Scala analysis: CD02_07_Egypt
L'être au visage superbe m'a rendu visite - Darwîsh Muhammad al-Harîrî (sikah arabi, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 217.495 cents 217.495152 2: 363.209 cents 363.208723 3: 511.909 cents 511.908934 4: 712.601 cents 712.600850 5: 826.828 cents 826.828259 6: 925.139 cents 925.139107 7: 947.658 cents 947.658125 8: 1071.559 cents 1071.558964 9: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 128.4410 cents 128.4410 1: 217.4952 cents 217.4952 2: 145.7136 cents 145.7136 3: 148.7002 cents 148.7002 4: 200.6919 cents 200.6919 5: 114.2274 cents 114.2274 6: 98.3108 cents 98.3108 7: 22.5190 cents 22.5190 8: 123.9008 cents 123.9008 9: 128.4410 cents 128.4410
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 22.51902 cents 1: 1 98.31085 cents 1: 1 114.22741 cents 1: 1 123.90084 cents 1: 1 128.44104 cents 1: 1 145.71357 cents 1: 1 148.70021 cents 1: 1 200.69192 cents 1: 1 217.49515 cents 2: 1 120.82987 cents 2: 1 146.41986 cents 2: 1 212.53826 cents 2: 1 252.34188 cents 2: 1 294.41378 cents 2: 1 314.91933 cents 2: 1 345.93619 cents 2: 1 349.39213 cents 2: 1 363.20872 cents 3: 1 235.05728 cents 3: 1 244.73071 cents 3: 1 274.86089 cents 3: 1 413.23017 cents 3: 1 463.61954 cents 3: 1 469.83703 cents 3: 1 491.64976 cents 3: 1 495.10570 cents 3: 1 511.90893 cents 4: 1 358.95811 cents 4: 1 373.17174 cents 4: 1 435.74919 cents 4: 1 492.35605 cents 4: 1 561.93038 cents 4: 1 609.33311 cents 4: 1 615.55060 cents 4: 1 640.34997 cents 4: 1 712.60085 cents 5: 1 487.39915 cents 5: 1 559.65003 cents 5: 1 584.44940 cents 5: 1 590.66689 cents 5: 1 638.06962 cents 5: 1 707.64395 cents 5: 1 764.25081 cents 5: 1 826.82826 cents 5: 1 841.04189 cents 6: 1 688.09107 cents 6: 1 704.89430 cents 6: 1 708.35024 cents 6: 1 730.16297 cents 6: 1 736.38046 cents 6: 1 786.76983 cents 6: 1 925.13911 cents 6: 1 955.26929 cents 6: 1 964.94272 cents 7: 1 836.79128 cents 7: 1 850.60787 cents 7: 1 854.06381 cents 7: 1 885.08068 cents 7: 1 905.58622 cents 7: 1 947.65813 cents 7: 1 987.46174 cents 7: 1 1053.58014 cents 7: 1 1079.17013 cents 8: 1 982.50485 cents 8: 1 999.30808 cents 8: 1 1051.29979 cents 8: 1 1054.28643 cents 8: 1 1071.55896 cents 8: 1 1076.09916 cents 8: 1 1085.77259 cents 8: 1 1101.68915 cents 8: 1 1177.48098 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 9.00000 = 9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 217.5 363.2 511.9 712.6 826.8 925.1 947.7 1071.6 1200.0 217.5 : 145.7 294.4 495.1 609.3 707.6 730.2 854.1 982.5 1200.0 363.2 : 148.7 349.4 463.6 561.9 