Scala analysis: CD15_15_Morocco
Je n'ai plus de force - 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: 190.284 cents 190.284114 2: 483.300 cents 483.299571 3: 694.116 cents 694.116066 4: 894.392 cents 894.392317 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 305.6077 cents 305.6077 1: 190.2841 cents 190.2841 2: 293.0155 cents 293.0155 3: 210.8165 cents 210.8165 4: 200.2763 cents 200.2763 5: 305.6077 cents 305.6077
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 190.28411 cents 1: 1 200.27625 cents 1: 1 210.81649 cents 1: 1 293.01546 cents 1: 1 305.60768 cents 2: 1 411.09275 cents 2: 1 483.29957 cents 2: 1 495.89180 cents 2: 1 503.83195 cents 2: 1 505.88393 cents 3: 1 694.11607 cents 3: 1 696.16805 cents 3: 1 704.10820 cents 3: 1 716.70043 cents 3: 1 788.90725 cents 4: 1 894.39232 cents 4: 1 906.98454 cents 4: 1 989.18350 cents 4: 1 999.72375 cents 4: 1 1009.71589 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 190.3 483.3 694.1 894.4 1200.0 190.3 : 293.0 503.8 704.1 1009.7 1200.0 483.3 : 210.8 411.1 716.7 907.0 1200.0 694.1 : 200.3 505.9 696.2 989.2 1200.0 894.4 : 305.6 495.9 788.9 999.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 190.2841 .. 305.6077 cents 115.32357 cents 190.28411 cents 2: 411.0927 .. 505.8839 cents 94.79119 cents 105.48506 cents 3: 694.1161 .. 788.9073 cents 94.79119 cents 188.23213 cents 4: 894.3923 .. 1009.7159 cents 115.32357 cents 105.48506 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 190.28411 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 305.60768 cents Average / Smallest step : 1.261272 Largest / Average step : 1.273365 Largest / Smallest step : 1.606060 Median interval of one step : 210.81649 cents, amount: 1 Least squares average step : 233.03274 cents, oct.: 1165.16370 cents Scale is strictly proper Step pattern alph. order: ABCDE Step pattern size order : ADCBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 105.48506 cents Scale diversity : 1.384005 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.649809 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 2.05198 cents Number of recognisable fifths : 4, average 702.7732 cents Number of appreciable fifths : 3, average 698.1308 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 105.3314 cents: 1 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 38.6184 c. M:-65.6077 c. 7: 1 2 1 1 2 P M ME S SD: 23.5533 c. M: 37.2495 c. Thai mode 5 12: 2 3 2 2 3 SP M ME S SD: 9.3741 c. M:-16.7004 c. Scottish Pentatonic, Blues Major, Ritusen, Ritsu (Gagaku): Japan, Zhi, Zheng: China, Ujo, P'yongjo: Korea, Bac: Vietnam, Lai Soutsanaen, Lai Po Sai, Lai Soi: Laos, Raga Arabhi, Devakriya, Durga, Jaldhar Kedar, Suddha Saveri, Major complement 30: 5 7 5 5 8 SP T3 SD: 10.1162 c. M: 14.3923 c. 31: 5 7 6 5 8 SP SD: 8.7989 c. M: 18.7834 c. 34: 5 9 6 5 9 SP T3 SD: 10.8742 c. M: 13.8135 c. 35: 5 9 6 6 9 SP T3 S SD: 9.4424 c. M: 18.8555 c. 37: 6 9 6 7 9 SP T3 SD: 8.7951 c. M:-13.7158 c. 38: 6 9 