Scala analysis: CD13_07_husayni_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (husayni, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 172.974 cents 172.973595 2: 287.645 cents 287.644525 3: 490.134 cents 490.134445 4: 685.661 cents 685.661479 5: 753.578 cents 753.578022 6: 994.954 cents 994.953689 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 205.0463 cents 205.0463 1: 172.9736 cents 172.9736 2: 114.6709 cents 114.6709 3: 202.4899 cents 202.4899 4: 195.5270 cents 195.5270 5: 67.9165 cents 67.9165 6: 241.3757 cents 241.3757 7: 205.0463 cents 205.0463
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 67.91654 cents 1: 1 114.67093 cents 1: 1 172.97359 cents 1: 1 195.52703 cents 1: 1 202.48992 cents 1: 1 205.04631 cents 1: 1 241.37567 cents 2: 1 263.44358 cents 2: 1 287.64452 cents 2: 1 309.29221 cents 2: 1 317.16085 cents 2: 1 378.01991 cents 2: 1 398.01695 cents 2: 1 446.42198 cents 3: 1 465.93350 cents 3: 1 490.13445 cents 3: 1 492.69084 cents 3: 1 504.81924 cents 3: 1 512.68788 cents 3: 1 514.33852 cents 3: 1 619.39557 cents 4: 1 580.60443 cents 4: 1 685.66148 cents 4: 1 687.31212 cents 4: 1 695.18076 cents 4: 1 707.30916 cents 4: 1 709.86555 cents 4: 1 734.06650 cents 5: 1 753.57802 cents 5: 1 801.98305 cents 5: 1 821.98009 cents 5: 1 882.83915 cents 5: 1 890.70779 cents 5: 1 912.35548 cents 5: 1 936.55642 cents 6: 1 958.62433 cents 6: 1 994.95369 cents 6: 1 997.51008 cents 6: 1 1004.47297 cents 6: 1 1027.02641 cents 6: 1 1085.32907 cents 6: 1 1132.08346 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 : 173.0 287.6 490.1 685.7 753.6 995.0 1200.0 173.0 : 114.7 317.2 512.7 580.6 822.0 1027.0 1200.0 287.6 : 202.5 398.0 465.9 707.3 912.4 1085.3 1200.0 490.1 : 195.5 263.4 504.8 709.9 882.8 997.5 1200.0 685.7 : 67.9 309.3 514.3 687.3 802.0 1004.5 1200.0 753.6 : 241.4 446.4 619.4 734.1 936.6 1132.1 1200.0 995.0 : 205.0 378.0 492.7 695.2 890.7 958.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 67.9165 .. 241.3757 cents 173.45912 cents 67.91654 cents 2: 263.4436 .. 446.4220 cents 182.97840 cents 22.06791 cents 3: 465.9335 .. 619.3956 cents 153.46208 cents 19.51152 cents 4: 580.6044 .. 734.0665 cents 153.46208 cents -38.79115 cents 5: 753.5780 .. 936.5564 cents 182.97840 cents 19.51152 cents 6: 958.6243 .. 