Scala analysis: CD18_15_Tunisia
'Arûbî - L'ensemble de Muhammad Ghânim (mazmum, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 124.585 cents 124.584517 2: 318.858 cents 318.858376 3: 503.708 cents 503.707779 4: 641.730 cents 641.730341 5: 825.052 cents 825.051602 6: 1034.379 cents 1034.379289 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 165.6207 cents 165.6207 1: 124.5845 cents 124.5845 2: 194.2739 cents 194.2739 3: 184.8494 cents 184.8494 4: 138.0226 cents 138.0226 5: 183.3213 cents 183.3213 6: 209.3277 cents 209.3277 7: 165.6207 cents 165.6207
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 124.58452 cents 1: 1 138.02256 cents 1: 1 165.62071 cents 1: 1 183.32126 cents 1: 1 184.84940 cents 1: 1 194.27386 cents 1: 1 209.32769 cents 2: 1 290.20523 cents 2: 1 318.85838 cents 2: 1 321.34382 cents 2: 1 322.87196 cents 2: 1 374.94840 cents 2: 1 379.12326 cents 2: 1 392.64895 cents 3: 1 484.47909 cents 3: 1 499.53291 cents 3: 1 503.70778 cents 3: 1 506.19323 cents 3: 1 517.14582 cents 3: 1 530.67151 cents 3: 1 558.26966 cents 4: 1 641.73034 cents 4: 1 669.32849 cents 4: 1 682.85418 cents 4: 1 693.80677 cents 4: 1 696.29222 cents 4: 1 700.46709 cents 4: 1 715.52091 cents 5: 1 807.35105 cents 5: 1 820.87674 cents 5: 1 825.05160 cents 5: 1 877.12803 cents 5: 1 878.65618 cents 5: 1 881.14162 cents 5: 1 909.79477 cents 6: 1 990.67231 cents 6: 1 1005.72614 cents 6: 1 1015.15060 cents 6: 1 1016.67874 cents 6: 1 1034.37929 cents 6: 1 1061.97744 cents 6: 1 1075.41548 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 : 124.6 318.9 503.7 641.7 825.1 1034.4 1200.0 124.6 : 194.3 379.1 517.1 700.5 909.8 1075.4 1200.0 318.9 : 184.8 322.9 506.2 715.5 881.1 1005.7 1200.0 503.7 : 138.0 321.3 530.7 696.3 820.9 1015.2 1200.0 641.7 : 183.3 392.6 558.3 682.9 877.1 1062.0 1200.0 825.1 : 209.3 374.9 499.5 693.8 878.7 1016.7 1200.0 1034.4: 165.6 290.2 484.5 669.3 807.4 990.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 124.5845 .. 209.3277 cents 84.74317 cents 124.58452 cents 2: 290.2052 .. 392.6489 cents 102.44372 cents 80.87754 cents 3: 484.4791 .. 558.2697 cents 73.79057 cents 91.83014 cents 4: 641.7303 .. 715.5209 cents 73.79057 cents 83.46068 cents 5: 807.3511 .. 909.7948 cents 102.44372 cents 91.83014 cents 6: 990.6723 .. 1075.4155 cents 84.74317 cents 80.87754 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 124.58452 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 209.32769 cents Average / Smallest step : 1.376002 Largest / Average step : 1.221078 Largest / Smallest step : 1.680206 Median interval of one step : 183.32126 cents, amount: 1 Least squares average step : 168.37057 cents, oct.: 1178.59399 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : AFEBDGC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 