Scala analysis: CD02_17_Egypt
Gloire à celui qui a créé ta beauté - Darwîsh Muhammad al-Harîrî (iraq, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 153.364 cents 153.364437 2: 305.642 cents 305.641617 3: 489.104 cents 489.103867 4: 717.008 cents 717.008018 5: 848.372 cents 848.371855 6: 991.463 cents 991.463169 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 208.5368 cents 208.5368 1: 153.3644 cents 153.3644 2: 152.2772 cents 152.2772 3: 183.4622 cents 183.4622 4: 227.9042 cents 227.9042 5: 131.3638 cents 131.3638 6: 143.0913 cents 143.0913 7: 208.5368 cents 208.5368
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 131.36384 cents 1: 1 143.09131 cents 1: 1 152.27718 cents 1: 1 153.36444 cents 1: 1 183.46225 cents 1: 1 208.53683 cents 1: 1 227.90415 cents 2: 1 274.45515 cents 2: 1 305.64162 cents 2: 1 335.73943 cents 2: 1 351.62815 cents 2: 1 359.26799 cents 2: 1 361.90127 cents 2: 1 411.36640 cents 3: 1 482.99198 cents 3: 1 489.10387 cents 3: 1 502.35930 cents 3: 1 504.99258 cents 3: 1 514.17845 cents 3: 1 542.73024 cents 3: 1 563.64358 cents 4: 1 636.35642 cents 4: 1 657.26976 cents 4: 1 685.82155 cents 4: 1 695.00742 cents 4: 1 697.64070 cents 4: 1 710.89613 cents 4: 1 717.00802 cents 5: 1 788.63360 cents 5: 1 838.09873 cents 5: 1 840.73201 cents 5: 1 848.37185 cents 5: 1 864.26057 cents 5: 1 894.35838 cents 5: 1 925.54485 cents 6: 1 972.09585 cents 6: 1 991.46317 cents 6: 1 1016.53775 cents 6: 1 1046.63556 cents 6: 1 1047.72282 cents 6: 1 1056.90869 cents 6: 1 1068.63616 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 : 153.4 305.6 489.1 717.0 848.4 991.5 1200.0 153.4 : 152.3 335.7 563.6 695.0 838.1 1046.6 1200.0 305.6 : 183.5 411.4 542.7 685.8 894.4 1047.7 1200.0 489.1 : 227.9 359.3 502.4 710.9 864.3 1016.5 1200.0 717.0 : 131.4 274.5 483.0 636.4 788.6 972.1 1200.0 848.4 : 143.1 351.6 505.0 657.3 840.7 1068.6 1200.0 991.5 : 208.5 361.9 514.2 697.6 925.5 1056.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 131.3638 .. 227.9042 cents 96.54031 cents 131.36384 cents 2: 274.4552 .. 411.3664 cents 136.91125 cents 46.55100 cents 3: 482.9920 .. 563.6436 cents 80.65160 cents 71.62558 cents 4: 636.3564 .. 717.0080 cents 80.65160 cents 72.71284 cents 5: 788.6336 .. 925.5448 cents 136.91125 cents 71.62558 cents 6: 972.0958 .. 1068.6362 cents 96.54031 cents 46.55100 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 131.36384 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 227.90415 cents Average / Smallest step : 1.304991 Largest / Average step : 1.329441 Largest / Smallest step : 1.734908 Median interval of one step : 153.36444 cents, amount: 1 Least squares average step : 169.21878 cents, oct.: 1184.53148 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DCEGABF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 46.55100 cents Scale diversity : 1.546255 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.476495 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 : 1.08726 cents Number of recognisable fifths : 5, average 701.2748 cents Number of appreciable fifths : 3, average 701.1814 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 26.1279 c. M:-37.2155 c. Lebeng 13: 2 1 2 3 1 2 2 P D3 SD: 23.6147 c. M:-31.2509 c. 15: 2 2 2 3 2 1 3 P D3 SD: 18.2534 c. M:-31.6281 c. 17: 2 2 3 3 2 2 3 SP D3 S SD: 11.0322 c. M: 23.2887 c. 23: 3 3 3 5 2 3 4 P SD: 10.7669 c. M: 19.5386 c. 24: 3 3 4 4 3 3 4 SP D3 S SD: 8.6741 c. M: 17.0080 c. Maqam Hussaini, Ushaq, Neutral Diatonic Dorian 27: 3 4 4 5 3 3 5 SP SD: 9.7738 c. M: 20.0311 c. 30: 4 4 4 6 3 4 5 SP SD: 8.3237 c. M:-14.3584 c. 34: 4 5 5 6 4 4 6 SP SD: 8.0511 c. M: 12.1880 c. 35: 4 5 5 7 4 4 6 SP SD: 8.0040 c. M: 16.2216 c. 39: 5 5 6 7 5 4 7 SP SD: 6.7795 c. M:-13.1666 