Scala analysis: CD04_18_saba_Egypt
Suite - Dâwûd Khudr Husnî (saba, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 153.190 cents 153.189582 2: 299.839 cents 299.839486 3: 403.242 cents 403.242337 4: 703.448 cents 703.447955 5: 783.310 cents 783.309735 6: 998.572 cents 998.571613 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 201.4284 cents 201.4284 1: 153.1896 cents 153.1896 2: 146.6499 cents 146.6499 3: 103.4029 cents 103.4029 4: 300.2056 cents 300.2056 5: 79.8618 cents 79.8618 6: 215.2619 cents 215.2619 7: 201.4284 cents 201.4284
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 79.86178 cents 1: 1 103.40285 cents 1: 1 146.64990 cents 1: 1 153.18958 cents 1: 1 201.42839 cents 1: 1 215.26188 cents 1: 1 300.20562 cents 2: 1 250.05276 cents 2: 1 295.12366 cents 2: 1 299.83949 cents 2: 1 354.61797 cents 2: 1 380.06740 cents 2: 1 403.60847 cents 2: 1 416.69026 cents 3: 1 403.24234 cents 3: 1 483.47025 cents 3: 1 496.55204 cents 3: 1 501.26787 cents 3: 1 550.25837 cents 3: 1 569.87985 cents 3: 1 595.32928 cents 4: 1 604.67072 cents 4: 1 630.12015 cents 4: 1 649.74163 cents 4: 1 698.73213 cents 4: 1 703.44796 cents 4: 1 716.52975 cents 4: 1 796.75766 cents 5: 1 783.30974 cents 5: 1 796.39153 cents 5: 1 819.93260 cents 5: 1 845.38203 cents 5: 1 900.16051 cents 5: 1 904.87634 cents 5: 1 949.94724 cents 6: 1 899.79438 cents 6: 1 984.73812 cents 6: 1 998.57161 cents 6: 1 1046.81042 cents 6: 1 1053.35010 cents 6: 1 1096.59715 cents 6: 1 1120.13822 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 : 153.2 299.8 403.2 703.4 783.3 998.6 1200.0 153.2 : 146.6 250.1 550.3 630.1 845.4 1046.8 1200.0 299.8 : 103.4 403.6 483.5 698.7 900.2 1053.4 1200.0 403.2 : 300.2 380.1 595.3 796.8 949.9 1096.6 1200.0 703.4 : 79.9 295.1 496.6 649.7 796.4 899.8 1200.0 783.3 : 215.3 416.7 569.9 716.5 819.9 1120.1 1200.0 998.6 : 201.4 354.6 501.3 604.7 904.9 984.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 79.8618 .. 300.2056 cents 220.34384 cents 79.86178 cents 2: 250.0528 .. 416.6903 cents 166.63751 cents -50.15286 cents 3: 403.2423 .. 595.3293 cents 192.08694 cents -13.44793 cents 4: 604.6707 .. 796.7577 cents 192.08694 cents 9.34145 cents 5: 783.3097 .. 949.9472 cents 166.63751 cents -13.44793 cents 6: 899.7944 .. 