Scala analysis: CD07_07_bayati_Egypt
Air de procession des pélerins - Taha Abû Mandûr (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 140.182 cents 140.181770 2: 251.204 cents 251.204000 3: 545.519 cents 545.519455 4: 638.633 cents 638.633008 5: 787.776 cents 787.775865 6: 979.386 cents 979.385523 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 220.6145 cents 220.6145 1: 140.1818 cents 140.1818 2: 111.0222 cents 111.0222 3: 294.3155 cents 294.3155 4: 93.1136 cents 93.1136 5: 149.1429 cents 149.1429 6: 191.6097 cents 191.6097 7: 220.6145 cents 220.6145
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 93.11355 cents 1: 1 111.02223 cents 1: 1 140.18177 cents 1: 1 149.14286 cents 1: 1 191.60966 cents 1: 1 220.61448 cents 1: 1 294.31545 cents 2: 1 242.25641 cents 2: 1 251.20400 cents 2: 1 340.75252 cents 2: 1 360.79625 cents 2: 1 387.42901 cents 2: 1 405.33768 cents 2: 1 412.22414 cents 3: 1 433.86607 cents 3: 1 471.81848 cents 3: 1 498.45124 cents 3: 1 536.57186 cents 3: 1 545.51945 cents 3: 1 552.40591 cents 3: 1 561.36699 cents 4: 1 638.63301 cents 4: 1 647.59409 cents 4: 1 654.48055 cents 4: 1 663.42814 cents 4: 1 701.54876 cents 4: 1 728.18152 cents 4: 1 766.13393 cents 5: 1 787.77586 cents 5: 1 794.66232 cents 5: 1 812.57099 cents 5: 1 839.20375 cents 5: 1 859.24748 cents 5: 1 948.79600 cents 5: 1 957.74359 cents 6: 1 905.68455 cents 6: 1 979.38552 cents 6: 1 1008.39034 cents 6: 1 1050.85714 cents 6: 1 1059.81823 cents 6: 1 1088.97777 cents 6: 1 1106.88645 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 140.2 251.2 545.5 638.6 787.8 979.4 1200.0 140.2 : 111.0 405.3 498.5 647.6 839.2 1059.8 1200.0 251.2 : 294.3 387.4 536.6 728.2 948.8 1089.0 1200.0 545.5 : 93.1 242.3 433.9 654.5 794.7 905.7 1200.0 638.6 : 149.1 340.8 561.4 701.5 812.6 1106.9 1200.0 787.8 : 191.6 412.2 552.4 663.4 957.7 1050.9 1200.0 979.4 : 220.6 360.8 471.8 766.1 859.2 1008.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 93.1136 .. 294.3155 cents 201.20190 cents 93.11355 cents 2: 242.2564 .. 412.2241 cents 169.96772 cents -52.05904 cents 3: 433.8661 .. 561.3670 cents 127.50092 cents 21.64193 cents 4: 638.6330 .. 766.1339 cents 127.50092 cents 77.26602 cents 5: 787.7759 .. 957.7436 cents 169.96772 cents 21.64193 cents 6: 905.6845 .. 1106.8864 cents 201.20190 cents -52.05904 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 93.11355 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 294.31545 cents Average / Smallest step : 1.841070 Largest / Average step : 1.716840 Largest / Smallest step : 3.160823 Median interval of one step : 149.14286 cents, amount: 1 Least squares average step : 164.63480 cents, oct.: 1152.44363 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : CBGADEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 21.64193 cents Scale