gists/string_tensions/notes.py
2018-10-11 16:45:37 +02:00

50 lines
1 KiB
Python
Executable file

#!/usr/bin/python
A = 440
notes = {
'C' : 0,
'D' : 2,
'E' : 4,
'F' : 5,
'G' : 7,
'A' : 9,
'B' : 11,
}
rel = (2**(1/12.))
def note2freq(name):
sharp = name[1] == '#'
flat = name[1] == 'b'
if sharp or flat:
note = name[0:1]
octave = int(name[2])
else:
note = name[0]
octave = int(name[1])
num = notes[note]
if sharp:
num += 1
if flat:
num -= 1
fullnum = num + 12*(octave - 5)
return A*rel**(fullnum + 3)
if __name__ == '__main__':
test_fmt = '{:3} gave {: 9.2f} Hz\nexpected {: 9.2f} Hz'
def test(name, expected):
print(test_fmt.format(name, note2freq(name), expected))
test('C2' , 65.41)
test('Ab4', 415.30)
test('A4' , 440.00)
test('B4' , 493.88)
test('B#4', 523.25)
test('Cb5', 493.88)
test('C5' , 523.25)
print()
test('E4' , 329.63)
test('B3' , 246.94)
test('G3' , 196.00)
test('D3' , 146.83)
test('A2' , 110.00)
test('E2' , 82.41)