Scala analysis: CD01_09_bayati_Egypt
Les tristesses sont passées - Darwîsh Muhammad al-Harîrî (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 146.239 cents 146.239196 2: 292.314 cents 292.314366 3: 479.131 cents 479.130847 4: 681.444 cents 681.443675 5: 794.902 cents 794.901828 6: 926.275 cents 926.275094 7: 992.584 cents 992.584343 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 207.4157 cents 207.4157 1: 146.2392 cents 146.2392 2: 146.0752 cents 146.0752 3: 186.8165 cents 186.8165 4: 202.3128 cents 202.3128 5: 113.4582 cents 113.4582 6: 131.3733 cents 131.3733 7: 66.3092 cents 66.3092 8: 207.4157 cents 207.4157
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 66.30925 cents 1: 1 113.45815 cents 1: 1 131.37327 cents 1: 1 146.07517 cents 1: 1 146.23920 cents 1: 1 186.81648 cents 1: 1 202.31283 cents 1: 1 207.41566 cents 2: 1 197.68251 cents 2: 1 244.83142 cents 2: 1 273.72491 cents 2: 1 292.31437 cents 2: 1 315.77098 cents 2: 1 332.89165 cents 2: 1 353.65485 cents 2: 1 389.12931 cents 3: 1 311.14067 cents 3: 1 405.09817 cents 3: 1 419.96410 cents 3: 1 447.14425 cents 3: 1 479.13085 cents 3: 1 499.73002 cents 3: 1 502.58746 cents 3: 1 535.20448 cents 4: 1 513.45350 cents 4: 1 518.55632 cents 4: 1 551.33737 cents 4: 1 566.03927 cents 4: 1 633.96073 cents 4: 1 648.66263 cents 4: 1 681.44367 cents 4: 1 686.54650 cents 5: 1 664.79552 cents 5: 1 697.41254 cents 5: 1 700.26998 cents 5: 1 720.86915 cents 5: 1 752.85575 cents 5: 1 780.03590 cents 5: 1 794.90183 cents 5: 1 888.85933 cents 6: 1 810.87069 cents 6: 1 846.34515 cents 6: 1 867.10835 cents 6: 1 884.22902 cents 6: 1 907.68563 cents 6: 1 926.27509 cents 6: 1 955.16858 cents 6: 1 1002.31748 cents 7: 1 992.58434 cents 7: 1 997.68717 cents 7: 1 1013.18352 cents 7: 1 1053.76080 cents 7: 1 1053.92483 cents 7: 1 1068.62673 cents 7: 1 1086.54185 cents 7: 1 1133.69075 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 : 146.2 292.3 479.1 681.4 794.9 926.3 992.6 1200.0 146.2 : 146.1 332.9 535.2 648.7 780.0 846.3 1053.8 1200.0 292.3 : 186.8 389.1 502.6 634.0 700.3 907.7 1053.9 1200.0 479.1 : 202.3 315.8 447.1 513.5 720.9 867.1 1013.2 1200.0 681.4 : 113.5 244.8 311.1 518.6 664.8 810.9 997.7 1200.0 794.9 : 131.4 197.7 405.1 551.3 697.4 884.2 1086.5 1200.0 926.3 : 66.3 273.7 420.0 566.0 752.9 955.2 1068.6 1200.0 992.6 : 207.4 353.7 499.7 686.5 888.9 1002.3 1133.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 66.3092 .. 207.4157 cents 141.10641 cents 66.30925 cents 2: 197.6825 .. 389.1293 cents 191.44679 cents -9.73314 cents 3: 311.1407 .. 535.2045 cents 224.06381 cents -77.98864 cents 4: 513.4535 .. 686.5465 cents 173.09301 cents -21.75098 cents 5: 664.7955 .. 888.8593 cents 224.06381 cents -21.75098 cents 6: 810.8707 .. 1002.3175 cents 191.44679 cents -77.98864 cents 7: 992.5843 .. 