LUNI-SOLAR PHASE (3) François I, King of France

 LUNI-SOLAR PHASE (3) François I, King of France

François I
12 Sep 1494 JUL    CAL
friday JUL
radix theme | lat 45° 42' 0" | N 0°20' W W
- LMT -
---------------------------------
natal (bt) -0,208
raas-rams :0h 7' 17"
reckoned bt Lat --> lmt 22 h 37 min
tu 22h 35' 40"
tsn 22h 39' 41"
---------------------------------
timezone  : 0 
DST : 0 (-)
Equation of time -0h 1' 19"
ΔT 0h 3' 24"
---------------------------------

date of death (jul) : 31 March 1547

	SU	MO	ME	VE	MA	JU	SA
(P)eregrine	P		P	P
(D)etrimental						D
(F)all
(Ru)ler
(E)xalt – Recept(/)
(T)rip | (Fa)ce | (te)rm		Fa			Fa	Fa	Fa
(c)ombust – cz (cazimi)						cb
(r)etrograde							r
Or/Occ	Occ	Occ	Occ	Or	Or	Occ	Or
Dom Pl							DOM
Sign (m/f | +1 if L < 5°)	f | 0	m | 0	m | 0	m | 0	m | 0	f | 0	f | 0
Besieged (0-90-180)
house	4	9	5	2	3	4	10
Contrib, house	4	2	3	3	1	4	5
zodiacal value	-1	2	-7	-7	1	-1	0
m ALMUTEN	-0,78	0,00	2,06	2,06	3,24	0,00	1,76
celestial value	-8	-2	-5	-3	1	2	-1
	SU	MO	ME	VE	MA	JU	SA
total value	-9	0	-12	-10	2	1	-1

SU and VE are weak (P) and JU is D and cb.

Primary direction : ◻♄☌♀

DP REGIOMONTANUS (5)			4	quadrant	4
		h	-24,63		-0,04
DIRECTIO RECTA	◻♄☌♀	dec	16,61		25,25
			DP REGIO-CAMPA D		DP REGIO-CAMPA C
	A2 □SA	A1 VE	A1 VE	A2 □SA	A2 □SA	A1 VE
Tan A	tan dec/cos dm		17,81		44,24
B (1)	+LG-A or -LG+A	45,7	63,51		89,94
Tan C	cot DM.cos B/cos A		-49,47		0,05
Sin pole (2)	Cos C.sin LG		27,72		45,70
Sin DA (3)	Tan pole A1.Tan Dec A2 Tan pole A2. Tan Dec A1	DAP (6)	9,02	14,35	28,90	17,80
AO (4)	AR ± DA		129,08	84,55	69,99	120,29
Arc (7)	AO1 – AO2			44,53		50,30
				DIRECT		CONVERS

(1) B must be treated as positive number (< LG)     (2) sign of pole has the same sens of LG for DA Here, DA = DA/pole A – sign pole must be +    (3) sign [-] if pole and Dec have the opposite sign ; sign [+] if planet located in western half, sign [-] if planet located in eastern half ;  Signs [+] and [-] must be reversed for births in the southern hemisphere    (4) to find AO of a star A2 under the pole of A1, we calculate the  DA of A2 under the pole A1 ex: tan pôleA1.tan DecA2=sin DA A2/poleA1    (5) algorithm and lessons from : a)- Gouchon (‘Dictionnaire astrologique’, Dervy, 1946, 1975, p, 276, attributed to H. Selva) ; b)- Martin Gansten (‘Primary directions’, pp, 155-157, 2009, Wessex Astrologer) - instructions for use only appear in Gansten – c)- Astrologia gallica, Morin de Villefranche, trad Holden (appendix 5, pp, 151-153) ; d)- Henry Coley, Clavis astrologiae elimata, 1676, pp. 609-648 ; e)- Henri Selva, La domification, Vigot, 1917, reprint Lacour 1992, p, 25 and 131     (6) ascensional difference under own pole    https://mediocielo.org/risorse/prometheus-video-guide/37-testi-e-file/54-tavole-del-primo-mobile.html(7) if the 0° point of the equator (viz 0° trop ARI) should fall between one of the two points, 360° must be added to arc

