Scala analysis: CD09_08_Egypt
Suite - La Confrérie Laythiyya (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 136.319 cents 136.318731 2: 333.997 cents 333.996711 3: 465.408 cents 465.408443 4: 700.339 cents 700.339100 5: 823.755 cents 823.754914 6: 967.695 cents 967.695386 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 232.3046 cents 232.3046 1: 136.3187 cents 136.3187 2: 197.6780 cents 197.6780 3: 131.4117 cents 131.4117 4: 234.9307 cents 234.9307 5: 123.4158 cents 123.4158 6: 143.9405 cents 143.9405 7: 232.3046 cents 232.3046
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 123.41581 cents 1: 1 131.41173 cents 1: 1 136.31873 cents 1: 1 143.94047 cents 1: 1 197.67798 cents 1: 1 232.30461 cents 1: 1 234.93066 cents 2: 1 267.35629 cents 2: 1 329.08971 cents 2: 1 333.99671 cents 2: 1 358.34647 cents 2: 1 366.34239 cents 2: 1 368.62334 cents 2: 1 376.24509 cents 3: 1 465.40844 cents 3: 1 489.75820 cents 3: 1 499.66090 cents 3: 1 502.28694 cents 3: 1 512.56382 cents 3: 1 564.02037 cents 3: 1 566.30133 cents 4: 1 633.69867 cents 4: 1 635.97963 cents 4: 1 687.43618 cents 4: 1 697.71306 cents 4: 1 700.33910 cents 4: 1 710.24180 cents 4: 1 734.59156 cents 5: 1 823.75491 cents 5: 1 831.37665 cents 5: 1 833.65761 cents 5: 1 841.65353 cents 5: 1 866.00329 cents 5: 1 870.91029 cents 5: 1 932.64371 cents 6: 1 965.06934 cents 6: 1 967.69539 cents 6: 1 1002.32202 cents 6: 1 1056.05953 cents 6: 1 1063.68127 cents 6: 1 1068.58827 cents 6: 1 1076.58419 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 : 136.3 334.0 465.4 700.3 823.8 967.7 1200.0 136.3 : 197.7 329.1 564.0 687.4 831.4 1063.7 1200.0 334.0 : 131.4 366.3 489.8 633.7 866.0 1002.3 1200.0 465.4 : 234.9 358.3 502.3 734.6 870.9 1068.6 1200.0 700.3 : 123.4 267.4 499.7 636.0 833.7 965.1 1200.0 823.8 : 143.9 376.2 512.6 710.2 841.7 1076.6 1200.0 967.7 : 232.3 368.6 566.3 697.7 932.6 1056.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 123.4158 .. 234.9307 cents 111.51484 cents 123.41581 cents 2: 267.3563 .. 376.2451 cents 108.88880 cents 32.42563 cents 3: 465.4084 .. 566.3013 cents 100.89288 cents 89.16336 cents 4: 633.6987 .. 734.5916 cents 100.89288 cents 67.39735 cents 5: 823.7549 .. 932.6437 cents 108.88880 cents 89.16336 cents 6: 965.0693 .. 1076.5842 cents 111.51484 cents 32.42563 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 123.41581 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 234.93066 cents Average / Smallest step : 1.389032 Largest / Average step : 1.370429 Largest / Smallest step : 1.903570 Median interval of one step : 143.94047 cents, amount: 1 Least squares average step : 166.62029 cents, oct.: 1166.34204 