While the nuclear bomb was being developed in the United States during the Second World War, there were a few scientists who theorized that once you started the nuclear chain reaction that caused the bomb to explode, that there would be no way to stop it, that it would destroy all the matter in the universe.
It, of course, says something about man’s destructive nature that, in light of this theory, he would still test such a device, but that’s not what I want talk about here. The point I want to make is that what the scientists who formulated this theory didn’t understand was the law of seven (also called the law of octaves). They didn’t understand that nothing continues forever.
The law of seven can be observed everywhere in the natural world and in everything we do internally and externally. If we understood the law of octaves, we could see more clearly how the universe unfolds, or how a tree grows, or how learning requires special efforts at certain, very specific, points.
The law of octaves explains many phenomena in our lives which are incomprehensible. ~ Gurdjieff
The law of seven is said to be the basis for the seven-note musical octave. The idea is that in nature, and in the universe at large, nothing continues forever in a direct line. Everything must deviate at definite intervals. If you take the standard seven-note octave, plus the first note to a new octave, you get eight notes: do, re, mi, fa, sol, la, si, and do. What the law of seven says is that within these eight notes there are two definite intervals, one between mi and fa, and one between si and the new do. The intervals are called the mi/fa interval and the si/do interval. On an energetic level what this means is that the vibrations, which are increasing (or decreasing) at a consistent rate naturally slow down at these two intervals. Octaves can be ascending, where the vibrations increase, or descending, where the vibrations decrease. In an ascending octave the notes run forward, so that the first interval occurs in the middle at the mi/fa, and the second interval occurs at the end at the si/do. In a descending octave the notes run backward: do, si, la, sol, fa, mi, re, and do, so that the first interval falls at the beginning and the second interval happens toward the middle.
Reading a book (or reading this essay) can be considered a simple example of an ascending octave. Often what happens is that we begin with emotion. We are inspired by the subject or what we believe we are going to learn, but then about half way through the emotion drops off. Suddenly we don’t understand why we began reading the book in the first place or why we want to learn what the book teaches. This is the feeling of a mi/fa interval, a kind of emotional confusion about what we are doing and why we are doing it. At this point it is very easy for the octave to become something different, to change direction, or to deviate. In this example maybe the book will be set aside, and a new book will be started. The second book will be a new octave, with new inspirations and emotions, but again, the same thing will happen near the middle of the book; again the emotion will drop off and we will feel confused about our motivation. In order to move on, to complete the octave—in this case to continue reading the book—a certain effort is required. An effort to bridge the interval. That effort may take many different forms. It may be quite simple; you may simply use your will to read on, knowing that if you do this, your feelings of emotional motivation will eventually return. You may have an external force motivating you. Maybe you need to learn the material in the book in order to pass a test, and maybe passing the test will allow you to find a better job or allow you to make more money. The point is that some kind of effort needs to be made to keep the octave from deviating. Once this effort is made and a new note is sounded, then the emotion returns, and it’s possible for the octave to continue for a time. The second interval in an ascending octave happens near the end, when you are nearly finished and ready to move on. The feeling of the si/do interval is: I just want this to be finished. Again the emotion drops off. You’re ready to move on, but you’re still not quite finished with what you are doing. A second effort or shock is now needed to complete the book or whatever you happen to be doing.
In descending octaves the first interval comes at the beginning. In other words the octave starts with a change of direction. The intervals in descending octaves are not bridged, or if they are bridged, they are bridged mechanically. The octave happens automatically, usually changing direction at each interval. Many natural processes, things that just happen, like decay, are descending octaves. The detonation of a nuclear bomb is a good example of a descending octave. When you see films of nuclear devices being detonated, you see that there are two very definite intervals where the force of the explosion drops off. Since it is a descending octave, the first interval appears at the beginning, at the point right after the so-called mushroom cloud. The second major interval appears at about half the distance from the point of detonation and the outer ring of the destruction.
