import math
import sympy as sp
import matplotlib.pyplot as plt
from IPython.display import display
scale1=[]
scale2=[]
dif=[]
k=1
for i in range(13):
    scale1.append((24-i)/24)
    k=k*1/3
    while k<1/2:
        k=k*2
    scale2.append(k)
scale2.append(1/2)
del scale2[12]
scale2=sorted(scale2,reverse=True)
dif = [x - y for (x, y) in zip(scale1, scale2)]
display(scale1)
display(scale2)
display(dif)
plt.plot(dif)
plt.show()