Scala analysis: CD10_18_Egypt
Tihi ni Nak / In iri Gâr / Beklaos Gâr / Ocoti je anon / Afnoti / Fi at Afgor - 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: 77.757 cents 77.756671 2: 189.867 cents 189.867064 3: 269.998 cents 269.997809 4: 439.226 cents 439.226311 5: 476.902 cents 476.902162 6: 854.146 cents 854.146392 7: 994.217 cents 994.217354 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 205.7826 cents 205.7826 1: 77.7567 cents 77.7567 2: 112.1104 cents 112.1104 3: 80.1307 cents 80.1307 4: 169.2285 cents 169.2285 5: 37.6759 cents 37.6759 6: 377.2442 cents 377.2442 7: 140.0710 cents 140.0710 8: 205.7826 cents 205.7826
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 37.67585 cents 1: 1 77.75667 cents 1: 1 80.13074 cents 1: 1 112.11039 cents 1: 1 140.07096 cents 1: 1 169.22850 cents 1: 1 205.78265 cents 1: 1 377.24423 cents 2: 1 189.86706 cents 2: 1 192.24114 cents 2: 1 206.90435 cents 2: 1 249.35925 cents 2: 1 283.53932 cents 2: 1 345.85361 cents 2: 1 414.92008 cents 2: 1 517.31519 cents 3: 1 269.99781 cents 3: 1 287.03510 cents 3: 1 361.46964 cents 3: 1 395.64971 cents 3: 1 423.61028 cents 3: 1 554.99104 cents 3: 1 584.14858 cents 3: 1 723.09784 cents 4: 1 399.14549 cents 4: 1 439.22631 cents 4: 1 475.78046 cents 4: 1 535.72067 cents 4: 1 664.27933 cents 4: 1 724.21954 cents 4: 1 760.77369 cents 4: 1 800.85451 cents 5: 1 476.90216 cents 5: 1 615.85142 cents 5: 1 645.00896 cents 5: 1 776.38972 cents 5: 1 804.35029 cents 5: 1 838.53036 cents 5: 1 912.96490 cents 5: 1 930.00219 cents 6: 1 682.68481 cents 6: 1 785.07992 cents 6: 1 854.14639 cents 6: 1 916.46068 cents 6: 1 950.64075 cents 6: 1 993.09565 cents 6: 1 1007.75886 cents 6: 1 1010.13294 cents 7: 1 822.75577 cents 7: 1 994.21735 cents 7: 1 1030.77150 cents 7: 1 1059.92904 cents 7: 1 1087.88961 cents 7: 1 1119.86926 cents 7: 1 1122.24333 cents 7: 1 1162.32415 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 : 77.8 189.9 270.0 439.2 476.9 854.1 994.2 1200.0 77.8 : 112.1 192.2 361.5 399.1 776.4 916.5 1122.2 1200.0 189.9 : 80.1 249.4 287.0 664.3 804.4 1010.1 1087.9 1200.0 270.0 : 169.2 206.9 584.1 724.2 930.0 1007.8 1119.9 1200.0 439.2 : 37.7 414.9 555.0 760.8 838.5 950.6 1030.8 1200.0 476.9 : 377.2 517.3 723.1 800.9 913.0 993.1 1162.3 1200.0 854.1 : 140.1 345.9 423.6 535.7 615.9 785.1 822.8 1200.0 994.2 : 205.8 283.5 395.6 475.8 645.0 682.7 1059.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 37.6759 .. 377.2442 cents 339.56838 cents 37.67585 cents 2: 189.8671 .. 517.3152 cents 327.44813 cents -187.37717 cents 3: 269.9978 .. 723.0978 cents 453.10003 cents -247.31738 cents 4: 399.1455 .. 800.8545 cents 401.70902 cents -323.95235 cents 5: 476.9022 .. 930.0022 cents 453.10003 cents -323.95235 cents 6: 682.6848 .. 1010.1329 cents 327.44813 cents -247.31738 cents 7: 822.7558 .. 