Scala analysis: CD16_08_Morocco
Accours te réfugier au sanctuaire - 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: 192.279 cents 192.278577 2: 489.222 cents 489.221828 3: 691.972 cents 691.971529 4: 885.379 cents 885.379221 5: 993.394 cents 993.394125 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 206.6059 cents 206.6059 1: 192.2786 cents 192.2786 2: 296.9433 cents 296.9433 3: 202.7497 cents 202.7497 4: 193.4077 cents 193.4077 5: 108.0149 cents 108.0149 6: 206.6059 cents 206.6059
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 108.01490 cents 1: 1 192.27858 cents 1: 1 193.40769 cents 1: 1 202.74970 cents 1: 1 206.60587 cents 1: 1 296.94325 cents 2: 1 301.42260 cents 2: 1 314.62078 cents 2: 1 396.15739 cents 2: 1 398.88445 cents 2: 1 489.22183 cents 2: 1 499.69295 cents 3: 1 504.17230 cents 3: 1 506.89936 cents 3: 1 508.02847 cents 3: 1 691.97153 cents 3: 1 693.10064 cents 3: 1 695.82770 cents 4: 1 700.30705 cents 4: 1 710.77817 cents 4: 1 801.11555 cents 4: 1 803.84261 cents 4: 1 885.37922 cents 4: 1 898.57740 cents 5: 1 903.05675 cents 5: 1 993.39413 cents 5: 1 997.25030 cents 5: 1 1006.59231 cents 5: 1 1007.72142 cents 5: 1 1091.98510 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 : 192.3 489.2 692.0 885.4 993.4 1200.0 192.3 : 296.9 499.7 693.1 801.1 1007.7 1200.0 489.2 : 202.7 396.2 504.2 710.8 903.1 1200.0 692.0 : 193.4 301.4 508.0 700.3 997.3 1200.0 885.4 : 108.0 314.6 506.9 803.8 1006.6 1200.0 993.4 : 206.6 398.9 695.8 898.6 1092.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 108.0149 .. 296.9433 cents 188.92835 cents 108.01490 cents 2: 301.4226 .. 499.6930 cents 198.27036 cents 4.47935 cents 3: 504.1723 .. 695.8277 cents 191.65541 cents 4.47935 cents 4: 700.3070 .. 898.5774 cents 198.27036 cents 4.47935 cents 5: 903.0567 .. 1091.9851 cents 188.92835 cents 4.47935 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 108.01490 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 296.94325 cents Average / Smallest step : 1.851596 Largest / Average step : 1.484716 Largest / Smallest step : 2.749095 Median interval of one step : 198.07870 cents, amount: 0 Least squares average step : 208.29807 cents, oct.: 1249.78842 cents Scale is strictly proper Step pattern alph. order: ABCDEF Step pattern size order : BFDCAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.47934 cents Scale diversity : 1.395302 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.194956 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 : 1.12911 cents Number of recognisable fifths : 5, average 698.3970 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 187.7992 cents: 3 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 62.9976 c. M: 91.9715 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 2 1 1 1 1 P M ME SD: 22.8649 c. M:-35.1773 c. 12: 2 3 2 2 1 2 P G D3 SD: 9.1072 c. M:-14.6208 c. Mixolydian Hexatonic, P'yongjo: Korea, Yosen: Japan, Raga Darbar, Narayani, Suposhini, Andolika, Gorakh Kalyan, Rakta Hauns 30: 5 7 5 5 3 5 SP D3 SD: 7.7519 c. M: 11.9715 c. 35: 6 8 6 6 3 6 SP D3 SD: 7.5510 c. M:-13.4357 c. 42: 7 10 7 7 4 7 SP D3 SD: 5.0798 c. M:-7.7214 c. 45: 7 11 8 7 4 8 P SD: 5.6655 c. M: 9.2218 c. 49: 8 12 8 8 5 8 SP D3 SD: 5.4923 c. M:-10.6875 c. 52: 8 13 9 8 5 9 P SD: 5.0455 c. M: 8.4561 c. 54: 9 13 9 9 5 9 SP D3 SD: 4.5678 c. M:-7.7214 c. 56: 9 14 9 9 5 10 P SD: 5.1321 c. M: 7.6798 c. 57: 9 14 10 9 5 10 P SD: 3.0920 c. M: 5.0113 c. 64: 10 16 11 10 6 11 P SD: 2.7731 c. M: 4.7786 c. 69: 11 17 12 11 6 12 P SD: 2.1009 c. M:-3.6806 c. 76: 12 19 13 12 7 13 P SD: 1.7676 c. M: 2.8049 c. 88: 14 22 15 14 8 15 P SD: 1.9178 c. M:-3.4830 c. 106: 17 26 18 17 10 18 SP SD: 1.8930 c. M:-2.8323 c. 111: 18 27 19 18 10 19 SP SD: 1.6083 c. M: 2.7353 c. 118: 19 29 20 19 11 20 SP SD: 1.4725 c. M:-3.2160 c. 130: 21 32 22 21 12 