Scala analysis: CD15_16_Morocco
Que Dieu ne sépare point les amoureux - 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: 212.389 cents 212.388544 2: 374.554 cents 374.554212 3: 501.287 cents 501.286765 4: 704.629 cents 704.628714 5: 996.837 cents 996.837348 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 203.1627 cents 203.1627 1: 212.3885 cents 212.3885 2: 162.1657 cents 162.1657 3: 126.7326 cents 126.7326 4: 203.3419 cents 203.3419 5: 292.2086 cents 292.2086 6: 203.1627 cents 203.1627
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 126.73255 cents 1: 1 162.16567 cents 1: 1 203.16265 cents 1: 1 203.34195 cents 1: 1 212.38854 cents 1: 1 292.20863 cents 2: 1 288.89822 cents 2: 1 330.07450 cents 2: 1 374.55421 cents 2: 1 415.55120 cents 2: 1 495.37129 cents 2: 1 495.55058 cents 3: 1 492.24017 cents 3: 1 501.28676 cents 3: 1 577.71686 cents 3: 1 622.28314 cents 3: 1 698.71324 cents 3: 1 707.75983 cents 4: 1 704.44942 cents 4: 1 704.62871 cents 4: 1 784.44880 cents 4: 1 825.44579 cents 4: 1 869.92550 cents 4: 1 911.10178 cents 5: 1 907.79137 cents 5: 1 987.61146 cents 5: 1 996.65805 cents 5: 1 996.83735 cents 5: 1 1037.83433 cents 5: 1 1073.26745 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 : 212.4 374.6 501.3 704.6 996.8 1200.0 212.4 : 162.2 288.9 492.2 784.4 987.6 1200.0 374.6 : 126.7 330.1 622.3 825.4 1037.8 1200.0 501.3 : 203.3 495.6 698.7 911.1 1073.3 1200.0 704.6 : 292.2 495.4 707.8 869.9 996.7 1200.0 996.8 : 203.2 415.6 577.7 704.4 907.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 126.7326 .. 292.2086 cents 165.47608 cents 126.73255 cents 2: 288.8982 .. 495.5506 cents 206.65236 cents -3.31041 cents 3: 492.2402 .. 707.7598 cents 215.51966 cents -3.31041 cents 4: 704.4494 .. 911.1018 cents 206.65236 cents -3.31041 cents 5: 907.7914 .. 1073.2674 cents 165.47608 cents -3.31041 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 126.73255 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 292.20863 cents Average / Smallest step : 1.578126 Largest / Average step : 1.461043 Largest / Smallest step : 2.305711 Median interval of one step : 203.25230 cents, amount: 0 Least squares average step : 191.95669 cents, oct.: 1151.74014 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : EBADFC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.13112 cents Scale diversity : 1.575444 Lumma stability : 0.211221 Lumma impropriety factor : 0.011035 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 : 0.17930 cents Number of recognisable fifths : 4, average 703.8878 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 57.2290 c. M:-98.7132 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 1 1 2 1 P M ME SD: 26.5085 c. M: 40.9600 c. 10: 2 1 1 2 2 2 P D3 S SD: 22.4374 c. M: 36.8373 c. 12: 2 2 1 2 3 2 P T3 SD: 11.7902 c. M:-25.4458 c. Raga Siva