Scala analysis: CD08_15_Egypt
Prière commune des Mawlawî - Mustafa Fahreddin Dede (farahnak, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 157.374 cents 157.373575 2: 297.274 cents 297.273539 3: 511.534 cents 511.533626 4: 663.727 cents 663.727109 5: 788.531 cents 788.530506 6: 1009.511 cents 1009.510535 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 190.4895 cents 190.4895 1: 157.3736 cents 157.3736 2: 139.9000 cents 139.9000 3: 214.2601 cents 214.2601 4: 152.1935 cents 152.1935 5: 124.8034 cents 124.8034 6: 220.9800 cents 220.9800 7: 190.4895 cents 190.4895
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 124.80340 cents 1: 1 139.89996 cents 1: 1 152.19348 cents 1: 1 157.37357 cents 1: 1 190.48946 cents 1: 1 214.26009 cents 1: 1 220.98003 cents 2: 1 276.99688 cents 2: 1 297.27354 cents 2: 1 345.78343 cents 2: 1 347.86304 cents 2: 1 354.16005 cents 2: 1 366.45357 cents 2: 1 411.46949 cents 3: 1 487.76300 cents 3: 1 491.25697 cents 3: 1 497.97691 cents 3: 1 506.35353 cents 3: 1 511.53363 cents 3: 1 536.27289 cents 3: 1 568.84307 cents 4: 1 631.15693 cents 4: 1 663.72711 cents 4: 1 688.46637 cents 4: 1 693.64647 cents 4: 1 702.02309 cents 4: 1 708.74303 cents 4: 1 712.23700 cents 5: 1 788.53051 cents 5: 1 833.54643 cents 5: 1 845.83995 cents 5: 1 852.13696 cents 5: 1 854.21657 cents 5: 1 902.72646 cents 5: 1 923.00312 cents 6: 1 979.01997 cents 6: 1 985.73991 cents 6: 1 1009.51054 cents 6: 1 1042.62643 cents 6: 1 1047.80652 cents 6: 1 1060.10004 cents 6: 1 1075.19660 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 : 157.4 297.3 511.5 663.7 788.5 1009.5 1200.0 157.4 : 139.9 354.2 506.4 631.2 852.1 1042.6 1200.0 297.3 : 214.3 366.5 491.3 712.2 902.7 1060.1 1200.0 511.5 : 152.2 277.0 498.0 688.5 845.8 985.7 1200.0 663.7 : 124.8 345.8 536.3 693.6 833.5 1047.8 1200.0 788.5 : 221.0 411.5 568.8 708.7 923.0 1075.2 1200.0 1009.5: 190.5 347.9 487.8 702.0 854.2 979.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 124.8034 .. 220.9800 cents 96.17663 cents 124.80340 cents 2: 276.9969 .. 411.4695 cents 134.47261 cents 56.01685 cents 3: 487.7630 .. 568.8431 cents 81.08006 cents 76.29351 cents 4: 631.1569 .. 712.2370 cents 81.08006 cents 62.31386 cents 5: 788.5305 .. 923.0031 cents 134.47261 cents 76.29351 cents 6: 979.0200 .. 1075.1966 cents 96.17663 cents 56.01685 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 124.80340 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 220.98003 cents Average / Smallest step : 1.373589 Largest / Average step : 1.289050 Largest / Smallest step : 1.770625 Median interval of one step : 157.37357 cents, amount: 1 Least squares average step : 166.72247 cents, oct.: 1167.05729 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DBFCAGE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 56.01685 cents Scale diversity : 1.548113 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.480451 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 : 2.07961 cents Number of recognisable fifths : 5, average 701.0232 cents Number of appreciable fifths : 4, average 704.1624 cents Best fifths form a closed circle Best major 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: 33.4608 c. M:-68.6124 c. Lebeng 