Scala analysis: CD10_02_Egypt
Salut à Marie / Bimâyro - 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: 160.309 cents 160.308589 2: 255.607 cents 255.607316 3: 469.094 cents 469.093740 4: 892.465 cents 892.464556 5: 1017.200 cents 1017.200249 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 182.7998 cents 182.7998 1: 160.3086 cents 160.3086 2: 95.2987 cents 95.2987 3: 213.4864 cents 213.4864 4: 423.3708 cents 423.3708 5: 124.7357 cents 124.7357 6: 182.7998 cents 182.7998
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 95.29873 cents 1: 1 124.73569 cents 1: 1 160.30859 cents 1: 1 182.79975 cents 1: 1 213.48642 cents 1: 1 423.37082 cents 2: 1 255.60732 cents 2: 1 307.53544 cents 2: 1 308.78515 cents 2: 1 343.10834 cents 2: 1 548.10651 cents 2: 1 636.85724 cents 3: 1 438.40707 cents 3: 1 467.84403 cents 3: 1 469.09374 cents 3: 1 730.90626 cents 3: 1 732.15597 cents 3: 1 761.59293 cents 4: 1 563.14276 cents 4: 1 651.89349 cents 4: 1 856.89166 cents 4: 1 891.21485 cents 4: 1 892.46456 cents 4: 1 944.39268 cents 5: 1 776.62918 cents 5: 1 986.51358 cents 5: 1 1017.20025 cents 5: 1 1039.69141 cents 5: 1 1075.26431 cents 5: 1 1104.70127 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 : 160.3 255.6 469.1 892.5 1017.2 1200.0 160.3 : 95.3 308.8 732.2 856.9 1039.7 1200.0 255.6 : 213.5 636.9 761.6 944.4 1104.7 1200.0 469.1 : 423.4 548.1 730.9 891.2 986.5 1200.0 892.5 : 124.7 307.5 467.8 563.1 776.6 1200.0 1017.2: 182.8 343.1 438.4 651.9 1075.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 95.2987 .. 423.3708 cents 328.07209 cents 95.29873 cents 2: 255.6073 .. 636.8572 cents 381.24992 cents -167.76350 cents 3: 438.4071 .. 761.5929 cents 323.18587 cents -198.45017 cents 4: 563.1428 .. 944.3927 cents 381.24992 cents -198.45017 cents 5: 776.6292 .. 1104.7013 cents 328.07209 cents -167.76350 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 95.29873 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 423.37082 cents Average / Smallest step : 2.098664 Largest / Average step : 2.116854 Largest / Smallest step : 4.442565 Median interval of one step : 171.55417 cents, amount: 0 Least squares average step : 197.08422 cents, oct.: 1182.50531 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : CAEFBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 15.03625 cents Scale diversity : 1.687131 Lumma stability : 0.158831 Lumma impropriety factor : 0.548927 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 : 1.24971 cents Number of recognisable fifths : 0 Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 2 1 1 N T3 SD: 55.2073 c. M: 92.4646 c. 7: 1 0 2 2 1 1 N SD: 42.0891 c. M: 84.1787 c. 8: 1 1 1 3 1 1 N M DE SD: 24.4068 c. M:-44.3927 c. 13: 2 1 2 5 1 2 N SD: 18.4512 c. M:-30.6124 c. 15: 2 1 3 5 2 2 N SD: 13.1518 c. M:-22.7998 c. 20: 3 1 4 7 2 3 N SD: 11.6541 c. M:-19.6914 c. 23: 3 2 4 8 2 4 N SD: 11.1295 c. M: 25.8959 c. 24: 3 2 4 9 2 4 N SD: 11.9367 c. M: 19.0937 c. 27: 4 2 5 9 3 4 N SD: 11.9536 c. M:-19.7951 c. 28: 4 2 5 10 3 4 N SD: 7.2750 c. M:-11.3712 c. 38: 5 3 7 13 4 6 N SD: 4.9737 c. M: 8.2540 c. 39: 5 3 7 14 4 6 N SD: 5.6500 c. M: 9.4535 c. 46: 6 4 8 16 5 7 N