Arc Regio = 50.3 Y convers

DP PLACIDUS	Plac direct	Plac conv
sa1/dm1	1,00	3,31
sa2	72,20	61,09
x	72,13	18,47
dm²	21,83	61,03
sign	-1	-1
orient SA and DM	N
arc	-50,30	42,56

FOMALHAUT-CHOISNARD
X = sa2.dm1/sa1 = and the angle x = SAm x DM f/SA f, so : SA m [ 72,2°] x DM f [ 61,03°]/SA f [ 61,09°]
sign : if the two points are on either side of the meridian, take +1 ; otherwise -1
Arc = dm2 ± sign.x We find the direction by DMm - x, so : DM m [ 61,03°] ± x [72,13]

Hyleg - alchocoden

Hy is ASC ; SA is Alch.



LUNI-SOLAR PHASE            
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This is a method that we find outlined in Vettius Valens [book VI 9] as indicated by Anthony Louis in his blog :              
 'Vettius Valens had a different notion of annual returns. He felt that the return of the Sun each year was insufficient for forecasting for the year ahead because it omitted the influence of the the Sun’s partner, the Moon. As a result, Valens used a hybrid chart for the annual return which consisted of the positions of the planets when the Sun returned to its natal position each year but these positions were placed in a chart whose Ascendant and houses were determined by the moment the Moon returned to its natal degree during the zodiacal month when the Sun was in its birth sign.' [The Tithi Pravesh and its Monthly and Daily Iterations, November 5, 2022]              
Placidus uses it in his Primum mobile (Tabulae primi mobilis cum thesibus et canonibus 1657) and gives the procedure to follow in the XL canon (De Progressionibus, p. 53). A complete example appears in the analysis of the theme of Charles V (Exemplum Primum Caroli V. Austriaci Imperatoris, pp. 59-62).              
There is only one site on the internet that does this calculation:  https://horoscopes.astro-seek.com/calculate-planet-revolutions-returns/            
            
but it only gives the soli-lunar return at D0; Placidus continues the progression until end of process (i.e. even). For example in the case of Andoyer, Marie, if we take the date of 31 Mar 1547, we must first translate this date into 'life-year equivalent': we find :            
---------------------------------------            
EVEN    52,5500627880696    52    Y
0    6,60075345683524    6    M
    18,0226037050571    18    D
    0,542488921369568    0    H
        32,55    M
---------------------------------------            
The method of “embolismic lunations” as a predictive technique :   See : Tabulae Primi Mobilis,,, Placido De Titis, Patavii, MDCLVII             
An embolismic lunation, correctly termed an embolismic month, is an intercalary month, inserted in some calendars, such as the Jewish, when the 11-days' annual excess over twelve lunar months adds up to 30. An arbitrary application of this was used by Placidus, who applied the term Embolismic Lunation, to a Figure cast for the moment of the Moon's return to the same relation to the Sun that it occupied at birth. It was made the basis for judgment concerning the affairs and conditions of the ensuing year of life.' [https://astrologysoftware.com/community/learn/dictionary/lunation.html]               
The solar year does not have a whole number of lunar months (it is about 365/29.5 = 12.37 lunations), so a lunisolar calendar must have a variable number of months in a year. Regular years have 12 months, but embolismic years insert a 13th "intercalary" or "leap" month or "embolismic" month every second or third year [...]. Whether to insert an intercalary month in a given year may be determined using regular cycles such as the 19-year Metonic cycle [...] or using calculations of lunar phases [...]. [wikipedia]               
The whole difficulty therefore comes from the fact that there is no overlap between the solar month (30 D) and the lunar month (synodic month 29.53), consequently between the solar year (365.242) and the lunar year (354.367).             
 'In Vedic timekeeping, a tithi is a "duration of two faces of moon that is observed from earth", known as milа̄lyа̄ [...] in Nepal Bhasa, or the time it takes for the longitudinal angle between the Moon and the Sun to increase by 12°. In other words, a tithi is a time duration between the consecutive epochs that correspond to when the longitudinal angle between the Sun and the Moon is an integer multiple of 12°. Tithis begin at varying times of day and vary in duration approximately from 19 to 26 hours. Every day of a lunar month is called tithi.' [wikipedia]              
We see that the interest of Placidus' method (outlined by Vettius Valens) comes from the fact that the individualisation structure of the progression system is no longer represented by a single point (solar return or lunar return) but by a distance ( in this case the distance between SU radix and MO radix).            
We find in the literature another method which is similar to that of the solilunar phase: it is the tertiary directions. We find a critique of it in “Les Moyens de pronostic en Astrologie” by Max DUVAL [ed Traditionnelles, 1986, pp. 67-71] and a complete analysis in "A close look at tertiary progressions" by Elva Howson & Jack Nichols, [Considerations, vol XI-4, 1996; pp 3-12]- https://archive.org/details/considerations-21-1/considerations-11-4/page/n1/mode/2up. But here, I want to try to demonstrate the particular method advocated by Placidus. So:            
In the case of Andoyer, Marie, we observe:            
            
