Scala analysis: CD17_12_Tunisia
Ô amoureux, ces cheveux - L'ensemble de Muhammad Ghânim (rasd al-dhil, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 189.151 cents 189.150804 2: 366.296 cents 366.295833 3: 483.946 cents 483.946465 4: 684.677 cents 684.677172 5: 883.069 cents 883.069311 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 316.9307 cents 316.9307 1: 189.1508 cents 189.1508 2: 177.1450 cents 177.1450 3: 117.6506 cents 117.6506 4: 200.7307 cents 200.7307 5: 198.3921 cents 198.3921 6: 316.9307 cents 316.9307
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 117.65063 cents 1: 1 177.14503 cents 1: 1 189.15080 cents 1: 1 198.39214 cents 1: 1 200.73071 cents 1: 1 316.93069 cents 2: 1 294.79566 cents 2: 1 318.38134 cents 2: 1 366.29583 cents 2: 1 399.12285 cents 2: 1 506.08149 cents 2: 1 515.32283 cents 3: 1 483.94646 cents 3: 1 495.52637 cents 3: 1 516.77348 cents 3: 1 683.22652 cents 3: 1 704.47363 cents 3: 1 716.05354 cents 4: 1 684.67717 cents 4: 1 693.91851 cents 4: 1 800.87715 cents 4: 1 833.70417 cents 4: 1 881.61866 cents 4: 1 905.20434 cents 5: 1 883.06931 cents 5: 1 999.26929 cents 5: 1 1001.60786 cents 5: 1 1010.84920 cents 5: 1 1022.85497 cents 5: 1 1082.34937 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 189.2 366.3 483.9 684.7 883.1 1200.0 189.2 : 177.1 294.8 495.5 693.9 1010.8 1200.0 366.3 : 117.7 318.4 516.8 833.7 1022.9 1200.0 483.9 : 200.7 399.1 716.1 905.2 1082.3 1200.0 684.7 : 198.4 515.3 704.5 881.6 999.3 1200.0 883.1 : 316.9 506.1 683.2 800.9 1001.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 117.6506 .. 316.9307 cents 199.28006 cents 117.65063 cents 2: 294.7957 .. 515.3228 cents 220.52717 cents -22.13503 cents 3: 483.9465 .. 716.0535 cents 232.10707 cents -31.37636 cents 4: 684.6772 .. 905.2043 cents 220.52717 cents -31.37636 cents 5: 883.0693 .. 1082.3494 cents 199.28006 cents -22.13503 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 117.65063 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 316.93069 cents Average / Smallest step : 1.699948 Largest / Average step : 1.584653 Largest / Smallest step : 2.693829 Median interval of one step : 193.77147 cents, amount: 0 Least squares average step : 183.82019 cents, oct.: 1102.92113 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : CBAEDF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.45065 cents Scale diversity : 1.469826 Lumma stability : 0.196084 Lumma impropriety factor : 0.089186 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 1.45065 cents Number of recognisable fifths : 3, average 704.8152 cents Number of appreciable fifths : 2, average 699.1961 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 220.5272 cents: 5 -- Rational properties --
FIT/MODE
6: 1 1 0 1 1 2 N D3 SD: 61.0620 c. M: 84.6772 c. 7: 1 1 1 1 1 2 P M ME SD: 20.2368 c. M:-30.3392 c. 12: 2 2 1 2 2 3 P G D3 SD: 18.4067 c. M:-33.7042 c. Arezzo Major Diatonic Hexachord, Guidonian Hexachord, Scottish Hexatonic, Raga Kambhoji, Devarangini, Hem Kalyan, Sama (Syama) 19: 3 3 2 3 3 5 P G D3 SD: 10.9321 c. M:-21.3167 c. 23: 4 3 2 4 4 6 N SD: 10.3784 c. M:-19.5448 c. 26: 4 4 2 5 4 7 N SD: 10.2250 c. M: 22.4080 c. 27: 4 4 3 4 5 7 N SD: 10.2256 c. M: 18.0105 c. 30: 5 4 3 5 5 8 N SD: 5.8340 c. M:-10.8492 c. 37: 6 5 4 6 6 10 N SD: 5.6962 c. M: 9.5391 c. 39: 6 6 4 6 7 10 N SD: 6.3845 c. M:-9.2384 c. 42: 7 6 4 7 7 11 N SD: 5.0867 c. M:-10.8492 c. 45: 7 7 4 8 7 12 N SD: 5.0928 c. M:-8.6562 c. 49: 8 7 5 8 8 13 N SD: 3.7475 c. M:-6.7676 c. 65: 10 10 6 11 11 17 N SD: 3.0777 c. M: 4.5354 c. 72: 11 11 7 12 12 19 N SD: 