Scala analysis: CD05_07_Egypt
Mon coeur, par ton regard / Ô liaison qui honore - ‘Abduh al-Ḥāmūlī (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 203.392 cents 203.392261 2: 311.490 cents 311.489966 3: 587.337 cents 587.337167 4: 705.346 cents 705.345546 5: 917.816 cents 917.816148 6: 1060.038 cents 1060.038093 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 139.9619 cents 139.9619 1: 203.3923 cents 203.3923 2: 108.0977 cents 108.0977 3: 275.8472 cents 275.8472 4: 118.0084 cents 118.0084 5: 212.4706 cents 212.4706 6: 142.2219 cents 142.2219 7: 139.9619 cents 139.9619
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 108.09770 cents 1: 1 118.00838 cents 1: 1 139.96191 cents 1: 1 142.22194 cents 1: 1 203.39226 cents 1: 1 212.47060 cents 1: 1 275.84720 cents 2: 1 282.18385 cents 2: 1 311.48997 cents 2: 1 330.47898 cents 2: 1 343.35417 cents 2: 1 354.69255 cents 2: 1 383.94491 cents 2: 1 393.85558 cents 3: 1 451.45187 cents 3: 1 472.70093 cents 3: 1 485.57611 cents 3: 1 494.65445 cents 3: 1 501.95328 cents 3: 1 587.33717 cents 3: 1 606.32618 cents 4: 1 593.67382 cents 4: 1 612.66283 cents 4: 1 698.04671 cents 4: 1 705.34555 cents 4: 1 714.42389 cents 4: 1 727.29907 cents 4: 1 748.54813 cents 5: 1 806.14442 cents 5: 1 816.05509 cents 5: 1 845.30745 cents 5: 1 856.64583 cents 5: 1 869.52102 cents 5: 1 888.51003 cents 5: 1 917.81615 cents 6: 1 924.15280 cents 6: 1 987.52940 cents 6: 1 996.60774 cents 6: 1 1057.77806 cents 6: 1 1060.03809 cents 6: 1 1081.99162 cents 6: 1 1091.90230 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 : 203.4 311.5 587.3 705.3 917.8 1060.0 1200.0 203.4 : 108.1 383.9 502.0 714.4 856.6 996.6 1200.0 311.5 : 275.8 393.9 606.3 748.5 888.5 1091.9 1200.0 587.3 : 118.0 330.5 472.7 612.7 816.1 924.2 1200.0 705.3 : 212.5 354.7 494.7 698.0 806.1 1082.0 1200.0 917.8 : 142.2 282.2 485.6 593.7 869.5 987.5 1200.0 1060.0: 140.0 343.4 451.5 727.3 845.3 1057.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 108.0977 .. 275.8472 cents 167.74950 cents 108.09770 cents 2: 282.1839 .. 393.8556 cents 111.67173 cents 6.33665 cents 3: 451.4519 .. 606.3262 cents 154.87431 cents 57.59629 cents 4: 593.6738 .. 748.5481 cents 154.87431 cents -12.65236 cents 5: 806.1444 .. 917.8161 cents 111.67173 cents 57.59629 cents 6: 924.1528 .. 