584.4 708.4 836.8 1054.3 1200.0 511.9 : 200.7 314.9 413.2 435.7 559.7 688.1 905.6 1051.3 1200.0 712.6 : 114.2 212.5 235.1 359.0 487.4 704.9 850.6 999.3 1200.0 826.8 : 98.3 120.8 244.7 373.2 590.7 736.4 885.1 1085.8 1200.0 925.1 : 22.5 146.4 274.9 492.4 638.1 786.8 987.5 1101.7 1200.0 947.7 : 123.9 252.3 469.8 615.6 764.3 964.9 1079.2 1177.5 1200.0 1071.6: 128.4 345.9 491.6 640.3 841.0 955.3 1053.6 1076.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 22.5190 .. 217.4952 cents 194.97613 cents 22.51902 cents 2: 120.8299 .. 363.2087 cents 242.37886 cents -96.66529 cents 3: 235.0573 .. 511.9089 cents 276.85166 cents -128.15145 cents 4: 358.9581 .. 712.6008 cents 353.64274 cents -152.95082 cents 5: 487.3992 .. 841.0419 cents 353.64274 cents -225.20170 cents 6: 688.0911 .. 964.9427 cents 276.85166 cents -152.95082 cents 7: 836.7913 .. 1079.1701 cents 242.37886 cents -128.15145 cents 8: 982.5048 .. 1177.4810 cents 194.97613 cents -96.66529 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 22.51902 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 217.49515 cents Average / Smallest step : 5.920921 Largest / Average step : 1.631214 Largest / Smallest step : 9.658288 Median interval of one step : 128.44104 cents, amount: 1 Least squares average step : 143.93367 cents, oct.: 1295.40307 cents Scale is not proper Step pattern alph. order: ABCDEFGHI Step pattern size order : IFGHCBADE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.70629 cents Scale diversity : 1.648284 Lumma stability : 0.037532 Lumma impropriety factor : 0.769347 Rothenberg efficiency : 0.222222 redundancy: 0.777778 Efficiency x scale size : 2.000000 Number of different interval sizes : 72 = 9.00000 / class Number of one step interval sizes : 9 Highest interval variety : 9 Mean interval variety : 9.00000 = 9 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 0.70629 cents Number of recognisable fifths : 5, average 704.3161 cents Number of appreciable fifths : 4, average 708.3723 cents Formal octave complements present : 1 = 11.1111% -- Rational properties --
FIT/MODE
9: 2 1 1 1 1 1 0 1 1 N T3 SD: 28.5899 c. M:-49.1715 c. 10: 2 1 1 2 1 1 0 1 1 N S SD: 18.8622 c. M:-34.8609 c. 17: 3 2 2 3 2 1 0 2 2 N SD: 15.0118 c. M: 30.0111 c. 19: 3 3 2 3 2 2 0 2 2 N SD: 14.6375 c. M: 28.0215 c. 21: 4 2 3 3 2 2 1 2 2 N SD: 17.8524 c. M: 26.8866 c. 22: 4 3 2 4 2 2 0 3 2 N SD: 13.6194 c. M: 20.9998 c. 23: 4 3 3 4 2 2 0 3 2 N SD: 12.5095 c. M:-24.0932 c. 26: 5 3 3 4 3 2 1 2 3 N SD: 11.6792 c. M:-21.5726 c. 27: 5 3 4 4 3 2 0 3 3 N SD: 11.2977 