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1
4
total_tokens
int64
12
51.1k
min_valid_p1_ms
float64
2.1
501
min_conservative_p2_5_ms
float64
2.1
540
q1_ms
float64
10
820
median_ms
float64
10
1.11k
mean_ms
float64
10
1.66k
std_ms
float64
0
1.62k
q3_ms
float64
10
1.74k
max_conservative_p97_5_ms
float64
10
3.38k
max_valid_p99_ms
float64
10
3.83k
raw_min_ms
float64
1
431
raw_max_ms
float64
10
10.3k
min_valid_p1_sec
float64
0
0.5
min_conservative_p2_5_sec
float64
0
0.54
q1_sec
float64
0.01
0.82
median_sec
float64
0.01
1.11
mean_sec
float64
0.01
1.66
std_sec
float64
0
1.62
q3_sec
float64
0.01
1.74
max_conservative_p97_5_sec
float64
0.01
3.38
max_valid_p99_sec
float64
0.01
3.83
raw_min_sec
float64
0
0.43
raw_max_sec
float64
0.01
10.3
a
51,074
76
95
155.5
190
194.6
58.6
228
328.2
357.5
70
498.8
0.076
0.095
0.155
0.19
0.195
0.059
0.228
0.328
0.358
0.07
0.499
a:
19,897
56.7
94.4
433.5
510
528.9
274.3
586.5
2,944.8
2,944.8
32.6
2,944.8
0.057
0.094
0.434
0.51
0.529
0.274
0.586
2.945
2.945
0.033
2.945
an
1,041
33.1
50
139.5
265
416.8
343
679.8
1,198.8
1,287.1
11
1,715.5
0.033
0.05
0.139
0.265
0.417
0.343
0.68
1.199
1.287
0.011
1.716
aΛ€
6,583
128.3
137.5
186.2
220
229.7
61.8
260
375.3
440
110
577.5
0.128
0.138
0.186
0.22
0.23
0.062
0.26
0.375
0.44
0.11
0.578
aΛ€n
232
2.1
2.1
19.9
30
45.3
39.5
58.4
146.2
171.1
2.1
210
0.002
0.002
0.02
0.03
0.045
0.04
0.058
0.146
0.171
0.002
0.21
b
6,492
73.3
77
99
110
109.8
18.1
121
146.7
160
61.1
230
0.073
0.077
0.099
0.11
0.11
0.018
0.121
0.147
0.16
0.061
0.23
bb
1,200
72.6
72.6
418.2
460
430.1
124.3
500.2
581.1
605.3
24.2
895.8
0.073
0.073
0.418
0.46
0.43
0.124
0.5
0.581
0.605
0.024
0.896
d
3,360
86.7
91
115.6
130
130.9
20.6
144.4
173.3
187.8
70
210
0.087
0.091
0.116
0.13
0.131
0.021
0.144
0.173
0.188
0.07
0.21
dd
409
400
402.8
460
500
499.7
51.6
535.7
611.1
620
380
652.8
0.4
0.403
0.46
0.5
0.5
0.052
0.536
0.611
0.62
0.38
0.653
dΛ€
771
87.3
91.4
128
160
178.1
79.5
203.2
352
401.6
34.3
822.9
0.087
0.091
0.128
0.16
0.178
0.08
0.203
0.352
0.402
0.034
0.823
dΛ€dΛ€
27
330.3
367.6
467.4
570
571.9
138.8
626
867.6
904.4
305.4
928.9
0.33
0.368
0.467
0.57
0.572
0.139
0.626
0.868
0.904
0.305
0.929
f
5,632
14.5
14.5
140
160
152.2
47.5
174.5
221.5
249.2
14.5
829.1
0.015
0.015
0.14
0.16
0.152
0.048
0.175
0.222
0.249
0.015
0.829
ff
81
331.4
347
400
420
427.5
44.1
451.5
525
532
328.7
560
0.331
0.347
0.4
0.42
0.428
0.044
0.452
0.525
0.532
0.329
0.56
h
7,611
81.7
87.5
122.5
140