2.4574 c. M: 5.8175 c. 75: 12 11 7 13 12 20 N SD: 2.8006 c. M: 3.9465 c. 82: 13 12 8 14 13 22 N SD: 2.4973 c. M: 5.0205 c. 95: 15 14 9 16 16 25 N SD: 1.9831 c. M: 3.9465 c. 102: 16 15 10 17 17 27 N SD: 1.4036 c. M: 2.3242 c. 114: 18 17 11 19 19 30 N SD: 1.0174 c. M:-2.1252 c. 121: 19 18 12 20 20 32 N SD: 0.9379 c. M:-2.0039 c. 151: 24 22 15 25 25 40 N SD: 1.0104 c. M:-1.5777 c. 196: 31 29 19 33 32 52 N SD: 0.8884 c. M: 1.4367 c. 216: 34 32 21 36 36 57 N SD: 0.6400 c. M: 1.3438 c. 223: 35 33 22 37 37 59 N SD: 0.6890 c. M: 1.2691 c. 265: 42 39 26 44 44 70 N SD: 0.6431 c. M:-1.0379 c. 298: 47 44 29 50 49 79 N SD: 0.5757 c. M: 1.1901 c. 337: 53 50 33 56 56 89 N SD: 0.5008 c. M: 0.9976 c. 344: 54 51 34 57 57 91 N SD: 0.6659 c. M: 0.9562 c. 367: 58 54 36 61 61 97 N SD: 0.5765 c. M: 1.2984 c. 370: 58 55 36 62 61 98 N SD: 0.6539 c. M: 1.0427 c. 380: 60 56 37 64 63 100 N SD: 0.6288 c. M:-1.1412 c. 382: 60 57 37 64 63 101 N SD: 0.6007 c. M:-1.2434 c. 386: 61 57 38 64 64 102 N SD: 0.6004 c. M:-1.0276 c. 387: 61 57 38 65 64 102 N SD: 0.4066 c. M:-0.6516 c. 489: 77 72 48 82 81 129 N SD: 0.3781 c. M: 0.6517 c. 501: 79 74 49 84 83 132 N SD: 0.3545 c. M:-0.7630 c. 508: 80 75 50 85 84 134 N SD: 0.2692 c. M:-0.3953 c. 603: 95 89 59 101 100 159 N SD: 0.2680 c. M:-0.5128 c. 610: 96 90 60 102 101 161 N SD: 0.2221 c. M: 0.3942 c. 652: 103 96 64 109 108 172 N SD: 0.2319 c. M:-0.4197 c. 659: 104 97 65 110 109 174 N SD: 0.2313 c. M:-0.4238 c. 724: 114 107 71 121 120 191 N SD: 0.1777 c. M:-0.3561 c. 754: 119 111 74 126 125 199 N SD: 0.2199 c. M: 0.3270 c. 773: 122 114 76 129 128 204 N SD: 0.2187 c. M:-0.4002 c. 799: 126 118 78 134 132 211 N SD: 0.1750 c. M: 0.3420 c. 806: 127 119 79 135 133 213 N SD: 0.1179 c. M: 0.1909 c. 920: 145 136 90 154 152 243 N SD: 0.1036 c. M:-0.2259 c. 1022: 161 151 100 171 169 270 N SD: 0.1137 c. M: 0.1891 c. 1143: 180 169 112 191 189 302 N SD: 0.1206 c. M: 0.1744 c. 1409: 222 208 138 236 233 372 N SD: 0.1069 c. M: 0.1991 c. 1458: 230 215 143 244 241 385 N SD: 0.0783 c. M:-0.1496 c. 1530: 241 226 150 256 253 404 N SD: 0.0629 c. M: 0.1312 c. 1674: 264 247 164 280 277 442 N SD: 0.0711 c. M:-0.0965 c. 1681: 265 248 165 281 278 444 N SD: 0.0549 c. M: 0.0852 c. 2378: 375 351 233 398 393 628 N SD: 0.0601 c. M:-0.1000 c. 2385: 376 352 234 399 394 630 N SD: 0.0582 c. M:-0.1027 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 8.6389 cents 3 x x 4 x 5:6 S SD: 4.7191 cents 4 x 5 x 6:7:8 S SD: 22.4352 cents 5 x 6:7 x 8:10 S SD: 32.6870 cents 6:7 x 8:9:10:12 S SD: 16.1733 cents 7:8 x 9:10:12:14 S SD: 21.1413 cents 8:9:10:11:12:13:16 SD: 14.2066 cents 9:10:11:12:13:15:18 SD: 8.9945 cents 16:18:20:21:24:27:32 SD: 6.6876 cents 18:20:22:24:27:30:36 S SD: 5.0034 cents 25:28:31:33:37:42:50 SD: 3.1666 cents 35:39:43:46:52:58:70 SD: 2.8555 cents 43:48:53:57:64:72:86 SD: 1.9554 cents 59:66:73:78:88:98:118 SD: 1.7252 cents 60:67:74:79:89:100:120 SD: 1.4797 cents 68:76:84:90:101:113:136 SD: 0.8841 cents 93:104:115:123:138:155:186 SD: 0.8278 cents 105:117:130:139:156:175:210 SD: 0.7490 cents 140:156:173:185:208:233:280 SD: 0.4482 cents 165:184:204:218:245:275:330 SD: 0.4067 cents 183:204:226:242:272:305:366 SD: 0.4003 cents 208:232:257:275:309:346:416 SD: 0.3641 cents 233:260:288:308:346:388:466 SD: 0.2066 cents 365:407:451:483:542:608:730 SD: 0.2054 cents 400:446:494:529:594:666:800 SD: 0.2026 cents 416:464:514:550:618:693:832 SD: 0.1498 cents 425:474:525:562:631:708:850 SD: 0.1461 cents 484:540:598:640:719:806:968 SD: 0.1199 cents 493:550:609:652:732:821:986 SD: 0.1106 cents 598:667:739:791:888:996:1196 SD: 0.0732 cents