Scala analysis: CD01_02_hijaz_Egypt
Mon amour m'a quitté alors que je n'ai aucun tort / Toi qui as la taille comme une branche - Darwîsh Muhammad al-Harîrî (hijaz, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 104.182 cents 104.181863 2: 396.171 cents 396.171372 3: 499.967 cents 499.967001 4: 717.958 cents 717.958195 5: 842.523 cents 842.522887 6: 1015.847 cents 1015.847084 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 184.1529 cents 184.1529 1: 104.1819 cents 104.1819 2: 291.9895 cents 291.9895 3: 103.7956 cents 103.7956 4: 217.9912 cents 217.9912 5: 124.5647 cents 124.5647 6: 173.3242 cents 173.3242 7: 184.1529 cents 184.1529
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 103.79563 cents 1: 1 104.18186 cents 1: 1 124.56469 cents 1: 1 173.32420 cents 1: 1 184.15292 cents 1: 1 217.99119 cents 1: 1 291.98951 cents 2: 1 288.33478 cents 2: 1 297.88889 cents 2: 1 321.78682 cents 2: 1 342.55589 cents 2: 1 357.47711 cents 2: 1 395.78514 cents 2: 1 396.17137 cents 3: 1 446.35151 cents 3: 1 461.65898 cents 3: 1 482.04180 cents 3: 1 499.96700 cents 3: 1 515.88008 cents 3: 1 580.32429 cents 3: 1 613.77633 cents 4: 1 586.22367 cents 4: 1 619.67571 cents 4: 1 684.11992 cents 4: 1 700.03300 cents 4: 1 717.95820 cents 4: 1 738.34102 cents 4: 1 753.64849 cents 5: 1 803.82863 cents 5: 1 804.21486 cents 5: 1 842.52289 cents 5: 1 857.44411 cents 5: 1 878.21318 cents 5: 1 902.11111 cents 5: 1 911.66522 cents 6: 1 908.01049 cents 6: 1 982.00881 cents 6: 1 1015.84708 cents 6: 1 1026.67580 cents 6: 1 1075.43531 cents 6: 1 1095.81814 cents 6: 1 1096.20437 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 : 104.2 396.2 500.0 718.0 842.5 1015.8 1200.0 104.2 : 292.0 395.8 613.8 738.3 911.7 1095.8 1200.0 396.2 : 103.8 321.8 446.4 619.7 803.8 908.0 1200.0 500.0 : 218.0 342.6 515.9 700.0 804.2 1096.2 1200.0 718.0 : 124.6 297.9 482.0 586.2 878.2 982.0 1200.0 842.5 : 173.3 357.5 461.7 753.6 857.4 1075.4 1200.0 1015.8: 184.2 288.3 580.3 684.1 902.1 1026.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 103.7956 .. 291.9895 cents 188.19388 cents 103.79563 cents 2: 288.3348 .. 396.1714 cents 107.83659 cents -3.65473 cents 3: 446.3515 .. 613.7763 cents 167.42482 cents 50.18014 cents 4: 586.2237 .. 753.6485 cents 167.42482 cents -27.55266 cents 5: 803.8286 .. 911.6652 cents 107.83659 cents 50.18014 cents 6: 908.0105 .. 1096.2044 cents 188.19388 cents -3.65473 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 103.79563 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 291.98951 cents Average / Smallest step : 1.651597 Largest / Average step : 1.703272 Largest / Smallest step : 2.813120 Median interval of one step : 173.32420 cents, amount: 1 Least squares average step : 171.25682 cents, oct.: 1198.79777 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : BGAFCDE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.65473 cents Scale diversity : 1.619208 Lumma stability : 0.256626 Lumma impropriety factor : 0.029052 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 : 0.38623 cents Number of recognisable fifths : 2, average 708.9956 cents Number of appreciable fifths : 1, average 700.0330 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 35.8267 c. M:-67.2467 c. Lebeng 9: 1 2 1 1 1 2 1 P M ME I SD: 35.8557 c. M: 51.2915 c. 10: 1 2 1 2 1 1 2 P M ME S SD: 26.9568 c. M: 55.8471 c. 12: 1 3 1 2 1 2 2 P D3 SD: 18.5702 c. M: 42.5229 c. Phrygian Dominant, Phrygian Major, Mela Vakulabharanam, Raga Ahiri, Basant Mukhari, Jogiya, Vativasantabhairavi, Zilof, Ahava Rabba, Freygish: Jewish, Maqam Hijaz-Nahawand, Humayun, Spanish Gipsy, Dorico Flamenco: Spain, Hitzaz: Greece, Harmonic Major inverse, Mixolydian flat 2 flat 6 13: 1 3 1 3 1 2 2 N D3 S SD: 20.3621 c. M: 38.4285 c. 14: 1 4 1 2 2 2 2 N T3 S SD: 20.7404 c. M:-32.4001 c. 15: 1 4 1 3 2 2 2 N SD: 20.6680 c. M:-37.4771 c. 19: 1 5 2 3 2 3 3 N SD: 20.8265 c. M: 41.0240 c. 20: 2 5 1 4 2 3 3 P SD: 13.3335 c. M:-23.8286 c. 21: 2 5 2 4 2 3 3 N SD: 13.7185 c. M:-24.8989 c. 24: 2 6 2 4 3 3 4 P S SD: 9.7224 c. M: 17.9582 c. 27: 2 7 2 5 3 4 4 N SD: 8.1282 c. M: 15.2930 c. 33: 3 8 3 6 3 5 5 N SD: 6.0018 c. M:-9.3145 c. 45: 4 11 4 8 5 6 7 N SD: 5.2518 c. M:-10.8104 c. 48: 4 12 4 9 5 7 7 N SD: 5.6242 c. M:-9.1529 c. 55: 5 13 5 10 6 8 8 N SD: 5.4273 c. M:-9.6075 c. 57: 5 14 5 10 6 8 9 N SD: 3.3180 c. M: 5.3208 c. 60: 5 15 5 11 6 9 9 N SD: 2.9259 c. M: 4.1819 c. 67: 6 16 6 12 7 10 10 N SD: 2.5655 c. M:-5.0484 c. 70: 6 17 6 13 7 10 11 N SD: 2.4884 c. M: 4.4185 c. 91: 8 22 8 16 10 13 14 N SD: 2.3921 c. M: 5.8703 c. 100: 9 24 9 18 10 15 15 N SD: 2.8947 c. M:-4.1529 c. 103: 9 25 9 19 10 15 16 N SD: 2.3683 c. M:-4.3719 c. 104: 9 25 9 19 11 15 16 N SD: 2.2824 c. M: 3.8637 c. 105: 9 26 9 19 11 15 16 N SD: 2.4142 c. M:-3.8286 c. 112: 10 27 10 20 12 16 17 N SD: 2.4240 c. M:-3.9057 c. 115: 10 28 10 21 12 16 18 N SD: 1.9230 c. M: 3.6732 c. 124: 11 30 11 22 13 18 19 N SD: 1.6863 c. M:-3.2588 c. 125: 11 30 11 23 13 18 19 N SD: 1.7582 c. M: 2.5714 c. 130: 11 32 11 24 13 19 20 N SD: 1.7141 c. M: 2.6434 c. 137: 12 33 12 25 14 20 21 N SD: 1.0844 c. M: 2.0108 c. 182: 16 44 16 33 19 26 28 N SD: 0.9348 c. M:-1.4332 c. 194: 17 47 17 35 20 28 30 N SD: 0.9262 c. M: 1.4141 c. 209: 18 51 18 38 22 30 32 N SD: 0.6941 c. M:-1.4963 c. 221: 19 54 19 40 23 32 34 N SD: 0.7310 c. M: 1.2161 c. 242: 21 59 21 44 25 35 37 N SD: 0.6309 c. M:-1.0501 c. 279: 24 68 24 51 29 40 43 N SD: 0.6755 c. M: 1.0423 c. 288: 25 70 25 52 30 42 44 N SD: 0.6749 c. M: 1.2915 c. 312: 27 76 27 57 32 45 48 N SD: 0.5337 c. M:-1.2726 c. 333: 29 81 29 60 35 48 51 N SD: 0.5843 c. M:-0.9339 c. 346: 30 84 30 63 36 50 53 N SD: 0.4013 c. M: 0.7956 c. 379: 33 92 33 69 39 55 58 N SD: 0.4296 c. M:-0.7753 