Scala analysis: CD12_23_Iraq
Purifie ton coeur avec des coupes de vin - 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: 139.284 cents 139.284320 2: 341.751 cents 341.750945 3: 458.974 cents 458.973729 4: 706.534 cents 706.533538 5: 828.733 cents 828.732998 6: 939.428 cents 939.428274 7: 1045.441 cents 1045.440503 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 154.5595 cents 154.5595 1: 139.2843 cents 139.2843 2: 202.4666 cents 202.4666 3: 117.2228 cents 117.2228 4: 247.5598 cents 247.5598 5: 122.1995 cents 122.1995 6: 110.6953 cents 110.6953 7: 106.0122 cents 106.0122 8: 154.5595 cents 154.5595
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 106.01223 cents 1: 1 110.69528 cents 1: 1 117.22278 cents 1: 1 122.19946 cents 1: 1 139.28432 cents 1: 1 154.55950 cents 1: 1 202.46663 cents 1: 1 247.55981 cents 2: 1 216.70751 cents 2: 1 232.89474 cents 2: 1 260.57173 cents 2: 1 293.84382 cents 2: 1 319.68941 cents 2: 1 341.75095 cents 2: 1 364.78259 cents 2: 1 369.75927 cents 3: 1 338.90697 cents 3: 1 371.26700 cents 3: 1 399.85605 cents 3: 1 458.97373 cents 3: 1 480.45454 cents 3: 1 486.98205 cents 3: 1 496.31044 cents 3: 1 567.24922 cents 4: 1 493.46646 cents 4: 1 510.55132 cents 4: 1 586.46677 cents 4: 1 597.67733 cents 4: 1 602.32267 cents 4: 1 613.53323 cents 4: 1 689.44868 cents 4: 1 706.53354 cents 5: 1 632.75078 cents 5: 1 703.68956 cents 5: 1 713.01795 cents 5: 1 719.54545 cents 5: 1 741.02627 cents 5: 1 800.14395 cents 5: 1 828.73300 cents 5: 1 861.09303 cents 6: 1 830.24073 cents 6: 1 835.21741 cents 6: 1 858.24905 cents 6: 1 880.31059 cents 6: 1 906.15618 cents 6: 1 939.42827 cents 6: 1 967.10526 cents 6: 1 983.29249 cents 7: 1 952.44019 cents 7: 1 997.53337 cents 7: 1 1045.44050 cents 7: 1 1060.71568 cents 7: 1 1077.80054 cents 7: 1 1082.77722 cents 7: 1 1089.30472 cents 7: 1 1093.98777 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 : 139.3 341.8 459.0 706.5 828.7 939.4 1045.4 1200.0 139.3 : 202.5 319.7 567.2 689.4 800.1 906.2 1060.7 1200.0 341.8 : 117.2 364.8 487.0 597.7 703.7 858.2 997.5 1200.0 459.0 : 247.6 369.8 480.5 586.5 741.0 880.3 1082.8 1200.0 706.5 : 122.2 232.9 338.9 493.5 632.8 835.2 952.4 1200.0 828.7 : 110.7 216.7 371.3 510.6 713.0 830.2 1077.8 1200.0 939.4 : 106.0 260.6 399.9 602.3 719.5 967.1 1089.3 1200.0 1045.4: 154.6 293.8 496.3 613.5 861.1 983.3 1094.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 106.0122 .. 247.5598 cents 141.54758 cents 106.01223 cents 2: 216.7075 .. 369.7593 cents 153.05176 cents -30.85230 cents 3: 338.9070 .. 567.2492 cents 228.34225 cents -30.85230 cents 4: 493.4665 .. 706.5335 cents 213.06708 cents -73.78276 cents 5: 632.7508 .. 861.0930 cents 228.34225 cents -73.78276 cents 6: 830.2407 .. 983.2925 cents 153.05176 cents -30.85230 cents 7: 952.4402 .. 