The consequence of a linear scientific measurements and the concept of a circle and infinity provides the option of proving almost anything to someone but very little to everyone.
An example is the one of distance, which equates to effort in an object moving through time. Note that the theory is that if enough effort is applied so that speed is 186,000 miles per second distance will no longer exist as time will be unmeasurable.
Back on simple Earth, for those of use that do not have interstellar or orbiting station we have only two tools at our disposal. a) our bodies ability to move around and b) our ability to think, both of which are limited in each person, to hugely different degrees. Young children and the aged and infirm are likely to have, relative to a physically strong and/or intellectually astute individual inadequate abilities to assess even the most basic states of the environment as the next example I hope will show.
Take the distance from point A to point B. Logic will define a straight line as the shortest distance between A and B. However this is only in logic practically speaking for someone unable to walk the distance would seem insurmountable without aid.
This diagram shows some of the parameters in flux,
The height of the mountain cannot be measure directly and has to be done mathematically and if you don't have the necessary skills you will not know, unless you believe someone else.
In the example A = Apex (top of the mountain, B = Base (height from adjacent land), F=Foot (the outer extreme of the mountain bulk where it merges with the surrounding ground. O is the position of the observer. AB = BF = FO
From overhead the distance between the OA (observer and apex) would appear the same as BO, but not having m own aircraft I can only walk OF and FA which is 2.4141 the height of the mountain or if the mountain was 1000m height a further 414meters than the apparent flat earth distance. So was id the distance?
If the mountain was vertical I would be and I am at the base on the flat earth view, from an aircraft above the mountain I would travel 0 metres however if I did climb to the top of the mountain I would travel the mountain height.
The proportional difference in distance is infinity.
So linear measurement must take into account not just latitude and longitiue but altitude direction none of which clearly account for gravity and it is moving in respect gravity that requires the effort. So who cares how far it is when all that matters is how easy or difficult changes position is.
Each plant and animal requires space to grow, albeit at the expense of others, but as homo spaiens taking over most of the space they use ever increasing resources to control and mange it. Moreover arguably an increasing amount of the resources are used just to administer the resources and thereby control other peoples, who effectively become the resource for the stronger, just as a gazelle is to a lion.
For the limited space on this planet it is essential that if less resources are used to administer then each person must do more for themselves.
Having a share of land to build a shelter and grow food is the beginning in the reduction of harvesting each others weaknesses.
An example of the ludicrousy of administration is that the UK is know as a centre for services, as are most towns and cities. The money the government earns is by taxes, which is of course a service. Most people work to buy services from others, the grower, the builder etc. and in the course of their work are in turn service providers, bankers, retailer and transporters. These services require minimal physical activity and will no doubt soon be automated, yet the people who do this dubious yet currently essential activities require more resources than the actual farmer who's basic output is food.
Most populations do not grow exponentially, rather they follow a logistic model. Once the population has reached its carrying capacity, it will stabilize and the exponential curve will level off towards the carrying capacity, which is usually when a population has depleted most its natural resources.
I took an interest in astronomy when very young, maybe ten, but didn't get a telescope until I was about 21, when I also took an interest in astrology, emphasised by my study of the Kabbalah as retorted mostly by Aleister Crowley.
There is little difference in the math and science, except that astronomy mostly studies the mass of the planets and their effect on each other, and of what use mankind as a whole make of it, whereas astrology considers the historical meaning and impact upon culture and personality. Both make predictions.
As astrology is based upon the the culture and the state of a persons mind it can be used to manipulate individuals and groups that adhere to rituals based upon the apparent relative position of the planets aka moving stars to places and times of human endeavour, the most notable being birth.
The more obvious of the birth relativities are those of where the sun and moon are, and what other planets may be at notable locations, such as rising in the east, at mid-heaven, setting in the west and at a point of occultation, most notably at nadir, the opposition to mid-heaven.
It is the notion of relativity to other persons birth data that is used to project personally upon oneself and others, often not to a beneficial outcome. The cause fo concern is that astrology appears to enhance the sense of importance of polarity, though such is coloured like the rainbow very well.
So I would not indulge a person is their astro investigation without some serious discussion, what is the purpose.
One of the major polarities in the data is what is known as tropical or sidereal positioning.
Tropical astrology is positioning of solar objects relative to the seasons, which are denoted by the lines of tropic of Capricorn and Cancer. The first sign of the zodiac, Aries being denoted by the first 30 degree arc of space that ascends after the northern hemisphere spring equinox.
This version is the more common in the west and is that used in newspaper columns for example.
Sidereal astrology compares the position of the objects of the solar system to those deep space constellations. If enough astronomy is understood a person can see the relevance in the procession of the equinoxes. The procession means that each year our solar system and all measurements to deep space are continually modified by the angle our planet and system tilt relative to the more apparent stable objects.
