Generate a "random" color set

Question

Your challenge is to write a program that takes input from stdin, creates a set of 1 to ncolors and outputs them on stdout, formatted as a 6-digit-hex value with a prefixed #.

• The starting color should have following values (in a hsv colorspace) (pesudocode)
  • h=rand(), s=0.5, v=0.95.
• Every subsequent color should have its hue value increased by
  • 1/Φ
• After every 5th color, the saturation and value for the forthcoming colors should be
  • saturation - increased by 0.1
  • value - decreased by 0.2

e.g.

Color  #    h         s       v  
       1  0.5        0.5     0.95
       2  0.118...   0.5     0.95
      11  0.680...   0.7     0.55

Input

Your program shall receive an Integer nas input (stdin), which defines the number of colors, to be generated. Where 0 < n < 16

Output

• On each call, the hues' start value should be different from the last call (Don't just take the same random start number on every call)
• Output should be on stdout with one color per line.
• The array shall contain n different hex codes.
• The hex codes should be prefixed with a "#" and be padded with a "0", such that you always get a 7 character string like "#FFFFFF"

Additional Rules

• The use of built in functions/tools/etc for the following conversions is forbidden
  • HSV->RGB
  • RGB->HEX representation of RGB_{a function which specifically converts rgb to hex, generic tools like sprintf are ok.}
  • HSV->HEX representation of RGB_{just to make sure...}

Scoring

The size of your code in bytes.

Test Cases_{(result of rand() in parantheses)}

3 (0.35389856481924653) -> 
    #79f388
    #f3798e
    #79b1f3
    
8 (0.763850917108357) -> 
    #c079f3
    #79f39d
    #f37979
    #4c6ec0
    #90c04c
    #c04cb1
    #4cc0ac
    #c08b4c
    
15 (0.10794945224188268) -> 
    #f3c879
    #a479f3
    #79f381
    #f37995
    #79b8f3
    #aac04c
    #b44cc0
    #4cc092
    #c0704c
    #4f4cc0
    #448c2a
    #8c2a61
    #2a7e8c
    #8c7e2a
    #612a8c 

for a visualization of the codes, you can paste your output here

I will change the accepted Answer, as soon as new appear

Answer 1

Python 184 bytes

from random import*
h,s,v=random()*6,.5,243.2
for i in range(input()):
 h+=3.708;print'#'+'%02x'*3%((v,v-v*s*abs(1-h%2),v-v*s)*3)[5**int(h)/3%3::int(h)%2+1][:3]
 if i%5/4:s+=.1;v-=51.2

The HSV ⇒ RGB conversion is taken directly from wikipedia.

A few implementation notes.

• h is defined as its proper value times 6, which simplifies region determination.
• v is defined as its proper value times 256, which propagates through to all three RGB values.
• 6/Φ (approximately ~3.708) is used instead of 1/Φ, in agreement with the scaling of h. Similarly, the decrement value for v is also scaled by 256.
• The bit of magic
  ((v,v-v*s*abs(1-h%2),v-v*s)*3)[5**int(h)/3%3::int(h)%2+1][:3]
  is logically equivalent to
  c=v*s;m=v-c;x=c-c*abs(1-h%2)+m;c+=m;[(c,x,m),(x,c,m),(m,c,x),(m,x,c),(x,m,c),(c,m,x)][int(h)%6]

Sample usage:

$ echo 3 | python color-set.py
#f37994
#79b8f3
#dbf379

$ echo 8 | python color-set.py
#d2f379
#f079f3
#79f3cc
#f3a979
#8579f3
#62c04c
#c04c84
#4ca6c0

$ echo 15 | python color-set.py
#7984f3
#a8f379
#f379cb
#79eff3
#f3d379
#804cc0
#4cc05e
#c04c5c
#4c7dc0
#9fc04c
#8b2a8c
#2a8c6f
#8c522a
#352a8c
#3b8c2a

A visualization of the values for n = 15:
and the corresponding html.

Answer 2

As I saw by other People, i start with my own solution

Javascript, 418433

a=prompt();x=0.6180339887;r=[];m=Math.random;p=[m(),0.5,0.95];function h(c,g,d){k=~~(6*c);b=6*c-k;c=d*(1-g);l=d*(1-b*g);g=d*(1-(1-b)*g);f=e=b=255;1>k?(b=d,e=g,f=c):2>k?(b=l,e=d,f=c):3>k?(b=c,e=d,f=g):4>k?(b=c,e=l,f=d):5>k?(b=g,e=c,f=d):(b=d,e=c,f=l);return"#"+[b,e,f].map(function(c){return 16>(c=0|256*c)?0:""+c.toString(16)}).join("")}for(;a--;)r.push(h.apply(h,p)),p[0]+=x,p[0]%=1,!(a%5)&&(p[1]+=0.1,p[2]-=0.2);console.log(r.join("\n"))

Damn, i did something wrong in the previous versioon when inlining the function, i shouldn't write the code golfed from beginning

Sample Output

#79f3a0
#f37d79
#7999f3
#bcf379
#f379e0
#4cc0b0
#c08e4c
#6d4cc0
#4ec04c
#c04c6f
#2a648c
#818c2a
#7b2a8c
#2a8c5e
#8c412a