Scala analysis: CD11_13_Iraq
Ne me crois pas dupe / Soit bon avec la créature de dieu - Ensemble de Muhammad Al-Qubbbânjî (sikah, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 154.544 cents 154.544238 2: 283.368 cents 283.367619 3: 486.135 cents 486.135375 4: 596.106 cents 596.106167 5: 876.539 cents 876.539394 6: 979.507 cents 979.506604 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 220.4934 cents 220.4934 1: 154.5442 cents 154.5442 2: 128.8234 cents 128.8234 3: 202.7678 cents 202.7678 4: 109.9708 cents 109.9708 5: 280.4332 cents 280.4332 6: 102.9672 cents 102.9672 7: 220.4934 cents 220.4934
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 102.96721 cents 1: 1 109.97079 cents 1: 1 128.82338 cents 1: 1 154.54424 cents 1: 1 202.76776 cents 1: 1 220.49340 cents 1: 1 280.43323 cents 2: 1 283.36762 cents 2: 1 312.73855 cents 2: 1 323.46061 cents 2: 1 331.59114 cents 2: 1 375.03763 cents 2: 1 383.40044 cents 2: 1 390.40402 cents 3: 1 441.56193 cents 3: 1 478.00484 cents 3: 1 486.13538 cents 3: 1 493.37123 cents 3: 1 503.86102 cents 3: 1 593.17178 cents 3: 1 603.89383 cents 4: 1 596.10617 cents 4: 1 606.82823 cents 4: 1 696.13898 cents 4: 1 706.62877 cents 4: 1 713.86463 cents 4: 1 721.99516 cents 4: 1 758.43807 cents 5: 1 809.59598 cents 5: 1 816.59956 cents 5: 1 824.96237 cents 5: 1 868.40886 cents 5: 1 876.53939 cents 5: 1 887.26145 cents 5: 1 916.63238 cents 6: 1 919.56677 cents 6: 1 979.50660 cents 6: 1 997.23224 cents 6: 1 1045.45576 cents 6: 1 1071.17662 cents 6: 1 1090.02921 cents 6: 1 1097.03279 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 : 154.5 283.4 486.1 596.1 876.5 979.5 1200.0 154.5 : 128.8 331.6 441.6 722.0 825.0 1045.5 1200.0 283.4 : 202.8 312.7 593.2 696.1 916.6 1071.2 1200.0 486.1 : 110.0 390.4 493.4 713.9 868.4 997.2 1200.0 596.1 : 280.4 383.4 603.9 758.4 887.3 1090.0 1200.0 876.5 : 103.0 323.5 478.0 606.8 809.6 919.6 1200.0 979.5 : 220.5 375.0 503.9 706.6 816.6 1097.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 102.9672 .. 280.4332 cents 177.46602 cents 102.96721 cents 2: 283.3676 .. 390.4040 cents 107.03640 cents 2.93439 cents 3: 441.5619 .. 603.8938 cents 162.33190 cents 51.15791 cents 4: 596.1062 .. 758.4381 cents 162.33190 cents -7.78767 cents 5: 809.5960 .. 916.6324 cents 107.03640 cents 51.15791 cents 6: 919.5668 .. 1097.0328 cents 177.46602 cents 2.93439 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 102.96721 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 280.43323 cents Average / Smallest step : 1.664885 Largest / Average step : 1.635860 Largest / Smallest step : 2.723520 Median interval of one step : 154.54424 cents, amount: 1 Least squares average step : 165.88462 cents, oct.: 1161.19234 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : DCEBGAF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.93439 cents Scale diversity : 1.581906 Lumma stability : 0.261766 Lumma impropriety factor : 0.006490 