Institute of Prediction Technology & Forensic Mathematics (PT&FM)
President: John Wong

Institute of Prediction Technology & Forensic Mathematics (PT&FM)

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Analysis of Dayon, `Sam': Sam=1+m+d+I[h/23] (Mod 12)
Zone Number of `Sam' / Lunar day (d)123456789101112131415161718192021222324252627282930
January, m=13456789101101234567891011012345678
February, m=24567891011012345678910110123456789
March, m=356789101101234567891011012345678910
April, m=4678910110123456789101101234567891011
May, m=5789101101234567891011012345678910110
June, m=6891011012345678910110123456789101101
July, m=7910110123456789101101234567891011012
August, m=8101101234567891011012345678910110123
September, m=911012345678910110123456789101101234
October, m=100123456789101101234567891011012345
November, m=111234567891011012345678910110123456
December, m=122345678910110123456789101101234567


Analysis of Dayon, `Bat': Bat=1-m-d-I[h/23] (Mod 12)
Zone Number of `Bat' / Lunar day (d)123456789101112131415161718192021222324252627282930
January, m=1111098765432101110987654321011109876
February, m=210987654321011109876543210111098765
March, m=39876543210111098765432101110987654
April, m=48765432101110987654321011109876543
May, m=57654321011109876543210111098765432
June, m=66543210111098765432101110987654321
July, m=75432101110987654321011109876543210
August, m=843210111098765432101110987654321011
September, m=9321011109876543210111098765432101110
October, m=10210111098765432101110987654321011109
November, m=11101110987654321011109876543210111098
December, m=12011109876543210111098765432101110987


Analysis of Dayon, `Yan': Yan=8+d-A[h/2]+I[h/23] (Mod 12)
Zone Number of `Yan' / Lunar day (d)123456789101112131415161718192021222324252627282930
00:00:00-00:59:59910110123456789101101234567891011012
01:00:00-02:59:59891011012345678910110123456789101101
03:00:00-04:59:59789101101234567891011012345678910110
05:00:00-06:59:59678910110123456789101101234567891011
07:00:00-08:59:5956789101101234567891011012345678910
09:00:00-10:59:594567891011012345678910110123456789
11:00:00-12:59:593456789101101234567891011012345678
13:00:00-14:59:592345678910110123456789101101234567
15:00:00-16:59:591234567891011012345678910110123456
17:00:00-18:59:590123456789101101234567891011012345
19:00:00-20:59:5911012345678910110123456789101101234
21:00:00-22:59:59101101234567891011012345678910110123
23:00:00-23:59:59 10110123456789101101234567891011012 9


Analysis of Dayon, `Kwi': Kwi=2+d+A[h/2]+I[h/23] (Mod 12)
Zone Number of `Kwi' / Lunar day (d)123456789101112131415161718192021222324252627282930
00:00:00-00:59:593456789101101234567891011012345678
01:00:00-02:59:594567891011012345678910110123456789
03:00:00-04:59:5956789101101234567891011012345678910
05:00:00-06:59:59678910110123456789101101234567891011
07:00:00-08:59:59789101101234567891011012345678910110
09:00:00-10:59:59891011012345678910110123456789101101
11:00:00-12:59:59910110123456789101101234567891011012
13:00:00-14:59:59101101234567891011012345678910110123
15:00:00-16:59:5911012345678910110123456789101101234
17:00:00-18:59:590123456789101101234567891011012345
19:00:00-20:59:591234567891011012345678910110123456
21:00:00-22:59:592345678910110123456789101101234567
23:00:00-23:59:59 456789101101234567891011012345678 3


Analysis of `Dayon', Timeon related to `Stem' of day.
Zone Number of Dayon / Stem of Day (U)U=1U=2U=3U=4U=5U=6U=7U=8U=9U=10
Dlu=1+U+I[U/3]-I[U/5]-2xI[U/6]+I[U/7]+I[U/10] (Mod 12) 2 3 5 6 5 6 8 9 11 0
Dyo=2+U+I[U/3]-I[U/5]-2xI[U/6]+I[U/7]+I[U/10] (Mod 12) 3 4 6 7 6 7 9 10 0 1
Dto=U+I[U/3]-I[U/5]-2xI[U/6]+I[U/7]+I[U/10] (Mod 12) 1 2 4 5 4 5 7 8 10 11
Dfi=6+U+I[U/4]+I[U/5]-2xI[U/6]-I[U/8] (Mod 12) 7 8 9 11 1 0 1 2 3 5
Deu=2-U-I[U/4]-I[U/5]+2xI[U/6]+I[U/8] (Mod 12) 1 0 11 9 7 8 7 6 5 3
Dck=4+U+I[U/3]-2xI[U/5]-I[U/6]+I[U/7]+2xI[U/10] (Mod 12) 5 6 8 9 8 9 11 0 2 3
Dkk=10-U-I[U/3]+2xI[U/5]+I[U/6]-I[U/7]-2xI[U/10] (Mod 12) 9 8 6 5 6 5 3 2 0 11
Dhk=11-5xI[U/2]-4xI[U/3]+5xI[U/5]+4xI[U/6]-4xI[U/7]+7xI[U/10] (Mod 12) 11 6 2 9 2 9 5 0 8 3
Dyu=3+U+I[U/3]-2xI[U/5]-I[U/6]+I[U/7]+2xI[U/10] (Mod 12) 4 5 7 8 7 8 10 11 1 2
Dcu=4+U+5xI[U/3]+4xI[U/4]+8xI[U/6]-7xI[U/7]-I[U/8]-3xI[U/9]+I[U/10] (Mod 12) 5 6 0 5 6 8 2 6 9 11
Dym=4+2U-8xI[U/3]+3xI[U/4]-5xI[U/5]+6xI[U/6]+4xI[U/7]-6xI[U/8]-3xI[U/9]-I[U/10] (Mod 12) 6 8 2 7 4 4 10 9 0 8

