Scala analysis: CD01_08_Egypt
Il a circulé avec les coupes - Darwîsh Muhammad al-Harîrî (hijaz, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 201.612 cents 201.611585 2: 354.840 cents 354.840089 3: 499.862 cents 499.862257 4: 695.327 cents 695.327283 5: 889.737 cents 889.737439 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 310.2626 cents 310.2626 1: 201.6116 cents 201.6116 2: 153.2285 cents 153.2285 3: 145.0222 cents 145.0222 4: 195.4650 cents 195.4650 5: 194.4102 cents 194.4102 6: 310.2626 cents 310.2626
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 145.02217 cents 1: 1 153.22850 cents 1: 1 194.41016 cents 1: 1 195.46503 cents 1: 1 201.61158 cents 1: 1 310.26256 cents 2: 1 298.25067 cents 2: 1 340.48719 cents 2: 1 354.84009 cents 2: 1 389.87518 cents 2: 1 504.67272 cents 2: 1 511.87415 cents 3: 1 493.71570 cents 3: 1 499.86226 cents 3: 1 534.89735 cents 3: 1 665.10265 cents 3: 1 700.13774 cents 3: 1 706.28430 cents 4: 1 688.12585 cents 4: 1 695.32728 cents 4: 1 810.12482 cents 4: 1 845.15991 cents 4: 1 859.51281 cents 4: 1 901.74933 cents 5: 1 889.73744 cents 5: 1 998.38842 cents 5: 1 1004.53497 cents 5: 1 1005.58984 cents 5: 1 1046.77150 cents 5: 1 1054.97783 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 : 201.6 354.8 499.9 695.3 889.7 1200.0 201.6 : 153.2 298.3 493.7 688.1 998.4 1200.0 354.8 : 145.0 340.5 534.9 845.2 1046.8 1200.0 499.9 : 195.5 389.9 700.1 901.7 1055.0 1200.0 695.3 : 194.4 504.7 706.3 859.5 1004.5 1200.0 889.7 : 310.3 511.9 665.1 810.1 1005.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 145.0222 .. 310.2626 cents 165.24039 cents 145.02217 cents 2: 298.2507 .. 511.8741 cents 213.62347 cents -12.01189 cents 3: 493.7157 .. 706.2843 cents 212.56860 cents -18.15845 cents 4: 688.1259 .. 901.7493 cents 213.62347 cents -18.15845 cents 5: 889.7374 .. 1054.9778 cents 165.24039 cents -12.01189 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 145.02217 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 310.26256 cents Average / Smallest step : 1.379100 Largest / Average step : 1.551313 Largest / Smallest step : 2.139415 Median interval of one step : 194.93759 cents, amount: 0 Least squares average step : 185.06456 cents, oct.: 1110.38735 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : EBADCF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.81046 cents Scale diversity : 1.439832 Lumma stability : 0.241704 Lumma impropriety factor : 0.050284 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 : 1.05487 cents Number of recognisable fifths : 4, average 697.4688 cents Number of appreciable fifths : 3, average 700.5831 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 0 1 1 2 N D3 SD: 69.7072 c. M: 99.8623 c. 7: 1 1 1 1 1 2 P M ME SD: 20.0726 c. M: 32.5946 c. 12: 2 2 1 2 2 3 P G D3 SD: 19.0140 c. M:-45.1599 c. Arezzo Major Diatonic Hexachord, Guidonian Hexachord, Scottish Hexatonic, Raga Kambhoji, Devarangini, Hem Kalyan, Sama (Syama) 16: 3 2 2 2 3 4 N SD: 18.7255 c. M:-25.1377 c. 17: 3 2 2 3 3 4 P SD: 13.1025 c. M:-27.9096 c. 19: 3 3 2 3 3 5 P G D3 SD: 11.4641 c. M:-24.1073 c. 23: 4 3 3 3 4 6 N SD: 12.4864 c. M:-21.8769 c. 24: 4 3 3 4 4 6 P SD: 5.0530 c. M:-10.2626 c. 31: 5 4 4 5 5 8 P SD: 4.4797 c. M: 8.0632 c. 43: 7 6 5 7 7 11 P SD: 4.5608 c. M:-7.9506 c. 53: 9 7 6 9 8 14 N SD: 5.0169 c. M:-7.4241 c. 55: 9 7 7 9 9 14 P SD: 3.9934 c. M: 5.7492 c. 65: 11 8 8 11 10 17 N SD: 3.4666 c. M:-6.2112 c. 74: 12 10 9 12 12 19 P SD: 3.4035 c. M: 7.0170 c. 77: 13 10 9 13 12 20 N SD: 2.9716 c. M:-5.9714 c. 81: 14 10 10 13 13 21 N SD: 2.9017 c. M:-5.7958 