Scala analysis: CD09_07_Egypt
Secours-nous, aide-nous à comprendre / Ô vent de l'est, transmets-leur mon salut - La Confrérie Laythiyya (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 175.032 cents 175.031676 2: 354.000 cents 353.999843 3: 495.689 cents 495.689241 4: 818.510 cents 818.510323 5: 982.585 cents 982.584670 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 217.4153 cents 217.4153 1: 175.0317 cents 175.0317 2: 178.9682 cents 178.9682 3: 141.6894 cents 141.6894 4: 322.8211 cents 322.8211 5: 164.0743 cents 164.0743 6: 217.4153 cents 217.4153
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 141.68940 cents 1: 1 164.07435 cents 1: 1 175.03168 cents 1: 1 178.96817 cents 1: 1 217.41533 cents 1: 1 322.82108 cents 2: 1 320.65757 cents 2: 1 353.99984 cents 2: 1 381.48968 cents 2: 1 392.44701 cents 2: 1 464.51048 cents 2: 1 486.89543 cents 3: 1 495.68924 cents 3: 1 556.52135 cents 3: 1 571.41517 cents 3: 1 628.58483 cents 3: 1 643.47865 cents 3: 1 704.31076 cents 4: 1 713.10457 cents 4: 1 735.48952 cents 4: 1 807.55299 cents 4: 1 818.51032 cents 4: 1 846.00016 cents 4: 1 879.34243 cents 5: 1 877.17892 cents 5: 1 982.58467 cents 5: 1 1021.03183 cents 5: 1 1024.96832 cents 5: 1 1035.92565 cents 5: 1 1058.31060 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 175.0 354.0 495.7 818.5 982.6 1200.0 175.0 : 179.0 320.7 643.5 807.6 1025.0 1200.0 354.0 : 141.7 464.5 628.6 846.0 1021.0 1200.0 495.7 : 322.8 486.9 704.3 879.3 1058.3 1200.0 818.5 : 164.1 381.5 556.5 735.5 877.2 1200.0 982.6 : 217.4 392.4 571.4 713.1 1035.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 141.6894 .. 322.8211 cents 181.13168 cents 141.68940 cents 2: 320.6576 .. 486.8954 cents 166.23786 cents -2.16352 cents 3: 495.6892 .. 704.3108 cents 208.62152 cents 8.79381 cents 4: 713.1046 .. 879.3424 cents 166.23786 cents 8.79381 cents 5: 877.1789 .. 1058.3106 cents 181.13168 cents -2.16352 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 141.68940 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 322.82108 cents Average / Smallest step : 1.411538 Largest / Average step : 1.614105 Largest / Smallest step : 2.278371 Median interval of one step : 176.99992 cents, amount: 0 Least squares average step : 195.13257 cents, oct.: 1170.79541 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : CDAFBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.16352 cents Scale diversity : 1.534777 Lumma stability : 0.250805 Lumma impropriety factor : 0.003606 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 2.16352 cents Number of recognisable fifths : 2, average 708.7077 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 0 2 1 1 N T3 SD: 45.7198 c. M: 95.6892 c. 7: 1 1 1 2 1 1 P M ME SD: 26.1095 c. M:-45.9868 c. 12: 2 2 1 3 2 2 P T3 SD: 23.8186 c. M:-46.0002 c. 13: 2 2 1 4 2 2 N SD: 21.2768 c. M: 34.1508 c. 15: 2 2 2 4 2 3 P SD: 20.3338 c. M: 33.9998 c. 16: 2 3 2 4 2 3 SP D3 SD: 18.3773 c. M:-29.3108 c. 17: 2 3 2 5 2 3 P G SD: 18.2424 c. M: 33.8552 c. 18: 3 2 2 5 3 3 N SD: 20.5700 c. M: 29.0226 c. 19: 3 3 2 5 3 3 P SD: 16.8810 c. M:-27.9416 c. 20: 3 3 2 6 2 4 N SD: 14.5986 c. M: 22.5847 c. 21: 3 3 3 5 3 4 SP SD: 12.5835 c. M:-18.5965 