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CEBGADF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 32.42563 cents Scale diversity : 1.501598 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.464506 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 : 2.28096 cents Number of recognisable fifths : 4, average 698.9325 cents Number of appreciable fifths : 3, average 702.7647 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 108.8888 cents: 3 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 35.3245 c. M:-60.8760 c. Lebeng 9: 1 1 1 2 1 1 2 P M ME S SD: 40.8820 c. M: 67.3300 c. 10: 1 2 1 2 1 1 2 P M ME S SD: 16.3229 c. M:-26.0033 c. 15: 2 2 2 3 1 2 3 P D3 SD: 16.8170 c. M: 23.7549 c. 17: 2 3 2 3 2 2 3 SP M ME S SD: 17.7378 c. M:-28.7092 c. 19: 2 3 2 4 2 2 4 P T3 S SD: 14.2752 c. M: 23.3032 c. 21: 2 4 2 4 2 3 4 SP T3 SD: 14.2648 c. M: 23.7549 c. 25: 3 4 3 5 2 3 5 P SD: 10.5684 c. M:-19.6609 c. 26: 3 4 3 5 3 3 5 SP T3 S SD: 6.0341 c. M: 10.9198 c. 36: 4 6 4 7 4 4 7 SP T3 S SD: 3.8518 c. M:-9.5784 c. 51: 6 8 6 10 5 6 10 SP SD: 3.9851 c. M:-5.5433 c. 61: 7 10 7 12 6 7 12 SP SD: 4.2980 c. M:-7.8576 c. 62: 7 10 7 12 6 8 12 SP SD: 4.7300 c. M: 10.8517 c. 64: 7 11 7 12 7 8 12 SP SD: 4.5897 c. M:-7.3046 c. 67: 8 11 7 13 7 8 13 SP SD: 3.6242 c. M:-6.9649 c. 72: 8 12 8 14 7 9 14 SP SD: 2.9845 c. M: 7.0882 c. 79: 9 13 9 15 8 10 15 SP SD: 3.0446 c. M:-5.4776 c. 82: 9 14 9 16 8 10 16 SP SD: 2.9782 c. M: 4.6114 c. 87: 10 14 10 17 9 10 17 SP SD: 2.7547 c. M:-3.8313 c. 93: 11 15 10 18 10 11 18 SP SD: 2.7118 c. M:-5.6168 c. 96: 11 16 10 19 10 11 19 SP SD: 2.6935 c. M: 5.1954 c. 98: 11 16 11 19 10 12 19 SP SD: 2.1075 c. M: 3.3845 c. 108: 12 18 12 21 11 13 21 SP SD: 1.4372 c. M: 2.9854 c. 134: 15 22 15 26 14 16 26 SP SD: 1.4503 c. M: 2.6534 c. 140: 16 23 15 28 14 17 27 SP SD: 1.4729 c. M: 2.5513 c. 144: 16 24 16 28 15 17 28 SP SD: 1.3969 c. M: 2.9854 c. 159: 18 26 18 31 16 19 31 SP SD: 1.5411 c. M:-2.5161 c. 165: 19 27 18 32 17 20 32 SP SD: 1.3287 c. M: 2.1573 c. 175: 20 29 19 34 18 21 34 SP SD: 1.0556 c. M:-2.0033 c. 176: 20 29 19 35 18 21 34 SP SD: 1.1134 c. M:-1.9336 c. 201: 23 33 22 39 21 24 39 SP SD: 0.8299 c. M: 1.8316 c. 211: 24 35 23 41 22 25 41 SP SD: 0.8885 c. M:-1.5483 c. 248: 28 41 27 49 25 30 48 SP SD: 0.8029 c. M:-1.2738 c. 255: 29 42 28 50 26 31 49 SP SD: 0.7522 c. M:-1.7164 c. 274: 31 45 30 54 28 33 53 SP SD: 0.6922 c. M: 1.1749 c. 283: 32 47 31 55 29 34 55 SP SD: 0.8471 c. M: 1.1401 c. 284: 32 47 31 56 29 34 55 SP SD: 0.6364 c. M: 1.1075 c. 291: 33 48 32 57 30 35 56 SP SD: 0.7301 c. M:-1.3768 c. 309: 35 51 34 60 32 37 60 SP SD: 0.6492 c. M: 1.3100 c. 310: 35 51 34 61 32 37 60 SP SD: 0.6933 c. M: 1.0935 c. 319: 36 53 35 62 33 