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- . FREE E-BOOK: The First 32 Harmonics: CONTACT INFO: David Cochrane Cosmic Patterns Software, Inc. Email: DavidC@Astrosoftware.com 6212 NW 43rd St. Suite B Website: www.AstroSoftware.com Gainesville, FL 32653 USA Avalon Website: www.AvalonAstrology.com.
- Quadnovile aspects, also known as 9th harmonic aspects. These additional aspects are known as minor aspects or harmonic aspects. There are many other aspects used in harmonic astrology, but these aspects are among the most important and powerful, and hence this report describes some of the most important Harmonic Highlights in your astrology chart.
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his has to be one of the greatest advances in astrological analysis of the last hundred years. What are 'harmonics?' Just a mathematical rearrangement of the horoscope so that we can see particular features more clearly. It's something like taking a cross-section of a sample in biology and putting it under a microscope. How is it done?By computer, of course. Please, PLEASE do not try to do the calculations by hand. If you do, you might see numbers in front of your face for a week. You would first have to assign numbers to all of the degrees of the zodiac, starting with the first degree of Aries as number one and ending with the last degree of Pisces as number 360. Then, you will have to give each planet a number, depending on the degree it happens to be in. It gets more complicated. You have to put in the minutes and seconds of arc as well.
Then you choose the harmonic that you want to examine. What next? Multiply ALL of those planetary position numbers by the number of the harmonic. Good luck! Oh, were not finished yet. Most of the numbers you will get are going to be over 360, but there are only 360 degrees in a circle. You will have to subtract 360 again and again until you get a number that is less than 360. |
Some VERY IMPORTANT words of caution:
1) DON'T EVER try to do aspects between harmonics of different numbers. They are totally different animals.
2) There are no signs or houses in harmonic charts. Remember that everything has been rearranged, so please don't do sign or house interpretations because they are no longer there. The purpose of harmonics is to get more information about aspects and aspect patterns.
Now, let's take a look at some actual harmonics and how they can add depth to horoscope interpretation.
The Fourth Harmonic: The 4th harmonic shows how we deal with stress, strain, and struggle. When you construct a 4th harmonic chart, all of the conjunction, square, and opposition aspects in the original horoscope appear as conjunctions and this makes them easier to see. Of course, these aspects are pretty easy to see in the original horoscope as well, so what's the point? The point is that the minor aspects, the semi-square (45 degrees) and sequa-square (135 degrees), which are difficult to spot by a quick visual inspection, now appear as oppositions, and can be seen at a glance. Not only that, but other minor stress aspects (22 ½ degrees, 67 ½ degrees, 157 ½ degrees), which can take a very long time to locate, now become squares. In the 4th harmonic, whole patterns of stress aspects can be spotted, and this gives you a big edge for interpretation.
The horoscope of Francisco Assis, the Brazilian serial killer who killed at least nine women, doesn't seem, at first, to be excessively violent. But when you look at Francisco's 4th Harmonic Chart, you see another story. The Sun is opposite Venus, which can give feelings of being unloved. Yes, but lots of people have that and they don't become serial killers. What they don't have is Uranus making square aspects in the 4th harmonic to both the Sun and Venus. Uranus can make one prone to sudden, hysterical outbursts. Still, everyone born that day had the same thing. What else is there here to drive him over the edge? The Ascendant also makes stress aspects. It opposes Uranus and squares both the Sun and Venus. This makes a Grand Cross, a rare and highly stressful pattern. The Ascendant is very sensitive to changes in the time of birth. In the 4th harmonic chart, this Grand Cross could only have formed in a time interval of about 20 minutes!
But there's more to come. Mercury (the mind) Mars (violence) and Saturn (depression) make a T-Cross formation (another stressful configuration) in the 4th harmonic as well. Once again though, everyone born that day had the same thing. Why is this case different? Take another look at the birth chart. There is a close semi-square between Mars and the cusp (beginning) of the 8th house (death).