Although all move the notion in the sidereal is that there is more stability for personal and cultural meditation as the stars seem to be closer to 'God' that the nearby planets.
Sidereal astronomy angular measurement is the same as geocentric astronomy and is still used to predict earthly environment factors such as when the next rain will fall in Sudan. Over thousands of years adjustments are made. Some 2000 years ago and more, groups of stars where associated under a name, Aries being one such group. In the band of space the sun and planets appear twelve groups were, the reason for twelve i will deal with later. So twelve groups of stars, each allocated to 30 degrees of rotation where used to denote the passage of planets through the heavens, though some of the primary stars in some groups may only cover 10 degrees.
Since the fashioning of the signs of the zodiac where some 200 years ago the beginning of the zodiac was 0 degrees Aries the Procession now means that at the beginning of the zodiac year, around the 21st March, which tropically is the beginning, ) degrees Aries, siderealy the stars are some 26 degrees advanced.
So a siderealist astrologer would add 26 degrees to the tropical setting.
For example someone born on the 15th March, which is tropically the middle of Aries is siderealy 11 degree Taurus. Such adjustment s for sidereal astrology apply to all planets relative to constellations.
Sidereal astrology does not effect star signs which are linked to seasons not does ir effect relative angles between the planets.
So what is it you are lookin for when you look out at the stars or inwards to your dubiou culture.
If, like me, you have a standard western fretboard it will scaled in 12 equal portions. Each scale is either double or half the adjacent one. Each note is a 1/12 higher or lower of the the adjacent note. The notes are found by the respective formula (2^1/12) and (0.5^1/12).
A notable problem with this is that the notes at the frets do not exactly equate to harmonics of other notes. For example: If A is set to 440Hz then 330 and 660 would equate to lower and higher harmonics by half. But the closet that can be played without bending the strings, which can't be done with open strings, is E at 329.63 and 659.26.
The two common methods are to use a pitch pipe or electronic equivalent or the 5,5,5,4,5 fret routine in a six string setting:
As a simple way of spreading out the errors inherent is the equal temperament scale, I tune as follows:
With six strings
- I tune both E's and then the second fret of the D string (E) to the two E's
- Then I tune the G string to the G on the two E's
- Then the A to the A on the G string and finally
- The D on the B string to the open D string.
The only difference with a 12 string, to keep the tension down I tune low, about a 1/12 and tune the lightest G string first. One the two G's are done I then do the E's and then as the 6 string order.
Next page for more on the issues with harmonics and the western scale
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The basis of harmonics is that one frequency includes another as a factor, i.e. one number is half or twice another. In western music an octave is run of eight notes where the first and last notes are double or half the other. The familiar (doh 1, ray 2, me 3, fah 4, so 5, la 6, tee 7, and back to doh 8)
The initial query that comes to mind is why are certain frequencies used repeatedly in music? Is it just a habit, an addiction or is there some ancient and ongoing connection to the world we reside in.
We are all aware of the day and it's two divisions, night and day. They are often spoken of in periods of 6hours and 3hours, but then 1 hour not 1&half.
We then go further away from the basic scale of dividing by two and divide the hour into 60 minutes, each minute into 60 seconds, each second into 60 thirds, each third into 60 fourths
To most people the smallest part used is the second and that infrequently. Sports people and technicians then take the second and continue to divide it by 10, 100, 1000 etc.
There are useful reasons for all this but the point is that the second is used to define music notes by the number of vibrations occurring in each second. More recently called a Hertz* 1Hz being one cycle per second.
The problem is that a) a second is not a natural harmonic of a day being one 86400th of a day The closed natural harmonics are 2^16 (65,536) and 2^17 (131,072) in that scale/octave 86400 would be between a 'so' (82570) and a 'la' (87480) approx, the closet being the 'la'
I don't drive so my interactions with vehicles is as a pedestrian. I don't plan weaving within the traffic when there is a wave of cars but their is always a trough sooner or later, should that coincide with traffic lights is not a concern I have.
Still I have to accept that I'm getting old and I may gauge the spaces and time in error, not only that, it may well be that I fall and am not sprightly enough to bounce off the tarmac and dodge the steel.
What brought me to this spiel?
I was in Bristol this last weekend and I wove between the traffic with a young child in my arms; it's been playing on my mind and I feel dirty. That I put my notions of safety into to action like that with no thought of how the mother, who was watching, felt. Such levels of danger and inconsideration embarrass me.
I am not going to do it again. I will be more considerate to the young and their mothers, though I doubt I will show such consideration for the drivers.
Data from STATS 19 show that pedestrian accident rates are higher over the pedestrian crossing points than these away from it, or within 50 meters of pedestrian crossing facilities. This is contrary to the expectations that accidents should be least over these crossing facilities.