Scala analysis: CD08_11_Egypt
Le quatrième salut - Mustafa Fahreddin Dede (udhdhal, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 155.544 cents 155.544308 2: 297.433 cents 297.433000 3: 495.313 cents 495.312637 4: 648.643 cents 648.643415 5: 787.795 cents 787.794668 6: 894.585 cents 894.584508 7: 992.064 cents 992.063541 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 207.9365 cents 207.9365 1: 155.5443 cents 155.5443 2: 141.8887 cents 141.8887 3: 197.8796 cents 197.8796 4: 153.3308 cents 153.3308 5: 139.1513 cents 139.1513 6: 106.7898 cents 106.7898 7: 97.4790 cents 97.4790 8: 207.9365 cents 207.9365
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 97.47903 cents 1: 1 106.78984 cents 1: 1 139.15125 cents 1: 1 141.88869 cents 1: 1 153.33078 cents 1: 1 155.54431 cents 1: 1 197.87964 cents 1: 1 207.93646 cents 2: 1 204.26887 cents 2: 1 245.94109 cents 2: 1 292.48203 cents 2: 1 297.43300 cents 2: 1 305.41549 cents 2: 1 339.76833 cents 2: 1 351.21041 cents 2: 1 363.48077 cents 3: 1 343.42013 cents 3: 1 399.27187 cents 3: 1 412.20533 cents 3: 1 460.95980 cents 3: 1 490.36167 cents 3: 1 493.09911 cents 3: 1 495.31264 cents 3: 1 505.36946 cents 4: 1 496.75090 cents 4: 1 551.35659 cents 4: 1 567.74964 cents 4: 1 597.15151 cents 4: 1 602.84849 cents 4: 1 632.25036 cents 4: 1 648.64341 cents 4: 1 703.24910 cents 5: 1 694.63054 cents 5: 1 704.68736 cents 5: 1 706.90089 cents 5: 1 709.63833 cents 5: 1 739.04020 cents 5: 1 787.79467 cents 5: 1 800.72813 cents 5: 1 856.57987 cents 6: 1 836.51923 cents 6: 1 848.78959 cents 6: 1 860.23167 cents 6: 1 894.58451 cents 6: 1 902.56700 cents 6: 1 907.51797 cents 6: 1 954.05891 cents 6: 1 995.73113 cents 7: 1 992.06354 cents 7: 1 1002.12036 cents 7: 1 1044.45569 cents 7: 1 1046.66922 cents 7: 1 1058.11131 cents 7: 1 1060.84875 cents 7: 1 1093.21016 cents 7: 1 1102.52097 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 155.5 297.4 495.3 648.6 787.8 894.6 992.1 1200.0 155.5 : 141.9 339.8 493.1 632.3 739.0 836.5 1044.5 1200.0 297.4 : 197.9 351.2 490.4 597.2 694.6 902.6 1058.1 1200.0 495.3 : 153.3 292.5 399.3 496.8 704.7 860.2 1002.1 1200.0 648.6 : 139.2 245.9 343.4 551.4 706.9 848.8 1046.7 1200.0 787.8 : 106.8 204.3 412.2 567.7 709.6 907.5 1060.8 1200.0 894.6 : 97.5 305.4 461.0 602.8 800.7 954.1 1093.2 1200.0 992.1 : 207.9 363.5 505.4 703.2 856.6 995.7 1102.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 97.4790 .. 207.9365 cents 110.45743 cents 97.47903 cents 2: 204.2689 .. 363.4808 cents 159.21189 cents -3.66759 cents 3: 343.4201 .. 505.3695 cents 161.94933 cents -20.06064 cents 4: 496.7509 .. 703.2491 cents 206.49819 cents -8.61856 cents 5: 694.6305 .. 856.5799 cents 161.94933 cents -8.61856 cents 6: 836.5192 .. 995.7311 cents 159.21189 cents -20.06064 cents 7: 992.0635 .. 