Scala analysis: CD18_18_Tunisia
Ô mon enfer, ma grande souffrance - L'ensemble de Muhammad Ghânim (unknown maqam, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 192.463 cents 192.462622 2: 355.183 cents 355.182949 3: 492.270 cents 492.270406 4: 684.474 cents 684.474335 5: 993.851 cents 993.851429 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 206.1486 cents 206.1486 1: 192.4626 cents 192.4626 2: 162.7203 cents 162.7203 3: 137.0875 cents 137.0875 4: 192.2039 cents 192.2039 5: 309.3771 cents 309.3771 6: 206.1486 cents 206.1486
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 137.08746 cents 1: 1 162.72033 cents 1: 1 192.20393 cents 1: 1 192.46262 cents 1: 1 206.14857 cents 1: 1 309.37709 cents 2: 1 299.80778 cents 2: 1 329.29139 cents 2: 1 355.18295 cents 2: 1 398.61119 cents 2: 1 501.58102 cents 2: 1 515.52566 cents 3: 1 492.01171 cents 3: 1 492.27041 cents 3: 1 561.33152 cents 3: 1 638.66848 cents 3: 1 707.72959 cents 3: 1 707.98829 cents 4: 1 684.47433 cents 4: 1 698.41898 cents 4: 1 801.38881 cents 4: 1 844.81705 cents 4: 1 870.70861 cents 4: 1 900.19222 cents 5: 1 890.62291 cents 5: 1 993.85143 cents 5: 1 1007.53738 cents 5: 1 1007.79607 cents 5: 1 1037.27967 cents 5: 1 1062.91254 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 192.5 355.2 492.3 684.5 993.9 1200.0 192.5 : 162.7 299.8 492.0 801.4 1007.5 1200.0 355.2 : 137.1 329.3 638.7 844.8 1037.3 1200.0 492.3 : 192.2 501.6 707.7 900.2 1062.9 1200.0 684.5 : 309.4 515.5 708.0 870.7 1007.8 1200.0 993.9 : 206.1 398.6 561.3 698.4 890.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 137.0875 .. 309.3771 cents 172.28964 cents 137.08746 cents 2: 299.8078 .. 515.5257 cents 215.71788 cents -9.56931 cents 3: 492.0117 .. 707.9883 cents 215.97657 cents -23.51395 cents 4: 684.4743 .. 900.1922 cents 215.71788 cents -23.51395 cents 5: 890.6229 .. 1062.9125 cents 172.28964 cents -9.56931 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 137.08746 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 309.37709 cents Average / Smallest step : 1.458923 Largest / Average step : 1.546885 Largest / Smallest step : 2.256786 Median interval of one step : 192.33328 cents, amount: 0 Least squares average step : 189.96477 cents, oct.: 1139.78863 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : DBACFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 9.31062 cents Scale diversity : 1.530110 Lumma stability : 0.228479 Lumma impropriety factor : 0.055139 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 0.25869 cents Number of recognisable fifths : 3, average 704.7123 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 0 1 2 1 N T3 SD: 54.3950 c. M: 92.2704 c. 7: 1 1 1 1 2 1 P M ME SD: 19.5194 c. M:-34.7200 c. 12: 2 2 1 2 3 2 P T3 SD: 20.0166 c. M:-44.8171 c. Raga Siva Kambhoji, Vivardhini, Andhali 17: 3 2 2 3 4 3 P SD: 12.0475 c. M:-21.4080 c. 19: 3 3 2 3 5 3 P SD: 13.6983 c. M:-23.7644 c. 23: 4 3 2 4 6 4 N SD: 12.4152 c. M: 22.7052 c. 24: 4 3 3 4 6 4 P SD: 8.3892 c. M:-15.5257 c. 30: 5 4 3 5 8 5 N SD: 6.9331 c. M: 12.2704 c. 37: 6 