Scala analysis: CD16_14_Morocco
Ô amoureux - 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: 201.765 cents 201.764733 2: 509.440 cents 509.440004 3: 717.508 cents 717.507513 4: 914.143 cents 914.143422 5: 991.161 cents 991.160729 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 208.8393 cents 208.8393 1: 201.7647 cents 201.7647 2: 307.6753 cents 307.6753 3: 208.0675 cents 208.0675 4: 196.6359 cents 196.6359 5: 77.0173 cents 77.0173 6: 208.8393 cents 208.8393
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 77.01731 cents 1: 1 196.63591 cents 1: 1 201.76473 cents 1: 1 208.06751 cents 1: 1 208.83927 cents 1: 1 307.67527 cents 2: 1 273.65322 cents 2: 1 285.85658 cents 2: 1 404.70342 cents 2: 1 410.60400 cents 2: 1 509.44000 cents 2: 1 515.74278 cents 3: 1 481.72072 cents 3: 1 482.49249 cents 3: 1 487.62131 cents 3: 1 712.37869 cents 3: 1 717.50751 cents 3: 1 718.27927 cents 4: 1 684.25722 cents 4: 1 690.56000 cents 4: 1 789.39600 cents 4: 1 795.29658 cents 4: 1 914.14342 cents 4: 1 926.34678 cents 5: 1 892.32473 cents 5: 1 991.16073 cents 5: 1 991.93249 cents 5: 1 998.23527 cents 5: 1 1003.36409 cents 5: 1 1122.98269 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 : 201.8 509.4 717.5 914.1 991.2 1200.0 201.8 : 307.7 515.7 712.4 789.4 998.2 1200.0 509.4 : 208.1 404.7 481.7 690.6 892.3 1200.0 717.5 : 196.6 273.7 482.5 684.3 991.9 1200.0 914.1 : 77.0 285.9 487.6 795.3 1003.4 1200.0 991.2 : 208.8 410.6 718.3 926.3 1123.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 77.0173 .. 307.6753 cents 230.65796 cents 77.01731 cents 2: 273.6532 .. 515.7428 cents 242.08956 cents -34.02206 cents 3: 481.7207 .. 718.2793 cents 236.55855 cents -34.02205 cents 4: 684.2572 .. 926.3468 cents 242.08956 cents -34.02205 cents 5: 892.3247 .. 1122.9827 cents 230.65796 cents -34.02205 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 77.01731 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 307.67527 cents Average / Smallest step : 2.596819 Largest / Average step : 1.538376 Largest / Smallest step : 3.994885 Median interval of one step : 204.91612 cents, amount: 0 Least squares average step : 210.83016 cents, oct.: 1264.98096 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 21.81869 cents Scale diversity : 1.441733 Lumma stability : 0.128362 Lumma impropriety factor : 0.113407 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 : 0.77176 cents Number of recognisable fifths : 4, average 709.6814 cents Number of appreciable fifths : 2, average 701.4693 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 235.7868 cents: 3 -- Rational properties --
FIT/MODE
6: 1 2 1 1 0 1 N D3 SD: 61.1810 c. M:-90.5600 c. 7: 1 2 1 1 1 1 P M ME SD: 33.1743 c. M: 57.0006 c. 10: 2 2 2 2 0 2 P M DE SD: 30.0241 c. M:-45.8566 c. 11: 2 3 2 1 1 2 N SD: 30.2683 c. M:-46.1289 c. 12: 2 3 2 2 1 2 P G D3 SD: 10.6216 c. M: 17.5075 c. Mixolydian Hexatonic, P'yongjo: Korea, Yosen: Japan, Raga Darbar, Narayani, Suposhini, Andolika, Gorakh Kalyan, Rakta Hauns 17: 3 4 3 3 1 3 P G D3 SD: 9.0439 c. M: 15.3224 c. 28: 5 7 5 4 2 5 N SD: 9.4195 c. M: 14.1434 c. 29: 5 7 5 5 2 5 P G D3 SD: 8.2493 c. M: 14.0592 c. 30: 5 8 5 5 2 5 N D3 SD: 6.2353 c. M:-10.5600 c. 35: 6 9 6 6 2 6 N D3 SD: 5.6116 c. M:-11.5709 c. 42: 7 11 7 7 3 7 N D3 SD: 4.3804 