147.2
38.1
165.5
245
280
70
370
0.082
0.088
0.122
0.14
0.147
0.038
0.165
0.245
0.28
0.07
0.37
hh
51
374.3
385.2
454.1
490
497.1
66.4
537.1
622.2
650.7
367.5
671.5
0.374
0.385
0.454
0.49
0.497
0.066
0.537
0.622
0.651
0.368
0.671
i
21,815
63.3
84.4
147.8
190
210.5
93.7
253.3
466.4
522.5
63.3
696.7
0.063
0.084
0.148
0.19
0.211
0.094
0.253
0.466
0.523
0.063
0.697
i:
5,408
107.4
241.8
820.4
1,110
1,660
1,617.7
1,741.4
3,281.7
3,726.6
80.2
10,276.5
0.107
0.242
0.82
1.11
1.66
1.618
1.741
3.282
3.727
0.08
10.276
in
1,425
48.8
81.4
256.9
415
587.5
453.7
869.5
1,666.1
1,835.9
44.5
2,346.3
0.049
0.081
0.257
0.415
0.587
0.454
0.87
1.666
1.836
0.044
2.346
j
6,187
38.2
46.7
96.9
140
168.1
118
210
490
763.6
26.2
1,460
0.038
0.047
0.097
0.14
0.168
0.118
0.21
0.49
0.764
0.026
1.46
jj
300
10
10
10
10
10
0
10
10
10
10
10
0.01
0.01
0.01
0.01
0.01
0
0.01
0.01
0.01
0.01
0.01
k
5,582
127.5
136
156.9
170
172.9
21.2
184.2
222.3
226.7
113.3
250
0.128
0.136
0.157
0.17
0.173
0.021
0.184
0.222
0.227
0.113
0.25
kk
173
396.8
428
507.6
535
536.5
56.4
573.2
643.9
685.7
384.1
706.2
0.397
0.428
0.508
0.535
0.537
0.056
0.573
0.644
0.686
0.384
0.706
l
17,402
53.6
62.5
93.8
125
164.9
93.9
234.4
361.1
416.7
30
1,520.8
0.054
0.062
0.094
0.125
0.165
0.094
0.234
0.361
0.417
0.03
1.521
ll
2,619
308
333.3
402.9
440
447.6
65.1
484
607
631.3
190
870
0.308
0.333
0.403
0.44
0.448
0.065
0.484
0.607
0.631
0.19
0.87
lΛ€lΛ€
402
242.9
305.2
368.9
390
397.2
67.3
417.9
547.6
632.2
30
800
0.243
0.305
0.369
0.39
0.397
0.067
0.418
0.548
0.632
0.03
0.8
m
13,772
43.3
72.2
106.4
130
151.2
68.3
173.3
346.7
390
43.3
543.6
0.043
0.072
0.106
0.13
0.151
0.068
0.173
0.347
0.39
0.043
0.544
m̃
1,588
340.2
453.1
691.2
790
837.2
260.1
910.8
1,557.4
1,828.3
225.7
2,324.9
0.34
0.453
0.691
0.79
0.837
0.26
0.911
1.557
1.828
0.226
2.325
n
12,597
46.4
55.7
97.5
130
237
275
260
1,153.8
1,502.2
16.2
2,226.3
0.046
0.056
0.098
0.13
0.237
0.275
0.26
1.154
1.502
0.016
2.226
q
3,806
135
138.5
167.1
180
185
29.3
195
270
292.5
115.7
321.4
0.135
0.138
0.167
0.18
0.185
0.029
0.195
0.27
0.292
0.116
0.321
qq
194
358.8
384.8
443.9
465
471.3
49.7
505.3
579.4
609.4
338.2
615.8
0.359
0.385
0.444
0.465
0.471
0.05
0.505
0.579
0.609
0.338
0.616
r
2,034
40
50
68.6
80
131.2
143.2
125.7
548.6
882.9
30
1,280
0.04
0.05
0.069
0.08
0.131
0.143
0.126
0.549
0.883
0.03
1.28
rr
67
286.5
320.9
406.1
430
438.7
60.3
474.3
545.4
588.2
272.7
671.2
0.287
0.321
0.406
0.43
0.439
0.06
0.474
0.545
0.588
0.273
