Gaining
a Newfound Appreciation
for the Mathematics of Healing Music
October
2015 | New York City, NY
The
stately chords and melody of Johann Pachelbel's "Canon in D"
are familiar to millions of listeners but it is not the
piece’s notoriety that earned it a star role in
Dr.
Joseph Michael Levry’s highly acclaimed Ra Ma Da Sa (Adagio)
recording. Merging his extensive background in engineering
with metaphysics, Dr. Levry appreciated the mathematical
perfection Pachelbel infused into the composition, as did
Alissa Crans, associate professor of mathematics at Loyola
Marymount University. Indeed, Divine Spiritual Wisdom is the
mathematics of spirituality and the deeper one studies the
universal laws the more one cannot help but marvel at the
inherent poetry of numbers. Crans was able to translate
Pachelbel’s famous melody into a mathematical equation,
which she then expressed as a geometric pattern, revealing
that the form possessed dihedral symmetry.
(https://www.maa.org/sites/default/files/pdf/upload_library/22/Hasse/Crans2011.pdf) An abundance of
dihedral groups can be found in nature, from the shape of a
snowflake, to the body of a starfish and even to the
conformation of DNA molecules during protein synthesis. For
her discovery, she won the National Merten M. Hasse Prize at
the Mathematical Association of America meeting in 2011.
This explains why Pachelbel’s Canon, although a simple
melody to our naked ear, is actually deeply complex, its
polyphonic and a homophonic texture leaving us clues to its
grander origin. The melody produces a feeling of peace and
harmony that can only be described as a “coming home,” a
home many of us may have since lost touch with on our
evolutionary journey. Like twins growing up in two different
families we cannot help but love the warm embrace of
Pachelbel’s Canon each time we experience our harmonious
reunion. Indeed, according to a 2001 study conducted at the
Monash University in Australia, the simple act of listening
to Pachelbel’s Canon completely prevented increases in
anxiety, blood pressure, and heart rate in the midst of
being exposed to cognitive stressors, compared to subjects
that did not have the protection of the “mighty Canon.”
(http://www.ncbi.nlm.nih.gov/pubmed/11796077) Among other
prominent research is a study that showed patients' heart
rhythm became more organized and improved after listening to
this melody.
By now you have probably paused reading this article to find
and play a copy of your own Pachelbel’s Canon. It appears
that the benefits of this classical piece are endless, and
when it comes to Dr. Levry’s music there are no
coincidences. By seamlessly layering the ancient healing
mantra Ra Ma Da Sa over this already very soothing melody,
the result is a revolutionary piece of music that is
unmatched in its ability to restore our health. What makes
this recording so potent is that instead of using the
original walking bass harmonic progression used by Pachelbel,
Dr. Levry uses alternating “root” chords with chords in
which the 3rd of the chord is in the bass making it a first
position chord. The interval between the harmonies of the
mantra and the baseline chords creates the famous Golden
Ratio or Fibonacci number (0.618), also found in Leonardo Da
Vinci's Vitruvian Man. The Golden Ratio, also known as the
Divine Proportion, can be found everywhere throughout our
human body. For instance, measure the distance from the tip
of your head to the floor, then divide that by the distance
from your belly button to the floor, and the number you will
come up with is PHI. The number PHI can be derived from the
Fibonacci sequence. Pythagoras venerated this symbol and the
golden ratio. Ancient mystics along with scientists
proclaimed PHI or 0.618 as the Divine Proportion. This
marvelous piece of music applies this beautiful and Divine
number for healing.
