Scala analysis: CD15_06_Algeria
Tlemcem, ô noble cité - 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: 183.758 cents 183.757634 2: 292.219 cents 292.218610 3: 499.020 cents 499.020373 4: 701.898 cents 701.898119 5: 835.071 cents 835.070587 6: 993.834 cents 993.833953 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 206.1660 cents 206.1660 1: 183.7576 cents 183.7576 2: 108.4610 cents 108.4610 3: 206.8018 cents 206.8018 4: 202.8777 cents 202.8777 5: 133.1725 cents 133.1725 6: 158.7634 cents 158.7634 7: 206.1660 cents 206.1660
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 108.46098 cents 1: 1 133.17247 cents 1: 1 158.76337 cents 1: 1 183.75763 cents 1: 1 202.87775 cents 1: 1 206.16605 cents 1: 1 206.80176 cents 2: 1 291.93583 cents 2: 1 292.21861 cents 2: 1 315.26274 cents 2: 1 336.05021 cents 2: 1 364.92941 cents 2: 1 389.92368 cents 2: 1 409.67951 cents 3: 1 494.81358 cents 3: 1 498.10188 cents 3: 1 498.38466 cents 3: 1 499.02037 cents 3: 1 518.14049 cents 3: 1 542.85198 cents 3: 1 548.68705 cents 4: 1 651.31295 cents 4: 1 657.14802 cents 4: 1 681.85952 cents 4: 1 700.97963 cents 4: 1 701.61534 cents 4: 1 701.89812 cents 4: 1 705.18642 cents 5: 1 790.32049 cents 5: 1 810.07632 cents 5: 1 835.07059 cents 5: 1 863.94979 cents 5: 1 884.73726 cents 5: 1 907.78139 cents 5: 1 908.06417 cents 6: 1 993.19824 cents 6: 1 993.83395 cents 6: 1 997.12225 cents 6: 1 1016.24237 cents 6: 1 1041.23663 cents 6: 1 1066.82753 cents 6: 1 1091.53902 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 : 183.8 292.2 499.0 701.9 835.1 993.8 1200.0 183.8 : 108.5 315.3 518.1 651.3 810.1 1016.2 1200.0 292.2 : 206.8 409.7 542.9 701.6 907.8 1091.5 1200.0 499.0 : 202.9 336.1 494.8 701.0 884.7 993.2 1200.0 701.9 : 133.2 291.9 498.1 681.9 790.3 997.1 1200.0 835.1 : 158.8 364.9 548.7 657.1 863.9 1066.8 1200.0 993.8 : 206.2 389.9 498.4 705.2 908.1 1041.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 108.4610 .. 206.8018 cents 98.34079 cents 108.46098 cents 2: 291.9358 .. 409.6795 cents 117.74368 cents 85.13407 cents 3: 494.8136 .. 548.6870 cents 53.87347 cents 85.13407 cents 4: 651.3130 .. 705.1864 cents 53.87347 cents 102.62591 cents 5: 790.3205 .. 908.0642 cents 117.74368 cents 85.13407 cents 6: 993.1982 .. 1091.5390 cents 98.34079 cents 85.13407 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 108.46098 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 206.80176 cents Average / Smallest step : 1.580555 Largest / Average step : 1.206344 Largest / Smallest step : 1.906693 Median interval of one step : 183.75763 cents, amount: 1 Least squares average step : 168.65147 cents, oct.: 1180.56026 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DAGEBCF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 