Scala analysis: CD15_12_Morocco
Vous êtes le refuge du mystique / Sans toi, je ne me serai pas consumé de passion - L'ensemble de 'Umar Fâ'id Al-Ju'aydî (raml al-maya, Morocco)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 221.613 cents 221.612795 2: 402.110 cents 402.109946 3: 511.305 cents 511.304755 4: 726.674 cents 726.674333 5: 880.060 cents 880.060352 6: 1005.316 cents 1005.315735 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 194.6843 cents 194.6843 1: 221.6128 cents 221.6128 2: 180.4972 cents 180.4972 3: 109.1948 cents 109.1948 4: 215.3696 cents 215.3696 5: 153.3860 cents 153.3860 6: 125.2554 cents 125.2554 7: 194.6843 cents 194.6843
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 109.19481 cents 1: 1 125.25538 cents 1: 1 153.38602 cents 1: 1 180.49715 cents 1: 1 194.68426 cents 1: 1 215.36958 cents 1: 1 221.61279 cents 2: 1 278.64140 cents 2: 1 289.69196 cents 2: 1 319.93965 cents 2: 1 324.56439 cents 2: 1 368.75560 cents 2: 1 402.10995 cents 2: 1 416.29706 cents 3: 1 473.32567 cents 3: 1 477.95041 cents 3: 1 494.01098 cents 3: 1 505.06154 cents 3: 1 511.30475 cents 3: 1 541.55244 cents 3: 1 596.79421 cents 4: 1 603.20579 cents 4: 1 658.44756 cents 4: 1 688.69524 cents 4: 1 694.93846 cents 4: 1 705.98902 cents 4: 1 722.04959 cents 4: 1 726.67433 cents 5: 1 783.70294 cents 5: 1 797.89005 cents 5: 1 831.24440 cents 5: 1 875.43561 cents 5: 1 880.06035 cents 5: 1 910.30804 cents 5: 1 921.35860 cents 6: 1 978.38721 cents 6: 1 984.63042 cents 6: 1 1005.31574 cents 6: 1 1019.50285 cents 6: 1 1046.61398 cents 6: 1 1074.74462 cents 6: 1 1090.80519 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 : 221.6 402.1 511.3 726.7 880.1 1005.3 1200.0 221.6 : 180.5 289.7 505.1 658.4 783.7 978.4 1200.0 402.1 : 109.2 324.6 478.0 603.2 797.9 1019.5 1200.0 511.3 : 215.4 368.8 494.0 688.7 910.3 1090.8 1200.0 726.7 : 153.4 278.6 473.3 694.9 875.4 984.6 1200.0 880.1 : 125.3 319.9 541.6 722.0 831.2 1046.6 1200.0 1005.3: 194.7 416.3 596.8 706.0 921.4 1074.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 109.1948 .. 221.6128 cents 112.41799 cents 109.19481 cents 2: 278.6414 .. 416.2971 cents 137.65566 cents 57.02861 cents 3: 473.3257 .. 596.7942 cents 123.46854 cents 57.02861 cents 4: 603.2058 .. 726.6743 cents 123.46854 cents 6.41158 cents 5: 783.7029 .. 921.3586 cents 137.65566 cents 57.02861 cents 6: 978.3872 .. 