1102.5210 cents 110.45743 cents -3.66759 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 97.47903 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 207.93646 cents Average / Smallest step : 1.538792 Largest / Average step : 1.386243 Largest / Smallest step : 2.133140 Median interval of one step : 147.60973 cents, amount: 0 Least squares average step : 150.40121 cents, oct.: 1203.20969 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : FDGECBAH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.43827 cents Scale diversity : 1.601372 Lumma stability : 0.162465 Lumma impropriety factor : 0.053911 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 1.43827 cents Number of recognisable fifths : 5, average 703.8212 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 0 2 N T3 SD: 42.4120 c. M: 92.0635 c. 9: 1 1 2 1 1 1 0 2 N SD: 32.2296 c. M: 58.7302 c. 12: 2 1 2 2 1 1 1 2 N D3 SD: 24.7074 c. M:-51.3566 c. Raga Mukhari, Anandabhairavi, Deshi (Desi), Khat, Manji, Gregorian nr.1, Dorian/Aeolian mixed 13: 2 1 2 2 2 1 1 2 P D3 SD: 26.4933 c. M:-42.9746 c. 15: 2 2 2 2 2 1 1 3 N SD: 16.6885 c. M: 32.0635 c. 17: 2 2 3 2 2 2 1 3 P SD: 12.6898 c. M:-23.0626 c. 24: 3 3 4 3 3 2 2 4 P SD: 6.1484 c. M:-12.2053 c. 44: 6 5 7 6 5 4 3 8 N SD: 5.8126 c. M: 10.2454 c. 46: 6 5 8 6 5 4 4 8 N SD: 5.1106 c. M: 10.4765 c. 52: 7 6 8 7 6 5 4 9 N SD: 5.0329 c. M: 10.6973 c. 53: 7 6 9 7 6 5 4 9 N SD: 5.6032 c. M:-11.0759 c. 56: 7 7 9 7 7 5 4 10 N SD: 4.6383 c. M: 6.3493 c. 61: 8 7 10 8 7 5 5 11 N SD: 4.7572 c. M: 9.3386 c. 63: 8 8 10 8 7 6 5 11 N SD: 3.7838 c. M:-7.3289 c. 68: 9 8 11 9 8 6 5 12 N SD: 3.8924 c. M:-6.3230 c. 70: 9 8 12 9 8 6 6 12 N SD: 2.8338 c. M: 6.0044 c. 76: 10 9 12 10 9 7 6 13 N SD: 3.3001 c. M: 5.8390 c. 78: 10 9 13 10 9 7 6 14 N SD: 3.7939 c. M: 7.4482 c. 82: 11 9 14 10 10 7 7 14 N SD: 3.5100 c. M:-5.4313 c. 85: 11 10 14 11 10 7 7 15 N SD: 2.5550 c. M: 5.1727 c. 93: 12 11 15 12 11 8 8 16 N SD: 2.7114 c. M: 4.9901 c. 94: 12 11 16 12 11 8 8 16 N SD: 2.7533 c. M: 3.8160 c. 99: 13 12 16 13 11 9 8 17 N SD: 3.2065 c. M:-5.9020 c. 100: 13 12 16 13 12 9 8 17 N SD: 3.1759 c. M:-5.4155 c. 102: 13 12 17 13 12 9 8 18 N SD: 2.1440 c. M: 3.8282 c. 109: 14 13 18 14 13 9 9 19 N SD: 2.1254 c. M:-4.8659 c. 117: 15 14 19 15 14 10 10 20 N SD: 2.0910 c. M: 3.0049 c. 122: 16 14 20 16 14 11 10 21 N SD: 1.7488 c. M: 3.5094 c. 133: 17 16 22 17 15 12 11 23 N SD: 1.4410 c. M: 2.8323 c. 146: 19 17 24 19 17 13 12 25 N SD: 1.4657 c. M:-2.4570 c. 157: 20 19 26 20 18 14 13 27 N SD: 1.3124 c. M: 2.6781 c. 169: 22 20 28 21 20 15 14 29 N SD: 1.3456 c. M: 2.4896 c. 177: 23 21 29 23 20 16 14 31 N SD: 1.2677 c. M: 2.2330 c. 201: 26 24 33 26 23 18 16 35 N SD: 0.9818 c. M:-2.1029 c. 203: 26 24 34 26 23 18 17 35 N SD: 1.5210 c. M: 1.9737 c. 207: 27 24 34 27 24 18 17 36 N SD: 1.3864 c. M: 2.5590 c. 209: 27 25 34 27 24 19 17 36 N SD: 1.0068 c. M: 1.5327 c. 254: 33 30 42 32 30 22 21 44 N SD: 0.9278 c. M: 1.6711 c. 259: 34 30 43 33 30 23 21 45 N SD: 0.8240 c. M:-1.9846 c. 279: 36 33 46 36 32 25 23 48 N SD: 0.7722 c. M:-1.4848 c. 283: 37 33 47 36 33 25 23 49 N SD: 0.6791 c. M:-1.3462 c. 294: 38 35 48 38 34 26 24 51 N SD: 0.6322 c. M: 1.4351 c. 318: 41 38 52 41 37 28 26 55 N SD: 0.6382 c. M: 0.9730 c. 346: 45 41 57 44 40 31 28 60 N SD: 0.4636 c. M:-0.8329 c. 370: 48 44 61 47 43 33 30 64 N SD: 0.5321 c. M:-0.9454 c. 416: 54 49 69 53 48 37 34 72 N SD: 0.4011 c. M:-0.8412 c. 439: 57 52 72 56 51 39 36 76 N SD: 0.5213 c. M: 0.8074 c. 