Scala analysis: CD16_10_Morocco
Quiconque aime - L'ensemble de 'Umar Fâ'id Al-Ju'aydî (ushshaq, Morocco)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 202.253 cents 202.253011 2: 377.487 cents 377.487114 3: 502.668 cents 502.667813 4: 692.676 cents 692.676079 5: 791.443 cents 791.442511 6: 984.396 cents 984.395530 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 215.6045 cents 215.6045 1: 202.2530 cents 202.2530 2: 175.2341 cents 175.2341 3: 125.1807 cents 125.1807 4: 190.0083 cents 190.0083 5: 98.7664 cents 98.7664 6: 192.9530 cents 192.9530 7: 215.6045 cents 215.6045
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 98.76643 cents 1: 1 125.18070 cents 1: 1 175.23410 cents 1: 1 190.00827 cents 1: 1 192.95302 cents 1: 1 202.25301 cents 1: 1 215.60447 cents 2: 1 288.77470 cents 2: 1 291.71945 cents 2: 1 300.41480 cents 2: 1 315.18896 cents 2: 1 377.48711 cents 2: 1 408.55749 cents 2: 1 417.85748 cents 3: 1 413.95540 cents 3: 1 481.72772 cents 3: 1 490.42307 cents 3: 1 502.66781 cents 3: 1 507.32392 cents 3: 1 593.09158 cents 3: 1 610.81050 cents 4: 1 589.18950 cents 4: 1 606.90842 cents 4: 1 692.67608 cents 4: 1 697.33219 cents 4: 1 709.57693 cents 4: 1 718.27228 cents 4: 1 786.04460 cents 5: 1 782.14252 cents 5: 1 791.44251 cents 5: 1 822.51289 cents 5: 1 884.81103 cents 5: 1 899.58520 cents 5: 1 908.28055 cents 5: 1 911.22530 cents 6: 1 984.39553 cents 6: 1 997.74699 cents 6: 1 1007.04698 cents 6: 1 1009.99173 cents 6: 1 1024.76590 cents 6: 1 1074.81930 cents 6: 1 1101.23357 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 : 202.3 377.5 502.7 692.7 791.4 984.4 1200.0 202.3 : 175.2 300.4 490.4 589.2 782.1 997.7 1200.0 377.5 : 125.2 315.2 414.0 606.9 822.5 1024.8 1200.0 502.7 : 190.0 288.8 481.7 697.3 899.6 1074.8 1200.0 692.7 : 98.8 291.7 507.3 709.6 884.8 1010.0 1200.0 791.4 : 193.0 408.6 610.8 786.0 911.2 1101.2 1200.0 984.4 : 215.6 417.9 593.1 718.3 908.3 1007.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 98.7664 .. 215.6045 cents 116.83804 cents 98.76643 cents 2: 288.7747 .. 417.8575 cents 129.08278 cents 73.17023 cents 3: 413.9554 .. 610.8105 cents 196.85510 cents -3.90208 cents 4: 589.1895 .. 786.0446 cents 196.85510 cents -21.62100 cents 5: 782.1425 .. 911.2253 cents 129.08278 cents -3.90208 cents 6: 984.3955 .. 1101.2336 cents 116.83804 cents 73.17023 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 98.76643 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 215.60447 cents Average / Smallest step : 1.735697 Largest / Average step : 1.257693 Largest / Smallest step : 2.182973 Median interval of one step : 190.00827 cents, amount: 1 Least squares average step : 167.85372 cents, oct.: 1174.97604 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : FCBDAEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.90208 cents Scale diversity : 1.551985 Lumma stability : 0.286561 Lumma impropriety factor : 0.024521 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 : 2.94475 cents Number of recognisable