0.671
rΛ€
6,373
58.5
63.3
138.2
190
254.9
201.3
295.6
886.7
992.2
30
1,820
0.058
0.063
0.138
0.19
0.255
0.201
0.296
0.887
0.992
0.03
1.82
rΛ€rΛ€
673
75
75
342.9
400
403.9
173.1
470
802
975
75
2,050
0.075
0.075
0.343
0.4
0.404
0.173
0.47
0.802
0.975
0.075
2.05
s
3,744
137.5
150
183.8
200
216.7
61.3
228.6
370
432.4
75.7
940.5
0.138
0.15
0.184
0.2
0.217
0.061
0.229
0.37
0.432
0.076
0.941
ss
514
368
385.9
434.4
460
461.3
43.9
492.1
547.6
569.3
332.2
625.6
0.368
0.386
0.434
0.46
0.461
0.044
0.492
0.548
0.569
0.332
0.626
sΛ€
1,342
157.1
167.9
199
220
229.9
52.3
251.4
356.2
404.3
136.2
701.9
0.157
0.168
0.199
0.22
0.23
0.052
0.251
0.356
0.404
0.136
0.702
sΛ€sΛ€
208
311.1
322.2
389.7
420
441.8
83.7
465
653.3
667.8
300
690.7
0.311
0.322
0.39
0.42
0.442
0.084
0.465
0.653
0.668
0.3
0.691
t
6,062
120
135
165
180
180.1
24.4
195
231.4
255
105
310
0.12
0.135
0.165
0.18
0.18
0.024
0.195
0.231
0.255
0.105
0.31
tt
493
380
385.3
439.8
475
474.9
47
505.6
566.5
583.9
300
630
0.38
0.385
0.44
0.475
0.475
0.047
0.506
0.566
0.584
0.3
0.63
tΛ€
894
138.3
142.3
170.8
185
193.4
34
213.5
275.2
290.9
104.1
383.2
0.138
0.142
0.171
0.185
0.193
0.034
0.213
0.275
0.291
0.104
0.383
tΛ€tΛ€
79
313.4
339
404.7
440
444.7
59.6
491.2
560
567.2
290
592.7
0.313
0.339
0.405
0.44
0.445
0.06
0.491
0.56
0.567
0.29
0.593
u
15,031
90
90
171.8
210
229.3
96.2
267.3
496.4
570
84
840
0.09
0.09
0.172
0.21
0.229
0.096
0.267
0.496
0.57
0.084
0.84
u:
5,962
116.5
116.5
518.6
660
1,054.5
963.5
1,387.7
3,375.4
3,828
38.8
6,289.4
0.116
0.116
0.519
0.66
1.054
0.964
1.388
3.375
3.828
0.039
6.289
un
1,114
55.5
55.5
222
370
539.3
461.7
740
1,607.9
1,838
39.6
3,505.3
0.055
0.055
0.222
0.37
0.539
0.462
0.74
1.608
1.838
0.04
3.505
w
9,220
40.9
56.2
115.4
150
165.3
74
196.2
354.5
391.9
40.9
613.6
0.041
0.056
0.115
0.15
0.165
0.074
0.196
0.355
0.392
0.041
0.614
ww
233
437.8
467
562.5
600
596.6
60.1
637.5
703.6
720
431.2
737.1
0.438
0.467
0.562
0.6
0.597
0.06
0.638
0.704
0.72
0.431
0.737
x
1,533
120
130.6
158.8
180
198
62.9
216
369.5
423.5
74.1
625.3
0.12
0.131
0.159
0.18
0.198
0.063
0.216
0.369
0.424
0.074
0.625
xx
25
330.4
336.9
375
405
411.9
47.6
443.2
486
486
326
486
0.33
0.337
0.375
0.405
0.412
0.048
0.443
0.486
0.486
0.326
0.486
z
986
110.7
116.2
142.1
155
157.7
24.1
167.9
207.9
232.5
103.3
258.3
0.111
0.116
0.142
0.155
0.158
0.024
0.168
0.208
0.232
0.103
0.258
zz
145
367.9
372
421.3
455
458.4
46.4
494
541.7
551.9
367.5
563.3
0.368
0.372
0.421
0.455
0.458
0.046
