Scala analysis: CD15_11_Morocco
Le destin m'a exaucé / Le zéphyr a présagé votre venue - L'ensemble de 'Umar Fâ'id Al-Ju'aydî (zidan, Morocco)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 219.987 cents 219.987154 2: 400.545 cents 400.545413 3: 512.279 cents 512.279218 4: 720.604 cents 720.603882 5: 902.410 cents 902.410291 6: 1018.854 cents 1018.853550 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 181.1465 cents 181.1465 1: 219.9872 cents 219.9872 2: 180.5583 cents 180.5583 3: 111.7338 cents 111.7338 4: 208.3247 cents 208.3247 5: 181.8064 cents 181.8064 6: 116.4433 cents 116.4433 7: 181.1465 cents 181.1465
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 111.73380 cents 1: 1 116.44326 cents 1: 1 180.55826 cents 1: 1 181.14645 cents 1: 1 181.80641 cents 1: 1 208.32466 cents 1: 1 219.98715 cents 2: 1 292.29206 cents 2: 1 297.58971 cents 2: 1 298.24967 cents 2: 1 320.05847 cents 2: 1 390.13107 cents 2: 1 400.54541 cents 2: 1 401.13360 cents 3: 1 479.39612 cents 3: 1 500.61673 cents 3: 1 501.86488 cents 3: 1 506.57433 cents 3: 1 512.27922 cents 3: 1 517.57686 cents 3: 1 581.69186 cents 4: 1 618.30814 cents 4: 1 682.42314 cents 4: 1 687.72078 cents 4: 1 693.42567 cents 4: 1 698.13512 cents 4: 1 699.38327 cents 4: 1 720.60388 cents 5: 1 798.86640 cents 5: 1 799.45459 cents 5: 1 809.86893 cents 5: 1 879.94153 cents 5: 1 901.75033 cents 5: 1 902.41029 cents 5: 1 907.70794 cents 6: 1 980.01285 cents 6: 1 991.67534 cents 6: 1 1018.19359 cents 6: 1 1018.85355 cents 6: 1 1019.44174 cents 6: 1 1083.55674 cents 6: 1 1088.26619 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 : 220.0 400.5 512.3 720.6 902.4 1018.9 1200.0 220.0 : 180.6 292.3 500.6 682.4 798.9 980.0 1200.0 400.5 : 111.7 320.1 501.9 618.3 799.5 1019.4 1200.0 512.3 : 208.3 390.1 506.6 687.7 907.7 1088.3 1200.0 720.6 : 181.8 298.2 479.4 699.4 879.9 991.7 1200.0 902.4 : 116.4 297.6 517.6 698.1 809.9 1018.2 1200.0 1018.9: 181.1 401.1 581.7 693.4 901.8 1083.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 111.7338 .. 219.9872 cents 108.25335 cents 111.73380 cents 2: 292.2921 .. 401.1336 cents 108.84154 cents 72.30491 cents 3: 479.3961 .. 581.6919 cents 102.29574 cents 78.26251 cents 4: 618.3081 .. 720.6039 cents 102.29574 cents 36.61627 cents 5: 798.8664 .. 907.7079 cents 108.84154 cents 78.26251 cents 6: 980.0128 .. 1088.2662 cents 108.25335 cents 72.30491 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 111.73380 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 219.98715 cents Average / Smallest step : 1.534259 Largest / Average step : 1.283258 Largest / Smallest step : 1.968850 Median interval of one step : 181.14645 cents, amount: 1 Least squares average step : 174.75360 cents, oct.: 1223.27520 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : GCAFEBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 36.61627 cents Scale diversity : 1.489883 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.467682 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 : 0.58819 cents Number of recognisable fifths : 4, average 694.6662 cents Number of appreciable fifths : 3, average 696.9814 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 108.2533 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 35.9578 c. M: 57.6883 c. Lebeng 11: 2 2 1 2 1 1 2 N D3 SD: 30.4521 c. M:-43.0325 c. 12: 2 2 1 2 2 1 2 P M ME S SD: 13.8169 c. M: 20.6039 c. G.Hypophrygian, G.Ionian (Iastian), M.Mixolydian, G.M.Hypoionian, Hypermixolydian, Mischung 3, Khamaj That, Mela Harikambhoji, Raga Balahamsa, Bhim, Devamanohari, Harini, Janjhuti, Kaamaai, Khambhavati, Surati, Gregorian nr.7, Enharmonic Byzantine Liturgical, Rast descending: Greece, Ching, Shang: China 21: 4 3 2 4 3 2 3 SP T3 SD: 10.7483 c. M:-22.2533 c. 25: 5 3 3 4 4 2 4 SP SD: 12.7141 c. M:-20.0128 c. 26: 5 4 2 5 4 2 4 P T3 SD: 12.6239 c. M:-20.6666 c. 27: 5 4 3 4 4 3 4 SP T3 S SD: 10.2320 c. M:-21.0541 c. 28: 5 4 3 5 4 3 4 SP T3 SD: 7.7480 c. M: 14.8311 c. 32: 6 5 3 5 5 3 5 P T3 S SD: 7.9436 c. M:-12.7208 c. 33: 6 5 3 6 5 3 5 SP T3 SD: 3.8411 c. M:-6.6806 c. 45: 8 7 4 8 7 4 7 SP T3 SD: 4.2262 c. M: 6.6538 c. 60: 11 9 6 10 9 6 9 SP SD: 3.1029 c. M:-7.7208 c. 65: 12 10 6 11 10 6 10 SP SD: 3.2224 c. M:-5.6084 c. 72: 13 11 7 12 11 7 11 SP SD: 2.8452 c. M:-4.3874 c. 87: 16 13 8 15 13 9 13 SP SD: 2.7654 c. M: 5.8586 c. 92: 17 14 8 16 14 9 14 SP SD: 2.6360 c. M:-3.8024 c. 93: 17 14 9 16 14 9 14 SP SD: 1.7047 c. M:-3.8498 c. 98: 18 15 9 17 15 9 15 SP SD: 2.3988 c. M:-3.7122 c. 105: 19 16 10 18 16 10 16 SP SD: 1.5073 c. M: 2.8443 c. 120: 22 18 11 21 18 12 18 SP SD: 1.3618 c. M: 2.4103 c. 153: 28 23 14 27 23 15 23 SP SD: 1.0869 c. M: 2.4753 c. 173: 32 26 16 30 26 17 26 SP SD: 1.1818 c. M:-1.9782 c. 180: 33 27 17 31 27 18 27 SP SD: 1.1274 c. M: 2.4103 c. 185: 34 28 17 32 28 18 28 SP SD: 0.7705 c. M:-1.6167 c. 213: 39 32 20 37 32 21 32 SP SD: 0.6038 c. M: 1.0018 c. 218: 40 33 20 38 33 21 33 SP SD: 0.5909 c. M:-1.2894 c. 290: 53 44 27 50 44 28 44 SP SD: 0.6724 c. M: 0.9225 c. 311: 57 47 29 54 47 30 47 SP SD: 0.6008 c. M:-0.9395 c. 323: 59 49 30 56 49 31 49 SP SD: 0.5663 c. M: 0.8969 c. 326: 60 49 30 57 49 32 49 SP SD: 0.6863 c. M:-0.8717 c. 338: 62 51 31 59 51 33 51 SP SD: 0.5237 c. M: 1.0366 c. 366: 67 55 34 64 55 36 55 SP SD: 0.6334 c. M:-0.8186 c. 371: 68 56 34 65 56 36 56 SP SD: 0.5695 c. M: 1.2280 c. 398: 73 60 37 69 60 39 60 SP SD: 0.4102 c. M: 0.9028 c. 431: 79 65 40 75 65 42 65 SP SD: 0.2780 c. M:-0.5098 c. 698: 128 105 65 121 106 68 105 SP SD: 0.2676 c. M:-0.6307 c. 731: 134 110 68 127 111 71 110 SP SD: 0.2815 c. M:-0.5719 c. 743: 136 112 69 129 113 72 112 SP SD: 0.2733 c. M:-0.4161 c. 796: 146 120 74 138 121 77 120 SP SD: 0.3227 c. M:-0.6048 c. 801: 147 120 75 139 121 78 121 SP SD: 0.3083 c. M: 0.5454 c. 803: 147 121 75 139 122 78 121 SP SD: 0.2474 c. M:-0.3245 c. 806: 148 121 75 140 122 78 122 SP SD: 0.2448 c. M: 0.4913 c. 899: 165 135 84 156 136 87 136 SP SD: 0.2255 c. M: 0.3886 c. 916: 168 138 85 159 139 89 138 SP SD: 