Scala analysis: CD10_15_Egypt
Alléluia / Le christ est ressussité / Fi et é ouon - 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: 186.510 cents 186.510178 2: 319.524 cents 319.524193 3: 405.963 cents 405.962841 4: 621.830 cents 621.829971 5: 861.842 cents 861.842177 6: 1078.282 cents 1078.282089 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 121.7179 cents 121.7179 1: 186.5102 cents 186.5102 2: 133.0140 cents 133.0140 3: 86.4386 cents 86.4386 4: 215.8671 cents 215.8671 5: 240.0122 cents 240.0122 6: 216.4399 cents 216.4399 7: 121.7179 cents 121.7179
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 86.43865 cents 1: 1 121.71791 cents 1: 1 133.01402 cents 1: 1 186.51018 cents 1: 1 215.86713 cents 1: 1 216.43991 cents 1: 1 240.01221 cents 2: 1 219.45266 cents 2: 1 302.30578 cents 2: 1 308.22809 cents 2: 1 319.52419 cents 2: 1 338.15782 cents 2: 1 455.87934 cents 2: 1 456.45212 cents 3: 1 405.96284 cents 3: 1 435.31979 cents 3: 1 441.24210 cents 3: 1 524.66800 cents 3: 1 542.31798 cents 3: 1 578.17003 cents 3: 1 672.31925 cents 4: 1 527.68075 cents 4: 1 621.82997 cents 4: 1 657.68202 cents 4: 1 675.33200 cents 4: 1 758.75790 cents 4: 1 764.68021 cents 4: 1 794.03716 cents 5: 1 743.54788 cents 5: 1 744.12066 cents 5: 1 861.84218 cents 5: 1 880.47581 cents 5: 1 891.77191 cents 5: 1 897.69422 cents 5: 1 980.54734 cents 6: 1 959.98779 cents 6: 1 983.56009 cents 6: 1 984.13287 cents 6: 1 1013.48982 cents 6: 1 1066.98599 cents 6: 1 1078.28209 cents 6: 1 1113.56135 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 : 186.5 319.5 406.0 621.8 861.8 1078.3 1200.0 186.5 : 133.0 219.5 435.3 675.3 891.8 1013.5 1200.0 319.5 : 86.4 302.3 542.3 758.8 880.5 1067.0 1200.0 406.0 : 215.9 455.9 672.3 794.0 980.5 1113.6 1200.0 621.8 : 240.0 456.5 578.2 764.7 897.7 984.1 1200.0 861.8 : 216.4 338.2 524.7 657.7 744.1 960.0 1200.0 1078.3: 121.7 308.2 441.2 527.7 743.5 983.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 86.4386 .. 240.0122 cents 153.57356 cents 86.43865 cents 2: 219.4527 .. 456.4521 cents 236.99946 cents -20.55954 cents 3: 405.9628 .. 672.3192 cents 266.35641 cents -50.48928 cents 4: 527.6808 .. 794.0372 cents 266.35641 cents -144.63850 cents 5: 743.5479 .. 980.5473 cents 236.99946 cents -50.48928 cents 6: 959.9878 .. 