Scala analysis: CD01_11_bayati_Egypt
Moi, je n'écoute pas le blâmeur / Mon espoir est en ta vie / Ô croissant de lune - Darwîsh Muhammad al-Harîrî (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 133.049 cents 133.049197 2: 256.491 cents 256.491063 3: 456.370 cents 456.369931 4: 641.068 cents 641.068312 5: 814.517 cents 814.516588 6: 918.350 cents 918.350362 7: 1168.115 cents 1168.115466 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 31.8845 cents 31.8845 1: 133.0492 cents 133.0492 2: 123.4419 cents 123.4419 3: 199.8789 cents 199.8789 4: 184.6984 cents 184.6984 5: 173.4483 cents 173.4483 6: 103.8338 cents 103.8338 7: 249.7651 cents 249.7651 8: 31.8845 cents 31.8845
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 31.88453 cents 1: 1 103.83377 cents 1: 1 123.44187 cents 1: 1 133.04920 cents 1: 1 173.44828 cents 1: 1 184.69838 cents 1: 1 199.87887 cents 1: 1 249.76510 cents 2: 1 164.93373 cents 2: 1 256.49106 cents 2: 1 277.28205 cents 2: 1 281.64964 cents 2: 1 323.32073 cents 2: 1 353.59888 cents 2: 1 358.14666 cents 2: 1 384.57725 cents 3: 1 288.37560 cents 3: 1 385.48341 cents 3: 1 414.69883 cents 3: 1 456.36993 cents 3: 1 461.98043 cents 3: 1 508.01912 cents 3: 1 527.04715 cents 3: 1 558.02552 cents 4: 1 488.25447 cents 4: 1 518.53261 cents 4: 1 538.14070 cents 4: 1 558.93169 cents 4: 1 641.06831 cents 4: 1 661.85930 cents 4: 1 681.46739 cents 4: 1 711.74553 cents 5: 1 641.97447 cents 5: 1 672.95285 cents 5: 1 691.98089 cents 5: 1 738.01957 cents 5: 1 743.63007 cents 5: 1 785.30116 cents 5: 1 814.51659 cents 5: 1 911.62440 cents 6: 1 815.42275 cents 6: 1 841.85334 cents 6: 1 846.40112 cents 6: 1 876.67927 cents 6: 1 918.35036 cents 6: 1 922.71795 cents 6: 1 943.50894 cents 6: 1 1035.06627 cents 7: 1 950.23490 cents 7: 1 1000.12113 cents 7: 1 1015.30162 cents 7: 1 1026.55172 cents 7: 1 1066.95080 cents 7: 1 1076.55813 cents 7: 1 1096.16623 cents 7: 1 1168.11547 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 133.0 256.5 456.4 641.1 814.5 918.4 1168.1 1200.0 133.0 : 123.4 323.3 508.0 681.5 785.3 1035.1 1067.0 1200.0 256.5 : 199.9 384.6 558.0 661.9 911.6 943.5 1076.6 1200.0 456.4 : 184.7 358.1 462.0 711.7 743.6 876.7 1000.1 1200.0 641.1 : 173.4 277.3 527.0 558.9 692.0 815.4 1015.3 1200.0 814.5 : 103.8 353.6 385.5 518.5 642.0 841.9 1026.6 1200.0 918.4 : 249.8 281.6 414.7 538.1 738.0 922.7 1096.2 1200.0 1168.1: 31.9 164.9 288.4 488.3 673.0 846.4 950.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 31.8845 .. 249.7651 cents 217.88057 cents 31.88453 cents 2: 164.9337 .. 384.5772 cents 219.64352 cents -84.83137 cents 3: 288.3756 .. 558.0255 cents 269.64993 cents -96.20165 cents 4: 488.2545 .. 711.7455 cents 223.49107 cents -69.77106 cents 5: 641.9745 .. 911.6244 cents 269.64993 cents -69.77106 cents 6: 815.4228 .. 1035.0663 cents 219.64352 cents -96.20165 cents 7: 950.2349 .. 