Scala analysis: CD10_04_Egypt
Début de la messe : o Namo Tâyo Namo - Mîkhâ'îl Jirjis al-Batânûnî (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 297.658 cents 297.657754 2: 608.680 cents 608.680331 3: 820.298 cents 820.298265 4: 1102.352 cents 1102.351893 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 97.6481 cents 97.6481 1: 297.6578 cents 297.6578 2: 311.0226 cents 311.0226 3: 211.6179 cents 211.6179 4: 282.0536 cents 282.0536 5: 97.6481 cents 97.6481
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 97.64811 cents 1: 1 211.61793 cents 1: 1 282.05363 cents 1: 1 297.65775 cents 1: 1 311.02258 cents 2: 1 379.70174 cents 2: 1 395.30586 cents 2: 1 493.67156 cents 2: 1 522.64051 cents 2: 1 608.68033 cents 3: 1 591.31967 cents 3: 1 677.35949 cents 3: 1 706.32844 cents 3: 1 804.69414 cents 3: 1 820.29827 cents 4: 1 888.97742 cents 4: 1 902.34225 cents 4: 1 917.94637 cents 4: 1 988.38207 cents 4: 1 1102.35189 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 : 297.7 608.7 820.3 1102.4 1200.0 297.7 : 311.0 522.6 804.7 902.3 1200.0 608.7 : 211.6 493.7 591.3 889.0 1200.0 820.3 : 282.1 379.7 677.4 988.4 1200.0 1102.4: 97.6 395.3 706.3 917.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 97.6481 .. 311.0226 cents 213.37447 cents 97.64811 cents 2: 379.7017 .. 608.6803 cents 228.97860 cents 68.67916 cents 3: 591.3197 .. 820.2983 cents 228.97860 cents -17.36066 cents 4: 888.9774 .. 1102.3519 cents 213.37447 cents 68.67916 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 97.64811 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 311.02258 cents Average / Smallest step : 2.457805 Largest / Average step : 1.295927 Largest / Smallest step : 3.185137 Median interval of one step : 282.05363 cents, amount: 1 Least squares average step : 261.55129 cents, oct.: 1307.75643 cents Scale is not proper Step pattern alph. order: ABCDE Step pattern size order : DEBCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 17.36066 cents Scale diversity : 1.679373 Lumma stability : 0.277212 Lumma impropriety factor : 0.014467 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 : 13.36482 cents Number of recognisable fifths : 1, average 706.3284 cents Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 100.2066 c. M: 142.3519 c. 6: 1 2 1 1 1 P M ME S SD: 64.0317 c. M: 102.3519 c. 8: 2 2 1 2 1 P M ME S SD: 39.4041 c. M: 70.2983 c. Father-5 9: 2 2 2 2 1 SP M ME S SD: 40.7997 c. M: 75.3470 c. 10: 2 3 2 2 1 P T3 SD: 29.2832 c. M: 57.6578 c. 12: 3 3 2 3 1 P T3 SD: 9.9838 c. M: 20.2983 c. 23: 6 6 4 5 2 N SD: 12.6047 c. M:-17.4066 c. 25: 6 7 4 6 2 N SD: 8.3565 c. M:-15.3197 c. 28: 7 7 5 7 2 P T3 SD: 7.2028 c. M:-11.9338 c. 35: 9 9 6 8 3 N SD: 6.6993 c. M:-10.9137 c. 37: 9 10 6 9 3 N SD: 6.0028 c. M: 9.4875 c. 41: 10 11 7 10 3 N SD: 5.6161 c. M:-9.8432 c. 45: 11 12 8 10 4 N SD: 5.6963 c. M: 9.0186 c. 47: 12 12 8 11 4 N SD: 4.9725 c. M:-8.7252 c. 48: 12 12 9 11 4 P SD: 4.6577 c. M: 8.6803 c. 51: 13 