Scala analysis: CD12_09_Iraq
Taqsîm, santûr - Ensemble de Muhammad Al-Qubbbânjî (awj, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 162.072 cents 162.072356 2: 293.853 cents 293.853115 3: 504.174 cents 504.173509 4: 674.345 cents 674.344685 5: 793.381 cents 793.381493 6: 993.862 cents 993.862104 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 206.1379 cents 206.1379 1: 162.0724 cents 162.0724 2: 131.7808 cents 131.7808 3: 210.3204 cents 210.3204 4: 170.1712 cents 170.1712 5: 119.0368 cents 119.0368 6: 200.4806 cents 200.4806 7: 206.1379 cents 206.1379
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 119.03681 cents 1: 1 131.78076 cents 1: 1 162.07236 cents 1: 1 170.17118 cents 1: 1 200.48061 cents 1: 1 206.13790 cents 1: 1 210.32039 cents 2: 1 289.20798 cents 2: 1 293.85312 cents 2: 1 319.51742 cents 2: 1 342.10115 cents 2: 1 368.21025 cents 2: 1 380.49157 cents 2: 1 406.61851 cents 3: 1 489.68860 cents 3: 1 499.52838 cents 3: 1 499.99101 cents 3: 1 504.17351 cents 3: 1 512.27233 cents 3: 1 525.65531 cents 3: 1 568.69086 cents 4: 1 631.30914 cents 4: 1 674.34469 cents 4: 1 687.72767 cents 4: 1 695.82649 cents 4: 1 700.00899 cents 4: 1 700.47162 cents 4: 1 710.31140 cents 5: 1 793.38149 cents 5: 1 819.50843 cents 5: 1 831.78975 cents 5: 1 857.89885 cents 5: 1 880.48258 cents 5: 1 906.14688 cents 5: 1 910.79202 cents 6: 1 989.67961 cents 6: 1 993.86210 cents 6: 1 999.51939 cents 6: 1 1029.82882 cents 6: 1 1037.92764 cents 6: 1 1068.21924 cents 6: 1 1080.96319 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 : 162.1 293.9 504.2 674.3 793.4 993.9 1200.0 162.1 : 131.8 342.1 512.3 631.3 831.8 1037.9 1200.0 293.9 : 210.3 380.5 499.5 700.0 906.1 1068.2 1200.0 504.2 : 170.2 289.2 489.7 695.8 857.9 989.7 1200.0 674.3 : 119.0 319.5 525.7 687.7 819.5 1029.8 1200.0 793.4 : 200.5 406.6 568.7 700.5 910.8 1081.0 1200.0 993.9 : 206.1 368.2 500.0 710.3 880.5 999.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 119.0368 .. 210.3204 cents 91.28359 cents 119.03681 cents 2: 289.2080 .. 406.6185 cents 117.41052 cents 78.88759 cents 3: 489.6886 .. 568.6909 cents 79.00227 cents 83.07009 cents 4: 631.3091 .. 710.3114 cents 79.00227 cents 62.61827 cents 5: 793.3815 .. 910.7920 cents 117.41052 cents 83.07009 cents 6: 989.6796 .. 1080.9632 cents 91.28359 cents 78.88759 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 119.03681 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 210.32039 cents Average / Smallest step : 1.440131 Largest / Average step : 1.226869 Largest / Smallest step : 1.766852 Median interval of one step : 170.17118 cents, amount: 1 Least squares average step : 166.35541 cents, oct.: 1164.48790 