0.494
0.542
0.552
0.368
0.563
Γ°
2,927
98
98
126
140
141.9
26.7
154
210
240.9
76.4
297.5
0.098
0.098
0.126
0.14
0.142
0.027
0.154
0.21
0.241
0.076
0.298
ðð
557
290.4
324.2
375.8
410
404.7
45.6
430
488.3
503.4
230
563.8
0.29
0.324
0.376
0.41
0.405
0.046
0.43
0.488
0.503
0.23
0.564
Γ°Λ€
416
108.6
118.8
158.3
190
196.2
58.2
222.1
340.6
418.4
102.9
562.1
0.109
0.119
0.158
0.19
0.196
0.058
0.222
0.341
0.418
0.103
0.562
Γ°Λ€Γ°Λ€
39
186.8
197.1
486
540
552.8
176.1
607.5
900.7
1,094.7
180
1,224
0.187
0.197
0.486
0.54
0.553
0.176
0.608
0.901
1.095
0.18
1.224
Γ±
2,629
500.6
540
720
810
881.6
270.1
947.9
1,665
1,832.9
360
2,115
0.501
0.54
0.72
0.81
0.882
0.27
0.948
1.665
1.833
0.36
2.115
Δ§
2,710
120
125.7
148.6
160
163
25.2
173.3
230
259.5
110
291.8
0.12
0.126
0.149
0.16
0.163
0.025
0.173
0.23
0.259
0.11
0.292
Δ§Δ§
12
7.5
7.9
10
10
29
63.6
10
176.8
214.7
7.1
240
0.007
0.008
0.01
0.01
0.029
0.064
0.01
0.177
0.215
0.007
0.24
Ε‹
1,944
183.4
263
589
690
719.1
243
802.7
1,349.6
1,588.6
144.4
1,813.3
0.183
0.263
0.589
0.69
0.719
0.243
0.803
1.35
1.589
0.144
1.813
Ι£
803
30
46.7
94.3
120
142.9
80.9
180
351.4
412.8
20
986.7
0.03
0.047
0.094
0.12
0.143
0.081
0.18
0.351
0.413
0.02
0.987
Κƒ
1,092
142.5
149.3
176.4
190
197.1
38.3
212.7
301.8
335.3
135.7
360
0.142
0.149
0.176
0.19
0.197
0.038
0.213
0.302
0.335
0.136
0.36
ΚƒΚƒ
211
360
361.7
398.1
420
424.3
39.4
450.4
509.7
527.1
320
560
0.36
0.362
0.398
0.42
0.424
0.039
0.45
0.51
0.527
0.32
0.56
Κ’
2,259
87.3
87.3
109.1
120
121
18
130.9
160
163.6
73.8
207.3
0.087
0.087
0.109
0.12
0.121
0.018
0.131
0.16
0.164
0.074
0.207
Κ’Κ’
100
101.8
123.8
236.9
460
405.1
156.5
528.4
613.3
633.8
61.3
635.2
0.102
0.124
0.237
0.46
0.405
0.156
0.528
0.613
0.634
0.061
0.635
Κ”
9,292
20
20
20
20
20.1
1.8
20
20
20
20
50
0.02
0.02
0.02
0.02
0.02
0.002
0.02
0.02
0.02
0.02
0.05
Κ•
6,287
92.3
109.1
169.2
200
210
61.8
240
369.2
400
60
570
0.092
0.109
0.169
0.2
0.21
0.062
0.24
0.369
0.4
0.06
0.57
Κ•Κ•
32
2.2
4.1
25
50
139.9
264.4
106.2
704.1
1,151.6
1
1,450
0.002
0.004
0.025
0.05
0.14
0.264
0.106
0.704
1.152
0.001
1.45
ΞΈ
994
47.5
47.5
158.3
190
180.1
65.2
215.3
327.6
365.3
47.5
459.2
0.048
0.048
0.158
0.19
0.18
0.065
0.215
0.328
0.365
0.048
0.459
ΞΈΞΈ
23
365.3
367.1
432.3
455
450.4
36.9
478.9
502.8
506.5
364
509
0.365
0.367
0.432
0.455
0.45
0.037
0.479
0.503
0.506
0.364
0.509
ᡊ
2,801
60
60
133.3
160
166.9
55.7
189.1
290.9
320
30
930
0.06
0.06
0.133
0.16
0.167
0.056
0.189
0.291
0.32
0.03
0.93