c. 22: 3 3 3 6 3 4 P SD: 12.0259 c. M: 26.7271 c. 26: 4 4 3 7 3 5 P SD: 11.5218 c. M:-15.2309 c. 27: 4 4 3 7 4 5 P SD: 8.3859 c. M: 18.5103 c. 34: 5 5 4 9 5 6 P SD: 3.7214 c. M: 6.7456 c. 60: 9 9 7 16 8 11 P SD: 3.8334 c. M:-6.0002 c. 61: 9 9 7 17 8 11 N SD: 3.6472 c. M:-7.7192 c. 67: 10 10 8 18 9 12 P SD: 4.1437 c. M:-5.8033 c. 70: 10 11 8 19 9 13 P SD: 4.0744 c. M:-6.0002 c. 75: 11 11 9 20 10 14 P SD: 3.0192 c. M: 6.5847 c. 78: 11 12 9 21 11 14 P SD: 3.1359 c. M: 5.8009 c. 82: 12 12 10 22 11 15 P SD: 1.6817 c. M: 2.7803 c. 116: 17 17 14 31 16 21 P SD: 1.1728 c. M: 2.2757 c. 145: 21 22 17 39 20 26 P SD: 1.3794 c. M:-2.2429 c. 160: 23 24 19 43 22 29 P SD: 1.3014 c. M: 2.5317 c. 170: 25 25 20 46 23 31 N SD: 1.1359 c. M: 1.5716 c. 186: 27 28 22 50 25 34 P SD: 1.0846 c. M: 1.9395 c. 204: 30 30 24 55 28 37 N SD: 1.0376 c. M: 1.5716 c. 211: 31 31 25 57 29 38 N SD: 1.0220 c. M: 1.3932 c. 214: 31 32 25 58 29 39 N SD: 1.1980 c. M: 2.2313 c. 220: 32 33 26 59 30 40 P SD: 0.5298 c. M: 0.7665 c. 254: 37 38 30 68 35 46 P SD: 0.5354 c. M: 1.1875 c. 308: 45 46 36 83 42 56 N SD: 0.5569 c. M: 0.8840 c. 315: 46 47 37 85 43 57 N SD: 0.3393 c. M:-0.5373 c. 397: 58 59 47 107 54 72 N SD: 0.3291 c. M:-0.6333 c. 431: 63 64 51 116 59 78 N SD: 0.2502 c. M: 0.4036 c. 535: 78 80 63 144 73 97 N SD: 0.1903 c. M:-0.3927 c. 569: 83 85 67 153 78 103 N SD: 0.1787 c. M:-0.3060 c. 651: 95 97 77 175 89 118 N SD: 0.0964 c. M:-0.1633 c. 966: 141 144 114 260 132 175 N SD: 0.0751 c. M:-0.1236 c. 1617: 236 241 191 435 221 293 N SD: 0.0516 c. M:-0.1075 c. 2092: 305 312 247 563 286 379 N SD: 0.0604 c. M: 0.0869 c. 2186: 319 326 258 588 299 396 N SD: 0.0482 c. M:-0.0827 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 58.2777 cents 3 x x 4:5 x 6 S SD: 21.9635 cents 4 x 5 x 6:7:8 S SD: 30.4330 cents 5 x 6:7:8:9:10 S SD: 20.2570 cents 6 x 7:8:10:11:12 S SD: 25.6065 cents 7:8 x 9:11:12:14 SD: 20.5603 cents 8:9:10:11:13:14:16 SD: 12.5242 cents 9:10:11:12:14:16:18 S SD: 9.3662 cents 12:13:15:16:19:21:24 SD: 9.2723 cents 17:19:21:23:27:30:34 SD: 6.4994 cents 18:20:22:24:29:32:36 SD: 3.0594 cents 30:33:37:40:48:53:60 SD: 2.4651 cents 45:50:55:60:72:79:90 SD: 2.3276 cents 48:53:59:64:77:85:96 SD: 1.4280 cents 66:73:81:88:106:116:132 SD: 1.1609 cents 75:83:92:100:120:132:150 SD: 1.1089 cents 76:84:93:101:122:134:152 SD: 1.0020 cents 84:93:103:112:135:148:168 SD: 0.7513 cents 93:103:114:124:149:164:186 SD: 0.6979 cents 114:126:140:152:183:201:228 SD: 0.5968 cents 132:146:162:176:212:233:264 SD: 0.5384 cents 169:187:207:225:271:298:338 SD: 0.5191 cents 190:210:233:253:305:335:380 SD: 0.3775 cents 208:230:255:277:334:367:416 SD: 0.3690 cents 217:240:266:289:348:383:434 SD: 0.3548 cents 263:291:323:350:422:464:526 SD: 0.3378 cents 281:311:345:374:451:496:562 SD: 0.3331 cents 283:313:347:377:454:499:566 SD: 0.2723 cents 326:361:400:434:523:575:652 SD: 0.2627 cents 347:384:426:462:557:612:694 SD: 0.2388 cents 356:394:437:474:571:628:712 SD: 0.2020 cents 423:468:519:563:679:746:846 SD: 0.1889 cents 432:478:530:575:693:762:864 SD: 0.1244 cents 516:571:633:687:828:910:1032 SD: 0.0994 cents 546:604:670:727:876:963:1092 SD: 0.0778 cents 564:624:692:751:905:995:1128 SD: 0.0480 cents