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leadsheet_metrics.py
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"""
Created on Fri Oct 29 17:28:18 2022
@author: Shulei Ji
"""
from chord_metrics import chordRepre2interval,tonal_centroid,halfBar_sequences
import numpy as np
TIMESIGN={0:[6, 8], 1:[4, 4], 2:[9, 8], 3:[2, 4], 4:[3, 4], 5:[2, 2], 6:[6, 4], 7:[3, 2]}
DURATION={0:2, 1:4, 2:6, 3:8, 4:10, 5:12, 6:16, 7:18, 8:20, 9:22, 10:24, 11:30, 12:32, 13:36, 14:42, 15:44, 16:48, 17:54, 18:56, 19:60,
20:64, 21:66, 22:68, 23:72, 24:78, 25:80, 26:84, 27:90, 28:92, 29:96, 30:102, 31:108, 32:120, 33:126, 34:132, 35:138, 36:144}
def compute_metrics(chord_sequence,melody_sequence):
chord_type = {}
chord_type[0] = 0
for i in range(1, 7):
for j in range(40):
chord_type[i * 100 + j] = 0
for i in chord_sequence:
# print(i)
type = i[:7].index(1)
root = i[7:].index(1)
if type != 0 and root!=40:
chord_type[type * 100 + root] += 1
else:
chord_type[0] += 1
########################## CC & CHE ############################
chord_statistics = []
for i in chord_type:
chord_statistics.append(chord_type[i])
CC = len(chord_statistics) - chord_statistics.count(0)
# # calculate entropy
chord_statistics = np.array(chord_statistics) / len(chord_statistics)
CHE = sum([- p_i * np.log(p_i + 1e-6) for p_i in chord_statistics])
############################# CTD ############################
y = 0
CTD_length = len(chord_sequence) - 1
for n in range(len(chord_sequence) - 1):
chord1 = chordRepre2interval(chord_sequence[n + 1])
chord2 = chordRepre2interval(chord_sequence[n])
if len(chord1) > 1 and len(chord2) > 1:
y += np.sqrt(
np.sum((np.asarray(tonal_centroid(chord1))
- np.asarray(tonal_centroid(chord2))) ** 2))
else:
CTD_length -= 1
if CTD_length == 0:
CTD = 1
else:
CTD = y / CTD_length
################### PCHE & DCHE & API #######################
pitch = []
pitch_class = np.array([0] * 12)
duration_class = np.array([0] * 37)
restNum = 0;
pitchNum = 0;
durationNum = 0
for i in melody_sequence:
if i in [0, 99, 100, 101, 102, 103, 104, 105, 106]:
continue
if i <= 61:
if i == 1:
restNum += 1
else:
pitch.append((i + 40) % 12)
pitch_class[(i + 40) % 12] += 1
pitchNum += 1
else:
duration_class[i - 62] += 1
durationNum += 1
pitch_class = pitch_class / pitchNum
PCHE = sum([- p_i * np.log(p_i + 1e-6) for p_i in pitch_class])
duration_class = duration_class / durationNum
DCHE = sum([- p_i * np.log(p_i + 1e-6) for p_i in duration_class])
intervalSum = 0
for i in range(len(pitch) - 1):
intervalSum += abs(pitch[i + 1] - pitch[i])
API = intervalSum / (len(pitch) - 1)
##########################################################
chord_zip, melodyPit_zip, melodyDur_zip = halfBar_sequences(chord_sequence, melody_sequence)
# print(len(chord_zip), len(melodyPit_zip), len(melodyDur_zip))
assert len(chord_zip) == len(melodyPit_zip) == len(melodyDur_zip)
########################## HC ############################
HC_note_cnt=0
for melodyPit_m, chord_m in zip(melodyPit_zip, chord_zip):
m_i = 0
for i in range(len(melodyPit_m)):
m = melodyPit_m[i]
if m in chord_m:
m_i += 1
HC_note_cnt+=len(melodyPit_m)
HC = m_i / HC_note_cnt
########################## DC ############################
DC = 0
for melodyPit_m, chord_m in zip(melodyPit_zip, chord_zip):
m_i = 0
for i in range(len(melodyPit_m)):
m = melodyPit_m[i]
if m not in chord_m:
m_i += 1
if m_i == len(melodyPit_m):
DC += 1
DC = DC / len(chord_sequence)
############################# CTnCTR ############################
c = 0
p = 0
n = 0
for melodyPit_m, melodyDur_m, chord_m in zip(melodyPit_zip, melodyDur_zip, chord_zip):
if len(chord_m) == 1:
for ii in melodyPit_m:
if ii != -1:
c += 1
continue
for i in range(len(melodyPit_m)):
m = melodyPit_m[i]
if m != -1:
if m in chord_m:
c += melodyDur_m[i]
else:
n += melodyDur_m[i]
if i + 1 < len(melodyPit_m):
if abs(melodyPit_m[i + 1] - melodyPit_m[i]) <= 2:
p += melodyDur_m[i]
if (c + n) == 0:
CTnCTR = 1
else:
CTnCTR = (c + p) / (c + n)
############################# PCS ############################
score = 0
count = 0
for melodyPit_m, melodyDur_m, chord_m in zip(melodyPit_zip, melodyDur_zip, chord_zip):
if len(chord_m) == 1:
continue
# print("melody_m: ",melody_m)
for m in range(len(melodyPit_m)):
if melodyPit_m[m] != -1:
score_m = 0
for c in chord_m:
# unison, maj, minor 3rd, perfect 5th, maj, minor 6,
if abs(melodyPit_m[m] - c) == 0 or abs(melodyPit_m[m] - c) == 3 or abs(melodyPit_m[m] - c) == 4 \
or abs(melodyPit_m[m] - c) == 7 or abs(melodyPit_m[m] - c) == 8 or abs(
melodyPit_m[m] - c) == 9 \
or abs(melodyPit_m[m] - c) == 5:
if (melodyPit_m[m] - c+12)%12 == 5:
score_m += 0
else:
score_m += 1
else:
score_m += -1
# print(m,duration_m[m])
score += score_m * melodyDur_m[m]
count += melodyDur_m[m]
if count == 0:
PCS = 1
else:
PCS = score / count
############################# MCTD ############################
y = 0
y_m = 0
count = 0
for melodyPit_m, melodyDur_m, chord_m in zip(melodyPit_zip, melodyDur_zip, chord_zip):
if len(chord_m) == 1:
continue
for m in range(len(melodyPit_m)):
if melodyPit_m[m] != -1:
y += np.sqrt(
np.sum((np.asarray(tonal_centroid([melodyPit_m[m]])) - np.asarray(tonal_centroid(chord_m)))) ** 2)
y_m += y * melodyDur_m[m]
count += melodyDur_m[m]
if count == 0:
MCTD = 1
else:
MCTD = y / count
return PCHE,DCHE,API,HC,CC,CHE,CTD,DC,CTnCTR,PCS,MCTD