The law of seven is a little more difficult to observe than the law of three. The law of seven requires observation of a process that unfolds over a period of time. And it must be noted that there are octaves within octaves. If we go back to our example of reading a book, we can say that reading a book in its entirety is a single octave, but we can also say that each chapter is an octave, and that each section is an octave. And all of these different octaves have intervals. But the shorter the octave is, the less severe the interval, which means that the interval will be easier to bridge.
Like everything else our inner work—our efforts to remember ourselves, and to be present, and to transform suffering—are subject to the law of octaves. What this means is that the law of seven can become a tool that can help you understand how to keep our efforts moving forward; that is, toward more and more presence.
The idea of octaves demonstrates again the necessity for effort in your inner work. What the law of octaves teaches us about being present, for instance, is that there are times when you are not going to understand why you want to be present, or why you want to connect to higher centers. Another way of looking at this is that you will not always feel emotional about being present. It is a law that you will be able to be present for a time and then an interval will come. Nothing can continue at its present rate of vibration forever, including your attempts to be present. Something will always happen. Maybe you will simply forget about it, or maybe you will become identified. Something will happen to break the chain. But if you can observe the moment where you lose your motivation to make efforts, you have an opportunity: you can use your intelligence and your experience to make a special effort to continue to be present. And this type of effort, where there is no motivation, has a greater possibility to create being than the efforts you make when you are motivated. This is so because, at the moment when you bridge this interval, there is no momentum, and so it becomes necessary for you to work directly from will.
Excellent article. Thank you.
This was very useful to begin to understand the law of seven. Thank you.
This is awesome! I love music, magic and universal principles so this is giving me food for thought. I am going to share it!
i wonder how the Mandelbrot set is viewed in light of this interpretation of the law of seven?
I think the golden ratio is a good, partial mathematical description of how a octave ascends. It expresses the proportion of change that occurs in, for example, growth in nature.
thank you
thanks for explaining law of seven in very simple way
Thanks for the simple and practical explanation. There is usually a gap between what one reads in books and one being able to see the manifestation of the same in actual life.. This article serves as a bridge and what is very nice is the way it is connected in the end to our efforts to be present.
Thank you for your thoughts.
Please accept mine not as critique but as a broadening of your perspective.
In every tone every overtone of that tone is comprimised. Otherwise it would be sterile frequency, as for example the dailtone on a phone.
When hitting a tone an infinite series of overtones consonate at once. The sequence of the overtones is the same with every tone only the pitch varies. Prime – 0ctave – Octave+Kwint – … I don’t know the sequence by heart. They all are present when striking a tone. Play the prime and the octave together there is no real difference in playing just the prime, idem playing the kwint along. There is no added tention.
The scale do-re-mi-fa-sol-la-si-do is constructed of two tetrachordes. do-re-mi- fa and sol-la-si-do. Hence the name diatonic scale.
The diatonic scale is build op with two squares do-mi-sol-si and re-fa-sol-do. Each square is a closed system. The square is build up with 3 and 5. The two squares connect and form the diatonic scale of 8.
The interval between fa-mi brings tension and between si-do bring solution.
The interval mi-fa is used for modulation along the circle of fifths it brings variation and complexity. The interval si-do wants to dissolve, it is the sub-dominant that inquires the following of the dominant to bring the melody to stop, ending the tension and completion of the score. If one strikes si the hearing requires to hear do.
The interval mi-fa leads to the circle of fifths, the circle of kwints. By which the modulations occur. fa do sol re la mi si, upwards, si mi la re sol do fa, downwards.
In each step up or down more ‘difficulties’ emerge represented with sharp notes or flat notes. The more complexities the more dificulties at the end to construct a balanced ending with the subdominant to dominant.
The esoteric implications can be freely pondered upon 🙂
[edit: replace subdominant with leading-tone, dominant with tonica]
read:
The interval si-do wants to dissolve, it is the leading-tone that inquires the following of the tonica to bring the melody to stop, ending the tension and completion of the score.
I looked up my notes on topic of the intervals and consonant notes
The sequence of overtones when pronouncing tonica c:
c-c’-g’-c”-g”-c”’-e””-g””’-bes”””-…- to infinity
these tones consonate together in one played note
This effect can also be heard on the piano with the pedal for sustain is pressed and only a c is played. The consonant strings will vibrate together with the hitting of one note.