Analysis of `Dayon', Timeon related to `Root' of day.
Zone Number of Dayon / Root of Day (Z)Z=0Z=1Z=2Z=3Z=4Z=5Z=6Z=7Z=8Z=9Z=10Z=11
Dln=3-Z (Mod 12) 3 2 1 0 11 10 9 8 7 6 5 4
Dhe=9-Z (Mod 12) 9 8 7 6 5 4 3 2 1 0 11 10
Dhm=9+9xR[Z/4] (Mod 12) 9 6 3 0 9 6 3 0 9 6 3 0
Dil=11+Z (Mod 12) 11 0 1 2 3 4 5 6 7 8 9 10
Dkm=9xR[Z/4] (Mod 12) 0 9 6 3 0 9 6 3 0 9 6 3
Dyk=2+9xR[Z/4] (Mod 12) 2 11 8 5 2 11 8 5 2 11 8 5
Dwa=4+9xR[Z/4] (Mod 12) 4 1 10 7 4 1 10 7 4 1 10 7
Dhu=6+Z (Mod 12) 6 7 8 9 10 11 0 1 2 3 4 5
Djy=6+9xR[Z/4] (Mod 12) 6 3 0 9 6 3 0 9 6 3 0 9
Dcp=5+9xR[Z/4] (Mod 12) 5 2 11 8 5 2 11 8 5 2 11 8
Dsu=5+8Z (Mod 12) 5 1 9 5 1 9 5 1 9 5 1 9
Dho=1+Z (Mod 12) 1 2 3 4 5 6 7 8 9 10 11 0
Dmg=11+9xR[Z/4] (Mod 12) 11 8 5 2 11 8 5 2 11 8 5 2

