Scala analysis: CD02_06_Egypt
Gloire à celui qui a créé ta beauté / Mon amour m'a rendu visite / Couronnez ô nuages - Darwîsh Muhammad al-Harîrî (jaharkah, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 151.759 cents 151.758701 2: 344.824 cents 344.823913 3: 531.600 cents 531.599913 4: 674.431 cents 674.431355 5: 843.577 cents 843.576921 6: 1042.028 cents 1042.027739 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 157.9723 cents 157.9723 1: 151.7587 cents 151.7587 2: 193.0652 cents 193.0652 3: 186.7760 cents 186.7760 4: 142.8314 cents 142.8314 5: 169.1456 cents 169.1456 6: 198.4508 cents 198.4508 7: 157.9723 cents 157.9723
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 142.83144 cents 1: 1 151.75870 cents 1: 1 157.97226 cents 1: 1 169.14557 cents 1: 1 186.77600 cents 1: 1 193.06521 cents 1: 1 198.45082 cents 2: 1 309.73096 cents 2: 1 311.97701 cents 2: 1 329.60744 cents 2: 1 344.82391 cents 2: 1 356.42308 cents 2: 1 367.59638 cents 2: 1 379.84121 cents 3: 1 498.75301 cents 3: 1 502.79617 cents 3: 1 508.18178 cents 3: 1 510.42783 cents 3: 1 522.67265 cents 3: 1 525.56864 cents 3: 1 531.59991 cents 4: 1 668.40009 cents 4: 1 674.43136 cents 4: 1 677.32735 cents 4: 1 689.57217 cents 4: 1 691.81822 cents 4: 1 697.20383 cents 4: 1 701.24699 cents 5: 1 820.15879 cents 5: 1 832.40362 cents 5: 1 843.57692 cents 5: 1 855.17609 cents 5: 1 870.39256 cents 5: 1 888.02299 cents 5: 1 890.26904 cents 6: 1 1001.54918 cents 6: 1 1006.93479 cents 6: 1 1013.22400 cents 6: 1 1030.85443 cents 6: 1 1042.02774 cents 6: 1 1048.24130 cents 6: 1 1057.16856 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 : 151.8 344.8 531.6 674.4 843.6 1042.0 1200.0 151.8 : 193.1 379.8 522.7 691.8 890.3 1048.2 1200.0 344.8 : 186.8 329.6 498.8 697.2 855.2 1006.9 1200.0 531.6 : 142.8 312.0 510.4 668.4 820.2 1013.2 1200.0 674.4 : 169.1 367.6 525.6 677.3 870.4 1057.2 1200.0 843.6 : 198.5 356.4 508.2 701.2 888.0 1030.9 1200.0 1042.0: 158.0 309.7 502.8 689.6 832.4 1001.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 142.8314 .. 198.4508 cents 55.61938 cents 142.83144 cents 2: 309.7310 .. 379.8412 cents 70.11025 cents 111.28014 cents 3: 498.7530 .. 531.5999 cents 32.84691 cents 118.91180 cents 4: 668.4001 .. 701.2470 cents 32.84691 cents 136.80017 cents 5: 820.1588 .. 890.2690 cents 70.11025 cents 118.91180 cents 6: 1001.5492 .. 