Scala analysis: CD04_04_bayati_Egypt
Suite - Dâwûd Khudr Husnî (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 145.149 cents 145.148702 2: 300.668 cents 300.667985 3: 495.995 cents 495.995323 4: 706.688 cents 706.688453 5: 805.703 cents 805.702758 6: 993.506 cents 993.506487 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 206.4935 cents 206.4935 1: 145.1487 cents 145.1487 2: 155.5193 cents 155.5193 3: 195.3273 cents 195.3273 4: 210.6931 cents 210.6931 5: 99.0143 cents 99.0143 6: 187.8037 cents 187.8037 7: 206.4935 cents 206.4935
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 99.01430 cents 1: 1 145.14870 cents 1: 1 155.51928 cents 1: 1 187.80373 cents 1: 1 195.32734 cents 1: 1 206.49351 cents 1: 1 210.69313 cents 2: 1 286.81803 cents 2: 1 300.66798 cents 2: 1 309.70743 cents 2: 1 350.84662 cents 2: 1 351.64221 cents 2: 1 394.29724 cents 2: 1 406.02047 cents 3: 1 493.31155 cents 3: 1 495.99532 cents 3: 1 497.51116 cents 3: 1 505.03477 cents 3: 1 507.16150 cents 3: 1 539.44594 cents 3: 1 561.53975 cents 4: 1 638.46025 cents 4: 1 660.55406 cents 4: 1 692.83850 cents 4: 1 694.96523 cents 4: 1 702.48884 cents 4: 1 704.00468 cents 4: 1 706.68845 cents 5: 1 793.97953 cents 5: 1 805.70276 cents 5: 1 848.35778 cents 5: 1 849.15338 cents 5: 1 890.29257 cents 5: 1 899.33202 cents 5: 1 913.18197 cents 6: 1 989.30687 cents 6: 1 993.50649 cents 6: 1 1004.67266 cents 6: 1 1012.19627 cents 6: 1 1044.48072 cents 6: 1 1054.85130 cents 6: 1 1100.98569 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 : 145.1 300.7 496.0 706.7 805.7 993.5 1200.0 145.1 : 155.5 350.8 561.5 660.6 848.4 1054.9 1200.0 300.7 : 195.3 406.0 505.0 692.8 899.3 1044.5 1200.0 496.0 : 210.7 309.7 497.5 704.0 849.2 1004.7 1200.0 706.7 : 99.0 286.8 493.3 638.5 794.0 989.3 1200.0 805.7 : 187.8 394.3 539.4 695.0 890.3 1101.0 1200.0 993.5 : 206.5 351.6 507.2 702.5 913.2 1012.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 99.0143 .. 210.6931 cents 111.67882 cents 99.01430 cents 2: 286.8180 .. 406.0205 cents 119.20243 cents 76.12490 cents 3: 493.3115 .. 561.5398 cents 68.22820 cents 87.29108 cents 4: 638.4602 .. 706.6885 cents 68.22820 cents 76.92050 cents 5: 793.9795 .. 913.1820 cents 119.20243 cents 87.29108 cents 6: 989.3069 .. 1100.9857 cents 111.67882 cents 76.12490 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 99.01430 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 210.69313 cents Average / Smallest step : 1.731352 Largest / Average step : 1.229043 Largest / Smallest step : 2.127906 Median interval of one step : 187.80373 cents, amount: 1 Least squares average step : 167.50555 cents, oct.: 1172.53886 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : BCEGADF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 76.12490 cents Scale diversity : 1.551363 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.501484 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 : 0.79559 cents Number of recognisable fifths : 5, average 700.1971 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 107.4792 cents: 2 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 31.8941 c. M:-51.4401 c. Lebeng 10: 