Formulae of Dayons (Timeons of Day)
Explanation There are altogether eighteen `Timeons' which are directly or partially related to lunar day. They are named as `Fate Particle' of `Day' or `Dayon'. Fourteen of them are very significant. They belong to the family of `Chz'. They are named as `Family of Chz' or `Chzons'. The names of other `Dayons' related to lunar day are: 1.`Sam', 2.`Bat', 3.`Yan', 4.`Kwi'. `Sam' means `Elevation' or `Sitting'. `Bat' means `Ride' or `Sitting'. `Yan' means `Grace'. `Kwi' means `Prestigious' or `Nobility'. Other `Dayons' which are relate to `Stem' or `Root' are: 1.`Dco', 2.`Dlu', 3.`Dyo', 4.`Dto', 5.`Dfi', 6.`Deu', 7.`Dck', 8.`Dkk', 9.`Dkw', 10.`Dkg', 11.`Dje', 12.`Duh', 13.`Dkn', 14.`Dfk', 15.`Dyn', 16.`Dhk', 17.`Dcu', 18.`Dha', 19.`Dyu', 20.`Dym', 21.`Djt', 22.`Dch', 23.`Dko', 24.`Dhn', 25.`Dkp', 26.`Dtf', 27.`Dfg', 28.`Dqe/Dka', 29.`Dln', 30.`Dhe', 31.`Dhm', 32.`Dil', 33.`Dmo', 34.`Dty', 35.`Dys', 36.`Dkm', 37.`Dhu', 38.`Dku', 39.`Dci', 40.`Dok', 41.`Dcp', 42.`Djy', 43.`Dtn', 44.`Dsa', 45.`Dsu', 46.`Dyg', 47.`Dhi', 48.`Dpr', 49.`Dho', 50.`Dft', 51.`Dlm', 52.`Dyx', 53.`Daa', 54.`Dcs', 55.`Dyj', 56.`Dht', 57.`Djm', 58.`Dpn', 59.`Dyk', 60.`Dwa', 61.`Dzi', 62.`Dyt', 63.`Dgo', 64.`Dga', 65.`Djf', 66.`Dfe', 67.`Dye', 68.`Dyi', 69.`Dgw', 70.`Dim', 71.`Dss', 72.`Dbw', 73.`Dan', 74.`Dsi', 75.`Dik', 76.`Duk', 77.`Dak', 78.`Ddo', 79.`Dtg', 80.`Dpk', 81.`Dli', 82.`Dfo', 83.`Dat', 84.`Dhg', 85.`Dfu', 86.`Dsy', 87.`Dbi', 88.`Drk', 89.`Dff', 90.`Dju', 91.`Dit', 92.`Ddu', 93.`Dbg', 94.`Dso', 95.`Dse', 96.`Dsg', 97.`Dmg', 98.`Dup', 99.`Dgk', 100.`Dsh', 101.`Dcm', 102.`Dwn', 103.`Dls', 104.`Dhp', 105.`Dxy', 106.`Dkx', 107.`Dwo', 108.`Dwo2', 109.`Dwo3', 110.`Dwo4', 111.`Dwo5', 112.`Dcn' & `Dcn2'. `Dayons' have fantastic powers. They give different invisible influences on human destiny within a whole day. They are dark matters. In general, `Dco' means `Wealth' or `Property'. `Dlu' means `Power' or `Wealth'. `Dyo' means `Injury' or `Destruction'.`Dto' means `Injury' or `Destruction'. `Dfi' means `Outstanding'. `Deu' means `Outstanding'. `Dck' means `Knowledge' or `Education'. `Dkk' means `Oration' or `Music'. `Dkw' means `Felicity' or `Longevity'. `Dkg' means `Religion' or `Fortune-telling'. `Dje' means `Peerage' or `Power'. `Duh' means `Official' or `Power'. `Dkn' means `Promotion' or `Childbirth'. `Dfk' means `Felicity' or `Childbirth'. `Dyn' means `Grace'. `Dhk' means `Learning' or `Hall'. `Dcu' means `Eating' or `Food'. `Dha' means `Aboard' or `Childbirth'. `Dyu' means `Vehicle' or `Transportation'. `Dym' means `Lascivious', `Masturbation' or `Blood'. `Djt' means `Stop' or `Nil'. `Dch' means `Literacy' or `Writing'. `Dko' means `Eloquence' or `Speaking'. `Dhn' means `Loss',`Nil' or `Flight'. `Dkp' means `Robbery' or `Disaster'. `Dtf' means `Success' or `Award'. `Dfg' means `Entitlement', `Mandate' or `Achieve'. `Dqe/Dka' means `Love' or `Marriage'. `Dln' means `Female', `Marriage' or `Blood'. `Dhe' means `Happiness' or `Pregnancy'. `Dhm' means `Lustful', `Masturbate' or `Adultery'. `Dil' means `Coquetry' or `Intercourse'. `Dmo' means `Religion' or `Fortune-telling'. `Dty' means `Sick' or `Disease'. `Dys' means `Conspiracy' or `Plot'. `Dkm' means `Wealth' or `Money'. `Dhu' means `Weakness' or `Empty'. `Dku' means `Sorrow' or `Loss'. `Dci' means `Arts' or `Place'. `Dok' means `Design' or `Room'. `Dcp' means `Robbery' or `Kidnapping'. `Djy' means `Calamity' or `Disaster'. `Dtn' means `Smite male' or `Kill'. `Dsa' means `Gauze' or `Marriage'. `Dsu' means `Puncture' or `Wounded'. `Dyg' means `Wounded' or `Surgery'. `Dhi' means `Disaster' or `Sickness'. `Dpr' means `Destroy' or `Break'. `Dho' means `Consumption' or `Exhaustion'. `Dft' means `Spend' or `Loss'. `Dlm' means `Sick' or `Injury'. `Dyx' means `Lawsuit' or `Disaster'. `Daa' means `Confuse' or `Loss'. `Dcs' means `Wealthy' or `Honour'. `Dyj' means `Leader' or `Brave'. `Dht' means `Bleeding' or `Hurt'. `Djm' means `Bravery'. `Dpn' means `Promotion' or `Travel'. `Dyk' means `Ride' or `Motion'. `Dwa' means `Religion' or `Fortune-telling'. `Dzi' means `Accusation' or `Targeting'. `Dyt' means `Injury' or `Kill'. `Dgo' means `Loneliness' or `Detention'. `Dga' means `Sleep alone' or `Detention'. `Djf' means `Sexual dysfunction' or `No intercourse'. `Dfe' means `Lonliness', `Plague' or `Flight'. `Dye' means `Cure' or `Disease'. `Dyi' means `Medical treatment' or `Doctor'. `Dgw' means `Peerage'. `Dim' means `War' or `Wound'. `Dss' means `Fall down' or `Dead body'. `Dbw' means `Pregnancy', `Childbirth' or `Tumor'. `Dan' means `Parturition', `Reincarnation' or `Tumor'. `Dsi' means `Flood' or `Water'. `Dik' means `Water' or `Drown'. `Duk' means `Detention' or `Imprison'. `Dak' means `Thief' or `Steal'. `Ddo' means `Thief' or `Steal'. `Dtg' means `Bang' or `Thunder'. `Dpk' means `Bang' or `Thunder'. `Dli' means `Bombard', `Gunshot' or `Radiation'. `Dfo' means `Fire', `Burning' or `Radiation'. `Dat' means `squashed' or `squeezed'. `Dhg' means `Pitfall' or `Swallow'. `Dfu' means `Police' or `Litigation'. `Dsy' means `Death order' or `Sick'. `Dbi' means `Loss' or `Destruction'. `Drk' means `Danger' or `Disaster'. `Dff' means `Sick' or `Murder'. `Dju' means `Bondage' or `Twist'. `Dit' means `Talk', `Quarrel', `Eat' or `Lick'. `Ddu' means `Condolence' or `Console'. `Dbg' means `Influenza' or `Sick'. `Dso' means `Seizing', `Bondage', `Rope' or `Umbilical cord'. `Dse' means `Rest' or `Dead'. `Dsg' means `Death' or `Mourning'. `Dmg' means `Death' or `Loss'. `Dup' means `Love' or `Marriage'. `Dgk' means `Quarantine' or `Quarrel'. `Dsh' means `Assassinate' or `Trap'. `Dcm' means `Income' or `Salary'. `Dwn' means `Win' or `Gift'. `Dls' means `Loss' or `Failure'. `Dhp' means `Love' or `Marriage'. `Dxy' means `Suppression' or `Injury'. `Dkx' means `Sick', `Adversity' or `Departure'. `Dwo' means `Natural disaster' or `War'. `Dwo2' means `Natural disaster' or `War'. `Dwo3' means `Natural disaster' or `War'. `Dwo4' means `Natural disaster' or `War'. `Dwo5' means `Natural disaster' or `War'. `Dcn' & `Dcn2' mean `Empty', `Loss' or `Extermination'. The Dayon Formulae are: Sam=1+m+d+I[h/23] (Mod 12), Bat=1-m-d-I[h/23] (Mod 12), Yan=8+d-A[h/2]+I[h/23] (Mod 12), Kwi=2+d+A[h/2]+I[h/23] (Mod 12), Rlu=1+U+I[U/3]-I[U/5]-2xI[U/6]+I[U/7]+I[U/10] (Mod 12),