SD: 3.4792 c. M: 5.5080 c. 51: 7 4 9 18 5 8 N SD: 3.2709 c. M: 5.4355 c. 66: 9 5 12 23 7 10 N SD: 2.1904 c. M:-3.6335 c. 74: 10 6 13 26 8 11 N SD: 2.5670 c. M:-4.4214 c. 85: 11 7 15 30 9 13 N SD: 2.8145 c. M: 5.0145 c. 90: 12 7 16 32 9 14 N SD: 2.1160 c. M: 3.8669 c. 98: 13 8 17 35 10 15 N SD: 1.8587 c. M: 3.7876 c. 105: 14 8 19 37 11 16 N SD: 1.7751 c. M: 4.1787 c. 112: 15 9 20 39 12 17 N SD: 1.7564 c. M: 3.1788 c. 113: 15 9 20 40 12 17 N SD: 1.3094 c. M:-2.2688 c. 136: 18 11 24 48 14 21 N SD: 1.4292 c. M: 2.4944 c. 151: 20 12 27 53 16 23 N SD: 1.2496 c. M: 2.3983 c. 156: 21 12 28 55 16 24 N SD: 1.1514 c. M: 1.8156 c. 164: 22 13 29 58 17 25 N SD: 0.4815 c. M: 0.8011 c. 315: 42 25 56 111 33 48 N SD: 0.5133 c. M: 1.0360 c. 343: 46 27 61 121 36 52 N SD: 0.4828 c. M:-0.8756 c. 366: 49 29 65 129 38 56 N SD: 0.4626 c. M: 0.8068 c. 433: 58 34 77 153 45 66 N SD: 0.4387 c. M: 0.7335 c. 465: 62 37 83 164 48 71 N SD: 0.3708 c. M:-0.5837 c. 479: 64 38 85 169 50 73 N SD: 0.3565 c. M: 0.6177 c. 539: 72 43 96 190 56 82 N SD: 0.3578 c. M:-0.6651 c. 545: 73 43 97 192 57 83 N SD: 0.3540 c. M: 0.7214 c. 578: 77 46 103 204 60 88 N SD: 0.2429 c. M: 0.4470 c. 629: 84 50 112 222 65 96 N SD: 0.2311 c. M:-0.3812 c. 703: 94 56 125 248 73 107 N SD: 0.2647 c. M:-0.4382 c. 742: 99 59 132 262 77 113 N SD: 0.1439 c. M:-0.2578 c. 808: 108 64 144 285 84 123 N SD: 0.1337 c. M:-0.2132 c. 944: 126 75 168 333 98 144 N SD: 0.1299 c. M: 0.2511 c. 972: 130 77 173 343 101 148 N SD: 0.1018 c. M:-0.1852 c. 1174: 157 93 209 414 122 179 N SD: 0.1173 c. M:-0.1684 c. 1182: 158 94 210 417 123 180 N SD: 0.1122 c. M:-0.2302 c. 1287: 172 102 229 454 134 196 N SD: 0.0976 c. M: 0.1569 c. 1596: 213 127 284 563 166 243 N SD: 0.0829 c. M: 0.1582 c. 1647: 220 131 293 581 171 251 N SD: 0.0847 c. M:-0.1304 c. 1752: 234 139 312 618 182 267 N SD: 0.0714 c. M: 0.1279 c. 1760: 235 140 313 621 183 268 N SD: 0.0558 c. M: 0.0813 c. 1916: 256 152 341 676 199 292 N SD: 0.0471 c. M: 0.0813 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 95.2548 cents 3 x x 4:5 x 6 S SD: 10.0215 cents 4 x x 5 x 7:8 SD: 31.9594 cents 5 x 6:7:8:9:10 S SD: 30.1158 cents 6 x 7:8:10:11:12 S SD: 9.0889 cents 7 x 8:9:12:13:14 S SD: 15.9720 cents 8:9 x 11:13:14:16 SD: 23.4089 cents 9:10 x 12:15:16:18 S SD: 8.5737 cents 12:13:14:16:20:22:24 S SD: 8.3958 cents 13:14:15:17:22:23:26 SD: 8.0133 cents 18:20:21:24:30:32:36 S SD: 7.3873 cents 19:21:22:25:32:34:38 SD: 3.3462 cents 31:34:36:41:52:56:62 SD: 2.8206 cents 39:43:45:51:65:70:78 SD: 2.6148 cents 49:54:57:64:82:88:98 SD: 2.1091 cents 51:56:59:67:85:92:102 SD: 1.7299 cents 61:67:71:80:102:110:122 SD: 1.4435 cents 64:70:74:84:107:115:128 SD: 1.3110 cents 70:77:81:92:117:126:140 SD: 1.2597 cents 74:81:86:97:124:133:148 SD: 1.0827 cents 83:91:96:109:139:149:166 SD: 1.0534 cents 93:102:108:122:156:167:186 SD: 0.9812 cents 113:124:131:148:189:203:226 SD: 0.6918 cents 125:137:145:164:209:225:250 SD: 0.5831 cents 144:158:167:189:241:259:288 SD: 0.3914 cents 145:159:168:190:243:261:290 SD: 0.3565 cents 215:236:249:282:360:387:430 SD: 0.3152 cents 270:296:313:354:452:486:540 SD: 0.2189 cents 289:317:335:379:484:520:578 SD: 0.0856 cents