1091.9023 cents 167.74950 cents 6.33665 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 108.09770 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 275.84720 cents Average / Smallest step : 1.585867 Largest / Average step : 1.609109 Largest / Smallest step : 2.551832 Median interval of one step : 142.22194 cents, amount: 1 Least squares average step : 176.85054 cents, oct.: 1237.95376 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : EAGBFDC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.33665 cents Scale diversity : 1.567367 Lumma stability : 0.286718 Lumma impropriety factor : 0.010544 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 : 2.26004 cents Number of recognisable fifths : 3, average 705.9387 cents Number of appreciable fifths : 2, average 701.6961 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 135.8853 cents: 5 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 42.0864 c. M: 73.0515 c. Lebeng 8: 1 1 2 1 1 1 1 P M ME S SD: 28.1712 c. M: 53.3923 c. 10: 2 1 2 1 2 1 1 P M ME S SD: 29.8721 c. M:-48.5100 c. 12: 2 1 3 1 2 2 1 P D3 SD: 17.9157 c. M:-39.9619 c. Lydian Diminished, Mela Dharmavati, Raga Ambika, Arunajualita, Dumyaraga, Madhuvanti 14: 2 2 3 1 3 1 2 P T3 SD: 24.4029 c. M: 31.9637 c. 16: 3 1 4 1 3 2 2 P S SD: 17.3135 c. M: 30.3455 c. 17: 3 1 4 2 3 2 2 N SD: 14.3080 c. M: 29.1370 c. 18: 3 2 4 2 3 2 2 P T3 S SD: 15.6617 c. M:-27.9878 c. 20: 3 2 5 2 3 3 2 P SD: 15.9024 c. M: 23.3923 c. 22: 4 2 5 2 4 3 2 P SD: 15.5133 c. M:-30.8710 c. Raga Madhuvanti, Ambika 23: 4 2 5 3 4 2 3 N SD: 14.9702 c. M:-25.0892 c. 24: 4 2 6 2 4 3 3 P S SD: 10.3553 c. M: 17.8161 c. 27: 5 2 6 3 5 3 3 N SD: 10.4475 c. M:-18.8300 c. 30: 5 3 7 3 5 4 3 P SD: 11.0987 c. M:-19.9619 c. 31: 5 3 7 3 6 3 4 N SD: 8.9886 c. M: 14.8768 c. 34: 6 3 8 3 6 4 4 P S SD: 6.2123 c. M:-12.6628 c. 41: 7 4 9 4 7 5 5 SP S SD: 6.2668 c. M: 10.4991 c. 43: 7 4 10 4 8 5 5 N SD: 4.7126 c. M: 8.0434 c. 51: 9 4 12 5 9 6 6 N SD: 3.8571 c. M:-8.3724 c. 58: 10 5 13 6 10 7 7 P SD: 4.7976 c. M: 8.0268 c. 59: 10 5 14 6 10 7 7 N SD: 3.8194 c. M:-6.5189 c. 69: 12 6 16 7 12 8 8 N SD: 4.1682 c. M:-7.6979 c. 70: 12 6 16 7 13 8 8 N SD: 3.9731 c. M:-7.8981 c. 76: 13 7 17 8 13 9 9 P SD: 3.1008 c. M:-5.1808 c. 77: 13 7 18 7 14 9 9 N SD: 2.4966 c. M:-4.8706 c. 88: 15 8 20 9 15 11 10 P SD: 2.7079 c. M: 4.1798 c. 94: 16 8 22 9 17 11 11 N SD: 2.3659 c. M: 5.1070 c. 111: 19 10 25 11 20 13 13 N SD: 2.0462 c. M: 3.5534 c. 112: 19 10 26 11 20 13 13 N SD: 1.7390 c. M:-3.6124 c. 119: 20 11 27 12 21 14 14 N SD: 1.3111 c. M: 2.4632 c. 153: 26 14 35 15 27 18 18 N SD: 1.0607 c. M:-2.2355 c. 165: 28 15 38 16 29 20 19 N SD: 1.1926 c. M:-1.7801 c. 170: 29 15 39 17 30 20 20 N SD: 0.9597 c. M: 1.4548 c. 196: 33 18 45 19 35 23 23 N SD: 0.8621 c. M: 1.3514 c. 213: 36 19 49 21 38 25 25 N SD: 1.0205 c. M: 1.6308 c. 231: 39 21 53 23 41 27 27 N SD: 0.8412 c. M:-1.6644 c. 247: 42 22 57 24 44 29 29 N SD: 0.6359 