1093.9878 cents 141.54758 cents -30.85230 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 106.01223 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 247.55981 cents Average / Smallest step : 1.414931 Largest / Average step : 1.650399 Largest / Smallest step : 2.335200 Median interval of one step : 130.74189 cents, amount: 0 Least squares average step : 155.51059 cents, oct.: 1244.08469 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : EGCHDBAF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.50773 cents Scale diversity : 1.588032 Lumma stability : 0.176687 Lumma impropriety factor : 0.225812 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 : 1.50773 cents Number of recognisable fifths : 5, average 706.4470 cents Number of appreciable fifths : 4, average 703.1724 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 2 1 0 1 1 N T3 SD: 36.1977 c. M:-71.2670 c. 9: 1 1 1 2 1 1 1 1 P M ME SD: 38.8163 c. M: 75.0843 c. 10: 1 2 1 2 1 1 1 1 N D3 SD: 19.5987 c. M:-34.5595 c. 14: 2 2 1 3 2 1 1 2 N SD: 20.9035 c. M:-32.1443 c. 15: 2 2 2 3 1 2 1 2 N SD: 18.7219 c. M: 28.7330 c. 17: 2 3 2 3 2 1 2 2 N SD: 17.1526 c. M:-35.1439 c. 18: 2 3 2 4 1 2 2 2 N SD: 16.5717 c. M: 28.7330 c. 19: 2 3 2 4 2 2 1 3 N SD: 18.0517 c. M: 34.9142 c. 21: 2 4 2 4 2 2 2 3 N SD: 18.7258 c. M: 28.7330 c. 22: 2 4 2 5 2 2 2 3 N SD: 15.7341 c. M: 30.1934 c. 23: 3 4 2 5 2 2 2 3 N SD: 14.0169 c. M:-23.9012 c. 24: 3 4 2 5 3 2 2 3 N SD: 10.5530 c. M:-21.2670 c. 25: 3 4 3 5 2 3 2 3 N SD: 13.1129 c. M:-21.0263 c. 26: 3 4 3 5 3 2 3 3 N SD: 11.6673 c. M: 18.6740 c. 29: 3 5 3 6 3 3 2 4 N SD: 8.9499 c. M: 15.1464 c. 32: 4 5 3 7 3 3 3 4 N SD: 5.9944 c. M:-10.7157 c. 41: 5 7 4 8 4 4 4 5 N SD: 7.1038 c. M:-9.4686 c. 42: 5 7 4 9 4 4 4 5 N SD: 5.3170 c. M:-11.7024 c. 49: 6 8 5 10 5 4 5 6 N SD: 5.7506 c. M: 8.8160 c. 52: 6 9 5 11 5 5 4 7 N SD: 5.0382 c. M:-8.8511 c. 54: 6 9 6 11 5 5 5 7 N SD: 5.7764 c. M: 8.4176 c. 55: 6 10 5 11 6 5 5 7 N SD: 4.9930 c. M: 8.3752 c. 60: 7 10 6 12 6 6 5 8 N SD: 4.3805 c. M: 8.7330 c. 61: 7 10 6 13 6 6 5 8 N SD: 4.1672 c. M: 7.3247 c. 68: 8 11 7 14 7 6 6 9 N SD: 3.1908 c. M: 6.4568 c. 70: 8 12 7 14 7 7 6 9 N SD: 3.1773 c. M: 5.8759 c. 75: 9 12 8 15 8 7 6 10 N SD: 4.3036 c. M: 5.7509 c. 77: 9 13 7 16 8 7 7 10 N SD: 3.6613 c. M: 7.0257 c. 78: 9 13 8 16 8 7 7 10 N SD: 1.7680 c. M: 3.2894 c. 123: 14 21 12 25 13 11 11 16 N SD: 2.0934 c. M: 4.0945 c. 129: 15 22 12 27 13 12 11 17 N SD: 1.9262 c. M: 3.5800 c. 138: 16 23 14 28 14 13 12 18 N SD: 1.8098 c. M: 2.6460 c. 139: 16 24 13 29 14 13 12 18 N SD: 1.6284 c. M:-3.5728 c. 148: 17 25 15 30 15 14 13 19 N SD: 1.5572 c. M:-3.1884 c. 155: 18 26 15 32 16 14 14 20 N SD: 1.4738 c. M: 2.6541 c. 162: 19 27 16 33 17 15 14 21 N SD: 1.3578 c. M: 2.8298 c. 165: 19 28 16 34 17 15 15 21 N SD: 1.0031 c. M:-1.8322 c. 207: 24 35 20 43 21 19 18 27 N SD: 0.8380 c. M: 1.9622 c. 217: 25 37 21 45 22 20 19 28 N SD: 0.7972 c. M:-1.3006 c. 277: 32 47 27 57 28 26 24 36 N SD: 0.7847 c. M: 1.3972 c. 285: 33 48 28 59 29 26 25 37 N SD: 0.6700 c. M: 1.2300 c. 319: 37 54 31 66 32 30 28 41 N SD: 0.6360 c. M: 1.1468 c. 326: 38 55 32 67 33 30 29 42 N SD: 0.6046 c. M:-1.1490 c. 350: 41 59 34 72 36 32 31 45 N SD: 0.7234 c. M:-1.2871 c. 355: 41 60 35 73 36 33 31 46 N SD: 0.5509 c. M: 0.9335 c. 372: 43 63 36 77 38 34 33 48 N SD: 0.4850 c. M: 0.9092 c. 387: 45 65 38 80 39 36 34 50 N SD: 0.4513 c. M: 0.8260 c. 397: 46 67 39 82 40 37 35 51 N SD: 0.4655 c. M:-0.7712 c. 450: 52 76 44 93 46 41 40 58 N SD: 0.4500 c. M: 0.7616 c. 474: 55 80 46 98 48 44 42 61 N SD: 0.4236 c. M: 0.8849 c. 489: 57 82 48 101 50 45 43 63 N SD: 0.4382 c. M:-0.7149 c. 510: 59 86 50 105 52 47 45 66 N SD: 0.5175 c. M: 0.7346 c. 520: 60 88 51 107 53 48 46 67 N SD: 0.3620 c. M: 0.8228 c. 526: 61 89 51 109 53 49 