Scala analysis: CD15_09_Morocco
Que la paix soit avec mes parents - 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: 205.582 cents 205.581649 2: 507.246 cents 507.246077 3: 714.699 cents 714.698943 4: 884.561 cents 884.560773 5: 969.814 cents 969.814150 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 230.1859 cents 230.1859 1: 205.5816 cents 205.5816 2: 301.6644 cents 301.6644 3: 207.4529 cents 207.4529 4: 169.8618 cents 169.8618 5: 85.2534 cents 85.2534 6: 230.1859 cents 230.1859
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 85.25338 cents 1: 1 169.86183 cents 1: 1 205.58165 cents 1: 1 207.45287 cents 1: 1 230.18585 cents 1: 1 301.66443 cents 2: 1 255.11521 cents 2: 1 315.43923 cents 2: 1 377.31470 cents 2: 1 435.76750 cents 2: 1 507.24608 cents 2: 1 509.11729 cents 3: 1 462.56807 cents 3: 1 485.30106 cents 3: 1 521.02088 cents 3: 1 678.97912 cents 3: 1 714.69894 cents 3: 1 737.43193 cents 4: 1 690.88271 cents 4: 1 692.75392 cents 4: 1 764.23250 cents 4: 1 822.68530 cents 4: 1 884.56077 cents 4: 1 944.88479 cents 5: 1 898.33557 cents 5: 1 969.81415 cents 5: 1 992.54713 cents 5: 1 994.41835 cents 5: 1 1030.13817 cents 5: 1 1114.74662 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 : 205.6 507.2 714.7 884.6 969.8 1200.0 205.6 : 301.7 509.1 679.0 764.2 994.4 1200.0 507.2 : 207.5 377.3 462.6 692.8 898.3 1200.0 714.7 : 169.9 255.1 485.3 690.9 992.5 1200.0 884.6 : 85.3 315.4 521.0 822.7 1030.1 1200.0 969.8 : 230.2 435.8 737.4 944.9 1114.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 85.2534 .. 301.6644 cents 216.41105 cents 85.25338 cents 2: 255.1152 .. 509.1173 cents 254.00209 cents -46.54922 cents 3: 462.5681 .. 737.4319 cents 274.86385 cents -46.54922 cents 4: 690.8827 .. 944.8848 cents 254.00209 cents -46.54922 cents 5: 898.3356 .. 1114.7466 cents 216.41105 cents -46.54922 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 85.25338 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 301.66443 cents Average / Smallest step : 2.345948 Largest / Average step : 1.508322 Largest / Smallest step : 3.538445 Median interval of one step : 206.51726 cents, amount: 0 Least squares average step : 208.25807 cents, oct.: 1249.54843 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : CFDBAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 11.90358 cents Scale diversity : 1.602321 Lumma stability : 0.142089 Lumma impropriety factor : 0.155164 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 : 1.87122 cents Number of recognisable fifths : 3, average 699.4452 cents Number of appreciable fifths : 2, average 691.8183 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 0 2 N T3 SD: 100.5618 c. M: 169.8142 c. 7: 1 2 1 1 1 1 P M ME SD: 32.3013 c. M:-58.7573 c. 10: 2 2 2 1 1 2 P D3 S SD: 25.9392 c. M: 44.5608 c. 11: 2 3 2 1 1 2 N SD: 26.7633 c. M:-48.9374 c. 12: 2 3 2 2 1 2 P G D3 SD: 15.5417 c. M:-30.1858 c. Mixolydian Hexatonic, P'yongjo: Korea, Yosen: Japan, Raga Darbar, Narayani, Suposhini, Andolika, Gorakh Kalyan, Rakta Hauns 19: 3 5 3 3 1 4 N SD: 13.9393 c. M: 22.4457 c. 22: 4 5 4 3 2 4 P SD: 11.1149 c. M: 16.3370 c. 23: 4 6 4 3 2 4 N SD: 12.4829 c. M:-21.4902 c. 24: 4 6 4 4 1 5 N SD: 12.4545 c. M: 19.8142 c. 27: 5 6 5 4 2 5 P SD: 10.8698 c. M: 18.3572 c. 28: 5 7 5 4 2 5 N SD: 11.6114 c. M:-15.9001 c. 30: 5 8 5 4 2 6 N SD: 7.5171 c. M:-12.7539 c. 33: 6 8 6 4 3 6 N SD: 10.0366 c. M:-12.6002 c. 34: 6 8 6 5 2 7 N SD: 9.8140 c. M: 16.8730 c. 35: 6 9 6 5 2 7 N SD: 6.0712 c. M: 9.8142 c. 41: 7 10 7 6 3 8 N SD: 7.1027 c. M: 12.2599 c. 42: 7 11 7 6 3 8 N SD: 3.7599 c. M:-7.0396 c. 47: 8 12 8 7 3 9 N SD: 3.9891 c. M:-9.0562 c. 52: 9 13 9 7 4 10 N SD: 3.2609 c. M: 7.6377 c. 57: 10 14 10 8 4 11 N SD: 2.2962 c. M:-4.9447 c. 69: 12 17 12 10 5 13 