Scala analysis: CD15_01_husayni_Algeria
Lève-toi et fais circuler les coupes - L'ensemble d'Al-'Arabî Ben Sârî (husayni, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 207.922 cents 207.921708 2: 407.787 cents 407.786926 3: 491.349 cents 491.349270 4: 696.098 cents 696.097701 5: 909.282 cents 909.281561 6: 1008.754 cents 1008.753932 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 191.2461 cents 191.2461 1: 207.9217 cents 207.9217 2: 199.8652 cents 199.8652 3: 83.5623 cents 83.5623 4: 204.7484 cents 204.7484 5: 213.1839 cents 213.1839 6: 99.4724 cents 99.4724 7: 191.2461 cents 191.2461
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 83.56234 cents 1: 1 99.47237 cents 1: 1 191.24607 cents 1: 1 199.86522 cents 1: 1 204.74843 cents 1: 1 207.92171 cents 1: 1 213.18386 cents 2: 1 283.42756 cents 2: 1 288.31077 cents 2: 1 290.71844 cents 2: 1 312.65623 cents 2: 1 399.16778 cents 2: 1 407.78693 cents 2: 1 417.93229 cents 3: 1 488.17599 cents 3: 1 491.34927 cents 3: 1 498.64015 cents 3: 1 501.49463 cents 3: 1 503.90230 cents 3: 1 517.40466 cents 3: 1 599.03299 cents 4: 1 600.96701 cents 4: 1 682.59534 cents 4: 1 696.09770 cents 4: 1 698.50537 cents 4: 1 701.35985 cents 4: 1 708.65073 cents 4: 1 711.82401 cents 5: 1 782.06771 cents 5: 1 792.21307 cents 5: 1 800.83222 cents 5: 1 887.34377 cents 5: 1 909.28156 cents 5: 1 911.68923 cents 5: 1 916.57244 cents 6: 1 986.81614 cents 6: 1 992.07829 cents 6: 1 995.25157 cents 6: 1 1000.13478 cents 6: 1 1008.75393 cents 6: 1 1100.52763 cents 6: 1 1116.43766 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 : 207.9 407.8 491.3 696.1 909.3 1008.8 1200.0 207.9 : 199.9 283.4 488.2 701.4 800.8 992.1 1200.0 407.8 : 83.6 288.3 501.5 601.0 792.2 1000.1 1200.0 491.3 : 204.7 417.9 517.4 708.7 916.6 1116.4 1200.0 696.1 : 213.2 312.7 503.9 711.8 911.7 995.3 1200.0 909.3 : 99.5 290.7 498.6 698.5 782.1 986.8 1200.0 1008.8: 191.2 399.2 599.0 682.6 887.3 1100.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 83.5623 .. 213.1839 cents 129.62152 cents 83.56234 cents 2: 283.4276 .. 417.9323 cents 134.50473 cents 70.24370 cents 3: 488.1760 .. 599.0330 cents 110.85700 cents 70.24370 cents 4: 600.9670 .. 711.8240 cents 110.85700 cents 1.93401 cents 5: 782.0677 .. 916.5724 cents 134.50473 cents 70.24370 cents 6: 986.8161 .. 1116.4377 cents 129.62152 cents 70.24370 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 83.56234 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 213.18386 cents Average / Smallest step : 2.051505 Largest / Average step : 1.243573 Largest / Smallest step : 2.551195 Median interval of one step : 199.86522 cents, amount: 1 Least squares average step : 173.43475 cents, oct.: 1214.04328 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : FDAEGBC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.93401 cents Scale diversity : 1.475693 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.375028 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 : 1.93401 cents Number of recognisable fifths : 5, average 703.2875 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 127.2139 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 36.4353 c. M: 64.9298 c. Lebeng 8: 1 2 0 2 