What happens though, if you have harmonious aspects (sextiles and trines) in a 4th harmonic chart? The best example of that comes from Hamblin's 'Harmonic Charts.' It is the horoscope of a little known French Marshal from World War I, Franchet d'Esperey. Hamblin claims that sextiles and trines in a 4th harmonic chart show 'effort towards pleasure, or pleasure in effort.' In other words, someone who likes stress, strain, and struggle. Hamblin quotes Gauquelin's description of him:
'...he drove cars at maniacal speed and shot windows when there was nothing better to shoot.' |
In d'Esperey's 4th Harmonic Chart, there is a Grand Trine between the Sun, Mars, and Pluto, a perfect aspect pattern for a soldier. A Moon/Venus conjunction sextiles the Sun and Pluto and opposes Mars, making for a Kite formation. Here is someone who had an emotional need (the Moon) for action and violence (Moon/Mars) and got a lot of pleasure from it (Moon/Venus).
Muhammad Ali's 4th Harmonic Chart also has a lot of harmonious aspects, especially to the Mid-Heaven. The Sun makes a sextile and the Moon a conjunction, and both aspects are within one degree of being exact. This means that stress, strain, and struggle are more likely to bring him before the public. The Mid-Heaven also has a trine from Jupiter and a sextile from Uranus. In Ali's Birth Chart, Jupiter rules the 5th house (sports and games) and Uranus rules his 7th house (open enemies), a perfect setup for someone to become famous through competitive sports.
Robert Blake, the actor arrested for his wife's murder, has a 4th Harmonic Chart with a highly stressful T-Cross formation. There is a conjunction of the Moon (feelings, emotions) and Neptune (imagination, film), which helped him in his film career, but it is opposite Pluto (extremes) and all three of these planets make a square to Jupiter (expansion and over optimism). There is hostility towards women here, and when his emotions go, they can really go (Moon, Jupiter, Pluto T-Cross), especially if he happens to be under the influence of alcohol or other intoxicants (Neptune).
The Fifth Harmonic: The 5th harmonic chart indicates talent, if any. In the 5th harmonic chart, all of the quintiles and bi-quintiles come together as conjunctions, making them very easy to spot. The semi-quintiles and sesqua-quintiles become oppositions. Quintiles are one fifth of a circle (72 degrees) and they give talent and power, and show our ability to put things together (pattern recognition). It also has to do with creative play, the joy of making up games of finding patterns (like looking for 'patterns' of cracks in the ceiling, or always stepping on cracks in the sidewalk, or always avoiding the cracks). People with strong 5th harmonics do things like that all the time. Of course, taken to the extreme, this is a mental disorder, but those with a strong 5th harmonic usually manage to keep it under control, and then it becomes the basis for creative talent. You don't need a strong 5th harmonic to succeed as an artist, designer, scientist, or engineer, but it really helps.
Let's start with a negative example, a very negative example: Adolph Hitler's 5th Harmonic. Mercury, planet of communications, is opposite the Moon, Neptune, Saturn, and Jupiter. This gives a talent for communicating and power to his words. Chiron makes a conjunction to Mercury, as well as oppositions to the Moon, Neptune, and Saturn. Remember that Chiron is a 'bridge' between the inner planets (which rule 'normal,' everyday functions) and the outer planets, which rule forces that are out of the ordinary. Chiron also has to do with a feeling of being wounded. Hitler was able to deal with his psychological problems (Mercury rules the 12th house in his birth chart) by communications. Now everyone born that day had similar configurations in their charts. Why was Hitler different? Well for one thing, the Moon was part of the configuration, and the Moon was in place for only a few hours. But his Mid-Heaven closely aspects his Moon, Neptune, and Chiron, and also his Sun providing a link between that powerful communication configuration and his personality. The Mid-Heaven is, of course, the career and the public image, showing that Hitler's whole personality was involved when he communicated in public. The fact that the German public also felt 'wounded' after the defeat in World War I tied right in with Hitler's Mercury/Chiron quintile. Unfortunately, he dealt with these wounds by making more wounds.
A more positive example of a strong 5th harmonic chart is Mozart. In his birth chart, Venus (art) is powerful because it is his only planet in a Cadent House. This means that it is a singleton by house, and can draw all of the horoscope's energy to the 6th house (work). But the only apparent aspect seems to be a trine to Mars, and while this does add activity, it seems to leave poor Venus without connection to the rest of his life. Let's take a look at his 5th Harmonic Chart. Venus now has conjunctions with Pluto (extremes, obsession, intensity) and the Moon (which rules both one's own emotions and the ability to appeal to the public). In fact, there are eight conjunctions in his 5th harmonic, and each one represents a quintile or a bi-quintile in his birth chart. Talent on top of talent. The Sun and Mercury in that 5th harmonic chart make trines to the Mid-Heaven, making it easier for that talent to come before the public. Most of Mozart's first drafts were the same as his final drafts. He would hear the music in his head and write it down with few, if any revisions.