1168.1155 cents 217.88057 cents -84.83137 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 31.88453 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 249.76510 cents Average / Smallest step : 4.704475 Largest / Average step : 1.665101 Largest / Smallest step : 7.833425 Median interval of one step : 153.24874 cents, amount: 0 Least squares average step : 156.56327 cents, oct.: 1252.50619 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : DCGFEBHA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.90616 cents Scale diversity : 1.682248 Lumma stability : 0.053141 Lumma impropriety factor : 0.418007 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 0.90616 cents Number of recognisable fifths : 2, average 701.8632 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 2 0 N T3 SD: 34.3207 c. M: 64.5166 c. 9: 1 1 1 2 1 1 2 0 N SD: 25.9526 c. M: 56.3699 c. 10: 1 1 2 1 2 1 2 0 N SD: 27.5861 c. M:-41.6496 c. 13: 1 2 2 2 2 1 3 0 N SD: 20.7154 c. M: 40.7415 c. 18: 2 2 3 3 2 2 4 0 N SD: 17.0175 c. M:-31.8845 c. 19: 2 2 3 3 3 1 4 1 N SD: 17.8187 c. M: 34.1398 c. 20: 2 2 4 3 3 1 4 1 N SD: 19.7979 c. M: 28.1155 c. 21: 2 2 4 3 3 2 4 1 N SD: 16.4072 c. M: 27.9196 c. 22: 2 3 3 4 3 2 4 1 N SD: 15.9141 c. M: 23.9583 c. 24: 3 2 4 4 3 2 5 1 N SD: 12.8717 c. M: 18.3504 c. 26: 3 3 4 4 4 2 5 1 N SD: 11.1211 c. M:-20.4320 c. 28: 3 3 5 4 4 2 6 1 N SD: 9.4050 c. M: 18.3504 c. 30: 3 3 5 5 4 3 6 1 N SD: 11.1280 c. M: 16.4911 c. 32: 4 3 5 5 5 2 7 1 N SD: 10.3375 c. M: 18.3504 c. 34: 4 3 6 5 5 3 7 1 N SD: 5.1729 c. M: 9.4322 c. 37: 4 4 6 6 5 3 8 1 N SD: 5.0199 c. M: 10.2423 c. 47: 5 5 8 7 7 4 10 1 N SD: 3.4575 c. M:-6.3526 c. 65: 7 7 11 10 9 6 13 2 N SD: 3.9314 c. M:-5.1685 c. 69: 8 7 11 11 10 6 14 2 N SD: 3.6694 c. M:-6.0812 c. 71: 8 7 12 11 10 6 15 2 N SD: 2.7689 c. M: 5.6743 c. 81: 9 8 14 12 12 7 17 2 N SD: 2.5349 c. M: 4.6392 c. 84: 9 9 14 13 12 7 18 2 N SD: 2.5452 c. M: 4.4778 c. 90: 10 9 15 14 13 8 19 2 N SD: 2.5437 c. M:-5.2179 c. 103: 11 11 17 16 15 9 21 3 N SD: 2.3094 c. M: 4.8939 c. 106: 12 11 17 17 15 9 22 3 N SD: 2.7332 c. M:-4.2147 c. 107: 12 11 18 16 16 9 22 3 N SD: 2.2848 c. M:-4.1750 c. 108: 12 11 18 17 15 10 22 3 N SD: 2.2832 c. M:-3.8719 c. 111: 12 12 18 17 16 10 23 3 N SD: 2.4996 c. M: 3.7058 c. 116: 13 12 19 18 17 10 24 3 N SD: 1.6485 c. M:-2.7248 c. 118: 13 12 20 18 17 10 25 3 N SD: 1.5781 c. M: 3.0961 c. 144: 16 15 24 22 21 12 30 4 N SD: 1.4682 c. M:-2.1501 c. 150: 17 15 25 23 22 13 31 4 N SD: 1.3767 c. M:-2.9508 c. 153: 17 16 25 24 22 13 32 4 N SD: 1.3267 c. M:-2.3325 c. 174: 19 18 29 27 25 15 36 5 N SD: 1.4068 c. M: 2.5982 c. 178: 20 18 30 27 26 15 37 5 N SD: 1.3659 c. M:-2.0570 c. 187: 21 19 31 29 27 16 39 5 N SD: 0.7656 c. M:-1.7102 c. 234: 26 24 39 36 34 20 49 6 N SD: 0.5303 c. M:-1.1153 c. 342: 38 35 57 53 49 30 71 9 N SD: 0.5652 c. M:-1.0370 c. 371: 41 38 62 57 54 32 77 10 N SD: 0.5277 c. M: 0.9655 c. 408: 45 42 68 63 59 35 85 11 N SD: 0.4815 c. M: 0.7033 c. 486: 54 50 81 75 70 42 101 13 N SD: 0.4081 c. M:-0.9070 c. 524: 58 54 87 81 76 45 109 14 N SD: 0.3683 