1 1 1 P D3 S SD: 40.6017 c. M: 57.9217 c. 9: 2 1 1 1 2 1 1 P M ME S SD: 37.9338 c. M:-58.7450 c. 10: 2 1 1 2 2 0 2 P D3 S SD: 35.7812 c. M:-50.7184 c. 12: 2 2 1 2 2 1 2 P M ME S SD: 7.3313 c. M: 9.2816 c. G.Hypophrygian, G.Ionian (Iastian), M.Mixolydian, G.M.Hypoionian, Hypermixolydian, Mischung 3, Khamaj That, Mela Harikambhoji, Raga Balahamsa, Bhim, Devamanohari, Harini, Janjhuti, Kaamaai, Khambhavati, Surati, Gregorian nr.7, Enharmonic Byzantine Liturgical, Rast descending: Greece, Ching, Shang: China 29: 5 5 2 5 5 2 5 N M DE S SD: 7.2140 c. M: 15.6505 c. 41: 7 7 3 7 7 3 7 N M DE S SD: 6.3429 c. M: 13.6320 c. 42: 7 7 3 7 8 3 7 P SD: 7.2173 c. M: 10.3834 c. 44: 8 7 3 8 7 4 7 P SD: 7.1937 c. M:-12.9932 c. 45: 8 7 3 8 8 4 7 SP SD: 6.0259 c. M: 11.3493 c. 46: 8 8 3 8 8 4 7 P SD: 6.1896 c. M:-9.6044 c. 50: 9 8 3 9 9 4 8 P SD: 5.3729 c. M: 11.3493 c. 54: 9 9 4 9 10 4 9 P SD: 6.1107 c. M: 8.7539 c. 56: 10 9 4 9 10 5 9 P SD: 5.8523 c. M: 10.3834 c. 57: 10 9 4 10 10 5 9 SP SD: 4.4645 c. M: 7.7869 c. 58: 10 10 4 10 10 5 9 P SD: 4.5473 c. M:-7.3506 c. 62: 11 10 4 11 11 5 10 P SD: 3.5544 c. M: 7.4783 c. 69: 12 11 5 12 12 6 11 SP SD: 3.8744 c. M: 7.7869 c. 70: 12 12 5 12 12 6 11 P SD: 3.8739 c. M:-6.7594 c. 71: 12 12 5 12 13 6 11 SP SD: 3.4216 c. M:-5.3306 c. 74: 13 12 5 13 13 6 12 P SD: 2.7175 c. M: 4.8628 c. 86: 15 14 6 15 15 7 14 P SD: 2.5420 c. M: 4.1028 c. 88: 15 15 6 15 16 7 14 P SD: 2.1641 c. M:-4.3548 c. 100: 17 17 7 17 18 8 16 P SD: 1.8445 c. M: 3.9217 c. 108: 19 18 7 19 19 9 17 P SD: 2.7100 c. M:-3.9023 c. 112: 19 19 8 19 20 9 18 P SD: 1.9410 c. M: 4.3503 c. 115: 20 19 8 20 20 10 18 SP SD: 1.8950 c. M:-3.4200 c. 120: 21 20 8 21 21 10 19 P SD: 2.0119 c. M:-3.9023 c. 127: 22 21 9 22 22 11 20 SP SD: 1.7683 c. M:-3.1149 c. 132: 23 22 9 23 23 11 21 P SD: 1.6318 c. M:-3.9023 c. 144: 25 24 10 25 25 12 23 P SD: 1.5525 c. M:-3.9023 c. 145: 25 24 10 25 26 12 23 SP SD: 1.6234 c. M: 3.0734 c. 152: 26 26 10 26 27 13 24 P SD: 1.8901 c. M:-2.7394 c. 156: 27 26 11 26 28 13 25 P SD: 1.6474 c. M: 3.7900 c. 157: 27 26 11 27 28 13 25 SP SD: 1.4543 c. M: 2.6914 c. 162: 28 27 11 28 29 13 26 P SD: 1.2907 c. M: 2.4604 c. 169: 29 28 12 29 30 14 27 SP SD: 1.5008 c. M: 3.0532 c. 174: 30 29 12 30 31 14 28 P SD: 1.1650 c. M: 1.8574 c. 186: 32 31 13 32 33 15 30 P SD: 1.2486 c. M: 2.3023 c. 195: 34 32 14 33 35 16 31 SP SD: 1.0855 c. M: 1.6331 c. 207: 36 34 15 35 37 17 33 SP SD: 1.0336 c. M: 1.9898 c. 215: 37 36 15 37 38 18 34 SP SD: 1.0036 c. M:-1.5767 c. 253: 44 42 18 43 45 21 40 SP SD: 1.1883 c. M:-1.9314 c. 256: 44 43 18 44 45 21 41 P SD: 1.1873 c. M:-2.3398 c. 259: 45 43 18 44 46 22 41 SP SD: 0.8159 c. M:-1.2847 c. 264: 46 44 18 45 47 22 42 P SD: 0.7392 c. M:-1.3040 c. 276: 48 46 19 47 49 23 44 P SD: 0.5308 c. M:-0.9087 c. 288: 50 48 20 49 51 24 46 P SD: 0.4949 c. M: 0.9482 c. 359: 62 60 25 61 64 30 57 SP SD: 0.4896 c. M: 0.8331 c. 371: 64 62 26 63 66 31 59 SP SD: 0.5014 c. M: 0.9136 c. 376: 65 63 26 64 67 31 60 P SD: 0.3852 c. M:-0.7237 c. 388: 67 65 27 66 69 32 62 P SD: 0.4102 c. M: 0.7052 c. 433: 75 72 30 74 77 36 69 SP SD: 0.4041 c. M: 0.8181 c. 445: 77 74 31 76 79 37 71 SP SD: 0.4140 c. M: 0.5959 c. 450: 78 75 31 77 80 37 72 P SD: 0.3961 c. M: 0.7539 c. 491: 