c. 40: 5 5 6 8 4 5 7 SP SD: 5.4407 c. M: 9.1039 c. 47: 6 6 7 9 5 6 8 SP SD: 3.2342 c. M: 5.8187 c. 62: 8 8 9 12 7 7 11 SP SD: 3.2991 c. M: 5.2329 c. 64: 8 8 10 12 7 8 11 SP SD: 3.6378 c. M: 5.6416 c. 79: 10 10 12 15 9 9 14 SP SD: 2.5726 c. M: 4.1214 c. 86: 11 11 13 16 10 10 15 SP SD: 2.3801 c. M: 5.3801 c. 102: 13 13 16 19 11 12 18 SP SD: 2.3277 c. M:-5.0138 c. 109: 14 14 16 21 12 13 19 SP SD: 2.1500 c. M: 4.7002 c. 110: 14 14 17 21 12 13 19 SP SD: 1.7191 c. M:-2.9920 c. 126: 16 16 19 24 14 15 22 SP SD: 1.7801 c. M: 3.3896 c. 149: 19 19 23 28 16 18 26 SP SD: 1.3763 c. M: 2.7343 c. 154: 20 19 24 29 17 18 27 SP SD: 1.5520 c. M:-2.4797 c. 157: 20 20 24 30 17 19 27 SP SD: 1.0072 c. M:-2.1674 c. 197: 25 25 30 38 21 24 34 SP SD: 1.3899 c. M: 1.7942 c. 201: 26 25 31 38 22 24 35 SP SD: 0.9188 c. M:-1.8594 c. 219: 28 28 33 42 24 26 38 SP SD: 0.8574 c. M: 1.4326 c. 228: 29 29 35 43 25 27 40 SP SD: 1.0189 c. M: 1.9895 c. 236: 30 30 36 45 26 28 41 SP SD: 0.6024 c. M: 0.9683 c. 321: 41 41 49 61 35 38 56 SP SD: 0.5935 c. M:-0.9004 c. 338: 43 43 52 64 37 40 59 SP SD: 0.5611 c. M: 0.9306 c. 358: 46 45 55 68 39 43 62 SP SD: 0.5145 c. M:-0.8255 c. 368: 47 47 56 70 40 44 64 SP SD: 0.4236 c. M:-0.8801 c. 385: 49 49 59 73 42 46 67 SP SD: 0.3665 c. M: 0.6372 c. 542: 69 69 83 103 59 65 94 SP SD: 0.3494 c. M: 0.5969 c. 557: 71 71 85 106 61 66 97 SP SD: 0.3415 c. M:-0.4612 c. 569: 73 72 87 108 62 68 99 SP SD: 0.3363 c. M:-0.5899 c. 594: 76 75 91 113 65 71 103 SP SD: 0.3099 c. M: 0.5911 c. 604: 77 77 92 115 66 72 105 SP SD: 0.2480 c. M: 0.3843 c. 758: 97 96 116 144 83 90 132 SP SD: 0.2054 c. M: 0.4341 c. 765: 98 97 117 145 84 91 133 SP SD: 0.2323 c. M:-0.3611 c. 805: 103 102 123 153 88 96 140 SP SD: 0.1279 c. M:-0.1759 c. 1300: 166 165 199 247 142 155 226 SP SD: 0.1222 c. M:-0.2228 c. 1307: 167 166 200 248 143 156 227 SP SD: 0.1175 c. M:-0.2611 c. 1386: 177 176 212 263 152 165 241 SP SD: 0.0945 c. M: 0.1249 c. 1433: 183 182 219 272 157 171 249 SP SD: 0.0936 c. M: 0.1902 c. 1543: 197 196 236 293 169 184 268 SP SD: 0.0884 c. M: 0.1564 c. 1727: 221 219 264 328 189 206 300 SP SD: 0.0965 c. M:-0.1967 c. 1744: 223 221 267 331 191 208 303 SP SD: 0.0778 c. M: 0.1370 c. 1963: 251 249 300 373 215 234 341 SP SD: 0.0701 c. M:-0.1253 c. 2112: 270 268 323 401 231 252 367 SP SD: 0.0550 c. M:-0.1007 c. 2191: 280 278 335 416 240 261 381 SP SD: 0.0597 c. M: 0.1350 c. 2348: 300 298 359 446 257 280 408 SP SD: 0.0223 c. M: 0.0425 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: 7.5265 cents 3 x x 4 x 5 x 6 S SD: 12.3603 cents 4 x 5 x 6 x 7:8 S SD: 21.2824 cents 5 x 6:7 x 8:9:10 S SD: 20.6989 cents 6 x 7:8:9:10:11:12 S SD: 13.3927 cents 7 x 8:9:11 x 12:14 SD: 25.4201 cents 8:9:10:11:12:13:14:16 S SD: 16.7417 cents 9:10:11:12:14:15:16:18 S SD: 11.3203 cents 10:11:12:13:15:16:18:20 SD: 8.5301 cents 16:17:19:21:24:26:28:32 SD: 8.5067 cents 18:20:21:24:27:29:32:36 SD: 8.0684 cents 19:21:23:25:29:31:34:38 SD: 5.8998 cents 21:23:25:28:32:34:37:42 SD: 3.4431 cents 31:34:37:41:47:51:55:62 SD: 2.3247 cents 43:47:51:57:65:70:76:86 SD: 1.8186 cents 52:57:62:69:79:85:92:104 SD: 1.4370 cents 62:68:74:82:94:101:110:124 SD: 1.3931 cents 74:81:88:98:112:121:131:148 SD: 1.1576 cents 76:83:91:101:115:124:135:152 SD: 1.1119 cents 88:96:105:117:133:144:156:176 SD: 0.9629 cents 98:107:117:130:148:160:174:196 SD: 0.6359 cents 119:130:142:158:180:194:211:238 SD: 0.4120 cents 150:164:179:199:227:245:266:300 SD: 0.2312 cents 269:294:321:357:407:439:477:538 SD: 0.1658 cents 419:458:500:556:634:684:743:838 SD: 0.1506 cents 487:532:581:646:737:795:863:974 SD: 0.1500 cents 497:543:593:659:752:811:881:994 SD: 0.1434 cents 560:612:668:743:847:914:993:1120 SD: 0.1417 cents 585:639:698:776:885:955:1037:1170 SD: 0.1035 cents