Scala analysis: CD14_04_Algeria
Suite - L'ensemble d'Al-'Arabî Ben Sârî (raml al-ashiyya, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 296.289 cents 296.289286 2: 498.824 cents 498.824194 3: 690.784 cents 690.784497 4: 793.976 cents 793.976373 5: 995.422 cents 995.422477 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 204.5775 cents 204.5775 1: 296.2893 cents 296.2893 2: 202.5349 cents 202.5349 3: 191.9603 cents 191.9603 4: 103.1919 cents 103.1919 5: 201.4461 cents 201.4461 6: 204.5775 cents 204.5775
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 103.19188 cents 1: 1 191.96030 cents 1: 1 201.44610 cents 1: 1 202.53491 cents 1: 1 204.57752 cents 1: 1 296.28929 cents 2: 1 295.15218 cents 2: 1 304.63798 cents 2: 1 394.49521 cents 2: 1 406.02363 cents 2: 1 498.82419 cents 2: 1 500.86681 cents 3: 1 496.59828 cents 3: 1 497.68709 cents 3: 1 509.21550 cents 3: 1 690.78450 cents 3: 1 702.31291 cents 3: 1 703.40172 cents 4: 1 699.13319 cents 4: 1 701.17581 cents 4: 1 793.97637 cents 4: 1 805.50479 cents 4: 1 895.36202 cents 4: 1 904.84782 cents 5: 1 903.71071 cents 5: 1 995.42248 cents 5: 1 997.46509 cents 5: 1 998.55390 cents 5: 1 1008.03970 cents 5: 1 1096.80812 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 : 296.3 498.8 690.8 794.0 995.4 1200.0 296.3 : 202.5 394.5 497.7 699.1 903.7 1200.0 498.8 : 192.0 295.2 496.6 701.2 997.5 1200.0 690.8 : 103.2 304.6 509.2 805.5 1008.0 1200.0 794.0 : 201.4 406.0 702.3 904.8 1096.8 1200.0 995.4 : 204.6 500.9 703.4 895.4 998.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 103.1919 .. 296.2893 cents 193.09741 cents 103.19188 cents 2: 295.1522 .. 500.8668 cents 205.71463 cents -1.13711 cents 3: 496.5983 .. 703.4017 cents 206.80343 cents -4.26853 cents 4: 699.1332 .. 904.8478 cents 205.71463 cents -4.26853 cents 5: 903.7107 .. 1096.8081 cents 193.09741 cents -1.13711 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 103.19188 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 296.28929 cents Average / Smallest step : 1.938137 Largest / Average step : 1.481446 Largest / Smallest step : 2.871246 Median interval of one step : 201.99051 cents, amount: 0 Least squares average step : 205.70669 cents, oct.: 1234.24016 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : FDBACE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.13711 cents Scale diversity : 1.388068 Lumma stability : 0.171986 Lumma impropriety factor : 0.009009 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 : 1.08880 cents Number of recognisable fifths : 5, average 699.3616 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 203.6720 cents: 1 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 67.4993 c. M: 98.8242 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 2 1 1 1 1 1 P M ME SD: 35.4076 c. M:-63.1665 c. 9: 2 2 1 1 1 2 N SD: 33.0187 c. M: 62.0891 c. 10: 2 2 2 1 1 2 P D3 S SD: 35.9382 c. M: 56.2893 c. 11: 3 2 1 1 2 2 N SD: 30.4226 c. M:-46.6304 c. 12: 3 2 2 1 2 2 P G D3 SD: 5.1205 