c. M:-21.4244 c. 28: 5 3 4 5 2 3 0 3 3 N SD: 11.4480 c. M: 20.3516 c. 29: 5 4 3 5 3 2 1 3 3 N SD: 9.2567 c. M: 15.3572 c. 30: 6 3 4 5 3 2 1 3 3 N SD: 10.8549 c. M:-22.5048 c. 32: 6 4 4 5 3 3 0 4 3 N SD: 9.8893 c. M:-15.9410 c. 33: 6 4 4 6 3 2 1 3 4 N SD: 9.8129 c. M: 17.0135 c. 34: 6 4 4 6 3 3 1 3 4 N SD: 10.3980 c. M: 17.7913 c. 35: 6 5 4 6 3 3 1 3 4 N SD: 8.4162 c. M:-13.9341 c. 38: 7 5 4 7 3 3 1 4 4 N SD: 8.2865 c. M:-15.7386 c. 39: 7 5 5 6 4 3 1 4 4 N SD: 5.5416 c. M:-11.1680 c. 44: 8 5 6 7 4 4 1 4 5 N SD: 5.9321 c. M: 8.6633 c. 47: 8 6 6 8 4 4 1 5 5 N SD: 6.2972 c. M: 13.2398 c. 49: 9 6 6 8 5 4 1 5 5 N SD: 4.6213 c. M:-7.4439 c. 56: 10 7 7 9 6 4 1 6 6 N SD: 4.2517 c. M:-8.8860 c. 57: 10 7 7 10 5 5 1 6 6 N SD: 4.3523 c. M: 6.9688 c. 66: 12 8 8 11 6 6 1 7 7 N SD: 3.4391 c. M: 8.6464 c. 76: 14 9 9 13 7 7 1 8 8 N SD: 3.9519 c. M: 6.6458 c. 77: 14 9 10 13 7 6 2 8 8 N SD: 3.3840 c. M: 5.6586 c. 83: 15 10 10 14 8 7 1 9 9 N SD: 3.7742 c. M: 7.8991 c. 84: 15 10 11 14 8 7 1 9 9 N SD: 3.2226 c. M: 6.0659 c. 86: 16 10 11 14 8 7 2 9 9 N SD: 3.2223 c. M:-5.7607 c. 87: 16 10 11 15 8 7 2 9 9 N SD: 3.1948 c. M:-4.6405 c. 93: 17 11 12 15 9 8 1 10 10 N SD: 3.0330 c. M: 5.7226 c. 96: 17 12 12 16 9 8 2 10 10 N SD: 2.2730 c. M: 4.9952 c. 100: 18 12 13 16 10 8 2 10 11 N SD: 2.7057 c. M: 4.6009 c. 103: 19 12 13 17 10 8 2 11 11 N SD: 2.6212 c. M: 4.7508 c. 105: 19 13 13 17 10 9 2 11 11 N SD: 2.4188 c. M: 4.0294 c. 106: 19 13 13 18 10 9 2 11 11 N SD: 2.3435 c. M:-3.9127 c. 110: 20 13 14 18 11 9 2 11 12 N SD: 2.1492 c. M: 3.5099 c. 113: 20 14 14 19 11 9 2 12 12 N SD: 2.3039 c. M: 5.1058 c. 122: 22 15 15 20 12 10 2 13 13 N SD: 1.9392 c. M: 4.4041 c. 132: 24 16 16 22 13 11 2 14 14 N SD: 1.8823 c. M: 3.5099 c. 138: 25 17 17 23 13 11 3 14 15 N SD: 1.5507 c. M: 3.4000 c. 148: 27 18 18 25 14 12 3 15 16 N SD: 1.0622 c. M:-1.6561 c. 209: 38 25 26 35 20 17 4 22 22 N SD: 1.0029 c. M:-2.1252 c. 215: 39 26 27 36 20 18 4 22 23 N SD: 1.0486 c. M:-1.8178 c. 232: 42 28 29 39 22 19 4 24 25 N SD: 0.8088 c. M:-1.1923 c. 244: 44 30 30 41 23 20 5 25 26 N SD: 0.7815 c. M:-1.5222 c. 261: 47 32 32 44 25 21 5 27 28 N SD: 0.8409 c. M: 1.5641 c. 270: 49 33 33 45 26 22 5 28 29 N SD: 0.8270 c. M: 1.4897 c. 271: 49 33 34 45 26 22 5 28 29 N SD: 0.7462 c. M:-1.7442 c. 281: 51 34 35 47 27 23 5 29 30 N SD: 0.8241 c. M:-1.6415 c. 298: 54 36 37 50 28 25 5 31 32 N SD: 0.7976 c. M: 1.3494 c. 305: 55 37 38 51 29 25 6 31 33 N SD: 0.8205 c. M: 1.3950 c. 310: 56 38 38 52 30 25 6 32 33 N SD: 0.7755 c. M:-1.5588 c. 328: 59 40 41 55 31 27 6 34 35 N SD: 0.7342 c. M: 1.6415 