Scala analysis: CD15_03_Algeria
Le printemps est arrivé, ô homme - L'ensemble d'Al-'Arabî Ben Sârî (raml al-maya, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 193.820 cents 193.820389 2: 299.906 cents 299.905551 3: 495.611 cents 495.611445 4: 695.931 cents 695.931032 5: 843.907 cents 843.907435 6: 1010.248 cents 1010.247614 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 189.7524 cents 189.7524 1: 193.8204 cents 193.8204 2: 106.0852 cents 106.0852 3: 195.7059 cents 195.7059 4: 200.3196 cents 200.3196 5: 147.9764 cents 147.9764 6: 166.3402 cents 166.3402 7: 189.7524 cents 189.7524
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 106.08516 cents 1: 1 147.97640 cents 1: 1 166.34018 cents 1: 1 189.75239 cents 1: 1 193.82039 cents 1: 1 195.70589 cents 1: 1 200.31959 cents 2: 1 299.90555 cents 2: 1 301.79106 cents 2: 1 314.31658 cents 2: 1 348.29599 cents 2: 1 356.09257 cents 2: 1 383.57278 cents 2: 1 396.02548 cents 3: 1 489.65794 cents 3: 1 495.61145 cents 3: 1 502.11064 cents 3: 1 504.06897 cents 3: 1 514.63617 cents 3: 1 544.00188 cents 3: 1 549.91295 cents 4: 1 650.08705 cents 4: 1 655.99812 cents 4: 1 685.36383 cents 4: 1 695.93103 cents 4: 1 697.88936 cents 4: 1 704.38855 cents 4: 1 710.34206 cents 5: 1 803.97452 cents 5: 1 816.42722 cents 5: 1 843.90743 cents 5: 1 851.70401 cents 5: 1 885.68342 cents 5: 1 898.20894 cents 5: 1 900.09445 cents 6: 1 999.68041 cents 6: 1 1004.29411 cents 6: 1 1006.17961 cents 6: 1 1010.24761 cents 6: 1 1033.65982 cents 6: 1 1052.02360 cents 6: 1 1093.91484 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 : 193.8 299.9 495.6 695.9 843.9 1010.2 1200.0 193.8 : 106.1 301.8 502.1 650.1 816.4 1006.2 1200.0 299.9 : 195.7 396.0 544.0 710.3 900.1 1093.9 1200.0 495.6 : 200.3 348.3 514.6 704.4 898.2 1004.3 1200.0 695.9 : 148.0 314.3 504.1 697.9 804.0 999.7 1200.0 843.9 : 166.3 356.1 549.9 656.0 851.7 1052.0 1200.0 1010.2: 189.8 383.6 489.7 685.4 885.7 1033.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 106.0852 .. 200.3196 cents 94.23442 cents 106.08516 cents 2: 299.9056 .. 396.0255 cents 96.11993 cents 99.58596 cents 3: 489.6579 .. 549.9130 cents 60.25502 cents 93.63246 cents 4: 650.0870 .. 710.3421 cents 60.25502 cents 100.17409 cents 5: 803.9745 .. 900.0944 cents 96.11993 cents 93.63246 cents 6: 999.6804 .. 1093.9148 cents 94.23442 cents 99.58596 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 106.08516 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 200.31959 cents Average / Smallest step : 1.615952 Largest / Average step : 1.168531 Largest / Smallest step : 1.888290 Median interval of one step : 189.75239 cents, amount: 1 Least squares average step : 169.60866 cents, oct.: 1187.26064 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : EAFGBCD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 93.63246 cents Scale diversity : 1.472492 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.582318 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 : 1.88551 cents Number of recognisable fifths : 4, average 702.1378 