22 SP SD: 1.6137 c. M:-3.5290 c. 137: 22 34 23 22 12 24 P SD: 1.6018 c. M: 3.6131 c. 144: 23 36 24 23 13 25 P SD: 1.5063 c. M:-2.4448 c. 156: 25 39 26 25 14 27 P SD: 1.3784 c. M:-3.0859 c. 167: 27 41 28 27 15 29 SP SD: 1.5024 c. M: 2.1512 c. 174: 28 43 29 28 16 30 SP SD: 1.4824 c. M: 2.6206 c. 175: 28 43 30 28 16 30 SP SD: 1.1163 c. M: 2.3647 c. 179: 29 44 30 29 16 31 SP SD: 1.1855 c. M:-2.1348 c. 186: 30 46 31 30 17 32 SP SD: 1.1432 c. M: 1.6489 c. 187: 30 46 32 30 17 32 SP SD: 0.9260 c. M: 1.5213 c. 199: 32 49 34 32 18 34 SP SD: 1.0742 c. M:-1.5807 c. 213: 34 53 36 34 19 37 P SD: 1.0419 c. M: 1.8448 c. 225: 36 56 38 36 20 39 P SD: 0.9971 c. M:-1.4448 c. 231: 37 57 39 37 21 40 SP SD: 1.1894 c. M: 2.2623 c. 232: 37 58 39 37 21 40 P SD: 1.1279 c. M:-2.1575 c. 233: 37 58 39 38 21 40 SP SD: 1.0743 c. M: 1.8428 c. 236: 38 58 40 38 21 41 SP SD: 1.0132 c. M: 1.8687 c. 238: 38 59 40 39 21 41 SP SD: 1.0033 c. M:-2.0157 c. 243: 39 60 41 39 22 42 SP SD: 0.7382 c. M: 1.4286 c. 245: 39 61 41 40 22 42 SP SD: 0.9900 c. M: 1.3593 c. 248: 40 61 42 40 22 43 SP SD: 0.8180 c. M: 1.4586 c. 255: 41 63 43 41 23 44 SP SD: 0.4428 c. M: 0.6733 c. 267: 43 66 45 43 24 46 SP SD: 0.4914 c. M:-0.9798 c. 324: 52 80 55 52 29 56 SP SD: 0.4610 c. M: 0.8015 c. 331: 53 82 56 53 30 57 SP SD: 0.3888 c. M: 0.7871 c. 343: 55 85 58 55 31 59 SP SD: 0.4073 c. M:-0.7398 c. 442: 71 109 75 71 40 76 SP SD: 0.3653 c. M: 0.5340 c. 454: 73 112 77 73 41 78 SP SD: 0.4079 c. M:-0.6730 c. 493: 79 122 83 80 44 85 SP SD: 0.3994 c. M: 0.6936 c. 500: 80 124 84 81 45 86 SP SD: 0.3888 c. M: 0.7715 c. 545: 87 135 92 88 49 94 SP SD: 0.4539 c. M: 0.7189 c. 550: 88 136 93 89 49 95 SP SD: 0.4227 c. M: 0.6669 c. 557: 89 138 94 90 50 96 SP SD: 0.2998 c. M: 0.5371 c. 569: 91 141 96 92 51 98 SP SD: 0.2389 c. M:-0.3853 c. 756: 121 187 128 122 68 130 SP SD: 0.2393 c. M:-0.3351 c. 812: 130 201 137 131 73 140 SP SD: 0.2074 c. M: 0.3459 c. 824: 132 204 139 133 74 142 SP SD: 0.1300 c. M: 0.2240 c. 900: 144 223 152 145 81 155 SP SD: 0.1269 c. M: 0.2786 c. 999: 160 247 169 161 90 172 SP SD: 0.1492 c. M: 0.3329 c. 1011: 162 250 171 163 91 174 SP SD: 0.0942 c. M: 0.2011 c. 1155: 185 286 195 186 104 199 SP SD: 0.1139 c. M: 0.1844 c. 1167: 187 289 197 188 105 201 SP SD: 0.1061 c. M:-0.2383 c. 1266: 203 313 214 204 114 218 SP SD: 0.0825 c. M:-0.1385 c. 1278: 205 316 216 206 115 220 SP SD: 0.0932 c. M:-0.2097 c. 1342: 215 332 227 216 121 231 SP SD: 0.0894 c. M: 0.1333 c. 1823: 292 451 308 294 164 314 SP SD: 0.0937 c. M: 0.1449 c. 1835: 294 454 310 296 165 316 SP SD: 0.0575 c. M: 0.0914 c. 2166: 347 536 366 349 195 373 SP SD: 0.0350 c. M: 0.0607 c. 2178: 349 539 368 351 196 375 SP SD: 0.0233 c. M:-0.0395 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 4.9917 cents 3 x 4 x 5 x 6 S SD: 2.9607 cents 4 x 5:6 x 7:8 S SD: 26.5675 cents 5:6:7 x 8:9:10 S SD: 34.4367 cents 6:7:8:9:10:11:12 H SD: 15.7013 cents 7:8:9:10:12 x 14 S SD: 22.1555 cents 8:9:11:12:13:14:16 SD: 13.6485 cents 9:10:12:13:15:16:18 SD: 9.4981 cents 15:17:20:22:25:27:30 SD: 7.6320 cents 16:18:21:24:27:28:32 S SD: 6.6631 cents 18:20:24:27:30:32:36 S SD: 2.8055 cents 43:48:57:64:72:76:86 SD: 1.8341 cents 49:55:65:73:82:87:98 SD: 1.6607 cents 61:68:81:91:102:108:122 SD: 1.3119 cents 67:75:89:100:112:119:134 SD: 0.9808 cents 94:105:125:140:157:167:188 SD: 0.9596 cents 102:114:135:152:170:181:204 SD: 0.7239 cents 120:134:159:179:200:213:240 SD: 0.4352 cents 169:189:224:252:282:300:338 SD: 0.3766 cents 187:209:248:279:312:332:374 SD: 0.2117 cents 334:373:443:498:557:593:668 SD: 0.2112 cents 364:407:483:543:607:646:728 SD: 0.2089 cents 383:428:508:571:639:680:766 SD: 0.1843 cents 401:448:532:598:669:712:802 SD: 0.1658 cents 484:541:642:722:807:859:968 SD: 0.1239 cents 493:551:654:735:822:875:986 SD: 0.1231 cents 511:571:678:762:852:907:1022 SD: 0.0885 cents