1 2 1 2 1 1 2 P M ME S SD: 31.3614 c. M:-59.3320 c. 12: 1 2 2 2 1 2 2 P M ME S SD: 17.6243 c. M: 45.1487 c. G.Dorian, M.Phrygian, G.M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Bilashkhani Todi, Ghanta, Makam Kurd, Gregorian nr.3, In, Zokuso: Japan, Ousak: Greece, Major inverse 15: 2 2 2 3 1 2 3 P D3 SD: 17.6576 c. M: 33.5065 c. 16: 2 2 3 2 2 2 3 SP M ME S SD: 19.2141 c. M: 31.6885 c. Pseudo Pelog, Pelogic-7, Antiionian 17: 2 2 3 3 1 3 3 SP D3 S SD: 13.2972 c. M: 29.2322 c. Dastgah-e Shur 19: 2 3 3 3 2 3 3 SP M ME S SD: 13.8222 c. M: 18.8329 c. Nineteen-tone Phrygian 24: 3 3 4 4 2 4 4 SP D3 S SD: 4.7726 c. M: 6.6885 c. Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur 51: 6 7 8 9 4 8 9 SP SD: 3.9179 c. M: 5.7028 c. 58: 7 8 9 10 5 9 10 SP SD: 3.8940 c. M:-9.6768 c. 68: 8 9 11 12 6 10 12 SP SD: 3.4833 c. M:-6.0619 c. 73: 9 9 12 13 6 11 13 SP SD: 3.6001 c. M: 7.2051 c. 75: 9 10 12 13 6 12 13 SP SD: 2.7888 c. M: 5.7028 c. 77: 9 10 13 13 7 12 13 SP SD: 4.1101 c. M: 5.3898 c. 80: 10 10 13 14 7 12 14 SP SD: 2.8930 c. M:-4.8513 c. 83: 10 11 13 15 7 13 14 SP SD: 3.0199 c. M: 4.4291 c. 85: 10 11 14 15 7 13 15 SP SD: 3.0788 c. M: 5.2712 c. 88: 11 11 14 16 7 14 15 SP SD: 2.9461 c. M: 5.0862 c. 92: 11 12 15 16 8 14 16 SP SD: 1.7984 c. M:-2.9929 c. 109: 13 14 18 19 9 17 19 SP SD: 2.1345 c. M: 3.4203 c. 116: 14 15 19 20 10 18 20 SP SD: 1.3599 c. M: 3.2402 c. 133: 16 17 22 23 11 21 23 SP SD: 1.9318 c. M: 2.9291 c. 140: 17 18 23 24 12 22 24 SP SD: 1.5752 c. M: 3.8313 c. 141: 17 18 23 25 12 22 24 SP SD: 1.9522 c. M:-2.8079 c. 143: 17 19 23 25 12 22 25 SP SD: 1.8182 c. M: 3.2967 c. 147: 18 19 24 26 12 23 25 SP SD: 2.1770 c. M:-3.5156 c. 148: 18 19 24 26 12 23 26 SP SD: 2.1491 c. M: 4.3173 c. 149: 18 19 25 26 12 23 26 SP SD: 2.1050 c. M:-3.3335 c. 150: 18 20 24 26 13 23 26 SP SD: 1.9711 c. M:-3.3320 c. 151: 18 20 24 27 12 24 26 SP SD: 1.9499 c. M: 3.2801 c. 155: 19 20 25 27 13 24 27 SP SD: 1.5639 c. M: 2.5387 c. 164: 20 21 27 29 13 26 28 SP SD: 1.5593 c. M:-3.0676 c. 167: 20 22 27 29 14 26 29 SP SD: 1.4146 c. M: 2.4968 c. 176: 21 23 29 31 14 28 30 SP SD: 1.6134 c. M:-2.4025 c. 179: 22 23 29 31 15 28 31 SP SD: 1.5806 c. M: 2.7778 c. 180: 22 23 29 32 15 28 31 SP SD: 1.2419 c. M: 2.6620 c. 188: 23 24 31 33 15 30 32 SP SD: 1.5652 c. M:-2.2382 c. 191: 23 25 31 33 16 30 33 SP SD: 1.3878 c. M: 3.0235 c. 192: 23 25 31 34 16 30 33 SP SD: 1.0687 c. M: 2.2453 c. 204: 25 26 33 36 17 32 35 SP SD: 1.1133 c. M:-1.9101 c. 216: 26 28 35 38 18 34 37 SP SD: 0.8890 c. M: 1.5509 c. 256: 31 33 42 45 21 40 44 SP SD: 0.6402 c. M:-1.1240 c. 307: 37 40 50 54 25 48 53 SP SD: 0.5191 c. M:-0.8034 c. 331: 40 43 54 58 27 52 57 SP SD: 0.4448 c. M: 0.8689 c. 372: 45 48 61 65 31 58 64 SP SD: 0.4887 c. M:-0.7789 c. 411: 50 53 67 72 34 64 71 SP SD: 0.4648 c. M:-0.8367 c. 414: 50 54 67 73 34 65 71 SP SD: 0.4754 c. M:-0.7813 c. 423: 51 55 69 74 35 66 73 SP SD: 0.3553 c. M: 0.5987 c. 511: 62 66 83 90 42 80 88 SP SD: 0.2816 c. M: 0.4963 c. 523: 63 68 85 92 43 82 90 SP SD: 0.3031 c. M: 0.5980 c. 530: 64 69 86 93 44 83 91 SP SD: 0.3141 c. M:-0.4641 c. 547: 66 71 89 96 45 86 94 SP SD: 0.3129 c. M: 0.5839 c. 603: 73 78 98 106 50 94 104 SP