N SD: 2.6888 c. M:-4.0989 c. 83: 14 21 14 12 6 16 N SD: 3.1369 c. M: 6.2652 c. 87: 15 22 15 12 6 17 N SD: 2.5660 c. M: 4.2969 c. 94: 16 24 16 13 7 18 N SD: 2.1301 c. M: 3.7097 c. 99: 17 25 17 14 7 19 N SD: 0.8097 c. M:-1.8448 c. 168: 29 42 29 24 12 32 N SD: 1.0453 c. M:-1.6144 c. 210: 36 53 36 30 15 40 N SD: 0.9901 c. M:-1.6144 c. 220: 38 55 38 31 16 42 N SD: 0.9071 c. M:-1.6911 c. 239: 41 60 41 34 17 46 N SD: 0.8618 c. M: 1.7282 c. 244: 42 61 42 35 17 47 N SD: 0.9425 c. M: 1.5842 c. 250: 43 63 43 35 18 48 N SD: 0.9339 c. M:-1.5539 c. 255: 44 64 44 36 18 49 N SD: 0.7850 c. M:-1.4772 c. 262: 45 66 45 37 19 50 N SD: 0.7501 c. M:-1.1782 c. 267: 46 67 46 38 19 51 N SD: 0.7501 c. M:-1.1599 c. 270: 46 68 47 38 19 52 N SD: 0.7340 c. M: 1.1372 c. 282: 48 71 49 40 20 54 N SD: 0.7069 c. M: 1.3263 c. 319: 55 80 55 45 23 61 N SD: 0.6948 c. M:-1.3149 c. 327: 56 82 57 46 23 63 N SD: 0.6492 c. M: 1.0068 c. 334: 57 84 58 47 24 64 N SD: 0.5362 c. M: 0.7912 c. 339: 58 85 59 48 24 65 N SD: 0.4940 c. M: 1.0514 c. 369: 63 93 64 52 26 71 N SD: 0.5102 c. M:-0.7482 c. 381: 65 96 66 54 27 73 N SD: 0.4336 c. M: 0.8572 c. 433: 74 109 75 61 31 83 N SD: 0.3237 c. M: 0.5008 c. 438: 75 110 76 62 31 84 N SD: 0.2721 c. M: 0.3968 c. 532: 91 134 92 75 38 102 N SD: 0.2663 c. M: 0.3502 c. 537: 92 135 93 76 38 103 N SD: 0.2141 c. M:-0.3849 c. 636: 109 160 110 90 45 122 N SD: 0.2490 c. M:-0.3954 c. 677: 116 170 117 96 48 130 N SD: 0.2216 c. M: 0.3710 c. 719: 123 181 124 102 51 138 N SD: 0.2086 c. M: 0.3735 c. 776: 133 195 134 110 55 149 N SD: 0.1480 c. M: 0.2660 c. 875: 150 220 151 124 62 168 N SD: 0.1477 c. M: 0.2141 c. 1110: 190 279 192 157 79 213 N SD: 0.1597 c. M: 0.2364 c. 1115: 191 280 193 158 79 214 N SD: 0.1579 c. M: 0.3402 c. 1157: 198 291 200 164 82 222 N SD: 0.1208 c. M: 0.2230 c. 1209: 207 304 209 171 86 232 N SD: 0.1049 c. M: 0.1935 c. 1214: 208 305 210 172 86 233 N SD: 0.0984 c. M: 0.1621 c. 1308: 224 329 226 185 93 251 N SD: 0.0892 c. M: 0.1571 c. 1313: 225 330 227 186 93 252 N SD: 0.0776 c. M:-0.1308 c. 1377: 236 346 238 195 98 264 N SD: 0.0773 c. M:-0.1205 c. 1476: 253 371 255 209 105 283 N SD: 0.0733 c. M:-0.1094 c. 1746: 299 439 302 247 124 335 N SD: 0.0539 c. M: 0.0834 c. 1914: 328 481 331 271 136 367 N SD: 0.0589 c. M:-0.0918 c. 2013: 345 506 348 285 143 386 N SD: 0.0676 c. M:-0.0890 c. 2347: 402 590 406 332 167 450 N SD: 0.0619 c. M:-0.1049 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 6.3720 cents 3 x 4 x 5 x 6 S SD: 3.0678 cents 4 x 5:6 x 7:8 S SD: 30.4015 cents 5:6:7 x 8:9:10 S SD: 31.6761 cents 6:7:8:9:10:11:12 H SD: 16.9407 cents 7:8:9:11 x 12:14 SD: 21.7293 cents 8:9:11:12:13:14:16 SD: 10.6032 cents 9:10:12:14:15:16:18 S SD: 10.3200 cents 14:16:19:21:23:25:28 SD: 9.2239 cents 15:17:20:23:25:26:30 SD: 5.6682 cents 21:24:28:32:35:37:42 SD: 5.4417 cents 23:26:31:35:38:40:46 SD: 4.2703 cents 24:27:32:36:40:42:48 SD: 2.6399 cents 33:37:44:50:55:58:66 SD: 2.3857 cents 39:44:52:59:65:68:78 SD: 2.0625 cents 41:46:55:62:68:72:82 SD: 2.0029 cents 47:53:63:71:78:82:94 SD: 1.6898 cents 64:72:86:97:107:112:128 SD: 1.4535 cents 73:82:98:110:122:128:146 SD: 1.4463 cents 79:89:106:119:132:138:158 SD: 1.3715 cents 80:90:107:121:133:140:160 SD: 1.0725 cents 88:99:118:133:147:154:176 SD: 0.7099 cents 120:135:161:181:200:210:240 SD: 0.6722 cents 129:145:173:195:215:226:258 SD: 0.5773 cents 135:152:181:204:225:236:270 SD: 0.4777 cents 141:159:189:213:235:247:282 SD: 0.4322 cents 221:249:296:334:368:387:442 SD: 0.4088 cents 229:258:307:346:382:401:458 SD: 0.2648 cents 270:304:362:408:450:473:540 SD: 0.1638 cents 309:348:414:467:515:541:618 SD: 0.1546 cents 405:456:543:612:675:709:810 SD: 0.1052 cents 546:615:732:825:910:956:1092 SD: 0.0964 cents 579:652:776:875:965:1014:1158 SD: 0.0779 cents