Scala analysis: CD15_18_Morocco
Dieu leur fit apparaître / Une lune parfaite - L'ensemble de 'Umar Fâ'id Al-Ju'aydî (unknown maqam, Morocco)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 210.951 cents 210.951455 2: 504.504 cents 504.504279 3: 704.232 cents 704.232264 4: 1006.136 cents 1006.135512 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 193.8645 cents 193.8645 1: 210.9515 cents 210.9515 2: 293.5528 cents 293.5528 3: 199.7280 cents 199.7280 4: 301.9032 cents 301.9032 5: 193.8645 cents 193.8645
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 193.86449 cents 1: 1 199.72799 cents 1: 1 210.95145 cents 1: 1 293.55282 cents 1: 1 301.90325 cents 2: 1 404.81594 cents 2: 1 493.28081 cents 2: 1 495.76774 cents 2: 1 501.63123 cents 2: 1 504.50428 cents 3: 1 695.49572 cents 3: 1 698.36877 cents 3: 1 704.23226 cents 3: 1 706.71919 cents 3: 1 795.18406 cents 4: 1 898.09675 cents 4: 1 906.44718 cents 4: 1 989.04855 cents 4: 1 1000.27202 cents 4: 1 1006.13551 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 211.0 504.5 704.2 1006.1 1200.0 211.0 : 293.6 493.3 795.2 989.0 1200.0 504.5 : 199.7 501.6 695.5 906.4 1200.0 704.2 : 301.9 495.8 706.7 1000.3 1200.0 1006.1: 193.9 404.8 698.4 898.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 193.8645 .. 301.9032 cents 108.03876 cents 193.86449 cents 2: 404.8159 .. 504.5043 cents 99.68834 cents 102.91269 cents 3: 695.4957 .. 795.1841 cents 99.68834 cents 190.99144 cents 4: 898.0968 .. 1006.1355 cents 108.03876 cents 102.91270 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 193.86449 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 301.90325 cents Average / Smallest step : 1.237978 Largest / Average step : 1.257930 Largest / Smallest step : 1.557290 Median interval of one step : 210.95145 cents, amount: 1 Least squares average step : 242.85816 cents, oct.: 1214.29080 cents Scale is strictly proper Step pattern alph. order: ABCDE Step pattern size order : CDBEA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 102.91270 cents Scale diversity : 1.354882 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.653788 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 2.48693 cents Number of recognisable fifths : 4, average 701.2040 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 27.6456 c. M: 46.1355 c. 7: 1 2 1 2 1 P M ME I SD: 22.3787 c. M: 39.5229 c. Thai mode 2 12: 2 3 2 3 2 SP M ME I SD: 6.2575 c. M: 10.9515 c. Suspended Pentatonic, Raga Madhyamavati, Madhmat Sarang, Megh, Egyptian, Shang, Rui Bin, Jin Yu, Qing Yu: China, Yo: Japan, Ngu Cung Dao: Vietnam, Yematebela wofe: Ethiopia 38: 7 9 6 10 6 SP SD: 6.5123 c. M:-10.1012 c. 41: 7 10 7 10 7 SP M DE I SD: 6.4747 c. M: 11.0136 c. 45: 8 11 7 12 7 SP SD: 6.0157 c. M: 10.8989 c. 49: 9 12 8 12 8 SP T3 SD: 6.7080 c. M:-9.7814 c. 50: 9 12 8 13 8 SP SD: 4.4043 c. M: 8.2323 c. 55: 10 13 9 14 9 SP SD: 4.5243 c. M:-7.2304 c. 56: 10 14 9 14 9 SP T3 SD: 4.8224 c. M:-9.7814 c. 57: 10 14 9 15 9 SP SD: 4.6947 c. M: 9.4954 c. 61: 11 15 10 15 10 SP T3 SD: 4.5186 c. M:-6.9711 c. 62: 11 15 10 16 10 SP SD: 3.4976 c. M: 