c. M: 0.9288 c. 301: 51 27 69 30 53 36 35 N SD: 0.6528 c. M: 1.2907 c. 335: 57 30 77 33 59 40 39 N SD: 0.4589 c. M: 0.8012 c. 366: 62 33 84 36 65 43 43 N SD: 0.4615 c. M: 1.0217 c. 378: 64 34 87 37 67 45 44 N SD: 0.3246 c. M: 0.5836 c. 490: 83 44 113 48 87 58 57 N SD: 0.3492 c. M:-0.5512 c. 497: 84 45 114 49 88 59 58 N SD: 0.3614 c. M: 0.6168 c. 531: 90 48 122 52 94 63 62 N SD: 0.2320 c. M:-0.3744 c. 566: 96 51 130 56 100 67 66 N SD: 0.2760 c. M:-0.6615 c. 609: 103 55 140 60 108 72 71 N SD: 0.2434 c. M: 0.4366 c. 643: 109 58 148 63 114 76 75 N SD: 0.2586 c. M:-0.5322 c. 701: 119 63 161 69 124 83 82 N SD: 0.2330 c. M: 0.4090 c. 744: 126 67 171 73 132 88 87 N SD: 0.2720 c. M: 0.5068 c. 762: 129 69 175 75 135 90 89 N SD: 0.2133 c. M:-0.3211 c. 813: 138 73 187 80 144 96 95 N SD: 0.1994 c. M:-0.2978 c. 944: 160 85 217 93 167 112 110 N SD: 0.0837 c. M:-0.1629 c. 1191: 202 107 274 117 211 141 139 N SD: 0.0943 c. M: 0.1550 c. 1475: 250 133 339 145 261 175 172 N SD: 0.0645 c. M: 0.1212 c. 1722: 292 155 396 169 305 204 201 N SD: 0.0851 c. M:-0.1193 c. 1841: 312 166 423 181 326 218 215 N SD: 0.0847 c. M: 0.1793 c. 1953: 331 176 449 192 346 231 228 N SD: 0.0827 c. M:-0.1562 c. 1965: 333 177 452 193 348 233 229 N SD: 0.0743 c. M:-0.1437 c. 2084: 353 188 479 205 369 247 243 N SD: 0.0547 c. M: 0.1293 c. 2135: 362 192 491 210 378 253 249 N SD: 0.0535 c. M: 0.1082 c. 2288: 388 206 526 225 405 271 267 N SD: 0.0654 c. M:-0.1042 c. 2331: 395 210 536 229 413 276 272 N SD: 0.0536 c. M:-0.0732 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: 1.6953 cents 3 x x 4 x 5 x 6 S SD: 31.7849 cents 4 x 5 x 6:7 x 8 S SD: 22.6551 cents 5 x 6:7 x x 9:10 SD: 10.7291 cents 6 x 7:8:9:10:11:12 S SD: 17.6453 cents 7:8 x 10:11:12:13:14 S SD: 14.9099 cents 8:9:10:11:12:14:15:16 S SD: 14.5031 cents 10:11:12:14:15:17:18:20 SD: 8.2408 cents 12 x 14:17:18:20:22:24 SD: 9.8334 cents 14:16:17:20:21:24:26:28 SD: 7.3817 cents 16:18:19:22:24:27:30:32 SD: 7.0628 cents 20:22:24:28:30:34:37:40 SD: 5.6266 cents 22:25:26:31:33:37:41:44 SD: 5.5322 cents 24:27:29:34:36:41:44:48 SD: 3.8270 cents 30:34:36:42:45:51:55:60 SD: 2.6473 cents 40:45:48:56:60:68:74:80 SD: 1.2607 cents 72:81:86:101:108:122:133:144 SD: 1.0873 cents 96:108:115:135:144:163:177:192 SD: 0.6975 cents 97:109:116:136:146:165:179:194 SD: 0.6552 cents 127:143:152:178:191:216:234:254 SD: 0.6488 cents 136:153:163:191:204:231:251:272 SD: 0.5968 cents 137:154:164:192:206:233:253:274 SD: 0.5840 cents 143:161:171:201:215:243:264:286 SD: 0.5307 cents 153:172:183:215:230:260:282:306 SD: 0.3976 cents 193:217:231:271:290:328:356:386 SD: 0.1190 cents