1162.3241 cents 339.56838 cents -187.37717 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 37.67585 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 377.24423 cents Average / Smallest step : 3.981330 Largest / Average step : 2.514962 Largest / Smallest step : 10.012892 Median interval of one step : 126.09068 cents, amount: 0 Least squares average step : 132.81029 cents, oct.: 1062.48236 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : BDCFAHEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.12171 cents Scale diversity : 1.757396 Lumma stability : 0.062793 Lumma impropriety factor : 0.683555 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 : 1.12171 cents Number of recognisable fifths : 0 Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 0 1 1 0 3 1 1 N SD: 41.4769 c. M:-72.2433 c. 10: 1 1 0 2 0 3 1 2 N SD: 32.0950 c. M:-50.1329 c. 11: 1 1 0 2 0 4 1 2 N SD: 28.7642 c. M: 51.8160 c. 12: 1 1 1 2 0 4 1 2 N SD: 31.3459 c. M:-60.7737 c. 13: 1 1 1 2 0 4 2 2 N SD: 15.8733 c. M: 23.3772 c. 17: 1 2 1 2 1 5 2 3 N SD: 12.8078 c. M:-21.8976 c. 18: 1 2 1 3 0 6 2 3 N SD: 12.6723 c. M:-27.4404 c. 25: 2 2 2 3 1 8 3 4 N SD: 11.2379 c. M:-18.2433 c. 27: 2 2 2 4 1 8 3 5 N SD: 10.1024 c. M: 16.4396 c. 28: 2 2 2 4 1 9 3 5 N SD: 9.9582 c. M: 18.4385 c. 30: 2 3 2 4 1 9 4 5 N SD: 7.5126 c. M: 14.1464 c. 31: 2 3 2 4 1 10 4 5 N SD: 7.9389 c. M: 13.4199 c. 35: 2 4 2 5 1 11 4 6 N SD: 7.1986 c. M:-15.8472 c. 36: 2 4 2 5 1 12 4 6 N SD: 8.4146 c. M:-12.5203 c. 43: 3 4 3 6 1 14 5 7 N SD: 7.3855 c. M:-10.9699 c. 45: 3 4 3 6 2 14 5 8 N SD: 5.6057 c. M: 12.5596 c. 46: 3 4 3 7 1 15 5 8 N SD: 5.7212 c. M: 9.1282 c. 52: 3 5 4 7 2 16 6 9 N SD: 5.1484 c. M: 8.5259 c. 57: 4 5 4 8 2 18 6 10 N SD: 5.2536 c. M:-9.0115 c. 58: 4 5 4 8 2 18 7 10 N SD: 3.5137 c. M: 5.8705 c. 63: 4 6 4 9 2 20 7 11 N SD: 2.1989 c. M: 3.7412 c. 76: 5 7 5 11 2 24 9 13 N SD: 1.7772 c. M: 3.2180 c. 93: 6 9 6 13 3 29 11 16 N SD: 1.6586 c. M:-3.6813 c. 121: 8 11 8 17 4 38 14 21 N SD: 1.8104 c. M: 2.8627 c. 128: 8 12 9 18 4 40 15 22 N SD: 1.6370 c. M: 2.7567 c. 139: 9 13 9 20 4 44 16 24 N SD: 1.2927 c. M: 2.3719 c. 156: 10 15 10 22 5 49 18 27 N SD: 1.2022 c. M:-2.4406 c. 159: 10 15 11 22 5 50 19 27 N SD: 1.5636 c. M: 2.2850 c. 164: 11 15 11 23 5 52 19 28 N SD: 1.3452 c. M:-2.7311 c. 169: 11 16 11 24 5 53 20 29 N SD: 1.1330 c. M: 2.0754 c. 188: 12 18 12 27 6 59 22 32 N SD: 1.4187 c. M: 1.9127 c. 191: 12 18 13 27 6 60 22 33 N SD: 1.1554 c. M: 2.3640 c. 197: 13 18 13 28 6 62 23 34 N SD: 1.3317 c. M: 1.9775 c. 204: 13 19 14 29 6 64 24 35 N SD: 1.1246 c. M:-1.9502 c. 214: 14 20 14 30 7 67 25 37 N SD: 1.1988 c. M: 1.8431 c. 216: 14 20 15 30 7 68 25 37 N SD: 1.0502 c. M:-2.2244 c. 221: 14 21 15 31 7 69 26 38 N SD: 1.0927 c. M: 1.7386 c. 222: 14 21 15 31 7 70 26 38 N SD: 1.0276 c. M: 2.0810 c. 232: 15 22 15 33 7 73 27 40 N SD: 0.8927 c. M:-1.5122 c. 246: 16 23 16 35 8 77 29 42 N SD: 0.8327 c. M: 1.7051 c. 249: 16 23 17 35 8 78 29 43 N SD: 0.9984 c. M: 1.9153 c. 257: 17 24 17 36 8 81 30 44 N SD: 0.9012 c. M:-1.6208 c. 267: 17 25 18 38 8 84 31 46 N SD: 0.8563 c. M: 1.3522 c. 279: 18 26 19 39 9 88 32 48 N SD: 0.8325 c. M:-1.7676 c. 284: 18 27 19 40 9 89 33 49 N SD: 0.8280 c. M: 1.7003 c. 292: 19 27 20 41 9 92 34 50 N SD: 0.6236 c. M:-1.2351 c. 355: 23 33 24 50 11 112 41 61 N SD: 0.4920 c. M:-1.0649 c. 368: 24 34 25 52 11 116 43 63 N SD: 0.6158 c. M:-0.9911 c. 372: 24 35 25 52 12 117 43 64 N SD: 0.5834 c. M:-0.9699 c. 385: 25 36 26 54 12 121 45 66 N SD: 0.4404 c. M:-1.1710 c. 431: 28 40 29 61 13 136 50 74 N SD: 0.4842 c. M: 