Scala analysis: CD17_06_Tunisia
Mon amour est à l'intérieur - L'ensemble de Muhammad Ghânim (rasd al-dhil, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 153.500 cents 153.499691 2: 286.569 cents 286.569391 3: 491.600 cents 491.599804 4: 663.100 cents 663.099518 5: 805.692 cents 805.692185 6: 988.692 cents 988.692389 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 211.3076 cents 211.3076 1: 153.4997 cents 153.4997 2: 133.0697 cents 133.0697 3: 205.0304 cents 205.0304 4: 171.4997 cents 171.4997 5: 142.5927 cents 142.5927 6: 183.0002 cents 183.0002 7: 211.3076 cents 211.3076
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 133.06970 cents 1: 1 142.59267 cents 1: 1 153.49969 cents 1: 1 171.49971 cents 1: 1 183.00020 cents 1: 1 205.03041 cents 1: 1 211.30761 cents 2: 1 286.56939 cents 2: 1 314.09238 cents 2: 1 325.59287 cents 2: 1 338.10011 cents 2: 1 364.80730 cents 2: 1 376.53013 cents 2: 1 394.30781 cents 3: 1 491.59980 cents 3: 1 497.09258 cents 3: 1 497.87700 cents 3: 1 509.59983 cents 3: 1 519.12279 cents 3: 1 536.90048 cents 3: 1 547.80751 cents 4: 1 652.19249 cents 4: 1 663.09952 cents 4: 1 680.87721 cents 4: 1 690.40017 cents 4: 1 702.12300 cents 4: 1 702.90742 cents 4: 1 708.40020 cents 5: 1 805.69219 cents 5: 1 823.46987 cents 5: 1 835.19270 cents 5: 1 861.89989 cents 5: 1 874.40713 cents 5: 1 885.90762 cents 5: 1 913.43061 cents 6: 1 988.69239 cents 6: 1 994.96959 cents 6: 1 1016.99980 cents 6: 1 1028.50029 cents 6: 1 1046.50031 cents 6: 1 1057.40733 cents 6: 1 1066.93030 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 : 153.5 286.6 491.6 663.1 805.7 988.7 1200.0 153.5 : 133.1 338.1 509.6 652.2 835.2 1046.5 1200.0 286.6 : 205.0 376.5 519.1 702.1 913.4 1066.9 1200.0 491.6 : 171.5 314.1 497.1 708.4 861.9 995.0 1200.0 663.1 : 142.6 325.6 536.9 690.4 823.5 1028.5 1200.0 805.7 : 183.0 394.3 547.8 680.9 885.9 1057.4 1200.0 988.7 : 211.3 364.8 497.9 702.9 874.4 1017.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 133.0697 .. 211.3076 cents 78.23791 cents 133.06970 cents 2: 286.5694 .. 394.3078 cents 107.73842 cents 75.26178 cents 3: 491.5998 .. 547.8075 cents 56.20770 cents 97.29199 cents 4: 652.1925 .. 708.4002 cents 56.20770 cents 104.38499 cents 5: 805.6922 .. 913.4306 cents 107.73842 cents 97.29199 cents 6: 988.6924 .. 1066.9303 cents 78.23791 cents 75.26178 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 133.06970 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 211.30761 cents Average / Smallest step : 1.288262 Largest / Average step : 1.232628 Largest / Smallest step : 1.587947 Median interval of one step : 171.49971 cents, amount: 1 Least squares average step : 165.81751 cents, oct.: 1160.72256 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CAFDBEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 75.26178 cents Scale diversity : 1.455616 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.596360 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 : 0.78442 cents Number of recognisable fifths : 