80.87754 cents Scale diversity : 1.477604 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.565038 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 : 1.52814 cents Number of recognisable fifths : 4, average 701.5217 cents Number of appreciable fifths : 3, average 696.8554 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 84.7432 cents: 4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 28.9837 c. M:-46.8441 c. Lebeng 10: 1 2 1 1 2 2 1 P D3 S SD: 30.0519 c. M:-45.6207 c. 12: 1 2 2 1 2 2 2 P M ME S SD: 25.4242 c. M: 41.7303 c. G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, G.M.Hyperaeolian, Rut biscale descending, Pien chih: China, Makam Lami, Yishtabach: Jewish 15: 1 3 2 2 2 3 2 P D3 SD: 21.4253 c. M: 44.5845 c. 16: 2 2 3 2 2 3 2 SP M ME S SD: 20.0208 c. M:-33.2697 c. Antimixolydian 17: 2 3 2 2 3 3 2 SP D3 S SD: 19.4649 c. M:-34.0828 c. Dastgah-e Sehgah 19: 2 3 3 2 3 3 3 SP M ME S SD: 10.0203 c. M: 23.8530 c. Nineteen-tone Locrian 20: 2 3 3 3 3 3 3 SP M ME S SD: 15.5963 c. M: 23.7078 c. 22: 2 4 3 3 3 4 3 SP D3 SD: 9.9284 c. M: 15.4936 c. Gandhaara Grama (Somanatha) 26: 3 4 4 3 4 4 4 SP M ME S SD: 9.5566 c. M: 18.9947 c. 28: 3 4 5 3 4 5 4 SP T3 SD: 9.5194 c. M: 18.8584 c. 29: 3 5 4 4 4 5 4 SP D3 SD: 9.4094 c. M:-20.3386 c. 30: 3 5 5 3 5 5 4 SP SD: 8.8301 c. M:-16.2922 c. 34: 3 6 5 4 5 6 5 SP SD: 10.5485 c. M: 18.7022 c. 35: 4 5 6 4 5 6 5 SP T3 SD: 8.5191 c. M:-12.5583 c. 36: 4 6 5 4 6 6 5 SP SD: 7.9283 c. M:-14.4750 c. 38: 4 6 6 4 6 7 5 SP SD: 5.2586 c. M: 10.1514 c. 41: 4 7 6 5 6 7 6 SP SD: 5.8426 c. M: 9.9890 c. 45: 5 7 7 5 7 8 6 SP SD: 4.2054 c. M:-8.7488 c. 58: 6 9 9 7 9 10 8 SP SD: 4.3169 c. M: 8.5135 c. 60: 6 10 9 7 9 11 8 SP SD: 3.7066 c. M:-5.6207 c. 64: 7 10 10 7 10 11 9 SP SD: 3.3508 c. M:-6.6655 c. 67: 7 11 10 8 10 12 9 SP SD: 2.6249 c. M:-4.4267 c. 79: 8 13 12 9 12 14 11 SP SD: 2.7944 c. M: 4.7984 c. 86: 9 14 13 10 13 15 12 SP SD: 1.4018 c. M:-2.0719 c. 166: 17 27 26 19 25 29 23 SP SD: 1.3563 c. M:-2.3163 c. 174: 18 28 27 20 27 30 24 SP SD: 1.1613 c. M:-2.5346 c. 176: 18 29 27 20 27 31 24 SP SD: 1.2713 c. M:-1.9843 c. 183: 19 30 28 21 28 32 25 SP SD: 1.3369 c. M:-2.4531 c. 195: 20 32 30 22 30 34 27 SP SD: 1.0602 c. M: 1.7303 c. 202: 21 33 31 23 31 35 28 SP SD: 0.9504 c. M:-1.9337 c. 234: 24 38 36 27 36 41 32 SP SD: 1.0390 c. M:-1.5181 c. 240: 25 39 37 27 37 42 33 SP SD: 0.9657 c. M: 1.7303 c. 241: 25 39 37 28 37 42 33 SP SD: 0.8460 c. M:-1.5044 c. 252: 26 41 39 29 38 44 35 SP SD: 0.8987 c. M: 1.2421 c. 253: 26 41 39 29 39 44 35 SP SD: 0.9136 c. M: 1.4141 c. 260: 27 42 40 30 40 45 36 SP SD: 0.5467 c. M:-1.1022 c. 327: 34 53 50 38 50 57 45 SP SD: 0.5311 c. M: 0.9555 c. 346: 36 56 53 40 53 60 48 SP SD: 0.4892 c. M: 0.8533 c. 426: 44 69 66 49 65 74 59 SP SD: 0.4893 