diversity : 1.709256 Lumma stability : 0.255647 Lumma impropriety factor : 0.086765 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 6.88645 cents Number of recognisable fifths : 1, average 701.5488 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 1 2 0 1 1 2 N T3 SD: 98.4252 c. M: 140.1818 c. 8: 1 0 2 1 1 1 2 N D3 SD: 64.0136 c. M: 101.2040 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 22.3307 c. M: 46.0522 c. Pseudo Pelog, Pelogic-7, Antiionian 11: 1 1 3 1 1 2 2 N D3 S SD: 20.3503 c. M: 33.0222 c. 15: 2 1 4 1 2 2 3 N SD: 13.3902 c. M:-19.8182 c. 23: 3 2 5 2 3 4 4 P S SD: 13.3742 c. M: 23.7803 c. 24: 3 2 6 2 3 4 4 N S SD: 10.8333 c. M:-20.6145 c. 25: 3 2 6 2 3 4 5 N SD: 14.2831 c. M: 19.7759 c. 26: 3 2 7 2 3 4 5 N SD: 9.7067 c. M: 20.4348 c. 27: 3 3 6 2 4 4 5 P SD: 11.0572 c. M: 16.4108 c. 28: 3 3 7 2 3 5 5 N SD: 9.4891 c. M: 16.3473 c. 32: 4 3 8 2 4 5 6 N SD: 8.7254 c. M:-16.9805 c. 33: 4 3 8 3 4 5 6 N SD: 7.9958 c. M:-15.9124 c. 35: 4 3 9 3 4 6 6 N S SD: 8.7051 c. M:-14.9002 c. 37: 4 4 9 3 4 6 7 N SD: 7.9387 c. M: 10.4520 c. 38: 4 4 9 3 5 6 7 N SD: 6.7869 c. M: 13.8660 c. 43: 5 4 11 3 5 7 8 N SD: 5.5779 c. M:-12.6201 c. 44: 5 4 11 3 6 7 8 N SD: 5.2431 c. M: 11.3603 c. 49: 6 4 12 4 6 8 9 N SD: 4.6503 c. M:-6.7570 c. 53: 6 5 13 4 7 8 10 N SD: 3.8772 c. M: 5.8006 c. 66: 8 6 16 5 8 11 12 N SD: 3.4956 c. M: 5.9577 c. 70: 8 7 17 5 9 11 13 N SD: 3.3462 c. M:-5.9389 c. 75: 9 7 18 6 9 12 14 N SD: 3.1048 c. M:-4.7960 c. 77: 9 7 19 6 10 12 14 N SD: 2.9003 c. M:-7.0293 c. 92: 11 8 23 7 11 15 17 N SD: 2.8236 c. M: 5.1672 c. 94: 11 9 23 7 12 15 17 N SD: 2.8153 c. M:-4.1151 c. 96: 11 9 24 7 12 15 18 N SD: 2.6541 c. M:-4.4805 c. 104: 12 10 25 8 13 17 19 N SD: 2.6268 c. M: 4.0176 c. 105: 12 10 26 8 13 17 19 N SD: 2.1763 c. M:-3.4716 c. 114: 13 11 28 9 14 18 21 N SD: 2.1294 c. M:-3.4723 c. 119: 14 11 29 9 15 19 22 N SD: 1.5547 c. M: 3.3389 c. 129: 15 12 32 10 16 20 24 N SD: 2.3102 c. M:-3.3178 c. 130: 15 12 32 10 16 21 24 N SD: 1.7500 c. M: 3.1605 c. 137: 16 13 33 11 17 22 25 N SD: 1.5816 c. M:-2.8106 c. 143: 17 13 35 11 18 23 26 N SD: 1.4231 c. M:-2.4756 c. 148: 17 14 36 12 18 24 27 N SD: 1.6420 c. M: 2.3439 c. 152: 18 14 37 12 19 24 28 N SD: 1.2031 c. M:-1.9235 c. 154: 18 14 38 12 19 25 28 N SD: 1.1984 c. M:-2.4327 c. 163: 19 15 40 13 20 26 30 N SD: 0.8409 c. M:-1.8578 c. 178: 21 16 44 14 22 28 33 N SD: 1.3670 c. M: 1.8574 c. 180: 21 17 44 14 22 29 33 N SD: 1.1563 c. M:-2.1293 c. 196: 23 18 48 15 25 31 36 N SD: 1.1051 c. M:-2.0201 c. 207: 24 19 51 16 26 33 38 N SD: 0.9698 c. M: 1.9286 c. 216: 25 20 53 17 27 34 40 N SD: 1.0801 c. M: 1.6077 c. 224: 26 21 55 17 28 36 41 N SD: 0.7812 c. M: 1.1330 c. 233: 27 22 57 18 29 37 43 N SD: 0.7096 c. M:-1.1565 c. 282: 33 26 69 22 35 45 52 N SD: 0.4821 c. M: 0.8386 c. 376: 44 35 92 29 47 60 69 N SD: 0.4644 c. M:-0.9237 