The Seventh Harmonic:
According to Hamblin in his book, 'Harmonic Charts,' the seventh harmonic has to do with
'…man's highest flights of creative imagination, and his lowest depths of destructive illusion. It is a number not of permanence, but of transience; not of unchanging truth, but of sudden flashes of light and darkness; not of objective reality, but of subjective impressions and the emotional experience which man derives from those impressions; not of knowledge, but of fantasy. It is, in short, a romantic number.'(Pg. 65).
In other words, the 7th harmonic has to do with inspiration, with what inspires us and how we can inspire others. This is an important ingredient of creativity.
In the 7th harmonic, the septiles, biseptiles, and tri-septiles appear as conjunctions. A septile is one-seventh of a circle, or 51.42857 degrees. Try finding that aspect by visual inspection of a birth chart!
Woody Allen's 7th Harmonic has Venus (artistic ability) opposite Chiron (our 'wounds' and recurring problems). Since Venus is also our ability to experience happiness, a Venus/Chiron stress aspect can show problems with enjoyment. But Chiron is also a teacher. Woody has taken his neuroses and turned them into entertainment. Of course, there is more than just those two involved. For real creative ability, you need to have several planets linked in an overall complex of aspects. That Venus/Chiron combination has aspects to Jupiter (ability to see the big picture) and Pluto (depth, psychological insight). Jupiter has a conjunction to Pallas (pattern recognition ability). On top of that, Uranus (ability to see things in strange and startling ways) aspects Venus, Pluto, and the Moon. That's six planets making up one pattern. The real key, though, is the Mid-Heaven. Why? Because without that, no one would ever see his creativity. The Mid-Heaven is the career, and, even more importantly, the public image. Aspect patterns involving planets sometimes last for more than a day. Everyone born that day has them. Aspects involving the Ascendant and Mid-Heaven, however, will show up in the harmonic charts for about 20 minutes, and this can make all the difference.
Tennessee William's 7th Harmonic also has a series of aspects linked together in one complex pattern. Mars, Jupiter, Saturn, and Pluto form a Grand Trine in his 7th harmonic. Mars give the energy and desire to do things, Jupiter gives optimism that they can be done, Saturn gives the discipline and determination to do them, and Pluto adds the desire to see hidden secrets. His birth chart does have a Scorpio Mid-Heaven, and his plays are famous for characters that are tragically flawed. Jupiter in conjunction with the Mid-Heaven, however, does add a note of optimism, and many times the plays end with some sort of rebirth (Pluto again) of the main protagonist.
The Mid-Heaven is also connected to that Grand Trine, since it has a conjunction to Jupiter and a trine to Saturn. Jupiter is the storyteller, but Saturn gives the discipline to work and produce Tennessee William's 7th HarmonicMid-Heaven also makes a sextile to Mercury (writing) and a trine to Neptune (imagination) making it easier for his inspiration and imagination to be communicated to the public.
Andrew Lloyd Webber also has a strongly aspected Mid-Heaven in his 7th Harmonic Chart. There is a sextile to the Moon, and that doesn't hurt if you want your inspiration to be noticed in public. But his 7th harmonic Mid-Heaven also has an opposition to Mercury (communication) and a square to Neptune (imagination). While this does mean that his imaginative communications can come before the public, the stressful nature of the aspects does indicate that this will be a struggle for him. Saturn aspects the 7th harmonic Mid-Heaven as well, giving the determination and discipline to pound his inspiration into a completed and polished work.
The Ninth Harmonic:According to Hamblin, the 9th harmonic chart shows '…a person's capacity for joy and happiness,' and it also '…shows the person's capacity to spread joy and happiness to those around (them).' While the 4th harmonic shows how we can deal with stress, strain, and struggle, the 9th harmonic, by contrast, shows how we can be at peace.
