Scala analysis: CD15_13_Morocco
Ne trouble pas mon bonheur avec elle / Ô soleil du crepuscule - L'ensemble de 'Umar Fâ'id Al-Ju'aydî (unknown maqam, Morocco)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 190.348 cents 190.347962 2: 274.288 cents 274.287522 3: 382.411 cents 382.411133 4: 507.870 cents 507.869650 5: 707.142 cents 707.141941 6: 892.457 cents 892.457135 7: 988.944 cents 988.944263 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 211.0557 cents 211.0557 1: 190.3480 cents 190.3480 2: 83.9396 cents 83.9396 3: 108.1236 cents 108.1236 4: 125.4585 cents 125.4585 5: 199.2723 cents 199.2723 6: 185.3152 cents 185.3152 7: 96.4871 cents 96.4871 8: 211.0557 cents 211.0557
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 83.93956 cents 1: 1 96.48713 cents 1: 1 108.12361 cents 1: 1 125.45852 cents 1: 1 185.31519 cents 1: 1 190.34796 cents 1: 1 199.27229 cents 1: 1 211.05574 cents 2: 1 192.06317 cents 2: 1 233.58213 cents 2: 1 274.28752 cents 2: 1 281.80232 cents 2: 1 307.54287 cents 2: 1 324.73081 cents 2: 1 384.58748 cents 2: 1 401.40370 cents 3: 1 317.52169 cents 3: 1 382.41113 cents 3: 1 432.85442 cents 3: 1 481.07461 cents 3: 1 485.34326 cents 3: 1 492.85806 cents 3: 1 497.89083 cents 3: 1 510.04600 cents 4: 1 507.86965 cents 4: 1 516.79398 cents 4: 1 581.83039 cents 4: 1 593.46687 cents 4: 1 606.53313 cents 4: 1 618.16961 cents 4: 1 683.20602 cents 4: 1 692.13035 cents 5: 1 689.95400 cents 5: 1 702.10917 cents 5: 1 707.14194 cents 5: 1 714.65674 cents 5: 1 718.92539 cents 5: 1 767.14558 cents 5: 1 817.58887 cents 5: 1 882.47831 cents 6: 1 798.59630 cents 6: 1 815.41252 cents 6: 1 875.26919 cents 6: 1 892.45713 cents 6: 1 918.19768 cents 6: 1 925.71248 cents 6: 1 966.41787 cents 6: 1 1007.93683 cents 7: 1 988.94426 cents 7: 1 1000.72771 cents 7: 1 1009.65204 cents 7: 1 1014.68481 cents 7: 1 1074.54148 cents 7: 1 1091.87639 cents 7: 1 1103.51287 cents 7: 1 1116.06044 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 : 190.3 274.3 382.4 507.9 707.1 892.5 988.9 1200.0 190.3 : 83.9 192.1 317.5 516.8 702.1 798.6 1009.7 1200.0 274.3 : 108.1 233.6 432.9 618.2 714.7 925.7 1116.1 1200.0 382.4 : 125.5 324.7 510.0 606.5 817.6 1007.9 1091.9 1200.0 507.9 : 199.3 384.6 481.1 692.1 882.5 966.4 1074.5 1200.0 707.1 : 185.3 281.8 492.9 683.2 767.1 875.3 1000.7 1200.0 892.5 : 96.5 307.5 497.9 581.8 690.0 815.4 1014.7 1200.0 988.9 : 211.1 401.4 485.3 593.5 718.9 918.2 1103.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 83.9396 .. 211.0557 cents 127.11618 cents 83.93956 cents 2: 192.0632 .. 401.4037 cents 209.34053 cents -18.99257 cents 3: 317.5217 .. 510.0460 cents 192.52431 cents -83.88201 cents 4: 507.8697 .. 692.1304 cents 184.26070 cents -2.17635 cents 5: 689.9540 .. 882.4783 cents 192.52431 cents -2.17635 cents 6: 798.5963 .. 1007.9368 cents 209.34053 cents -83.88201 cents 7: 988.9443 .. 