SD: 0.2955 c. M: 0.4729 c. 627: 76 81 102 110 52 98 108 SP SD: 0.2628 c. M: 0.4684 c. 767: 93 99 125 135 63 120 132 SP SD: 0.2499 c. M:-0.4823 c. 779: 94 101 127 137 64 122 134 SP SD: 0.2231 c. M:-0.3719 c. 786: 95 102 128 138 65 123 135 SP SD: 0.2398 c. M:-0.4041 c. 803: 97 104 131 141 66 126 138 SP SD: 0.2040 c. M: 0.2944 c. 825: 100 107 134 145 68 129 142 SP SD: 0.2195 c. M:-0.4229 c. 837: 101 109 136 147 69 131 144 SP SD: 0.2094 c. M:-0.4073 c. 861: 104 112 140 151 71 135 148 SP SD: 0.2009 c. M:-0.3773 c. 883: 107 114 144 155 73 138 152 SP SD: 0.1772 c. M: 0.3282 c. 934: 113 121 152 164 77 146 161 SP SD: 0.1490 c. M: 0.3587 c. 941: 114 122 153 165 78 147 162 SP SD: 0.1905 c. M:-0.2884 c. 958: 116 124 156 168 79 150 165 SP SD: 0.1623 c. M: 0.2748 c. 1041: 126 135 169 183 86 163 179 SP SD: 0.1603 c. M: 0.3181 c. 1150: 139 149 187 202 95 180 198 SP SD: 0.1877 c. M: 0.3431 c. 1190: 144 154 194 209 98 186 205 SP SD: 0.1432 c. M: 0.2292 c. 1214: 147 157 198 213 100 190 209 SP SD: 0.1336 c. M:-0.2156 c. 1297: 157 168 211 228 107 203 223 SP SD: 0.1215 c. M:-0.1735 c. 1348: 163 175 219 237 111 211 232 SP SD: 0.1182 c. M:-0.2222 c. 1372: 166 178 223 241 113 215 236 SP SD: 0.1093 c. M:-0.2067 c. 1406: 170 182 229 247 116 220 242 SP SD: 0.1059 c. M: 0.2412 c. 1440: 174 187 234 253 119 225 248 SP SD: 0.1327 c. M: 0.1732 c. 1464: 177 190 238 257 121 229 252 SP SD: 0.0916 c. M:-0.1517 c. 1628: 197 211 265 286 134 255 280 SP SD: 0.0957 c. M:-0.1912 c. 1720: 208 223 280 302 142 269 296 SP SD: 0.0539 c. M:-0.1112 c. 1744: 211 226 284 306 144 273 300 SP SD: 0.0537 c. M:-0.1056 c. 2231: 270 289 363 392 184 349 384 SP SD: 0.0557 c. M:-0.0798 c. 2255: 273 292 367 396 186 353 388 SP SD: 0.0515 c. M:-0.1285 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: 2.3667 cents 3 x x 4 x 5 x 6 S SD: 26.2276 cents 4 x 5 x 6 x 7:8 S SD: 22.3141 cents 5 x 6:7 x 8:9:10 S SD: 18.2794 cents 6 x 7:8:9:10:11:12 S SD: 17.0584 cents 7 x 8:9 x 11:12:14 SD: 22.5599 cents 8:9:10:11:12:13:14:16 S SD: 17.8959 cents 9:10:11:12 x 14:16:18 S SD: 12.0727 cents 10:11:12:13:15:16:18:20 SD: 7.8644 cents 12:13:14:16:18:19:21:24 SD: 6.2664 cents 20:22:24:27:30:32:36:40 S SD: 6.1275 cents 21:23:25:28:32:33:37:42 SD: 5.2913 cents 22:24:26:29:33:35:39:44 SD: 3.2180 cents 32:35:38:43:48:51:57:64 SD: 2.8931 cents 36:39:43:48:54:57:64:72 SD: 2.1552 cents 48:52:57:64:72:76:85:96 SD: 2.0218 cents 54:59:64:72:81:86:96:108 SD: 1.7054 cents 57:62:68:76:86:91:101:114 SD: 1.3060 cents 69:75:82:92:104:110:122:138 SD: 1.2042 cents 79:86:94:105:119:126:140:158 SD: 0.8626 cents 105:114:125:140:158:167:186:210 SD: 0.8135 cents 111:121:132:148:167:177:197:222 SD: 0.7432 cents 115:125:137:153:173:183:204:230 SD: 0.5120 cents 147:160:175:196:221:234:261:294 SD: 0.4421 cents 169:184:201:225:254:269:300:338 SD: 0.3917 cents 196:213:233:261:295:312:348:392 SD: 0.3269 cents 226:246:269:301:340:360:401:452 SD: 0.2975 cents 307:334:365:409:462:489:545:614 SD: 0.2494 cents 343:373:408:457:516:546:609:686 SD: 0.1846 cents 401:436:477:534:603:639:712:802 SD: 0.1689 cents 422:459:502:562:635:672:749:844 SD: 0.1268 cents 516:561:614:687:776:822:916:1032 SD: 0.1248 cents