Dco=10+3xI[U/3]-9xI[U/5]-3xI[U/6]+3xI[U/7]+9xI[U/10] (Mod 12),

Dlu=1+U+I[U/3]-I[U/5]-2xI[U/6]+I[U/7]+I[U/10] (Mod 12),

Dyo=2+U+I[U/3]-I[U/5]-2xI[U/6]+I[U/7]+I[U/10] (Mod 12),

Dto=U+I[U/3]-I[U/5]-2xI[U/6]+I[U/7]+I[U/10] (Mod 12),

Dfi=6+U+I[U/4]+I[U/5]-2xI[U/6]-I[U/8] (Mod 12),

Deu=2-U-I[U/4]-I[U/5]+2xI[U/6]+I[U/8] (Mod 12),

Dck=4+U+I[U/3]-2xI[U/5]-I[U/6]+I[U/7]+2xI[U/10] (Mod 12),

Dkk=10-U-I[U/3]+2xI[U/5]+I[U/6]-I[U/7]-2xI[U/10] (Mod 12),

Dkw=(1-U)&C[U<4:3-U] (Mod 12),

Dkg={1-U-5xI[U/2]+4xI[U/3]+3xI[U/7]+7xI[U/8]-I[U/9]}&C[U=5:4,10]&C[U=6:1,7] (Mod 12),

Dje={5+3xR[(U-1)/2]}&C{U>6:11-9xR[(U-1)/2]} (Mod 12),

Duh=1-U+5xI[U/3]+5xI[U/5]-5xI[U/6]+2xI[U/7]-5xI[U/10] (Mod 12),

Dkn=6+U-4xI[U/2]+9xI[U/6]+I[U/7]+I[U/8]-I[U/10] (Mod 12),

Dfk=10-U+5xI[U/3]-7xI[U/5]-5xI[U/6]+5xI[U/7]-3xI[U/9]+7xI[U/10] (Mod 12),

Dyn=5-3xR[U/5]+I[{R[U/5]}/4] (Mod 12),

Dhk=11-5xI[U/2]-4xI[U/3]+5xI[U/5]+4xI[U/6]-4xI[U/7]+7xI[U/10] (Mod 12),

Dcu=4+U+5xI[U/3]+4xI[U/4]+8xI[U/6]-7xI[U/7]-I[U/8]-3xI[U/9]+I[U/10] (Mod 12),

Dha=2+7U-6xI[U/2]-10xI[U/3]+2xI[U/5]-2xI[U/6]+3xI[U/7]-2xI[U/8]-I[U/9] (Mod 12),

Dyu=3+U+I[U/3]-2xI[U/5]-I[U/6]+I[U/7]+2xI[U/10] (Mod 12),

Dym=4+2U-8xI[U/3]+3xI[U/4]-5xI[U/5]+6xI[U/6]+4xI[U/7]-6xI[U/8]-3xI[U/9]-I[U/10] (Mod 12),