0.2072 c. M:-0.3604 c. 1009: 185 152 94 175 153 98 152 SP SD: 0.2326 c. M:-0.3734 c. 1019: 187 153 95 177 154 99 154 SP SD: 0.1896 c. M: 0.3494 c. 1021: 187 154 95 177 155 99 154 SP SD: 0.1763 c. M:-0.2381 c. 1141: 209 172 106 198 173 111 172 SP SD: 0.1537 c. M:-0.2525 c. 1174: 215 177 109 204 178 114 177 SP SD: 0.1584 c. M:-0.2265 c. 1234: 226 186 115 214 187 120 186 SP SD: 0.1563 c. M:-0.2712 c. 1319: 242 198 123 229 200 128 199 SP SD: 0.1299 c. M: 0.2422 c. 1331: 244 200 124 231 202 129 201 SP SD: 0.1523 c. M: 0.2449 c. 1384: 254 208 129 240 210 134 209 SP SD: 0.1366 c. M:-0.2441 c. 1424: 261 214 133 247 216 138 215 SP SD: 0.1213 c. M: 0.2645 c. 1504: 276 226 140 261 228 146 227 SP SD: 0.1000 c. M:-0.2256 c. 1537: 282 231 143 267 233 149 232 SP SD: 0.0950 c. M:-0.1820 c. 1597: 293 240 149 277 242 155 241 SP SD: 0.1001 c. M:-0.1816 c. 1609: 295 242 150 279 244 156 243 SP SD: 0.0780 c. M: 0.1564 c. 1642: 301 247 153 285 249 159 248 SP SD: 0.0711 c. M:-0.1476 c. 1750: 321 263 163 304 265 170 264 SP SD: 0.0821 c. M:-0.1271 c. 1762: 323 265 164 306 267 171 266 SP SD: 0.0662 c. M: 0.1339 c. 1822: 334 274 170 316 276 177 275 SP SD: 0.0799 c. M:-0.1247 c. 1827: 335 275 170 317 277 177 276 SP SD: 0.0782 c. M: 0.1343 c. 1855: 340 279 173 322 281 180 280 SP SD: 0.0552 c. M: 0.1141 c. 1947: 357 293 181 338 295 189 294 SP SD: 0.0788 c. M: 0.1108 c. 1980: 363 298 184 344 300 192 299 SP SD: 0.0690 c. M: 0.1580 c. 2040: 374 307 190 354 309 198 308 SP SD: 0.0412 c. M:-0.0737 c. 2073: 380 312 193 360 314 201 313 SP SD: 0.0450 c. M:-0.0908 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: 9.3244 cents 3 x x 4 x 5 x 6 S SD: 7.6628 cents 4 x 5 x 6 x 7:8 S SD: 13.8137 cents 5 x 6:7 x 8:9:10 S SD: 28.2948 cents 6:7 x 8:9:10:11:12 S SD: 10.5477 cents 7:8:9 x 11:12:13:14 SD: 15.7099 cents 8:9:10:11:12:13:14:16 S SD: 13.2980 cents 9:10:11:12:14:15:16:18 S SD: 12.1608 cents 10:11:13 x 15:17:18:20 SD: 13.4539 cents 12:14:15:16:18:20:22:24 S SD: 9.2667 cents 14:16:18:19:21:24:25:28 SD: 7.9607 cents 15:17:19:20:23:25:27:30 SD: 4.5018 cents 23:26:29:31:35:39:41:46 SD: 3.4559 cents 29:33:37:39:44:49:52:58 SD: 3.3816 cents 31:35:39:42:47:52:56:62 SD: 2.7138 cents 35:40:44:47:53:59:63:70 SD: 1.7906 cents 50:57:63:67:76:84:90:100 SD: 1.5423 cents 58:66:73:78:88:98:104:116 SD: 1.5348 cents 66:75:83:89:100:111:119:132 SD: 1.0531 cents 81:92:102:109:123:136:146:162 SD: 0.9158 cents 95:108:120:128:144:160:171:190 SD: 0.8620 cents 104:118:131:140:158:175:187:208 SD: 0.8035 cents 111:126:140:149:168:187:200:222 SD: 0.6212 cents 142:161:179:191:215:239:256:284 SD: 0.5891 cents 162:184:204:218:246:273:292:324 SD: 0.5428 cents 177:201:223:238:268:298:319:354 SD: 0.3915 cents 192:218:242:258:291:323:346:384 SD: 0.3279 cents 215:244:271:289:326:362:387:430 SD: 0.2355 cents 250:284:315:336:379:421:450:500 SD: 0.2327 cents 273:310:344:367:414:460:492:546 SD: 0.1850 cents 465:528:586:625:705:783:838:930 SD: 0.1337 cents 488:554:615:656:740:822:879:976 SD: 0.0768 cents