5 4 6 10 6 N SD: 5.5600 c. M:-11.5540 c. 44: 7 6 5 7 11 8 N SD: 5.1076 c. M: 12.0332 c. 48: 8 6 6 7 13 8 N SD: 6.7205 c. M: 9.4743 c. 51: 8 7 6 8 13 9 N SD: 3.2236 c. M: 5.6161 c. 68: 11 9 8 11 17 12 N SD: 3.0785 c. M: 5.6161 c. 70: 11 10 8 11 18 12 N SD: 3.2612 c. M:-4.8725 c. 75: 12 10 9 12 19 13 N SD: 2.5856 c. M:-3.7296 c. 81: 13 11 9 13 21 14 N SD: 1.9206 c. M: 3.3815 c. 88: 14 12 10 14 23 15 N SD: 1.5437 c. M: 2.6562 c. 105: 17 14 12 17 27 18 N SD: 1.0459 c. M:-1.8231 c. 156: 25 21 18 25 40 27 N SD: 0.8382 c. M: 1.5437 c. 175: 28 24 20 28 45 30 N SD: 0.9961 c. M:-1.4439 c. 186: 30 25 21 30 48 32 N SD: 0.9615 c. M: 1.9478 c. 193: 31 26 22 31 50 33 N SD: 0.7158 c. M: 1.0787 c. 244: 39 33 28 39 63 42 N SD: 0.6769 c. M: 1.0846 c. 256: 41 35 29 41 66 44 N SD: 0.4548 c. M:-1.0671 c. 263: 42 36 30 42 68 45 N SD: 0.5959 c. M: 0.8276 c. 331: 53 45 38 53 85 57 N SD: 0.4985 c. M:-0.7810 c. 344: 55 47 39 55 89 59 N SD: 0.5178 c. M: 0.7534 c. 349: 56 47 40 56 90 60 N SD: 0.4966 c. M: 1.0282 c. 361: 58 49 41 58 93 62 N SD: 0.2993 c. M:-0.4957 c. 368: 59 50 42 59 95 63 N SD: 0.3385 c. M:-0.7138 c. 412: 66 56 47 66 106 71 N SD: 0.2881 c. M: 0.6475 c. 419: 67 57 48 67 108 72 N SD: 0.2735 c. M: 0.5772 c. 500: 80 68 57 80 129 86 N SD: 0.3097 c. M: 0.4743 c. 517: 83 70 59 83 133 89 N SD: 0.2316 c. M: 0.4278 c. 524: 84 71 60 84 135 90 N SD: 0.1505 c. M:-0.2585 c. 780: 125 106 89 125 201 134 N SD: 0.1197 c. M:-0.2017 c. 885: 142 120 101 142 228 152 N SD: 0.1237 c. M:-0.2714 c. 973: 156 132 111 156 251 167 N SD: 0.1109 c. M:-0.1876 c. 1129: 181 153 129 181 291 194 N SD: 0.1042 c. M: 0.1785 c. 1304: 209 177 149 209 336 224 N SD: 0.0980 c. M:-0.1882 c. 1385: 222 188 158 222 357 238 N SD: 0.0812 c. M: 0.1404 c. 1497: 240 203 171 240 386 257 N SD: 0.0879 c. M:-0.1365 c. 1753: 281 238 200 281 452 301 N SD: 0.0839 c. M: 0.1067 c. 1909: 306 259 218 306 492 328 N SD: 0.0643 c. M: 0.1106 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 8.7403 cents 3 x x 4 x 5:6 S SD: 36.5483 cents 4 x 5 x 6:7:8 S SD: 10.9000 cents 5 x 6:7 x 9:10 SD: 25.3364 cents 6:7 x 8:9:11:12 SD: 18.9283 cents 7:8 x 9:10:12:14 S SD: 22.7537 cents 8:9:10:11:12:14:16 S SD: 12.3812 cents 9:10:11:12:13:16:18 SD: 8.3171 cents 17:19:21:23:25:30:34 SD: 6.3915 cents 18:20:22:24:27:32:36 SD: 3.7475 cents 27:30:33:36:40:48:54 S SD: 2.4506 cents 43:48:53:57:64:76:86 SD: 2.0196 cents 49:55:60:65:73:87:98 SD: 1.8175 cents 52:58:64:69:77:92:104 SD: 1.6458 cents 58:65:71:77:86:103:116 SD: 1.2710 cents 70:78:86:93:104:124:140 SD: 1.1092 cents 76:85:93:101:113:135:152 SD: 1.0522 cents 101:113:124:134:150:179:202 SD: 0.7706 cents 119:133:146:158:177:211:238 SD: 0.6928 cents 128:143:157:170:190:227:256 SD: 0.4847 cents 179:200:220:238:266:318:358 SD: 0.4487 cents 188:210:231:250:279:334:376 SD: 0.4203 cents 219:245:269:291:325:389:438 SD: 0.3911 cents 237:265:291:315:352:421:474 SD: 0.2197 cents 289:323:355:384:429:513:578 SD: 0.1965 cents 307:343:377:408:456:545:614 SD: 0.1409 cents 365:408:448:485:542:648:730 SD: 0.1022 cents 553:618:679:735:821:982:1106 SD: 0.0943 cents