Djt=10-2U-I[U/6] (Mod 12),

Dch=10-Z (Mod 12),

Dko=4+Z (Mod 12),

Dhn=11-Z (Mod 12),

Dkp=11+Z (Mod 12),

Dtf=6+Z (Mod 12),

Dfg=2+Z (Mod 12),

Dqe/Dka=6+Z (Mod 12),

Dln=3-Z (Mod 12),

Dhe=9-Z (Mod 12),

Dhm=9+9xR[Z/4] (Mod 12),

Dil=11+Z (Mod 12),

Dmo=2+9Z-3xI[Z/2]-6xI[Z/3]-6xI[Z/6]+6xI[Z/7]+6xI[Z/9]+6xI[Z/11] (Mod 12),

Dty=10-8Z+4xI[Z/2]-9xI[Z/3]+3xI[Z/4]+6xI[Z/5]+6xI[Z/6]-8xI[Z/7]+9xI[Z/8]+I[Z/9]-7xI[Z/10] (Mod 12),

Dys=6-2Z (Mod 12),

Dkm=9xR[Z/4] (Mod 12),

Dhu=6+Z (Mod 12),

Dku=6-Z (Mod 12),

Dci=Z-8 (Mod 12),

Dok=10-Z (Mod 12),

Dcp=5+9xR[Z/4] (Mod 12),

Djy=6+9xR[Z/4] (Mod 12),

Dtn=7+9xR[Z/4] (Mod 12),

Dsa=5+8Z (Mod 12),

Dsu=5+8Z (Mod 12),

Dyg=3-5Z+9xI[Z/4]-3xI[Z/5]+3xI[Z/6]-3xI[Z/8]+6xI[Z/10]+9xI[Z/11] (Mod 12),

Dhi=7-Z (Mod 12),

Dpr=(3+Z)&C{R[Z/2]=0:9+Z} (Mod 12),

Dho=1+Z (Mod 12),

Dft=2Z+8 (Mod 12),

Daa=5+2Z-9xI[Z/3]-3xI[Z/4]+9xI[Z/6]+3xI[Z/8]+9xI[Z/9] (Mod 12),

Dcs=(2-Z)&C[5<Z<11:Z+4] (Mod 12),

Dyj=11-Z (Mod 12),

Dht=6-6Z+7xI[Z/2]+6xI[Z/4]+6xI[Z/6]+6xI[Z/10] (Mod 12),

Djm=9xR[Z/4] (Mod 12),

Dpn=1+9xR[Z/4] (Mod 12),

Dyk=2+9xR[Z/4] (Mod 12),

Dwa=4+9xR[Z/4] (Mod 12),

Dzi=8+9xR[Z/4] (Mod 12),

Dyt=10+9xR[Z/4] (Mod 12),

Dgo=2+3xI[(Z+1)/3] (Mod 12),

Dga=10+3xI[(Z+1)/3] (Mod 12),

Djf=3xR[Z/3]+2xI[{R[Z/3]}/2] (Mod 12),

Dfe=8+Z-6xI[Z/3] (Mod 12),

Dye=3+Z (Mod 12),

Dyi=11+Z (Mod 12),

Dgw=2-3xR[Z/4] (Mod 12),

Dim=Z,

Dss=Z,

Dbw=3+R[Z/6] (Mod 12),

Dan=9+R[Z/6] (Mod 12),

Dsi=3+6Z+9xI[Z/2]-6xI[Z/4] (Mod 12),

Dik=1+3xI[{Z+1 (Mod 12)}/3] (Mod 12),

Duk=5+9xR[Z/4] (Mod 12),

Dak=6-7Z+9xI[Z/4]-9xI[Z/5]+3xI[Z/8]-3xI[Z/10] (Mod 12),

Ddo=5+3xR[Z/4] (Mod 12),

Dtg=2Z+8 (Mod 12),

Dpk=7+4Z-I[Z/2]+2xI[Z/3]-4xI[Z/4]-I[Z/6]-2xI[Z/7]+2xI[Z/8]+10xI[Z/9]+I[Z/10]+2xI[Z/11] (Mod 12),

Dli=8-3xR[Z/4] (Mod 12),

Dfo=1+Z (Mod 12),

Dat=12-Z (Mod 12),

Dhg=10-4Z-2xI[Z/2]+2xI[Z/4]+3xI[Z/5]+4xI[Z/6]+6xI[Z/9]+5xI[Z/10]+9xI[Z/11] (Mod 12),

Dfu=4+Z (Mod 12),

Dsy=5+Z (Mod 12),

Dbi=6+Z (Mod 12),

Drk=7+Z (Mod 12),

Dff=8+Z (Mod 12),

Dju=9+Z (Mod 12),

Dit=9+Z (Mod 12),

Ddu=10+Z (Mod 12),

Dbg=11+Z (Mod 12),

Dso=3+Z (Mod 12),

Dse=3+9xR[Z/4] (Mod 12),

Dsg=2+Z (Mod 12),

Dmg=11+9xR[Z/4] (Mod 12),

Dup=1-Z (Mod 12),

Dgk=3xI[(Z+4)/3] (Mod 12),

Dsh=&C[Z=0, 4:1]&C[Z=1:2]&C[Z=5:9]&C[Z=6, 11:4]&C[Z=8, 9:10] (Mod 12).

