Scala analysis: CD18_17_Tunisia
Celui qui a commis l'adultère est tranquille - L'ensemble de Muhammad Ghânim (unknown maqam, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 167.979 cents 167.979381 2: 351.805 cents 351.804714 3: 489.251 cents 489.251462 4: 714.208 cents 714.207792 5: 852.413 cents 852.413462 6: 1069.300 cents 1069.300380 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 130.6996 cents 130.6996 1: 167.9794 cents 167.9794 2: 183.8253 cents 183.8253 3: 137.4467 cents 137.4467 4: 224.9563 cents 224.9563 5: 138.2057 cents 138.2057 6: 216.8869 cents 216.8869 7: 130.6996 cents 130.6996
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 130.69962 cents 1: 1 137.44675 cents 1: 1 138.20567 cents 1: 1 167.97938 cents 1: 1 183.82533 cents 1: 1 216.88692 cents 1: 1 224.95633 cents 2: 1 298.67900 cents 2: 1 321.27208 cents 2: 1 347.58654 cents 2: 1 351.80471 cents 2: 1 355.09259 cents 2: 1 362.40308 cents 2: 1 363.16200 cents 3: 1 482.50433 cents 3: 1 485.79221 cents 3: 1 489.25146 cents 3: 1 500.60875 cents 3: 1 515.56592 cents 3: 1 546.22841 cents 3: 1 580.04892 cents 4: 1 619.95108 cents 4: 1 653.77159 cents 4: 1 684.43408 cents 4: 1 699.39125 cents 4: 1 710.74854 cents 4: 1 714.20779 cents 4: 1 717.49567 cents 5: 1 836.83800 cents 5: 1 837.59692 cents 5: 1 844.90741 cents 5: 1 848.19529 cents 5: 1 852.41346 cents 5: 1 878.72792 cents 5: 1 901.32100 cents 6: 1 975.04367 cents 6: 1 983.11308 cents 6: 1 1016.17467 cents 6: 1 1032.02062 cents 6: 1 1061.79433 cents 6: 1 1062.55325 cents 6: 1 1069.30038 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 168.0 351.8 489.3 714.2 852.4 1069.3 1200.0 168.0 : 183.8 321.3 546.2 684.4 901.3 1032.0 1200.0 351.8 : 137.4 362.4 500.6 717.5 848.2 1016.2 1200.0 489.3 : 225.0 363.2 580.0 710.7 878.7 1062.6 1200.0 714.2 : 138.2 355.1 485.8 653.8 837.6 975.0 1200.0 852.4 : 216.9 347.6 515.6 699.4 836.8 1061.8 1200.0 1069.3: 130.7 298.7 482.5 620.0 844.9 983.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 130.6996 .. 224.9563 cents 94.25671 cents 130.69962 cents 2: 298.6790 .. 363.1620 cents 64.48300 cents 73.72267 cents 3: 482.5043 .. 580.0489 cents 97.54458 cents 119.34233 cents 4: 619.9511 .. 717.4957 cents 97.54458 cents 39.90216 cents 5: 836.8380 .. 901.3210 cents 64.48300 cents 119.34233 cents 6: 975.0437 .. 1069.3004 cents 94.25671 cents 73.72267 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 130.69962 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 224.95633 cents Average / Smallest step : 1.311623 Largest / Average step : 1.312245 Largest / Smallest step : 1.721170 Median interval of one step : 167.97938 cents, amount: 1 Least squares average step : 173.38603 cents, oct.: 1213.70220 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DEBGCFA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 39.90216 cents Scale diversity : 1.440564 