7 6 10 SP SD: 6.2796 c. M: 10.1818 c. 40: 6 10 7 7 10 SP T3 S SD: 5.7452 c. M: 10.2841 c. 42: 7 10 7 7 11 SP T3 SD: 7.0161 c. M:-9.7159 c. 43: 7 10 8 7 11 SP SD: 4.8797 c. M: 8.8810 c. 47: 7 12 8 8 12 SP T3 S SD: 5.6590 c. M: 11.5607 c. 50: 8 12 9 8 13 SP SD: 3.4130 c. M: 6.3923 c. 52: 8 13 9 9 13 SP T3 S SD: 3.7036 c. M: 5.6687 c. 55: 9 13 10 9 14 SP SD: 3.5889 c. M:-6.0795 c. 62: 10 15 11 10 16 SP SD: 2.6310 c. M: 4.0697 c. 74: 12 18 13 12 19 SP SD: 3.0036 c. M:-4.3105 c. 82: 13 20 14 14 21 SP SD: 2.9289 c. M: 6.3112 c. 87: 14 21 15 15 22 SP SD: 2.5614 c. M: 4.4609 c. 90: 14 22 16 15 23 SP SD: 2.2675 c. M: 3.6174 c. 95: 15 23 17 16 24 SP SD: 1.8937 c. M: 3.2996 c. 102: 16 25 18 17 26 SP SD: 1.0168 c. M: 2.0488 c. 114: 18 28 20 19 29 SP SD: 0.6310 c. M:-0.9110 c. 271: 43 66 48 45 69 SP SD: 0.5683 c. M:-1.0869 c. 278: 44 68 49 46 71 SP SD: 0.5694 c. M: 0.8671 c. 283: 45 69 50 47 72 SP SD: 0.6399 c. M:-1.2903 c. 303: 48 74 53 51 77 SP SD: 0.5620 c. M: 1.0468 c. 315: 50 77 55 53 80 SP SD: 0.5701 c. M:-0.8458 c. 353: 56 86 62 59 90 SP SD: 0.4145 c. M: 0.6316 c. 365: 58 89 64 61 93 SP SD: 0.2669 c. M: 0.4174 c. 467: 74 114 82 78 119 SP SD: 0.2006 c. M: 0.3259 c. 479: 76 117 84 80 122 SP SD: 0.1309 c. M:-0.2077 c. 581: 92 142 102 97 148 SP SD: 0.1386 c. M: 0.2669 c. 946: 150 231 166 158 241 SP SD: 0.1194 c. M: 0.2471 c. 1053: 167 257 185 176 268 SP SD: 0.1098 c. M:-0.1946 c. 1060: 168 259 186 177 270 SP SD: 0.0947 c. M: 0.1538 c. 1217: 193 297 214 203 310 SP SD: 0.0742 c. M: 0.1443 c. 1229: 195 300 216 205 313 SP SD: 0.0707 c. M:-0.1146 c. 1331: 211 325 234 222 339 SP SD: 0.0566 c. M:-0.0988 c. 1696: 269 414 298 283 432 SP SD: 0.0376 c. M: 0.0527 c. 1810: 287 442 318 302 461 SP SD: 0.0191 c. M: 0.0277 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 3.9195 cents 3 x 4 x 5:6 S SD: 5.9451 cents 4 x 5:6:7:8 S SD: 30.6269 cents 5:6:7 x 8:10 S SD: 44.7710 cents 6:7:8:9:10:12 S SD: 15.8052 cents 9:10:12:13:15:18 SD: 12.1429 cents 10:11:13:15:17:20 SD: 9.2402 cents 15:17:20:22:25:30 SD: 8.9002 cents 16:18:21:24:27:32 SD: 4.6280 cents 18:20:24:27:30:36 S SD: 4.2031 cents 25:28:33:37:42:50 SD: 3.4253 cents 28:31:37:42:47:56 SD: 3.2581 cents 34:38:45:51:57:68 SD: 1.6794 cents 43:48:57:64:72:86 SD: 1.5152 cents 53:59:70:79:89:106 SD: 1.3038 cents 59:66:78:88:99:118 SD: 0.9213 cents 77:86:102:115:129:154 SD: 0.7602 cents 87:97:115:130:146:174 SD: 0.5882 cents 130:145:172:194:218:260 SD: 0.4424 cents 146:163:193:218:245:292 SD: 0.3671 cents 164:183:217:245:275:328 SD: 0.3669 cents 223:249:295:333:374:446 SD: 0.3017 cents 276:308:365:412:463:552 SD: 0.3002 cents 302:337:399:451:506:604 SD: 0.2970 cents 310:346:410:463:520:620 SD: 0.2747 cents 345:385:456:515:578:690 SD: 0.2548 cents 361:403:477:539:605:722 SD: 0.2139 cents 379:423:501:566:635:758 SD: 0.1937 cents 432:482:571:645:724:864 SD: 0.1811 cents 438:489:579:654:734:876 SD: 0.1436 cents 491:548:649:733:823:982 SD: 0.1122 cents 525:586:694:784:880:1050 SD: 0.0529 cents