Scala analysis: CD12_24_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (humayun, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 135.500 cents 135.500149 2: 347.980 cents 347.979749 3: 471.675 cents 471.674546 4: 609.647 cents 609.647436 5: 763.950 cents 763.950466 6: 836.073 cents 836.073045 7: 1047.142 cents 1047.141550 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 152.8585 cents 152.8585 1: 135.5001 cents 135.5001 2: 212.4796 cents 212.4796 3: 123.6948 cents 123.6948 4: 137.9729 cents 137.9729 5: 154.3030 cents 154.3030 6: 72.1226 cents 72.1226 7: 211.0685 cents 211.0685 8: 152.8585 cents 152.8585
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 72.12258 cents 1: 1 123.69480 cents 1: 1 135.50015 cents 1: 1 137.97289 cents 1: 1 152.85845 cents 1: 1 154.30303 cents 1: 1 211.06851 cents 1: 1 212.47960 cents 2: 1 226.42561 cents 2: 1 261.66769 cents 2: 1 283.19108 cents 2: 1 288.35860 cents 2: 1 292.27592 cents 2: 1 336.17440 cents 2: 1 347.97975 cents 2: 1 363.92696 cents 3: 1 364.39850 cents 3: 1 415.97072 cents 3: 1 436.04953 cents 3: 1 437.49411 cents 3: 1 471.67455 cents 3: 1 474.14729 cents 3: 1 499.42710 cents 3: 1 500.83820 cents 4: 1 488.09330 cents 4: 1 571.54968 cents 4: 1 575.46700 cents 4: 1 590.35256 cents 4: 1 609.64744 cents 4: 1 624.53300 cents 4: 1 628.45032 cents 4: 1 711.90670 cents 5: 1 699.16180 cents 5: 1 700.57290 cents 5: 1 725.85271 cents 5: 1 728.32545 cents 5: 1 762.50589 cents 5: 1 763.95047 cents 5: 1 784.02928 cents 5: 1 835.60150 cents 6: 1 836.07304 cents 6: 1 852.02025 cents 6: 1 863.82560 cents 6: 1 907.72408 cents 6: 1 911.64140 cents 6: 1 916.80892 cents 6: 1 938.33231 cents 6: 1 973.57439 cents 7: 1 987.52040 cents 7: 1 988.93149 cents 7: 1 1045.69697 cents 7: 1 1047.14155 cents 7: 1 1062.02711 cents 7: 1 1064.49985 cents 7: 1 1076.30520 cents 7: 1 1127.87742 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 135.5 348.0 471.7 609.6 764.0 836.1 1047.1 1200.0 135.5 : 212.5 336.2 474.1 628.5 700.6 911.6 1064.5 1200.0 348.0 : 123.7 261.7 416.0 488.1 699.2 852.0 987.5 1200.0 471.7 : 138.0 292.3 364.4 575.5 728.3 863.8 1076.3 1200.0 609.6 : 154.3 226.4 437.5 590.4 725.9 938.3 1062.0 1200.0 764.0 : 72.1 283.2 436.0 571.5 784.0 907.7 1045.7 1200.0 836.1 : 211.1 363.9 499.4 711.9 835.6 973.6 1127.9 1200.0 1047.1: 152.9 288.4 500.8 624.5 762.5 916.8 988.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 72.1226 .. 212.4796 cents 140.35702 cents 72.12258 cents 2: 226.4256 .. 363.9270 cents 137.50135 cents 13.94601 cents 3: 364.3985 .. 500.8382 cents 136.43970 cents 0.47154 cents 4: 488.0933 .. 711.9067 cents 223.81341 cents -12.74490 cents 5: 699.1618 .. 835.6015 cents 136.43970 cents -12.74490 cents 6: 836.0730 .. 973.5744 cents 137.50135 cents 0.47154 cents 7: 987.5204 .. 