c. 84: 14 11 10 14 13 22 N SD: 2.7670 c. M:-4.6727 c. 85: 14 11 10 14 14 22 N SD: 3.2945 c. M: 5.7446 c. 88: 15 11 11 14 14 23 N SD: 2.6466 c. M:-4.6832 c. 101: 17 13 12 17 16 26 N SD: 2.4934 c. M:-5.6628 c. 105: 18 13 13 17 17 27 N SD: 2.3189 c. M:-4.1027 c. 108: 18 14 13 18 17 28 N SD: 2.0689 c. M:-4.6727 c. 111: 19 14 13 18 18 29 N SD: 2.7993 c. M:-3.7938 c. 112: 19 14 14 18 18 29 N SD: 1.8541 c. M:-3.7092 c. 124: 21 16 15 20 20 32 N SD: 2.1116 c. M:-3.3635 c. 129: 22 16 16 21 21 33 N SD: 2.3608 c. M:-3.2858 c. 131: 22 17 16 21 21 34 N SD: 1.9835 c. M:-3.9545 c. 132: 22 17 16 21 22 34 N SD: 1.9831 c. M: 4.4182 c. 135: 23 17 16 22 22 35 N SD: 1.7116 c. M:-2.8329 c. 142: 24 18 17 23 23 37 N SD: 1.5554 c. M: 2.4135 c. 159: 27 20 19 26 26 41 N SD: 1.2524 c. M:-2.1620 c. 166: 28 21 20 27 27 43 N SD: 0.8493 c. M: 1.3514 c. 190: 32 24 23 31 31 49 N SD: 0.7514 c. M: 1.1559 c. 197: 33 25 24 32 32 51 N SD: 0.8014 c. M: 1.5406 c. 209: 35 27 25 34 34 54 N SD: 0.6111 c. M:-1.1408 c. 243: 41 31 29 40 39 63 N SD: 0.8276 c. M: 1.0968 c. 250: 42 32 30 41 40 65 N SD: 0.8205 c. M: 1.7374 c. 267: 45 34 32 44 43 69 N SD: 0.7234 c. M:-1.3019 c. 274: 46 35 33 45 44 71 N SD: 0.5628 c. M:-1.0231 c. 314: 53 40 38 51 51 81 N SD: 0.6263 c. M:-0.9362 c. 321: 54 41 39 52 52 83 N SD: 0.4667 c. M:-1.0723 c. 375: 63 48 45 61 61 97 N SD: 0.4911 c. M: 0.9273 c. 399: 67 51 48 65 65 103 N SD: 0.4037 c. M: 0.6141 c. 406: 68 52 49 66 66 105 N SD: 0.4296 c. M: 0.7460 c. 464: 78 59 56 76 75 120 N SD: 0.3992 c. M: 0.7243 c. 483: 81 62 58 79 78 125 N SD: 0.3551 c. M: 0.4834 c. 487: 82 62 59 79 79 126 N SD: 0.3081 c. M: 0.4608 c. 511: 86 65 62 83 83 132 N SD: 0.2635 c. M:-0.3454 c. 673: 113 86 81 110 109 174 N SD: 0.2539 c. M: 0.6052 c. 680: 114 87 82 111 110 176 N SD: 0.2937 c. M: 0.4505 c. 696: 117 89 84 113 113 180 N SD: 0.2577 c. M: 0.4997 c. 720: 121 92 87 117 117 186 N SD: 0.1931 c. M: 0.3273 c. 751: 126 96 91 122 122 194 N SD: 0.2255 c. M: 0.2800 c. 761: 128 97 92 124 123 197 N SD: 0.1848 c. M: 0.3813 c. 785: 132 100 95 128 127 203 N SD: 0.1384 c. M:-0.2141 c. 994: 167 127 120 162 161 257 N SD: 0.0484 c. M:-0.0895 c. 2185: 367 279 264 356 354 565 N SD: 0.0542 c. M: 0.0911 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 3.3139 cents 3 x x 4 x 5:6 S SD: 1.8925 cents 4 x 5 x 6:7:8 S SD: 21.3446 cents 5 x 6:7 x 8:10 S SD: 29.7398 cents 6:7 x 8:9:10:12 S SD: 13.1681 cents 7:8 x 9:10:12:14 S SD: 22.8140 cents 8:9:10:11:12:13:16 SD: 13.0268 cents 9:10:11:12:13:15:18 SD: 10.4126 cents 14:16:17:19:21:23:28 SD: 9.1534 cents 15:17:18:20:22:25:30 SD: 8.8787 cents 16:18:20:21:24:27:32 SD: 7.7201 cents 18:20:22:24:27:30:36 S SD: 3.7280 cents 30:34:37:40:45:50:60 SD: 3.2113 cents 39:44:48:52:58:65:78 SD: 2.1963 cents 48:54:59:64:72:80:96 SD: 1.5554 cents 57:64:70:76:85:95:114 SD: 1.1368 cents 83:93:102:111:124:139:166 SD: 1.1323 cents 89:100:109:119:133:149:178 SD: 0.9153 cents 105:118:129:140:157:176:210 SD: 0.8703 cents 113:127:139:151:169:189:226 SD: 0.7588 cents 122:137:150:163:182:204:244 SD: 0.7479 cents 128:144:157:171:191:214:256 SD: 0.6502 cents 137:154:168:183:205:229:274 SD: 0.5626 cents 146:164:179:195:218:244:292 SD: 0.4631 cents 162:182:199:216:242:271:324 SD: 0.4175 cents 194:218:238:259:290:324:388 SD: 0.3694 cents 251:282:308:335:375:420:502 SD: 0.2716 cents 259:291:318:346:387:433:518 SD: 0.2650 cents 299:336:367:399:447:500:598 SD: 0.1768 cents 356:400:437:475:532:595:712 SD: 0.1370 cents 445:500:546:594:665:744:890 SD: 0.1271 cents 558:627:685:745:834:933:1116 SD: 0.1232 cents 567:637:696:757:847:948:1134 SD: 0.1183 cents