05:05 | 05:30 | 05:55 | 06:16 | 06:41 | 07:02 | 07:27 | 07:52 |
| 26 | 26 | 52 | 01:14 | 01:40 | 02:02 | 02:28 | 02:54 | 03:16 | 03:42 | 04:04 | 04:30 | 04:56 | 05:18 | 05:44 | 06:06 | 06:32 | 06:58 | 07:20 | 07:46 | 08:08 |
| 27 | 27 | 54 | 01:17 | 01:44 | 02:07 | 02:34 | 02:61 | 03:24 | 03:51 | 04:14 | 04:41 | 05:04 | 05:31 | 05:58 | 06:21 | 06:48 | 07:11 | 07:38 | 08:01 | 08:28 |
| 28 | 28 | 56 | 01:20 | 01:48 | 02:12 | 02:40 | 03:04 | 03:32 | 03:60 | 04:24 | 04:52 | 05:16 | 05:44 | 06:08 | 06:36 | 07:00 | 07:28 | 07:56 | 08:20 | 08:48 |
| 29 | 29 | 58 | 01:23 | 01:52 | 02:17 | 02:46 | 03:11 | 03:40 | 04:05 | 04:34 | 04:63 | 05:28 | 05:57 | 06:22 | 06:51 | 07:16 | 07:45 | 08:10 | 08:39 | 09:04 |
| 30 | 30 | 60 | 01:26 | 01:56 | 02:22 | 02:52 | 03:18 | 03:48 | 04:14 | 04:44 | 05:10 | 05:40 | 06:06 | 06:36 | 07:02 | 07:32 | 07:62 | 08:28 | 08:58 | 09:24 |
| 31 | 31 | 62 | 01:29 | 01:60 | 02:27 | 02:58 | 03:25 | 03:56 | 04:23 | 04:54 | 05:21 | 05:52 | 06:19 | 06:50 | 07:17 | 07:48 | 08:15 | 08:46 | 09:13 | 09:44 |
| 32 | 32 | 01:00 | 01:32 | 02:00 | 02:32 | 03:00 | 03:32 | 04:00 | 04:32 | 05:00 | 05:32 | 06:00 | 06:32 | 07:00 | 07:32 | 08:00 | 08:32 | 09:00 | 09:32 | 10:00 |
| 33 | 33 | 01:02 | 01:35 | 02:04 | 02:37 | 03:06 | 03:39 | 04:08 | 04:41 | 05:10 | 05:43 | 06:12 | 06:45 | 07:14 | 07:47 | 08:16 | 08:49 | 09:18 | 09:51 | 10:20 |
| 34 | 34 | 01:04 | 01:38 | 02:08 | 02:42 | 03:12 | 03:46 | 04:16 | 04:50 | 05:20 | 05:54 | 06:24 | 06:58 | 07:28 | 07:62 | 08:32 | 09:02 | 09:36 | 10:06 | 10:40 |
| 35 | 35 | 01:06 | 01:41 | 02:12 | 02:47 | 03:18 | 03:53 | 04:24 | 04:59 | 05:30 | 06:01 | 06:36 | 07:07 | 07:42 | 08:13 | 08:48 | 09:19 | 09:54 | 10:25 | 10:60 |
| 36 | 36 | 01:08 | 01:44 | 02:16 | 02:52 | 03:24 | 03:60 | 04:32 | 05:04 | 05:40 | 06:12 | 06:48 | 07:20 | 07:56 | 08:28 | 09:00 | 09:36 | 10:08 | 10:44 | 11:16 |
| 37 | 37 | 01:10 | 01:47 | 02:20 | 02:57 | 03:30 | 04:03 | 04:40 | 05:13 | 05:50 | 06:23 | 06:60 | 07:33 | 08:06 | 08:43 | 09:16 | 09:53 | 10:26 | 10:63 | 11:36 |
| 38 | 38 | 01:12 | 01:50 | 02:24 | 02:62 | 03:36 | 04:10 | 04:48 | 05:22 | 05:60 | 06:34 | 07:08 | 07:46 | 08:20 | 08:58 | 09:32 | 10:06 | 10:44 | 11:18 | 11:56 |