1132.0835 cents 173.45912 cents 22.06791 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 67.91654 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 241.37567 cents Average / Smallest step : 2.524106 Largest / Average step : 1.408025 Largest / Smallest step : 3.554004 Median interval of one step : 195.52703 cents, amount: 1 Least squares average step : 164.99232 cents, oct.: 1154.94621 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : CBEDAGF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 19.51152 cents Scale diversity : 1.697733 Lumma stability : 0.182493 Lumma impropriety factor : 0.032326 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 : 1.65064 cents Number of recognisable fifths : 4, average 699.9169 cents Number of appreciable fifths : 3, average 704.1185 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 0 2 1 N T3 SD: 36.5860 c. M: 67.8637 c. 8: 1 1 1 2 0 2 1 P D3 S SD: 36.7881 c. M:-64.3385 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 21.9300 c. M:-46.4220 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 13: 2 1 2 2 1 3 2 N T3 SD: 21.6300 c. M: 39.5076 c. 14: 2 1 3 2 1 3 2 P T3 SD: 20.5802 c. M:-33.6177 c. 16: 2 2 2 3 1 3 3 P T3 SD: 20.0565 c. M: 40.1344 c. 17: 2 2 3 3 1 3 3 SP D3 S SD: 17.0420 c. M: 31.7971 c. Dastgah-e Shur 19: 3 2 3 3 1 4 3 N SD: 15.2913 c. M:-28.1449 c. 22: 3 2 4 4 1 4 4 P SD: 12.7221 c. M:-23.4294 c. 25: 4 2 4 4 2 5 4 N SD: 12.1283 c. M:-19.0264 c. 28: 4 3 4 5 2 5 5 P SD: 11.3953 c. M: 18.7059 c. 29: 4 3 5 5 1 6 5 N SD: 8.4277 c. M:-17.7868 c. 30: 4 3 5 5 2 6 5 P SD: 7.8214 c. M: 12.9736 c. 34: 5 3 6 5 2 7 6 N SD: 8.3000 c. M: 15.0732 c. 35: 5 3 6 6 2 7 6 N SD: 6.3752 c. M: 13.3588 c. 37: 5 4 6 6 2 8 6 N SD: 6.9354 c. M: 10.8114 c. 41: 6 4 7 6 3 8 7 N SD: 6.5275 c. M: 12.4907 c. 42: 6 4 7 7 2 9 7 N SD: 4.8706 c. M: 10.7209 c. 46: 7 4 8 7 3 9 8 N SD: 5.3520 c. M:-9.6351 c. 49: 7 5 8 8 3 10 8 N SD: 4.7223 c. M:-9.1279 c. 51: 7 5 9 8 3 10 9 N SD: 4.9093 c. M: 8.2677 c. 53: 8 5 9 8 3 11 9 N SD: 6.0816 c. M:-8.1585 c. 54: 8 5 9 9 3 11 9 N SD: 3.0699 c. M:-5.0463 c. 75: 11 7 13 12 4 15 13 N SD: 2.9368 c. M:-5.8656 c. 83: 12 8 14 13 5 17 14 N SD: 2.7370 c. M: 6.1434 c. 88: 13 8 15 14 5 18 15 N SD: 2.6335 c. M:-4.2991 c. 100: 14 10 17 16 6 20 17 N SD: 2.3319 c. M: 4.9736 c. 105: 15 10 18 17 6 21 18 N SD: 1.1172 c. M: 1.9302 c. 159: 23 15 27 26 9 32 27 N SD: 0.8850 c. M:-1.2727 c. 245: 35 24 41 40 14 49 42 N SD: 0.8647 c. M: 1.5450 c. 250: 36 24 42 41 14 50 43 N SD: 0.6348 c. M: 1.3537 c. 291: 42 28 49 47 17 58 50 N SD: 0.8549 c. M: 1.1393 c. 292: 42 28 49 48 16 59 50 N SD: 0.7793 c. M: 1.5232 c. 299: 43 29 50 49 17 60 51 N SD: 0.7124 c. M:-1.3187 c. 304: 44 29 51 50 17 61 52 N SD: 0.6305 c. M:-1.1806 c. 326: 47 31 55 53 19 65 56 N SD: 0.7395 c. M: 1.0887 c. 333: 48 32 56 54 19 67 57 N SD: 0.4899 c. M: 0.9768 c. 387: 56 37 65 63 22 78 66 N SD: 0.4374 c. M:-0.7276 c. 409: 59 39 69 67 23 82 70 N SD: 0.4085 c. M:-0.8911 c. 438: 63 42 74 71 25 88 75 N SD: 0.3701 c. M: 0.7300 c. 487: 70 47 82 79 28 98 83 N SD: 