85.13407 cents Scale diversity : 1.516795 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.550070 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 : 0.28278 cents Number of recognisable fifths : 4, average 702.4199 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 117.4609 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 26.4713 c. M:-50.6385 c. Lebeng 12: 2 1 2 2 1 2 2 P M ME S SD: 15.1039 c. M: 35.0706 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: 12.5169 c. M:-28.0071 c. Dastgah-e Nava 19: 3 2 3 3 2 3 3 SP M ME S SD: 12.8377 c. M:-23.5709 c. Nineteen-tone Natural Minor, Aeolian 22: 3 2 4 4 2 3 4 SP S SD: 13.7940 c. M: 20.1213 c. 24: 4 2 4 4 3 3 4 SP D3 S SD: 9.1794 c. M:-16.2424 c. Dastgah-e Nava, Maqam Ushaq Masri 29: 4 3 5 5 3 4 5 SP S SD: 7.6001 c. M: 18.2404 c. 33: 5 3 6 5 4 4 6 SP SD: 7.3066 c. M: 12.0158 c. 34: 5 3 6 6 4 4 6 SP SD: 7.2250 c. M:-11.9882 c. 36: 6 3 6 6 4 5 6 SP SD: 7.2699 c. M:-16.2424 c. Dastgah-e Nava 40: 6 4 7 6 5 5 7 SP SD: 7.3269 c. M: 11.8981 c. 41: 6 4 7 7 5 5 7 SP SD: 6.0786 c. M:-13.7099 c. 45: 7 4 8 7 5 6 8 SP SD: 6.1356 c. M: 8.5648 c. 46: 7 4 8 8 5 6 8 SP SD: 2.7474 c. M: 5.2621 c. 53: 8 5 9 9 6 7 9 SP SD: 1.8914 c. M:-2.6653 c. 99: 15 9 17 17 11 13 17 SP SD: 1.3441 c. M: 2.0507 c. 111: 17 10 19 19 12 15 19 SP SD: 1.2684 c. M: 2.6382 c. 144: 22 13 25 24 16 19 25 SP SD: 1.3503 c. M: 2.1673 c. 152: 23 14 26 26 17 20 26 SP SD: 1.3082 c. M: 2.1787 c. 164: 25 15 28 28 18 22 28 SP SD: 0.9135 c. M: 1.4594 c. 197: 30 18 34 33 22 26 34 SP SD: 0.7935 c. M: 1.3905 c. 214: 33 19 37 36 24 28 37 SP SD: 0.8369 c. M: 1.3106 c. 243: 37 22 42 41 27 32 42 SP SD: 0.7676 c. M: 1.2414 c. 250: 38 23 43 42 28 33 43 SP SD: 0.7062 c. M: 1.3576 c. 267: 41 24 46 45 30 35 46 SP SD: 0.5350 c. M:-0.8845 c. 313: 48 28 54 53 35 41 54 SP SD: 0.5987 c. M: 0.8627 c. 320: 49 29 55 54 36 42 55 SP SD: 0.5306 c. M:-1.1794 c. 325: 50 29 56 55 36 43 56 SP SD: 0.5592 c. M:-0.8578 c. 332: 51 30 57 56 37 44 57 SP SD: 0.4158 c. M: 0.6933 c. 378: 58 34 65 64 42 50 65 SP SD: 0.3122 c. M: 0.6077 c. 431: 66 39 74 73 48 57 74 SP SD: 0.2834 c. M: 0.6445 c. 621: 95 56 107 105 69 82 107 SP SD: 0.3930 c. M: 0.5972 c. 628: 96 57 108 106 70 83 108 SP SD: 0.3022 c. M: 0.6242 c. 645: 99 58 111 109 72 85 111 SP SD: 0.3426 c. M: 0.5028 c. 674: 103 61 116 114 75 89 116 SP SD: 0.3281 c. M: 0.5041 c. 698: 107 63 120 118 78 92 120 SP SD: 0.3146 c. M: 0.4655 c. 711: 109 64 123 120 79 94 122 SP SD: 0.3072 c. M:-0.5577 c. 757: 116 68 131 128 84 100 130 SP SD: 0.3046 c. M: 0.5409 c. 763: 117 69 131 129 85 101 131 SP SD: 0.2938 c. M: 0.4621 c. 769: 118 69 133 130 85 102 132 SP SD: 0.2928 c. M: 0.4111 c. 776: 119 70 134 131 