1127.8774 cents 140.35702 cents 13.94601 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 72.12258 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 212.47960 cents Average / Smallest step : 2.079793 Largest / Average step : 1.416531 Largest / Smallest step : 2.946090 Median interval of one step : 145.41567 cents, amount: 0 Least squares average step : 149.27086 cents, oct.: 1194.16684 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : CHBDFAGE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.47154 cents Scale diversity : 1.602624 Lumma stability : 0.144234 Lumma impropriety factor : 0.021242 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 0.47154 cents Number of recognisable fifths : 3, average 703.8805 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 30.3410 c. M:-63.9270 c. 9: 1 2 1 1 1 0 2 1 N SD: 39.9153 c. M:-61.6588 c. 10: 1 2 1 1 1 1 2 1 P D3 I SD: 21.1361 c. M: 43.9505 c. 14: 2 2 2 1 2 1 2 2 P D3 SD: 22.5571 c. M:-42.6112 c. 16: 2 3 1 2 2 1 3 2 N T3 I SD: 15.1187 c. M:-27.0203 c. 17: 2 3 2 2 2 1 3 2 P SD: 14.2837 c. M:-25.6467 c. 20: 2 4 2 2 3 1 3 3 N SD: 13.9499 c. M: 27.1415 c. 23: 3 4 2 3 3 1 4 3 N SD: 13.1195 c. M:-21.0216 c. 24: 3 4 2 3 3 2 4 3 P T3 I SD: 12.1137 c. M: 21.6745 c. 25: 3 4 3 3 3 1 5 3 N SD: 11.1179 c. M: 20.0730 c. 27: 3 5 3 3 3 2 5 3 P SD: 11.3926 c. M:-19.5251 c. 30: 3 6 3 3 4 2 5 4 N SD: 8.8682 c. M: 15.5001 c. 33: 4 6 3 4 4 2 6 4 N SD: 7.6906 c. M:-15.6566 c. 34: 4 6 3 4 5 2 6 4 P SD: 9.5457 c. M: 12.8510 c. 35: 4 6 4 4 4 2 7 4 N SD: 9.1480 c. M:-15.7156 c. 36: 4 6 4 4 5 2 6 5 P SD: 8.2380 c. M: 14.6464 c. 38: 4 7 4 4 5 2 7 5 N SD: 7.6607 c. M: 15.0204 c. 39: 4 7 4 5 5 2 7 5 P SD: 7.3957 c. M: 12.4232 c. 41: 5 7 4 5 5 3 7 5 P SD: 6.8660 c. M:-12.7074 c. 44: 5 8 4 5 6 3 7 6 N SD: 7.1223 c. M: 10.7779 c. 45: 5 8 5 5 6 2 8 6 N SD: 6.2932 c. M: 9.4064 c. 46: 5 8 5 5 6 3 8 6 P SD: 5.8284 c. M: 9.6474 c. 53: 6 9 6 6 7 3 9 7 P SD: 4.4161 c. M: 8.3571 c. 55: 6 10 6 6 7 3 10 7 N SD: 4.2143 c. M:-8.3255 c. 63: 7 11 7 7 8 4 11 8 P SD: 2.7351 c. M: 5.1226 c. 69: 8 12 7 8 9 4 12 9 N SD: 2.0990 c. M: 3.6633 c. 79: 9 14 8 9 10 5 14 10 N SD: 1.9171 c. M: 4.4568 c. 96: 11 17 10 11 12 6 17 12 N SD: 2.2245 c. M:-3.3255 c. 118: 13 21 12 14 15 7 21 15 N SD: 2.1639 c. M: 3.8779 c. 124: 14 22 13 14 16 7 22 16 N SD: 1.7786 c. M: 3.8150 c. 132: 15 23 14 15 17 8 23 17 N SD: 1.2026 c. M: 2.5252 c. 148: 17 26 15 17 19 9 26 19 N SD: 1.4036 c. M:-2.3377 c. 165: 19 29 17 19 21 10 29 21 N SD: 1.1899 c. M:-2.6817 c. 189: 21 34 19 22 24 12 33 24 N SD: 1.5032 c. M: 2.1668 c. 195: 22 35 20 22 25 12 34 25 N SD: 1.3759 c. M:-2.7895 c. 201: 23 35 21 23 26 12 35 26 N SD: 1.2454 c. M: 2.3654 c. 203: 23 36 21 23 26 12 36 26 N SD: 1.2360 c. M: 2.5755 c. 204: 23 36 21 24 26 12 36 26 N SD: 0.9835 c. M:-2.1173 c. 211: 24 37 22 24 27 13 37 27 N SD: 0.9653 c. M: 1.8652 c. 214: 24 38 22 25 27 13 38 27 N SD: 1.0022 c. M:-1.5675 c. 221: 25 39 23 25 29 13 39 28 N SD: 0.9021 c. M:-1.6604 c. 273: 31 48 28 32 35 16 48 35 N SD: 0.9555 c. M: 1.3449 c. 275: 31 49 28 32 35 17 48 35 N SD: 0.8804 c. M:-1.7451 c. 283: 32 50 29 33 36 17 50 36 N SD: 0.6229 c. M: 1.0032 c. 346: 39 61 36 40 44 21 61 44 N SD: 0.6111 c. M: 1.1589 c. 372: 42 66 38 43 48 22 66 47 N SD: 0.6005 c. M:-1.2455 c. 382: 43 68 39 44 49 23 67 49 N SD: 0.5785 c. M: 1.0683 c. 390: 44 69 40 45 50 24 68 50 N SD: 0.6662 c. M: 0.9877 c. 399: 45 71 41 46 51 24 70 51 N SD: 0.5158 c. M:-0.8924 c. 415: 47 73 43 48 53 25 73 53 N SD: 0.5183 c. M: 0.9918 c. 435: 49 77 45 50 56 26 77 55 N SD: 0.4515 c. M:-1.1343 c. 445: 50 79 46 51 57 27 78 57 N SD: 0.4927 c. M: 0.8494 c. 478: 54 85 