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CBGDAEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 62.61827 cents Scale diversity : 1.535455 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.520506 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 : 0.46263 cents Number of recognisable fifths : 5, average 698.8692 cents Number of appreciable fifths : 4, average 701.6546 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% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 33.7865 c. M:-63.7614 c. Lebeng 9: 1 1 2 1 1 1 2 P M ME S SD: 29.7173 c. M: 60.5288 c. Pseudo Pelog, Pelogic-7, Antiionian 10: 1 1 2 2 1 1 2 P D3 S SD: 39.0219 c. M: 53.8531 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 17.8621 c. M:-37.9276 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 14: 2 1 3 2 1 3 2 P T3 SD: 21.8873 c. M: 36.7103 c. 16: 2 2 3 2 2 2 3 SP M ME S SD: 16.7895 c. M:-31.6185 c. Pseudo Pelog, Pelogic-7, Antiionian 17: 2 2 3 2 2 3 3 SP D3 S SD: 18.9458 c. M: 39.0506 c. Safi al-Din's maqam Husaini 20: 3 2 3 3 2 4 3 P T3 SD: 16.9519 c. M:-26.1379 c. 21: 3 2 4 3 2 3 4 SP T3 SD: 11.5411 c. M: 22.4335 c. 23: 3 3 4 3 2 4 4 SP SD: 10.9907 c. M:-19.1904 c. 28: 4 3 5 4 3 4 5 SP T3 SD: 11.0855 c. M:-20.9042 c. 29: 4 3 5 4 3 5 5 SP SD: 6.4401 c. M: 12.2757 c. 36: 5 4 6 5 4 6 6 SP SD: 5.5644 c. M: 7.6780 c. 45: 6 5 8 6 5 7 8 SP SD: 4.8596 c. M: 7.6780 c. 50: 7 5 9 7 5 8 9 SP SD: 4.9870 c. M: 9.8621 c. 52: 7 6 9 7 5 9 9 SP SD: 4.7187 c. M: 8.7661 c. 53: 7 6 9 8 5 9 9 SP SD: 3.3861 c. M: 6.0603 c. 74: 10 8 13 11 7 12 13 SP SD: 3.2668 c. M:-6.7364 c. 82: 11 9 14 12 8 14 14 SP SD: 2.9058 c. M: 6.6125 c. 83: 11 9 15 12 8 14 14 SP SD: 3.3509 c. M:-5.1734 c. 86: 12 9 15 12 9 14 15 SP SD: 3.1115 c. M:-5.3695 c. 89: 12 10 15 13 9 15 15 SP SD: 2.8164 c. M: 5.2971 c. 91: 12 10 16 13 9 15 16 SP SD: 3.1554 c. M: 4.8511 c. 94: 13 10 17 13 9 16 16 SP SD: 3.1427 c. M:-6.4648 c. 95: 13 10 17 13 10 16 16 SP SD: 2.9908 c. M: 4.8710 c. 98: 13 11 17 14 10 16 17 SP SD: 1.8592 c. M: 2.8887 c. 110: 15 12 19 16 11 18 19 SP SD: 1.8020 c. M:-2.9821 c. 127: 17 14 22 18 13 21 22 SP SD: 2.0579 c. M: 3.4785 c. 133: 18 15 23 19 13 22 23 SP SD: 1.8601 c. M:-3.8912 c. 135: 18 15 24 19 13 23 23 SP SD: 1.7016 c. M:-2.4932 c. 139: 19 15 24 20 14 23 24 SP SD: 1.6325 c. M: 3.4541 c. 150: 20 17 26 21 15 25 26 SP SD: 1.6821 c. M: 2.3447 c. 157: 21 17 28 22 16 26 27 SP SD: 1.6695 c. M: 3.4073 c. 162: 22 18 28 23 16 27 28 SP SD: 1.1520 c. M:-2.4432 c. 171: 23 19 30 24 17 29 29 SP SD: 1.1906 c. M:-2.6291 c. 185: 25 20 33 26 18 31 32 SP SD: 1.3745 c. M: 2.0301 c. 192: 26 21 34 27 19 32 33 SP SD: 0.8522 c. M:-2.0765 c. 215: 29 24 37 31 21 36 37 SP SD: 1.1421 c. M:-1.9608 c. 221: 30 24 39 31 22 37 38 SP SD: 0.6808 c. M: 1.0415 c. 245: 33 27 43 35 24 41 42 SP