1116.0604 cents 127.11618 cents -18.99257 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 83.93956 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 211.05574 cents Average / Smallest step : 1.787000 Largest / Average step : 1.407038 Largest / Smallest step : 2.514377 Median interval of one step : 155.38686 cents, amount: 0 Least squares average step : 143.77793 cents, oct.: 1150.22343 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : FACDGEBH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.71521 cents Scale diversity : 1.595194 Lumma stability : 0.139899 Lumma impropriety factor : 0.175085 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 : 1.71521 cents Number of recognisable fifths : 6, average 704.1529 cents Number of appreciable fifths : 4, average 697.8339 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 0 2 1 1 1 N T3 SD: 44.4800 c. M:-67.5889 c. 9: 1 1 1 1 1 2 0 2 P D3 SD: 36.5175 c. M: 57.0146 c. 10: 1 1 1 1 2 1 1 2 P D3 S SD: 37.3468 c. M: 70.3480 c. 12: 2 1 1 1 2 2 1 2 N D3 SD: 13.0179 c. M:-25.7125 c. Minor Bebop, Dorian Bebop, Raga Khokhar, Zilla, Mixolydian/Dorian mixed 19: 3 1 2 2 3 3 2 3 N SD: 12.1255 c. M: 21.6559 c. 22: 3 2 2 2 4 3 2 4 N SD: 13.4527 c. M: 26.7116 c. 25: 4 2 2 3 4 4 2 4 N SD: 13.7336 c. M:-20.1303 c. 26: 4 2 2 3 4 4 2 5 N SD: 11.5301 c. M: 19.7135 c. 29: 5 2 2 3 5 5 2 5 N SD: 11.6671 c. M:-17.8877 c. 31: 5 2 3 3 5 5 3 5 N SD: 7.7729 c. M:-17.5073 c. 34: 5 3 3 3 6 5 3 6 N SD: 8.5503 c. M: 13.8774 c. 35: 6 2 3 4 6 5 3 6 N SD: 7.9054 c. M:-15.3663 c. 38: 6 3 3 4 6 6 3 7 N SD: 7.4150 c. M: 12.4051 c. 39: 6 3 3 4 7 6 3 7 N SD: 7.7036 c. M: 15.5620 c. 40: 6 3 4 4 7 6 3 7 N SD: 7.1670 c. M:-12.8581 c. 43: 7 3 4 4 7 7 3 8 N SD: 6.9469 c. M: 12.2001 c. 44: 7 3 4 5 7 7 3 8 N SD: 5.2549 c. M:-10.3122 c. 51: 8 4 4 6 8 8 4 9 N SD: 5.0652 c. M:-9.7774 c. 56: 9 4 5 6 9 9 4 10 N SD: 4.2434 c. M:-7.5429 c. 63: 10 4 6 7 10 10 5 11 N SD: 3.8264 c. M: 7.6209 c. 69: 11 5 6 7 12 10 6 12 N SD: 3.5320 c. M:-5.9015 c. 75: 12 5 7 8 12 12 6 13 N SD: 2.7228 c. M:-4.1303 c. 87: 14 6 8 9 14 14 7 15 N SD: 3.1288 c. M:-4.1592 c. 90: 14 7 8 9 15 14 7 16 N SD: 2.9984 c. M:-5.7125 c. 95: 15 7 8 10 16 15 7 17 N SD: 2.8591 c. M:-4.3850 c. 97: 15 7 9 10 16 15 8 17 N SD: 2.1361 c. M: 4.7810 c. 109: 17 8 10 11 18 17 9 19 N SD: 2.0067 c. M: 3.1920 c. 113: 18 8 10 12 19 17 9 20 N SD: 1.8851 c. M:-4.3625 c. 125: 20 9 11 13 21 19 10 22 N SD: 2.0550 c. M:-4.1125 c. 126: 20 9 11 13 21 20 10 22 N SD: 1.9739 c. M: 3.1077 c. 132: 21 9 12 14 22 20 11 23 N SD: 1.3531 c. M:-1.9648 c. 144: 23 10 13 15 24 22 12 25 N SD: 1.2633 c. M:-2.7224 c. 175: 28 12 16 18 29 27 14 31 N SD: 1.0918 c. M:-1.6520 c. 188: 30 13 17 20 31 29 15 33 N SD: 1.2607 c. M:-2.7686 c. 200: 32 14 18 21 33 31 16 35 N SD: 1.4558 c. M:-2.1303 c. 207: 33 14 19 22 34 32 17 36 N SD: 1.3750 c. M:-2.3601 c. 210: 33 15 19 22 35 32 17 37 N SD: 0.9413 c. M: 1.7765 c. 222: 35 16 20 23 37 34 18 39 N SD: 0.9030 c. M:-1.3882 c. 227: 36 16 20 24 38 35 18 40 N SD: 0.8853 c. M: 1.7944 c. 258: 41 18 23 27 43 40 21 45 N SD: 0.8209 c. M:-1.7534 c. 277: 44 19 25 29 46 43 22 49 N SD: 0.9252 c. M: 1.3633 c. 285: 45 20 26 30 47 44 23 50 N SD: 0.7600 c. M:-1.6040 c. 289: 46 20 26 30 48 45 23 51 N SD: 0.7495 c. M: 1.2953 c. 302: 48 21 27 32 50 47 24 53 N SD: 0.7376 c. M:-1.5826 c. 307: 49 21 28 32 51 47 25 54 N SD: 0.7106 c. M: 1.2519 c. 324: 51 23 29 34 54 50 26 57 N