Scala analysis: CD05_13_Egypt
Sa taille ondoyante - ‘Abduh al-Ḥāmūlī (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 211.633 cents 211.633481 2: 352.380 cents 352.380211 3: 508.441 cents 508.440567 4: 708.214 cents 708.214039 5: 895.890 cents 895.890411 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 304.1096 cents 304.1096 1: 211.6335 cents 211.6335 2: 140.7467 cents 140.7467 3: 156.0604 cents 156.0604 4: 199.7735 cents 199.7735 5: 187.6764 cents 187.6764 6: 304.1096 cents 304.1096
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 140.74673 cents 1: 1 156.06036 cents 1: 1 187.67637 cents 1: 1 199.77347 cents 1: 1 211.63348 cents 1: 1 304.10959 cents 2: 1 296.80709 cents 2: 1 352.38021 cents 2: 1 355.83383 cents 2: 1 387.44984 cents 2: 1 491.78596 cents 2: 1 515.74307 cents 3: 1 496.58056 cents 3: 1 508.44057 cents 3: 1 543.51020 cents 3: 1 656.48980 cents 3: 1 691.55943 cents 3: 1 703.41944 cents 4: 1 684.25693 cents 4: 1 708.21404 cents 4: 1 812.55016 cents 4: 1 844.16617 cents 4: 1 847.61979 cents 4: 1 903.19291 cents 5: 1 895.89041 cents 5: 1 988.36652 cents 5: 1 1000.22653 cents 5: 1 1012.32363 cents 5: 1 1043.93964 cents 5: 1 1059.25327 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 : 211.6 352.4 508.4 708.2 895.9 1200.0 211.6 : 140.7 296.8 496.6 684.3 988.4 1200.0 352.4 : 156.1 355.8 543.5 847.6 1059.3 1200.0 508.4 : 199.8 387.4 691.6 903.2 1043.9 1200.0 708.2 : 187.7 491.8 703.4 844.2 1000.2 1200.0 895.9 : 304.1 515.7 656.5 812.6 1012.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 140.7467 .. 304.1096 cents 163.36286 cents 140.74673 cents 2: 296.8071 .. 515.7431 cents 218.93598 cents -7.30250 cents 3: 496.5806 .. 703.4194 cents 206.83888 cents -19.16251 cents 4: 684.2569 .. 903.1929 cents 218.93598 cents -19.16251 cents 5: 895.8904 .. 1059.2533 cents 163.36286 cents -7.30250 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 140.74673 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 304.10959 cents Average / Smallest step : 1.420992 Largest / Average step : 1.520548 Largest / Smallest step : 2.160687 Median interval of one step : 193.72492 cents, amount: 0 Least squares average step : 186.30795 cents, oct.: 1117.84772 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : EABDCF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.79460 cents Scale diversity : 1.485976 Lumma stability : 0.234578 Lumma impropriety factor : 0.044108 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 : 3.45362 cents Number of recognisable fifths : 3, average 701.0643 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 1 1 2 N T3 SD: 96.6261 c. M: 152.3802 c. 7: 1 1 1 1 1 2 P M ME SD: 24.9963 c. M: 40.2049 c. 12: 2 2 1 2 2 3 P G D3 SD: 20.6502 c. M:-47.6198 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: 18.6395 c. M: 33.2140 c. 17: 3 2 2 3 3 4 P SD: 10.6792 c. M:-21.7566 c. 24: 4 3 3 4 4 6 P SD: 7.0310 c. M: 11.6335 c. 40: 7 5 5 7 6 10 P SD: 