(Note: Gematric numbers studied: 9, 18, 36, 37, 72, 108, 144, 256, 288, 576, 666, 729, 2304, 2808...Numbers that run together such as 28089 or 918, should be read as 2808 and 9 or 9 and 18, respectively.
Harmonics of light: Several friends corrected me concerning which is the light harmonic: 144 or 288?..they decided that 144 is light and 288 is double light:
Quote: THE RABBIT TREE &THE LOGIC OF LIFE'S BEGINNING by D. G. Leahy.
"The essential middleness of the logical sequence which is the perfect
balance point of the infinite Fibonacci sequence is evident in the fact that the logical product of the left side of any generation times the
logical value of the dead middle position times the logical product of
the right side -- in that order or the reverse, but with the middle in
the middle -- always equals the logical value of the dead middle
position".
6/12/01 (Note: Using Trinary Logic here, we see the possible reason for "the doubling" that I speak of. This is the 1/2 spin of the electron. This is the "Other Side" and "This Side". What it tells us, is to mirror-reverse-image the Fibonacci series against itself to create the matrix that generates from its own center (0-point). Of course there is no symmetry in irrational constants such as Phi, pi, e, Fibonacci or any constant!!! We may be looking at only 1/2 of it!!!
The Fibonacci Series and the Mayan Calendar
This study shows that the doubled Fibonacci Series is connected to the Mayan Tzolkin Calendar and that the Tzolkin, being a two-part mirror of itself, implies that it represents This Side and the Other Side, other wise known as the visible / invisible worlds, or future to past / past to future. Also within, is a unique use of the number 819 and planet cycles, found elsewhere to be associated with the electron.
6/29/01 After reading Alan Bennett's Earth-Moon Relationship,
Quote: "Although not part of Solar Geometry, even our moon exhibits an unusual relationship to the Earth. Its orbital period times seven-squared, or 49, is 1447, a Prime number",
I took 1447, a Fibonacci Primefound in Fibonacci line number 427 of this File below, (The First 500 Fibonacci Numbers of Ron Knott), multiplying 1447 (prime) x 427 (line number) = 617869, which decimal harmonic is very near .618 or Phi ratio.
Having concluded previously that moons are the oldest bodies of these three, i.e., suns, earths, moons, in that creation order, we might reason that the moon, in its very settled ancient orbit around earth, is demonstrating the final harmonic relationship which underlies all phenomena... Phi.
(Note: By counting primes beginning with 2, in the Fibonacci series, i.e., 2, 3, 5, 13, 89, etc., and by assigning musical steps 1-7 to primes, then progressing two octaves of primes of 7 each, I arrived at line 137. This number 137 is interesting in that the fine-structure constant is 137. No other conclusion can be made about 137, at this time).
The phi relationships between these sites are reflected repeatedly in the first 500 Fibonacci numbers. The first three Prime numbers, 2, 3 and 5, approximate the intervals along the circumference of 20%, 30% and 50%, between these three sites. This same percentage of the circumference relationship, accurate to three digits, is found in Fibonacci numbers 137-139:
Percentage of circumference / First three digits of Fibonacci numbers:
Angkor to Giza: 19.1%...........................#137: 191...
The next PrimeFibonacci number after #137 is #359. The distances
between these sites, in miles, is reflected by Fibonacci numbers
359-361, accurately to five digits:
Distance between sites / First five digits of Fibonacci numbers:
Angkor to Giza: 4,754 miles.................#359: 47542...
Jalison
Other than this, the gematric numbers seem chaotic and without any repeating pattern between one line and the others in accord with a spiraling, ever evolving series of numbers, but there are repeating numbers on one line, for example, 99, 999 or 666. It seems chaotic, although we intuitively know it is not.
Taking the Prime Table, below, we want to search key numbers (Fibonacci Line Numbers, 1-500). Within these Line Numbers is the usual series of irrational numbers of the Fibonacci Series.
Knowing that in music, if we play note A with A^1 we get a harmonious sum and difference. From Ray Tomes, we learn that the Fine Structure Constant may be a beat frequency between two other Notes (perhaps Phi (Ex: A^1) and a lower near-Octave of Phi , i.e., gravity (Ex: A)), producing the electron (137 beat frequency) so we will search Fibonacci Line Number 137 for 144 below. 144 (Light) and 288 (Double Light) are obviously representing a harmonious Octave.