c. M:-0.7506 c. 533: 59 55 89 82 77 46 111 14 N SD: 0.4007 c. M:-0.6657 c. 558: 62 57 93 86 81 48 116 15 N SD: 0.3705 c. M: 0.5771 c. 567: 63 58 95 87 82 49 118 15 N SD: 0.3571 c. M:-0.7729 c. 631: 70 65 105 97 91 55 131 17 N SD: 0.2873 c. M: 0.5705 c. 670: 74 69 112 103 97 58 139 18 N SD: 0.3599 c. M: 0.5119 c. 678: 75 70 113 104 98 59 141 18 N SD: 0.2498 c. M: 0.3603 c. 831: 92 86 138 128 120 72 173 22 N SD: 0.2160 c. M:-0.5486 c. 865: 96 89 144 133 125 75 180 23 N SD: 0.1109 c. M: 0.1813 c. 1099: 122 113 183 169 159 95 229 29 N SD: 0.1163 c. M:-0.2194 c. 1273: 141 131 212 196 184 110 265 34 N SD: 0.1218 c. M: 0.2043 c. 1389: 154 143 231 214 201 120 289 37 N SD: 0.1072 c. M: 0.2144 c. 1507: 167 155 251 232 218 130 314 40 N SD: 0.1054 c. M: 0.2349 c. 1615: 179 166 269 249 233 140 336 43 N SD: 0.1131 c. M:-0.1701 c. 1662: 184 171 277 256 240 144 346 44 N SD: 0.1130 c. M: 0.1972 c. 1722: 191 177 287 265 249 149 358 46 N SD: 0.0931 c. M: 0.1712 c. 1806: 200 186 301 278 261 156 376 48 N SD: 0.0935 c. M: 0.1588 c. 1849: 205 190 308 285 267 160 385 49 N SD: 0.0881 c. M:-0.1432 c. 1956: 217 201 326 301 283 169 407 52 N SD: 0.0877 c. M:-0.2073 c. 2067: 229 213 344 318 299 179 430 55 N SD: 0.0827 c. M: 0.1394 c. 2138: 237 220 356 329 309 185 445 57 N SD: 0.0781 c. M: 0.1106 c. 2254: 250 232 375 347 326 195 469 60 N SD: 0.0708 c. M:-0.1194 c. 2372: 263 244 395 365 343 205 494 63 N SD: 0.0609 c. M: 0.1379 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x 4 S SD: 30.4433 cents 3 x x 4 x x 5 x 6 S SD: 17.9265 cents 4 x x 5:6 x 7 x 8 S SD: 26.4136 cents 5 x 6 x 7:8:9 x 10 S SD: 25.9060 cents 6 x 7:8:9 x 10 x 12 S SD: 16.3795 cents 7 x 8:9:10:11:12 x 14 S SD: 8.9661 cents 8 x 9:10:12:13:14 x 16 S SD: 20.1413 cents 9:10 x 12:13:14:15 x 18 S SD: 14.7273 cents 10:11:12:13:14:16:17 x 20 SD: 12.7408 cents 11:12:13:14:16:18:19 x 22 SD: 10.2749 cents 12:13:14:16:17:19:20 x 24 SD: 9.9376 cents 13:14:15:17:19:21:22 x 26 SD: 3.8391 cents 24:26:28:31:35:38:41:47:48 SD: 3.7886 cents 26:28:30:34:38:42:44:51:52 SD: 3.3662 cents 27:29:31:35:39:43:46:53:54 SD: 2.9384 cents 36:39:42:47:52:58:61:71:72 SD: 2.4920 cents 37:40:43:48:54:59:63:73:74 SD: 2.3544 cents 49:53:57:64:71:78:83:96:98 SD: 1.8402 cents 50:54:58:65:72:80:85:98:100 SD: 1.3169 cents 63:68:73:82:91:101:107:124:126 SD: 0.8714 cents 76:82:88:99:110:122:129:149:152 SD: 0.8693 cents 87:94:101:113:126:139:148:171:174 SD: 0.7302 cents 100:108:116:130:145:160:170:196:200 SD: 0.5596 cents 113:122:131:147:164:181:192:222:226 SD: 0.5337 cents 150:162:174:195:217:240:255:295:300 SD: 0.5099 cents 163:176:189:212:236:261:277:320:326 SD: 0.1969 cents 388:419:450:505:562:621:659:762:776 SD: 0.1773 cents 451:487:523:587:653:722:767:886:902 SD: 0.1719 cents 464:501:538:604:672:743:789:911:928 SD: 0.1286 cents 513:554:595:668:743:821:872:1007:1026 SD: 0.1244 cents 551:595:639:717:798:882:937:1082:1102 SD: 0.1241 cents 576:622:668:750:834:922:979:1131:1152 SD: 0.0867 cents