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 : 2.93439 cents Number of recognisable fifths : 3, average 705.5441 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 162.3319 cents: 2 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 46.9494 c. M:-89.6081 c. Lebeng 8: 1 1 1 1 2 1 1 P M ME S SD: 31.9328 c. M:-70.4934 c. 10: 1 1 2 1 2 1 2 P M ME S SD: 26.3018 c. M: 43.3676 c. 12: 2 1 2 1 3 1 2 P D3 SD: 22.4265 c. M:-45.4558 c. Dorian flat 5, Blues Heptatonic, Makam Karcigar, Maqam Nahawand Murassah, Kiourdi ascending, Kartzihiar: Greece 14: 2 1 3 1 3 1 3 P T3 SD: 22.3601 c. M: 36.6495 c. 16: 2 2 2 2 4 1 3 P SD: 17.6834 c. M: 36.1354 c. 17: 2 2 3 1 4 2 3 N SD: 17.6259 c. M: 31.4003 c. 18: 2 2 3 2 4 2 3 P T3 S SD: 15.3086 c. M: 21.2109 c. 22: 3 2 4 2 5 2 4 P SD: 6.0203 c. M: 10.6403 c. 38: 5 4 6 4 9 3 7 P SD: 5.8711 c. M: 12.4512 c. 45: 6 5 7 4 11 4 8 N SD: 6.7514 c. M:-9.9657 c. 46: 6 5 8 4 11 4 8 P SD: 7.2725 c. M:-11.7977 c. 47: 6 5 8 4 11 4 9 N SD: 5.9256 c. M: 9.2938 c. 52: 7 5 9 5 12 4 10 P SD: 5.5248 c. M: 10.2758 c. 54: 7 6 9 5 12 5 10 P SD: 4.7012 c. M: 9.8727 c. 55: 7 6 9 5 13 5 10 N SD: 3.9660 c. M: 7.0153 c. 56: 7 6 10 5 13 5 10 P SD: 4.5773 c. M:-6.7218 c. 59: 8 6 10 5 14 5 11 N SD: 4.2480 c. M:-8.1676 c. 60: 8 6 10 6 14 5 11 P SD: 3.8938 c. M: 6.1354 c. 64: 8 7 11 6 15 5 12 P SD: 3.4776 c. M:-4.7106 c. 71: 9 8 12 6 17 6 13 N SD: 3.0337 c. M: 4.5569 c. 77: 10 8 13 7 18 7 14 N SD: 2.7771 c. M: 3.8984 c. 86: 11 9 15 8 20 7 16 P SD: 2.7719 c. M: 4.2979 c. 92: 12 10 15 9 21 8 17 P SD: 2.7475 c. M:-3.8938 c. 93: 12 10 16 8 22 8 17 N SD: 1.9452 c. M:-4.1872 c. 103: 13 11 18 9 24 9 19 N SD: 2.5592 c. M: 3.7560 c. 109: 14 12 18 10 26 9 20 N SD: 2.1280 c. M:-4.1946 c. 115: 15 12 20 10 27 10 21 N SD: 2.0233 c. M:-4.2994 c. 119: 15 13 20 11 28 10 22 N SD: 1.6895 c. M: 3.2837 c. 131: 17 14 22 12 31 11 24 N SD: 1.2636 c. M:-2.8499 c. 141: 18 15 24 13 33 12 26 N SD: 1.1934 c. M: 2.5166 c. 153: 20 16 26 14 36 13 28 N SD: 1.2415 c. M:-2.3185 c. 181: 23 20 30 17 42 16 33 N SD: 1.5607 c. M: 2.1575 c. 185: 24 20 31 17 43 16 34 N SD: 0.9803 c. M:-2.0378 c. 203: 26 22 34 19 47 18 37 N SD: 1.1731 c. M:-1.7742 c. 207: 27 22 35 19 48 18 38 N SD: 1.0336 c. M:-1.9775 c. 212: 27 23 36 19 50 18 39 N SD: 1.0248 c. M: 1.7665 c. 219: 28 24 37 20 51 19 40 N SD: 1.1433 c. M:-1.5639 c. 233: 30 25 39 22 54 20 43 N SD: 1.0523 c. M: 2.0152 c. 234: 30 25 40 21 55 20 43 N SD: 0.8436 c. M: 1.3163 c. 271: 35 29 46 25 63 23 50 N SD: 0.8269 c. M:-1.6798 c. 272: 35 29 46 25 64 23 50 N SD: 0.7557 c. M:-1.4018 c. 279: 36 30 47 26 65 24 51 N SD: 0.8834 c. M:-1.7433 c. 288: 37 31 49 26 67 25 53 N SD: 0.8076 c. M: 1.5394 c. 294: 38 31 50 27 69 25 54 N SD: 0.8075 c. M: 1.7350 c. 296: 38 32 50 27 69 26 54 N SD: 0.7356 c. M:-1.5745 c. 304: 39 33 51 28 71 26 56 N SD: 0.5076 c. M:-0.8429 c. 326: 42 35 55 30 76 28 60 N SD: 0.2575 c. M: 0.4658 c. 630: 81 68 106 58 147 54 116 N SD: 0.3336 c. M: 0.4590 c. 674: 87 72 114 62 157 58 124 N SD: 