1057.1686 cents 55.61938 cents 111.28014 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 142.83144 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 198.45082 cents Average / Smallest step : 1.200216 Largest / Average step : 1.157630 Largest / Smallest step : 1.389406 Median interval of one step : 169.14557 cents, amount: 1 Least squares average step : 171.45702 cents, oct.: 1200.19914 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : BFEADGC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 111.28014 cents Scale diversity : 1.293476 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.735706 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 : 2.24605 cents Number of recognisable fifths : 4, average 694.9603 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited transpositions with margin 46.6921 cents: 4 Limited inverse transpositions with margin 46.6921 cents: 4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 12.9998 c. M:-19.6699 c. Lebeng 23: 3 4 3 3 3 4 3 SP M ME I SD: 9.4863 c. M:-20.3935 c. Armodue-7, Antidorian 30: 4 5 4 4 4 5 4 SP M ME I SD: 8.2869 c. M:-15.1761 c. 31: 4 5 5 3 5 5 4 SP D3 I SD: 8.2052 c. M: 16.3668 c. 32: 4 5 5 4 4 6 4 SP D3 S SD: 8.5296 c. M: 18.5769 c. 34: 4 6 5 4 5 6 4 SP I SD: 8.3807 c. M:-16.7958 c. 37: 5 6 5 5 5 6 5 SP M ME I SD: 8.2229 c. M: 12.6810 c. 38: 5 6 6 4 6 6 5 SP D3 I SD: 6.3323 c. M: 11.2735 c. 39: 5 6 6 5 5 7 5 SP D3 S SD: 6.5981 c. M: 12.8077 c. 41: 5 7 6 5 6 7 5 SP I SD: 6.0587 c. M:-11.6308 c. 45: 6 7 7 5 7 7 6 SP D3 I SD: 5.7806 c. M:-9.7564 c. 48: 6 8 7 6 7 8 6 SP I SD: 5.0509 c. M:-7.9723 c. 55: 7 9 8 7 8 9 7 SP I SD: 4.8927 c. M: 7.9635 c. 61: 8 10 9 7 9 10 8 SP I SD: 4.7006 c. M:-9.2744 c. 62: 8 10 10 7 9 10 8 SP SD: 5.5075 c. M:-10.3356 c. 63: 8 10 10 7 9 11 8 SP SD: 4.2906 c. M: 7.7647 c. 66: 8 11 10 8 9 11 9 SP SD: 4.5651 c. M: 7.2133 c. 69: 9 11 11 8 10 11 9 SP SD: 5.0580 c. M:-8.5970 c. 70: 9 11 11 8 10 12 9 SP SD: 3.1849 c. M: 5.8599 c. 77: 10 12 12 9 11 13 10 SP SD: 2.6901 c. M: 4.3015 c. 94: 12 15 15 11 13 16 12 SP SD: 2.7137 c. M:-4.7808 c. 100: 13 16 15 12 14 17 13 SP SD: 3.0150 c. M:-4.2413 c. 101: 13 16 16 12 14 17 13 SP SD: 2.2946 c. M:-3.5168 c. 108: 14 17 17 13 15 18 14 SP SD: 2.2474 c. M:-3.7969 c. 119: 15 19 19 14 17 19 16 SP SD: 2.3051 c. M:-3.4819 c. 121: 15 20 19 14 17 20 16 SP SD: 2.0897 c. M:-3.9373 c. 128: 16 21 20 15 18 21 17 SP SD: 1.5731 c. M:-2.7751 c. 135: 17 22 21 16 19 22 18 SP SD: 1.3600 c. M: 2.0277 c. 167: 21 27 26 20 23 28 22 SP SD: 1.1943 c. M: 2.8584 c. 174: 22 28 27 21 24 29 23 SP SD: 1.0432 c. M: 2.1976 c. 181: 23 29 28 22 25 30 24 SP SD: 1.1413 c. M:-1.8117 c. 192: 24 31 30 23 27 32 25 SP SD: 1.0480 c. M: 1.7587 c. 198: 25 32 31 23 28 33 26 SP SD: 1.0591 c. M:-1.7334 c. 199: 25 32 31 24 28 33 26 SP SD: 0.9141 c. M:-1.1883 c. 205: 26 33 32 24 29 34 27 SP SD: 0.7245 c. M: 1.2606 c. 212: 27 34 33 25 30 35 28 SP SD: 0.6098 c. M:-1.0715 c. 334: 42 54 52 40 47 55 44 SP SD: 0.5799 c. M:-1.0177 c. 356: 45 57 56 42 50 59 47 SP SD: 0.6588 c. M: 1.0037 c. 363: 46 58 57 43 51 60 48 SP SD: 0.5856 