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-rw-r--r--yue.py51
1 files changed, 33 insertions, 18 deletions
diff --git a/yue.py b/yue.py
index dda9e79..1cb3885 100644
--- a/yue.py
+++ b/yue.py
@@ -8,21 +8,6 @@ bitrate = 44100
music = []
-def process(notes, start, speed=1, gain=1, blend=0):
- """
- Adds a list of notes to the music list
- """
- t = start
- for note in notes:
- vol = 1
- if len(note) == 4:
- vol = note[3]
- start = min(t, t + note[0] / speed)
- end = max(t, t + note[0] / speed)
- music.append((start, end + 16 * int(blend), note[1], note[2], vol * gain))
- t = end
-
-
def freq(octave, step):
"""
Returns the frequency of a note
@@ -30,9 +15,9 @@ def freq(octave, step):
return 55 * 2 ** (octave + step / 12 - 1)
-def tone(f, t):
+def droplet(f, t):
"""
- Returns the intensity of a tone of frequency f sampled at time t
+ Returns the intensity of the "droplet" waveform of frequency f sampled at time t
https://dsp.stackexchange.com/questions/46598/mathematical-equation-for-the-sound-wave-that-a-piano-makes
https://youtu.be/ogFAHvYatWs?t=254
"""
@@ -45,6 +30,21 @@ def tone(f, t):
return Y
+def seething(f, t):
+ """
+ Returns the intensity of the "seething" waveform of frequency f sampled at time t
+ """
+ w = 2 * math.pi * f
+ Y = 0.6 * math.sin(w * t) * math.exp(-0.0005 * w * t)
+ Y += 0.1 * math.sin(0.99 * w * t) * math.exp(-0.0005 * w * t)
+ Y += 0.1 * math.sin(1.01 * w * t) * math.exp(-0.0005 * w * t)
+ Y += 0.2 * math.sin(2 * w * t) * math.exp(-0.0005 * w * t)
+ Y += math.copysign(Y * Y, Y)
+ Y *= 1 + 16 * t * math.exp(-6 * t)
+ Y *= 0.5 * min(24 * t, 1)
+ return Y
+
+
def at(t):
"""
Returns the total intensity of music sampled at time t
@@ -56,10 +56,25 @@ def at(t):
for j in range(max(i - 32, 0), i):
m = music[j]
if m[1] > t:
- ret += m[4] * tone(freq(m[2], m[3]), t - m[0])
+ ret += m[4] * m[5](freq(m[2], m[3]), t - m[0])
return int(2**28 * ret)
+def process(notes, start, speed=1, gain=1, blend=0, waveform=droplet):
+ """
+ Adds a list of notes to the music list
+ """
+ t = start
+ for note in notes:
+ vol = 1
+ if len(note) == 4:
+ vol = note[3]
+ start = min(t, t + note[0] / speed)
+ end = max(t, t + note[0] / speed)
+ music.append((start, end + 16 * int(blend), note[1], note[2], vol * gain, waveform))
+ t = end
+
+
def play(start, end):
"""
Print music from the start time to end time encoded in s32 to standard output