Fibonacci, tenshikei, meguri

Practising for health purposes is an assumption often made by marketeers for a martial art like aikido, based upon a balance between soft and hard. Movements are created following a spiral pattern. It gives a perception of harmony which is another assumption.
When aikido is promoted as a competitive sport, other factors become also important. Fitness, stamina and muscle power come to the foreground.
Although it is said “sport is healthy”, we cannot deny the many injuries of competitors. These injuries come mostly from abusing the body with the purpose to win a game.
On the other side, self-defense is also built upon using our body as a weapon against an opponent. It takes time to internalize aikido patterns in the brain. Fitness, stamina and muscle power are a solution to work around the long term vision of aikido training. Of course fitness and stamina are necessary in order to carry on the training of aikido.
Harmony during movements is a sign of aikido skills and it takes time to become skillful.

If we look around in nature, harmony can be seen in everything where human kind is not involved. Even the eruption of a volcano has harmony in the movements of the lava.
Is there a secret formula in nature for harmony?

Fibonacci sequence or spiral

The Fibonacci spiral based upon the sequence is already mentioned in another blog post, namely The Switch.
But as your read more about these magic numbers more confusion will come into your mind.

The Fibonacci sequence is one of the most famous formulas in mathematics.
Each number in the sequence is the sum of the two numbers that precede it. So, the sequence goes: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on.
It’s true that the Fibonacci sequence is tightly connected to what’s now known as the golden ratio. Simply put, the ratio of the numbers in the sequence, as the sequence goes to infinity, approaches the golden ratio, which is 1.6180339887498948482… From there, mathematicians can calculate what’s called the golden spiral, or a logarithmic spiral whose growth factor equals the golden ratio.
more Fibonacci

1-1-2-3-5-8-13-21-…..

The Fibonacci sequence and human movement

Can we use mathematics to create a better movement? Some consider that there is a relation between our movements and the Fibonacci sequence.
Unfortunately there has not been much research on this matter.
In the field of dance and performance art Fibonacci sequence is utilized to make an image of harmony for the spectator.

Some research is done in the field of athletic sprint.

And Martial Arts?

In karate tsuki ( straight punch), some practitioners are alluding to the Fibonacci ratio. The fist is turning at the end of the trajectory following the Fibonacci ratio.
And what about Aikido, especially Tomiki’s method.
There is no real research in Tomiki Aikido to explain some movements according to the Fibonacci sequence.
Why should we use of Fibonacci formula?

How to transport “force”

The source of power under the best conditions is the ground, the body with all the elements – skeleton,muscles,tendons,fascia,….) are the tools to transport the force to the target.
Internal constructions are spiral force pathways and can be used to change the direction of the force. As we see above in the runner picture, there is a possibility to add a Fibonacci spiral. The picture at left is from the article “athletic sprint” mentioned earlier.
Eventually we can use kyokotsu to trigger a kind of internal Fibonacci spiral like the runners spiral.

The power at the target

The power at the target can be optimized with the Fibonacci formula. Think about “meguri” or spiral action when applying a technique. Or what about tenshikei or rotational power. Spiral power will be generated most efficiently when our structure is optimized. The Fibonacci spiral is not powered by itself, but is a tool to increase the acceleration during the transport of the force from the ground.

The power at the target can be compared to the power of the waves at the sea

An example how to adjust with a Fibonacce spiral

The picture above at the left gives shows a Fibonacci spiral in “uchi mawashi” movement. The picture at the right is from an old Tomiki book “Goshin Jutsu” and the Fibonacci sequence cannot be seen in this drawing.

Tenshikei and Fibonacci

Using the concept of tenshikei and the Fibonacci sequence will increase the power of acceleration due the longer distance. See further about Tenshikei.
Uchi mawashi will become more efficient together with the appropriate displacement of the feet. See “Tsugi Ashi“.

Tenshikei or the rotational power is generated by rotation of the body internally and is expressed by the movement of the arms or legs.
Using the spiral construction of the body, the length of the transport from the floor to the hand can be compared with the bullet in the barrel of a rifle. The construction of the riffle’s barrel creates a spiral action on the bullet and increases the acceleration of the bullet.

Leg spirals can also make the force at the target more powerful.

Final solution?

There is no final answer for the problems we encounter during martial arts training. Our body is a very complicated construction and many movements facets will influence our way of moving around. Also the mind has an influence on the body movements.