4, average 700.9577 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 89.9607 cents: 2 5 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 35.3621 c. M:-56.2878 c. Lebeng 9: 1 1 2 1 1 1 2 P M ME S SD: 28.4209 c. M: 55.3591 c. Pseudo Pelog, Pelogic-7, Antiionian 12: 2 1 2 2 1 2 2 P M ME S SD: 23.7099 c. M:-46.5003 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 13: 2 1 2 2 2 2 2 SP M ME S SD: 22.6571 c. M:-31.1157 c. Tamashian 15: 2 1 3 2 2 2 3 P D3 SD: 23.0984 c. M: 46.5694 c. 16: 2 2 3 2 2 2 3 SP M ME S SD: 16.9457 c. M:-33.4002 c. Pseudo Pelog, Pelogic-7, Antiionian 17: 2 2 3 2 2 3 3 SP D3 S SD: 16.0501 c. M: 29.2216 c. Safi al-Din's maqam Husaini 18: 2 2 3 3 2 3 3 SP D3 S SD: 15.1065 c. M: 24.9331 c. 21: 3 2 4 3 2 3 4 SP T3 SD: 15.4859 c. M:-22.6859 c. 22: 3 2 4 3 3 3 4 SP D3 SD: 9.0337 c. M: 13.8421 c. Gandhaara Grama (Sarngadeva der. sa-grama) 24: 3 3 4 3 3 4 4 SP D3 S SD: 9.2200 c. M:-13.4306 c. Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian 29: 4 3 5 4 3 5 5 SP SD: 9.0921 c. M: 19.4853 c. 33: 4 4 5 5 4 5 6 SP SD: 9.2006 c. M: 18.8725 c. 34: 4 4 6 5 4 5 6 SP S SD: 6.2007 c. M: 12.3232 c. 45: 6 5 7 7 5 7 8 SP SD: 6.2311 c. M: 11.5998 c. 46: 6 5 8 6 6 7 8 SP SD: 4.7946 c. M: 10.9256 c. 49: 6 6 8 7 6 7 9 SP SD: 5.2393 c. M: 9.1006 c. 51: 6 6 9 7 6 8 9 SP SD: 5.6930 c. M: 12.3232 c. 54: 7 6 9 8 6 8 10 SP SD: 5.0879 c. M: 10.9146 c. 56: 7 6 10 8 7 8 10 SP SD: 4.8095 c. M:-8.5935 c. 58: 7 7 10 8 7 9 10 SP SD: 4.3296 c. M: 8.6721 c. 61: 8 7 10 9 7 9 11 SP SD: 4.5865 c. M:-8.5126 c. 62: 8 7 10 9 8 9 11 SP SD: 4.7134 c. M: 7.7288 c. 63: 8 7 11 9 7 10 11 SP SD: 3.0125 c. M: 5.6922 c. 70: 9 8 12 10 8 11 12 SP SD: 4.0740 c. M:-5.5933 c. 76: 10 8 13 11 9 12 13 SP SD: 3.0735 c. M:-6.0445 c. 79: 10 9 13 12 9 12 14 SP SD: 3.0953 c. M: 5.5239 c. 80: 10 9 14 11 10 12 14 SP SD: 2.8321 c. M:-4.3078 c. 85: 11 9 15 12 10 13 15 SP SD: 2.0250 c. M: 4.2164 c. 92: 12 10 16 13 11 14 16 SP SD: 2.5644 c. M:-4.0524 c. 100: 13 11 17 14 12 15 18 SP SD: 2.4770 c. M: 4.6924 c. 101: 13 11 17 15 12 15 18 SP SD: 2.3743 c. M: 4.4711 c. 103: 13 12 17 15 12 16 18 SP SD: 2.3354 c. M:-4.6927 c. 109: 14 12 19 15 13 17 19 SP SD: 2.0765 c. M:-3.8130 c. 112: 14 13 19 16 13 17 20 SP SD: 2.2672 c. M: 3.4997 c. 118: 15 13 20 17 14 18 21 SP SD: 2.1028 c. M: 3.4642 c. 125: 16 14 21 18 15 19 22 SP SD: 1.0041 c. M: 1.9998 c. 188: 24 21 32 27 22 29 33 SP SD: 0.7166 c. M: 1.4369 c. 210: 27 23 36 30 25 32 37 SP SD: 0.4555 c. M: 0.8551 c. 335: 43 37 57 48 40 51 59 SP SD: 0.4240 c. M: 0.8535 c. 369: 47 41 63 53 44 56 65 SP SD: 0.4839 c. M:-0.8119 c. 398: 51 44 68 57 47 61 70 SP SD: 0.3088 c. M: 0.6671 c. 478: 61 53 82 68 57 73 84 SP SD: 0.3383 c. M:-0.4504 c. 523: 67 58 89 75 62 80 92 SP SD: 0.2963 c. M: 0.5864 c. 532: 68 59 91 76 63 81 94 SP SD: 0.3274 c. M: 0.7225 c. 539: 69 60 92 77 64 82 95 SP SD: 0.3401 c. M:-0.6291 c. 557: 71 62 95 80 66 85 98 SP SD: 0.3137 c. M: 0.5374 c. 603: 77 67 103 86 72 92 106 SP SD: 0.2544 c. M: 0.4130 c. 657: 84 73 112 94 78 100 116 SP SD: 0.2642 c. M: 