`U' is `Stem' of day. `Z' is `Root' of day. `m' is the month of birth of a person after `Joint of Month' in Gregorian calendar. If the time of birth is before `Joint of Month', it is regarded as previous month. Since gravity of the moon can also affect human thinkings and behaviours, `d' is the lunar day of a month, not reckoned in Gregorian calendar. `h' is the real time reckoning on a 24-hour base. The unit is hour. If the time is after 11:00 p.m., the day is regarded as next day and the time is regarded as 0:00 a.m. `R[m/n]' is a remainder function such that it takes the remainder of `m' divided by `n'. `n' is a natural number. Natural numbers are 1,2,3,4,5,……. Zero is not a natural number. `A[n]' is an approximated integer function such that it takes the nearest whole number of `n'. `I[n]' is an integer function such that it takes the integral part of number `n' without rounding up it. `&C[ ]' is a conditional function of an event such that the mathematical expression after the `:' sign must be operated if the event occurs (i.e. The conditional `&C[ ]' becomes true.). `Z=(Mod 12)' is a modulated function such that the smallest value of it is 0 and the largest value of it is 11. If Z>11 then `Z' becomes `Z-12' and if Z<0 then `Z' becomes `Z+12'. Thus, the value range of `Z=(Mod 12)' is from 0 to 11.