| 39 | 39 | 01:14 | 01:53 | 02:28 | 03:03 | 03:42 | 04:17 | 04:56 | 05:31 | 06:06 | 06:45 | 07:20 | 07:59 | 08:34 | 09:09 | 09:48 | 10:23 | 10:62 | 11:37 | 12:12 |
| 40 | 40 | 01:16 | 01:56 | 02:32 | 03:08 | 03:48 | 04:24 | 05:00 | 05:40 | 06:16 | 06:56 | 07:32 | 08:08 | 08:48 | 09:24 | 10:00 | 10:40 | 11:16 | 11:56 | 12:32 |
| 41 | 41 | 01:18 | 01:59 | 02:36 | 03:13 | 03:54 | 04:31 | 05:08 | 05:49 | 06:26 | 07:03 | 07:44 | 08:21 | 08:62 | 09:39 | 10:16 | 10:57 | 11:34 | 12:11 | 12:52 |
| 42 | 42 | 01:20 | 01:62 | 02:40 | 03:18 | 03:60 | 04:38 | 05:16 | 05:58 | 06:36 | 07:14 | 07:56 | 08:34 | 09:12 | 09:54 | 10:32 | 11:10 | 11:52 | 12:30 | 13:08 |
| 43 | 43 | 01:22 | 02:01 | 02:44 | 03:23 | 04:02 | 04:45 | 05:24 | 06:03 | 06:46 | 07:25 | 08:04 | 08:47 | 09:26 | 10:05 | 10:48 | 11:27 | 12:06 | 12:49 | 13:28 |
| 44 | 44 | 01:24 | 02:04 | 02:48 | 03:28 | 04:08 | 04:52 | 05:32 | 06:12 | 06:56 | 07:36 | 08:16 | 08:60 | 09:40 | 10:20 | 11:00 | 11:44 | 12:24 | 13:04 | 13:48 |
| 45 | 45 | 01:26 | 02:07 | 02:52 | 03:33 | 04:14 | 04:59 | 05:40 | 06:21 | 07:02 | 07:47 | 08:28 | 09:09 | 09:54 | 10:35 | 11:16 | 11:61 | 12:42 | 13:23 | 14:04 |
| 46 | 46 | 01:28 | 02:10 | 02:56 | 03:38 | 04:20 | 05:02 | 05:48 | 06:30 | 07:12 | 07:58 | 08:40 | 09:22 | 10:04 | 10:50 | 11:32 | 12:14 | 12:60 | 13:42 | 14:24 |
| 47 | 47 | 01:30 | 02:13 | 02:60 | 03:43 | 04:26 | 05:09 | 05:56 | 06:39 | 07:22 | 08:05 | 08:52 | 09:35 | 10:18 | 11:01 | 11:48 | 12:31 | 13:14 | 13:61 | 14:44 |
| 48 | 48 | 01:32 | 02:16 | 03:00 | 03:48 | 04:32 | 05:16 | 06:00 | 06:48 | 07:32 | 08:16 | 09:00 | 09:48 | 10:32 | 11:16 | 12:00 | 12:48 | 13:32 | 14:16 | 15:00 |
| 49 | 49 | 01:34 | 02:19 | 03:04 | 03:53 | 04:38 | 05:23 | 06:08 | 06:57 | 07:42 | 08:27 | 09:12 | 09:61 | 10:46 | 11:31 | 12:16 | 13:01 | 13:50 | 14:35 | 15:20 |
| 50 | 50 | 01:36 | 02:22 | 03:08 | 03:58 | 04:44 | 05:30 | 06:16 | 07:02 | 07:52 | 08:38 | 09:24 | 10:10 | 10:60 | 11:46 | 12:32 | 13:18 | 14:04 | 14:54 | 15:40 |
| 51 | 51 | 01:38 | 02:25 | 03:12 | 03:63 | 04:50 | 05:37 | 06:24 | 07:11 | 07:62 | 08:49 | 09:36 | 10:23 | 11:10 | 11:61 | 12:48 | 13:35 | 14:32 | 15:09 | 15:60 |