1133.6908 cents 141.10641 cents -9.73314 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 66.30925 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 207.41566 cents Average / Smallest step : 2.262128 Largest / Average step : 1.382771 Largest / Smallest step : 3.128005 Median interval of one step : 146.15718 cents, amount: 0 Least squares average step : 151.83473 cents, oct.: 1214.67785 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : EDFGBCAH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.63031 cents Scale diversity : 1.728561 Lumma stability : 0.110515 Lumma impropriety factor : 0.182455 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 : 0.16403 cents Number of recognisable fifths : 3, average 694.7430 cents Number of appreciable fifths : 2, average 698.8413 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 2 0 1 1 1 N T3 SD: 38.1197 c. M:-68.5563 c. 9: 1 1 1 2 1 1 0 2 N D3 SD: 36.8967 c. M: 79.1308 c. 11: 1 1 2 2 1 1 1 2 N D3 SD: 40.9099 c. M: 74.1325 c. 12: 1 2 2 2 1 1 1 2 N SD: 21.6459 c. M: 46.2392 c. 13: 2 1 2 2 2 1 1 2 P D3 SD: 25.2018 c. M:-38.3762 c. 15: 2 2 2 3 1 2 1 2 N SD: 27.0527 c. M:-47.4157 c. 16: 2 2 2 3 1 2 1 3 N T3 SD: 22.3022 c. M: 44.9018 c. 17: 2 2 3 3 1 2 1 3 N SD: 13.1329 c. M:-24.4387 c. 18: 2 2 3 3 2 2 1 3 N SD: 12.8884 c. M: 25.6477 c. 23: 3 3 3 4 2 3 1 4 N SD: 10.9263 c. M:-20.7291 c. 27: 3 4 4 4 3 3 1 5 N SD: 11.8770 c. M:-18.7967 c. 30: 4 3 5 5 3 3 2 5 N SD: 7.6174 c. M:-13.7608 c. 35: 4 5 5 6 3 4 2 6 N SD: 7.1529 c. M:-16.2571 c. 40: 5 5 6 7 4 4 2 7 N SD: 7.0328 c. M:-15.0982 c. 41: 5 5 6 7 4 5 2 7 N SD: 6.3294 c. M: 10.8382 c. 48: 6 6 7 8 5 5 3 8 N SD: 5.1770 c. M:-7.6856 c. 53: 6 7 8 9 5 6 3 9 N SD: 4.3825 c. M: 10.3901 c. 57: 7 7 9 9 6 6 3 10 N SD: 4.0129 c. M: 7.7595 c. 58: 7 7 9 10 5 7 3 10 N SD: 3.8730 c. M: 8.6949 c. 63: 8 7 10 11 6 7 3 11 N SD: 4.8531 c. M:-7.0582 c. 65: 8 8 10 11 6 7 4 11 N SD: 2.3751 c. M:-4.3387 c. 98: 12 12 15 17 9 11 5 17 N SD: 2.3471 c. M:-4.3372 c. 100: 12 12 16 17 9 11 6 17 N SD: 2.6500 c. M: 4.3144 c. 106: 13 13 16 18 10 12 6 18 N SD: 2.4125 c. M: 3.6591 c. 115: 14 14 18 19 11 13 6 20 N SD: 1.6538 c. M: 3.1828 c. 122: 15 15 19 20 12 13 7 21 N SD: 1.9961 c. M:-2.8364 c. 127: 15 16 20 21 12 14 7 22 N SD: 1.9778 c. M: 4.5069 c. 132: 16 16 21 22 12 15 7 23 N SD: 1.9267 c. M: 3.9927 c. 139: 17 17 21 24 13 15 8 24 N SD: 1.8557 c. M: 4.3107 c. 145: 18 17 23 24 14 16 8 25 N SD: 1.7342 c. M: 2.8230 c. 148: 18 18 23 25 14 16 8 26 N SD: 1.4313 c. M: 3.3952 c. 155: 19 19 24 26 15 17 8 27 N SD: 1.6431 c. M:-2.7572 c. 157: 19 19 25 26 15 17 9 27 N SD: 1.3619 c. M:-2.3978 c. 172: 21 21 27 29 16 19 9 30 N SD: 1.4711 c. M:-2.2773 c. 180: 22 22 28 30 17 20 10 31 N SD: 0.9510 c. M: 1.5685 c. 213: 26 26 33 36 20 23 12 37 N SD: 0.9613 c. M: 2.3314 c. 220: 27 27 34 37 21 24 12 38 N SD: 1.1233 c. M:-2.2311 c. 231: 28 28 36 39 22 25 13 40 N SD: 0.9757 c. M: 1.5998 c. 238: 29 29 37 40 23 26 13 41 N SD: 0.8836 c. M:-1.7368 c. 255: 31 31 40 43 24 28 14 44 N SD: 0.6028 c. M:-0.9093 c. 320: 39 39 50 54 30 35 18 55 N SD: 0.6398 c. M:-1.1657 c. 329: 