SU radix = 178° 44' 18" (178,74° VIR)            
            
MO radix = 327° 28' 47"° (327,48° AQU)            
            
∆ = |148° 44' 28"| (148,74° ) [ 12 tithi = ROUNDUP (∆/12)]            
            
Here is now the way in which Placidus would have proceeded: for 48 full years, 44 embolismic lunations are accomplished in 4 years after birth but with 44 days less, that is to say 11*4 since the moon covers 12 lunations in 11 days less than a whole year, as indicated in canon XL            
... if you wish to have a ready calculation of the progressions for several years, note that the moon does not complete twelve lunations in one whole year -i.e. a solar year - but in eleven days less. Having therefore the distance from the moon to the sun in the sky of birth, search for this eleventh day before the end of the first year of life and having found it, then know that the progression of twelve years of life is completed. Likewise 22 days before the end of the second year after birth gives the progressions accomplished for 24 years and so on' [De Progressionibus, op. cit., p. 54]            
Therefore on 11 SEP 1498, by removing 44 days, we arrive at 30 July 1498 [,,,] and then, the process is completed for 44 full years. Then, for the 4 other years elapsed during the twelve embolismic lunations, I arrive at 24 November 1498, for the remaining 3 months and 16,24 days (i,e, 23 days and 5,4 hours). I compute the tithi (exact distance between SU and MO radix) for the last time : the date of Embolismic Progression J0 is : 26 November 1498 at 3h 43min tu. Thereafter, i add to this date 16,24 d corresponding to 6,601M [see EVEN] :            
            
JD Pr Emb = 6,6 x 30 / (365.24 /29.53) = 16,24 D            
            
where 365.24 is the number of tropical days in a year and 29.53 is the average period for the synodic month of MO            
            
 trop days 365,242220709317 (1)            
            
syn month = 29,5305877513651 (2)            
            
where T = (JD-2451545)/36525            
            
In the present case JD = 2266995,5            
            
so, T = -5,05268993839836 (see formula 1 and 2)            
            
Finally, we find : date for J16,24D = 12 December 1498 at 9h 33min   local (9h 34min  TU).        
As I have already pointed out, it seems that the date J0 should be used for an event linked to a chronic illness and the terminal date (here 16.24 J) for a critical or acute event. In the case of François I, the illness (syphilis) had been present for many years.   

We find the aspects  ♂☌☽ # ♃ and ♄☌♀.