User:Xenwolf/Python

... just snippets ...

Calculate ED step size

import math

# formatted size string
def ed_interval_size(steps, division=12, equiv=2, digits=0):
    return f'{math.log(equiv, 2)/division*steps * 1200:.{digits}f}'

# some examples
print('1\\271 EDT --- ', ed_interval_size(1, 271, 3, 5))
print('1\\100 EDF --- ', ed_interval_size(1, 100, 3/2, 5))
print('1\\171 EDO --- ', ed_interval_size(1, 171, 2, 5))

The equivalence intervals are:

• EDO: equiv = 2 (octave)
• EDF: equiv = 3/2 (fifth)
• EDT: equiv = 3 (tritave)

Output of above script:

1\271 EDT ---  7.01828
1\100 EDF ---  7.01955
1\171 EDO ---  7.01754

Generate EDO exposés

The following script creates most of the parameters for EDO info boxes, it can also be used as a module:

import math

# step size in cents
def ed_interval_size(steps, division=12, equiv=2):
    return math.log(equiv, 2)/division * steps * 1200

# format (most of) of XenWiki info box
def edo_info(n):
    a = ed_interval_size(1, n, 2)
    p5s = round(n*math.log(3/2, 2))
    p5c = round(p5s*1200/n)
    p5 = f'{p5s}\{n} ({p5c}¢)'
    M2s = (2*p5s) % n
    M2c = round(M2s*1200/n)
    M2 = f'{M2s}\{n} ({M2c}¢)'
    m2s = 3*n - 5*p5s
    m2c = round(m2s*1200/n)
    m2 = f'{m2s}\{n} ({m2c}¢)'
    A1s = M2s - m2s
    A1c = round(A1s*1200/n)
    A1 = f'{A1s}\{n} ({A1c}¢)'
    print(f'{n} EDO ')
    print(f'| Step size = {a:.5f}¢')
    print(f'| Fifth = {p5}')
    print(f'| Major 2nd = {M2}')
    print(f'| Minor 2nd = {m2}')
    print(f'| Augmented 1sn = {A1}')
    print()

if __name__ == "__main__":
    # some EDO examples
    for n in range(1, 100):
        ed_expose(n)