46 68 N SD: 0.4748 c. M:-0.6908 c. 533: 62 90 52 110 54 49 47 69 N SD: 0.4455 c. M: 0.7876 c. 544: 63 92 53 112 56 50 48 70 N SD: 0.3759 c. M:-0.6788 c. 552: 64 93 54 114 56 51 49 71 N SD: 0.2866 c. M: 0.4721 c. 724: 84 122 71 149 74 67 64 93 N SD: 0.2799 c. M: 0.4562 c. 769: 89 130 75 159 78 71 68 99 N SD: 0.2094 c. M: 0.4027 c. 853: 99 144 83 176 87 79 75 110 N SD: 0.2210 c. M: 0.3571 c. 870: 101 147 85 179 89 80 77 112 N SD: 0.2224 c. M:-0.3366 c. 902: 105 152 88 186 92 83 80 116 N SD: 0.1925 c. M:-0.4053 c. 931: 108 157 91 192 95 86 82 120 N SD: 0.1365 c. M:-0.2065 c. 1257: 146 212 123 259 128 116 111 162 N SD: 0.1022 c. M:-0.2148 c. 1422: 165 240 139 293 145 131 126 183 N SD: 0.1159 c. M: 0.2044 c. 1474: 171 249 144 304 150 136 130 190 N SD: 0.1132 c. M:-0.1850 c. 1506: 175 254 147 311 153 139 133 194 N SD: 0.1072 c. M:-0.2394 c. 1629: 189 275 159 336 166 150 144 210 N SD: 0.0969 c. M: 0.2018 c. 1639: 190 277 160 338 167 151 145 211 N SD: 0.1005 c. M: 0.1751 c. 1671: 194 282 163 345 170 154 148 215 N SD: 0.0903 c. M:-0.1609 c. 1833: 213 309 179 378 187 169 162 236 N SD: 0.0867 c. M:-0.1592 c. 1911: 222 322 187 394 195 176 169 246 N SD: 0.1000 c. M:-0.1524 c. 1948: 226 329 190 402 198 180 172 251 N SD: 0.0912 c. M: 0.1909 c. 2026: 235 342 198 418 206 187 179 261 N SD: 0.0637 c. M: 0.1052 c. 2050: 238 346 200 423 209 189 181 264 N SD: 0.0728 c. M:-0.1451 c. 2230: 259 376 218 460 227 206 197 287 N SD: 0.0728 c. M:-0.1233 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x 4 S SD: 2.2893 cents 3 x x 4 x x 5 x 6 S SD: 22.5073 cents 4 x 5 x 6 x 7 x 8 S SD: 13.3955 cents 5 x 6:7 x 8 x 9:10 S SD: 26.0347 cents 6 x 7:8:9 x 10:11:12 S SD: 16.8346 cents 7:8 x 9 x 11:12:13:14 SD: 18.1674 cents 8:9:10 x 12:13:14:15:16 S SD: 13.5683 cents 9:10:11:12:14 x 15:16:18 S SD: 15.8401 cents 10:11:12:13:15:16:17:18:20 SD: 6.6387 cents 14:15:17:18:21:23:24:26:28 SD: 6.4828 cents 20:22:24:26:30:32:34:37:40 SD: 6.1607 cents 22:24:27:29:33:36:38:40:44 SD: 4.6932 cents 23:25:28:30:35:37:40:42:46 SD: 3.5982 cents 24:26:29:31:36:39:41:44:48 SD: 3.4910 cents 32:35:39:42:48:52:55:59:64 SD: 3.4077 cents 33:36:40:43:50:53:57:60:66 SD: 3.0537 cents 36:39:44:47:54:58:62:66:72 SD: 1.1727 cents 82:89:100:107:123:132:141:150:164 SD: 0.9284 cents 83:90:101:108:125:134:143:152:166 SD: 0.6858 cents 119:129:145:155:179:192:205:218:238 SD: 0.4694 cents 165:179:201:215:248:266:284:302:330 SD: 0.3980 cents 215:233:262:280:323:347:370:393:430 SD: 0.3596 cents 228:247:278:297:343:368:392:417:456 SD: 0.3113 cents 274:297:334:357:412:442:471:501:548 SD: 0.3008 cents 297:322:362:387:447:479:511:543:594 SD: 0.2947 cents 311:337:379:405:468:502:535:569:622 SD: 0.2727 cents 322:349:392:420:484:520:554:589:644 SD: 0.2654 cents 347:376:423:452:522:560:597:635:694 SD: 0.2440 cents 357:387:435:465:537:576:614:653:714 SD: 0.2193 cents 393:426:479:512:591:634:676:719:786 SD: 0.2100 cents 440:477:536:574:662:710:757:805:880 SD: 0.2009 cents 441:478:537:575:663:712:759:807:882 SD: 0.1922 cents 454:492:553:592:683:733:781:830:908 SD: 0.1730 cents 468:507:570:610:704:755:805:856:936 SD: 0.1606 cents 490:531:597:639:737:791:843:896:980 SD: 0.1247 cents 550:596:670:717:827:888:946:1006:1100 SD: 0.1183 cents 573:621:698:747:862:925:986:1048:1146 SD: 0.0850 cents