Source:

import numpy as np import matplotlib.pyplot as plt

f = plt.figure(figsize=np.array([9, 1.5]) * 1.1)

ax = f.add_subplot(111)

perfect = [1, 16/ 15, 9/8, 6/5, 5/4, 4/3, 45/32, 3/2, 8/5, 5/3, 9/5, 15/8] perfectn = np.array([1, 16, 9, 6, 5, 4, 45, 3, 8, 5, 9, 15, 2]) perfectd = np.array([1, 15, 8, 5, 4, 3, 32, 2, 5, 3, 5, 8, 1]) perfect = perfectn / perfectd perfecty = [1,] * len(perfect)

equal = 2 ** (np.arange(0, 13) / 12) equaly = [0,] * len(equal)

ax.plot(perfect, perfecty, '-o', label='Just') ax.plot(equal, equaly, '-o', label='Equal')

inset = ax.inset_axes([0.2, -1.1, 0.6, 1])

plt.rcParams['svg.fonttype'] = 'path'

inset.plot(perfect, perfecty, '-o') inset.plot(equal, equaly, '-o')

window = 0.01

xl, xh = (1 - window) * 3 / 2, (1 + window) * 3/ 2 inset.set_xlim(xl * (1 - window / 3), xh * (1 + window / 3))

ax.axvspan(xl, xh, alpha=0.2, ymax=5, color='tab:green', linewidth=0) inset.axvspan(xl, xh, alpha=0.2, ymax=5, color='tab:green', linewidth=0)

yt_off = 0.1

for n, d in zip(perfectn, perfectd):

   ax.annotate(f'${n}$' if d == 1 else rf'$\frac{{{n}}}{{{d}}}$', (n / d, 1 + yt_off), xytext=(n / d, 1 + yt_off), va='bottom', ha='center')

for i, v in enumerate(equal):

   ax.annotate(f'${i // 12 + 1}$' if v % 1 == 0 else rf'$\sqrt[12]Template:2^{{{i}}}$', (v, 0 + yt_off), xytext=(v, 0 + yt_off), va='bottom', ha='center', fontsize=None if v % 1 == 0 else 8)

for n, d in zip(perfectn, perfectd):

   label = rf'${{\frac{{{n}}}{{{d}}}}}{{\fontsizeTemplate:8ptTemplate:3em\selectfont = {n / d:.4f}}}$'
   label = rf'$\frac{{{n}}}{{{d}}} = {n / d:.4f}$'
   print(label)
   inset.annotate(f'${n}$' if d == 1 else label, (n / d, 1 + yt_off), xytext=(n / d, 1 + yt_off), va='bottom', ha='center')

for i, v in enumerate(equal):

   inset.annotate(f'${i // 12 + 1}$' if v % 1 == 0 else rf'$\sqrt[12]Template:2^{{{i}}}  = {v:.4f}$', (v, 0 + yt_off), xytext=(v, y + yt_off), va='bottom', ha='center', fontsize=None if v % 1 == 0 else 8)

for dax in [ax, inset]:

   dax.axis('off')
   dax.set_xscale('log')

ax.set_ylim(-0.3, 1.5) inset.set_ylim(-0.3, 1.5)

f.legend(loc=(0.75, 0.13))

plt.savefig('scales.svg', bbox_inches='tight', dpi=600, transparent=True)

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