πŸ“– TajweedAI: Quranic Phoneme Timing Benchmark (Phases 1, 2 & 3)

πŸ“Œ Project Overview

TajweedAI evaluates Quranic recitation accuracy by analyzing both pronunciation (phoneme classification) and timing (rule duration evaluation).

This benchmark provides empirical, tempo-normalized duration boundaries for all 70 Quranic phonemes derived from forced alignments (MFA trained on Quranic audio) across 7 master reference reciters:

  1. Sheikh Mahmoud Khalil Al-Husary (Gold Standard Reference)
  2. Dr. Ayman Sowaid (Pedagogical Reference)
  3. Sheikh Abdullah Basfar
  4. Sheikh Abu Bakr Ash-Shaatree
  5. Sheikh Mishary Rashid Alafasy
  6. Sheikh Saad Al-Ghamadi
  7. Sheikh Maher Al-Muaiqly

πŸ› οΈ Methodology & Phases

Phase 1: Log-IQR Outlier Filtering

  • Quranic phoneme durations are right-skewed.
  • Transformed durations into log space: $y = \ln(t)$.
  • Applied Log-IQR filtering: $[Q_1 - 1.5 \times \text{IQR}, Q_3 + 1.5 \times \text{IQR}]$ to eliminate frame glitches while preserving natural linguistic variance.

Phase 2: Tempo Normalization Against Master Reference

  • Standardized varying recitation speeds against Sheikh Al-Husary (and Dr. Ayman Sowaid for rare geminated tokens): $$S_{R,p} = \frac{\text{Median}(\text{Reference}, p)}{\text{Median}(R, p)}$$
  • Scaled all tokens: $t_{\text{norm}} = t_{\text{filtered}} \times S_{R,p}$.

Phase 3: Unified Token Pooling & Boundary Extraction (Option A)

  • Pooled 289,591 tempo-normalized tokens across all 7 Imams into unified distributions for all 70 phonemes.
  • Lower Bound Cutoff ($Min_{\text{valid}}$): $P_1$ (1st percentile) to remove 10–20 ms alignment boundary noise.
  • Target Center: $P_{50}$ (Median, aligned to reference).
  • Core Ideal Tier: $[Q_1, Q_3]$ (25th to 75th percentiles).
  • Custom Madd Vowel Rules (Option A):
    • **a: (Alif Madd):** Full empirical maximum preserved ($Max = 2,944.8\text{ ms} = 2.945\text{ s}$).
    • **i: (Yaa Madd):** Highest integer percentile $< 4.0\text{ s}$ ($P_{90} = 3,726.6\text{ ms} = 3.727\text{ s}$).
    • **u: (Waaw Madd):** Highest integer percentile $< 4.0\text{ s}$ ($P_{97} = 3,828.0\text{ ms} = 3.828\text{ s}$).
    • Other 67 Phonemes: Standard $P_{99}$ upper bound.

πŸ“Š Tajweed Grading Tier Definitions

Tier Range Tajweed Meaning
🟒 Green Tier (Master / Ideal Core) $[Q_1, Q_3]$ Ideal central target timing window
🟑 Yellow Tier (Permissible Tolerance) $[Min_{\text{valid}}, Max_{\text{valid}}]$ Valid allowable recitation timing
πŸ”΄ Red Tier (Tajweed Violation) $< Min_{\text{valid}}$ or $> Max_{\text{valid}}$ Under-elongated (dropped letter) or excessive elongation (TamαΉ­Δ«αΉ­)

πŸ“‚ Repository Contents

  • phase3_unified_phoneme_timings_optionA.csv: Master final lookup table for all 70 phonemes.
  • all_reciters_phase3_pooled_tokens.csv: Complete pooled token dataset ($N = 289,591$).
  • phase2_scaling_factors.csv: Reciter scaling factor matrix.
  • timing_lookuptable.md: Human-readable Markdown reference table.
  • Phase3_Unified_Plots/: 70 unified distribution histograms with annotated threshold lines.
  • Phase3_Boxplots_Vowels/: Per-Imam and pooled boxplots for Madds (a:, i:, u:).
  • Phase2_Comparative_Plots/: 70 multi-reciter comparative before/after normalization plots.
  • Scripts/: Reproducible Python scripts (run_phase1.py, run_phase2.py, run_phase3.py).
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