38 62 SP SD: 0.7394 c. M:-1.0492 c. 341: 39 56 37 67 35 41 66 SP SD: 0.5128 c. M:-0.9247 c. 351: 40 58 38 69 36 42 68 SP SD: 0.5089 c. M:-1.0460 c. 363: 41 60 40 71 37 44 70 SP SD: 0.6033 c. M:-0.8997 c. 377: 43 62 41 74 39 45 73 SP SD: 0.4232 c. M: 0.6870 c. 449: 51 74 49 88 46 54 87 SP SD: 0.2820 c. M: 0.5923 c. 475: 54 78 52 93 49 57 92 SP SD: 0.3687 c. M: 0.5663 c. 485: 55 80 53 95 50 58 94 SP SD: 0.1849 c. M: 0.2727 c. 740: 84 122 81 145 76 89 143 SP SD: 0.1795 c. M:-0.4127 c. 934: 106 154 102 183 96 112 181 SP SD: 0.1820 c. M: 0.3121 c. 941: 107 155 103 184 97 113 182 SP SD: 0.1388 c. M: 0.2328 c. 1189: 135 196 130 233 122 143 230 SP SD: 0.1253 c. M: 0.2057 c. 1225: 139 202 134 240 126 147 237 SP SD: 0.0986 c. M: 0.1555 c. 1426: 162 235 156 279 147 171 276 SP SD: 0.0920 c. M: 0.1988 c. 1477: 168 243 162 289 152 177 286 SP SD: 0.0944 c. M:-0.1742 c. 1674: 190 276 183 328 172 201 324 SP SD: 0.0925 c. M: 0.1755 c. 1725: 196 284 189 338 177 207 334 SP SD: 0.0878 c. M:-0.1826 c. 1761: 200 290 193 345 181 211 341 SP SD: 0.0869 c. M:-0.1720 c. 1875: 213 309 205 367 193 225 363 SP SD: 0.0936 c. M: 0.1791 c. 1926: 219 317 211 377 198 231 373 SP SD: 0.0702 c. M:-0.1299 c. 1962: 223 323 215 384 202 235 380 SP SD: 0.0680 c. M: 0.1113 c. 2217: 252 365 243 434 228 266 429 SP SD: 0.0687 c. M:-0.0989 c. 2325: 264 383 255 455 239 279 450 SP SD: 0.0672 c. M:-0.1399 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: 0.8080 cents 3 x x 4 x 5 x 6 S SD: 22.9443 cents 4 x 5 x 6 x 7:8 S SD: 13.0885 cents 5 x 6:7 x 8:9:10 S SD: 25.8005 cents 6 x 7:8:9:10:11:12 S SD: 21.0265 cents 7:8 x 9 x 11:12:14 SD: 22.6403 cents 8:9:10 x 12:13:14:16 S SD: 14.5209 cents 10:11:12:13:15:16:17:20 SD: 8.8009 cents 13:14:16:17:19:21:23:26 SD: 7.8742 cents 16:17:19:21:24:26:28:32 SD: 7.3245 cents 20:22:24:26:30:32:35:40 SD: 5.3268 cents 23:25:28:30:34:37:40:46 SD: 4.0159 cents 28:30:34:37:42:45:49:56 SD: 3.4745 cents 36:39:44:47:54:58:63:72 SD: 2.0554 cents 48:52:58:63:72:77:84:96 SD: 1.4945 cents 62:67:75:81:93:100:108:124 SD: 1.3950 cents 71:77:86:93:106:114:124:142 SD: 1.3508 cents 72:78:87:94:108:116:126:144 SD: 1.1762 cents 84:91:102:110:126:135:147:168 SD: 0.6571 cents 123:133:149:161:184:198:215:246 SD: 0.5711 cents 136:147:165:178:204:219:238:272 SD: 0.4142 cents 159:172:193:208:238:256:278:318 SD: 0.3854 cents 207:224:251:271:310:333:362:414 SD: 0.2490 cents 305:330:370:399:457:491:533:610 SD: 0.2207 cents 315:341:382:412:472:507:551:630 SD: 0.1823 cents 343:371:416:449:514:552:600:686 SD: 0.1451 cents 451:488:547:590:676:726:789:902 SD: 0.1274 cents 489:529:593:640:733:787:855:978 SD: 0.1141 cents 574:621:696:751:860:924:1004:1148 SD: 0.1083 cents