User:Xenwolf/Python: Difference between revisions

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Created page with "... just snippets ... <syntaxhighlight lang="python"> import math # formatted output integrated, default (5) is for step size def interval_size(steps, division, equave, digi..."
 
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Generate EDO exposés: retailored function
 
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... just snippets ...
... just snippets ...
__TOC__
== Calculate ED step size ==


<syntaxhighlight lang="python">
<syntaxhighlight lang="python">
import math
import math


# formatted output integrated, default (5) is for step size
# formatted size string
def interval_size(steps, division, equave, digits=5):
def ed_interval_size(steps, division=12, equiv=2, digits=0):
     return f'{math.log(equave, 2)/division*steps * 1200:.{digits}f}'
    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))
</syntaxhighlight>
 
The equivalence intervals are:
* [[EDO]]: <code>equiv = 2</code> (octave)
* [[EDF]]: <code>equiv = 3/2</code> (fifth)
* [[EDT]]: <code>equiv = 3</code> (tritave)
 
Output of above script:
 
<pre>
1\271 EDT ---  7.01828
1\100 EDF ---  7.01955
1\171 EDO ---  7.01754
</pre>
 
== Generate EDO exposés ==
 
The following script creates most of the parameters for EDO info boxes, it can also be used as a module:
 
<syntaxhighlight lang="python">
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)
</syntaxhighlight>
</syntaxhighlight>