Scala analysis: CD01_05_Egypt
Très dédaigneux / Les vents de l'amour ont soufflé - Darwîsh Muhammad al-Harîrî (hijaz, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 198.931 cents 198.930928 2: 334.351 cents 334.350509 3: 568.960 cents 568.960083 4: 688.490 cents 688.490169 5: 908.240 cents 908.239518 6: 1039.739 cents 1039.739164 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 160.2608 cents 160.2608 1: 198.9309 cents 198.9309 2: 135.4196 cents 135.4196 3: 234.6096 cents 234.6096 4: 119.5301 cents 119.5301 5: 219.7493 cents 219.7493 6: 131.4996 cents 131.4996 7: 160.2608 cents 160.2608
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 119.53009 cents 1: 1 131.49965 cents 1: 1 135.41958 cents 1: 1 160.26084 cents 1: 1 198.93093 cents 1: 1 219.74935 cents 1: 1 234.60957 cents 2: 1 291.76048 cents 2: 1 334.35051 cents 2: 1 339.27944 cents 2: 1 351.24899 cents 2: 1 354.13966 cents 2: 1 359.19176 cents 2: 1 370.02916 cents 3: 1 470.77908 cents 3: 1 489.55924 cents 3: 1 490.69141 cents 3: 1 494.61134 cents 3: 1 511.50983 cents 3: 1 568.96008 cents 3: 1 573.88901 cents 4: 1 626.11099 cents 4: 1 631.03992 cents 4: 1 688.49017 cents 4: 1 705.38866 cents 4: 1 709.30859 cents 4: 1 710.44076 cents 4: 1 729.22092 cents 5: 1 829.97084 cents 5: 1 840.80824 cents 5: 1 845.86034 cents 5: 1 848.75101 cents 5: 1 860.72057 cents 5: 1 865.64949 cents 5: 1 908.23952 cents 6: 1 965.39043 cents 6: 1 980.25065 cents 6: 1 1001.06907 cents 6: 1 1039.73916 cents 6: 1 1064.58042 cents 6: 1 1068.50035 cents 6: 1 1080.46991 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 : 198.9 334.4 569.0 688.5 908.2 1039.7 1200.0 198.9 : 135.4 370.0 489.6 709.3 840.8 1001.1 1200.0 334.4 : 234.6 354.1 573.9 705.4 865.6 1064.6 1200.0 569.0 : 119.5 339.3 470.8 631.0 830.0 965.4 1200.0 688.5 : 219.7 351.2 511.5 710.4 845.9 1080.5 1200.0 908.2 : 131.5 291.8 490.7 626.1 860.7 980.3 1200.0 1039.7: 160.3 359.2 494.6 729.2 848.8 1068.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 119.5301 .. 234.6096 cents 115.07949 cents 119.53009 cents 2: 291.7605 .. 370.0292 cents 78.26867 cents 57.15091 cents 3: 470.7791 .. 573.8890 cents 103.10993 cents 100.74993 cents 4: 626.1110 .. 729.2209 cents 103.10993 cents 52.22198 cents 5: 829.9708 .. 908.2395 cents 78.26867 cents 100.74993 cents 6: 965.3904 .. 1080.4699 cents 115.07949 cents 57.15091 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 119.53009 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 234.60957 cents Average / Smallest step : 1.434188 Largest / Average step : 1.368556 Largest / Smallest step : 1.962766 Median interval of one step : 160.26084 cents, amount: 1 Least squares average step : 175.05790 cents, oct.: 1225.40527 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : ECGAFBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 52.22198 cents Scale diversity : 1.510290 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.505903 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 : 1.13217 cents Number of recognisable fifths : 4, average 703.4070 cents Number of appreciable fifths : 3, average 708.3793 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% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 30.6159 c. M: 54.6744 c. Lebeng 12: 2 1 3 1 2 1 2 P D3 SD: 23.6768 c. M: 39.7392 c. Mela Hemavati, Raga Desisimharavam, Maqam Nakriz, Tunisian, Dorian sharp 4, Misheberekh: Jewish, Nigriz, Pimenikos, Souzinak (Peiraiotikos Minor): Greece, Ukrainian Dorian, Ukrainian Minor, Kaffa, Gnossiennes 14: 2 2 3 1 3 1 2 P T3 SD: 21.1222 c. M:-34.6176 c. 16: 3 1 4 1 3 2 2 P S SD: 21.3079 c. M: 34.3505 c. 17: 3 2 3 2 3 2 2 SP M ME S SD: 13.5416 c. M:-19.0844 c. Neutral Hypolydian, Mohajira-7 21: 3 3 4 2 4 2 3 SP T3 SD: 11.9751 c. M: 27.5024 c. 24: 4 3 4 3 4 3 3 SP M ME S SD: 11.4092 c. M: 18.9601 c. Neutral Hypolydian, Mohajira-7, Iced Lydian 25: 4 3 5 2 5 3 3 SP SD: 9.6422 c. M: 16.4902 c. 28: 5 3 5 3 5 3 4 SP T3 SD: 9.6221 c. M:-15.3548 c. 29: 5 3 6 3 5 3 4 SP SD: 7.9046 c. M:-14.9581 c. 30: 5 3 6 3 6 3 4 P SD: 8.4331 c. M: 14.3505 c. 32: 5 4 6 3 6 4 4 SP SD: 8.7626 c. M: 13.4902 c. 36: 6 4 7 4 6 4 5 SP SD: 5.9622 c. M:-11.5098 c. 40: 7 4 8 4 7 5 5 SP S SD: 6.7399 c. M:-11.0691 c. 42: 7 5 8 4 8 4 6 SP SD: 5.9591 c. M: 11.1677 c. 44: 7 5 9 4 8 5 6 SP SD: 6.0052 c. M: 8.2395 c. 50: 8 6 10 5 9 5 7 SP SD: 5.7415 c. M: 7.7392 c. 53: 9 6 10 5 10 6 7 SP SD: 4.7062 c. M: 9.2449 c. 54: 9 6 11 5 10 6 7 SP SD: 3.9727 c. M:-8.8177 c. 61: 10 7 12 6 11 7 8 SP SD: 1.9488 c. M: 3.3215 c. 103: 17 12 20 10 19 11 14 SP SD: 1.9403 c. M:-3.5136 c. 127: 21 14 25 13 23 14 17 SP SD: 1.7209 c. M: 3.6418 c. 133: 22 15 26 13 25 14 18 SP SD: 1.7843 c. M:-3.0387 c. 140: 23 16 27 14 26 15 19 SP SD: 2.0104 c. M: 3.2458 c. 141: 23 16 28 14 26 15 19 SP SD: 1.9363 c. M: 3.1862 c. 143: 24 16 28 14 26 16 19 SP SD: 1.4738 c. M:-2.4677 c. 164: 27 19 32 16 30 18 22 SP SD: 1.3006 c. M:-2.2349 c. 169: 28 19 33 17 31 18 23 SP SD: 1.2552 c. M: 3.0528 c. 173: 29 19 34 17 32 19 23 SP SD: 1.2446 c. M:-2.2251 c. 186: 31 21 36 19 34 20 25 SP SD: 1.2187 c. M:-1.8324 c. 194: 32 22 38 19 36 21 26 SP SD: 0.9323 c. M: 1.8922 c. 211: 35 24 41 21 39 23 28 SP SD: 0.8934 c. M:-1.7131 c. 223: 37 25 44 22 41 24 30 SP SD: 0.8851 c. M:-1.4435 c. 230: 38 26 45 23 42 25 31 SP SD: 0.6664 c. M: 1.4783 c. 234: 39 26 46 23 43 26 31 SP SD: 0.9199 c. M: 1.3107 c. 247: 41 28 48 25 45 27 33 SP SD: 0.6675 c. M:-1.3884 c. 279: 46 32 54 28 51 31 37 SP SD: 0.9106 c. M: 1.2181 c. 283: 47 32 55 28 52 31 38 SP SD: 0.8440 