1120.1382 cents 220.34384 cents -50.15286 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 79.86178 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 300.20562 cents Average / Smallest step : 2.146566 Largest / Average step : 1.751199 Largest / Smallest step : 3.759065 Median interval of one step : 153.18958 cents, amount: 1 Least squares average step : 164.88833 cents, oct.: 1154.21829 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : DCBGAFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.36613 cents Scale diversity : 1.685940 Lumma stability : 0.140888 Lumma impropriety factor : 0.106001 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 : 0.36613 cents Number of recognisable fifths : 3, average 706.2366 cents Number of appreciable fifths : 2, average 701.0900 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 0 2 1 1 1 N T3 SD: 42.2499 c. M:-73.8331 c. 8: 1 1 1 2 0 2 1 P D3 S SD: 34.0546 c. M:-51.4284 c. 9: 1 1 1 2 1 1 2 P M ME S SD: 32.4976 c. M: 65.2383 c. 12: 2 1 1 3 1 2 2 N T3 SD: 18.8765 c. M:-46.8104 c. Sabach (Sambah) ascending: Greece 14: 2 2 1 3 1 3 2 P T3 SD: 24.4376 c. M:-43.0177 c. 15: 2 2 1 4 1 3 2 N SD: 19.7563 c. M:-41.4284 c. 16: 2 2 1 4 1 3 3 N SD: 21.6540 c. M: 33.3097 c. 17: 2 2 2 4 1 3 3 P SD: 12.0783 c. M:-20.2871 c. 24: 3 3 2 6 2 4 4 N SD: 6.6891 c. M:-16.6903 c. Maqam Saba 29: 4 3 3 7 2 5 5 N SD: 7.6092 c. M:-12.3277 c. 32: 4 4 3 8 2 6 5 N SD: 7.4585 c. M:-13.9284 c. 40: 5 5 3 10 3 7 7 N SD: 8.0253 c. M: 13.4480 c. 41: 5 5 4 10 3 7 7 N SD: 5.3658 c. M: 7.1566 c. 48: 6 6 4 12 3 9 8 N SD: 3.8488 c. M: 8.3097 c. 60: 8 7 5 15 4 11 10 N SD: 3.4185 c. M:-6.8104 c. 71: 9 9 6 18 4 13 12 N SD: 3.8417 c. M:-6.4112 c. 72: 9 9 6 18 5 13 12 N SD: 2.2246 c. M: 3.4480 c. 95: 12 12 8 24 6 17 16 N SD: 2.0838 c. M:-3.9205 c. 101: 13 12 9 25 7 18 17 N SD: 1.5620 c. M: 2.8098 c. 148: 19 18 13 37 10 26 25 N SD: 1.7320 c. M:-3.1768 c. 149: 19 18 13 37 10 27 25 N SD: 1.5075 c. M: 2.7768 c. 155: 20 19 13 39 10 28 26 N SD: 1.2305 c. M:-2.0960 c. 167: 21 21 14 42 11 30 28 N SD: 1.2195 c. M: 2.2914 c. 172: 22 21 15 43 11 31 29 N SD: 1.0702 c. M: 1.9144 c. 179: 23 22 15 45 12 32 30 N SD: 0.9854 c. M:-1.8365 c. 196: 25 24 17 49 13 35 33 N SD: 0.4863 c. M:-0.8393 c. 268: 34 33 23 67 18 48 45 N SD: 0.4290 c. M: 0.9508 c. 345: 44 42 30 86 23 62 58 N SD: 0.5172 c. M: 0.8393 c. 369: 47 45 32 92 25 66 62 N SD: 0.5051 c. M: 1.0089 c. 423: 54 52 36 106 28 76 71 N SD: 0.3855 c. M:-0.8697 c. 440: 56 54 38 110 29 79 74 N SD: 0.3628 c. M: 0.5825 c. 452: 58 55 39 113 30 81 76 N SD: 0.3552 c. M:-0.7927 c. 464: 59 57 40 116 31 83 78 N SD: 0.2967 c. M: 0.6034 c. 524: 67 64 45 131 35 94 88 N SD: 0.2063 c. M: 0.3945 c. 720: 92 88 62 180 48 129 121 N SD: 0.1337 c. M: 0.2383 c. 988: 126 121 85 247 66 177 166 N SD: 0.1403 c. M: 0.2091 c. 1080: 138 132 93 270 72 194 181 N SD: 0.1554 c. M:-0.3173 c. 1184: 151 145 102 296 79 212 199 N SD: 0.1502 c. M: 0.2608 c. 1244: 159 152 107 311 83 223 209 N SD: 0.1456 