0.8001 c. 448: 29 42 30 63 14 141 52 77 N SD: 0.3019 c. M:-0.5379 c. 538: 35 50 36 76 17 169 63 92 N SD: 0.3051 c. M:-0.5782 c. 601: 39 56 40 85 19 189 70 103 N SD: 0.2597 c. M: 0.4471 c. 631: 41 59 42 89 20 198 74 108 N SD: 0.2654 c. M:-0.4354 c. 694: 45 65 46 98 22 218 81 119 N SD: 0.1914 c. M:-0.3347 c. 986: 64 92 66 139 31 310 115 169 N SD: 0.1395 c. M:-0.2147 c. 1218: 79 114 81 172 38 383 142 209 N SD: 0.1329 c. M:-0.2807 c. 1377: 89 129 92 194 43 433 161 236 N SD: 0.1361 c. M: 0.2137 c. 1440: 93 135 96 203 45 453 168 247 N SD: 0.1349 c. M: 0.2567 c. 1530: 99 143 102 216 48 481 179 262 N SD: 0.1330 c. M:-0.2924 c. 1631: 106 152 109 230 51 513 190 280 N SD: 0.1274 c. M:-0.2323 c. 1680: 109 157 112 237 53 528 196 288 N SD: 0.1190 c. M:-0.2407 c. 1756: 114 164 117 248 55 552 205 301 N SD: 0.1071 c. M:-0.1814 c. 1819: 118 170 121 257 57 572 212 312 N SD: 0.1169 c. M: 0.1792 c. 1839: 119 172 123 259 58 578 215 315 N SD: 0.1143 c. M:-0.2362 c. 1885: 122 176 126 266 59 593 220 323 N SD: 0.1143 c. M:-0.1772 c. 1902: 123 178 127 268 60 598 222 326 N SD: 0.0913 c. M: 0.1541 c. 1978: 128 185 132 279 62 622 231 339 N SD: 0.0632 c. M:-0.1204 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x 4 S SD: 76.0957 cents 3 x x x x 4:5 x 6 S SD: 12.2918 cents 4 x x x 5 x x 7:8 SD: 19.5632 cents 5 x x 6 x 7:8:9:10 S SD: 24.8358 cents 6 x x 7 x 8:10:11:12 S SD: 13.2825 cents 7 x x 8:9 x 11:12:14 SD: 20.3868 cents 8 x 9 x 10:11:13:14:16 SD: 16.1287 cents 9 x 10:11 x 12:15:16:18 S SD: 14.3482 cents 10 x 11:12:13 x 16:18:20 SD: 11.9137 cents 11 x 12:13:14 x 18:20:22 SD: 10.6001 cents 12 x 13:14:15:16:20:21:24 S SD: 12.3265 cents 13:14 x 15 x 17:21:23:26 SD: 10.2986 cents 14:15 x 16:18 x 23:25:28 SD: 9.6927 cents 16:17:18:19 x 21:26:28:32 SD: 7.2305 cents 17:18:19:20:22 x 28:30:34 SD: 4.1650 cents 20:21:22:23:26 x 33:36:40 SD: 6.9761 cents 22:23:25:26:28:29:36:39:44 SD: 5.3672 cents 23:24:26:27 x 30:38:41:46 SD: 4.8070 cents 24:25:27:28:31:32:39:43:48 SD: 4.2205 cents 25:26:28:29:32:33:41:44:50 SD: 3.3268 cents 26:27:29:30 x 34:43:46:52 SD: 4.8053 cents 28:29:31:33:36:37:46:50:56 SD: 3.6511 cents 33:35:37:39 x 43:54:59:66 SD: 5.5414 cents 34:36:38:40:44:45:56:60:68 SD: 3.7915 cents 35:37:39:41:45:46:57:62:70 SD: 2.8188 cents 41:43:46:48:53:54:67:73:82 SD: 1.6797 cents 63:66:70:74:81:83:103:112:126 SD: 1.6197 cents 66:69:74:77:85:87:108:117:132 SD: 1.2042 cents 88:92:98:103:113:116:144:156:176 SD: 1.0675 cents 89:93:99:104:115:117:146:158:178 SD: 1.0644 cents 94:98:105:110:121:124:154:167:188 SD: 0.8930 cents 107:112:119:125:138:141:175:190:214 SD: 0.8365 cents 111:116:124:130:143:146:182:197:222 SD: 0.6763 cents 129:135:144:151:166:170:211:229:258 SD: 0.5810 cents 155:162:173:181:200:204:254:275:310 SD: 0.4611 cents 173:181:193:202:223:228:283:307:346 SD: 0.4052 cents 215:225:240:251:277:283:352:382:430 SD: 0.3524 cents 218:228:243:255:281:287:357:387:436 SD: 0.3269 cents 259:271:289:303:334:341:424:460:518 SD: 0.2918 cents 284:297:317:332:366:374:465:504:568 SD: 0.1848 cents 433:453:483:506:558:570:709:769:866 SD: 0.1732 cents 499:522:557:583:643:657:817:886:998 SD: 0.1639 cents 527:551:588:616:679:694:863:936:1054 SD: 0.1258 cents