Dave Toast wrote:Thing is, there's plenty of arbitrary in your list. You mentioned the 7 notes of the Western major and minor diatonic scales. You failed to mention the pentatonic, hexatonic, octatonic, chromatic and all the other scales.
I hate to disagree (well, not really), but the pentatonic is an arbitrary subset of the diatonic, which as I said earlier was a
consonant scale. Any subset of a consonant scale will itself be consonant. The chromatic, as you surely know, is a later approximate invention - a way to get 12 tones out of an octave that were equally spaced as the true octave itself is not. It is a way to break it down into all half steps so that key modulation is possible. You should know it is approximate or else every composition would have to remain in one key. (A piano is tuned, for example, so that every key is equivalent and that there is no one preferred key. But that means that no "diatonic" scale on a piano is truly diatonic in the mathemetical sense. The notes of the piano's scale are close approximations to the "true" values. A harpsichord, on the other hand, does have a preferred key and exact tuning in this key. You cannot use modulation on a harpsichord because other keys sound out of tune.) All the other "jazz" scales are in fact composed of 7 different notes. They are the diatonic scale just beginning and ending on a tone other than the tonic. I also did not mention the quartertone scale - but this is not consonant. There is a precise mathematical relationship between the notes of the octave. You cannot claim the octave is not a "special" scale. Look at a mathematical treatment of it and come back and tell me the Western diatonic octave is arbitrary.
Linnean taxonomy classification does indeed have 7 levels but then you have to forget about all the others that have been arbitrarily added to this since
The key is arbitrarily added to an original which is not arbitrary. Incidentally, the arcane concept of the law of 7 is that each of the 7 levels is further divided by nature into 7. And I did say the
classic Linnaean system.
7 days of the week? I guess that's not man made and arbitrary because the big fella did it all in a week, right? (jk :-))
Hey, if you can throw in haiku... And that's Big Fella, if you please.
You say there are "7 colours to a rainbow which is comprised of a continuum of wavelengths". This one goes so far as to point out that the 7 is merely an approximate quantization of a continuous sequence into an arbitrarily discrete sequence.
I believe you are missing the point of my italicization. If it is a continuum, why do we perceive discrete chromatic bands at all? And why 7?
You also mention the 7 levels of the OSI reference model for networking but you fail to mention that it's not the only reference model for networking, or even the best, and that it doesn't cover all of today's protocols.
But it
does cover all of today's protocols because it is merely a conceptual model. It may be overkill for many particular applications, but it was designed to take
every situation into account. (BTW, this happens to be the field I work in.) My point was that when OSI got down to systematizing the complex nature of network communication, all the work that was already there - including the DoD 5-level reference model - naturally fell into 7 levels. The OSI model is still the most widely used reference model and the DoD model far less so. Even the work of man can naturally fall into 7 levels.
There are also 3 (or 4) states, 5 blocks, 8 valences, 10 categories, 32 max electrons in a shell, 118 atomic numbers, etc. Why arbitrarily choose 7, the number of shells?
Yet all these seemingly varies facts conspire to fall in to 7 rows, no more, no less.
And that's to say nothing of the 8th row of the periodic table of course.
What 8th row? Post a link to where you see that. The Lanthinides and Actinides are two subrows that
both are universally considered to be part of the 7th row due to atomic number.
I should also add the 7 chakras, which are very real.
You are stretching to dismiss the interesting ubiquity of the the number 7 in nature, Dave. Don't let the other Dave's approbation distract you from being open to truer comprehension of Reality.
And you didn't do the number 19 for me to show me my observations are all arbitrary.