(aligned 288) means we will align the Forward and Reversed Fibonacci Number Sequence to search for our self-imposed pattern beginning with 288 (Double Light). The reason this self-imposed pattern is brought into existence, is that existence (This Side) only has an irrational string of Fibonacci Numbers, which is the only irrational sequence we can possibly work with, along with the irrational constants. Therefore, by reversing this sequence against itself, we mirror the sequence, since mirrored sequences can be useful, knowing that This Side and the Other Side are mirrors of each other (as below, so above). Theoretically, by mirroring, we are including the hidden half of the Other Side in our properly "reversed" calculations and manipulation of number in maths and music. By doing this, we create the harmonic, self-created patterns we do not find in an un-mirrored Fibonacci Series of Natural Growth.
Fibonacci Line Numbers: 90, 128, 137 (Fine Structure?), 144 (Light), 240, 274, 288 (Double Light), 427. Many more Line Numbers and Combinations of Line Numbers can be explored for sequence alignments and their math and music usefulness.
90 (aligned 288)
Forward..................................................*288*0067194370816120
128 (aligned 288)
Forward............................................2517*288*25683549488150424261
137 (aligned 144)
Forward................1913470240009327808*144*9423917
144 (aligned 440)
Forward........................55556540422429269*440*4015791808
240 (aligned 288)
Forward..............642020148637230941269017774*288*731118023075
274 (aligned 288)
Forward................................................8187068542*288*310017538806375350935968114137
288 (aligned 9, 18, 37)
Forward....................6*9*016890693102993513939*18*297920956125
427 (aligned 144)
Forward.........................................................7731030463*441*3492993758*144*74
Line Fibonacci Number Prime
1 : 1
© Copyright. Robert Grace. 2001
18 (1/8th light),
36 (1/4th light),
72 (1/2 light),
144 (light),
288 (2x light),
576 (3x light),
1152 (4x light),
2304 (5x light),
4608 (6x light),
9216 (7x light)...
(Prime)Giza to Nazca: 30.9%......................#138: 309...
Nazca to Angkor: 50.0%..............................#139: 500...
(Prime) Giza to Nazca: 7,692 miles......#360: 76924...
Nazca to Angkor: 12,446 miles......#361: 12446...
Reverse..............0216180734917600*882*
Reverse........16242405188494538652*882*7152
Reverse.............................................7193249*441*8087239000420743191
Reverse............................................018975104*044*96292422404565555
Reverse...............................08632684570320811137*882*47771096214903273684
Reverse..731411869539053573608835710013*882*2458607818
Reverse......6545133*9*089736994984975121659029792*81*93931
Reverse..2784727289429027799055108481835347*441*8573992943144*3640301377
2 : 1
3 : 2 "2 is not a prime." Peter Plictha
4 : 3 "3 is not a prime." Peter Plictha
5 : 5 Prime
6 : 8
7 : 13 Prime
8 : 21
9 : 34
10 : 55
11 : 89 Prime
12 : 144
13 : 233 Prime
14 : 377
15 : 610
16 : 987
17 : 1597 Prime
18 : 2584
19 : 4181 Prime
20 : 6765
21 : 10946
22 : 17711
23 : 28657 Prime
24 : 46368
25 : 75025 Prime
26 : 121393
27 : 196418
28 : 317811
29 : 514229 Prime
30 : 832040
31 : 1346269 Prime
32 : 2178309
33 : 3524578
34 : 5702887
35 : 9227465 Prime
36 : 14930352
37 : 24157817 Prime
38 : 39088169
39 : 63245986
40 : 102334155
41 : 165580141 Prime
42 : 267914296
43 : 433494437 Prime
44 : 701408733
45 : 1134903170
46 : 1836311903
47 : 2971215073 Prime
48 : 4807526976
49 : 7778742049 Prime
50 : 12586269025
51 : 20365011074
52 : 32951280099
53 : 53316291173 Prime
54 : 86267571272
55 : 139583862445 Prime
56 : 225851433717
57 : 365435296162
58 : 591286729879
59 : 956722026041 Prime
60 : 1548008755920
61 : 2504730781961 Prime
62 : 4052739537881
63 : 6557470319842
64 : 10610209857723
65 : 17167680177565 Prime
66 : 27777890035288
67 : 44945570212853 Prime
68 : 72723460248141
69 : 117669030460994
70 : 190392490709135
71 : 308061521170129 Prime
72 : 498454011879264
73 : 806515533049393 Prime
74 : 1304969544928657
75 : 2111485077978050
76 : 3416454622906707
