supthos

 Simply, given a root note R and a harmony note H, let s equal the absolute value of the difference in semitones between the notes R and H, and N be the number of tone classes in the temperament. Then the consonance between R and H, C(R,H), is the square root of the ratio between the octaves per cycle of the interval and its steps to octave. We compute the octaves per cycle, OPC, as s divided by the greatest common divisor between s and N, and the steps to octave STO as N divided by s. Then N = 12, s = |d(R,H)|, OPC = s/GCD(s,N), STO = N/s. C(R,H) = sqrt(OPC/STO). The way we interpret this model is as follows. The greater the resulting number, the greater the consonance between the given notes. Hence, the most consonant interval is the unison. So, its consonance is defined as infinite.

Whereas, previously, I tried to make sense of the surreal numbers, after a little more study, I've come to a more reasonable understanding of the subject. My knowledge on it is not yet complete, though. Let's imagine the Real Line of numbers. It extends from zero in some direction, and in the direction opposite to it. Around the origin, there's what some mathematicians like to rightly call the Infinitesimal Monad. Since the Opticon is a scale-construct, it follows the Law of Continuity, by Leibniz: "the rules of the finite are found to succeed in the infinite." Therefore, there's an operational limit over the infinitesimal quantities. This means infinitesimal quantities are incomparable to real quantities up to exponentiation. Similarly, there's an operational limit to the Reals. Namely, infinity, ω_1, the first uncountable ordinal, the limit ordinal of the Reals. Now, in the Reals, the first limit ordinal greater than all infinitesimal quantities is, by n...

 The primordial resource is an object undifferentiated. That is, it is one thing without forms or structure.  But this thing can be sourced and transformed into other resources by means of action. And as a result, this primordial resource is non-depletable. That means there is no amount of action that would render the primordial resource depleted, as the primordial resource is the only thing that exists in essence, within creation, beyond which there is only God. So, you and me, as humans, and everything else, is made out of this primordial resource that comes from God. The difference between this material experience of existence and whatever we may produce as we exploit and transform resources, is that the action necessary to account for our existence is 1) initially external and 2) mediated by God through nature. Now, this is not to equate other people with the unfettered Will of God, but to define internal and external action. That is, once we exist and accept the condition...

A medida en que la industrialización abarató los costos de producción, pudimos observar cómo, en general, la calidad de vida mejoró primordialmente entre los países más desarrollados, dado al servicio de mano de obra barata en países donde la pobreza es extremadamente abundante. Recientemente, he recibido noticia, que puede ser falsa, de que ante los impuestos de arbitrios de intercambio en el mercado internacional, varias fábricas en países como China, encargadas de la manufactura de objetos que luego serían vendidos bajo alguna marca de lujo se vieron obligados a vender los mismos objetos que producían, pero simplemente, sin la marca de lujo cuando las marcas de lujo comprendieron que no les sería rentable seguir comprando obra barata en China, por ejemplo, para luego venderlas al pueblo norteamericano. Por un lado, es impresionante la mentira que la industrialización presenta hoy día, en que el valor del objeto de lujo es una ilusión de mercadotecnia y publicidad. Por el otro, es un...

  Say you have a function f(t) from time t0, to infinity, that describes a spiral from an infinite diameter at point A = ( ω, ½ω) to zero, revolving counterclockwise around and converging in limit at the point P = (½ω, ½ω). This function f(t) maps a duration of time to some point (x, y) with components of nonnegative value, in such a way that, for every revolution of this spiral, the point f(t) is half a Planck length closer to point P. Note that the duration of each successive revolution lasts less than its predecessor's. Say you have a clock that can measure any amount of time. When you invoke this clock, it gives you a timestamp of any event whatsoever in terms of whichever definition of time you want to use to represent it. For example, in this world you can have a process like writing a book. You start with zero pages, just a blank canvas and, in your head, in your mind, there must be at least a few ideas cooking. And you start churning away. Maybe, you design an outline. Or ...

  Spacetime only seems to bend, because it doesn’t take into account the whole picture. General Relativity only applies within the light cone. Thus, whatever lies beyond it must at least behave in such a way that any apparent distortions of spacetime are observed within it are superimposed with whatever matter is occupied outside this cone. So, there’s a geometry outside the light cone complementary to our space-time, not a reflection, coexistent with it. Certain timelines may traverse some space-time that from a different frame of reference, could be rendered unnoticeable. But you can have aspects of one thing interact with aspects of another from a some other frame of reference. 2.       Einstein’s Theories of Relativity are mathematical constructions. Thus, they cannot tell the whole truth. Otherwise, that would mean you can reduce every event to a truth-statement in such a theory. And we know that scientists are salty, because they break down at the q...