0.5645 c. 733: 94 81 125 105 87 112 129 SP SD: 0.2535 c. M: 0.4675 c. 749: 96 83 128 107 89 114 132 SP SD: 0.2077 c. M:-0.3054 c. 767: 98 85 131 110 91 117 135 SP SD: 0.2039 c. M: 0.3351 c. 876: 112 97 150 125 104 134 154 SP SD: 0.2016 c. M:-0.3487 c. 925: 118 103 158 132 110 141 163 SP SD: 0.1925 c. M: 0.4186 c. 937: 120 104 160 134 111 143 165 SP SD: 0.1948 c. M:-0.3036 c. 959: 123 106 164 137 114 146 169 SP SD: 0.1897 c. M:-0.4106 c. 1001: 128 111 171 143 119 153 176 SP SD: 0.1472 c. M:-0.3186 c. 1010: 129 112 173 144 120 154 178 SP SD: 0.1917 c. M:-0.2814 c. 1084: 139 120 185 155 129 165 191 SP SD: 0.1819 c. M:-0.3748 c. 1118: 143 124 191 160 133 170 197 SP SD: 0.1791 c. M:-0.3901 c. 1135: 145 126 194 162 135 173 200 SP SD: 0.1212 c. M: 0.1957 c. 1345: 172 149 230 192 160 205 237 SP SD: 0.1162 c. M: 0.1999 c. 1352: 173 150 231 193 161 206 238 SP SD: 0.1142 c. M:-0.2250 c. 1448: 185 161 247 207 172 221 255 SP SD: 0.1372 c. M: 0.1848 c. 1470: 188 163 251 210 175 224 259 SP SD: 0.1228 c. M: 0.2424 c. 1516: 194 168 259 217 180 231 267 SP SD: 0.1008 c. M:-0.2250 c. 1533: 196 170 262 219 182 234 270 SP SD: 0.0967 c. M: 0.2127 c. 1540: 197 171 263 220 183 235 271 SP SD: 0.0939 c. M:-0.1839 c. 1658: 212 184 283 237 197 253 292 SP SD: 0.1011 c. M: 0.1643 c. 1750: 224 194 299 250 208 267 308 SP SD: 0.0645 c. M:-0.1076 c. 2282: 292 253 390 326 271 348 402 SP SD: 0.0570 c. M: 0.0859 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: 19.4277 cents 3 x x 4 x 5 x 6 S SD: 26.3100 cents 4 x 5 x 6 x 7:8 S SD: 27.2183 cents 5 x 6 x 7:8:9:10 S SD: 18.1536 cents 6 x 7:8:9:10:11:12 S SD: 18.1113 cents 7 x 8:9:10:11:12:14 S SD: 18.2335 cents 8:9 x 11:12:13:14:16 SD: 16.0082 cents 9:10:11:12:13:14:16:18 S SD: 11.9498 cents 10:11:12:13:15:16:18:20 SD: 9.8813 cents 12:13:14:16:18:19:21:24 SD: 7.3672 cents 17:19:20:23:25:27:30:34 SD: 7.3283 cents 18:20:21:24:26:29:32:36 SD: 7.0277 cents 19:21:22:25:28:30:34:38 SD: 6.9667 cents 21:23:25:28:31:33:37:42 SD: 4.5617 cents 22:24:26:29:32:35:39:44 SD: 2.8948 cents 34:37:40:45:50:54:60:68 SD: 1.9719 cents 52:57:61:69:76:83:92:104 SD: 1.9713 cents 54:59:64:72:79:86:96:108 SD: 1.8798 cents 55:60:65:73:81:88:97:110 SD: 1.8775 cents 56:61:66:74:82:89:99:112 SD: 1.7099 cents 66:72:78:88:97:105:117:132 SD: 1.2676 cents 73:80:86:97:107:116:129:146 SD: 1.0987 cents 88:96:104:117:129:140:156:176 SD: 0.7557 cents 118:129:139:157:173:188:209:236 SD: 0.6271 cents 140:153:165:186:205:223:248:280 SD: 0.5407 cents 161:176:190:214:236:256:285:322 SD: 0.4633 cents 182:199:215:242:267:290:322:364 SD: 0.4387 cents 195:213:230:259:286:311:345:390 SD: 0.4016 cents 204:223:241:271:299:325:361:408 SD: 0.3642 cents 216:236:255:287:317:344:382:432 SD: 0.3073 cents 238:260:281:316:349:379:421:476 SD: 0.2715 cents 283:309:334:376:415:451:501:566 SD: 0.2591 cents 322:352:380:428:472:513:570:644 SD: 0.2501 cents 334:365:394:444:490:532:591:668 SD: 0.2321 cents 356:389:420:473:522:567:630:712 SD: 0.1257 cents 572:625:675:760:839:911:1013:1144 SD: 0.1239 cents