Scala analysis: CD12_02_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (mukhalif, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 215.774 cents 215.773989 2: 352.190 cents 352.189868 3: 471.334 cents 471.333714 4: 697.384 cents 697.383819 5: 864.170 cents 864.170271 6: 1033.316 cents 1033.316157 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 166.6838 cents 166.6838 1: 215.7740 cents 215.7740 2: 136.4159 cents 136.4159 3: 119.1438 cents 119.1438 4: 226.0501 cents 226.0501 5: 166.7865 cents 166.7865 6: 169.1459 cents 169.1459 7: 166.6838 cents 166.6838
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 119.14385 cents 1: 1 136.41588 cents 1: 1 166.68384 cents 1: 1 166.78645 cents 1: 1 169.14589 cents 1: 1 215.77399 cents 1: 1 226.05011 cents 2: 1 255.55973 cents 2: 1 335.82973 cents 2: 1 335.93234 cents 2: 1 345.19395 cents 2: 1 352.18987 cents 2: 1 382.45783 cents 2: 1 392.83656 cents 3: 1 471.33371 cents 3: 1 481.60983 cents 3: 1 502.61618 cents 3: 1 511.98040 cents 3: 1 518.87371 cents 3: 1 551.60372 cents 3: 1 561.98244 cents 4: 1 638.01756 cents 4: 1 648.39628 cents 4: 1 681.12629 cents 4: 1 688.01960 cents 4: 1 697.38382 cents 4: 1 718.39017 cents 4: 1 728.66629 cents 5: 1 807.16344 cents 5: 1 817.54217 cents 5: 1 847.81013 cents 5: 1 854.80605 cents 5: 1 864.06766 cents 5: 1 864.17027 cents 5: 1 944.44028 cents 6: 1 973.94989 cents 6: 1 984.22601 cents 6: 1 1030.85411 cents 6: 1 1033.21355 cents 6: 1 1033.31616 cents 6: 1 1063.58412 cents 6: 1 1080.85615 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 : 215.8 352.2 471.3 697.4 864.2 1033.3 1200.0 215.8 : 136.4 255.6 481.6 648.4 817.5 984.2 1200.0 352.2 : 119.1 345.2 512.0 681.1 847.8 1063.6 1200.0 471.3 : 226.1 392.8 562.0 728.7 944.4 1080.9 1200.0 697.4 : 166.8 335.9 502.6 718.4 854.8 973.9 1200.0 864.2 : 169.1 335.8 551.6 688.0 807.2 1033.2 1200.0 1033.3: 166.7 382.5 518.9 638.0 864.1 1030.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 119.1438 .. 226.0501 cents 106.90626 cents 119.14385 cents 2: 255.5597 .. 392.8366 cents 137.27683 cents 29.50962 cents 3: 471.3337 .. 561.9824 cents 90.64873 cents 78.49716 cents 4: 638.0176 .. 728.6663 cents 90.64873 cents 76.03511 cents 5: 807.1634 .. 944.4403 cents 137.27683 cents 78.49716 cents 6: 973.9499 .. 1080.8562 cents 106.90626 cents 29.50962 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 119.14385 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 226.05011 cents Average / Smallest step : 1.438837 Largest / Average step : 1.318626 Largest / Smallest step : 1.897287 Median interval of one step : 166.78645 cents, amount: 1 Least squares average step : 171.74599 cents, oct.: 1202.22192 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : FBAGDEC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 29.50962 cents Scale diversity : 1.524294 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.441947 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 : 0.10261 cents Number of recognisable fifths : 3, average 701.2645 cents Number of appreciable fifths : 1, average 697.3838 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 96.6301 cents: 4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 24.2209 c. M: 44.3454 c. Lebeng 10: 2 1 1 2 1 2 1 P M ME S SD: 23.8988 c. M:-46.6838 c. Sethares Neutral, Beatles-7, Dichotic-7 14: 2 2 1 3 2 2 2 P T3 SD: 24.1729 c. M: 44.3454 c. 15: 3 1 2 3 2 2 2 P D3 SD: 18.9169 c. M: 32.1899 c. 17: 3 2 2 3 2 3 2 SP M ME S SD: 14.8872 c. M:-25.5074 c. Beatles-7, Dichotic-7 20: 4 2 2 4 2 3 3 P SD: 16.8862 c. M:-24.2260 c. 21: 4 2 2 4 3 3 3 P T3 S SD: 9.7125 c. M: 14.1909 c. 28: 5 3 3 5 4 4 4 SP T3 S SD: 6.5181 c. M: 11.6695 c. 38: 7 4 4 7 5 6 5 SP S SD: 6.2568 c. M: 11.5387 c. 43: 