85 82 34 84 87 41 78 SP SD: 0.3293 c. M:-0.6147 c. 503: 87 84 35 86 89 42 80 SP SD: 0.3187 c. M:-0.5226 c. 645: 112 107 45 110 115 53 103 SP SD: 0.3421 c. M:-0.4859 c. 647: 112 108 45 110 115 54 103 SP SD: 0.3220 c. M: 0.5799 c. 665: 115 111 46 114 118 55 106 SP SD: 0.3096 c. M: 0.5222 c. 686: 119 114 48 117 122 57 109 SP SD: 0.2924 c. M:-0.5755 c. 698: 121 116 49 119 124 58 111 SP SD: 0.2603 c. M:-0.4151 c. 703: 122 117 49 120 125 58 112 SP SD: 0.2965 c. M:-0.5335 c. 710: 123 118 50 121 126 59 113 SP SD: 0.2862 c. M:-0.4817 c. 715: 124 119 50 122 127 59 114 SP SD: 0.2686 c. M:-0.4058 c. 779: 135 130 54 133 138 65 124 SP SD: 0.2545 c. M:-0.4287 c. 809: 140 135 56 138 144 67 129 SP SD: 0.2423 c. M: 0.4240 c. 821: 142 137 57 140 146 68 131 SP SD: 0.2386 c. M: 0.3699 c. 879: 152 147 61 150 156 73 140 SP SD: 0.2357 c. M: 0.4132 c. 924: 160 154 64 158 164 77 147 SP SD: 0.2269 c. M: 0.4402 c. 936: 162 156 65 160 166 78 149 SP SD: 0.2113 c. M: 0.3236 c. 941: 163 157 65 161 167 78 150 SP SD: 0.1963 c. M: 0.3822 c. 953: 165 159 66 163 169 79 152 SP SD: 0.1814 c. M: 0.2685 c. 974: 169 162 68 166 173 81 155 SP SD: 0.1772 c. M:-0.2918 c. 986: 171 164 69 168 175 82 157 SP SD: 0.1732 c. M:-0.3343 c. 1074: 186 179 75 183 191 89 171 SP SD: 0.1537 c. M:-0.2708 c. 1136: 197 189 79 194 202 94 181 SP SD: 0.1254 c. M:-0.2255 c. 1148: 199 191 80 196 204 95 183 SP SD: 0.0841 c. M:-0.1261 c. 1436: 249 239 100 245 255 119 229 SP SD: 0.0819 c. M:-0.1563 c. 1795: 311 299 125 306 319 149 286 SP SD: 0.0736 c. M: 0.1646 c. 1927: 334 321 134 329 342 160 307 SP SD: 0.0777 c. M:-0.1140 c. 1969: 341 328 137 336 350 163 314 SP SD: 0.0923 c. M: 0.1355 c. 2015: 349 336 140 344 358 167 321 SP SD: 0.0876 c. M:-0.1535 c. 2027: 351 338 141 346 360 168 323 SP SD: 0.0766 c. M: 0.1269 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: 2.9286 cents 3 x x 4 x 5 x 6 S SD: 8.6022 cents 4 x 5 x 6 x 7:8 S SD: 11.4282 cents 5 x 6:7 x 8:9:10 S SD: 32.2603 cents 6:7 x 8:9:10:11:12 S SD: 12.7196 cents 7:8:9 x 10:12:13:14 S SD: 18.2547 cents 8:9:10:11:12 x 14:16 S SD: 12.5853 cents 10:11 x 13:15:17:18:20 SD: 9.7483 cents 14:16:18:19:21:24:25:28 SD: 8.2158 cents 15:17:19:20:22:25:27:30 SD: 6.2521 cents 16:18:20:21:24:27:29:32 SD: 5.3066 cents 22:25:28:29:33:37:39:44 SD: 4.2244 cents 30:34:38:40:45:51:54:60 SD: 2.5710 cents 39:44:49:52:58:66:70:78 SD: 2.4885 cents 45:51:57:60:67:76:81:90 SD: 2.2819 cents 46:52:58:61:69:78:82:92 SD: 1.9709 cents 48:54:61:64:72:81:86:96 SD: 1.7990 cents 49:55:62:65:73:83:88:98 SD: 1.6736 cents 61:69:77:81:91:103:109:122 SD: 1.3048 cents 71:80:90:94:106:120:127:142 SD: 1.0077 cents 95:107:120:126:142:161:170:190 SD: 0.8899 cents 101:114:128:134:151:171:181:202 SD: 0.6183 cents 125:141:158:166:187:211:224:250 SD: 0.5795 cents 143:161:181:190:214:242:256:286 SD: 0.5246 cents 158:178:200:210:236:267:283:316 SD: 0.3844 cents 204:230:258:271:305:345:365:408 SD: 0.2948 cents 259:292:328:344:387:438:464:518 SD: 0.2273 cents 305:344:386:405:456:516:546:610 SD: 0.1895 cents 384:433:486:510:574:649:688:768 SD: 0.1595 cents 430:485:544:571:643:727:770:860 SD: 0.1462 cents 463:522:586:615:692:783:829:926 SD: 0.0965 cents 588:663:744:781:879:994:1053:1176 SD: 0.0795 cents