But that means it can also show blockages to being at peace. The 9th Harmonic of David Berkowitz, the infamous 'Son of Sam' serial killer, has a Grand Cross formation involving Pluto (death) opposing a conjunction of 4 planets: Mercury (the mind, and, in this case, his Sun-sign ruler), Saturn (depression), Neptune (dreams and illusions), and Mars (action, aggression, violence). The Sun makes square aspects with all of them. The aspects to Mars are wide, but we can use a wider orb here because Mars is part of an over-all pattern.
This pattern would occur in the 9th harmonic charts of everyone born that day. What sets David Berkowitz 9th Harmonic chart apart is the presence of the Ascendant in this pattern, and it completes the Grand Cross formation (which can be highly stressful). In David Berkowitz's Natal Chart, Venus is the ruler of both the 8th house (death) and the 12th house (psychological problems), and in his 9th harmonic chart, Venus and Uranus (sudden change) both oppose the Mid-Heaven (the public image) bringing his 'work' before the public. Again, we have to remember that the Ascendant and Mid-Heaven were only part of these configurations for a few minutes for the time and place of his birth.
Mozart's Ninth Harmonic Chart has a T-Cross formation involving the Sun, the Moon, Mercury, Jupiter, Pluto, and the Mid-Heaven. Since the Mid-Heaven is involved, appearing before the public is part of what made him happy. But it could also mean that when he does whatever made him happy, it would help him come before the public. What do those stressful aspects tell us? They show either that it was a struggle for Mozart to experience joy, or that it was the struggle itself that made him happy.
Michelle Pfeiffer's Ninth Harmonic Chart has a Kite formation, and once again the Mid-Heaven is involved. The Sun and Mars make a Grand Trine with Saturn showing happiness with action, but only if it is disciplined and focused action. A triple conjunction of the Moon, Jupiter, and the Mid-Heaven is opposite Saturn and sextiles both the Sun and Mars, and this completes the Kite. With the Mid-Heaven involved, success in career is difficult to avoid. But Saturn is opposite Jupiter and the Mid-Heaven. Jupiter expands. Saturn contracts. Jupiter is optimism. Saturn is pessimism. Jupiter is up. Saturn is down. Jupiter gives her the luck and optimism to succeed. Saturn gives the ambition and discipline. But she will tend to be of two minds about her success, sometimes loving and sometimes hating it. Periodically, she has to get away from it all (Saturn), but then she gets bored (Jupiter) and has to get back into action.
The Eleventh Harmonic:This one shows pure imagination, fantasy. Sometimes this stays inside in our own private little world. Every now and then, we let it out. The results vary. We can get a beautiful dream made real, or a nightmare of horror.
Ian Stuart Brady's 11th Harmonic is an example of the nightmare come to life. Brady, the 'Monster of the Moors,' and his girlfriend, Myra Hyndley, were a serial killer team. In Brady's 11th Harmonic chart, the Moon (emotions) is opposite Mercury (the mind) and Mars (anger) showing an imagination that tended to violence. That configuration was in effect for a few hours on the day Brady was born. As always, it is the placement of the Ascendant and the Mid-Heaven that make the difference. Aspects involving those two only last for about five minutes in an 11th harmonic chart. Brady's 11th Harmonic Mid-Heaven makes a T-Cross formation with Saturn (depression) and Neptune (imagination). The depression can sometimes be displaced into fantasies of controlling and harming others, which is what happened here. The stress aspects to the Mid-Heaven showed that these fantasies would one day come before the public. The 11th harmonic Ascendant makes a square to Pluto (death) that is only one minute of arc from exact. This is the key aspect here, the one that pushed his fantasies to become obsessions, and the obsessions to into reality.
George Gershwin's 11 Harmonic shows the positive side, the beautiful dream come to life. Venus (art) and Jupiter (optimism, 'luck,' expansion) are opposite the 11th harmonic Ascendant, while the Moon opposite the 11th harmonic Mid-Heaven makes it easier for his dreams to come before the public. Uranus (innovation) makes trine aspects to Venus and Jupiter, making it easier for Gershwin to innovate. The strong 11th harmonic adds to the creativity of Gershwin's Birth Chart, which has Neptune (imagination) making a square aspect and Venus (art) making a sextile to the Mid-Heaven.
