Scala analysis: CD05_01_bayati_Egypt
Dis-moi : qu'as-tu gagné avec tes caprices ? - ‘Abduh al-Ḥāmūlī (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 149.660 cents 149.660005 2: 310.602 cents 310.602434 3: 506.445 cents 506.445052 4: 617.534 cents 617.534314 5: 1009.303 cents 1009.303062 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 190.6969 cents 190.6969 1: 149.6600 cents 149.6600 2: 160.9424 cents 160.9424 3: 195.8426 cents 195.8426 4: 111.0893 cents 111.0893 5: 391.7687 cents 391.7687 6: 190.6969 cents 190.6969
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 111.08926 cents 1: 1 149.66001 cents 1: 1 160.94243 cents 1: 1 190.69694 cents 1: 1 195.84262 cents 1: 1 391.76875 cents 2: 1 306.93188 cents 2: 1 310.60243 cents 2: 1 340.35694 cents 2: 1 356.78505 cents 2: 1 502.85801 cents 2: 1 582.46569 cents 3: 1 467.87431 cents 3: 1 501.29937 cents 3: 1 506.44505 cents 3: 1 693.55495 cents 3: 1 698.70063 cents 3: 1 732.12569 cents 4: 1 617.53431 cents 4: 1 697.14199 cents 4: 1 843.21495 cents 4: 1 859.64306 cents 4: 1 889.39757 cents 4: 1 893.06812 cents 5: 1 808.23125 cents 5: 1 1004.15738 cents 5: 1 1009.30306 cents 5: 1 1039.05757 cents 5: 1 1050.33999 cents 5: 1 1088.91074 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 : 149.7 310.6 506.4 617.5 1009.3 1200.0 149.7 : 160.9 356.8 467.9 859.6 1050.3 1200.0 310.6 : 195.8 306.9 698.7 889.4 1039.1 1200.0 506.4 : 111.1 502.9 693.6 843.2 1004.2 1200.0 617.5 : 391.8 582.5 732.1 893.1 1088.9 1200.0 1009.3: 190.7 340.4 501.3 697.1 808.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 111.0893 .. 391.7687 cents 280.67949 cents 111.08926 cents 2: 306.9319 .. 582.4657 cents 275.53381 cents -84.83687 cents 3: 467.8743 .. 732.1257 cents 264.25138 cents -114.59138 cents 4: 617.5343 .. 893.0681 cents 275.53381 cents -114.59138 cents 5: 808.2313 .. 1088.9107 cents 280.67949 cents -84.83687 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 111.08926 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 391.76875 cents Average / Smallest step : 1.800354 Largest / Average step : 1.958844 Largest / Smallest step : 3.526612 Median interval of one step : 175.81968 cents, amount: 0 Least squares average step : 186.88849 cents, oct.: 1121.33094 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BCEAFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.55864 cents Scale diversity : 1.573828 Lumma stability : 0.185149 Lumma impropriety factor : 0.332380 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 : 1.55864 cents Number of recognisable fifths : 3, average 696.4659 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 0 2 1 N T3 SD: 57.2605 c. M:-93.5549 c. 7: 1 1 1 1 2 1 P M ME SD: 33.1549 c. M:-68.1800 c. 8: 1 1 1 1 3 1 N M DE SD: 29.6149 c. M: 56.4451 c. 11: 1 2 2 1 3 2 P D3 SD: 30.4706 c. M: 40.5691 c. 12: 1 2 2 1 4 2 N SD: 22.4130 c. M: 49.6600 c. Honchoshi plagal form: Japan 14: 2 2 2 1 5 2 N SD: 19.3840 c. M:-32.2547 c. 15: 2 2 2 2 5 2 N M DE SD: 19.7551 c. M:-30.6969 c. 16: 2 2 3 1 5 3 N SD: 17.9859 c. M: 34.3031 c. 17: 2 2 3 2 5 