fifths : 4, average 704.4644 cents Number of appreciable fifths : 3, average 699.8617 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 35.0528 c. M:-65.7003 c. Lebeng 9: 2 1 1 1 1 1 2 N D3 I SD: 35.7639 c. M:-64.4137 c. 10: 2 1 1 2 1 1 2 P D3 I SD: 29.1401 c. M:-48.5575 c. 12: 2 2 1 2 1 2 2 P D3 I SD: 11.2719 c. M:-22.5129 c. Major-Minor, Melodic Major, Mischung 6, Mixolydian flat 6, Mela Carukesi, Raga Charukeshi, Tarangini, Heptatonia secunda 23: 4 3 3 3 2 4 4 N SD: 11.2716 c. M:-19.0713 c. 26: 4 4 3 4 2 4 5 P SD: 9.8649 c. M: 17.6376 c. 29: 5 4 3 5 2 5 5 N SD: 6.5899 c. M:-10.7722 c. 35: 6 5 4 5 3 6 6 N SD: 6.5640 c. M:-11.6179 c. 38: 6 6 4 6 3 6 7 P SD: 5.4770 c. M: 12.7793 c. 41: 7 6 4 7 3 7 7 N SD: 6.0212 c. M:-10.7264 c. 45: 8 6 5 7 4 7 8 N SD: 5.7921 c. M:-11.0803 c. 47: 8 7 5 7 4 8 8 N SD: 5.8247 c. M:-11.3492 c. 48: 8 7 5 8 4 7 9 P SD: 5.7759 c. M: 9.3955 c. 50: 8 8 5 8 4 8 9 P SD: 4.7933 c. M: 10.2530 c. 52: 9 7 6 8 4 9 9 N SD: 5.7613 c. M: 8.2563 c. 54: 9 8 6 8 5 8 10 P SD: 5.4487 c. M:-8.5575 c. 55: 9 8 6 9 4 9 10 N SD: 4.6520 c. M: 6.5780 c. 57: 10 8 6 9 5 9 10 N SD: 5.0791 c. M:-8.5575 c. 60: 10 9 6 10 5 9 11 P SD: 4.8506 c. M:-8.5575 c. 64: 11 9 7 10 5 11 11 N SD: 4.4593 c. M:-9.3545 c. 67: 11 10 7 11 5 11 12 N SD: 3.3080 c. M:-5.8314 c. 71: 12 10 8 11 6 11 13 N SD: 3.3165 c. M: 5.6561 c. 76: 13 11 8 12 6 12 14 N SD: 2.8217 c. M: 5.4482 c. 82: 14 12 8 13 7 13 15 N SD: 3.4312 c. M: 5.1068 c. 83: 14 12 9 13 7 13 15 N SD: 2.1063 c. M:-3.7382 c. 95: 16 14 10 15 8 15 17 N SD: 2.1642 c. M:-4.3470 c. 112: 19 16 12 18 9 18 20 N SD: 1.9480 c. M:-3.7525 c. 124: 21 18 13 20 10 20 22 N SD: 2.0629 c. M:-4.0981 c. 126: 21 19 13 20 10 20 23 N SD: 2.4149 c. M:-3.4653 c. 127: 21 19 13 20 11 20 23 N SD: 2.2341 c. M: 3.8278 c. 133: 22 20 14 21 11 21 24 N SD: 2.2223 c. M: 3.7568 c. 137: 23 20 14 22 11 22 25 N SD: 2.2203 c. M: 3.3977 c. 138: 23 20 15 22 11 22 25 N SD: 2.1627 c. M: 3.5741 c. 141: 24 20 15 22 12 23 25 N SD: 2.1534 c. M: 3.3144 c. 144: 24 21 15 23 12 23 26 N SD: 1.7145 c. M: 2.6678 c. 156: 26 23 16 25 13 25 28 N SD: 1.3858 c. M: 2.6678 c. 165: 28 24 17 26 14 26 30 N SD: 1.4409 c. M: 2.5773 c. 172: 29 25 18 27 14 28 31 N SD: 1.4378 c. M: 3.0704 c. 177: 30 26 18 28 15 28 32 N SD: 1.3762 c. M:-2.1739 c. 179: 30 26 19 28 15 29 32 N SD: 1.2882 c. M: 2.1733 c. 182: 31 26 19 29 15 29 33 N SD: 1.4102 c. M:-2.1426 c. 184: 31 27 19 29 15 30 33 N SD: 1.0840 c. M: 2.3121 c. 191: 32 28 20 30 16 31 34 N SD: 1.0834 c. M:-1.9919 c. 194: 33 28 20 31 16 31 35 N SD: 1.0076 c. M:-1.8707 c. 206: 35 30 21 33 17 33 37 N SD: 1.0541 c. M: 1.6969 c. 220: 37 32 23 35 18 35 40 N SD: 1.1404 c. M: 2.5773 c. 229: 39 33 24 36 19 37 41 N SD: 0.9418 c. M:-2.1138 c. 232: 39 34 24 37 19 37 42 N SD: 0.7603 c. M: 1.6369 c. 244: 41 36 25 39 20 39 44 N SD: 0.7762 c. M:-1.2014 c. 255: 43 37 27 40 21 41 46 N SD: 0.7650 c. M: 1.0165 c. 267: 45 39 28 42 22 43 48 N SD: 0.3762 c. M:-0.7030 c. 461: 78 67 48 73 38 74 83 N SD: 0.3746 c. M:-0.7839 c. 473: 80 69 49 75 39 76 85 N SD: 