c. M:-9.2155 c. Phrygian Hexatonic, Raga Desya Todi, Gopikavasantam (Gopika Basant), Jayantasri 45: 11 8 7 4 7 8 N SD: 5.6227 c. M: 8.7558 c. 53: 13 9 9 4 9 9 P G D3 SD: 4.6643 c. M:-11.1023 c. 57: 14 10 9 5 9 10 N SD: 4.6755 c. M:-6.4390 c. 64: 16 11 10 5 11 11 N SD: 4.5175 c. M:-7.4258 c. 65: 16 11 10 6 11 11 P SD: 3.2307 c. M: 7.7076 c. 69: 17 12 11 6 11 12 N SD: 4.2398 c. M:-6.0236 c. 70: 17 12 11 6 12 12 P SD: 3.7118 c. M: 5.4049 c. 77: 19 13 12 7 13 13 P SD: 2.2496 c. M: 5.0702 c. 82: 20 14 13 7 14 14 P SD: 2.5000 c. M: 3.7325 c. 89: 22 15 14 8 15 15 P SD: 1.7211 c. M: 3.1440 c. 94: 23 16 15 8 16 16 P SD: 1.6513 c. M: 2.6723 c. 101: 25 17 16 9 17 17 P SD: 1.5488 c. M:-2.5973 c. 106: 26 18 17 9 18 18 P SD: 1.1047 c. M: 1.9497 c. 118: 29 20 19 10 20 20 P SD: 0.8840 c. M: 1.3740 c. 207: 51 35 33 18 35 35 P SD: 0.8381 c. M:-1.6790 c. 219: 54 37 35 19 37 37 P SD: 0.8175 c. M:-1.8378 c. 231: 57 39 37 20 39 39 P SD: 0.8825 c. M:-1.9801 c. 240: 59 41 38 21 40 41 N SD: 0.9025 c. M: 1.2893 c. 248: 61 42 40 21 42 42 P SD: 0.8943 c. M:-1.3517 c. 252: 62 43 40 22 42 43 N SD: 0.8375 c. M:-1.2617 c. 275: 68 46 44 24 46 47 N SD: 0.8309 c. M: 1.3696 c. 287: 71 48 46 25 48 49 N SD: 0.7081 c. M: 1.2632 c. 292: 72 49 47 25 49 50 N SD: 0.8406 c. M: 1.5639 c. 299: 74 50 48 26 50 51 N SD: 0.6514 c. M: 1.1653 c. 311: 77 52 50 27 52 53 N SD: 0.6599 c. M: 1.0750 c. 316: 78 53 51 27 53 54 N SD: 0.6193 c. M: 1.3558 c. 323: 80 54 52 28 54 55 N SD: 0.7185 c. M:-1.0701 c. 328: 81 55 53 28 55 56 N SD: 0.5993 c. M: 1.2632 c. 339: 84 57 54 29 57 58 N SD: 0.7211 c. M: 1.0560 c. 340: 84 57 55 29 57 58 N SD: 0.6345 c. M: 1.1771 c. 358: 88 61 57 31 60 61 N SD: 0.6322 c. M: 1.3172 c. 363: 90 61 58 31 61 62 N SD: 0.5979 c. M:-1.2314 c. 381: 94 64 61 33 64 65 N SD: 0.6580 c. M: 1.1864 c. 382: 94 65 61 33 64 65 N SD: 0.6191 c. M: 1.0013 c. 393: 97 66 63 34 66 67 N SD: 0.5418 c. M: 1.1143 c. 394: 97 67 63 34 66 67 N SD: 0.6696 c. M:-0.9475 c. 405: 100 68 65 35 68 69 N SD: 0.4644 c. M: 1.0464 c. 417: 103 70 67 36 70 71 N SD: 0.4353 c. M: 0.9825 c. 429: 106 72 69 37 72 73 N SD: 0.4549 c. M: 0.9221 c. 438: 108 74 70 38 73 75 N SD: 0.4909 c. M: 0.9019 c. 441: 109 74 71 38 74 75 N SD: 0.5109 c. M: 0.8650 c. 450: 111 76 72 39 75 77 N SD: 0.4416 c. M: 0.7558 c. 462: 114 78 74 40 77 79 N SD: 0.4345 c. M:-0.8288 c. 469: 116 79 75 40 79 80 N SD: 0.3934 c. M: 0.7994 c. 481: 119 81 77 41 81 82 N SD: 0.3744 c. M: 0.6292 c. 493: 122 83 79 42 83 84 N SD: 0.3974 c. M:-0.6681 c. 544: 134 92 87 47 91 93 N SD: 0.4164 c. M: 0.7011 c. 546: 135 92 87 47 92 93 N SD: 0.4062 c. M: 0.6746 c. 556: 137 94 89 48 93 95 N SD: 0.3505 c. M: 0.6058 c. 558: 138 94 89 48 94 95 N SD: 0.3460 c. M:-0.4849 c. 568: 140 96 91 49 95 97 N SD: 0.3158 c. M: 0.5146 c. 582: 144 98 93 50 98 99 N SD: 0.3263 c. M:-0.6179 c. 594: 147 100 95 51 100 101 N SD: 0.3642 c. M:-0.6804 c. 599: 148 101 96 51 101 102 N SD: 0.3319 c. M: 0.6542 c. 657: 162 111 105 57 110 112 N SD: 0.3247 c. M:-0.5442 c. 669: 165 113 107 58 112 114 N SD: 