Example: SamAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since 11:40:30 p.m. on 26th January of 2015 is after `Joint of January' which is at 0:57 a.m. on 6th January of 2015, m=1 and d=7. h=23+(40/60)+(30/3600) and h=23.67499 . Apply the `Dayon Formulae'. Sam=1+m+d+I[h/23] (Mod 12). Sam=1+1+7+I[23.67499/23] (Mod 12). Sam=9+I[1.02934] (Mod 12). Sam=9+1 (Mod 12). Sam=10 (Mod 12). Sam=10.
Example: BatAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since 11:40:30 p.m. on 26th January of 2015 is after `Joint of January' which is at 0:57 a.m. on 6th January of 2015, m=1 and d=7. h=23+(40/60)+(30/3600) and h=23.67499 . Apply the `Dayon Formulae'. Bat=1-m-d-I[h/23] (Mod 12). Bat=1-1-7-I[23.67499/23] (Mod 12). Bat= -7-I[1.02934] (Mod 12). Bat= -7-1 (Mod 12). Bat= -8 (Mod 12). Bat=12-8. Bat=4.
Example: YanAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since 11:40:30 p.m. on 26th January of 2015 is after `Joint of January' which is at 0:57 a.m. on 6th January of 2015, m=1 and d=7. h=23+(40/60)+(30/3600) and h=23.67499 . Apply the `Dayon Formulae'. Yan=8+d-A[h/2]+I[h/23] (Mod 12). Yan=8+7-A[23.67499/2]+I[23.67499/23] (Mod 12). Yan=15-A[11.83749]+I[1.02934] (Mod 12). Yan=15-12+1 (Mod 12). Yan=4 (Mod 12). Yan=4.
Example: KwiAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since 11:40:30 p.m. on 26th January of 2015 is after `Joint of January' which is at 0:57 a.m. on 6th January of 2015, m=1 and d=7. h=23+(40/60)+(30/3600) and h=23.67499 . Apply the `Dayon Formulae'. Kwi=2+d+A[h/2]+I[h/23] (Mod 12). Kwi=2+7+A[23.67499/2]+I[23.67499/23] (Mod 12). Kwi=9+A[11.83749]+I[1.02934] (Mod 12). Kwi=9+12+1 (Mod 12). Kwi=22 (Mod 12). Kwi=22-12. Kwi=10.
Example: DluAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Stem of Day' is U=9. Apply the `Dayon' Formula, Dlu=1+U+I[U/3]-I[U/5]-2xI[U/6]+I[U/7]+I[U/10] (Mod 12). Dlu=1+9+I[9/3]-I[9/5]-2xI[9/6]+I[9/7]+I[9/10] (Mod 12). Dlu=10+I[3]-I[1.8]-2xI[1.5]+I[1.2857]+I[0.9] (Mod 12). Dlu=10+3-1-2x1+1+0 (Mod 12). Dlu=11 (Mod 12). Dlu=11.
Example: DyoAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Stem of Day' is U=9. Apply the `Dayon' Formula, Dyo=2+U+I[U/3]-I[U/5]-2xI[U/6]+I[U/7]+I[U/10] (Mod 12). Dyo=2+9+I[9/3]-I[9/5]-2xI[9/6]+I[9/7]+I[9/10] (Mod 12). Dyo=11+I[3]-I[1.8]-2xI[1.5]+I[1.2857]+I[0.9] (Mod 12). Dyo=11+3-1-2x1+1+0 (Mod 12). Dyo=12 (Mod 12). Dyo=12-12. Dyo=0.
Example: DtoAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Stem of Day' is U=9. Apply the `Dayon' Formula, Dto=U+I[U/3]-I[U/5]-2xI[U/6]+I[U/7]+I[U/10] (Mod 12). Dto=9+I[9/3]-I[9/5]-2xI[9/6]+I[9/7]+I[9/10] (Mod 12). Dto=9+I[3]-I[1.8]-2xI[1.5]+I[1.2857]+I[0.9] (Mod 12). Dto=9+3-1-2x1+1+0 (Mod 12). Dto=10 (Mod 12). Dto=10.
Example: DfiAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Stem of Day' is U=9. Apply the `Dayon' Formula, Dfi=6+U+I[U/4]+I[U/5]-2xI[U/6]-I[U/8] (Mod 12). Dfi=6+9+I[9/4]+I[9/5]-2xI[9/6]-I[9/8] (Mod 12). Dfi=15+I[2.25]+I[1.8]-2xI[1.5]-I[1.125] (Mod 12). Dfi=15+2+1-2x1-1 (Mod 12). Dfi=15 (Mod 12). Dfi=15-12. Dfi=3.
Example: DeuAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Stem of Day' is U=9. Apply the `Dayon' Formula, Deu=2-U-I[U/4]-I[U/5]+2xI[U/6]+I[U/8] (Mod 12). Deu=2-9-I[9/4]-I[9/5]+2xI[9/6]+I[9/8] (Mod 12). Deu= -7-I[2.25]-I[1.8]+2xI[1.5]+I[1.125] (Mod 12). Deu= -7-2-1+2x1+1 (Mod 12). Deu= -7 (Mod 12). Deu=12-7. Deu=5.
Example: DckAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Stem of Day' is U=9. Apply the `Dayon' Formula, Dck=4+U+I[U/3]-2xI[U/5]-I[U/6]+I[U/7]+2xI[U/10] (Mod 12). Dck=4+9+I[9/3]-2xI[9/5]-I[9/6]+I[9/7]+2xI[9/10] (Mod 12). Dck=13+I[3]-2xI[1.8]-I[1.5]+I[1.2857]+2xI[0.9] (Mod 12). Dck=13+3-2x1-1+1+2x0 (Mod 12). Dck=14 (Mod 12). Dck=14-12. Dck=2.
Example: DkkAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Stem of Day' is U=9. Apply the `Dayon' Formula, Dkk=10-U-I[U/3]+2xI[U/5]+I[U/6]-I[U/7]-2xI[U/10] (Mod 12). Dkk=10-9-I[9/3]+2xI[9/5]+I[9/6]-I[9/7]-2xI[9/10] (Mod 12). Dkk=1-I[3]+2xI[1.8]+I[1.5]-I[1.2857]-2xI[0.9] (Mod 12). Dkk=1-3+2x1+1-1-2x0 (Mod 12). Dkk=0 (Mod 12). Dkk=0.
Example: DhkAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Stem of Day' is U=9. Apply the `Dayon' Formula, Dhk=11-5xI[U/2]-4xI[U/3]+5xI[U/5]+4xI[U/6]-4xI[U/7]+7xI[U/10] (Mod 12). Dhk=11-5xI[9/2]-4xI[9/3]+5xI[9/5]+4xI[9/6]-4xI[9/7]+7xI[9/10] (Mod 12). Dhk=11-5xI[4.5]-4xI[3]+5xI[1.8]+4xI[1.5]-4xI[1.2857]+7xI[0.9] (Mod 12). Dhk=11-5x4-4x3+5x1+4x1-4x1+7x0 (Mod 12). Dhk= -16 (Mod 12). Dhk=12x2-16. Dhk=8.
