Scala analysis: CD03_12_bayati_Egypt
Âme, reprends confiance en ton étoile - Aziz 'Uthmân (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 151.177 cents 151.176618 2: 295.786 cents 295.786296 3: 490.427 cents 490.426975 4: 706.123 cents 706.122646 5: 868.514 cents 868.513735 6: 1007.050 cents 1007.050123 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 192.9499 cents 192.9499 1: 151.1766 cents 151.1766 2: 144.6097 cents 144.6097 3: 194.6407 cents 194.6407 4: 215.6957 cents 215.6957 5: 162.3911 cents 162.3911 6: 138.5364 cents 138.5364 7: 192.9499 cents 192.9499
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 138.53639 cents 1: 1 144.60968 cents 1: 1 151.17662 cents 1: 1 162.39109 cents 1: 1 192.94988 cents 1: 1 194.64068 cents 1: 1 215.69567 cents 2: 1 295.78630 cents 2: 1 300.92748 cents 2: 1 331.48627 cents 2: 1 339.25036 cents 2: 1 344.12650 cents 2: 1 378.08676 cents 2: 1 410.33635 cents 3: 1 482.66288 cents 3: 1 488.73617 cents 3: 1 490.42698 cents 3: 1 493.87735 cents 3: 1 516.62315 cents 3: 1 554.94603 cents 3: 1 572.72744 cents 4: 1 627.27256 cents 4: 1 645.05397 cents 4: 1 683.37685 cents 4: 1 706.12265 cents 4: 1 709.57302 cents 4: 1 711.26383 cents 4: 1 717.33712 cents 5: 1 789.66365 cents 5: 1 821.91324 cents 5: 1 855.87351 cents 5: 1 860.74964 cents 5: 1 868.51373 cents 5: 1 899.07252 cents 5: 1 904.21370 cents 6: 1 984.30433 cents 6: 1 1005.35932 cents 6: 1 1007.05012 cents 6: 1 1037.60891 cents 6: 1 1048.82338 cents 6: 1 1055.39032 cents 6: 1 1061.46361 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 : 151.2 295.8 490.4 706.1 868.5 1007.1 1200.0 151.2 : 144.6 339.3 554.9 717.3 855.9 1048.8 1200.0 295.8 : 194.6 410.3 572.7 711.3 904.2 1055.4 1200.0 490.4 : 215.7 378.1 516.6 709.6 860.7 1005.4 1200.0 706.1 : 162.4 300.9 493.9 645.1 789.7 984.3 1200.0 868.5 : 138.5 331.5 482.7 627.3 821.9 1037.6 1200.0 1007.1: 192.9 344.1 488.7 683.4 899.1 1061.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 138.5364 .. 215.6957 cents 77.15928 cents 138.53639 cents 2: 295.7863 .. 410.3364 cents 114.55005 cents 80.09063 cents 3: 482.6629 .. 572.7274 cents 90.06456 cents 72.32653 cents 4: 627.2726 .. 717.3371 cents 90.06456 cents 54.54512 cents 5: 789.6636 .. 904.2137 cents 114.55005 cents 72.32653 cents 6: 984.3043 .. 1061.4636 cents 77.15928 cents 80.09063 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 138.53639 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 215.69567 cents Average / Smallest step : 1.237426 Largest / Average step : 1.258225 Largest / Smallest step : 1.556960 Median interval of one step : 162.39109 cents, amount: 1 Least squares average step : 170.16707 cents, oct.: 1191.16951 