8 5 4 8 6 6 6 SP SD: 5.0628 c. M:-10.6008 c. 50: 9 6 5 9 7 7 7 SP SD: 4.4694 c. M:-8.6663 c. 51: 9 6 5 10 7 7 7 SP SD: 4.3838 c. M:-8.4985 c. 57: 10 7 5 11 8 8 8 SP SD: 4.4397 c. M: 8.1758 c. 64: 12 7 6 12 9 9 9 SP SD: 4.2852 c. M:-9.2260 c. 65: 12 7 7 12 9 9 9 SP S SD: 4.4769 c. M:-8.6663 c. 67: 12 8 6 13 9 10 9 SP SD: 4.1469 c. M:-6.0191 c. 71: 13 8 7 13 10 10 10 SP SD: 2.8423 c. M: 4.4261 c. 72: 13 8 7 14 10 10 10 SP SD: 2.4039 c. M: 4.6670 c. 79: 14 9 8 15 11 11 11 SP SD: 1.7966 c. M: 3.1158 c. 100: 18 11 10 19 14 14 14 SP SD: 2.1513 c. M: 4.1899 c. 107: 19 12 11 20 15 15 15 SP SD: 2.2298 c. M: 4.5263 c. 110: 20 12 11 21 15 16 15 SP SD: 2.2642 c. M: 3.0990 c. 115: 21 13 11 22 16 16 16 SP SD: 1.9969 c. M:-3.3564 c. 117: 21 13 12 22 16 17 16 SP SD: 1.9276 c. M: 3.4719 c. 122: 22 14 12 23 17 17 17 SP SD: 1.0601 c. M:-1.9085 c. 150: 27 17 15 28 21 21 21 SP SD: 0.7753 c. M: 1.3838 c. 222: 40 25 22 42 31 31 31 SP SD: 0.6867 c. M: 1.0634 c. 229: 41 26 23 43 32 32 32 SP SD: 0.7124 c. M: 1.0982 c. 239: 43 27 24 45 33 34 33 SP SD: 0.6013 c. M:-0.9935 c. 272: 49 31 27 51 38 38 38 SP SD: 0.6062 c. M: 0.9632 c. 344: 62 39 34 65 48 48 48 SP SD: 0.5332 c. M:-0.9460 c. 351: 63 40 35 66 49 49 49 SP SD: 0.4914 c. M: 0.8375 c. 361: 65 41 36 68 50 51 50 SP SD: 0.4282 c. M:-0.6884 c. 382: 69 43 38 72 53 54 53 SP SD: 0.4190 c. M:-0.9799 c. 389: 70 44 39 73 54 55 54 SP SD: 0.3669 c. M:-0.6457 c. 446: 80 51 44 84 62 63 62 SP SD: 0.4001 c. M: 0.5274 c. 461: 83 52 46 87 64 65 64 SP SD: 0.3342 c. M: 0.7799 c. 511: 92 58 51 96 71 72 71 SP SD: 0.2806 c. M:-0.6819 c. 583: 105 66 58 110 81 82 81 SP SD: 0.2465 c. M:-0.3863 c. 733: 132 83 73 138 102 103 102 SP SD: 0.2119 c. M:-0.3242 c. 807: 145 92 80 152 112 114 112 SP SD: 0.1472 c. M: 0.2298 c. 957: 172 109 95 180 133 135 133 SP SD: 0.1482 c. M: 0.2204 c. 1029: 185 117 102 194 143 145 143 SP SD: 0.0819 c. M: 0.1967 c. 1268: 228 144 126 239 176 179 176 SP SD: 0.0942 c. M: 0.1394 c. 1390: 250 158 138 262 193 196 193 SP SD: 0.0744 c. M:-0.1701 c. 1540: 277 175 153 290 214 217 214 SP SD: 0.0529 c. M:-0.0949 c. 2347: 422 267 233 442 326 331 326 SP SD: 0.0562 c. M:-0.0896 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: 2.2856 cents 3 x x 4 x 5 x 6 S SD: 11.1608 cents 4 x 5 x 6 x 7:8 S SD: 18.2762 cents 5 x 6:7 x 8:9:10 S SD: 25.6844 cents 6:7 x 8:9:10:11:12 S SD: 10.5546 cents 7:8 x 9:10:12:13:14 S SD: 19.8350 cents 8:9:10:11:12:13:15:16 SD: 15.1875 cents 9:10:11:12:13:15:16:18 SD: 12.2356 cents 10:11:12:13:15:16:18:20 SD: 11.9720 cents 12:14:15:16:18:20:22:24 S SD: 10.2766 cents 13:15:16:17:19:21:24:26 SD: 9.7889 cents 14:16:17:18:21:23:25:28 SD: 7.4552 cents 16:18:20:21:24:26:29:32 SD: 6.2259 cents 22:25:27:29:33:36:40:44 SD: 2.2220 cents 45:51:55:59:67:74:82:90 SD: 1.6787 cents 54:61:66:71:81:89:98:108 SD: 1.2426 cents 76:86:93:100:114:125:138:152 SD: 1.0455 cents 83:94:102:109:124:137:151:166 SD: 0.9792 cents 93:105:114:122:139:153:169:186 SD: 0.9350 cents 97:110:119:127:145:160:176:194 SD: 0.9081 cents 99:112:121:130:148:163:180:198 SD: 0.8202 cents 105:119:129:138:157:173:191:210 SD: 0.7672 cents 119:135:146:156:178:196:216:238 SD: 0.6195 cents 137:155:168:180:205:226:249:274 SD: 0.5296 cents 151:171:185:198:226:249:274:302 SD: 0.4967 cents 159:180:195:209:238:262:289:318 SD: 0.4258 cents 173:196:212:227:259:285:314:346 SD: 0.3030 cents 218:247:267:286:326:359:396:436 SD: 0.2920 cents 256:290:314:336:383:422:465:512 SD: 0.2664 cents 278:315:341:365:416:458:505:556 SD: 0.2288 cents 323:366:396:424:483:532:587:646 SD: 0.2148 cents 332:376:407:436:497:547:603:664 SD: 0.1891 cents 355:402:435:466:531:585:645:710 SD: 0.1523 cents 377:427:462:495:564:621:685:754 SD: 0.0879 cents 550:623:674:722:823:906:999:1100 SD: 0.0718 cents