440: 57 52 73 56 51 39 36 76 N SD: 0.4912 c. M:-1.0510 c. 448: 58 53 74 57 52 40 36 78 N SD: 0.4117 c. M: 0.9921 c. 455: 59 54 75 58 53 40 37 79 N SD: 0.4581 c. M:-0.7768 c. 463: 60 55 76 59 54 41 38 80 N SD: 0.4314 c. M: 0.6953 c. 468: 61 55 77 60 54 42 38 81 N SD: 0.4287 c. M:-0.8659 c. 472: 61 56 78 60 55 42 38 82 N SD: 0.3613 c. M: 0.5381 c. 492: 64 58 81 63 57 44 40 85 N SD: 0.3623 c. M:-0.6194 c. 577: 75 68 95 74 67 51 47 100 N SD: 0.2802 c. M:-0.4349 c. 594: 77 70 98 76 69 53 48 103 N SD: 0.2581 c. M: 0.4633 c. 710: 92 84 117 91 82 63 58 123 N SD: 0.2344 c. M: 0.5000 c. 727: 94 86 120 93 84 65 59 126 N SD: 0.2443 c. M: 0.4494 c. 734: 95 87 121 94 85 65 60 127 N SD: 0.2416 c. M:-0.4029 c. 751: 97 89 124 96 87 67 61 130 N SD: 0.2404 c. M: 0.5510 c. 923: 120 109 152 118 107 82 75 160 N SD: 0.2066 c. M:-0.4687 c. 940: 122 111 155 120 109 84 76 163 N SD: 0.1557 c. M:-0.3091 c. 1056: 137 125 174 135 122 94 86 183 N SD: 0.2038 c. M: 0.2947 c. 1057: 137 125 174 135 123 94 86 183 N SD: 0.1948 c. M: 0.3937 c. 1073: 139 127 177 137 124 96 87 186 N SD: 0.1813 c. M: 0.4694 c. 1097: 142 130 181 140 127 98 89 190 N SD: 0.1582 c. M:-0.2206 c. 1182: 153 140 195 151 137 105 96 205 N SD: 0.1283 c. M: 0.2144 c. 1304: 169 154 215 167 151 116 106 226 N SD: 0.1227 c. M: 0.2206 c. 1328: 172 157 219 170 154 118 108 230 N SD: 0.1183 c. M:-0.1571 c. 1473: 191 174 243 188 171 131 120 255 N SD: 0.1031 c. M:-0.1972 c. 1650: 214 195 272 211 191 147 134 286 N SD: 0.0776 c. M: 0.1583 c. 1674: 217 198 276 214 194 149 136 290 N SD: 0.0490 c. M:-0.1021 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x 4 S SD: 26.6558 cents 3 x x 4 x x 5 x 6 S SD: 3.5282 cents 4 x 5 x 6 x x 7:8 S SD: 26.5541 cents 5 x 6 x 7:8 x 9:10 S SD: 15.5270 cents 6 x 7:8:9 x 10:11:12 S SD: 14.1140 cents 7 x 8:9:10:11:12 x 14 S SD: 17.0800 cents 8:9:10:11:12:13 x 14:16 S SD: 19.9686 cents 9:10:11:12:13:14:15:16:18 S SD: 7.9207 cents 15:16:18:20:22:24:25:27:30 SD: 7.7992 cents 18:20:21:24:26:28:30:32:36 S SD: 6.1894 cents 21:23:25:28:31:33:35:37:42 SD: 3.8561 cents 22:24:26:29:32:35:37:39:44 SD: 3.2351 cents 31:34:37:41:45:49:52:55:62 SD: 2.0217 cents 52:57:62:69:76:82:87:92:104 SD: 1.7440 cents 63:69:75:84:92:99:106:112:126 SD: 1.5854 cents 64:70:76:85:93:101:107:114:128 SD: 1.2599 cents 75:82:89:100:109:118:126:133:150 SD: 0.7392 cents 97:106:115:129:141:153:163:172:194 SD: 0.7176 cents 106:116:126:141:154:167:178:188:212 SD: 0.5287 cents 139:152:165:185:202:219:233:247:278 SD: 0.4777 cents 160:175:190:213:233:252:268:284:320 SD: 0.4069 cents 191:209:227:254:278:301:320:339:382 SD: 0.3955 cents 203:222:241:270:295:320:340:360:406 SD: 0.3619 cents 235:257:279:313:342:370:394:417:470 SD: 0.3226 cents 257:281:305:342:374:405:431:456:514 SD: 0.2495 cents 266:291:316:354:387:419:446:472:532 SD: 0.2178 cents 363:397:431:483:528:572:609:644:726 SD: 0.2140 cents 383:419:455:510:557:604:642:679:766 SD: 0.1913 cents 405:443:481:539:589:638:679:718:810 SD: 0.1830 cents 458:501:544:610:666:722:768:812:916 SD: 0.1676 cents 486:532:577:647:707:766:815:862:972 SD: 0.1478 cents 522:571:620:695:759:823:875:926:1044 SD: 0.1238 cents