1113.5614 cents 153.57356 cents -20.55954 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 86.43865 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 240.01221 cents Average / Smallest step : 1.983240 Largest / Average step : 1.400071 Largest / Smallest step : 2.776677 Median interval of one step : 186.51018 cents, amount: 1 Least squares average step : 169.35479 cents, oct.: 1185.48352 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : DCAEGFB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.01275 cents Scale diversity : 1.629540 Lumma stability : 0.144064 Lumma impropriety factor : 0.238947 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 : 0.57278 cents Number of recognisable fifths : 0 Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 0 2 1 1 1 N T3 SD: 40.2291 c. M:-63.8843 c. 8: 1 1 1 1 2 1 1 P M ME S SD: 30.2038 c. M:-44.0372 c. 11: 2 1 1 2 2 2 1 N D3 SD: 21.8291 c. M:-32.7155 c. 12: 2 1 1 2 3 2 1 N SD: 20.7122 c. M:-38.1578 c. 15: 2 2 1 3 3 2 2 N SD: 20.2271 c. M: 38.2821 c. 18: 3 2 1 3 4 3 2 N SD: 12.2063 c. M: 21.8300 c. 21: 3 3 1 4 4 4 2 N SD: 11.5276 c. M:-23.3329 c. 27: 4 3 2 5 5 5 3 N SD: 9.4138 c. M: 17.3977 c. 33: 5 4 2 6 7 6 3 N SD: 7.6424 c. M:-12.6270 c. 38: 6 4 3 7 7 7 4 N SD: 5.9109 c. M:-9.7490 c. 39: 6 4 3 7 8 7 4 N SD: 5.6394 c. M: 11.8319 c. 50: 8 5 4 9 10 9 5 N SD: 3.8400 c. M: 7.5242 c. 56: 9 6 4 10 11 10 6 N SD: 4.0447 c. M: 6.8535 c. 60: 9 7 4 11 12 11 6 N SD: 3.5428 c. M: 6.5102 c. 70: 11 8 5 12 14 13 7 N SD: 4.1308 c. M:-6.1901 c. 71: 11 8 5 13 14 13 7 N SD: 1.9664 c. M:-3.5221 c. 110: 17 12 8 20 22 20 11 N SD: 1.6677 c. M: 3.1606 c. 116: 18 13 8 21 23 21 12 N SD: 1.9014 c. M: 3.2215 c. 121: 19 13 9 22 24 22 12 N SD: 1.9224 c. M:-2.9634 c. 127: 20 14 9 23 25 23 13 N SD: 1.5886 c. M:-2.4662 c. 135: 21 15 10 24 27 24 14 N SD: 1.5374 c. M:-2.9260 c. 139: 22 15 10 25 28 25 14 N SD: 1.4481 c. M:-3.4179 c. 160: 25 18 11 29 32 29 16 N SD: 1.4440 c. M:-2.9758 c. 166: 26 18 12 30 33 30 17 N SD: 1.1623 c. M: 1.6012 c. 187: 29 21 13 34 37 34 19 N SD: 1.1352 c. M: 1.9491 c. 195: 30 22 14 35 39 35 20 N SD: 0.9163 c. M: 1.8948 c. 237: 37 26 17 43 47 43 24 N SD: 0.7476 c. M: 1.0827 c. 245: 38 27 18 44 49 44 25 N SD: 0.5891 c. M: 1.1568 c. 316: 49 35 23 57 63 57 32 N SD: 0.4775 c. M:-0.9548 c. 334: 52 37 24 60 67 60 34 N SD: 0.2953 c. M: 0.4378 c. 405: 63 45 29 73 81 73 41 N SD: 0.2943 c. M:-0.4758 c. 571: 89 63 41 103 114 103 58 N SD: 0.2781 c. M:-0.5301 c. 650: 101 72 47 117 130 117 66 N SD: 0.1989 c. M:-0.3239 c. 739: 115 82 53 133 148 133 75 N SD: 0.2280 c. M:-0.4041 c. 766: 119 85 55 138 153 138 78 N SD: 0.2220 c. M: 0.4753 c. 830: 129 92 60 149 166 150 84 N SD: 0.1733 c. M:-0.3022 c. 984: 153 109 71 177 197 177 100 N SD: 0.1763 c. M:-0.3529 c. 1044: 162 116 75 188 209 188 106 N SD: 0.1711 c. M: 0.3033 c. 1055: 164 117 76 190 211 190 107 N SD: 0.1919 c. M:-0.3501 c. 1067: 166 118 77 192 213 193 108 N SD: 0.1911 c. M: 0.3614 c. 1075: 167 119 78 193 215 194 109 N SD: 0.1786 c. M:-0.3627 c. 1164: 181 129 