Example: DyuAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Stem of Day' is U=9. Apply the `Dayon' Formula, Dyu=3+U+I[U/3]-2xI[U/5]-I[U/6]+I[U/7]+2xI[U/10] (Mod 12). Dyu=3+9+I[9/3]-2xI[9/5]-I[9/6]+I[9/7]+2xI[9/10] (Mod 12). Dyu=12+I[3]-2xI[1.8]-I[1.5]+I[1.2857]+2xI[0.9] (Mod 12). Dyu=12+3-2x1-1+1+2x0 (Mod 12). Dyu=1 (Mod 12). Dyu=1
Example: DcuAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Stem of Day' is U=9. Apply the `Dayon' Formula, Dcu=4+U+5xI[U/3]+4xI[U/4]+8xI[U/6]-7xI[U/7]-I[U/8]-3xI[U/9]+I[U/10] (Mod 12). Dcu=4+9+5xI[9/3]+4xI[9/4]+8xI[9/6]-7xI[9/7]-I[9/8]-3xI[9/9]+I[9/10] (Mod 12). Dcu=13+5xI[3]+4xI[2.25]+8xI[1.5]-7xI[1.2857]-I[1.125]-3xI[1]+I[0.9] (Mod 12). Dcu=13+5x3+4x2+8x1-7x1-1-3x1+0 (Mod 12). Dcu=33 (Mod 12). Dcu=33-12x2. Dcu=9.
Example: DymAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Stem of Day' is U=9. Apply the `Dayon' Formula, Dym=4+2U-8xI[U/3]+3xI[U/4]-5xI[U/5]+6xI[U/6]+4xI[U/7]-6xI[U/8]-3xI[U/9]-I[U/10] (Mod 12). Dym=4+2x9-8xI[9/3]+3xI[9/4]-5xI[9/5]+6xI[9/6]+4xI[9/7]-6xI[9/8]-3xI[9/9]-I[9/10] (Mod 12). Dym=22-8xI[3]+3xI[2.25]-5xI[1.8]+6xI[1.5]+4xI[1.2857]-6xI[1.125]-3xI[1]-I[0.9] (Mod 12). Dym=22-8x3+3x2-5x1+6x1+4x1-6x1-3x1-0 (Mod 12). Dym=0 (Mod 12). Dym=0.
Example: DlnAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Root of Day' is Z=2. Apply the `Dayon' Formula, Dln=3-Z (Mod 12). Dln=3-2 (Mod 12). Dln=1 (Mod 12). Dln=1.
Example: DheAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Root of Day' is Z=2. Apply the `Dayon' Formula, Dhe=9-Z (Mod 12). Dhe=9-2 (Mod 12). Dhe=7 (Mod 12). Dhe=7.
Example: DhmAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Root of Day' is Z=2. Apply the `Dayon' Formula, Dhm=9+9xR[Z/4] (Mod 12). Dhm=9+9xR[2/4] (Mod 12). Dhm=9+9x2 (Mod 12). Dhm=27 (Mod 12). Dhm=27-12x2. Dhm=3.
Example: DilAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Root of Day' is Z=2. Apply the `Dayon' Formula, Dil=11+Z (Mod 12). Dil=11+2 (Mod 12). Dil=13 (Mod 12). Dil=13-12. Dil=1.
Example: DkmAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Root of Day' is Z=2. Apply the `Dayon' Formula, Dkm=9xR[Z/4] (Mod 12). Dkm=9xR[2/4] (Mod 12). Dkm=9x2 (Mod 12). Dkm=18 (Mod 12). Dkm=18-12. Dkm=6.
Example: DykAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Root of Day' is Z=2. Apply the `Dayon' Formula, Dyk=2+9xR[Z/4] (Mod 12). Dyk=2+9xR[2/4] (Mod 12). Dyk=2+9x2 (Mod 12). Dyk=20 (Mod 12). Dyk=20-12. Dyk=8.
Example: DwaAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Root of Day' is Z=2. Apply the `Dayon' Formula, Dwa=4+9xR[Z/4] (Mod 12). Dwa=4+9xR[2/4] (Mod 12). Dwa=4+9x2 (Mod 12). Dwa=22 (Mod 12). Dwa=22-12. Dwa=10.
Example: DhuAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Root of Day' is Z=2. Apply the `Dayon' Formula, Dhu=6+Z (Mod 12). Dhu=6+2 (Mod 12). Dhu=8 (Mod 12). Dhu=8.
Example: DjyAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Root of Day' is Z=2. Apply the `Dayon' Formula, Djy=6+9xR[Z/4] (Mod 12). Djy=6+9xR[2/4] (Mod 12). Djy=6+9x2 (Mod 12). Djy=24 (Mod 12). Djy=24-12x2. Djy=0.
Example: DcpAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Root of Day' is Z=2. Apply the `Dayon' Formula, Dcp=5+9xR[Z/4] (Mod 12). Dcp=5+9xR[2/4] (Mod 12). Dcp=5+9x2 (Mod 12). Dcp=23 (Mod 12). Dcp=23-12. Dcp=11.
Example: DsuAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Root of Day' is Z=2. Apply the `Dayon' Formula, Dsu=5+8Z (Mod 12). Dsu=5+8x2 (Mod 12). Dsu=5+16 (Mod 12). Dsu=21 (Mod 12). Dsu=21-12. Dsu=9.
Example: DhoAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Root of Day' is Z=2. Apply the `Dayon' Formula, Dho=1+Z (Mod 12). Dho=1+2 (Mod 12). Dho=3 (Mod 12). Dho=3.
Example: DmgAssume the time is 11:40:30 p.m. on 26th January of 2015. It is the seventh day of the twelfth month in lunar calendar. The `Year Code' (YC) is (1,6). The `Month Code' (MC) is (4,1). The `Day Code' (DC) is (9,2). The `Hour Code' (HC) is (9,0). Since DC=(9,2), the `Root of Day' is Z=2. Apply the `Dayon' Formula, Dmg=11+9xR[Z/4] (Mod 12). Dmg=11+9xR[2/4] (Mod 12). Dmg=11+9x2 (Mod 12). Dmg=29 (Mod 12). Dmg=29-12x2. Dmg=5.