77 : 5527939700884757 Prime
78 : 8944394323791464
79 : 14472334024676221 Prime
80 : 23416728348467685
81 : 37889062373143906
82 : 61305790721611591
83 : 99194853094755497 Prime
84 : 160500643816367088
85 : 259695496911122585 Prime
86 : 420196140727489673
87 : 679891637638612258
88 : 1100087778366101931
89 : 1779979416004714189 Prime
90 : 2880067194370816120
91 : 4660046610375530309 Prime
92 : 7540113804746346429
93 : 12200160415121876738
94 : 19740274219868223167
95 : 31940434634990099905 Prime
96 : 51680708854858323072
97 : 83621143489848422977 Prime
98 : 135301852344706746049
99 : 218922995834555169026
100 : 354224848179261915075
101 : 573147844013817084101 Prime
102 : 927372692193078999176
103 : 1500520536206896083277 Prime
104 : 2427893228399975082453
105 : 3928413764606871165730
106 : 6356306993006846248183
107 : 10284720757613717413913 Prime
108 : 16641027750620563662096
109 : 26925748508234281076009 Prime
110 : 43566776258854844738105
111 : 70492524767089125814114
112 : 114059301025943970552219
113 : 184551825793033096366333 Prime
114 : 298611126818977066918552
115 : 483162952612010163284885 Prime
116 : 781774079430987230203437
117 : xxxxxxxxxxxxxxxxxxxxxxxxxxxx
118 : 2046711111473984623691759
119 : 3311648143516982017180081 Prime
120 : 5358359254990966640871840
121 : 8670007398507948658051921 Prime
122 : 14028366653498915298923761
123 : 22698374052006863956975682
124 : 36726740705505779255899443
125 : 59425114757512643212875125 Prime
126 : 96151855463018422468774568
127 : 155576970220531065681649693 Prime
128 : 251728825683549488150424261
129 : 407305795904080553832073954
130 : 659034621587630041982498215
131 : 1066340417491710595814572169 Prime
132 : 1725375039079340637797070384
133 : 2791715456571051233611642553 Prime
134 : 4517090495650391871408712937
135 : 7308805952221443105020355490
136 : 11825896447871834976429068427
137 : 19134702400093278081449423917 Prime
138 : 30960598847965113057878492344
139 : 50095301248058391139327916261 Prime
140 : 81055900096023504197206408605
141 : 131151201344081895336534324866
142 : 212207101440105399533740733471
143 : 343358302784187294870275058337 Prime
144 : 555565404224292694404015791808
145 : 898923707008479989274290850145 Prime
146 : 1454489111232772683678306641953
147 : 2353412818241252672952597492098
148 : 3807901929474025356630904134051
149 : 6161314747715278029583501626149 Prime
150 : 9969216677189303386214405760200
151 : 16130531424904581415797907386349 Prime
152 : 26099748102093884802012313146549
153 : 42230279526998466217810220532898
154 : 68330027629092351019822533679447
155 : 110560307156090817237632754212345 Prime
156 : 178890334785183168257455287891792
157 : 289450641941273985495088042104137 Prime
158 : 468340976726457153752543329995929
159 : 757791618667731139247631372100066
160 : 1226132595394188293000174702095995
161 : 1983924214061919432247806074196061 Prime
162 : 3210056809456107725247980776292056
163 : 5193981023518027157495786850488117 Prime
164 : 8404037832974134882743767626780173
165 : 13598018856492162040239554477268290
166 : 22002056689466296922983322104048463
167 : 35600075545958458963222876581316753 Prime
168 : 57602132235424755886206198685365216
169 : 93202207781383214849429075266681969 Prime
170 : 150804340016807970735635273952047185
171 : 244006547798191185585064349218729154
172 : 394810887814999156320699623170776339
173 : 638817435613190341905763972389505493 Prime
174 : 1033628323428189498226463595560281832
175 : 1672445759041379840132227567949787325 Prime
176 : 2706074082469569338358691163510069157
177 : 4378519841510949178490918731459856482
178 : 7084593923980518516849609894969925639
179 : 11463113765491467695340528626429782121 Prime
180 : 18547707689471986212190138521399707760
181 : 30010821454963453907530667147829489881 Prime
182 : 48558529144435440119720805669229197641
183 : 78569350599398894027251472817058687522
184 : 127127879743834334146972278486287885163
185 : 205697230343233228174223751303346572685 Prime
186 : 332825110087067562321196029789634457848
187 : 538522340430300790495419781092981030533 Prime
188 : 871347450517368352816615810882615488381
189 : 1409869790947669143312035591975596518914
190 : 2281217241465037496128651402858212007295