c. 337: 61 41 42 56 32 28 6 35 36 N SD: 0.5005 c. M:-0.8507 c. 419: 76 51 52 70 40 34 8 43 45 N SD: 0.4883 c. M:-0.8567 c. 446: 81 54 55 75 42 37 8 46 48 N SD: 0.5295 c. M: 0.8193 c. 475: 86 58 59 79 45 39 9 49 51 N SD: 0.5076 c. M:-0.9332 c. 476: 86 58 59 80 45 39 9 49 51 N SD: 0.3838 c. M:-0.8445 c. 485: 88 59 60 81 46 40 9 50 52 N SD: 0.2715 c. M:-0.5026 c. 598: 108 73 74 100 57 49 11 62 64 N SD: 0.3247 c. M: 0.7727 c. 628: 114 76 78 105 60 51 12 65 67 N SD: 0.2949 c. M:-0.5603 c. 647: 117 79 80 108 62 53 12 67 69 N SD: 0.3325 c. M: 0.4936 c. 694: 126 84 86 116 66 57 13 72 74 N SD: 0.2479 c. M:-0.4871 c. 717: 130 87 89 120 68 59 13 74 77 N SD: 0.2731 c. M: 0.4293 c. 746: 135 91 92 125 71 61 14 77 80 N SD: 0.2387 c. M: 0.3808 c. 926: 168 112 115 155 88 76 17 96 99 N SD: 0.2013 c. M: 0.3579 c. 961: 174 117 119 161 91 79 18 99 103 N SD: 0.1953 c. M:-0.4064 c. 965: 175 117 120 161 92 79 18 100 103 N SD: 0.1998 c. M:-0.4227 c. 1064: 193 129 132 178 101 87 20 110 114 N SD: 0.1847 c. M: 0.3271 c. 1074: 195 130 133 180 102 88 20 111 115 N SD: 0.1756 c. M:-0.3819 c. 1083: 196 132 134 181 103 89 20 112 116 N SD: 0.1899 c. M: 0.3206 c. 1113: 202 135 138 186 106 91 21 115 119 N SD: 0.1493 c. M:-0.2946 c. 1170: 212 142 145 196 111 96 22 121 125 N SD: 0.1355 c. M:-0.2359 c. 1374: 249 167 170 230 131 112 26 142 147 N SD: 0.1333 c. M: 0.2483 c. 1418: 257 172 176 237 135 116 27 146 152 N SD: 0.1188 c. M: 0.1908 c. 1589: 288 193 197 266 151 130 30 164 170 N SD: 0.1208 c. M:-0.3003 c. 1655: 300 201 205 277 157 136 31 171 177 N SD: 0.1046 c. M: 0.2422 c. 1711: 310 208 212 286 163 140 32 177 183 N SD: 0.0796 c. M: 0.1421 c. 2026: 367 246 251 339 193 166 38 209 217 N SD: 0.0890 c. M: 0.1616 c. 2112: 383 256 262 353 201 173 40 218 226 N SD: 0.0971 c. M: 0.1405 c. 2187: 396 266 271 366 208 179 41 226 234 N SD: 0.0947 c. M: 0.2112 c. 2196: 398 267 272 367 209 180 41 227 235 N SD: 0.0838 c. M:-0.1793 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x x 4 S SD: 5.3229 cents 3 x x 4 x x 5 x x 6 S SD: 14.3575 cents 4 x 5 x 6 x x 7 x 8 S SD: 8.2736 cents 5 x 6:7 x 8 x x 9:10 S SD: 20.3294 cents 6:7 x 8:9 x 10 x 11:12 S SD: 11.6657 cents 7:8:9 x x 11:12 x 13:14 SD: 14.3205 cents 8:9:10:11:12:13 x 14:15:16 S SD: 7.1804 cents 9:10:11:12:14 x 15:16:17:18 S SD: 12.0470 cents 10:11:12:13:15:16:17 x 19:20 SD: 12.6530 cents 11:12:14:15:17:18 x 19:20:22 SD: 13.5395 cents 12:14:15:16:18:19:20:21:22:24 S SD: 9.2021 cents 13:15:16:17:20:21:22 x 24:26 SD: 8.4823 cents 14:16:17:19:21:23:24 x 26:28 SD: 6.1786 cents 15:17:19:20:23:24 x 