7.4581 c. 67: 12 16 11 17 11 SP SD: 3.6759 c. M: 5.7248 c. 68: 12 17 11 17 11 SP T3 SD: 3.3515 c. M:-7.2604 c. 73: 13 18 12 18 12 SP T3 SD: 3.2181 c. M:-5.0848 c. 74: 13 18 12 19 12 SP SD: 3.2216 c. M: 6.9350 c. 80: 14 20 13 20 13 SP T3 SD: 2.5685 c. M:-5.4957 c. 85: 15 21 14 21 14 SP T3 SD: 2.5145 c. M: 3.7826 c. 92: 16 23 15 23 15 SP T3 SD: 2.2744 c. M:-4.1914 c. 97: 17 24 16 24 16 SP T3 SD: 2.2456 c. M: 4.0737 c. 104: 18 26 17 26 17 SP T3 SD: 2.2880 c. M: 3.2591 c. 107: 19 26 18 27 17 SP SD: 2.0109 c. M:-3.2103 c. 119: 21 29 20 30 19 SP SD: 1.3129 c. M:-2.2678 c. 124: 22 30 21 31 20 SP SD: 1.4470 c. M:-2.2193 c. 131: 23 32 22 33 21 SP SD: 0.8968 c. M:-1.4981 c. 143: 25 35 24 36 23 SP SD: 0.8413 c. M: 1.1612 c. 216: 38 53 36 54 35 SP SD: 0.8023 c. M:-1.3233 c. 228: 40 56 38 57 37 SP SD: 0.7184 c. M:-1.0309 c. 266: 47 65 44 67 43 SP SD: 0.6289 c. M:-1.0786 c. 273: 48 67 45 69 44 SP SD: 0.6429 c. M:-0.9902 c. 278: 49 68 46 70 45 SP SD: 0.4782 c. M: 0.6351 c. 290: 51 71 48 73 47 SP SD: 0.4708 c. M: 0.7840 c. 385: 68 94 64 97 62 SP SD: 0.5646 c. M:-0.9966 c. 392: 69 96 65 99 63 SP SD: 0.5421 c. M:-1.0073 c. 397: 70 97 66 100 64 SP SD: 0.3624 c. M:-0.6354 c. 409: 72 100 68 103 66 SP SD: 0.1800 c. M:-0.2955 c. 421: 74 103 70 106 68 SP SD: 0.0895 c. M: 0.1943 c. 830: 146 203 138 209 134 SP SD: 0.1081 c. M: 0.1359 c. 978: 172 239 163 246 158 SP SD: 0.1061 c. M: 0.2098 c. 1201: 211 294 200 302 194 SP SD: 0.1050 c. M:-0.1807 c. 1251: 220 306 208 315 202 SP SD: 0.0929 c. M: 0.1555 c. 1387: 244 339 231 349 224 SP SD: 0.0883 c. M:-0.1516 c. 1399: 246 342 233 352 226 SP SD: 0.0697 c. M: 0.1440 c. 1491: 262 365 248 375 241 SP SD: 0.0807 c. M:-0.1235 c. 1610: 283 394 268 405 260 SP SD: 0.0747 c. M:-0.1156 c. 1622: 285 397 270 408 262 SP SD: 0.0653 c. M: 0.1007 c. 1820: 320 445 303 458 294 SP SD: 0.0579 c. M: 0.1087 c. 1912: 336 468 318 481 309 SP SD: 0.0663 c. M:-0.0982 c. 2019: 355 494 336 508 326 SP SD: 0.0766 c. M:-0.1052 c. 2024: 356 495 337 509 327 SP SD: 0.0755 c. M:-0.1157 c. 2031: 357 497 338 511 328 SP SD: 0.0516 c. M:-0.0747 c. 2036: 358 498 339 512 329 SP SD: 0.0508 c. M:-0.0899 c. 2043: 359 500 340 514 330 SP SD: 0.0474 c. M: 0.0851 c. 2048: 360 501 341 515 331 SP SD: 0.0470 c. M: 0.0808 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 1.1386 cents 3 x 4 x 5:6 S SD: 40.6493 cents 4 x 5:6:7:8 S SD: 30.9901 cents 6:7:8:9:11:12 SD: 14.2021 cents 8:9:11:12:14:16 SD: 12.0637 cents 14:16:19:21:25:28 SD: 6.3384 cents 18:20:24:27:32:36 SD: 6.2058 cents 23:26:31:35:41:46 SD: 5.2641 cents 24:27:32:36:43:48 SD: 2.0807 cents 38:43:51:57:68:76 SD: 1.2674 cents 62:70:83:93:111:124 SD: 0.6539 cents 147:166:197:221:263:294 SD: 0.6136 cents 169:191:226:254:302:338 SD: 0.4534 cents 193:218:258:290:345:386 SD: 0.4347 cents 201:227:269:302:359:402 SD: 0.4212 cents 207:234:277:311:370:414 SD: 0.3118 cents 231:261:309:347:413:462 SD: 0.2013 cents 269:304:360:404:481:538 SD: 0.1637 cents 293:331:392:440:524:586 SD: 0.1424 cents 532:601:712:799:951:1064 SD: 0.1108 cents 556:628:744:835:994:1112 SD: 0.0971 cents 594:671:795:892:1062:1188 SD: 0.0850 cents