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.572860 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 0.75892 cents Number of recognisable fifths : 4, average 710.4608 cents Number of appreciable fifths : 3, average 708.1159 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 94.2567 cents: 2 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 21.4202 c. M: 40.7290 c. Lebeng 10: 1 2 1 2 1 2 1 P M ME I SD: 19.8455 c. M: 47.9794 c. 13: 2 2 1 3 1 3 1 N D3 S SD: 23.5405 c. M:-38.3919 c. 15: 2 2 2 3 2 2 2 SP M ME I SD: 20.0495 c. M: 31.8047 c. Miller's Porcupine-7 17: 2 3 2 3 2 3 2 SP M ME I SD: 11.6565 c. M: 26.8029 c. Neutral Dorian, Maqamic-7 20: 3 3 2 4 2 4 2 P D3 S SD: 9.2534 c. M: 12.4135 c. 27: 4 4 3 5 3 5 3 SP D3 S SD: 5.2132 c. M:-9.7984 c. 35: 5 5 4 7 4 6 4 SP SD: 6.2676 c. M: 9.2515 c. 37: 5 6 4 7 4 7 4 SP SD: 4.6525 c. M: 9.1702 c. 44: 6 7 5 8 5 8 5 SP SD: 4.4047 c. M: 6.9589 c. 52: 7 8 6 10 6 9 6 SP SD: 4.7599 c. M: 7.7619 c. 62: 9 9 7 12 7 11 7 SP SD: 3.8999 c. M:-6.2142 c. 64: 9 10 7 12 7 12 7 SP SD: 3.8116 c. M: 8.6635 c. 71: 10 11 8 13 8 13 8 SP SD: 3.8695 c. M: 7.3430 c. 72: 10 11 8 14 8 13 8 SP SD: 2.8986 c. M: 5.9181 c. 76: 11 11 9 14 9 14 8 SP SD: 3.4866 c. M:-5.7048 c. 79: 11 12 9 15 9 14 9 SP SD: 2.8330 c. M: 6.0092 c. 84: 12 13 9 16 10 15 9 SP SD: 3.3765 c. M:-5.3381 c. 86: 12 13 10 16 10 16 9 SP SD: 2.5152 c. M:-5.1182 c. 91: 13 14 10 17 11 16 10 SP SD: 2.9250 c. M:-4.7294 c. 93: 13 14 11 17 11 17 10 SP SD: 2.2938 c. M: 4.5304 c. 99: 14 15 11 19 11 18 11 SP SD: 2.5546 c. M: 4.4030 c. 101: 14 16 11 19 12 18 11 SP SD: 2.3794 c. M:-4.6309 c. 107: 15 16 13 20 12 19 12 SP SD: 2.9895 c. M:-4.2065 c. 108: 15 17 12 20 13 19 12 SP SD: 2.4589 c. M:-3.7508 c. 113: 16 17 13 21 13 21 12 SP SD: 2.1478 c. M:-3.2660 c. 120: 17 18 14 22 14 22 13 SP SD: 2.1354 c. M: 4.2078 c. 128: 18 20 14 24 15 23 14 SP SD: 1.9693 c. M:-4.4453 c. 129: 18 20 15 24 15 23 14 SP SD: 2.1851 c. M:-3.7718 c. 130: 18 20 15 24 15 24 14 SP SD: 2.0183 c. M: 3.4386 c. 138: 19 21 16 26 16 25 15 SP SD: 2.0774 c. M: 3.9786 c. 144: 20 22 17 27 16 26 16 SP SD: 2.0571 c. M: 2.6337 c. 145: 20 22 17 27 17 26 16 SP SD: 2.2012 c. M: 4.2185 c. 148: 21 22 17 28 17 27 16 SP SD: 1.9051 c. M: 3.1561 c. 149: 21 23 17 28 17 27 16 SP SD: 1.8355 c. M:-2.5707 c. 156: 22 24 18 29 18 28 17 SP SD: 1.6264 c. M:-3.0562 c. 165: 23 25 19 31 19 30 18 SP SD: 1.5250 c. M: 2.7138 c. 166: 23 26 19 31 19 30 18 SP SD: 1.5550 c. M:-2.4122 c. 177: 25 27 20 33 21 32 19 SP SD: 1.5330 c. M: 2.3434 c. 187: 26 29 21 35 22 34 20 SP SD: 1.4790 c. M:-2.3574 c. 191: 27 29 22 36 22 34 21 SP SD: 1.3706 c. M:-2.0368 c. 193: 27 30 22 36 22 35 21 SP SD: 1.2861 c. M:-2.5994 c. 201: 28 31 23 38 23 36 22 SP SD: 1.0677 c. M:-2.2101 c. 208: 29 32 24 39 24 37 23 SP SD: 1.1438 c. M: 1.9927 c. 221: 31 34 25 42 25 40 24 SP SD: 1.0892 c. M:-2.5343 c. 228: 32 35 26 43 26 41 25 SP SD: 