c. M: 1.0223 c. 366: 46 59 57 44 51 61 48 SP SD: 0.7195 c. M:-0.9785 c. 370: 47 59 58 44 52 61 49 SP SD: 0.6159 c. M: 1.0401 c. 379: 48 61 59 45 53 63 50 SP SD: 0.5617 c. M: 1.3606 c. 386: 49 62 60 46 54 64 51 SP SD: 0.5272 c. M: 1.0899 c. 393: 50 63 61 47 55 65 52 SP SD: 0.5917 c. M:-0.9131 c. 397: 50 64 62 47 56 66 52 SP SD: 0.4527 c. M:-0.7934 c. 404: 51 65 63 48 57 67 53 SP SD: 0.2628 c. M:-0.5465 c. 411: 52 66 64 49 58 68 54 SP SD: 0.2007 c. M:-0.3080 c. 623: 79 100 97 74 88 103 82 SP SD: 0.1895 c. M:-0.4082 c. 950: 120 153 148 113 134 157 125 SP SD: 0.1356 c. M:-0.2126 c. 957: 121 154 149 114 135 158 126 SP SD: 0.1378 c. M:-0.3102 c. 1162: 147 187 181 138 164 192 153 SP SD: 0.1178 c. M:-0.2417 c. 1336: 169 215 208 159 188 221 176 SP SD: 0.1076 c. M: 0.1637 c. 1535: 194 247 239 183 216 254 202 SP SD: 0.1016 c. M:-0.2266 c. 1573: 199 253 245 187 222 260 207 SP SD: 0.0844 c. M:-0.1612 c. 1612: 204 259 251 192 227 267 212 SP SD: 0.1139 c. M: 0.1589 c. 1740: 220 280 271 207 245 288 229 SP SD: 0.0732 c. M: 0.1286 c. 1747: 221 281 272 208 246 289 230 SP SD: 0.0532 c. M:-0.0964 c. 2151: 272 346 335 256 303 356 283 SP SD: 0.0550 c. M:-0.0922 c. 2158: 273 347 336 257 304 357 284 SP SD: 0.0469 c. M:-0.0821 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: 13.7618 cents 3 x x 4 x 5 x 6 S SD: 17.6039 cents 4 x 5 x 6 x 7:8 S SD: 22.1324 cents 5 x 6:7 x 8:9:10 S SD: 14.0485 cents 6 x 7:8:9:10:11:12 S SD: 16.3954 cents 7:8:9 x 10:11:13:14 SD: 24.8932 cents 8:9:10:11:12:13:15:16 SD: 12.5642 cents 9:10:11:12:13:15:16:18 SD: 12.1848 cents 10:11:12:14:15:16:18:20 S SD: 10.9424 cents 11:12:13:15:16:18:20:22 SD: 8.9404 cents 13:14:16:18:19:21:24:26 SD: 7.3308 cents 19:21:23:26:28:31:35:38 SD: 4.6496 cents 22:24:27:30:32:36:40:44 S SD: 4.3288 cents 23:25:28:31:34:37:42:46 SD: 3.8309 cents 31:34:38:42:46:50:57:62 SD: 3.6321 cents 33:36:40:45:49:54:60:66 SD: 2.8514 cents 40:44:49:54:59:65:73:80 SD: 2.7669 cents 42:46:51:57:62:68:77:84 SD: 2.3000 cents 44:48:54:60:65:72:80:88 SD: 2.2872 cents 45:49:55:61:66:73:82:90 SD: 2.1461 cents 53:58:65:72:78:86:97:106 SD: 1.8748 cents 56:61:68:76:83:91:102:112 SD: 1.8556 cents 59:64:72:80:87:96:108:118 SD: 1.8408 cents 63:69:77:86:93:103:115:126 SD: 1.7337 cents 64:70:78:87:94:104:117:128 SD: 1.5097 cents 67:73:82:91:99:109:122:134 SD: 1.1122 cents 78:85:95:106:115:127:142:156 SD: 1.0101 cents 86:94:105:117:127:140:157:172 SD: 0.3915 cents 218:238:266:296:322:355:398:436 SD: 0.3366 cents 231:252:282:314:341:376:422:462 SD: 0.2496 cents 304:332:371:413:449:495:555:608 SD: 0.2306 cents 317:346:387:431:468:516:579:634 SD: 0.1584 cents 395:431:482:537:583:643:721:790 SD: 0.1353 cents 481:525:587:654:710:783:878:962 SD: 0.0745 cents