13 9 12 4 N SD: 4.4735 c. M:-8.2246 c. 53: 13 14 9 13 4 N SD: 4.3639 c. M:-7.0821 c. 57: 14 15 10 13 5 N SD: 3.7549 c. M: 7.6151 c. 61: 15 16 11 14 5 N SD: 2.9549 c. M:-5.9312 c. 69: 17 18 12 16 6 N SD: 3.3870 c. M: 6.6997 c. 73: 18 19 13 17 6 N SD: 1.1767 c. M: 1.7673 c. 85: 21 22 15 20 7 N SD: 1.2325 c. M: 1.6215 c. 136: 34 35 24 32 11 N SD: 1.0898 c. M:-2.3422 c. 158: 39 41 28 37 13 N SD: 0.9463 c. M: 1.4552 c. 209: 52 54 37 49 17 N SD: 0.5287 c. M:-0.9068 c. 282: 70 73 50 66 23 N SD: 0.4652 c. M:-0.9783 c. 294: 73 76 52 69 24 N SD: 0.3056 c. M: 0.5171 c. 367: 91 95 65 86 30 N SD: 0.3561 c. M: 0.5059 c. 379: 94 98 67 89 31 N SD: 0.4245 c. M: 0.7648 c. 392: 97 102 69 92 32 N SD: 0.4193 c. M: 0.7190 c. 404: 100 105 71 95 33 N SD: 0.4079 c. M: 0.6281 c. 408: 101 106 72 96 33 N SD: 0.4026 c. M: 0.5989 c. 420: 104 109 74 99 34 N SD: 0.3525 c. M: 0.5149 c. 455: 113 118 80 107 37 N SD: 0.2987 c. M:-0.5504 c. 528: 131 137 93 124 43 N SD: 0.2020 c. M:-0.4106 c. 540: 134 140 95 127 44 N SD: 0.1809 c. M: 0.2983 c. 613: 152 159 108 144 50 N SD: 0.1311 c. M: 0.2312 c. 702: 174 182 124 165 57 N SD: 0.1778 c. M: 0.2219 c. 714: 177 185 126 168 58 N SD: 0.1756 c. M: 0.2770 c. 749: 186 194 132 176 61 N SD: 0.1669 c. M:-0.3396 c. 822: 204 213 145 193 67 N SD: 0.1227 c. M: 0.1621 c. 907: 225 235 160 213 74 N SD: 0.1212 c. M: 0.2571 c. 1084: 269 281 191 255 88 N SD: 0.1420 c. M:-0.2311 c. 1141: 283 296 201 268 93 N SD: 0.1377 c. M:-0.2592 c. 1153: 286 299 203 271 94 N SD: 0.1361 c. M: 0.1836 c. 1157: 287 300 204 272 94 N SD: 0.1022 c. M:-0.1546 c. 1169: 290 303 206 275 95 N SD: 0.0798 c. M:-0.1289 c. 1242: 308 322 219 292 101 N SD: 0.0441 c. M: 0.0732 c. 1536: 381 398 271 361 125 N SD: 0.0394 c. M: 0.0866 c. 1991: 494 516 351 468 162 N SD: 0.0455 c. M:-0.0821 c. 2064: 512 535 364 485 168 N SD: 0.0322 c. M:-0.0506 c. 2149: 533 557 379 505 175 N SD: 0.0370 c. M: 0.0718 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x 3 x x 4 S SD: 46.6373 cents 3 x 4:5 x 6 S SD: 42.6144 cents 4:5:6 x x 8 S SD: 42.8953 cents 5:6:7:8:9:10 H SD: 18.1498 cents 7:8:10:11:13:14 SD: 16.5727 cents 9:11:13:14:17:18 SD: 15.9053 cents 10:12:14:16:19:20 SD: 6.7236 cents 16:19:23:26:30:32 SD: 6.2977 cents 17:20:24:27:32:34 SD: 5.7669 cents 21:25:30:34:40:42 SD: 4.2961 cents 26:31:37:42:49:52 SD: 2.6677 cents 36:43:51:58:68:72 SD: 2.5440 cents 38:45:54:61:72:76 SD: 1.2931 cents 64:76:91:103:121:128 SD: 0.7161 cents 102:121:145:164:193:204 SD: 0.6357 cents 107:127:152:172:202:214 SD: 0.6028 cents 145:172:206:233:274:290 SD: 0.4808 cents 192:228:273:308:363:384 SD: 0.4474 cents 213:253:303:342:403:426 SD: 0.4460 cents 218:259:310:350:412:436 SD: 0.2667 cents 256:304:364:411:484:512 SD: 0.2051 cents 282:335:401:453:533:564 SD: 0.2033 cents 320:380:455:514:605:640 SD: 0.1515 cents 330:392:469:530:624:660 SD: 0.1392 cents 363:431:516:583:686:726 SD: 0.1293 cents 373:443:530:599:705:746 SD: 0.1208 cents 437:519:621:702:826:874 SD: 0.0951 cents