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CBFGDAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 54.54512 cents Scale diversity : 1.491784 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.530377 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 : 1.69080 cents Number of recognisable fifths : 4, average 711.0742 cents Number of appreciable fifths : 3, average 708.9865 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 114.5501 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 24.5066 c. M:-47.0708 c. Lebeng 8: 1 1 1 2 1 1 1 P M ME I SD: 30.2720 c. M:-43.8774 c. 12: 2 1 2 2 2 1 2 P M ME I SD: 22.5885 c. M:-48.8234 c. G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Huseni, Kanara, Kapi, Nayaki Kanada, Ritigaula, Sriraga, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Nam: Vietnam 14: 2 1 3 2 2 2 2 P T3 SD: 22.3020 c. M: 38.6434 c. 15: 2 2 2 3 2 2 2 SP M ME I SD: 17.6598 c. M:-32.9499 c. Miller's Porcupine-7 17: 2 2 3 3 2 2 3 SP D3 S SD: 12.5837 c. M: 21.4549 c. 24: 3 3 4 4 3 3 4 SP D3 S SD: 8.7891 c. M: 18.5137 c. Maqam Hussaini, Ushaq, Neutral Diatonic Dorian 25: 3 3 4 5 3 3 4 SP SD: 7.8804 c. M:-13.8774 c. 32: 4 4 5 6 4 4 5 SP SD: 4.3792 c. M:-6.3774 c. 56: 7 7 9 10 8 6 9 SP SD: 4.2637 c. M:-10.0577 c. 61: 8 7 10 11 8 7 10 SP SD: 3.1169 c. M:-6.2004 c. 73: 9 9 12 13 10 8 12 SP SD: 2.5177 c. M: 4.3104 c. 80: 10 10 13 14 11 9 13 SP SD: 2.6111 c. M:-4.5730 c. 88: 11 11 14 16 12 10 14 SP SD: 2.6753 c. M:-4.2137 c. 93: 12 11 15 17 12 11 15 SP SD: 2.4892 c. M: 3.9976 c. 105: 13 13 17 19 14 12 17 SP SD: 1.5773 c. M: 2.6052 c. 142: 18 17 23 26 19 16 23 SP SD: 1.7142 c. M:-3.7365 c. 149: 19 18 24 27 20 17 24 SP SD: 1.5810 c. M:-2.6022 c. 151: 19 18 25 27 20 18 24 SP SD: 1.6837 c. M: 2.2886 c. 166: 21 20 27 30 22 19 27 SP SD: 1.3868 c. M:-2.3111 c. 167: 21 20 27 30 23 19 27 SP SD: 1.2229 c. M: 1.9310 c. 174: 22 21 28 31 24 20 28 SP SD: 1.1251 c. M: 2.6744 c. 199: 25 24 32 36 27 23 32 SP SD: 0.8104 c. M: 1.9848 c. 200: 25 24 33 36 27 23 32 SP SD: 1.3982 c. M:-1.8774 c. 206: 26 25 33 37 28 24 33 SP SD: 0.8802 c. M:-1.3011 c. 260: 33 31 42 47 35 30 42 SP SD: 0.7884 c. M: 1.1962 c. 272: 34 33 44 49 37 31 44 SP SD: 0.7299 c. M: 1.1766 c. 279: 35 34 45 50 38 32 45 SP SD: 0.5858 c. M:-0.9879 c. 304: 38 37 49 55 41 35 49 SP SD: 0.6328 c. M: 1.1766 c. 311: 39 38 50 56 42 36 50 SP SD: 0.5977 c. M:-1.3198 c. 325: 41 39 53 58 44 38 52 SP SD: 0.6546 c. M:-0.9499 c. 333: 42 40 54 60 45 38 54 SP SD: 0.6513 c. M: 1.6447 c. 340: 43 41 55 61 46 39 55 SP SD: 0.5781 c. M: 1.1678 c. 348: 44 42 56 63 47 40 56 SP SD: 0.5742 c. M:-0.7739 c. 365: 46 44 59 66 49 42 59 SP SD: 0.5643 c. M: 1.0227 c. 374: 47 45 61 67 51 43 60 SP SD: 0.5332 c. M:-1.0050 c. 381: 48 46 62 68 52 44 61 SP SD: 