Scala analysis: CD11_15_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (lami, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 147.102 cents 147.102244 2: 318.694 cents 318.693863 3: 490.291 cents 490.290737 4: 700.676 cents 700.675728 5: 933.185 cents 933.184706 6: 1023.498 cents 1023.498096 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 176.5019 cents 176.5019 1: 147.1022 cents 147.1022 2: 171.5916 cents 171.5916 3: 171.5969 cents 171.5969 4: 210.3850 cents 210.3850 5: 232.5090 cents 232.5090 6: 90.3134 cents 90.3134 7: 176.5019 cents 176.5019
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 90.31339 cents 1: 1 147.10224 cents 1: 1 171.59162 cents 1: 1 171.59687 cents 1: 1 176.50190 cents 1: 1 210.38499 cents 1: 1 232.50898 cents 2: 1 266.81529 cents 2: 1 318.69386 cents 2: 1 322.82237 cents 2: 1 323.60415 cents 2: 1 343.18849 cents 2: 1 381.98187 cents 2: 1 442.89397 cents 3: 1 413.91754 cents 3: 1 490.29074 cents 3: 1 495.19577 cents 3: 1 499.32427 cents 3: 1 533.20736 cents 3: 1 553.57348 cents 3: 1 614.49084 cents 4: 1 585.50916 cents 4: 1 646.42652 cents 4: 1 666.79264 cents 4: 1 700.67573 cents 4: 1 704.80423 cents 4: 1 709.70926 cents 4: 1 786.08246 cents 5: 1 757.10603 cents 5: 1 818.01813 cents 5: 1 856.81151 cents 5: 1 876.39585 cents 5: 1 877.17763 cents 5: 1 881.30614 cents 5: 1 933.18471 cents 6: 1 967.49102 cents 6: 1 989.61501 cents 6: 1 1023.49810 cents 6: 1 1028.40313 cents 6: 1 1028.40838 cents 6: 1 1052.89776 cents 6: 1 1109.68661 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 : 147.1 318.7 490.3 700.7 933.2 1023.5 1200.0 147.1 : 171.6 343.2 553.6 786.1 876.4 1052.9 1200.0 318.7 : 171.6 382.0 614.5 704.8 881.3 1028.4 1200.0 490.3 : 210.4 442.9 533.2 709.7 856.8 1028.4 1200.0 700.7 : 232.5 322.8 499.3 646.4 818.0 989.6 1200.0 933.2 : 90.3 266.8 413.9 585.5 757.1 967.5 1200.0 1023.5: 176.5 323.6 495.2 666.8 877.2 1109.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 90.3134 .. 232.5090 cents 142.19559 cents 90.31339 cents 2: 266.8153 .. 442.8940 cents 176.07867 cents 34.30632 cents 3: 413.9175 .. 614.4908 cents 200.57330 cents -28.97643 cents 4: 585.5092 .. 786.0825 cents 200.57330 cents -28.98169 cents 5: 757.1060 .. 933.1847 cents 176.07867 cents -28.97643 cents 6: 967.4910 .. 1109.6866 cents 142.19559 cents 34.30632 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 90.31339 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 232.50898 cents Average / Smallest step : 1.898152 Largest / Average step : 1.356302 Largest / Smallest step : 2.574469 Median interval of one step : 171.59687 cents, amount: 1 Least squares average step : 173.32127 cents, oct.: 1213.24886 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : BCDFGAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 