The Fibonacci sequence can be used as a proportion rule in our movements. Sometimes we start with a small circular movement which grows to a big one. In another situation we go from big to small. A perfect movement can happen but we cannot copy because the circumstances are always different.
By keeping to the principles, our body will react with the best solution at the right moment if we don’t interfere with the conscious mind, let the unconscious mind do the job. Nature will do it’s job.

Tenshi-Meguri & 7-hon no kuzushi

KobayashiTilburgIn the 70-ties I had the opportunity to study aikido with Hirokazu Kobayashi. In that time I didn’t understand the concept of meguri* and tenshi (body rotation). Kobayashi stressed on many occasions the spiral movement of the wrist and the dropping of the elbow. Using the koshi was also one of his favorite remarks.
It was Akira Hino’s explanation about “tenshi-kei”, the power of internal rotation, that gave me a better understanding of meguri* and the use of koshi (lower back).

Kobayashi en Eddy*A defensive movement when grasped at the wrist, is the skill of “meguri”, meaning flexibility, rotation of the forearms. The use of the koshi as engine for power release increases the efficiency of defense action.

Meguri and tenshi are the main components in 7-hon no kuzuzhi, the balance disturbing exercises of Tomiki’s Aikido. Without spiral rotations, the balance disturbing will only rely on muscular power of the arm. Only by using “rendo” or synchronizing body movements, the power of meguri and tenshi will create the necessary balance disturbing followed by a throw or control action.

7-hon no kuzushi

kuzushi007The concept of balance disturbing in Tomiki’s Aikido is partly the result of the influence of Kodokan Judo, but also Morhei Ueshiba’s Aikido is prominent present.

Morihei Ueshiba’s Aikido is build around the use of rotational and spiral power.

In the picture, there is the downward rotational movement of the body. By using a meguri pulling action on the sleeve or arm, the rotational movement changes into a downward spiral movement.

Some teachers use an almost linear approach, others use a more circular approach. This of course will affect the perception and will have a negative influence on the performance of lesser skillful practitioners. The external movements has to combined with internal movements, this is only possible through the skill of “rendo”.

The 7-hon no kuzushi is build around :

  • vertical movement
  • horizontal movement
  • central axis rotation

The basic positions are “aigamae” & “gyakugamae” for the vertical and horizontal movements. You will notice, Uke is grasping the wrist with the right hand and keeps the left hand ready for the follow-up action. This can be a strike with the fist or another grasping action.
The central axis rotation start from a rear attack position. Of course the central axis rotation is also present in the vertical and horizontal movements.

When studying 7-hon no kuzushi, we have to understand these movements are simplified and will not work in a randori environment without adaptation to the circumstances.
The movement pattern of these exercises has to be written in the subconscious part of the mind for immediate access when necessary

Vertical movement

jodan kuzushi
Combination Jodan & Gedan Kuzushi

There are 2 vertical modes in 7-hon no kuzushi:

  • upward – jodan-kuzushi is mostly characterized by a hineri movement
    • aigamae
    • gyakugamae
  • downward – gedan kuzushi – mostly characterized by a “gaeshi” movement
    • aigamae
    • gyakugamae

gaeshi

Horizontal movement

hineri

Horizontal kuzushi movements are mostly characterized by a hineri movement
When performing from the right posture, opponent can attack from 2 positions:

  • aigamae
  • gyakugamae

Central axis rotation

The idea here is an application of spinning top power.**

**A spinning top is a toy designed to spin rapidly on the ground, the motion of which causes it to remain precisely balanced on its tip due to its rotational inertia.

Meguri and tenshi in 7-hon no kuzushi

A “kuzushi” movement is succesful when we consider the following:

  • target: the wrist attacked by the opponent
  • the hand of the grasped wrist to indicate the direction
  • the elbow: the transfer joint for the full-body power by using meguri and tenshi

The target

Opponent can grasp the wrist according 2 modes:

  • omote dori – outside wrist
    • go-no-sen
    • sen-no-sen
  • ura dori – inside wrist
    • go-no-sen
    • sen-no-sen

Each mode has an influence on the hand movement of the grasped wrist. In the go-no-sen mode, opponent has the initiative of the grasping. Defender has the initiative in the sen-no-sen mode.

There are 2 grasping methods:

  • junte dori – regular grip
  • gyakute dori – reverse grip

In 7-hon no kuzushi only the junte dori is covered. Gyakute dori or reverse grip is used in kote gaeshi, kote mawashi ……..

How to grasp a wrist?