3 N SD: 17.2300 c. M: 28.2495 c. 19: 2 3 3 2 6 3 N SD: 11.3432 c. M: 23.3442 c. 23: 3 3 4 2 7 4 N SD: 10.6775 c. M: 17.9987 c. 24: 3 3 4 2 8 4 N SD: 9.5574 c. M: 17.5343 c. 31: 4 4 5 3 10 5 N SD: 2.8718 c. M:-5.1787 c. 74: 9 10 12 7 24 12 N SD: 2.9141 c. M: 3.8977 c. 81: 10 11 13 8 26 13 N SD: 2.4369 c. M:-4.6879 c. 88: 11 12 14 8 29 14 N SD: 2.1667 c. M: 3.8980 c. 105: 13 14 17 10 34 17 N SD: 2.2809 c. M: 3.5888 c. 107: 13 15 17 10 35 17 N SD: 2.2458 c. M: 3.8656 c. 112: 14 15 18 11 36 18 N SD: 2.1686 c. M:-3.8943 c. 113: 14 15 19 10 37 18 N SD: 1.8945 c. M:-3.2895 c. 119: 15 16 19 11 39 19 N SD: 1.7423 c. M: 2.4083 c. 128: 16 17 21 12 42 20 N SD: 1.4921 c. M:-3.1969 c. 144: 18 19 24 13 47 23 N SD: 1.3243 c. M: 2.2691 c. 151: 19 20 25 14 49 24 N SD: 1.4349 c. M:-2.3332 c. 159: 20 21 26 15 52 25 N SD: 1.2568 c. M:-2.0177 c. 175: 22 23 29 16 57 28 N SD: 1.1816 c. M: 2.0310 c. 177: 22 24 29 16 58 28 N SD: 1.0849 c. M:-2.0295 c. 190: 24 25 31 18 62 30 N SD: 1.2810 c. M:-1.9189 c. 194: 24 26 32 18 63 31 N SD: 0.9969 c. M: 1.3241 c. 202: 25 27 33 19 66 32 N SD: 1.0682 c. M: 1.6915 c. 208: 26 28 34 19 68 33 N SD: 0.6704 c. M:-1.2473 c. 239: 30 32 39 22 78 38 N SD: 0.5592 c. M:-0.9676 c. 282: 35 38 46 26 92 45 N SD: 0.4865 c. M: 0.7924 c. 313: 39 42 51 29 102 50 N SD: 0.4538 c. M: 0.9964 c. 391: 49 52 64 36 128 62 N SD: 0.5036 c. M:-0.7236 c. 402: 50 54 66 37 131 64 N SD: 0.4978 c. M:-1.0176 c. 410: 51 55 67 38 134 65 N SD: 0.2883 c. M:-0.4530 c. 441: 55 59 72 41 144 70 N SD: 0.2362 c. M: 0.3984 c. 618: 77 83 101 57 202 98 N SD: 0.2303 c. M:-0.4057 c. 649: 81 87 106 60 212 103 N SD: 0.1347 c. M:-0.2501 c. 931: 116 125 152 86 304 148 N SD: 0.0959 c. M: 0.1434 c. 962: 120 129 157 89 314 153 N SD: 0.0707 c. M: 0.1555 c. 1372: 171 184 224 127 448 218 N SD: 0.0636 c. M: 0.1068 c. 1611: 201 216 263 149 526 256 N SD: 0.0409 c. M:-0.0726 c. 2334: 291 313 381 216 762 371 N SD: 0.0439 c. M: 0.0626 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 42.2103 cents 3 x x 4 x 5:6 S SD: 41.7421 cents 4 x 5 x 6:7:8 S SD: 30.1013 cents 5 x 6 x 7:9:10 SD: 9.0854 cents 6 x 7:8:9:11:12 SD: 20.7023 cents 7 x 8:9:10:13:14 SD: 24.7345 cents 8:9:10:11 x 14:16 SD: 22.2056 cents 9:10:11:12:13:16:18 SD: 9.1835 cents 11:12:13:15:16:20:22 SD: 9.1583 cents 14:15:17:19:20:25:28 SD: 7.6189 cents 19:21:23:25:27:34:38 SD: 7.5150 cents 20:22:24:27:29:36:40 SD: 5.6847 cents 21:23:25:28:30:38:42 SD: 3.7726 cents 30:33:36:40:43:54:60 SD: 3.4674 cents 35:38:42:47:50:63:70 SD: 2.1255 cents 47:51:56:63:67:84:94 SD: 2.0548 cents 56:61:67:75:80:100:112 SD: 0.9621 cents 77:84:92:103:110:138:154 SD: 0.6552 cents 112:122:134:150:160:201:224 SD: 0.5979 cents 133:145:159:178:190:238:266 SD: 0.5082 cents 168:183:201:225:240:301:336 SD: 0.2945 cents 320:349:383:429:457:573:640 SD: 0.2657 cents 341:372:408:457:487:611:682 SD: 0.2121 cents 397:433:475:532:567:711:794 SD: 0.1586 cents 432:471:517:579:617:774:864 SD: 0.1441 cents 488:532:584:654:697:874:976 SD: 0.1348 cents 509:555:609:682:727:912:1018 SD: 0.0901 cents 565:616:676:757:807:1012:1130 SD: 0.0726 cents