28.97643 cents Scale diversity : 1.695649 Lumma stability : 0.207700 Lumma impropriety factor : 0.072445 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 : 0.00526 cents Number of recognisable fifths : 3, average 705.0631 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 33.3452 c. M: 76.0418 c. Lebeng 8: 1 1 1 2 1 1 1 P M ME I SD: 29.8033 c. M:-49.3243 c. 10: 1 2 1 2 2 1 1 N D3 SD: 31.2400 c. M:-56.5019 c. 12: 1 2 2 2 2 1 2 P D3 S SD: 24.8314 c. M: 47.1022 c. Mela Natakapriya, Jazz Minor inverse, Phrygian-Mixolydian, Dorian flat 2, Raga Natabharanam, Motaki, Ahiri Todi 14: 2 2 2 2 3 1 2 P T3 SD: 17.2979 c. M:-24.3263 c. 15: 2 2 2 3 3 1 2 N SD: 15.3006 c. M:-26.8153 c. 19: 2 3 3 3 4 1 3 N SD: 12.3601 c. M: 20.7865 c. 22: 3 3 3 4 4 2 3 P SD: 9.4010 c. M:-16.5341 c. 27: 3 4 4 5 5 2 4 N SD: 7.1673 c. M: 13.7689 c. 34: 4 5 5 6 6 3 5 P SD: 6.7547 c. M: 15.5376 c. 39: 5 5 6 7 7 3 6 N SD: 7.4432 c. M: 11.0016 c. 41: 5 6 6 7 8 3 6 N SD: 3.3704 c. M:-7.2702 c. 63: 8 9 9 11 12 5 9 N SD: 4.1571 c. M:-5.2787 c. 67: 8 10 9 12 13 5 10 N SD: 3.5477 c. M: 6.7086 c. 68: 8 10 10 12 13 5 10 N SD: 3.4313 c. M: 5.9258 c. 75: 9 11 11 13 14 6 11 N SD: 3.4249 c. M:-5.7093 c. 76: 9 11 11 13 15 6 11 N SD: 3.3777 c. M: 5.9389 c. 80: 10 11 12 14 15 6 12 N SD: 3.4907 c. M:-4.7093 c. 81: 10 12 11 14 16 6 12 N SD: 3.2992 c. M:-7.2321 c. 89: 11 13 12 16 17 7 13 N SD: 2.9101 c. M:-4.9016 c. 90: 11 13 13 16 17 7 13 N SD: 2.8562 c. M:-5.9909 c. 91: 11 13 13 16 18 7 13 N SD: 2.7543 c. M:-5.0733 c. 98: 12 14 14 17 19 8 14 N SD: 2.3939 c. M:-5.0733 c. 103: 13 14 15 18 20 8 15 N SD: 2.5080 c. M:-4.3541 c. 108: 13 16 15 19 21 8 16 N SD: 1.8356 c. M:-3.5284 c. 113: 14 16 16 20 22 8 17 N SD: 1.8417 c. M: 4.0291 c. 117: 14 17 17 20 23 9 17 N SD: 2.1405 c. M: 3.5125 c. 120: 15 17 17 21 23 9 18 N SD: 2.1720 c. M: 3.4981 c. 122: 15 17 18 21 24 9 18 N SD: 1.8975 c. M: 3.9398 c. 123: 15 18 17 22 24 9 18 N SD: 2.1659 c. M:-3.4007 c. 129: 16 18 19 22 25 10 19 N SD: 2.2068 c. M: 3.0013 c. 130: 16 19 18 23 25 10 19 N SD: 1.8301 c. M:-4.3831 c. 139: 17 20 20 24 27 11 20 N SD: 1.7412 c. M:-3.8400 c. 144: 18 20 21 25 28 11 21 N SD: 1.5645 c. M:-2.8978 c. 147: 18 21 21 26 28 11 22 N SD: 1.6216 c. M: 3.0899 c. 154: 19 22 22 27 30 11 23 N SD: 1.3742 c. M: 2.7189 c. 157: 19 23 22 28 30 12 23 N SD: 1.5800 c. M:-2.5090 c. 161: 20 23 23 28 31 12 24 N SD: 1.5915 c. M: 2.3801 c. 162: 20 23 23 29 31 12 24 N SD: 1.4096 c. M:-3.0280 c. 171: 21 24 25 30 33 13 25 N SD: 1.2929 c. M: 2.9044 c. 176: 22 25 25 31 34 13 26 N SD: 1.5045 c. M:-2.8978 c. 181: 22 26 26 32 35 13 27 N SD: 1.4696 c. M: 2.5036 c. 185: 23 26 27 32 36 14 27 N SD: 1.4602 c. M:-2.6822 c. 188: 23 27 27 33 36 14 28 N SD: 1.2181 c. M: 2.2215 c. 189: 23 27 27 33 37 14 28 N SD: 1.2764 c. M: 2.2630 c. 195: 24 28 28 34 38 