0.3606 c. M:-0.7068 c. 499: 84 73 52 79 41 80 90 N SD: 0.3449 c. M: 0.8284 c. 506: 85 74 53 80 42 81 91 N SD: 0.4024 c. M: 0.6720 c. 511: 86 75 53 81 42 82 92 N SD: 0.3077 c. M:-0.5951 c. 528: 89 77 55 84 43 85 95 N SD: 0.3455 c. M: 0.5334 c. 540: 91 79 56 86 44 87 97 N SD: 0.3440 c. M:-0.6573 c. 563: 95 82 59 89 46 91 101 N SD: 0.3378 c. M: 0.6787 c. 611: 103 89 64 97 50 98 110 N SD: 0.3257 c. M:-0.6136 c. 623: 105 91 65 99 51 100 112 N SD: 0.2970 c. M:-0.7429 c. 658: 111 96 69 104 54 106 118 N SD: 0.3311 c. M:-0.6757 c. 664: 112 97 69 105 55 107 119 N SD: 0.3185 c. M:-0.5442 c. 690: 116 101 72 109 57 111 124 N SD: 0.2804 c. M: 0.5139 c. 719: 121 105 75 114 59 116 129 N SD: 0.2638 c. M: 0.3438 c. 740: 125 108 77 117 61 119 133 N SD: 0.2388 c. M:-0.4497 c. 778: 131 114 81 123 64 125 140 N SD: 0.2361 c. M:-0.4049 c. 795: 134 116 83 126 65 128 143 N SD: 0.2236 c. M: 0.4991 c. 802: 135 117 84 127 66 129 144 N SD: 0.2043 c. M: 0.4298 c. 807: 136 118 84 128 66 130 145 N SD: 0.1886 c. M: 0.3644 c. 878: 148 128 92 139 72 141 158 N SD: 0.2244 c. M: 0.3409 c. 884: 149 129 92 140 73 142 159 N SD: 0.2294 c. M: 0.4054 c. 890: 150 130 93 141 73 143 160 N SD: 0.1732 c. M:-0.3576 c. 967: 163 141 101 153 80 155 174 N SD: 0.2065 c. M: 0.3211 c. 979: 165 143 102 155 81 157 176 N SD: 0.1678 c. M:-0.3859 c. 1008: 170 147 105 160 83 162 181 N SD: 0.1730 c. M: 0.2869 c. 1069: 180 156 112 169 88 172 192 N SD: 0.1698 c. M: 0.3122 c. 1074: 181 157 112 170 88 173 193 N SD: 0.1666 c. M: 0.3811 c. 1081: 182 158 113 171 89 174 194 N SD: 0.1488 c. M:-0.2483 c. 1246: 210 182 130 197 103 200 224 N SD: 0.1277 c. M: 0.2202 c. 1263: 213 184 132 200 104 203 227 N SD: 0.1247 c. M: 0.2900 c. 1275: 215 186 133 202 105 205 229 N SD: 0.0718 c. M:-0.0999 c. 1542: 260 225 161 244 127 248 277 N SD: 0.0524 c. M:-0.0816 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: 4.6395 cents 3 x x 4 x 5 x 6 S SD: 31.0104 cents 4 x 5 x 6 x 7:8 S SD: 5.0400 cents 5 x 6:7 x 8:9:10 S SD: 21.7229 cents 6:7 x 8:9 x 11:12 SD: 18.4431 cents 7:8:9 x 10:11:12:14 S SD: 18.6454 cents 8:9:10:11:12:13:14:16 S SD: 10.2871 cents 12:13:15:16:18:19:21:24 SD: 9.5831 cents 14:16:17:19:21:22:25:28 SD: 8.7676 cents 15:17:19:20:22:24:26:30 SD: 8.6231 cents 16:18:20:21:24:25:28:32 SD: 6.0271 cents 17:19:21:23:25:27:30:34 SD: 5.2924 cents 21:24:26:28:31:33:37:42 SD: 5.2525 cents 24:27:30:32:36:38:42:48 SD: 3.0219 cents 33:37:41:44:49:52:58:66 SD: 1.9877 cents 57:64:71:76:85:90:101:114 SD: 1.1864 cents 65:73:81:87:97:103:115:130 SD: 1.1047 cents 81:91:101:108:121:128:143:162 SD: 0.9879 cents 90:101:112:120:134:142:159:180 SD: 0.9792 cents 95:107:118:127:142:150:168:190 SD: 0.8495 cents 98:110:122:131:146:155:173:196 SD: 0.6394 cents 128:144:159:171:191:202:226:256 SD: 0.4742 cents 169:190:210:226:252:267:298:338 SD: 0.4451 cents 193:217:240:258:288:305:341:386 SD: 0.2137 cents 226:254:281:302:337:357:399:452 SD: 0.1931 cents 362:407:450:484:540:572:639:724 SD: 0.1900 cents 419:471:521:560:625:662:740:838 SD: 0.1291 cents