c. M: 0.2325 c. 1276: 163 156 110 319 85 229 214 N SD: 0.1280 c. M:-0.2059 c. 1489: 190 182 128 373 99 267 250 N SD: 0.1223 c. M: 0.2873 c. 1520: 194 186 131 380 101 273 255 N SD: 0.1166 c. M:-0.1787 c. 1544: 197 189 133 386 103 277 259 N SD: 0.1097 c. M:-0.1605 c. 1685: 215 206 145 422 112 302 283 N SD: 0.1058 c. M:-0.1722 c. 1786: 228 218 154 447 119 320 300 N SD: 0.1041 c. M: 0.1754 c. 1834: 234 224 158 459 122 329 308 N SD: 0.1165 c. M: 0.1889 c. 1866: 238 228 161 467 124 335 313 N SD: 0.1028 c. M: 0.1610 c. 1929: 246 236 166 483 128 346 324 N SD: 0.1109 c. M: 0.1569 c. 1941: 248 237 167 486 129 348 326 N SD: 0.0970 c. M: 0.1511 c. 2030: 259 248 175 508 135 364 341 N SD: 0.0918 c. M: 0.1480 c. 2045: 261 250 176 512 136 367 343 N SD: 0.0908 c. M:-0.1570 c. 2054: 262 251 177 514 137 368 345 N SD: 0.1105 c. M:-0.1372 c. 2062: 263 252 178 516 137 370 346 N SD: 0.0948 c. M:-0.1408 c. 2068: 264 253 178 517 138 371 347 N SD: 0.0941 c. M:-0.1605 c. 2122: 271 259 183 531 141 381 356 N SD: 0.0766 c. M: 0.1222 c. 2289: 292 280 197 573 152 411 384 N SD: 0.0859 c. M:-0.1178 c. 2318: 296 283 200 580 154 416 389 N SD: 0.0607 c. M: 0.0983 c. 2390: 305 292 206 598 159 429 401 N SD: 0.0600 c. M: 0.0905 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: 0.7465 cents 3 x x 4 x 5 x 6 S SD: 46.1861 cents 4 x x 5:6 x 7:8 S SD: 8.5645 cents 5 x 6 x x 8:9:10 S SD: 9.7928 cents 6 x 7:8:9 x 11:12 SD: 22.5002 cents 7 x 8:9 x 11:12:14 SD: 20.0122 cents 8:9 x 10:12:13:14:16 S SD: 13.9643 cents 9:10:11 x x 14:16:18 SD: 11.7656 cents 10:11:12:13:15:16:18:20 SD: 9.3397 cents 11:12:13:14 x 17:20:22 SD: 8.3835 cents 12:13:14:15:18:19:21:24 SD: 7.3182 cents 13:14:15:16 x 20:23:26 SD: 13.7182 cents 14:15:17:18:21:22:25:28 SD: 8.4515 cents 18:20:21:23:27:28:32:36 SD: 7.4686 cents 19:21:23:24:29:30:34:38 SD: 6.8717 cents 20:22:24:25:30:31:36:40 SD: 5.7934 cents 22:24:26:28:33:35:39:44 SD: 4.0427 cents 30:33:36:38:45:47:53:60 SD: 3.6204 cents 31:34:37:39:47:49:55:62 SD: 3.2976 cents 32:35:38:40:48:50:57:64 SD: 2.9030 cents 42:46:50:53:63:66:75:84 SD: 1.0407 cents 96:105:114:121:144:151:171:192 SD: 0.6306 cents 138:151:164:174:207:217:246:276 SD: 0.6249 cents 142:155:169:179:213:223:253:284 SD: 0.6050 cents 152:166:181:192:228:239:271:304 SD: 0.5791 cents 163:178:194:206:245:256:290:326 SD: 0.5741 cents 164:179:195:207:246:258:292:328 SD: 0.3583 cents 206:225:245:260:309:324:367:412 SD: 0.3032 cents 259:283:308:327:389:407:461:518 SD: 0.1788 cents 355:388:422:448:533:558:632:710 SD: 0.1503 cents 423:462:503:534:635:665:753:846 SD: 0.0839 cents 465:508:553:587:698:731:828:930 SD: 0.0707 cents