0.6052 c. M:-0.9116 c. 398: 50 48 65 71 54 46 64 SP SD: 0.4956 c. M:-1.0303 c. 406: 51 49 66 73 55 47 65 SP SD: 0.4243 c. M:-0.8317 c. 430: 54 52 70 77 58 50 69 SP SD: 0.4308 c. M:-0.7358 c. 435: 55 52 71 78 59 50 70 SP SD: 0.4277 c. M: 0.6139 c. 467: 59 56 76 84 63 54 75 SP SD: 0.3200 c. M:-0.5155 c. 597: 75 72 97 107 81 69 96 SP SD: 0.3068 c. M: 0.5950 c. 629: 79 76 102 113 85 73 101 SP SD: 0.2883 c. M: 0.4692 c. 634: 80 76 103 114 86 73 102 SP SD: 0.2575 c. M: 0.5182 c. 641: 81 77 104 115 87 74 103 SP SD: 0.2304 c. M:-0.4614 c. 658: 83 79 107 118 89 76 106 SP SD: 0.2964 c. M: 0.4286 c. 666: 84 80 108 120 90 77 107 SP SD: 0.2032 c. M: 0.3369 c. 739: 93 89 120 133 100 85 119 SP SD: 0.1999 c. M: 0.2842 c. 746: 94 90 121 134 101 86 120 SP SD: 0.1172 c. M:-0.1923 c. 1375: 173 166 223 247 186 159 221 SP SD: 0.1073 c. M: 0.1948 c. 1380: 174 166 224 248 187 159 222 SP SD: 0.1052 c. M:-0.1819 c. 1412: 178 170 229 254 191 163 227 SP SD: 0.0645 c. M:-0.1096 c. 2009: 253 242 326 361 272 232 323 SP SD: 0.0641 c. M: 0.1168 c. 2158: 272 260 350 388 292 249 347 SP SD: 0.0540 c. M:-0.0868 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: 2.0838 cents 3 x x 4 x 5 x 6 S SD: 5.8604 cents 4 x 5 x 6 x 7:8 S SD: 24.5887 cents 5 x 6:7 x 8:9:10 S SD: 21.9008 cents 6 x 7:8:9:10:11:12 S SD: 9.0568 cents 7 x 8:9:11:12:13:14 SD: 24.3954 cents 8:9:10:11:12:13:14:16 S SD: 18.5964 cents 9:10:11:12:14:15:16:18 S SD: 12.3930 cents 10:11:12:13:15:17:18:20 SD: 9.6237 cents 12:13:14:16:18:20:21:24 S SD: 7.5357 cents 18:20:21:24:27:30:32:36 S SD: 6.7881 cents 20:22:24:27:30:33:36:40 S SD: 5.6508 cents 21:23:25:28:32:35:38:42 SD: 5.1638 cents 22:24:26:29:33:36:39:44 SD: 3.8194 cents 31:34:37:41:47:51:55:62 SD: 3.7444 cents 32:35:38:42:48:53:57:64 SD: 3.2085 cents 34:37:40:45:51:56:61:68 SD: 2.5573 cents 42:46:50:56:63:69:75:84 SD: 2.2350 cents 43:47:51:57:65:71:77:86 SD: 1.4389 cents 75:82:89:100:113:124:134:150 SD: 1.3605 cents 76:83:90:101:114:126:136:152 SD: 1.2576 cents 80:87:95:106:120:132:143:160 SD: 1.2041 cents 85:93:101:113:128:140:152:170 SD: 1.1414 cents 86:94:102:114:129:142:154:172 SD: 0.8350 cents 109:119:129:145:164:180:195:218 SD: 0.8113 cents 119:130:141:158:179:197:213:238 SD: 0.7366 cents 123:134:146:163:185:203:220:246 SD: 0.6367 cents 129:141:153:171:194:213:231:258 SD: 0.5870 cents 155:169:184:206:233:256:277:310 SD: 0.4828 cents 177:193:210:235:266:292:317:354 SD: 0.4413 cents 198:216:235:263:298:327:354:396 SD: 0.3527 cents 232:253:275:308:349:383:415:464 SD: 0.3035 cents 241:263:286:320:362:398:431:482 SD: 0.2901 cents 284:310:337:377:427:469:508:568 SD: 0.1056 cents 516:563:612:685:776:852:923:1032 SD: 0.1027 cents 580:633:688:770:872:958:1038:1160 SD: 0.1022 cents