0.3153 c. M:-0.6425 c. 676: 167 114 108 58 114 115 N SD: 0.2928 c. M: 0.4852 c. 688: 170 116 110 59 116 117 N SD: 0.2748 c. M:-0.5078 c. 697: 172 118 111 60 117 119 N SD: 0.3078 c. M:-0.4584 c. 700: 173 118 112 60 118 119 N SD: 0.2852 c. M:-0.5775 c. 709: 175 120 113 61 119 121 N SD: 0.2472 c. M:-0.4706 c. 721: 178 122 115 62 121 123 N SD: 0.2102 c. M:-0.4823 c. 733: 181 124 117 63 123 125 N SD: 0.2058 c. M:-0.4937 c. 745: 184 126 119 64 125 127 N SD: 0.2329 c. M:-0.5047 c. 750: 185 127 120 64 126 128 N SD: 0.3132 c. M:-0.4155 c. 757: 187 128 121 65 127 129 N SD: 0.2803 c. M:-0.5153 c. 810: 200 137 129 70 136 138 N SD: 0.2543 c. M:-0.4351 c. 815: 201 138 130 70 137 139 N SD: 0.2593 c. M: 0.3567 c. 822: 203 139 131 71 138 140 N SD: 0.2417 c. M:-0.4459 c. 827: 204 140 132 71 139 141 N SD: 0.2105 c. M:-0.3294 c. 839: 207 142 134 72 141 143 N SD: 0.1827 c. M:-0.3415 c. 863: 213 146 138 74 145 147 N SD: 0.2090 c. M:-0.3647 c. 919: 227 155 147 79 154 157 N SD: 0.1844 c. M: 0.4279 c. 928: 229 157 148 80 156 158 N SD: 0.2120 c. M:-0.3137 c. 931: 230 157 149 80 156 159 N SD: 0.1669 c. M: 0.3634 c. 943: 233 159 151 81 158 161 N SD: 0.1746 c. M: 0.3005 c. 1008: 249 170 161 87 169 172 N SD: 0.1601 c. M: 0.3083 c. 1020: 252 172 163 88 171 174 N SD: 0.1341 c. M: 0.1963 c. 1032: 255 174 165 89 173 176 N SD: 0.1332 c. M:-0.2223 c. 1037: 256 175 166 89 174 177 N SD: 0.1245 c. M: 0.2441 c. 1049: 259 177 168 90 176 179 N SD: 0.1089 c. M: 0.1889 c. 1126: 278 190 180 97 189 192 N SD: 0.0877 c. M: 0.1984 c. 1138: 281 192 182 98 191 194 N SD: 0.0509 c. M: 0.0991 c. 2175: 537 367 348 187 365 371 N SD: 0.0574 c. M: 0.1121 c. 2187: 540 369 350 188 367 373 N SD: 0.0442 c. M: 0.0864 c. 2199: 543 371 352 189 369 375 N SD: 0.0469 c. M:-0.0750 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 5.5853 cents 3 x 4 x 5 x 6 S SD: 30.1286 cents 4:5 x 6 x 7:8 S SD: 23.6333 cents 5:6:7 x 8:9:10 S SD: 18.1751 cents 9:11:12:13:14:16:18 SD: 13.3258 cents 10:12:13:15:16:18:20 SD: 9.6746 cents 12:14:16:18:19:21:24 SD: 6.8733 cents 17:20:23:25:27:30:34 SD: 6.5655 cents 21:25:28:31:33:37:42 SD: 4.2734 cents 26:31:35:39:41:46:52 SD: 3.8373 cents 27:32:36:40:43:48:54 SD: 2.6292 cents 33:39:44:49:52:59:66 SD: 2.6177 cents 43:51:57:64:68:76:86 SD: 2.4353 cents 45:53:60:67:71:80:90 SD: 2.3181 cents 48:57:64:72:76:85:96 SD: 2.1519 cents 53:63:71:79:84:94:106 SD: 1.5419 cents 63:75:84:94:100:112:126 SD: 1.4031 cents 69:82:92:103:109:123:138 SD: 1.1705 cents 81:96:108:121:128:144:162 SD: 0.8362 cents 96:114:128:143:152:171:192 SD: 0.7777 cents 102:121:136:152:161:181:204 SD: 0.7752 cents 108:128:144:161:171:192:216 SD: 0.4830 cents 165:196:220:246:261:293:330 SD: 0.4040 cents 198:235:264:295:313:352:396 SD: 0.2798 cents 251:298:335:374:397:446:502 SD: 0.2271 cents 273:324:364:407:432:485:546 SD: 0.2101 cents 306:363:408:456:484:544:612 SD: 0.2004 cents 332:394:443:495:525:590:664 SD: 0.1805 cents 359:426:479:535:568:638:718 SD: 0.0912 cents 557:661:743:830:881:990:1114 SD: 0.0748 cents