0.7793 c. M:-1.5817 c. 245: 34 38 28 46 28 44 27 SP SD: 0.9510 c. M: 1.5453 c. 255: 36 39 29 48 29 46 28 SP SD: 0.9338 c. M:-1.4324 c. 265: 37 41 30 50 30 48 29 SP SD: 0.8759 c. M:-1.4028 c. 277: 39 42 32 52 32 50 30 SP SD: 0.7335 c. M:-1.0161 c. 287: 40 44 33 54 33 52 31 SP SD: 0.6497 c. M:-1.0829 c. 294: 41 45 34 55 34 53 32 SP SD: 0.4993 c. M: 0.7843 c. 314: 44 48 36 59 36 57 34 SP SD: 0.3572 c. M:-0.7633 c. 321: 45 49 37 60 37 58 35 SP SD: 0.2681 c. M:-0.4682 c. 635: 89 97 73 119 73 115 69 SP SD: 0.2083 c. M: 0.3087 c. 736: 103 113 84 138 85 133 80 SP SD: 0.2143 c. M:-0.3692 c. 815: 114 125 93 153 94 147 89 SP SD: 0.2195 c. M: 0.4171 c. 880: 123 135 101 165 101 159 96 SP SD: 0.2164 c. M:-0.3377 c. 956: 134 146 110 179 110 173 104 SP SD: 0.2018 c. M: 0.3403 c. 966: 135 148 111 181 111 175 105 SP SD: 0.2104 c. M: 0.2775 c. 993: 139 152 114 186 114 180 108 SP SD: 0.2028 c. M: 0.4497 c. 1030: 144 158 118 193 119 186 112 SP SD: 0.1928 c. M:-0.4021 c. 1050: 147 161 120 197 121 190 114 SP SD: 0.1900 c. M:-0.4139 c. 1057: 148 162 121 198 122 191 115 SP SD: 0.1141 c. M:-0.1882 c. 1371: 192 210 157 257 158 248 149 SP SD: 0.1198 c. M:-0.2839 c. 1378: 193 211 158 258 159 249 150 SP SD: 0.1002 c. M:-0.1535 c. 1415: 198 217 162 265 163 256 154 SP SD: 0.1025 c. M: 0.1442 c. 1450: 203 222 166 272 167 262 158 SP SD: 0.0679 c. M: 0.1480 c. 1764: 247 270 202 331 203 319 192 SP SD: 0.0813 c. M: 0.1358 c. 1771: 248 271 203 332 204 320 193 SP SD: 0.0668 c. M: 0.1390 c. 2193: 307 336 251 411 253 396 239 SP SD: 0.0749 c. M: 0.1175 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 6.1264 cents 3 x x 4 x 5 x 6 S SD: 11.0445 cents 4 x 5 x 6 x 7:8 S SD: 26.7350 cents 5 x 6:7 x 8:9:10 S SD: 23.8147 cents 6 x 7:8:9:10:11:12 S SD: 15.6872 cents 7:8 x 9:11 x 13:14 SD: 21.5371 cents 8:9:10:11:12:13:15:16 SD: 11.9398 cents 9:10:11:12:14:15:17:18 SD: 10.0044 cents 12:13:15:16:18:20:22:24 SD: 8.6909 cents 16:18:20:21:24:26:30:32 SD: 8.4204 cents 17:19:21:23:26:28:32:34 SD: 8.0960 cents 18:20:22:24:27:29:33:36 SD: 5.6563 cents 19:21:23:25:29:31:35:38 SD: 4.8439 cents 21:23:26:28:32:34:39:42 SD: 4.6794 cents 22:24:27:29:33:36:41:44 SD: 3.6438 cents 27:30:33:36:41:44:50:54 SD: 2.9980 cents 39:43:48:52:59:64:72:78 SD: 2.1732 cents 49:54:60:65:74:80:91:98 SD: 0.6636 cents 110:121:135:146:166:180:204:220 SD: 0.6458 cents 129:142:158:171:195:211:239:258 SD: 0.4493 cents 165:182:202:219:249:270:306:330 SD: 0.4432 cents 178:196:218:236:269:291:330:356 SD: 0.3501 cents 245:270:300:325:370:401:454:490 SD: 0.2872 cents 266:293:326:353:402:435:493:532 SD: 0.2652 cents 294:324:360:390:444:481:545:588 SD: 0.2192 cents 343:378:420:455:518:561:636:686 SD: 0.2155 cents 364:401:446:483:550:596:675:728 SD: 0.2048 cents 404:445:495:536:610:661:749:808 SD: 0.1769 cents 413:455:506:548:624:676:766:826 SD: 0.1281 cents 462:509:566:613:698:756:857:924 SD: 0.1004 cents