c. M:-8.8393 c. 47: 8 12 8 8 3 8 N D3 SD: 3.1765 c. M:-5.0055 c. 75: 13 19 13 12 5 13 N SD: 3.0807 c. M:-6.2353 c. 80: 13 21 14 13 5 14 N SD: 3.0102 c. M: 6.7647 c. 85: 14 22 15 14 5 15 N SD: 2.7524 c. M: 4.1177 c. 87: 15 22 15 14 6 15 N SD: 2.7516 c. M:-5.1318 c. 92: 15 24 16 15 6 16 N SD: 2.5548 c. M: 6.1126 c. 97: 16 25 17 16 6 17 N SD: 1.9787 c. M: 3.8266 c. 102: 17 26 18 17 6 18 N SD: 2.4706 c. M: 3.5577 c. 109: 18 28 19 18 7 19 N SD: 2.0807 c. M: 3.5996 c. 125: 21 32 22 20 8 22 N SD: 1.6741 c. M:-2.4925 c. 137: 23 35 24 22 9 24 N SD: 1.5674 c. M: 3.1945 c. 142: 24 36 25 23 9 25 N SD: 1.6099 c. M: 2.4283 c. 144: 24 37 25 24 9 25 N SD: 1.3946 c. M:-2.5232 c. 155: 26 40 27 25 10 27 N SD: 1.2358 c. M:-2.4925 c. 156: 26 40 27 26 10 27 N SD: 1.5017 c. M: 2.1229 c. 160: 27 41 28 26 10 28 N SD: 1.2348 c. M:-2.4925 c. 167: 28 43 29 27 11 29 N SD: 0.8804 c. M: 1.5686 c. 172: 29 44 30 28 11 30 N SD: 0.5458 c. M:-1.0971 c. 184: 31 47 32 30 12 32 N SD: 0.5723 c. M: 1.0999 c. 219: 37 56 38 36 14 38 N SD: 0.6196 c. M:-0.9750 c. 311: 52 80 54 51 20 54 N SD: 0.5226 c. M: 1.1216 c. 328: 55 84 57 54 21 57 N SD: 0.5219 c. M: 0.9034 c. 356: 60 91 62 58 23 62 N SD: 0.4312 c. M: 0.6603 c. 386: 65 99 67 63 25 67 N SD: 0.4035 c. M:-0.6272 c. 403: 68 103 70 66 26 70 N SD: 0.3547 c. M:-0.7167 c. 483: 81 124 84 79 31 84 N SD: 0.3120 c. M: 0.5225 c. 500: 84 128 87 82 32 87 N SD: 0.2923 c. M: 0.6400 c. 570: 96 146 99 93 37 99 N SD: 0.3299 c. M: 0.4592 c. 655: 110 168 114 107 42 114 N SD: 0.2922 c. M:-0.6604 c. 667: 112 171 116 109 43 116 N SD: 0.2343 c. M:-0.3336 c. 714: 120 183 124 117 46 124 N SD: 0.2142 c. M:-0.4359 c. 886: 149 227 154 145 57 154 N SD: 0.1898 c. M:-0.3254 c. 970: 163 249 168 159 62 169 N SD: 0.1515 c. M:-0.2507 c. 982: 165 252 170 161 63 171 N SD: 0.1273 c. M: 0.1959 c. 1154: 194 296 200 189 74 201 N SD: 0.0917 c. M: 0.1729 c. 1201: 202 308 208 197 77 209 N SD: 0.0847 c. M:-0.1353 c. 1373: 231 352 238 225 88 239 N SD: 0.0759 c. M:-0.1289 c. 1385: 233 355 240 227 89 241 N SD: 0.0700 c. M:-0.1125 c. 1684: 283 432 292 276 108 293 N SD: 0.0745 c. M:-0.1084 c. 1696: 285 435 294 278 109 295 N SD: 0.0692 c. M: 0.1138 c. 1868: 314 479 324 306 120 325 N SD: 0.0394 c. M:-0.0598 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 7.7763 cents 3 x 4 x 5 x 6 S SD: 10.6300 cents 4 x 5:6 x 7:8 S SD: 31.5246 cents 5:6:7:8 x 9:10 S SD: 33.6194 cents 6:7:8:9:10:11:12 H SD: 15.7102 cents 7:8:9:11:12 x 14 SD: 20.9544 cents 8:9:11:12 x 14:16 SD: 9.9982 cents 14:16:19:21:24:25:28 SD: 7.4489 cents 17:19:23:26:29:30:34 SD: 4.6401 cents 23:26:31:35:39:41:46 SD: 3.0906 cents 35:39:47:53:59:62:70 SD: 2.9506 cents 39:44:52:59:66:69:78 SD: 2.3770 cents 47:53:63:71:80:83:94 SD: 1.9929 cents 49:55:66:74:83:87:98 SD: 1.3581 cents 56:63:75:85:95:99:112 SD: 1.3531 cents 79:89:106:120:134:140:158 SD: 1.2978 cents 82:92:110:124:139:145:164 SD: 0.8917 cents 88:99:118:133:149:156:176 SD: 0.7331 cents 105:118:141:159:178:186:210 SD: 0.3082 cents 234:263:314:354:397:415:468 SD: 0.2708 cents 243:273:326:368:412:431:486 SD: 0.2604 cents 292:328:392:442:495:518:584 SD: 0.2413 cents 316:355:424:478:536:560:632 SD: 0.2369 cents 325:365:436:492:551:576:650 SD: 0.2108 cents 339:381:455:513:575:601:678 SD: 0.1347 cents 444:499:596:672:753:787:888 SD: 0.1068 cents