Scala analysis: CD13_01_Iraq
Toi aux paupières langoureuses - Ensemble de Muhammad Al-Qubbbânjî (dukah, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 127.084 cents 127.083558 2: 342.410 cents 342.410061 3: 554.292 cents 554.292349 4: 833.072 cents 833.071944 5: 1042.986 cents 1042.986037 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 157.0140 cents 157.0140 1: 127.0836 cents 127.0836 2: 215.3265 cents 215.3265 3: 211.8823 cents 211.8823 4: 278.7796 cents 278.7796 5: 209.9141 cents 209.9141 6: 157.0140 cents 157.0140
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 127.08356 cents 1: 1 157.01396 cents 1: 1 209.91409 cents 1: 1 211.88229 cents 1: 1 215.32650 cents 1: 1 278.77960 cents 2: 1 284.09752 cents 2: 1 342.41006 cents 2: 1 366.92806 cents 2: 1 427.20879 cents 2: 1 488.69369 cents 2: 1 490.66188 cents 3: 1 494.01161 cents 3: 1 499.42402 cents 3: 1 554.29235 cents 3: 1 645.70765 cents 3: 1 700.57598 cents 3: 1 705.98839 cents 4: 1 709.33812 cents 4: 1 711.30631 cents 4: 1 772.79121 cents 4: 1 833.07194 cents 4: 1 857.58994 cents 4: 1 915.90248 cents 5: 1 921.22040 cents 5: 1 984.67350 cents 5: 1 988.11771 cents 5: 1 990.08591 cents 5: 1 1042.98604 cents 5: 1 1072.91644 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 127.1 342.4 554.3 833.1 1043.0 1200.0 127.1 : 215.3 427.2 706.0 915.9 1072.9 1200.0 342.4 : 211.9 490.7 700.6 857.6 984.7 1200.0 554.3 : 278.8 488.7 645.7 772.8 988.1 1200.0 833.1 : 209.9 366.9 494.0 709.3 921.2 1200.0 1043.0: 157.0 284.1 499.4 711.3 990.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 127.0836 .. 278.7796 cents 151.69604 cents 127.08356 cents 2: 284.0975 .. 490.6619 cents 206.56436 cents 5.31793 cents 3: 494.0116 .. 705.9884 cents 211.97677 cents 3.34973 cents 4: 709.3381 .. 915.9025 cents 206.56436 cents 3.34973 cents 5: 921.2204 .. 1072.9164 cents 151.69604 cents 5.31793 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 127.08356 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 278.77960 cents Average / Smallest step : 1.573768 Largest / Average step : 1.393898 Largest / Smallest step : 2.193672 Median interval of one step : 210.89819 cents, amount: 0 Least squares average step : 200.24174 cents, oct.: 1201.45046 cents Scale is strictly proper Step pattern alph. order: ABCDEF Step pattern size order : AEDFCB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.34973 cents Scale diversity : 1.578476 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.226252 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 1.96820 cents Number of recognisable fifths : 4, average 706.8022 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 47.7217 c. M:-72.9164 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 1 2 1 1 P M ME SD: 26.9394 c. M:-44.3450 c. 10: 1 2 2 2 2 1 P D3 I SD: 25.3864 c. M:-45.7077 c. 13: 1 3 2 3 2 2 P SD: 21.1977 c. M: 34.7759 c. 16: 2 3 2 4 3 2 P SD: 20.6545 c. M:-32.5899 c. 17: 2 3 3 4 3 2 P SD: 12.0029 c. M:-15.8375 c. 26: 3 4 5 6 5 3 N SD: 11.9228 c. M: 19.3331 c. 28: 3 5 5 6 5 4 SP SD: 9.7574 c. M: 18.7862 c. 29: 3 5 5 7 5 4 P SD: 9.2030 c. M: 16.3613 c. 30: 3 6 5 7 5 4 P SD: 8.6513 c. M:-17.5899 c. 32: 3 6 6 7 6 4 P SD: 8.3517 c. M: 14.5836 c. 35: 4 6 6 8 6 5 SP SD: 8.6240 c. M: 14.4146 c. 36: 4 6 7 8 6 5 P SD: 7.8296 c. M:-12.3743 c. 37: 4 7 6 9 6 5 P SD: 7.6533 c. M:-14.3467 c. 39: 4 7 7 9 7 5 P SD: 2.8042 c. M: 4.0066 c. 56: 6 10 10 13 10 7 P SD: 3.3346 c. M:-7.0140 c. 69: 7 13 