| 52 | 52 | 01:40 | 02:28 | 03:16 | 04:04 | 04:56 | 05:44 | 06:32 | 07:20 | 08:08 | 08:60 | 09:48 | 10:36 | 11:24 | 12:12 | 13:00 | 13:52 | 14:40 | 15:28 | 16:16 |
| 53 | 53 | 01:42 | 02:31 | 03:20 | 04:09 | 04:62 | 05:51 | 06:40 | 07:29 | 08:18 | 09:07 | 09:60 | 10:49 | 11:38 | 12:27 | 13:16 | 14:05 | 14:58 | 15:47 | 16:36 |
| 54 | 54 | 01:44 | 02:34 | 03:24 | 04:14 | 05:04 | 05:58 | 06:48 | 07:38 | 08:28 | 09:18 | 10:08 | 10:62 | 11:52 | 12:42 | 13:32 | 14:22 | 15:12 | 16:02 | 16:56 |
| 55 | 55 | 01:46 | 02:37 | 03:28 | 04:19 | 05:10 | 06:01 | 06:56 | 07:47 | 08:38 | 09:29 | 10:20 | 11:11 | 12:02 | 12:57 | 13:48 | 14:39 | 15:30 | 16:21 | 17:12 |
| 56 | 56 | 01:48 | 02:40 | 03:32 | 04:24 | 05:16 | 06:08 | 07:00 | 07:56 | 08:48 | 09:40 | 10:32 | 11:24 | 12:16 | 13:08 | 14:00 | 14:56 | 15:48 | 16:40 | 17:32 |
| 57 | 57 | 01:50 | 02:43 | 03:36 | 04:29 | 05:22 | 06:15 | 07:08 | 08:01 | 08:58 | 09:51 | 10:44 | 11:37 | 12:30 | 13:23 | 14:16 | 15:09 | 16:02 | 16:59 | 17:52 |
| 58 | 58 | 01:52 | 02:46 | 03:40 | 04:34 | 05:28 | 06:22 | 07:16 | 08:10 | 09:04 | 09:62 | 10:56 | 11:50 | 12:44 | 13:38 | 14:32 | 15:26 | 16:20 | 17:14 | 18:08 |
| 59 | 59 | 01:54 | 02:49 | 03:44 | 04:39 | 05:34 | 06:29 | 07:24 | 08:19 | 09:14 | 10:09 | 11:04 | 11:63 | 12:58 | 13:53 | 14:48 | 15:43 | 16:38 | 17:33 | 18:28 |
| 60 | 60 | 01:56 | 02:52 | 03:48 | 04:44 | 05:40 | 06:36 | 07:32 | 08:28 | 09:24 | 10:20 | 11:16 | 12:12 | 13:08 | 14:04 | 15:00 | 15:60 | 16:56 | 17:52 | 18:48 |
| 61 | 61 | 01:58 | 02:55 | 03:52 | 04:49 | 05:46 | 06:43 | 07:40 | 08:37 | 09:34 | 10:31 | 11:28 | 12:25 | 13:22 | 14:19 | 15:16 | 16:13 | 17:10 | 18:07 | 19:04 |
| 62 | 62 | 01:60 | 02:58 | 03:56 | 04:54 | 05:52 | 06:50 | 07:48 | 08:46 | 09:44 | 10:42 | 11:40 | 12:38 | 13:36 | 14:34 | 15:32 | 16:30 | 17:28 | 18:26 | 19:24 |
| 63 | 63 | 01:62 | 02:61 | 03:60 | 04:59 | 05:58 | 06:57 | 07:56 | 08:55 | 09:54 | 10:53 | 11:52 | 12:51 | 13:50 | 14:49 | 15:48 | 16:47 | 17:46 | 18:45 | 19:44 |
| 01:00 | 01:00 | 02:00 | 03:00 | 04:00 | 05:00 | 06:00 | 07:00 | 08:00 | 09:00 | 10:00 | 11:00 | 12:00 | 13:00 | 14:00 | 15:00 | 16:00 | 17:00 | 18:00 | 19:00 | 20:00 |
Převrácené hodnoty prvočísel
[editovat]- Převrácené hodnoty prvočísel (1/p); do 11 všech čísel (1/n) a vybraných součinů.