Dr. Martin Luther King, Jr. has Sagittarius (sign of the archer) on the cusp (beginning) of his 8th house (death). Jupiter, the ruler, is in his 12th house (hidden enemies). He was shot by a sniper who was concealed at a distance. Dr. King was most famous for his 'I have a Dream' speech, so it is only natural to check Dr. King's 11th Harmonic. To see if his dream came before the public, we have to look at the Mid-Heaven. Remember that aspects to the Mid-Heaven are in effect for only a few minutes, so the chances are very small that other people would have them unless they happened to be born at the same place and time. Jupiter and Pluto make sextiles, Saturn and Uranus make conjunctions, and Neptune makes an opposition to his Mid-Heaven. That's five planets, or half of all the planets in the chart! Do you notice something else? They are all Outer Planets, the ones that rule the large-scale events in our lives.
There is more here, much more. Saturn and Neptune are in opposition and both aspect the Mid-Heaven. But didn't Ian Brady have something similar in his 11th harmonic? Yes, however we must remember that there is always a positive and a negative way for things to work out. Similar aspect patterns are common to the horoscopes of murderers and murder victims, an ironic fact that was first noted by Darling and Oliver in their book Astro Psychiatry (CSA Press, 1972).
With Ian Brady, his imagination added to his murderous urges. In the case of Dr. King, it was a setup for martyrdom. Uranus is there as well, making a conjunction to Saturn and an opposition to Neptune. Uranus is the planet of sudden, shocking events. Of course, this makes us think of his assassination, but his whole life was a struggle and involved demonstrations which (at the time) were considered shocking. The trine between Jupiter (ruler of the house of death in his birth chart) and Pluto (the 'natural' ruler of death) is also significant, very significant.
They both aspect his 11th harmonic Mid-Heaven, but, on top of that, the Mid-Heaven sits on their Midpoint! Yes, the connection with his death seems obvious here, but so is the connection with his life. The 8th house rules more than death. It also shows the values of the groups to which we belong, all the groups, including the society that we live in. The effect the group values have on us is an 8th house matter, but so is the impact we can have on the values of the group. With his 11th harmonic Mid-Heaven on the midpoint of Jupiter and Pluto, King's dream had an immense impact on an entire nation, during his life and even in death.
The Thirteenth Harmonic: The 13th harmonic seems to have a similar effect to the sign of Scorpio. They both relate to death and rebirth, transformation, as well as group resources and values.
The birth chart of Dr. Jonas Salk, inventor of the first effective anti-polio vaccine, does not (at first glance) seem too special. The Sun rules them Mid-Heaven (career) and sits in the 12th house in Scorpio. That's a good placement for doing research behind the scenes, and the Leo Mid-Heaven can give the chance of eventual fame. Pluto, the ruler of the Sun-sign, has a conjunction with Saturn (ambition, discipline) and they both make out-of-sign sextile aspects with the Mid-Heaven, as well as square aspects (challenges) to his Sun. But when we look at Jonas Salk's 13th Harmonic Chart, the picture becomes far more clear. Jupiter, Mars, Pluto, and Saturn all make conjunction aspects to his Mid-Heaven, while the Moon and the North Lunar Node make square aspects, and the Sun makes a quincunx (the 150 degree aspect). Six out of ten planets aspect his Mid-Heaven (career and public image) and that configuration only held for a few minutes on that day and location. Salk's vaccine ended a yearly epidemic of polio and (long after Salk's death) is still saving thousands of lives a year.
Harmonic charts can provide greater depth to most horoscope interpretations. Just be sure to remember that they are used for aspect patterns only, and not for sign or house interpretation. You can use them for chart comparison as well, but please don't compare harmonics of different numbers (that's like comparing apples and oranges).
A sub-horoscope which can help to reveal horoscope aspects which otherwise often remain hidden. This method has its roots in Indian astrology (so-called Vargas) and was taken up in the middle of the twentieth century by John Addey.
Conjunctions in the
- 2nd harmonic show oppositions in the radix chart. The
- 3rd harmonic shows trines in the radix chart, the
- 4th shows squares and oppositions, the
- 5th shows quintiles (360/ 5), the
- 6th sextiles, trines, oppositions (as 6 = 2 x 3). The
- 7th septiles (360/ 7), the
- 8th semi-Squares and sesquisquares, squares, oppositions (as 8 = 2 x 2 x 2, or 4 x 2), and so on
Calculation
In order to create a harmonic horoscope the 360 degree circle is divided by the number of the particular harmonic. It is theoretically possible to do this with any number, but in practice the most common harmonics astrologers work with are the 4th, 5th, 7th, 8th and 9th.