84 209 233 210 118 N SD: 0.1188 c. M:-0.2227 c. 1235: 192 137 89 222 247 223 125 N SD: 0.1369 c. M:-0.2604 c. 1274: 198 141 92 229 255 230 129 N SD: 0.1301 c. M: 0.2149 c. 1401: 218 155 101 252 280 253 142 N SD: 0.1109 c. M:-0.2136 c. 1480: 230 164 107 266 296 267 150 N SD: 0.1099 c. M:-0.2534 c. 1498: 233 166 108 269 300 270 152 N SD: 0.1284 c. M: 0.2011 c. 1540: 239 171 111 277 308 278 156 N SD: 0.1222 c. M: 0.2764 c. 1558: 242 173 112 280 312 281 158 N SD: 0.1206 c. M: 0.2639 c. 1569: 244 174 113 282 314 283 159 N SD: 0.1131 c. M:-0.1699 c. 1596: 248 177 115 287 319 288 162 N SD: 0.0835 c. M: 0.1880 c. 1777: 276 197 128 320 355 321 180 N SD: 0.1247 c. M: 0.1652 c. 1795: 279 199 129 323 359 324 182 N SD: 0.0891 c. M: 0.1690 c. 1874: 291 208 135 337 375 338 190 N SD: 0.0746 c. M: 0.1708 c. 1912: 297 212 138 344 382 345 194 N SD: 0.0952 c. M:-0.1366 c. 1924: 299 213 139 346 385 347 195 N SD: 0.0946 c. M: 0.1895 c. 1930: 300 214 139 347 386 348 196 N SD: 0.0749 c. M: 0.1474 c. 2001: 311 222 144 360 400 361 203 N SD: 0.0584 c. M:-0.1160 c. 2040: 317 226 147 367 408 368 207 N SD: 0.0688 c. M: 0.1124 c. 2111: 328 234 152 380 422 381 214 N SD: 0.0623 c. M: 0.0888 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: 40.0625 cents 3 x x 4 x 5 x 6 S SD: 31.5984 cents 4 x x 5:6:7 x 8 S SD: 33.7746 cents 5 x 6 x 7:8:9:10 S SD: 17.3928 cents 6 x 7:8:9:10:11:12 S SD: 22.9824 cents 7:8 x 9:10:12:13:14 S SD: 14.8949 cents 8:9 x 10:11:13:15:16 SD: 13.1390 cents 9:10:11 x 13:15:17:18 SD: 7.5244 cents 13:14:16 x 19:21:24:26 SD: 14.4360 cents 14:16:17:18:20:23:26:28 SD: 8.0642 cents 15:17:18:19:21:25:28:30 SD: 7.8175 cents 16:18:19:20:23:26:30:32 SD: 6.0083 cents 19:21:23:24:27:31:35:38 SD: 4.7752 cents 25:28:30:32:36:41:47:50 SD: 4.2833 cents 26:29:31:33:37:43:48:52 SD: 3.9564 cents 30:33:36:38:43:49:56:60 SD: 3.6443 cents 34:38:41:43:49:56:63:68 SD: 2.4345 cents 44:49:53:56:63:72:82:88 SD: 2.1497 cents 45:50:54:57:64:74:84:90 SD: 1.9882 cents 53:59:64:67:76:87:99:106 SD: 1.2815 cents 60:67:72:76:86:99:112:120 SD: 1.2755 cents 79:88:95:100:113:130:147:158 SD: 0.6360 cents 132:147:159:167:189:217:246:264 SD: 0.4654 cents 167:186:201:211:239:275:311:334 SD: 0.4603 cents 178:198:214:225:255:293:332:356 SD: 0.3834 cents 192:214:231:243:275:316:358:384 SD: 0.3557 cents 257:286:309:325:368:423:479:514 SD: 0.2625 cents 310:345:373:392:444:510:578:620 SD: 0.2271 cents 326:363:392:412:467:536:608:652 SD: 0.2239 cents 370:412:445:468:530:609:690:740 SD: 0.2026 cents 405:451:487:512:580:666:755:810 SD: 0.1204 cents 553:616:665:699:792:910:1031:1106 SD: 0.0996 cents 597:665:718:755:855:982:1113:1194 SD: 0.0918 cents