SD: 0.6500 c. M:-1.5737 c. 274: 37 30 48 39 27 46 47 SP SD: 0.3813 c. M: 0.6808 c. 466: 63 51 82 66 46 78 80 SP SD: 0.2926 c. M:-0.5475 c. 564: 76 62 99 80 56 94 97 SP SD: 0.2172 c. M: 0.3702 c. 785: 106 86 138 111 78 131 135 SP SD: 0.2071 c. M: 0.3499 c. 838: 113 92 147 119 83 140 144 SP SD: 0.1653 c. M: 0.2970 c. 874: 118 96 153 124 87 146 150 SP SD: 0.1715 c. M: 0.2833 c. 1000: 135 110 175 142 99 167 172 SP SD: 0.1519 c. M: 0.2621 c. 1066: 144 117 187 151 106 178 183 SP SD: 0.1199 c. M:-0.2395 c. 1192: 161 131 209 169 118 199 205 SP SD: 0.1391 c. M: 0.2379 c. 1228: 166 135 215 174 122 205 211 SP SD: 0.1331 c. M:-0.2837 c. 1340: 181 147 235 190 133 224 230 SP SD: 0.0812 c. M:-0.1677 c. 1502: 203 165 263 213 149 251 258 SP SD: 0.0776 c. M:-0.1549 c. 1747: 236 192 306 248 173 292 300 SP SD: 0.0916 c. M:-0.1831 c. 1776: 240 195 311 252 176 297 305 SP SD: 0.0840 c. M: 0.1382 c. 1845: 249 203 323 262 183 308 317 SP SD: 0.1031 c. M:-0.1306 c. 1874: 253 206 328 266 186 313 322 SP SD: 0.0970 c. M: 0.2247 c. 1904: 257 209 334 270 189 318 327 SP SD: 0.0832 c. M: 0.1556 c. 1956: 264 215 343 277 194 327 336 SP SD: 0.0895 c. M: 0.1300 c. 1968: 266 216 345 279 195 329 338 SP SD: 0.0738 c. M:-0.1228 c. 2066: 279 227 362 293 205 345 355 SP SD: 0.0326 c. M: 0.0577 c. 2340: 316 257 410 332 232 391 402 SP SD: 0.0344 c. M: 0.0709 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: 13.8052 cents 3 x x 4 x 5 x 6 S SD: 30.3945 cents 4 x 5 x 6 x 7:8 S SD: 24.9225 cents 5 x 6:7 x 8:9:10 S SD: 17.4210 cents 6 x 7:8:9:10:11:12 S SD: 18.9188 cents 7 x 8:9:10:11:12:14 S SD: 20.9110 cents 8:9 x 11:12:13:14:16 SD: 14.5152 cents 9:10:11:12:13:14:16:18 S SD: 10.6499 cents 10:11:12:13:15:16:18:20 SD: 9.8117 cents 12:13:14:16:18:19:21:24 SD: 7.4392 cents 17:19:20:23:25:27:30:34 SD: 5.8283 cents 21:23:25:28:31:33:37:42 SD: 2.9203 cents 32:35:38:43:47:51:57:64 SD: 2.8854 cents 38:42:45:51:56:60:67:76 SD: 2.5381 cents 44:48:52:59:65:70:78:88 SD: 2.4055 cents 48:53:57:64:71:76:85:96 SD: 1.9045 cents 50:55:59:67:74:79:89:100 SD: 1.4905 cents 59:65:70:79:87:93:105:118 SD: 1.3446 cents 71:78:84:95:105:112:126:142 SD: 0.8602 cents 103:113:122:138:152:163:183:206 SD: 0.4924 cents 124:136:147:166:183:196:220:248 SD: 0.4124 cents 151:166:179:202:223:239:268:302 SD: 0.3899 cents 174:191:206:233:257:275:309:348 SD: 0.3657 cents 222:244:263:297:328:351:394:444 SD: 0.3245 cents 254:279:301:340:375:402:451:508 SD: 0.2398 cents 275:302:326:368:406:435:488:550 SD: 0.1817 cents 325:357:385:435:480:514:577:650 SD: 0.1736 cents 378:415:448:506:558:598:671:756 SD: 0.1711 cents 437:480:518:585:645:691:776:874 SD: 0.1608 cents 449:493:532:601:663:710:797:898 SD: 0.1284 cents 600:659:711:803:886:949:1065:1200 SD: 0.1271 cents