0.3226 c. M: 0.5750 c. 686: 88 74 116 63 160 59 126 N SD: 0.2888 c. M: 0.6084 c. 691: 89 74 117 63 162 59 127 N SD: 0.2699 c. M:-0.4505 c. 723: 93 78 122 66 169 62 133 N SD: 0.2487 c. M:-0.4498 c. 745: 96 80 126 68 174 64 137 N SD: 0.1909 c. M:-0.3076 c. 783: 101 84 132 72 183 67 144 N SD: 0.1821 c. M: 0.3116 c. 876: 113 94 148 80 205 75 161 N SD: 0.1721 c. M:-0.2503 c. 886: 114 95 150 81 207 76 163 N SD: 0.2000 c. M: 0.2976 c. 894: 115 96 151 82 209 77 164 N SD: 0.1907 c. M:-0.3592 c. 995: 128 107 168 91 233 85 183 N SD: 0.1906 c. M: 0.3273 c. 1017: 131 109 172 93 238 87 187 N SD: 0.1406 c. M: 0.2360 c. 1143: 147 123 193 105 267 98 210 N SD: 0.1287 c. M:-0.2193 c. 1165: 150 125 197 107 272 100 214 N SD: 0.1212 c. M:-0.2887 c. 1202: 155 129 203 110 281 103 221 N SD: 0.1176 c. M:-0.1979 c. 1343: 173 144 227 123 314 115 247 N SD: 0.1057 c. M: 0.2065 c. 1528: 197 164 258 140 357 131 281 N SD: 0.1159 c. M: 0.1872 c. 1562: 201 168 264 143 365 134 287 N SD: 0.0926 c. M:-0.1642 c. 1639: 211 176 277 150 383 141 301 N SD: 0.0912 c. M: 0.1514 c. 1715: 221 184 290 157 401 147 315 N SD: 0.1084 c. M:-0.1953 c. 1770: 228 190 299 162 414 152 325 N SD: 0.0939 c. M: 0.1740 c. 1888: 243 203 319 173 441 162 347 N SD: 0.0776 c. M:-0.1070 c. 2019: 260 217 341 185 472 173 371 N SD: 0.0757 c. M:-0.1391 c. 2041: 263 219 345 187 477 175 375 N SD: 0.0662 c. M:-0.0969 c. 2096: 270 225 354 192 490 180 385 N SD: 0.0599 c. M: 0.1138 c. 2367: 305 254 400 217 553 203 435 N SD: 0.0536 c. M:-0.0916 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: 52.9244 cents 3 x x 4 x 5 x 6 S SD: 4.7490 cents 4 x x 5:6 x 7:8 S SD: 36.4712 cents 5 x 6 x 7:8:9:10 S SD: 16.2822 cents 6 x 7:8 x 10:11:12 S SD: 14.6356 cents 7 x 8:9:10 x 12:14 S SD: 17.8196 cents 8:9 x x 11:13:14:16 SD: 15.3021 cents 9:10:11:12:13:15:16:18 SD: 11.9493 cents 10:11:12:13:14:17:18:20 SD: 10.6696 cents 12:13:14:16:17:20:21:24 SD: 4.2662 cents 22:24:26:29:31:37:39:44 SD: 4.0524 cents 29:32:34:38:41:48:51:58 SD: 3.7270 cents 32:35:38:42:45:53:56:64 SD: 3.4820 cents 33:36:39:44:47:55:58:66 SD: 3.2662 cents 34:37:40:45:48:56:60:68 SD: 2.2456 cents 44:48:52:58:62:73:77:88 SD: 2.1723 cents 46:50:54:61:65:76:81:92 SD: 2.0340 cents 55:60:65:73:78:91:97:110 SD: 1.8782 cents 56:61:66:74:79:93:99:112 SD: 1.4753 cents 68:74:80:90:96:113:120:136 SD: 1.3850 cents 73:80:86:97:103:121:129:146 SD: 1.3750 cents 74:81:87:98:104:123:130:148 SD: 1.3377 cents 83:91:98:110:117:138:146:166 SD: 1.1253 cents 95:104:112:126:134:158:167:190 SD: 0.9162 cents 105:115:124:139:148:174:185:210 SD: 0.8904 cents 108:118:127:143:152:179:190:216 SD: 0.8458 cents 117:128:138:155:165:194:206:234 SD: 0.4431 cents 129:141:152:171:182:214:227:258 SD: 0.3328 cents 226:247:266:299:319:375:398:452 SD: 0.3150 cents 287:314:338:380:405:476:505:574 SD: 0.2579 cents 309:338:364:409:436:513:544:618 SD: 0.2233 cents 343:375:404:454:484:569:604:686 SD: 0.1173 cents 472:516:556:625:666:783:831:944 SD: 0.0678 cents