191 : 3691087032412706639440686994833808526209 Prime
192 : 5972304273877744135569338397692020533504
193 : 966339130629045077501002539252582905713 Prime
194 : 15635695580168194910579363790217849593217
195 : 25299086886458645685589389182743678652930
196 : 40934782466626840596168752972961528246147
197 : 66233869353085486281758142155705206899077 Prime
198 : 107168651819712326877926895128666735145224
199 : 173402521172797813159685037284371942044301 Prime
200 : 280571172992510140037611932413038677189525
201 : 453973694165307953197296969697410619233826
202 : 734544867157818093234908902110449296423351
203 : 1188518561323126046432205871807859915657177 Prime
204 : 1923063428480944139667114773918309212080528
205 : 3111581989804070186099320645726169127737705 Prime
206 : 5034645418285014325766435419644478339818233
207 : 8146227408089084511865756065370647467555938
208 : 13180872826374098837632191485015125807374171
209 : 21327100234463183349497947550385773274930109 Prime
210 : 34507973060837282187130139035400899082304280
211 : 55835073295300465536628086585786672357234389 Prime
212 : 90343046356137747723758225621187571439538669
213 : 146178119651438213260386312206974243796773058
214 : 236521166007575960984144537828161815236311727
215 : 382699285659014174244530850035136059033084785 Prime
216 : 619220451666590135228675387863297874269396512
217 : 1001919737325604309473206237898433933302481297 Prime
218 : 1621140188992194444701881625761731807571877809
219 : 2623059926317798754175087863660165740874359106
220 : 4244200115309993198876969489421897548446236915
221 : 6867260041627791953052057353082063289320596021 Prime
222 : 11111460156937785151929026842503960837766832936
223 : 17978720198565577104981084195586024127087428957 Prime
224 : 29090180355503362256910111038089984964854261893
225 : 47068900554068939361891195233676009091941690850
226 : 76159080909572301618801306271765994056795952743
227 : 123227981463641240980692501505442003148737643593 Prime
228 : 199387062373213542599493807777207997205533596336
229 : 322615043836854783580186309282650000354271239929 Prime
230 : 522002106210068326179680117059857997559804836265
231 : 844617150046923109759866426342507997914076076194
232 : 1366619256256991435939546543402365995473880912459
233 : 2211236406303914545699412969744873993387956988653 Prime
234 : 3577855662560905981638959513147239988861837901112
235 : 5789092068864820527338372482892113982249794889765 Prime
236 : 9366947731425726508977331996039353971111632790877
237 : 15156039800290547036315704478931467953361427680642
238 : 24522987531716273545293036474970821924473060471519
239 : 39679027332006820581608740953902289877834488152161 Prime
240 : 64202014863723094126901777428873111802307548623680
241 : 103881042195729914708510518382775401680142036775841 Prime
242 : 168083057059453008835412295811648513482449585399521
243 : 271964099255182923543922814194423915162591622175362
244 : 440047156314635932379335110006072428645041207574883
245 : 712011255569818855923257924200496343807632829750245 Prime
246 : 1152058411884454788302593034206568772452674037325128
247 : 1864069667454273644225850958407065116260306867075373 Prime
248 : 3016128079338728432528443992613633888712980904400501
249 : 4880197746793002076754294951020699004973287771475874
250 : 7896325826131730509282738943634332893686268675876375
251 : 12776523572924732586037033894655031898659556447352249 Prime
252 : 20672849399056463095319772838289364792345825123228624
253 : 33449372971981195681356806732944396691005381570580873 Prime
254 : 54122222371037658776676579571233761483351206693809497
255 : 87571595343018854458033386304178158174356588264390370
256 : 141693817714056513234709965875411919657707794958199867
257 : 229265413057075367692743352179590077832064383222590237 Prime
258 : 370959230771131880927453318055001997489772178180790104
259 : 600224643828207248620196670234592075321836561403380341 Prime
260 : 971183874599339129547649988289594072811608739584170445
261 : 1571408518427546378167846658524186148133445300987550786
262 : 2542592393026885507715496646813780220945054040571721231
263 : 4114000911454431885883343305337966369078499341559272017 Prime
264 : 6656593304481317393598839952151746590023553382130993248