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 96.1199 cents: 3 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 21.7462 c. M:-42.9516 c. Lebeng 12: 2 1 2 2 1 2 2 P M ME S SD: 17.3489 c. M: 43.9074 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 17: 3 1 3 3 2 2 3 SP D3 S SD: 13.2332 c. M: 22.0123 c. Dastgah-e Nava 19: 3 2 3 3 2 3 3 SP M ME S SD: 11.2643 c. M: 22.8548 c. Nineteen-tone Natural Minor, Aeolian 24: 4 2 4 4 3 3 4 SP D3 S SD: 5.5568 c. M: 10.2476 c. Dastgah-e Nava, Maqam Ushaq Masri 31: 5 3 5 5 4 4 5 SP D3 S SD: 5.7076 c. M:-9.7719 c. 43: 7 4 7 7 5 6 7 SP SD: 5.0234 c. M:-7.0712 c. 55: 9 5 9 9 7 7 9 SP D3 S SD: 4.9797 c. M:-7.0017 c. 56: 9 5 9 9 7 8 9 SP SD: 5.2054 c. M: 10.2167 c. 57: 9 5 9 10 7 8 9 SP SD: 5.0757 c. M: 11.4009 c. 61: 10 5 10 10 8 8 10 SP S SD: 4.6841 c. M: 7.4064 c. 63: 10 6 10 11 7 9 10 SP SD: 4.5856 c. M:-8.8309 c. 64: 10 6 10 11 8 9 10 SP SD: 4.0639 c. M: 8.1114 c. 68: 11 6 11 11 9 9 11 SP S SD: 3.5964 c. M: 7.6957 c. 72: 12 6 12 12 9 10 11 SP SD: 4.6650 c. M:-6.4191 c. 73: 12 6 12 12 9 10 12 SP SD: 4.6547 c. M: 7.5079 c. 75: 12 7 12 12 10 10 12 SP S SD: 3.8717 c. M: 7.9310 c. 80: 13 7 13 13 10 11 13 SP SD: 3.3755 c. M: 5.9310 c. 81: 13 7 13 14 10 11 13 SP SD: 3.1217 c. M: 6.7226 c. 83: 13 8 13 14 10 12 13 SP SD: 3.7850 c. M: 5.8686 c. 84: 14 7 14 14 10 12 13 SP SD: 3.6139 c. M:-6.1796 c. 87: 14 8 14 14 11 12 14 SP SD: 3.1838 c. M: 6.2759 c. 88: 14 8 14 15 11 12 14 SP SD: 2.2218 c. M: 4.7024 c. 95: 15 9 15 16 12 13 15 SP SD: 2.5539 c. M: 4.3467 c. 97: 16 8 16 16 12 14 15 SP SD: 2.9541 c. M:-4.1854 c. 100: 16 9 16 17 12 14 16 SP SD: 2.2894 c. M: 3.9074 c. 107: 17 10 17 18 13 15 17 SP SD: 2.1381 c. M: 3.1662 c. 112: 18 10 18 19 14 15 18 SP SD: 1.8810 c. M: 3.1048 c. 124: 20 11 20 21 15 17 20 SP SD: 1.8263 c. M: 3.7960 c. 128: 21 11 21 21 16 18 20 SP SD: 1.7234 c. M:-3.0546 c. 131: 21 12 21 22 16 18 21 SP SD: 1.5562 c. M: 2.6140 c. 141: 23 12 23 24 17 20 22 SP SD: 1.8423 c. M:-2.5183 c. 145: 23 13 24 24 18 20 23 SP SD: 1.5965 c. M: 3.4756 c. 148: 24 13 24 25 18 21 23 SP SD: 1.4450 c. M:-3.2659 c. 159: 26 14 26 26 20 22 25 SP SD: 1.7546 c. M:-2.5018 c. 165: 27 14 27 28 20 23 26 SP SD: 1.5191 c. M:-2.5432 c. 169: 27 15 28 28 21 23 27 SP SD: 1.4287 c. M: 2.1044 c. 172: 28 15 28 29 21 24 27 SP SD: 1.0307 c. M:-1.7434 c. 179: 29 16 29 30 22 25 28 SP SD: 1.2031 c. M:-2.0429 c. 196: 32 17 32 33 24 27 31 SP SD: 1.1711 c. M:-2.0980 c. 203: 33 18 33 34 25 28 32 SP SD: 1.1862 c. M:-1.6059 c. 209: 34 18 34 35 26 29 33 SP SD: 1.1094 c. M: 1.8315 c. 216: 35 19 35 36 27 30 34 SP SD: 0.8455 c. M: 1.4866 c. 235: 38 21 38 39 29 33 37 SP SD: 0.9750 c. M: 1.4629 c. 240: 39 21 39 40 30 33 38 SP SD: 0.7460 c. M:-1.1796 c. 259: 42 23 42 43 32 36 41 SP SD: 0.7148 c. M:-1.2528 c. 279: 45 25 45 47 34 39 44 SP SD: 0.7735 c. M:-1.1697 c. 297: 48 26 49 49 37 41 47 SP SD: 0.7532 c. M:-1.3583 c. 303: 49 27 49 51 37 42 48 SP SD: 0.6540 c. M:-1.0987 c. 317: 51 28 52 53 39 44 50 SP SD: 0.5398 c. M: 0.8519 c. 341: 55 30 56 57 42 47 54 SP SD: 0.5677 c. M:-0.8432 c. 373: 60 33 61 62 46 52 59 SP SD: 0.6799 c. M: 1.0249 c. 385: 