49 55 61 29 84 61 N SD: 0.4840 c. M:-0.9742 c. 479: 54 85 49 55 62 29 84 61 N SD: 0.4786 c. M: 0.8792 c. 496: 56 88 51 57 64 30 87 63 N SD: 0.4661 c. M:-1.0237 c. 504: 57 89 52 58 65 30 89 64 N SD: 0.3002 c. M:-0.4775 c. 620: 70 110 64 71 80 37 109 79 N SD: 0.3226 c. M:-0.5835 c. 699: 79 124 72 80 90 42 123 89 N SD: 0.2536 c. M:-0.5181 c. 738: 83 131 76 85 95 44 130 94 N SD: 0.2472 c. M: 0.5408 c. 768: 87 136 79 88 99 46 135 98 N SD: 0.2778 c. M:-0.4578 c. 779: 88 138 80 90 100 47 137 99 N SD: 0.2592 c. M:-0.3840 c. 807: 91 143 83 93 104 48 142 103 N SD: 0.2486 c. M: 0.3853 c. 817: 92 145 84 94 105 49 144 104 N SD: 0.2106 c. M: 0.3716 c. 886: 100 157 91 102 114 53 156 113 N SD: 0.2137 c. M: 0.4071 c. 903: 102 160 93 104 116 54 159 115 N SD: 0.1643 c. M:-0.3193 c. 949: 107 168 98 109 122 57 167 121 N SD: 0.1762 c. M: 0.2459 c. 982: 111 174 101 113 126 59 173 125 N SD: 0.1678 c. M:-0.2891 c. 1035: 117 183 107 119 133 62 182 132 N SD: 0.1568 c. M:-0.2095 c. 1114: 126 197 115 128 143 67 196 142 N SD: 0.1415 c. M:-0.2270 c. 1382: 156 245 142 159 178 83 243 176 N SD: 0.1264 c. M:-0.2113 c. 1445: 163 256 149 166 186 87 254 184 N SD: 0.0950 c. M:-0.1899 c. 1514: 171 268 156 174 195 91 266 193 N SD: 0.0924 c. M: 0.1362 c. 1610: 182 285 166 185 207 97 283 205 N SD: 0.1088 c. M:-0.2002 c. 1728: 195 306 178 199 222 104 304 220 N SD: 0.0789 c. M: 0.1468 c. 2331: 263 413 240 268 300 140 410 297 N SD: 0.0743 c. M: 0.1236 c. 2348: 265 416 242 270 302 141 413 299 N SD: 0.0603 c. M:-0.1040 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 30.9977 cents 3 x x 4 x x 5 x 6 S SD: 18.3391 cents 4 x 5 x x 6 x 7:8 S SD: 26.7468 cents 5 x 6 x 7 x 8:9:10 S SD: 11.2360 cents 6 x 7:8 x 9:10:11:12 S SD: 19.3318 cents 7:8 x 9:10:11 x 13:14 SD: 17.8737 cents 8:9:10 x 11:12:13:15:16 SD: 17.5583 cents 9:10:11:12:13:14:15:16:18 S SD: 11.5662 cents 10:11:12:13:14 x 16:18:20 S SD: 9.4021 cents 12:13:15:16:17:19 x 22:24 SD: 8.1096 cents 13:14:16:17:18:20:21:24:26 S SD: 6.7833 cents 19:21:23:25:27:30:31:35:38 SD: 6.4903 cents 21:23:26:28:30:33:34:38:42 SD: 6.2228 cents 22:24:27:29:31:34:36:40:44 SD: 4.1385 cents 23:25:28:30:33:36:37:42:46 SD: 3.6072 cents 26:28:32:34:37:40:42:48:52 SD: 3.5482 cents 35:38:43:46:50:54:57:64:70 SD: 2.5910 cents 36:39:44:47:51:56:58:66:72 SD: 2.0527 cents 45:49:55:59:64:70:73:82:90 SD: 1.8631 cents 50:54:61:66:71:78:81:92:100 SD: 1.8290 cents 58:63:71:76:82:90:94:106:116 SD: 1.7755 cents 60:65:73:79:85:93:97:110:120 SD: 1.7603 cents 61:66:75:80:87:95:99:112:122 SD: 1.5930 cents 63:68:77:83:90:98:102:115:126 SD: 1.4623 cents 71:77:87:93:101:110:115:130:142 SD: 1.2271 cents 76:82:93:100:108:118:123:139:152 SD: 0.8562 cents 99:107:121:130:141:154:160:181:198 SD: 0.7934 cents 112:121:137:147:159:174:182:205:224 SD: 0.7413 cents 121:131:148:159:172:188:196:222:242 SD: 0.5729 cents 135:146:165:177:192:210:219:247:270 SD: 0.4435 cents 185:200:226:243:263:288:300:339:370 SD: 0.4101 cents 211:228:258:277:300:328:342:386:422 SD: 0.2677 cents 256:277:313:336:364:398:415:469:512 SD: 0.2141 cents 319:345:390:419:454:496:517:584:638 SD: 0.1783 cents 332:359:406:436:472:516:538:608:664 SD: 0.1224 cents 467:505:571:613:664:726:757:855:934 SD: 0.1045 cents