Grasping a wrist is “almost identical” as grasping the hilt of a sword.
Most of the holding power is in the thumb and middle finger. Little finger, ringfinger and index finger are envelopping the wrist. Grasping is not a static action. The dynamics of grasping is the result of “meguri” and “tenshi”.

holding the swordholding wrist

The hand of the grasped wrist

As already mentioned, Tori can act in a go-no-sen or sen-no-sen mode.

The hand in most of the cases can move freely. There are 2 basic modes:

  • upward
  • downward

By using the turning point in the hand, the tendon of in the forearm will stretch. If the point of turning is close to the wrist, the stretching will not happen. By stretching the tendon(s) it is easier to use the elbow in the desired direction.

aiki age sage009

Meguri and the use of elbow

Meguri is based upon the flexibility and rotation of the forearm.
The flexibility and rotation of the forearm and elbow is depending on the connection with the kyokotsu, a point at the breastbone. When pulling in the arm by using the biceps muscle, the shoulder will be locked and the power from the central body cannot travel through the elbow to the hand.
In his book “Goshi Jutsu Nyumon”, Kenji Tomiki used a picture to explain hand and elbow movement around a fulcrum, the grasping point by opponent. The picture is only showing the principle of leverage and does not include meguri action.
It is not always possible to move efficiently just by using simple leverage as seen in Tomiki’s fulcrum picture. The elbow movement is only possible if the shoulder is free of tension.

point of rotation

Tenshi around skeletonRotation of the forearm when grasped at the wrist is possible by using the skill of “tenshi” or internal rotation. Tenshi-kei is the power of tenshi and can be used to make waza efficiency higher.

We can use body rotation and internal rotation at the same time to increase waza efficiency. An example can be the rear wrists grasping where we use an external body rotation and tenshi or internal rotation.

Basic 7-hon no kuzushi

7-hon no kuzushi is an exercise to study body movements which can be used in all forms of balance disturbing. The belief that 7-hon no kuzushi is the method for balance disturbance is a delusion. It is an exercise to learn how to use the body with external and internal movements.

There are many versions of 7-hon no kuzushi. The early versions are created when Kenji Tomiki was still teaching. During the creation of Koryu no kata, the study of 7-hon no kuzushi became a part of the training and was incorporated into Koryu no kata daiyon.

History of Koryu no kata

Takeshi Inoue the autor of a book on Koryu no kata, who knows in detail the background of the creation of the Koryu no kata wrote:

In about 1958, we practiced mainly the unsoku, tandoku undo, yonhon no kuzushi (a former version of the nanahon no kuzushi/7-hon no kuzushi) as well as the jugohon no kata (basic15 kata). In around 1960, the junanahon no kata ( basic17 kata) and the roppon no kuzushi/6-hon no kuzushi were created and then the dai-san no kata was devised as a kata of classical techniques. During the mid-60 Ohba Sensei and others worked on the creation of the kata forms of the dai-ichi (first) to dai-roku (sixth), which we practice as the koryu no kata, in order to work on techniques for demonstrations and for purposes other than randori. What Ohba Sensei particularly stressed in formulating these kata was the organization of different techniques in such a way that students could learn connections between techniques easily and naturally. After he had organized the techniques to some extent, Ohba Sensei reported to Tomiki Sensei and demonstrated what he had done for him. He received some advice from Tomiki Sensei and then added corrections to the kata. (“Bujin Hideo Ohba,” Kyogi Aikido Soseiki no Ayumi; Ohba Hideo Sensei o Shinobu, p. 67)

Some examples from an old Waseda movie 1975

7-hon no kuzushi by Takaeshi Inoue 

The illustrations: Tomiki Aikido-Book 1-1978 by dr Lee ah Loi
Tori: Takeshi Inoue

Jodan – aigamae

jodan aigamae

Jodan – gyakugamae

judan gyakugamae

Chudan aigamae

chudan aigamae

Chudan gyakugamae

chudan gyakugamae

Gedan aigamae

gedan aigamae

Gedan gyakugamae

gedan gyakugamae

Ushiro

ushiro kuzushi

7-hon no kuzushi application examples

Some applications we can find in “Koryu no kata dai yon”.
Examples are:
Jodan kuzushi aigamae nage waza

jodan omote 1b

 

Jodan kuzushi gyakugamae nage waza

jodan omote 2b.jpg

 

 

From “Koryu no kata dai roku”
Jodan & gedan kuzushi

Schermafbeelding 2019-04-12 om 17.06.09

More randori oriented example:
Hiki otoshi

hiki otoshi 001 kopie