8: 1 1 1 1 1 2 1 P M ME S SD: 39.7013 c. M: 63.7271 c. 9: 1 1 2 1 1 2 1 P M ME S SD: 27.7668 c. M:-57.1561 c. 11: 1 2 2 1 1 2 2 P D3 S SD: 28.9154 c. M: 48.2827 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 22.3453 c. M:-42.6264 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 13: 2 1 3 1 2 2 2 P D3 S SD: 26.9233 c. M:-42.3125 c. 14: 2 1 3 2 1 3 2 P T3 SD: 20.5455 c. M: 40.1307 c. 15: 2 2 2 2 2 3 2 SP M ME S SD: 21.1859 c. M: 31.5336 c. 16: 2 2 3 2 2 3 2 SP M ME S SD: 21.8424 c. M:-40.4895 c. Antimixolydian 17: 2 2 3 2 2 3 3 SP D3 S SD: 17.7071 c. M: 28.4330 c. Safi al-Din's maqam Husaini 20: 3 2 4 2 2 4 3 P SD: 14.7668 c. M:-28.4664 c. 21: 3 2 4 3 2 4 3 SP T3 SD: 13.7167 c. M:-21.9872 c. 23: 3 3 4 3 2 4 4 SP SD: 11.5346 c. M: 18.2062 c. 24: 3 3 4 3 3 4 4 SP D3 S SD: 9.2987 c. M: 13.7271 c. Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian 29: 4 3 5 4 3 5 5 SP SD: 9.4579 c. M: 16.4071 c. 31: 4 4 5 4 3 6 5 SP SD: 8.2486 c. M: 14.3370 c. 32: 4 4 6 4 3 6 5 SP SD: 7.3700 c. M:-13.4664 c. 33: 4 4 6 4 4 6 5 SP SD: 8.2772 c. M: 11.9190 c. 36: 5 4 6 5 4 6 6 SP SD: 8.0840 c. M: 11.5336 c. 37: 5 4 7 4 4 7 6 SP SD: 8.0508 c. M: 15.0785 c. 38: 5 4 7 5 4 7 6 SP SD: 5.5094 c. M: 13.0630 c. 40: 5 5 7 5 4 8 6 SP SD: 6.1044 c. M:-10.4895 c. 43: 6 5 7 6 4 8 7 SP SD: 7.4768 c. M:-10.0683 c. 44: 6 5 8 5 5 8 7 SP SD: 5.0849 c. M: 9.1817 c. 49: 6 6 9 6 5 9 8 SP SD: 5.1730 c. M: 10.4348 c. 52: 7 6 9 7 5 10 8 SP SD: 4.1345 c. M:-5.8741 c. 56: 7 7 10 7 6 10 9 SP SD: 3.6648 c. M: 7.3736 c. 61: 8 7 11 8 6 11 10 SP SD: 3.2209 c. M: 6.2318 c. 69: 9 8 12 9 7 13 11 SP SD: 3.7586 c. M: 7.1858 c. 70: 9 8 13 9 7 13 11 SP SD: 3.3471 c. M: 5.8450 c. 76: 10 9 13 10 8 14 12 SP SD: 2.6530 c. M: 6.2705 c. 82: 11 9 15 10 9 15 13 SP SD: 3.0337 c. M: 5.1905 c. 90: 12 10 16 12 9 17 14 SP SD: 3.2258 c. M: 4.8670 c. 94: 12 11 17 12 10 17 15 SP SD: 2.4327 c. M: 4.1821 c. 96: 13 11 17 12 10 18 15 SP SD: 2.5677 c. M:-5.1264 c. 101: 13 12 18 13 10 19 16 SP SD: 2.1003 c. M: 4.3721 c. 105: 14 12 19 13 11 19 17 SP SD: 2.0584 c. M: 3.7962 c. 108: 14 13 19 14 11 20 17 SP SD: 1.7828 c. M:-2.9396 c. 125: 16 15 22 16 13 23 20 SP SD: 1.9868 c. M: 3.7736 c. 132: 17 16 23 17 14 24 21 SP SD: 1.9727 c. M: 2.8281 c. 134: 18 15 24 17 14 25 21 SP SD: 1.9291 c. M:-3.8205 c. 137: 18 16 24 18 14 25 22 SP SD: 1.7507 c. M: 3.5044 c. 145: 19 17 26 18 15 27 23 SP SD: 1.2583 c. M: 2.3236 c. 146: 19 17 26 19 15 27 23 SP SD: 1.3949 c. M:-2.0263 c. 152: 20 18 27 19 16 28 24 SP SD: 1.3410 c. M:-2.7265 c. 181: 24 21 32 23 19 33 29 SP SD: 1.1424 c. M: 1.7757 c. 183: 24 21 33 23 19 34 29 SP SD: 1.1753 c. M: 2.1916 c. 190: 25 22 34 24 20 35 30 SP SD: 0.6217 c. M:-1.0158 c. 251: 33 29 45 32 26 46 40 SP SD: 0.5623 c. M: 0.8592 c. 291: 38 34 52 37 30 54 46 SP SD: 0.5492 c. M: 0.9016 c. 396: 52 46 71 50 41 73 63 SP SD: 0.3942 c. M: 0.6517 c. 403: 53 47 72 51 42 74 64 SP SD: 0.4186 c. M:-0.6252 c. 441: 58 51 79 56 46 81 70 SP SD: 0.3871 c. M: 0.6749 c. 472: 62 55 84 60 49 87 75 SP SD: 0.2890 c. M: 0.5167 c. 586: 77 68 105 74 61 108 93 SP SD: 0.2571 c. M:-0.4118 c. 662: 87 77 118 84 69 122 105 SP SD: 0.2205 c. M: 0.3554 c. 694: 91 81 124 88 72 128 110 SP SD: 0.1876 c. M:-0.2877 c. 875: 115 102 156 111 91 161 139 SP SD: 