26:28:30 SD: 7.2219 cents 16:18:20:22:24:26:27:28:30:32 S SD: 6.7323 cents 17:19:21:23:26:27:29 x 32:34 SD: 6.2628 cents 18:20:22:24:27:29 x 31:33:36 SD: 6.0251 cents 20:23:25:27:30:32:34:35:37:40 SD: 4.9812 cents 21:24:26:28:32:34:36 x 39:42 S SD: 3.5708 cents 22:25:27:30:33:35 x 38:41:44 SD: 4.6766 cents 23:26:28:31:35:37:39:40:43:46 SD: 3.7610 cents 24:27:30:32:36:39:41 x 45:48 SD: 4.8327 cents 25:28:31:34:38:40 x 43:46:50 SD: 5.0137 cents 26:29:32:35:39:42:44:45:48:52 SD: 3.9568 cents 28:32:35:38:42:45:48 x 52:56 SD: 4.3466 cents 29:33:36:39:44:47:49:50:54:58 SD: 2.8639 cents 30:34:37:40:45:48:51:52:56:60 SD: 2.7739 cents 32:36:39:43:48:52 x 55:59:64 SD: 4.2743 cents 33:37:41:44:50:53:56:57:61:66 SD: 3.4678 cents 34:39:42:46:51:55:58:59:63:68 SD: 3.0295 cents 35:40:43:47:53:56:60:61:65:70 SD: 2.9489 cents 37:42:46:50:56:60:63:64:69:74 SD: 2.4201 cents 38:43:47:51:57:61:65:66:71:76 SD: 2.2399 cents 39:44:48:52:59:63 x 67:72:78 SD: 2.8767 cents 41:46:51:55:62:66:70:71:76:82 SD: 2.7157 cents 43:49:53:58:65:69:73:74:80:86 SD: 2.0418 cents 44:50:54:59:66:71:75:76:82:88 SD: 1.8110 cents 47:53:58:63:71:76:80:81:87:94 SD: 1.6485 cents 55:62:68:74:83:89:94:95:102:110 SD: 1.4828 cents 59:67:73:79:89:95:101:102:110:118 SD: 1.4182 cents 61:69:75:82:92:98:104:105:113:122 SD: 1.4119 cents 67:76:83:90:101:108:114:116:124:134 SD: 1.2576 cents 69:78:85:93:104:111:118:119:128:138 SD: 1.1636 cents 81:92:100:109:122:131:138:140:150:162 SD: 1.0457 cents 82:93:101:110:124:132:140:142:152:164 SD: 0.8226 cents 90:102:111:121:136:145:154:156:167:180 SD: 0.8061 cents 98:111:121:132:148:158:167:169:182:196 SD: 0.7467 cents 119:135:147:160:180:192:203:206:221:238 SD: 0.6134 cents 133:151:164:179:201:214:227:230:247:266 SD: 0.5906 cents 149:169:184:200:225:240:254:258:277:298 SD: 0.5846 cents 157:178:194:211:237:253:268:271:292:314 SD: 0.5570 cents 163:185:201:219:246:263:278:282:303:326 SD: 0.3703 cents 180:204:222:242:272:290:307:311:334:360 SD: 0.3555 cents 218:247:269:293:329:351:372:377:405:436 SD: 0.3185 cents 224:254:276:301:338:361:382:387:416:448 SD: 0.2765 cents 232:263:286:312:350:374:396:401:431:464 SD: 0.2053 cents 314:356:387:422:474:506:536:543:583:628 SD: 0.2025 cents 343:389:423:461:518:553:585:593:637:686 SD: 0.1647 cents 454:515:560:610:685:732:775:785:843:908 SD: 0.1479 cents 523:593:645:703:789:843:892:904:971:1046 SD: 0.1444 cents 531:602:655:714:801:856:906:918:986:1062 SD: 0.1359 cents 544:617:671:731:821:877:928:940:1010:1088 SD: 0.1330 cents 552:626:681:742:833:890:942:954:1025:1104 SD: 0.0850 cents