c. M: 0.6409 c. 434: 45 70 67 50 66 76 60 SP SD: 0.5819 c. M: 1.0885 c. 436: 45 71 67 50 67 76 60 SP SD: 0.4690 c. M: 0.7313 c. 441: 46 71 68 51 67 77 61 SP SD: 0.4353 c. M:-0.5856 c. 464: 48 75 72 53 71 81 64 SP SD: 0.4258 c. M: 0.7549 c. 471: 49 76 73 54 72 82 65 SP SD: 0.3884 c. M:-0.7508 c. 493: 51 80 76 57 75 86 68 SP SD: 0.3764 c. M:-0.8660 c. 522: 54 85 80 60 80 91 72 SP SD: 0.3628 c. M:-0.6819 c. 531: 55 86 82 61 81 93 73 SP SD: 0.3061 c. M:-0.6490 c. 550: 57 89 85 63 84 96 76 SP SD: 0.2542 c. M: 0.3243 c. 617: 64 100 95 71 94 108 85 SP SD: 0.2060 c. M: 0.4163 c. 791: 82 128 122 91 121 138 109 SP SD: 0.1826 c. M: 0.2743 c. 810: 84 131 125 93 124 141 112 SP SD: 0.2098 c. M: 0.3399 c. 877: 91 142 135 101 134 153 121 SP SD: 0.0765 c. M: 0.1730 c. 1348: 140 218 208 155 206 235 186 SP SD: 0.1161 c. M:-0.1709 c. 1427: 148 231 220 164 218 249 197 SP SD: 0.0939 c. M: 0.1478 c. 1434: 149 232 221 165 219 250 198 SP SD: 0.0702 c. M:-0.1107 c. 2051: 213 332 316 236 313 358 283 SP SD: 0.0584 c. M:-0.1029 c. 2304: 239 373 355 265 352 402 318 SP SD: 0.0691 c. M: 0.1084 c. 2311: 240 374 356 266 353 403 319 SP SD: 0.0395 c. M:-0.0697 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: 30.1123 cents 3 x x 4 x 5 x 6 S SD: 19.8589 cents 4 x 5 x 6 x 7:8 S SD: 27.9223 cents 5 x 6 x 7:8:9:10 S SD: 12.5347 cents 6 x 7:8:9:10:11:12 S SD: 16.7528 cents 7 x 8:9:10:11:13:14 SD: 21.2065 cents 8:9:10:11:12:13:15:16 SD: 20.1424 cents 9:10:11:12:13:15:16:18 SD: 13.7022 cents 10:11:12:13:14:16:18:20 S SD: 12.7866 cents 11:12:13:15:16:18:20:22 SD: 8.4153 cents 15:16:18:20:22:24:27:30 S SD: 4.6794 cents 24:26:29:32:35:39:44:48 SD: 4.2851 cents 26:28:31:35:38:42:47:52 SD: 3.7437 cents 29:31:35:39:42:47:53:58 SD: 2.9367 cents 38:41:46:51:55:61:69:76 SD: 2.3043 cents 44:47:53:59:64:71:80:88 SD: 2.0006 cents 53:57:64:71:77:85:96:106 SD: 1.9099 cents 54:58:65:72:78:87:98:108 SD: 1.1999 cents 65:70:78:87:94:105:118:130 SD: 1.1584 cents 80:86:96:107:116:129:145:160 SD: 0.9109 cents 94:101:113:126:136:151:171:188 SD: 0.9041 cents 98:105:118:131:142:158:178:196 SD: 0.9021 cents 109:117:131:146:158:176:198:218 SD: 0.7952 cents 118:127:142:158:171:190:214:236 SD: 0.7481 cents 133:143:160:178:193:214:242:266 SD: 0.5962 cents 149:160:179:199:216:240:271:298 SD: 0.5277 cents 172:185:207:230:249:277:313:344 SD: 0.4984 cents 174:187:209:233:252:280:316:348 SD: 0.4493 cents 187:201:225:250:271:301:340:374 SD: 0.3161 cents 252:271:303:337:365:406:458:504 SD: 0.2219 cents 296:318:356:396:429:477:538:592 SD: 0.2156 cents 361:388:434:483:523:581:656:722 SD: 0.1893 cents 390:419:469:522:565:628:709:780 SD: 0.1814 cents 444:477:534:594:643:715:807:888 SD: 0.1520 cents 470:505:565:629:681:757:854:940 SD: 0.1424 cents 524:563:630:701:759:844:952:1048 SD: 0.1211 cents