62 34 63 64 48 53 61 SP SD: 0.5708 c. M: 0.8661 c. 397: 64 35 65 66 49 55 63 SP SD: 0.5203 c. M: 0.7169 c. 404: 65 36 66 67 50 56 64 SP SD: 0.5030 c. M: 0.8815 c. 428: 69 38 70 71 53 59 68 SP SD: 0.4988 c. M: 0.9018 c. 448: 72 40 73 75 55 62 71 SP SD: 0.4466 c. M: 0.9632 c. 519: 84 46 84 87 64 72 82 SP SD: 0.4309 c. M: 0.8138 c. 533: 86 47 87 89 66 74 84 SP SD: 0.3684 c. M:-0.6342 c. 545: 88 48 89 91 67 76 86 SP SD: 0.3370 c. M: 0.6047 c. 552: 89 49 90 92 68 77 87 SP SD: 0.3330 c. M:-0.6220 c. 557: 90 49 91 93 69 77 88 SP SD: 0.2986 c. M:-0.6168 c. 569: 92 50 93 95 70 79 90 SP SD: 0.2193 c. M: 0.4328 c. 576: 93 51 94 96 71 80 91 SP SD: 0.1342 c. M:-0.2219 c. 1133: 183 100 185 189 140 157 179 SP SD: 0.1294 c. M:-0.2232 c. 1145: 185 101 187 191 141 159 181 SP SD: 0.1232 c. M: 0.2393 c. 1169: 189 103 191 195 144 162 185 SP SD: 0.1412 c. M:-0.1969 c. 1176: 190 104 192 196 145 163 186 SP SD: 0.1250 c. M:-0.3069 c. 1233: 199 109 201 206 152 171 195 SP SD: 0.1289 c. M: 0.2343 c. 1257: 203 111 205 210 155 174 199 SP SD: 0.1153 c. M: 0.2237 c. 1264: 204 112 206 211 156 175 200 SP SD: 0.0895 c. M: 0.1495 c. 1436: 232 127 234 240 177 199 227 SP SD: 0.0919 c. M:-0.1692 c. 1809: 292 160 295 302 223 251 286 SP SD: 0.0854 c. M: 0.1263 c. 1833: 296 162 299 306 226 254 290 SP SD: 0.0533 c. M: 0.1003 c. 2012: 325 178 328 336 248 279 318 SP SD: 0.0621 c. M:-0.0944 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: 3.0120 cents 3 x x 4 x 5 x 6 S SD: 13.5081 cents 4 x 5 x 6 x 7:8 S SD: 24.0031 cents 5 x 6:7 x 8:9:10 S SD: 18.7261 cents 6 x 7:8:9:10:11:12 S SD: 10.9288 cents 7:8 x 9:10:11:13:14 SD: 22.8283 cents 8:9:10:11:12:13:14:16 S SD: 15.9302 cents 9:10:11:12:13:15:16:18 SD: 12.5743 cents 10:11:12:13:15:16:18:20 SD: 8.8009 cents 13 x 15:17:19:21:23:26 SD: 12.8052 cents 14:16:17:19:21:23:25:28 SD: 9.1705 cents 15:17:18:20:22:24:27:30 SD: 7.5929 cents 16:18:19:21:24:26:29:32 SD: 4.8349 cents 24:27:29:32:36:39:43:48 SD: 4.3428 cents 26:29:31:35:39:42:47:52 SD: 4.1520 cents 27:30:32:36:40:44:48:54 S SD: 3.5344 cents 32:36:38:43:48:52:57:64 SD: 3.2715 cents 33:37:39:44:49:54:59:66 SD: 2.7337 cents 42:47:50:56:63:68:75:84 SD: 1.9330 cents 43:48:51:57:64:70:77:86 SD: 1.7420 cents 57:64:68:76:85:93:102:114 SD: 1.5657 cents 67:75:80:89:100:109:120:134 SD: 1.2718 cents 69:77:82:92:103:112:124:138 SD: 1.2526 cents 75:84:89:100:112:122:134:150 SD: 1.1114 cents 85:95:101:113:127:138:152:170 SD: 1.0258 cents 91:102:108:121:136:148:163:182 SD: 0.8567 cents 111:124:132:148:166:181:199:222 SD: 0.6045 cents 127:142:151:169:190:207:228:254 SD: 0.5488 cents 154:172:183:205:230:251:276:308 SD: 0.5165 cents 169:189:201:225:253:275:303:338 SD: 0.4097 cents 196:219:233:261:293:319:351:392 SD: 0.3513 cents 202:226:240:269:302:329:362:404 SD: 0.2514 cents 269:301:320:358:402:438:482:538 SD: 0.2075 cents 338:378:402:450:505:550:606:676 SD: 0.2072 cents 380:425:452:506:568:619:681:760 SD: 0.1433 cents 471:527:560:627:704:767:844:942 SD: 0.1361 cents 540:604:642:719:807:879:968:1080 SD: 0.1037 cents 592:662:704:788:885:964:1061:1184 SD: 0.0966 cents