In the following, the number 5 (i.e. the 5th harmonic) is used to illustrate the principle: The 360 degree circle is divided into 5 segments. The resulting aspect is the quintile (72 degrees); the fifth harmonic is concerned with the quintile and bi-quintile. Each of the 5 segments contains the whole zodiac, always starting at 0 degrees of Aries. These five segments are then laid on top of each other so that the planets which form quintiles or bi-quintiles to each other in the original chart come together. What remains is a 72 degree segment which is then expanded out again to form a whole circle. That is the 5th harmonic horoscope. All the planets that formed quintile or biquintile aspects in the natal chart now come together to form conjunctions. Any resulting oppositions were semi-quintiles (36 degrees) in the natal chart and a trine in the harmonic chart was a 3rd of a quintile (24 degrees) in the natal chart.
The following procedure is used to calculate the positions of the planets, Ascendant and Medium Coeli in the harmonic chart: The absolute number of degrees of each horoscope factor is multiplied by the harmonic number - in this case 5. (The absolute number of degrees is always measured from 0 degrees of Aries; for example, the absolute number of degrees for 23 degrees of Gemini is 83 degrees). If the result is a number larger than 360, then 360 is subtracted as many times as is necessary from this number until a number below 360 is reached. This number gives the position of the horoscope factor in question.
Interpretation
As might be expected, number symbolism is an important factor when it comes to interpretation: The number of the harmonic and the aspect resulting from the division of the circle - in the above example the quintile - indicate the quality of the theme in question.
The most significant planets in the harmonic horoscope are those that form a conjunction because they resonate most closely with the harmonic number. The next factors to consider are those planets that form other major aspects because they also share a common wavelength.
The harmonic is kind of lens through which you can read something about the person. For example, the septile supposedly indicates inspiration plus discipline, and is common in charts of members of the clergy and composers. It seems to be a more spiritual aspect. So if you want to know about someone's spirituality or creative inspiration, run the 7th harmonic chart. Hard aspects will show what is challenging or difficult in this domain for the person, and the trines will show what flows easily for them.
Christoph Schubert-Weller comments that: 'A strong 4th harmonic indicates above all the challenge of self-integration but also the strive for concrete success. A strong 5th harmonic is above all linked to an active, constructive and formative approach to the world of form. The 7th harmonic emphasises the artist, the creative person. But the 7th harmonic is also more strongly associated with criminal behaviour. A strong 9th harmonic indicates idealistic, religious and at times paranormal capabilities. The 9th harmonic is associated with wisdom and composure.
See also
Weblinks
- What a Harmonic Chart is and How to Interpret it (David Cochrane, youTube-demonstration 2015)
- Harmonics (Astrodienst)
- Calculating harmonics (Astrodienst; select type of chart: 'harmonic chart')
- Alice Portmann: Age Harmonics (several articles)
- Harmonics: which and why (50megs.com, 2003)
- The Harmonic Astrology Project (Michael Jordan, 2001)
- Axial Harmonics - A brief development history (Carl & Rodney Smith, 1999-2000)
Bibliography
John Addey Harmonics In Astrology Pdf
- John Addey: Harmonics in Astrology: An Introductory Textbook to the New Understanding of an Old Science 272 pages. L.N.Fowler 1st edition 1976; Eyebright Books 4th edition 2009 ISBN 1904258026 ISBN 978-1904258025
Harmonics In Astrology Pdf File
- The most comprehensive work on this subject, with detailed instructions regarding the calculation, interpretation and application of harmonics
- Michael Harding and Charles Harvey, Working with Astrology: The Psychology of Midpoints, Harmonics and Astrocartography. Arkana 1990/ Consider (Revised edition) 1998, 472 pages. ISBN-10: 1873948034 ISBN-13: 978-1873948033
Harmonics In Astrology Pdf Download
- An introduction to harmonics which is easy to read, with lots of practical examples
Harmonics In Astrology Pdf Free
- David Hamblin, Harmonic Charts, Aquarian Press
- David Cochrane: The First 32 Harmonics. A Qualitative Research Study 102 Pages, 2012. Cosmic Patterns Software, Inc.