265 : 10770594215935749279482183257489712959102052723690265265 Prime
266 : 17427187520417066673081023209641459549125606105821258513
267 : 28197781736352815952563206467131172508227658829511523778
268 : 45624969256769882625644229676772632057353264935332782291
269 : 73822750993122698578207436143903804565580923764844306069 Prime
270 : 119447720249892581203851665820676436622934188700177088360
271 : 193270471243015279782059101964580241188515112465021394429 Prime
272 : 312718191492907860985910767785256677811449301165198482789
273 : 505988662735923140767969869749836918999964413630219877218
274 : 818706854228831001753880637535093596811413714795418360007
275 : 1324695516964754142521850507284930515811378128425638237225 Prime
276 : 2143402371193585144275731144820024112622791843221056597232
277 : 3468097888158339286797581652104954628434169971646694834457 Prime
278 : 5611500259351924431073312796924978741056961814867751431689
279 : 9079598147510263717870894449029933369491131786514446266146
280 : 1469109840686218814894420724595491211054809360138219769783
281 : 2377069655437245186681510169498484548003922538789664396398 Prime
282 : 3846179496123464001575930894093975759058731898927884166181
283 : 6223249151560709188257441063592460307062654437717548562579 Prime
284 : 1006942864768417318983337195768643606612138633664543272876
285 : 1629267779924488237809081302127889637318404077436298129134
286 : 2636210644692905556792418497896533243930542711100841402010
287 : 4265478424617393794601499800024422881248946788537139531143 Prime
288 : 6901689069310299351393918297920956125179489499637980933154
289 : 1116716749392769314599541809794537900642843628817512046429 Prime
290 : 1806885656323799249738933639586633513160792578781310139745
291 : 2923602405716568564338475449381171413803636207598822186175
292 : 4730488062040367814077409088967804926964428786380132325920
293 : 7654090467756936378415884538348976340768064993978954512095 Prime
294 : 1238457852979730419249329362731678126773249378035908683801
295 : 2003866899755424057090917816566575760850055877433804135011 Prime
296 : 3242324752735154476340247179298253887623305255469712818812
297 : 5246191652490578533431164995864829648473361132903516953824
298 : 8488516405225733009771412175163083536096666388373229772636
299 : 1373470805771631154320257717102791318457002752127674672646 Prime
300 : 2222322446294204455297398934619099672066669390964997649909
301 : 3595793252065835609617656651721890990523672143092672322555 Prime
302 : 5818115698360040064915055586340990662590341534057669972465
303 : 9413908950425875674532712238062881653114013677150342295021
304 : 1523202464878591573944776782440387231570435521120801226748
305 : 2464593359921179141398048006246675396881836888835835456250 Prime
306 : 3987795824799770715342824788687062628452272409956636682999
307 : 6452389184720949856740872794933738025334109298792472139250 Prime
308 : 1044018500952072057208369758362080065378638170874910882225
309 : 1689257419424167042882457037855453867912049100754158096150
310 : 2733275920376239100090826796217533933290687271629068978375
311 : 4422533339800406142973283834072987801202736372383227074525 Prime
312 : 7155809260176645243064110630290521734493423644012296052900
313 : 1157834259997705138603739446436350953569616001639552312742 Prime
314 : 1873415186015369662910150509465403127018958366040781918032
315 : 3031249446013074801513889955901754080588574367680334230775
316 : 4904664632028444464424040465367157207607532733721116148807
317 : 7935914078041519265937930421268911288196107101401450379582 Prime
318 : 1284057871006996373036197088663606849580363983512256652839
319 : 2077649278811148299629990130790497978399974693652401690797 Prime
320 : 3361707149818144672666187219454104827980338677164658343636
321 : 5439356428629292972296177350244602806380313370817060034433
322 : 8801063578447437644962364569698707634360652047981718378070
323 : 1424042000707673061725854191994331044074096541879877841250 Prime
324 : 2304148358552416826222090648964201807510161746678049679057
325 : 3728190359260089887947944840958532851584258288557927520307 Prime
326 : 6032338717812506714170035489922734659094420035235977199365
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