0.4773 c. M: 0.6512 c. 492: 71 47 83 80 28 99 84 N SD: 0.1685 c. M: 0.2956 c. 742: 107 71 125 121 42 149 127 N SD: 0.1661 c. M: 0.3445 c. 889: 128 85 150 145 50 179 152 N SD: 0.1829 c. M: 0.3722 c. 901: 130 86 152 147 51 181 154 N SD: 0.1488 c. M:-0.2511 c. 943: 136 90 159 154 53 190 161 N SD: 0.1666 c. M: 0.2376 c. 1048: 151 100 177 171 59 211 179 N SD: 0.1417 c. M: 0.2399 c. 1234: 178 118 208 201 70 248 211 N SD: 0.1115 c. M:-0.1999 c. 1339: 193 128 226 218 76 269 229 N SD: 0.0930 c. M: 0.1815 c. 1381: 199 132 233 225 78 278 236 N SD: 0.0901 c. M: 0.2109 c. 1435: 207 137 242 234 81 289 245 N SD: 0.1030 c. M:-0.1683 c. 1486: 214 142 251 242 84 299 254 N SD: 0.1091 c. M: 0.1613 c. 1498: 216 143 253 244 85 301 256 N SD: 0.1044 c. M:-0.2271 c. 1540: 222 147 260 251 87 310 263 N SD: 0.0687 c. M: 0.1121 c. 1978: 285 189 334 322 112 398 338 N SD: 0.0734 c. M: 0.1205 c. 2032: 293 194 343 331 115 409 347 N SD: 0.0584 c. M:-0.1251 c. 2177: 314 208 367 355 123 438 372 N SD: 0.0731 c. M:-0.1086 c. 2228: 321 213 376 363 126 448 381 N SD: 0.0758 c. M: 0.1602 c. 2277: 328 218 384 371 129 458 389 N SD: 0.0633 c. M: 0.1146 c. 2282: 329 218 385 372 129 459 390 N SD: 0.0327 c. M:-0.0528 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: 8.1468 cents 3 x x 4 x x 5:6 S SD: 36.9592 cents 4 x 5 x 6 x 7:8 S SD: 25.8406 cents 5 x 6:7 x 8:9:10 S SD: 23.1889 cents 6 x 7:8:9 x 11:12 SD: 12.1983 cents 7 x 8:9:10:11:12:14 S SD: 20.7668 cents 8:9 x 11:12 x 14:16 SD: 15.0315 cents 9:10:11:12:13:14:16:18 S SD: 11.3013 cents 10:11:12:13:15 x 18:20 SD: 8.9997 cents 15:17:18:20:22:23:27:30 SD: 8.9960 cents 16:18:19:21:24:25:28:32 SD: 7.4779 cents 17:19:20:23:25:26:30:34 SD: 6.8625 cents 18:20:21:24:27:28:32:36 S SD: 4.4684 cents 22:24:26:29:33:34:39:44 SD: 4.3383 cents 27:30:32:36:40:42:48:54 S SD: 2.6751 cents 37:41:44:49:55:57:66:74 SD: 2.3385 cents 39:43:46:52:58:60:69:78 SD: 2.0012 cents 49:54:58:65:73:76:87:98 SD: 1.4466 cents 55:61:65:73:82:85:98:110 SD: 1.4346 cents 66:73:78:88:98:102:117:132 SD: 1.3047 cents 76:84:90:101:113:117:135:152 SD: 1.2458 cents 77:85:91:102:114:119:137:154 SD: 1.1413 cents 88:97:104:117:131:136:156:176 SD: 1.0578 cents 94:104:111:125:140:145:167:188 SD: 0.9156 cents 95:105:112:126:141:147:169:190 SD: 0.6809 cents 134:148:158:178:199:207:238:268 SD: 0.4637 cents 171:189:202:227:254:264:304:342 SD: 0.3354 cents 220:243:260:292:327:340:391:440 SD: 0.2782 cents 305:337:360:405:453:471:542:610 SD: 0.2699 cents 315:348:372:418:468:487:560:630 SD: 0.2175 cents 354:391:418:470:526:547:629:708 SD: 0.1553 cents 504:557:595:669:749:779:895:1008 SD: 0.1328 cents 541:598:639:718:804:836:961:1082 SD: 0.1180 cents