c. 403: 35 98 35 73 42 58 62 N SD: 0.2549 c. M: 0.4625 c. 600: 52 146 52 109 62 87 92 N SD: 0.2274 c. M: 0.5229 c. 645: 56 157 56 117 67 93 99 N SD: 0.2285 c. M:-0.4981 c. 705: 61 172 61 128 73 102 108 N SD: 0.3240 c. M:-0.4585 c. 712: 62 173 62 129 74 103 109 N SD: 0.3142 c. M:-0.5948 c. 715: 62 174 62 130 74 103 110 N SD: 0.2389 c. M: 0.4625 c. 749: 65 182 65 136 78 108 115 N SD: 0.2064 c. M: 0.4437 c. 782: 68 190 68 142 81 113 120 N SD: 0.1793 c. M:-0.2888 c. 809: 70 197 70 147 84 117 124 N SD: 0.1679 c. M: 0.3500 c. 866: 75 211 75 157 90 125 133 N SD: 0.1711 c. M:-0.2639 c. 991: 86 241 86 180 103 143 152 N SD: 0.1474 c. M:-0.2622 c. 1003: 87 244 87 182 104 145 154 N SD: 0.1392 c. M: 0.2497 c. 1212: 105 295 105 220 126 175 186 N SD: 0.1126 c. M: 0.2215 c. 1406: 122 342 122 255 146 203 216 N SD: 0.1448 c. M: 0.1999 c. 1414: 123 344 122 257 147 204 217 N SD: 0.1270 c. M:-0.2029 c. 1426: 124 347 123 259 148 206 219 N SD: 0.1417 c. M:-0.1821 c. 1454: 126 354 126 264 151 210 223 N SD: 0.1173 c. M: 0.1929 c. 1591: 138 387 138 289 165 230 244 N SD: 0.1053 c. M: 0.1940 c. 1611: 140 392 139 293 167 233 247 N SD: 0.1121 c. M:-0.1678 c. 1635: 142 398 141 297 170 236 251 N SD: 0.1080 c. M: 0.1600 c. 1668: 145 406 144 303 173 241 256 N SD: 0.1068 c. M:-0.2315 c. 1772: 154 431 153 322 184 256 272 N SD: 0.1026 c. M: 0.1927 c. 1877: 163 457 162 341 195 271 288 N SD: 0.0879 c. M:-0.2058 c. 1947: 169 474 168 354 202 281 299 N SD: 0.0879 c. M:-0.1306 c. 2014: 175 490 174 366 209 291 309 N SD: 0.0502 c. M:-0.0882 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: 8.0016 cents 3 x x 4 x 5 x 6 S SD: 13.9600 cents 4 x 5 x 6 x 7:8 S SD: 12.6596 cents 5 x 6:7 x 8:9:10 S SD: 23.7768 cents 6 x x 8:9:10:11:12 S SD: 11.1953 cents 7:8:9 x x 11:13:14 SD: 31.2184 cents 8:9:10:11:12:13:14:16 S SD: 17.5841 cents 9:10:11:12:14:15:16:18 S SD: 16.1913 cents 10:11 x 13:15:16:18:20 SD: 13.8277 cents 11:12:14:15:17:18:20:22 SD: 10.8065 cents 12:13:15:16:18:20:22:24 SD: 9.4903 cents 14:15:18:19:21:23:25:28 SD: 8.1561 cents 15:16:19:20:23:24:27:30 SD: 5.6284 cents 16:17:20:21:24:26:29:32 SD: 5.3418 cents 19:20:24:25:29:31:34:38 SD: 4.9842 cents 27:29:34:36:41:44:49:54 SD: 3.7355 cents 30:32:38:40:45:49:54:60 SD: 3.3130 cents 35:37:44:47:53:57:63:70 SD: 1.9075 cents 50:53:63:67:76:81:90:100 SD: 1.8966 cents 51:54:64:68:77:83:92:102 SD: 1.3825 cents 66:70:83:88:100:107:119:132 SD: 1.1911 cents 78:83:98:104:118:127:140:156 SD: 0.7816 cents 113:120:142:151:171:184:203:226 SD: 0.4470 cents 144:153:181:192:218:234:259:288 SD: 0.4169 cents 179:190:225:239:271:291:322:358 SD: 0.2549 cents 257:273:323:343:389:418:462:514 SD: 0.1409 cents 436:463:548:582:660:709:784:872 SD: 0.1271 cents 451:479:567:602:683:734:811:902 SD: 0.1245 cents 549:583:690:733:831:893:987:1098 SD: 0.1201 cents 595:632:748:794:901:968:1070:1190 SD: 0.0979 cents