12 16 12 9 P SD: 3.3175 c. M:-5.4160 c. 76: 8 14 13 18 13 10 P SD: 2.6747 c. M:-4.9584 c. 84: 9 15 15 19 15 11 SP SD: 2.2661 c. M: 4.5005 c. 85: 9 15 15 20 15 11 P SD: 2.2196 c. M: 3.7041 c. 98: 10 18 17 23 17 13 P SD: 2.4923 c. M: 4.6346 c. 102: 11 18 18 24 18 13 P SD: 2.2470 c. M:-4.0728 c. 112: 12 20 20 26 19 15 P SD: 2.2808 c. M: 3.7003 c. 113: 12 20 20 26 20 15 SP SD: 2.5471 c. M: 4.7534 c. 115: 12 21 20 27 20 15 P SD: 1.4122 c. M:-1.9378 c. 130: 14 23 23 30 23 17 SP SD: 1.3466 c. M: 2.3027 c. 151: 16 27 27 35 26 20 P SD: 1.2942 c. M:-1.9990 c. 154: 16 28 27 36 27 20 P SD: 1.2209 c. M: 2.4082 c. 160: 17 29 28 37 28 21 SP SD: 1.1507 c. M:-2.5899 c. 182: 19 33 32 42 32 24 SP SD: 1.3217 c. M: 2.3027 c. 186: 20 33 33 43 33 24 SP SD: 1.2725 c. M:-2.1753 c. 189: 20 34 33 44 33 25 SP SD: 1.1949 c. M: 1.9114 c. 190: 20 34 34 44 33 25 P SD: 0.9852 c. M:-1.4971 c. 197: 21 35 35 46 34 26 P SD: 1.0259 c. M:-1.4458 c. 199: 21 36 35 46 35 26 SP SD: 0.7106 c. M:-1.3085 c. 206: 22 37 36 48 36 27 SP SD: 0.7811 c. M:-1.2793 c. 238: 25 43 42 55 42 31 SP SD: 0.7280 c. M: 1.1392 c. 245: 26 44 43 57 43 32 SP SD: 0.4472 c. M: 0.8230 c. 284: 30 51 50 66 50 37 SP SD: 0.5228 c. M: 0.7712 c. 379: 40 68 67 88 66 50 SP SD: 0.6121 c. M: 1.2974 c. 389: 41 70 69 90 68 51 SP SD: 0.4912 c. M:-0.9776 c. 396: 42 71 70 92 69 52 SP SD: 0.2840 c. M: 0.5618 c. 435: 46 78 77 101 76 57 SP SD: 0.2001 c. M: 0.3411 c. 634: 67 114 112 147 111 83 SP SD: 0.2083 c. M:-0.2818 c. 641: 68 115 113 149 112 84 SP SD: 0.1645 c. M: 0.2403 c. 680: 72 122 120 158 119 89 SP SD: 0.0944 c. M: 0.1747 c. 1115: 118 200 197 259 195 146 SP SD: 0.0958 c. M: 0.1679 c. 1132: 120 203 200 263 198 148 SP SD: 0.1057 c. M:-0.1436 c. 1321: 140 237 233 307 231 173 SP SD: 0.1030 c. M: 0.1667 c. 1377: 146 247 243 320 241 180 SP SD: 0.0953 c. M:-0.1512 c. 1567: 166 281 277 364 274 205 SP SD: 0.0868 c. M:-0.1429 c. 1756: 186 315 310 408 307 230 SP SD: 0.0777 c. M: 0.1614 c. 1795: 190 322 317 417 314 235 SP SD: 0.0853 c. M: 0.1259 c. 1812: 192 325 320 421 317 237 SP SD: 0.0425 c. M:-0.0688 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 65.5585 cents 3 x x 4:5 x 6 S SD: 25.3730 cents 4 x 5 x 6:7:8 S SD: 39.2260 cents 5 x 6:7:8:9:10 S SD: 10.0665 cents 6 x 7:8:10:11:12 S SD: 21.4857 cents 8:9:10:11:13:15:16 SD: 16.6206 cents 10:11:12:14:16:18:20 S SD: 10.5031 cents 13:14:16:18:21:24:26 S SD: 4.4822 cents 23:25:28:32:37:42:46 SD: 4.4281 cents 24:26:29:33:39:44:48 SD: 3.5582 cents 27:29:33:37:44:49:54 SD: 3.3029 cents 37:40:45:51:60:68:74 SD: 2.3806 cents 40:43:49:55:65:73:80 SD: 2.0410 cents 50:54:61:69:81:91:100 SD: 1.6323 cents 63:68:77:87:102:115:126 SD: 1.4351 cents 68:73:83:94:110:124:136 SD: 1.4242 cents 69:74:84:95:112:126:138 SD: 1.3976 cents 77:83:94:106:125:141:154 SD: 1.3853 cents 79:85:96:109:128:144:158 SD: 1.2107 cents 82:88:100:113:133:150:164 SD: 1.1724 cents 91:98:111:125:147:166:182 SD: 1.0431 cents 92:99:112:127:149:168:184 SD: 0.7693 cents 132:142:161:182:214:241:264 SD: 0.7058 cents 133:143:162:183:215:243:266 SD: 0.5071 cents 173:186:211:238:280:316:346 SD: 0.5021 cents 183:197:223:252:296:334:366 SD: 0.2741 cents 196:211:239:270:317:358:392 SD: 0.2279 cents 329:354:401:453:532:601:658 SD: 0.2125 cents 379:408:462:522:613:692:758 SD: 0.1974 cents 393:423:479:541:636:718:786 SD: 0.1893 cents 408:439:497:562:660:745:816 SD: 0.1851 cents 421:453:513:580:681:769:842 SD: 0.1173 cents 485:522:591:668:785:886:970 SD: 0.1125 cents