Thank you. Thank you. Thank you. Considering you wrote this on my birthday, I apologize for being almost three years late picking up my gift. 🙂
I can’t remember it well, but didn’t Gurdjieff or Ouspensky say that men could not set foot on the moon because of its dense energy (world 96) and that gap of energy could eventually kill a human organism? I think I read it on ISOTM. That statement in fact could be very right if we consider the lack of interest in sending astronauts to the moon “again” (in my opinion the apollo landings were fake)
Hfosh: I don’t know the quote. But I’m pretty certain it’s not in the Search. In any event I can think of a number reason why a man would have difficulties, in the long run, to live in space or on the moon or even on another planet. The idea of type, for instance, tells us that the glands and organs of the human body evolved to respond to certain influences that are unique to the earth and our solar system, and to remove the body from those influences is equivalent to removing a sapling from the soil. With proper care it may survive, but it will never thrive.
Thank you! for your free website, although it may appear as solicitation, this video utilizes your law of sevens in separating the tetrads is actually very interesting. http://www.youtube.com/watch?v=aKVLXDS4De0
Haνing read this I thought it was extremely enlightеning.
I appreciate you taking the time and effort
to put this short article together. I once again find mysеlf personally spending
a significant amount of time both reaâ…ľing and leaá´ ing comments.
But so what, it was still worthwhile!
Hi William.
There are 3 descending octaves called Growth/Multiplication, Elimination/Distruction, Disease/Crime/Corruption. Would you say that reading a book is an example of an octave of growth?
Actually, just reading a book is not such a good example to demonstrate the law of octaves. It depends on the aim. You may decide in the middle of a book that you’re not going to finish it simply because you don’t like it. Why would you want to finish it against your own judgment?
Another remark: Why do you say that descending octaves start with a change in direction? How do you understand that? Could you elaborate and give an example? Theoretically, if descending octaves have the opposite configuration from ascending ones, you could say that after the first do a side branch splits off from the main branch, where some energy is given out. That would happen again at the fa-mi interval.
A personal question that I have never seen or heard answered anywhere is how to put a descending octave around the enneagram. Have you ever thought about that?
Would like to hear from you.
René Sell
Rene: Growth, Destruction, and Crime are processes; that is, the result of combining life, form, and matter into different triads, and could be part of an octave. An ascending octave may require different triads at different notes. One note may require regeneration and the next may require destruction. The law of seven is everywhere and on all different scales. It is in reading a book or preparing a meal or in long body of our change of being or in the way stars and galaxies form.
Examples of descending octaves are also all around us. A man decides to quite smoking and then decides to have one last cigarette. The octave thus begins with a interval. But you’re right about intent, or aim, ascending octaves, for us, require an aim.
I am not the right person for your question about how a descending octave could be mapped on the enneagram. For whatever reason, I have not been inspired to study the enneagram. I’m sure there is much to be gained through that study, and I am equally sure that there are others out there who have a more profound knowledge of this subject than what I possess.
thanks very much! this was very helpful right now, also went really well with this music: https://youtu.be/9-503KXJZ0A
Can you clarify one point? The 1st shock occurs between Mi-FA on the enneagram. On the musical scale, I see the gap between Mi-FA (no black note). A shock is needed here to continue the process. The 2nd shock occurs between. SO – LA, but on the musical scale the gap is between SI-DO. Can you explain why they don’t match?
Thanks so much.
The second interval is between the SI-DO. Not sure where you have the idea that it is between the SO-LA. Where is your source?
I believe they are referring to the keys on a piano.
Amazing article with great insights and great analogies thank you very much for explaining this m. Comes at a time I really needed to hear this. Guess being present helped
The book example made so much sense! Thanks for the interesting article!
How is the law of seven also called the law of “octaves”, when an octave is 8 not 7?
I believe you mean the “Septimal Law” here instead.
The final ‘do’ is the first note of a new octave. Really the octave ends with the ‘si’ note, but we add the new ‘do’ because, in many cases, the movement or transformation is the point.