Mathematical Functions illustrating temperaments

[machintruc]

I used to be a fan of DSP, so I had those ideas in mind today at 3AM or something.

Let's suppose Y is in the interval [-1;+1].

EJ : y=INT(SIN(x)) - square pattern ; balancing between +1 and -1.

IP : y=SIN(x) - sine pattern

EP : y=RND - random pattern or white noise.

IJ : y=0 - constant pattern

You see how EJ and IP are dynamic and how EP and IJ are static...

[1981slater]

You are a hurricane!
Where do you get so many ideas?

[Kristiina]

I disagree. I think it's more like...
IJ y=0.5*sinx Very calm and slowly changing sin graph.
EJ y=sinx (your version might be better. I don't know what it looks like.)
IP - white noise
EP - 2x white noise, with less fluctuation. Maximum is bigger.

EP and IP are like the ones shown on the graph.

[machintruc]

I quite agree with Kristiina, because I stipulated pure temperaments.

Mitin says that individuation goes through the golden proportion.

An IJ would be 62% I, 62% J, 62% static, 38% E, 38% P, 38% dynamic.

An IJ is approximately 38% IJ, 23% EP, 23% EJ, 16% IP.

Functions should be mixed each other.

An IJ is more : .25 * (0*.38 + noise*.23 + intsin(x)*.23 + sin(x)*.16)

But I partly disagree because it contradicts Pavlov's descriptions :

EJ strong-balanced-mobile
IJ strong-balanced-inert
EP strong-unbalanced
IP weak

[astralsilky]

This thread is hilarious ~ I love it.

Well done.

[machintruc]

This thread is hilarious ~ I love it.

Well done.

As for the EP - white noise correlation, well, one could say that EPs actually see a myriad rainbows within that "noise" whereas others glance and see the white result.

Because EP-typed psyches differentiate better EP material.

[machintruc]

Analogy with Model T :

E is level of excitation
I is level of inhibition

E low I high : sine wave - weak
E high I low : white noise - strong, not balanced
E high I high : square wave - strong, balanced, mobile
E low I low : mute - strong, balanced, inert

For example, LII : Logic is sine, Intuition is mute, Ethics is square, Sensing is noise.

On Introtims, functions 1234 have this pattern : sine-mute-square-noise
On Extrotims, functions 1234 have this pattern : noise-square-mute-sine