6.0410 c. M:-11.7860 c. 44: 8 5 6 7 7 11 N SD: 5.1659 c. M:-9.7413 c. 47: 8 6 6 8 7 12 P SD: 4.7385 c. M: 7.3782 c. 51: 9 6 7 8 8 13 N SD: 3.9512 c. M:-9.2065 c. 52: 9 6 7 9 8 13 P SD: 4.5308 c. M:-7.1706 c. 61: 11 7 8 10 10 15 N SD: 4.4030 c. M:-9.0276 c. 64: 11 8 8 11 10 16 P SD: 3.7420 c. M: 5.3835 c. 68: 12 8 9 11 11 17 N SD: 2.3702 c. M:-4.1096 c. 78: 14 9 10 13 12 20 N SD: 2.2319 c. M:-3.7511 c. 95: 17 11 12 16 15 24 N SD: 1.9599 c. M: 3.1774 c. 102: 18 12 13 17 16 26 N SD: 1.6050 c. M: 2.5582 c. 130: 23 15 17 22 20 33 N SD: 1.3162 c. M:-2.5552 c. 137: 24 16 18 23 21 35 N SD: 1.5225 c. M: 2.4598 c. 142: 25 17 18 24 22 36 N SD: 1.3728 c. M:-2.5494 c. 146: 26 17 19 24 23 37 N SD: 1.1928 c. M:-2.0651 c. 154: 27 18 20 26 24 39 N SD: 1.2348 c. M: 1.9471 c. 170: 30 20 22 28 27 43 N SD: 1.0122 c. M: 2.3317 c. 198: 35 23 26 33 31 50 N SD: 0.7464 c. M:-1.0793 c. 205: 36 24 27 34 32 52 N SD: 0.6989 c. M: 1.1607 c. 276: 49 32 36 46 43 70 N SD: 0.6304 c. M:-1.4100 c. 283: 50 33 37 47 44 72 N SD: 0.5651 c. M: 1.1908 c. 300: 53 35 39 50 47 76 N SD: 0.2974 c. M: 0.4406 c. 493: 87 58 64 82 77 125 N SD: 0.2721 c. M:-0.5610 c. 517: 91 61 67 86 81 131 N SD: 0.2739 c. M:-0.4244 c. 647: 114 76 84 108 101 164 N SD: 0.1765 c. M:-0.2867 c. 715: 126 84 93 119 112 181 N SD: 0.1595 c. M:-0.3334 c. 793: 140 93 103 132 124 201 N SD: 0.1249 c. M:-0.2202 c. 998: 176 117 130 166 156 253 N SD: 0.0883 c. M:-0.1767 c. 1298: 229 152 169 216 203 329 N SD: 0.0744 c. M: 0.1460 c. 1440: 254 169 187 240 225 365 N SD: 0.0861 c. M:-0.1198 c. 1508: 266 177 196 251 236 382 N SD: 0.0820 c. M:-0.1397 c. 1645: 290 193 214 274 257 417 N SD: 0.0694 c. M:-0.1142 c. 1791: 316 210 233 298 280 454 N SD: 0.0675 c. M:-0.1021 c. 1815: 320 213 236 302 284 460 N SD: 0.0549 c. M: 0.1149 c. 1945: 343 228 253 324 304 493 N SD: 0.0568 c. M: 0.0923 c. 2013: 355 236 262 335 315 510 N SD: 0.0510 c. M:-0.0857 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 3.1295 cents 3 x x 4 x 5:6 S SD: 5.1752 cents 4 x 5 x 6:7:8 S SD: 20.1715 cents 5 x 6:7 x 8:10 S SD: 29.1482 cents 6:7 x 8:9:10:12 S SD: 11.5437 cents 7:8 x 9:11:12:14 SD: 22.5095 cents 8:9:10:11:12:13:16 SD: 13.0744 cents 9:10:11:12:14:15:18 S SD: 10.9738 cents 14:16:17:19:21:23:28 SD: 8.2041 cents 17:19:21:23:26:29:34 SD: 8.0622 cents 18:20:22:24:27:30:36 S SD: 5.6748 cents 22:25:27:30:33:37:44 SD: 5.1839 cents 23:26:28:31:35:39:46 SD: 4.9804 cents 26:29:32:35:39:44:52 SD: 4.8865 cents 30:34:37:40:45:50:60 SD: 3.4162 cents 32:36:39:43:48:54:64 SD: 2.9143 cents 40:45:49:54:60:67:80 SD: 2.5373 cents 44:50:54:59:66:74:88 SD: 2.0746 cents 53:60:65:71:80:89:106 SD: 1.0421 cents 85:96:104:114:128:143:170 SD: 0.9564 cents 93:105:114:125:140:156:186 SD: 0.6419 cents 115:130:141:154:173:193:230 SD: 0.5459 cents 146:165:179:196:220:245:292 SD: 0.3707 cents 208:235:255:279:313:349:416 SD: 0.1434 cents 354:400:434:475:533:594:708 SD: 0.1249 cents 469:530:575:629:706:787:938 SD: 0.0914 cents