1090.8052 cents 112.41799 cents 57.02861 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 109.19481 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 221.61279 cents Average / Smallest step : 1.569933 Largest / Average step : 1.292741 Largest / Smallest step : 2.029518 Median interval of one step : 180.49715 cents, amount: 1 Least squares average step : 173.56172 cents, oct.: 1214.93202 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : GDAFCBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.41158 cents Scale diversity : 1.639521 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.377430 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 : 4.62474 cents Number of recognisable fifths : 3, average 696.5409 cents Number of appreciable fifths : 2, average 700.4637 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 35.4199 c. M: 59.2528 c. Lebeng 10: 2 1 1 2 1 1 2 P D3 I SD: 31.1545 c. M: 45.3157 c. 11: 2 2 1 2 1 1 2 N D3 SD: 24.8521 c. M:-36.9620 c. 12: 2 2 1 2 2 1 2 P M ME S SD: 15.7513 c. M: 26.6743 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 18: 3 3 2 3 2 2 3 P D3 SD: 13.1411 c. M:-22.0286 c. 23: 4 4 2 4 3 2 4 N SD: 10.4695 c. M:-15.2814 c. 26: 5 4 2 5 3 3 4 P SD: 8.6460 c. M:-13.2747 c. 30: 6 4 3 5 4 3 5 P SD: 8.3748 c. M:-18.3872 c. 33: 6 5 3 6 4 4 5 SP SD: 5.8651 c. M:-12.8661 c. 38: 7 6 3 7 5 4 6 P SD: 4.6622 c. M:-8.4164 c. 45: 8 7 4 8 6 5 7 SP SD: 5.3897 c. M: 8.2795 c. 48: 9 7 4 9 6 5 8 P SD: 5.3504 c. M: 11.3048 c. 49: 9 7 5 9 6 5 8 SP SD: 5.1295 c. M: 10.2732 c. 50: 9 8 4 9 7 5 8 P SD: 5.7860 c. M:-7.9396 c. 54: 10 8 5 10 7 5 9 P SD: 4.7117 c. M:-8.8285 c. 56: 10 9 5 10 7 6 9 P SD: 3.7236 c. M: 7.3271 c. 63: 12 9 6 11 8 7 10 SP SD: 3.8294 c. M:-6.9586 c. 66: 12 10 6 12 8 7 11 P SD: 3.8455 c. M: 7.3331 c. 68: 13 10 6 12 9 7 11 P SD: 3.6003 c. M:-7.7990 c. 69: 13 10 6 13 9 7 11 SP SD: 4.5668 c. M: 6.9569 c. 71: 13 11 6 13 9 7 12 N SD: 3.8122 c. M: 8.1326 c. 72: 13 11 7 13 9 7 12 P SD: 4.4877 c. M:-6.6590 c. 74: 14 11 7 13 9 8 12 P SD: 4.2547 c. M:-7.6142 c. 75: 14 11 7 13 10 8 12 SP SD: 2.9854 c. M: 6.6743 c. 78: 14 12 7 14 10 8 13 P SD: 3.9158 c. M: 6.2282 c. 80: 15 12 7 14 11 8 13 P SD: 3.5971 c. M: 6.6743 c. 86: 16 13 8 15 11 9 14 P SD: 2.2841 c. M:-4.9743 c. 87: 16 13 8 16 11 9 14 SP SD: 2.2366 c. M:-4.3601 c. 98: 18 15 9 17 13 10 16 P SD: 2.2701 c. M: 4.2254 c. 104: 19 16 9 19 13 11 17 P SD: 2.1975 c. M: 3.6124 c. 117: 22 17 11 21 15 12 19 SP SD: 2.0465 c. M:-4.0282 c. 119: 22 18 11 21 15 13 19 SP SD: 1.9996 c. M:-3.0876 c. 124: 23 19 11 22 16 13 20 P SD: 1.8795 c. M:-4.3417 c. 129: 24 19 12 23 17 13 21 SP SD: 1.7845 c. M:-3.6606 c. 131: 24 20 12 23 17 14 21 SP SD: 1.7602 c. M: 3.0102 c. 134: 25 20 12 24 17 14 22 P SD: 1.6803 c. M: 2.4484 c. 147: 27 22 14 26 19 15 24 SP SD: 1.6390 c. M:-2.9810 c. 155: 29 23 14 28 20 16 25 SP SD: 1.5832 c. M:-2.9033 c. 162: 30 24 15 29 21 17 26 SP SD: 1.2992 c. M: 2.1099 c. 173: 32 26 16 31 22 18 28 SP SD: 1.0562 c. M:-1.9900 c. 185: 34 28 17 33 24 19 30 SP SD: 0.9918 c. M:-2.1018 c. 202: 37 31 18 36 26 21 33 P SD: 1.3696 c. M: 1.9219 c. 206: 38 31 19 37 26 22 33 SP SD: 1.2089 