c. 387: 45 36 95 30 48 62 71 N SD: 0.3221 c. M: 0.6469 c. 506: 59 47 124 39 63 81 93 N SD: 0.3299 c. M: 0.6883 c. 521: 61 48 128 40 65 83 96 N SD: 0.3578 c. M: 0.6292 c. 539: 63 50 132 42 67 86 99 N SD: 0.2456 c. M:-0.3730 c. 669: 78 62 164 52 83 107 123 N SD: 0.1880 c. M: 0.3319 c. 821: 96 76 201 64 102 131 151 N SD: 0.1633 c. M: 0.3307 c. 832: 97 77 204 65 103 133 153 N SD: 0.2444 c. M: 0.3271 c. 864: 101 80 212 67 107 138 159 N SD: 0.2176 c. M:-0.3139 c. 908: 106 84 223 70 113 145 167 N SD: 0.1778 c. M: 0.3070 c. 975: 114 90 239 76 121 156 179 N SD: 0.1832 c. M:-0.3068 c. 1045: 122 97 256 81 130 167 192 N SD: 0.1392 c. M:-0.2793 c. 1060: 124 98 260 82 132 169 195 N SD: 0.1383 c. M:-0.1956 c. 1071: 125 99 263 83 133 171 197 N SD: 0.1246 c. M: 0.2236 c. 1208: 141 112 296 94 150 193 222 N SD: 0.1012 c. M: 0.1552 c. 1223: 143 113 300 95 152 195 225 N SD: 0.1013 c. M: 0.1541 c. 1447: 169 134 355 112 180 231 266 N SD: 0.0770 c. M:-0.1613 c. 1610: 188 149 395 125 200 257 296 N SD: 0.0621 c. M:-0.1248 c. 1729: 202 160 424 134 215 276 318 N SD: 0.0590 c. M: 0.1136 c. 1892: 221 175 464 147 235 302 348 N SD: 0.0555 c. M: 0.1043 c. 2268: 265 210 556 176 282 362 417 N SD: 0.0518 c. M:-0.1188 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 31.6610 cents 3 x x 4 x x 5:6 S SD: 35.4086 cents 4 x 5 x 6 x 7:8 S SD: 37.3964 cents 5 x 6:7 x 8:9:10 S SD: 17.4952 cents 6 x 7:8:9 x 11:12 SD: 21.3596 cents 7 x 8 x 10:11:12:14 S SD: 10.9834 cents 8 x 9:11:12:13:14:16 SD: 15.9637 cents 9:10 x 12:13:14:16:18 S SD: 11.5976 cents 10:11:12:14 x 16:18:20 S SD: 15.1549 cents 11:12:13:15:16:17:19:22 SD: 9.0296 cents 12:13:14:16:17:19:21:24 SD: 8.9712 cents 13:14:15:18:19:20:23:26 SD: 7.3431 cents 14:15:16:19:20:22:25:28 SD: 6.6789 cents 20:22:23:27:29:32:35:40 SD: 6.6704 cents 21:23:24:29:30:33:37:42 SD: 5.2559 cents 24:26:28:33:35:38:42:48 SD: 3.6853 cents 25:27:29:34:36:39:44:50 SD: 3.5883 cents 33:36:38:45:48:52:58:66 SD: 2.6418 cents 38:41:44:52:55:60:67:76 SD: 1.4600 cents 59:64:68:81:85:93:104:118 SD: 1.3262 cents 70:76:81:96:101:110:123:140 SD: 1.1450 cents 71:77:82:97:103:112:125:142 SD: 1.1388 cents 83:90:96:114:120:131:146:166 SD: 0.6970 cents 108:117:125:148:156:170:190:216 SD: 0.6029 cents 130:141:150:178:188:205:229:260 SD: 0.5646 cents 141:153:163:193:204:222:248:282 SD: 0.5223 cents 154:167:178:211:223:243:271:308 SD: 0.4518 cents 179:194:207:245:259:282:315:358 SD: 0.4043 cents 213:231:246:292:308:336:375:426 SD: 0.3412 cents 224:243:259:307:324:353:394:448 SD: 0.2845 cents 238:258:275:326:344:375:419:476 SD: 0.2590 cents 262:284:303:359:379:413:461:524 SD: 0.2141 cents 321:348:371:440:464:506:565:642 SD: 0.1790 cents 448:486:518:614:648:706:789:896 SD: 0.1502 cents 486:527:562:666:703:766:856:972 SD: 0.1184 cents 569:617:658:780:823:897:1002:1138 SD: 0.1172 cents