l.p. - délka periody; pp=předperioda
2: 00,32:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp
3: 00,21:21:21:21:21:21:21:21:21:21:21:21... l.p. = 1
4: 00,16:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp
5: 00,12:51:12:51:12:51:12:51:12:51:12:51... l.p. = 2
6: 00,10:42:42:42:42:42:42:42:42:42:42:42... l.p. = 1+1pp
7: 00,09:09:09:09:09:09:09:09:09:09:09:09... l.p. = 1
8: 00,08:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp
9: 00,07:07:07:07:07:07:07:07:07:07:07:07... l.p. = 1
10: 00,06:25:38:25:38:25:38:25:38:25:38:25:38... l.p. = 2+1pp
11: 00,05:52:23:17:29:05:52:23:17:29... l.p. = 5
13: 00,04:59:04:59:04:59:04:59:04:59:04:59... l.p. = 2
17: 00,03:48:60:15:03:48:60:15:03:48:60:15... l.p. = 4
19: 00,03:23:37:03:23:37:03:23:37:03:23:37... l.p. = 3
21: 00,03:03:03:03:03:03:03:03:03:03:03:03... l.p. = 1
23: 00,02:50:05:36:11:08:22:16:44:33:25... l.p. = 11
29: 00,02:13:15:28:44:08:52:61:50:48:35:19:55:11... l.p. = 14
31: 00,02:04:08:16:33:02:04:08:16:33... l.p. = 5
32: 00,02:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp
37: 00,01:46:44:62:17:19:01:46:44:62:17:19... l.p. = 6
41: 00,01:35:57:48:24:62:28:06:15:39:01:35... l.p. = 10
43: 00,01:31:16:23:52:05:61:01:31:16:23:52:05:61... l.p. = 7
47: 00,01:23:09:34:02:46:19:04:05:28:38:08... l.p. = 23
53: 00,01:13:18:07:15:44:43:30:12:04:53:08... l.p. = 26
59: 00,01:05:27:07:37:61:53:09:48:52:04:21... l.p. = 29
61: 00,01:03:09:28:20:62:60:54:35:43... l.p. = 10
63: 00,01:01:01:01:01:01:01:01:01:01:01:01... l.p. = 1
64: 00,01:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp
65: 00,00:63:00:63:00:63:00:63:00:63:00:63... l.p. = 2
67: 00,00:61:08:38:13:23:56:22:59:14:21... l.p. = 11
71: 00,00:57:44:10:52:18:01:51:24:21:40:36... l.p. = 35
73: 00,00:56:07:00:56:07:00:56:07:00:56:07... l.p. = 3
79: 00,00:51:54:17:52:42:08:06:30:50:14:37... l.p. = 13
83: 00,00:49:22:23:08:30:53:62:29:19:17:47... l.p. = 41
89: 00,00:46:01:28:02:56:05:48:11:32:23... l.p. = 11
97: 00,00:42:14:32:63:21:49:31... l.p. = 8
101: 00,00:40:35:31:03:10:49:27:15:53:55:08... l.p. = 50
103: 00,00:39:49:05:37:57:50:21:08:04:62:08... l.p. = 17
107: 00,00:38:17:60:26:20:21:34:05:62:51:28... l.p. = 53
109: 00,00:37:36:63:26:27:00:37:36:63:26:27... l.p. = 6
113: 00,00:36:15:54:60:02:16:63:27:48:09:03:61:47... l.p. = 14
...
Další lze snadno odvodit z údajů o dvojkové soustavě: délky period jsou šestinové, nežli délky period dělitelné šesti ve dvojkové soustavě a stejné, jako délky period nedělitelné ani třemi, ani dvěma ve dvojkové soustavě. Délky period jsou třetinové, nežli liché délky period dělitelné třemi a poloviční, nežli sudé délky period nedělitelné třemi ve dvojkové soustavě...