86 103 133 SP SD: 0.2829 c. M:-0.4959 c. 809: 124 73 139 137 90 107 139 SP SD: 0.2698 c. M: 0.6273 c. 822: 126 74 142 139 91 109 141 SP SD: 0.2238 c. M:-0.3266 c. 875: 134 79 151 148 97 116 150 SP SD: 0.2200 c. M:-0.4518 c. 954: 146 86 165 161 106 126 164 SP SD: 0.2166 c. M: 0.3947 c. 966: 148 87 167 163 107 128 166 SP SD: 0.2102 c. M:-0.3585 c. 973: 149 88 168 164 108 129 167 SP SD: 0.2082 c. M:-0.4658 c. 1007: 154 91 174 170 112 133 173 SP SD: 0.2029 c. M:-0.2845 c. 1019: 156 92 176 172 113 135 175 SP SD: 0.1424 c. M:-0.2927 c. 1072: 164 97 185 181 119 142 184 SP SD: 0.1351 c. M:-0.2334 c. 1142: 175 103 197 193 127 151 196 SP SD: 0.1590 c. M:-0.3059 c. 1183: 181 107 204 200 131 157 203 SP SD: 0.1497 c. M:-0.2489 c. 1200: 184 108 207 203 133 159 206 SP SD: 0.1463 c. M:-0.2424 c. 1207: 185 109 208 204 134 160 207 SP SD: 0.1590 c. M:-0.3665 c. 1253: 192 113 216 212 139 166 215 SP SD: 0.1262 c. M:-0.2602 c. 1286: 197 116 222 217 143 170 221 SP SD: 0.1265 c. M:-0.2020 c. 1339: 205 121 231 226 149 177 230 SP SD: 0.1175 c. M: 0.1804 c. 1385: 212 125 239 234 154 183 238 SP SD: 0.1190 c. M: 0.2331 c. 1397: 214 126 241 236 155 185 240 SP SD: 0.0961 c. M: 0.1642 c. 1450: 222 131 250 245 161 192 249 SP SD: 0.0650 c. M: 0.1050 c. 2200: 337 199 379 372 244 291 378 SP SD: 0.0763 c. M:-0.1450 c. 2246: 344 203 387 380 249 297 386 SP SD: 0.0651 c. M:-0.1500 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: 0.0284 cents 3 x x 4 x 5 x 6 S SD: 16.4326 cents 4 x 5 x 6 x 7:8 S SD: 24.3404 cents 5 x 6:7 x 8:9:10 S SD: 18.4840 cents 6 x 7:8:9:10:11:12 S SD: 13.0770 cents 7:8 x 9 x 11:12:14 SD: 22.6148 cents 8:9 x 11:12:13:14:16 SD: 10.2691 cents 10:11:12:13:15:16:18:20 SD: 8.9555 cents 16:18:19:21:24:26:28:32 SD: 6.2053 cents 18:20:21:24:27:29:32:36 SD: 3.8830 cents 26:29:31:35:39:42:46:52 SD: 3.1376 cents 36:40:43:48:54:58:64:72 SD: 2.6074 cents 42:47:50:56:63:68:75:84 SD: 2.5319 cents 44:49:52:59:66:71:78:88 SD: 1.7240 cents 54:60:64:72:81:87:96:108 SD: 1.4284 cents 71:79:84:95:106:115:126:142 SD: 1.3901 cents 72:80:85:96:108:117:128:144 SD: 1.1182 cents 92:102:109:123:138:149:163:184 SD: 1.0612 cents 98:109:116:131:147:159:174:196 SD: 0.6317 cents 108:120:128:144:162:175:192:216 SD: 0.4911 cents 152:169:180:203:228:246:270:304 SD: 0.3761 cents 206:229:244:275:309:334:366:412 SD: 0.3560 cents 224:249:265:299:336:363:398:448 SD: 0.3163 cents 240:267:284:320:360:389:426:480 SD: 0.2658 cents 266:296:315:355:399:431:472:532 SD: 0.2644 cents 276:307:327:368:414:447:490:552 SD: 0.2525 cents 294:327:348:392:441:476:522:588 SD: 0.2028 cents 348:387:412:464:522:564:618:696 SD: 0.1951 cents 374:416:443:499:561:606:664:748 SD: 0.1641 cents 392:436:464:523:588:635:696:784 SD: 0.0753 cents