SD: 0.6466 c. M: 1.4591 c. 329: 52 23 30 34 55 51 26 58 N SD: 0.6976 c. M:-1.1599 c. 336: 53 24 30 35 56 52 27 59 N SD: 0.5604 c. M: 1.0622 c. 385: 61 27 35 40 64 59 31 68 N SD: 0.6144 c. M: 1.0286 c. 399: 63 28 36 42 66 62 32 70 N SD: 0.5613 c. M: 0.8743 c. 402: 64 28 36 42 67 62 32 71 N SD: 0.4692 c. M: 0.8846 c. 421: 67 29 38 44 70 65 34 74 N SD: 0.4269 c. M: 0.6533 c. 477: 76 33 43 50 79 74 38 84 N SD: 0.4074 c. M:-0.8470 c. 499: 79 35 45 52 83 77 40 88 N SD: 0.3116 c. M: 0.5675 c. 574: 91 40 52 60 95 89 46 101 N SD: 0.2665 c. M: 0.5217 c. 643: 102 45 58 67 107 99 52 113 N SD: 0.1942 c. M: 0.3887 c. 928: 147 65 84 97 154 143 75 163 N SD: 0.2433 c. M:-0.3475 c. 933: 148 65 84 98 155 144 75 164 N SD: 0.2277 c. M: 0.4176 c. 945: 150 66 85 99 157 146 76 166 N SD: 0.1616 c. M:-0.2621 c. 1108: 176 77 100 116 184 171 89 195 N SD: 0.1543 c. M: 0.2803 c. 1120: 178 78 101 117 186 173 90 197 N SD: 0.1343 c. M:-0.3663 c. 1217: 193 85 110 127 202 188 98 214 N SD: 0.1120 c. M: 0.1708 c. 1444: 229 101 130 151 240 223 116 254 N SD: 0.0750 c. M: 0.1397 c. 2087: 331 146 188 218 347 322 168 367 N SD: 0.0731 c. M: 0.1552 c. 2131: 338 149 192 223 354 329 171 375 N SD: 0.0760 c. M:-0.1316 c. 2143: 340 150 193 224 356 331 172 377 N SD: 0.0694 c. M:-0.1234 c. 2162: 343 151 195 226 359 334 174 380 N SD: 0.0642 c. M:-0.1399 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 2.5935 cents 3 x x x 4 x 5 x 6 S SD: 4.2441 cents 4 x x 5 x 6 x 7:8 S SD: 5.2849 cents 5 x 6 x 7 x 8:9:10 S SD: 23.9227 cents 6 x 7 x 8:9:10:11:12 S SD: 10.4009 cents 7:8 x 9 x 11:12 x 14 SD: 21.7007 cents 8:9 x 10:11:12:13:14:16 S SD: 10.3167 cents 9:10 x 11:12:14:15:16:18 S SD: 9.9379 cents 10:11:12 x 13:15:17:18:20 SD: 11.7498 cents 12:13:14:15:16:18:20:21:24 S SD: 7.2291 cents 13 x 15:16:17:20:22:23:26 SD: 10.0499 cents 14:16 x 17:19:21:23:25:28 SD: 10.6707 cents 15:17:18:19:20:23:25:27:30 SD: 9.0026 cents 16:18:19:20:21:24:27:28:32 S SD: 6.5259 cents 17:19:20:21:23:26:28:30:34 SD: 5.8973 cents 18:20:21:22:24:27:30:32:36 S SD: 4.9740 cents 24:27:28:30:32:36:40:42:48 S SD: 3.6399 cents 33:37:39:41:44:50:55:58:66 SD: 3.5293 cents 34:38:40:42:46:51:57:60:68 SD: 3.1412 cents 35:39:41:44:47:53:59:62:70 SD: 2.6977 cents 36:40:42:45:48:54:60:64:72 S SD: 2.4155 cents 41:46:48:51:55:62:69:73:82 SD: 2.3431 cents 44:49:52:55:59:66:74:78:88 SD: 2.3155 cents 52:58:61:65:70:78:87:92:104 SD: 1.2318 cents 70:78:82:87:94:105:117:124:140 SD: 1.1820 cents 77:86:90:96:103:116:129:136:154 SD: 0.9679 cents 93:104:109:116:125:140:156:165:186 SD: 0.8901 cents 105:117:123:131:141:158:176:186:210 SD: 0.5573 cents 129:144:151:161:173:194:216:228:258 SD: 0.4602 cents 182:203:213:227:244:274:305:322:364 SD: 0.4038 cents 214:239:251:267:287:322:358:379:428 SD: 0.3462 cents 234:261:274:292:314:352:392:414:468 SD: 0.3391 cents 240:268:281:299:322:361:402:425:480 SD: 0.3319 cents 258:288:302:322:346:388:432:457:516 SD: 0.2950 cents 267:298:313:333:358:402:447:473:534 SD: 0.2417 cents 319:356:374:398:428:480:534:565:638 SD: 0.2346 cents 343:383:402:428:460:516:574:607:686 SD: 0.2213 cents 396:442:464:494:531:596:663:701:792 SD: 0.1043 cents