14 29 N SD: 1.4903 c. M:-2.1999 c. 196: 24 28 28 34 38 15 29 N SD: 1.4869 c. M: 2.7165 c. 197: 24 28 28 35 38 15 29 N SD: 1.4633 c. M: 2.9811 c. 203: 25 29 29 36 39 15 30 N SD: 1.1888 c. M:-2.7725 c. 204: 25 29 29 36 40 15 30 N SD: 1.2089 c. M:-2.1094 c. 206: 25 30 29 36 40 16 30 N SD: 1.3651 c. M:-1.7446 c. 211: 26 30 30 37 41 16 31 N SD: 0.7214 c. M: 1.1912 c. 238: 29 34 34 42 46 18 35 N SD: 0.7122 c. M: 1.2151 c. 252: 31 36 36 44 49 19 37 N SD: 0.3784 c. M: 0.6757 c. 490: 60 70 70 86 95 37 72 N SD: 0.2661 c. M: 0.4948 c. 531: 65 76 76 93 103 40 78 N SD: 0.1439 c. M:-0.2307 c. 930: 114 133 133 163 180 70 137 N SD: 0.1491 c. M: 0.2815 c. 1021: 125 146 146 179 198 77 150 N SD: 0.1597 c. M:-0.2042 c. 1175: 144 168 168 206 228 88 173 N SD: 0.1297 c. M:-0.2621 c. 1182: 145 169 169 207 229 89 174 N SD: 0.1249 c. M: 0.1898 c. 1197: 147 171 171 210 232 90 176 N SD: 0.1295 c. M:-0.2662 c. 1420: 174 203 203 249 275 107 209 N SD: 0.1279 c. M: 0.2270 c. 1427: 175 204 204 250 277 107 210 N SD: 0.1232 c. M:-0.2421 c. 1435: 176 205 205 252 278 108 211 N SD: 0.1155 c. M: 0.2559 c. 1461: 179 209 209 256 283 110 215 N SD: 0.0728 c. M: 0.1252 c. 1951: 239 279 279 342 378 147 287 N SD: 0.0870 c. M: 0.1247 c. 1966: 241 281 281 345 381 148 289 N SD: 0.0842 c. M: 0.1585 c. 1992: 244 285 285 349 386 150 293 N SD: 0.0616 c. M: 0.1143 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: 0.6396 cents 3 x x 4 x 5 x 6 S SD: 16.4793 cents 4 x 5 x 6:7 x 8 S SD: 19.1121 cents 5 x 6:7:8 x 9:10 S SD: 29.2030 cents 6 x 7:8:9:10:11:12 S SD: 12.6933 cents 7:8 x 9:11:12:13:14 SD: 23.0539 cents 8:9:10:11:12:14 x 16 S SD: 18.8531 cents 9:10:11:12:13:15:16:18 SD: 13.8280 cents 10:11:12:13:15:17:18:20 SD: 6.1930 cents 20:22:24:27:30:34:36:40 SD: 5.4096 cents 21:23:25:28:31:36:38:42 SD: 4.8665 cents 24:26:29:32:36:41:43:48 SD: 3.0148 cents 34:37:41:45:51:58:61:68 SD: 2.3204 cents 45:49:54:60:67:77:81:90 SD: 2.2562 cents 46:50:55:61:69:79:83:92 SD: 1.5094 cents 68:74:82:90:102:117:123:136 SD: 1.4492 cents 70:76:84:93:105:120:126:140 SD: 1.2002 cents 80:87:96:106:120:137:144:160 SD: 1.1285 cents 88:96:106:117:132:151:159:176 SD: 0.8719 cents 98:107:118:130:147:168:177:196 SD: 0.8560 cents 104:113:125:138:156:178:188:208 SD: 0.6990 cents 134:146:161:178:201:230:242:268 SD: 0.4611 cents 168:183:202:223:252:288:303:336 SD: 0.4238 cents 192:209:231:255:288:329:347:384 SD: 0.3671 cents 217:236:261:288:325:372:392:434 SD: 0.3539 cents 238:259:286:316:357:408:430:476 SD: 0.2501 cents 315:343:379:418:472:540:569:630 SD: 0.2486 cents 336:366:404:446:504:576:607:672 SD: 0.2410 cents 351:382:422:466:526:602:634:702 SD: 0.1591 cents 361:393:434:479:541:619:652:722 SD: 0.1179 cents 553:602:665:734:829:948:999:1106 SD: 0.1067 cents 599:652:720:795:898:1027:1082:1198 SD: 0.0841 cents