c. M:-2.4513 c. 211: 39 32 19 38 27 22 34 SP SD: 1.1134 c. M:-1.6815 c. 218: 40 33 20 39 28 23 35 SP SD: 1.0042 c. M:-2.0237 c. 221: 41 33 20 40 28 23 36 SP SD: 0.7154 c. M:-1.0116 c. 277: 51 42 25 50 35 29 45 SP SD: 0.6336 c. M:-1.1235 c. 314: 58 47 29 56 40 33 51 SP SD: 0.6396 c. M: 1.0795 c. 319: 59 48 29 57 41 33 52 SP SD: 0.4898 c. M: 0.9270 c. 352: 65 53 32 63 45 37 57 SP SD: 0.3205 c. M: 0.5380 c. 439: 81 66 40 79 56 46 71 SP SD: 0.3193 c. M:-0.6068 c. 525: 97 79 48 94 67 55 85 SP SD: 0.3208 c. M:-0.6952 c. 537: 99 81 49 96 69 56 87 SP SD: 0.3256 c. M:-0.4271 c. 573: 106 86 52 103 73 60 93 SP SD: 0.2605 c. M: 0.4792 c. 585: 108 88 53 105 75 61 95 SP SD: 0.2941 c. M: 0.5355 c. 671: 124 101 61 120 86 70 109 SP SD: 0.2860 c. M: 0.5939 c. 720: 133 108 66 129 92 75 117 SP SD: 0.2489 c. M: 0.4433 c. 746: 138 112 68 134 95 78 121 SP SD: 0.2335 c. M:-0.4034 c. 758: 140 114 69 136 97 79 123 SP SD: 0.0622 c. M:-0.1507 c. 1737: 321 261 158 312 222 181 282 SP SD: 0.0949 c. M:-0.1489 c. 1770: 327 266 161 318 226 185 287 SP SD: 0.0870 c. M: 0.1183 c. 1793: 331 270 163 322 229 187 291 SP SD: 0.0857 c. M:-0.1522 c. 1868: 345 281 170 335 239 195 303 SP SD: 0.0535 c. M: 0.1219 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: 12.3597 cents 3 x x 4 x 5 x 6 S SD: 4.6463 cents 4 x 5 x 6 x 7:8 S SD: 11.7049 cents 5 x 6:7 x 8:9:10 S SD: 26.1562 cents 6:7 x 8:9:10:11:12 S SD: 11.5395 cents 7:8:9 x 11:12:13:14 SD: 17.8868 cents 8:9:10:11:12:13:14:16 S SD: 10.7564 cents 10:11:13 x 15:17:18:20 SD: 15.0644 cents 11:13:14:15:17:18:20:22 SD: 12.6383 cents 12:14:15:16:18:20:21:24 S SD: 9.5133 cents 14:16:18:19:21:23:25:28 SD: 7.1700 cents 15:17:19:20:23:25:27:30 SD: 3.4934 cents 23:26:29:31:35:38:41:46 SD: 2.2842 cents 38:43:48:51:58:63:68:76 SD: 1.5904 cents 50:57:63:67:76:83:89:100 SD: 1.5172 cents 65:74:82:87:99:108:116:130 SD: 1.1318 cents 81:92:102:109:123:135:145:162 SD: 1.0680 cents 88:100:111:118:134:146:157:176 SD: 0.8591 cents 104:118:131:140:158:173:186:208 SD: 0.8512 cents 119:135:150:160:181:198:213:238 SD: 0.6764 cents 131:149:165:176:199:218:234:262 SD: 0.6437 cents 145:165:183:195:221:241:259:290 SD: 0.5964 cents 146:166:184:196:222:243:261:292 SD: 0.4595 cents 169:192:213:227:257:281:302:338 SD: 0.2904 cents 291:331:367:391:443:484:520:582 SD: 0.2637 cents 314:357:396:422:478:522:561:628 SD: 0.1930 cents 424:482:535:570:645:705:758:848 SD: 0.1849 cents 433:492:546:582:659:720:774:866 SD: 0.1717 cents 460:523:580:618:700:765:822:920 SD: 0.1717 cents 462:525:583:621:703:768:826:924 SD: 0.1689 cents 474:539:598:637:721:788:847:948 SD: 0.1662 cents 483:549:609:649:735:803:863:966 SD: 0.1416 cents 489:556:617:657:744:813:874:978 SD: 0.1162 cents 512:582:646:688:779:851:915:1024 SD: 0.0971 cents