c. M: 1.5644 c. 284: 47 32 56 28 52 31 38 SP SD: 0.6266 c. M:-1.4625 c. 291: 48 33 57 29 53 32 39 SP SD: 0.5977 c. M: 1.0230 c. 308: 51 35 60 31 56 34 41 SP SD: 0.5739 c. M:-1.1202 c. 338: 56 38 66 34 62 37 45 SP SD: 0.5288 c. M: 0.9127 c. 373: 62 42 73 37 68 41 50 SP SD: 0.5244 c. M: 1.0009 c. 399: 66 45 78 40 73 44 53 SP SD: 0.4696 c. M:-0.8623 c. 403: 67 45 79 40 74 44 54 SP SD: 0.5089 c. M: 0.8517 c. 420: 70 47 82 42 77 46 56 SP SD: 0.4603 c. M:-1.0691 c. 441: 73 50 86 44 81 48 59 SP SD: 0.3196 c. M:-0.6040 c. 481: 80 54 94 48 88 53 64 SP SD: 0.3433 c. M:-0.6533 c. 502: 83 57 98 50 92 55 67 SP SD: 0.2395 c. M: 0.5246 c. 629: 104 71 123 63 115 69 84 SP SD: 0.3311 c. M: 0.5208 c. 645: 107 73 126 64 118 71 86 SP SD: 0.2960 c. M:-0.5332 c. 650: 108 73 127 65 119 71 87 SP SD: 0.2698 c. M:-0.4537 c. 675: 112 76 132 67 124 74 90 SP SD: 0.2403 c. M: 0.4902 c. 711: 118 80 139 71 130 78 95 SP SD: 0.1620 c. M:-0.2252 c. 905: 150 102 177 90 166 99 121 SP SD: 0.1656 c. M: 0.3134 c. 922: 153 104 180 92 169 101 123 SP SD: 0.1593 c. M:-0.2204 c. 966: 160 109 189 96 177 106 129 SP SD: 0.1596 c. M: 0.2914 c. 983: 163 111 192 98 180 108 131 SP SD: 0.1446 c. M:-0.3422 c. 1152: 191 130 225 115 211 126 154 SP SD: 0.1077 c. M: 0.2101 c. 1206: 200 136 236 120 221 132 161 SP SD: 0.1193 c. M:-0.2182 c. 1213: 201 137 237 121 222 133 162 SP SD: 0.0672 c. M: 0.1225 c. 1978: 328 223 387 197 362 217 264 SP SD: 0.0737 c. M:-0.0996 c. 2118: 351 239 414 211 388 232 283 SP SD: 0.0775 c. M: 0.1216 c. 2135: 354 241 417 213 391 234 285 SP SD: 0.0758 c. M: 0.1545 c. 2172: 360 245 425 216 398 238 290 SP SD: 0.0688 c. M:-0.1007 c. 2358: 391 266 461 235 432 258 315 SP SD: 0.0686 c. M:-0.1574 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: 6.7324 cents 3 x x 4 x 5 x 6 S SD: 24.9427 cents 4 x 5 x 6:7 x 8 S SD: 20.2364 cents 5 x 6:7 x 8:9:10 S SD: 19.9643 cents 6 x 7:8:9:10:11:12 S SD: 17.0185 cents 7:8:9:10 x 12:13:14 S SD: 20.5365 cents 8:9:10:11:12:14:15:16 S SD: 13.7346 cents 9:10:11 x 13:15:16:18 SD: 12.4833 cents 10:11:12:14:15:17:18:20 SD: 7.0920 cents 16:18:19:22:24:27:29:32 SD: 6.3619 cents 18:20:22:25:27:30:33:36 SD: 5.1268 cents 23:26:28:32:34:39:42:46 SD: 2.8797 cents 33:37:40:46:49:56:60:66 SD: 1.6403 cents 51:57:62:71:76:86:93:102 SD: 1.3346 cents 57:64:69:79:85:96:104:114 SD: 1.2485 cents 74:83:90:103:110:125:135:148 SD: 0.8951 cents 80:90:97:111:119:135:146:160 SD: 0.8919 cents 90:101:109:125:134:152:164:180 SD: 0.4561 cents 164:184:199:228:244:277:299:328 SD: 0.2696 cents 254:285:308:353:378:429:463:508 SD: 0.2113 cents 329:369:399:457:490:556:600:658 SD: 0.1932 cents 352:395:427:489:524:595:642:704 SD: 0.1564 cents 442:496:536:614:658:747:806:884 SD: 0.1406 cents 493:553:598:685:734:833:899:986 SD: 0.1164 cents