40 40 51 56 31 36 18 57 N SD: 0.5957 c. M: 1.3193 c. 386: 47 47 60 65 37 42 21 67 N SD: 0.5288 c. M:-0.9531 c. 394: 48 48 61 67 37 43 22 68 N SD: 0.4737 c. M: 0.9583 c. 403: 49 49 63 68 38 44 22 70 N SD: 0.4669 c. M: 1.0211 c. 435: 53 53 68 73 41 48 24 75 N SD: 0.4475 c. M:-0.8692 c. 444: 54 54 69 75 42 49 24 77 N SD: 0.5125 c. M: 0.7525 c. 451: 55 55 70 76 43 49 25 78 N SD: 0.3231 c. M:-0.6636 c. 468: 57 57 73 79 44 51 26 81 N SD: 0.3505 c. M: 0.6341 c. 509: 62 62 79 86 48 56 28 88 N SD: 0.2599 c. M: 0.5454 c. 574: 70 70 89 97 54 63 32 99 N SD: 0.3062 c. M: 0.4767 c. 583: 71 71 91 98 55 64 32 101 N SD: 0.2781 c. M: 0.4746 c. 666: 81 81 104 112 63 73 37 115 N SD: 0.2688 c. M: 0.4225 c. 706: 86 86 110 119 67 77 39 122 N SD: 0.2205 c. M:-0.5656 c. 764: 93 93 119 129 72 84 42 132 N SD: 0.2009 c. M:-0.4265 c. 821: 100 100 128 138 78 90 45 142 N SD: 0.2293 c. M:-0.3997 c. 829: 101 101 129 140 78 91 46 143 N SD: 0.2138 c. M:-0.4193 c. 886: 108 108 138 149 84 97 49 153 N SD: 0.1835 c. M:-0.3274 c. 960: 117 117 149 162 91 105 53 166 N SD: 0.1712 c. M: 0.3808 c. 977: 119 119 152 165 92 107 54 169 N SD: 0.1501 c. M:-0.2349 c. 1215: 148 148 189 205 115 133 67 210 N SD: 0.0918 c. M:-0.1599 c. 1683: 205 205 262 284 159 184 93 291 N SD: 0.0908 c. M:-0.1963 c. 1798: 219 219 280 303 170 197 99 311 N SD: 0.0716 c. M: 0.1483 c. 1863: 227 227 290 314 176 204 103 322 N SD: 0.0600 c. M:-0.1172 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: 10.2557 cents 3 x x 4 x x 5 x 6 S SD: 15.3287 cents 4 x x 5:6 x x 7:8 S SD: 24.4952 cents 5 x 6 x 7:8 x 9:10 S SD: 21.2697 cents 6 x 7:8:9 x 10:11:12 S SD: 13.3402 cents 7 x 8:9:10:11:12 x 14 S SD: 16.6413 cents 8:9 x 11:12:13 x 14:16 SD: 17.9535 cents 9:10:11:12:13:14:15:16:18 S SD: 12.1055 cents 10:11:12:13:15:16:17:18:20 SD: 6.8174 cents 20:22:24:26:30:32:34:35:40 SD: 6.7470 cents 21:23:25:28:31:33:36:37:42 SD: 3.8980 cents 22:24:26:29:33:35:38:39:44 SD: 3.8096 cents 31:34:37:41:46:49:53:55:62 SD: 2.5624 cents 43:47:51:57:64:68:73:76:86 SD: 2.3133 cents 44:48:52:58:65:70:75:78:88 SD: 1.5584 cents 65:71:77:86:96:103:111:115:130 SD: 1.4960 cents 66:72:78:87:98:104:113:117:132 SD: 1.3729 cents 72:78:85:95:107:114:123:128:144 SD: 1.3508 cents 75:82:89:99:111:119:128:133:150 SD: 1.3311 cents 79:86:94:104:117:125:135:140:158 SD: 1.2103 cents 81:88:96:107:120:128:138:144:162 SD: 0.9216 cents 93:101:110:123:138:147:159:165:186 SD: 0.8964 cents 103:112:122:136:153:163:176:183:206 SD: 0.6483 cents 137:149:162:181:203:217:234:243:274 SD: 0.5195 cents 147:160:174:194:218:233:251:261:294 SD: 0.4013 cents 191:208:226:252:283:302:326:339:382 SD: 0.3523 cents 216:235:256:285:320:342:369:383:432 SD: 0.3341 cents 239:260:283:315:354:378:408:424:478 SD: 0.2820 cents 261:284:309:344:387:413:446:463:522 SD: 0.2306 cents 338:368:400:446:501:535:577:600:676 SD: 0.2304 cents 342:372:405:451:507:541:584:607:684 SD: 0.1762 cents 386:420:457:509:572:611:659:685:772 SD: 0.1008 cents