The underlying basic structure of Dr. Levry's Ra Ma Da Sa is
the descent(with theon its way to). The same two-bar bass
line and harmonic sequence is repeated over and over, for a
total of 28 times. From the standpoint of the science of
numbers, it is a continuous ascension and descension from
Earth to Heaven and Heaven to Earth. According to Divine
Spiritual Wisdom, this mathematical pattern outlines the
metaphysical law of healing, first recorded on Hermes
Trismegistus’ Emerald Tablet, the earliest written
historical record of the metaphysical principle of
transmutation. It reads, "Ascend with great sagacity from
Earth to heaven, and then again descend to Earth, and unite
together the powers of things superior and inferior." The
Emerald Tablet (Tabula Smaragdina), was highly regarded by
European alchemists as the foundation of their art and its
Hermetic tradition because it contained the secret of
transmutation. When applied to healing this process, simply
stated, is the changing of a sick body into a healthy one.
The same eight chord progressions are used in a sequence
throughout the Ra Ma Da Sa and Pachelbel’s Canon
composition, which is arranged as: D major (tonic), A major
(dominant), B minor (submediant), F# minor (mediant), G
major (subdominant), D major (tonic), G major (subdominant),
and A major (dominant). According to the law of
correspondence, each note has a correlation to a part of the
human anatomy. What is fascinating to note here is that the
first note, D major, activates the mind and nervous system
and the last note, A major, stimulates cell and tissue
repair. It would seem that
Dr. Levry’s Ra Ma Da Sa seeks to
reeducate the body, activating its innate healing process by
continuously presenting it with the blueprint to health
encoded in a simple, beautiful melody. In light of these new
findings it is easy to gain a newfound appreciation for this
deeply healing musical composition.
The power of prayer and meditation in their application for
healing has a long history of being proven effective not
only by countless personal accounts but by medical research
studies conducted around the world. A study conducted at the
San Francisco General Hospital, for example, looked at the
effect of prayer on 393 cardiac patients. Half were prayed
for by strangers who had only the patients’ names. Those
patients had fewer complications, fewer cases of pneumonia,
and needed less drug treatment. They also healed quicker and
left the hospital earlier.
(https://www.ncbi.nlm.nih.gov/pubmed/3393937)
In our 21st century understanding of energy and intention it
is important to note here that the healing benefits of
prayer and meditation are not limited by distance. A prime
example is Dr. Robert Mirshak’s experience with the Ra Ma Da
Sa recording. Dr. Mirshak was visiting his father, who was
lying in the hospital at that time with a severe heart
problem, unsure whether or not he would live. That evening,
his wife called to tell him that a group of people was going
to do a meditation to send healing energy to his father with
the help of the Ra Ma Da Sa melody.
Dr. Mirshak was touched by such news. Holding a Doctorate of
Musical Arts in Vocal Performance, he had a scholarly
appreciation for the healing melody and, although skeptical,
welcomed such a kind gesture: “Unbeknownst to my father, at
the exact time the chanting was happening, my father said he
saw Angels, sat up in his hospital bed and talked about how
beautiful the light was at that time. He didn’t believe that
this experience could be possible and honestly, neither did
I. Two days later, my father was released from the hospital
with the doctors and our family completely perplexed by his
sudden recovery. The doctors didn’t know how he could have
recovered so quickly. My father’s heart has been strong and
healthy ever since. This event has changed both my father’s
life and mine forever. Ever since then he has been a
different person.”
References
Crans AS, 'Musical Actions of Dihedral Groups,' The
American Mathematical Monthly, vol. 116, no. 6, June 2009,
pp. 479-495.
https://www.maa.org/sites/default/files/pdf/upload_library/22/Hasse/Crans2011.pdf
Knight WE, Rickard PhD NS, 'Relaxing music prevents
stress-induced increases in subjective anxiety, systolic
blood pressure, and heart rate in healthy males and
females,' J Music Ther. 2001 Winter;38(4):254-72.
http://www.ncbi.nlm.nih.gov/pubmed/11796077
Byrd RC, 'Positive therapeutic effects of intercessory
prayer in a coronary care unit population,' South Med J.
1988 Jul;81(7):826-9.
https://www.ncbi.nlm.nih.gov/pubmed/3393937
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