0.1874 c. M:-0.3407 c. 945: 124 110 169 120 98 174 150 SP SD: 0.1818 c. M:-0.3999 c. 969: 127 113 173 123 101 178 154 SP SD: 0.1587 c. M:-0.3240 c. 1058: 139 123 189 134 110 195 168 SP SD: 0.1701 c. M:-0.2824 c. 1114: 146 130 199 141 116 205 177 SP SD: 0.1139 c. M: 0.1748 c. 1166: 153 136 208 148 121 215 185 SP SD: 0.1110 c. M: 0.1943 c. 1260: 165 147 225 160 131 232 200 SP SD: 0.1134 c. M: 0.2307 c. 1304: 171 152 233 165 136 240 207 SP SD: 0.1094 c. M: 0.2302 c. 1356: 178 158 242 172 141 250 215 SP SD: 0.1066 c. M:-0.2240 c. 1450: 190 169 259 184 151 267 230 SP SD: 0.1195 c. M: 0.1701 c. 1555: 204 181 278 197 162 286 247 SP SD: 0.1093 c. M: 0.1674 c. 1595: 209 186 285 202 166 294 253 SP SD: 0.1066 c. M: 0.1534 c. 1607: 211 187 287 204 167 296 255 SP SD: 0.0931 c. M:-0.1871 c. 1663: 218 194 297 211 173 306 264 SP SD: 0.0887 c. M:-0.1646 c. 1732: 227 202 309 220 180 319 275 SP SD: 0.0978 c. M: 0.2172 c. 1776: 233 207 317 225 185 327 282 SP SD: 0.0885 c. M: 0.2136 c. 1808: 237 211 323 229 188 333 287 SP SD: 0.0833 c. M:-0.1920 c. 1846: 242 215 330 234 192 340 293 SP SD: 0.0827 c. M: 0.1988 c. 1884: 247 220 336 239 196 347 299 SP SD: 0.0775 c. M:-0.1787 c. 1945: 255 227 347 247 202 358 309 SP SD: 0.0927 c. M: 0.1532 c. 1954: 256 228 349 248 203 360 310 SP SD: 0.0923 c. M: 0.1576 c. 1998: 262 233 357 253 208 368 317 SP SD: 0.0843 c. M:-0.1781 c. 2027: 266 236 362 257 211 373 322 SP SD: 0.0808 c. M: 0.1371 c. 2074: 272 242 370 263 216 382 329 SP SD: 0.0854 c. M:-0.1327 c. 2128: 279 248 380 270 221 392 338 SP SD: 0.0939 c. M: 0.1846 c. 2135: 280 249 381 271 222 393 339 SP SD: 0.0466 c. M:-0.0668 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: 19.1139 cents 3 x x 4 x 5 x 6 S SD: 32.2576 cents 4 x 5 x 6 x 7:8 S SD: 26.2735 cents 5 x 6:7 x 8:9:10 S SD: 15.5866 cents 6 x 7:8:9 x 11:12 SD: 12.8932 cents 7 x 8:9:10:11:13:14 SD: 21.2498 cents 8:9:10:11:12:13:14:16 S SD: 18.8965 cents 9:10:11:12:13:14:16:18 S SD: 9.8919 cents 11:12:13:15:16:17:20:22 SD: 7.6262 cents 17:19:20:23:25:27:30:34 SD: 7.1217 cents 19:21:23:26:28:30:34:38 SD: 7.0449 cents 20:22:24:27:29:32:36:40 SD: 5.6728 cents 21:23:25:28:31:33:38:42 SD: 3.6330 cents 32:35:38:43:47:50:57:64 SD: 2.7179 cents 38:42:45:51:56:60:68:76 SD: 2.6526 cents 43:47:51:58:63:68:77:86 SD: 1.3457 cents 64:70:76:86:94:101:115:128 SD: 0.8541 cents 96:105:114:129:141:151:172:192 SD: 0.7502 cents 116:127:138:156:170:183:208:232 SD: 0.6441 cents 128:140:152:172:188:202:229:256 SD: 0.5723 cents 139:152:165:187:204:219:249:278 SD: 0.5245 cents 177:194:210:238:260:279:317:354 SD: 0.4463 cents 201:220:239:270:295:317:360:402 SD: 0.4104 cents 229:251:272:308:336:361:410:458 SD: 0.3672 cents 241:264:286:324:354:380:432:482 SD: 0.3560 cents 250:274:297:336:367:394:448:500 SD: 0.3112 cents 274:300:325:368:402:432:491:548 SD: 0.2962 cents 283:310:336:380:415:446:507:566 SD: 0.2800 cents 293:321:348:394:430:462:525:586 SD: 0.2216 cents 326:357:387:438:478:514:584:652 SD: 0.1826 cents 390:427:463:524:572:615:699:780 SD: 0.1580 cents 475:520:564:638:697:749:851:950 SD: 0.1493 cents 503:551:597:676:738:793:901:1006 SD: 0.1405 cents 556:609:660:747:816:877:996:1112 SD: 0.1282 cents 567:621:673:762:832:894:1016:1134 SD: 0.1024 cents