Kambhoji, Vivardhini, Andhali 17: 3 2 2 3 4 3 P SD: 9.9539 c. M: 21.6130 c. 22: 4 3 2 4 5 4 P SD: 8.5587 c. M: 15.0192 c. 29: 5 4 3 5 7 5 P SD: 3.4761 c. M: 5.4920 c. 77: 14 10 8 13 19 13 N SD: 2.9421 c. M:-5.7933 c. 83: 15 11 9 14 20 14 P SD: 3.1456 c. M:-4.7373 c. 84: 15 11 9 14 21 14 N SD: 2.7824 c. M: 4.6287 c. 89: 16 12 9 15 22 15 N SD: 2.5477 c. M: 3.5051 c. 95: 17 13 10 16 23 16 P SD: 2.8650 c. M:-4.3932 c. 96: 17 13 10 16 24 16 N SD: 2.3556 c. M: 4.6287 c. 106: 19 14 11 18 26 18 N SD: 2.0906 c. M: 3.1736 c. 112: 20 15 12 19 27 19 P SD: 1.6076 c. M:-2.5141 c. 119: 21 16 13 20 29 20 P SD: 1.5675 c. M:-2.9149 c. 124: 22 17 13 21 30 21 P SD: 1.6104 c. M:-2.8651 c. 129: 23 17 14 22 31 22 P SD: 1.6988 c. M: 2.4612 c. 131: 23 18 14 22 32 22 P SD: 1.5011 c. M:-2.5300 c. 141: 25 19 15 24 34 24 P SD: 0.9245 c. M:-1.7543 c. 148: 26 20 16 25 36 25 P SD: 1.1409 c. M: 1.5812 c. 153: 27 21 16 26 37 26 P SD: 1.0538 c. M:-1.9164 c. 170: 30 23 18 29 41 29 P SD: 0.8704 c. M: 1.5432 c. 182: 32 25 19 31 44 31 P SD: 0.9897 c. M: 1.3995 c. 208: 37 28 22 35 51 35 N SD: 0.8066 c. M:-1.2396 c. 225: 40 30 24 38 55 38 N SD: 0.7102 c. M: 1.2209 c. 237: 42 32 25 40 58 40 N SD: 0.4433 c. M: 0.8312 c. 266: 47 36 28 45 65 45 N SD: 0.4488 c. M: 0.8693 c. 349: 62 47 37 59 85 59 N SD: 0.4734 c. M:-0.7920 c. 366: 65 49 39 62 89 62 N SD: 0.4766 c. M: 0.7837 c. 378: 67 51 40 64 92 64 N SD: 0.1856 c. M:-0.3099 c. 407: 72 55 43 69 99 69 N SD: 0.1316 c. M: 0.2772 c. 644: 114 87 68 109 157 109 N SD: 0.1195 c. M: 0.2809 c. 785: 139 106 83 133 191 133 N SD: 0.0938 c. M: 0.1494 c. 1022: 181 138 108 173 249 173 N SD: 0.0844 c. M:-0.1359 c. 1051: 186 142 111 178 256 178 N SD: 0.0770 c. M: 0.1568 c. 1429: 253 193 151 242 348 242 N SD: 0.0528 c. M: 0.0801 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 1.3369 cents 3 x x 4 x 5:6 S SD: 37.5084 cents 4 x 5 x 6:7:8 S SD: 7.6243 cents 5 x 6:7:8:9:10 S SD: 29.9284 cents 6:7 x 8:9:11:12 SD: 15.1591 cents 7:8:9 x 11:12:14 SD: 23.7808 cents 8:9:10:11:12:14:16 S SD: 9.8673 cents 14:16:17:19:21:25:28 SD: 8.5566 cents 16:18:20:21:24:28:32 S SD: 7.3268 cents 18:20:22:24:27:32:36 SD: 6.7787 cents 21:24:26:28:32:37:42 SD: 5.9068 cents 22:25:27:29:33:39:44 SD: 5.3992 cents 24:27:30:32:36:43:48 SD: 3.2904 cents 30:34:37:40:45:53:60 SD: 2.8987 cents 38:43:47:51:57:68:76 SD: 2.5334 cents 45:51:56:60:68:80:90 SD: 2.0276 cents 53:60:66:71:80:94:106 SD: 2.0220 cents 54:61:67:72:81:96:108 SD: 0.7697 cents 107:121:133:143:161:190:214 SD: 0.7454 cents 116:131:144:155:174:206:232 SD: 0.7016 cents 137:155:170:183:206:244:274 SD: 0.5468 cents 145:164:180:194:218:258:290 SD: 0.5348 cents 161:182:200:215:242:286:322 SD: 0.4240 cents 191:216:237:255:287:340:382 SD: 0.3592 cents 199:225:247:266:299:354:398 SD: 0.2131 cents 253:286:314:338:380:450:506 SD: 0.1267 cents 551:623:684:736:828:980:1102 SD: 0.0956 cents