Scala analysis: CD14_09_Algeria
Je t'aime - L'ensemble d'Al-'Arabî Ben Sârî (raml al-ashiyya, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 224.031 cents 224.031387 2: 305.374 cents 305.374463 3: 506.559 cents 506.559100 4: 701.525 cents 701.525258 5: 788.974 cents 788.973964 6: 1003.813 cents 1003.813051 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 196.1869 cents 196.1869 1: 224.0314 cents 224.0314 2: 81.3431 cents 81.3431 3: 201.1846 cents 201.1846 4: 194.9662 cents 194.9662 5: 87.4487 cents 87.4487 6: 214.8391 cents 214.8391 7: 196.1869 cents 196.1869
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 81.34308 cents 1: 1 87.44871 cents 1: 1 194.96616 cents 1: 1 196.18695 cents 1: 1 201.18464 cents 1: 1 214.83909 cents 1: 1 224.03139 cents 2: 1 282.41486 cents 2: 1 282.52771 cents 2: 1 302.28779 cents 2: 1 305.37446 cents 2: 1 396.15080 cents 2: 1 411.02604 cents 2: 1 420.21834 cents 3: 1 477.49387 cents 3: 1 483.59950 cents 3: 1 497.25395 cents 3: 1 498.47474 cents 3: 1 501.56141 cents 3: 1 506.55910 cents 3: 1 635.05742 cents 4: 1 564.94258 cents 4: 1 693.44090 cents 4: 1 698.43859 cents 4: 1 701.52526 cents 4: 1 702.74605 cents 4: 1 716.40050 cents 4: 1 722.50613 cents 5: 1 779.78166 cents 5: 1 788.97396 cents 5: 1 803.84920 cents 5: 1 894.62554 cents 5: 1 897.71221 cents 5: 1 917.47229 cents 5: 1 917.58514 cents 6: 1 975.96861 cents 6: 1 985.16091 cents 6: 1 998.81536 cents 6: 1 1003.81305 cents 6: 1 1005.03384 cents 6: 1 1112.55129 cents 6: 1 1118.65692 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 : 224.0 305.4 506.6 701.5 789.0 1003.8 1200.0 224.0 : 81.3 282.5 477.5 564.9 779.8 976.0 1200.0 305.4 : 201.2 396.2 483.6 698.4 894.6 1118.7 1200.0 506.6 : 195.0 282.4 497.3 693.4 917.5 998.8 1200.0 701.5 : 87.4 302.3 498.5 722.5 803.8 1005.0 1200.0 789.0 : 214.8 411.0 635.1 716.4 917.6 1112.6 1200.0 1003.8: 196.2 420.2 501.6 702.7 897.7 985.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 81.3431 .. 224.0314 cents 142.68831 cents 81.34308 cents 2: 282.4149 .. 420.2183 cents 137.80347 cents 58.38348 cents 3: 477.4939 .. 635.0574 cents 157.56355 cents 57.27554 cents 4: 564.9426 .. 722.5061 cents 157.56355 cents -70.11485 cents 5: 779.7817 .. 917.5851 cents 137.80347 cents 57.27554 cents 6: 975.9686 .. 1118.6569 cents 142.68831 cents 58.38348 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 81.34308 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 224.03139 cents Average / Smallest step : 2.107476 Largest / Average step : 1.306850 Largest / Smallest step : 2.754154 Median interval of one step : 196.18695 cents, amount: 1 Least squares average step : 168.05933 cents, oct.: 1176.41534 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : GAECBFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 57.27554 cents Scale diversity : 1.481862 Lumma stability : 0.328337 Lumma impropriety factor : 0.058429 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 : 0.11285 cents Number of recognisable fifths : 5, average 702.5103 cents Number of appreciable fifths : 4, average 699.0377 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 142.6883 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 37.3051 c. M:-68.1689 c. Lebeng 9: 2 0 2 1 1 2 1 N D3 SD: 36.4891 c. M:-62.8536 c. 10: 2 1 1 2 1 1 2 P D3 I SD: 35.4741 c. M:-54.6255 c. 11: 2 1 2 1 1 2 2 N D3 SD: 27.6702 c. M: 46.9798 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 10.6090 c. M: 24.0314 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 17: 3 1 3 3 1 3 3 N M DE S SD: 13.3804 c. M: 23.0215 c. Seventeen-tone Natural Minor 26: 5 2 4 4 2 5 4 N S SD: 9.2422 c. M:-17.7025 c. 29: 5 2 5 5 2 5 5 N M DE S SD: 10.4669 c. M: 17.1348 c. Twenty-nine tone Minor 31: 6 2 5 5 2 6 5 N S SD: 7.0234 c. M: 14.7804 c. 33: 6 2 6 5 3 6 5 N SD: 9.9327 c. M: 14.4654 c. 35: 7 2 6 5 3 6 6 N SD: 9.7529 c. M:-15.9686 c. 36: 7 2 6 6 3 6 6 N SD: 6.5123 c. M:-11.0260 c. 38: 7 3 6 6 3 7 6 N S SD: 5.4828 c. M:-10.4150 c. 43: 8 3 7 7 3 8 7 N S SD: 3.6656 c. M: 7.5786 c. 55: 10 4 9 9 4 10 9 N S SD: 3.3869 c. M: 5.8496 c. 68: 13 4 12 11 5 12 11 N SD: 4.3859 c. M:-5.3804 c. 70: 13 5 12 11 5 13 11 N SD: 4.3298 c. M:-7.7266 c. 73: 14 5 12 12 5 13 12 N SD: 4.2143 c. M:-6.9543 c. 74: 14 5 12 12 6 13 12 N SD: 3.4501 c. M:-5.6206 c. 75: 14 5 13 12 5 14 12 N SD: 3.3783 c. M:-5.4409 c. 79: 15 5 13 13 6 14 13 N SD: 2.8111 c. M: 5.2933 c. 85: 16 6 14 14 6 15 14 N SD: 2.8571 c. M:-5.2138 c. 87: 16 6 15 14 6 16 14 N SD: 2.6745 c. M:-3.7857 c. 91: 17 6 15 15 7 16 15 N SD: 2.6361 c. M: 5.4602 c. 97: 18 7 16 16 7 17 16 N SD: 2.4336 c. M:-3.9039 c. 102: 19 7 17 17 7 18 17 N SD: 2.2373 c. M:-4.3571 c. 106: 20 7 18 17 8 19 17 N SD: 2.3966 c. M:-3.7341 c. 111: 21 7 19 18 8 20 18 N SD: 1.7920 c. M:-2.9956 c. 123: 23 8 21 20 9 22 20 N SD: 1.3576 c. M: 2.9354 c. 145: 27 10 24 24 10 26 24 N SD: 1.7447 c. M: 2.7671 c. 149: 28 10 25 24 11 27 24 N SD: 1.3364 c. M:-2.8984 c. 154: 29 10 26 25 11 28 25 N SD: 1.2967 c. M: 1.9610 c. 161: 30 11 27 26 12 29 26 N SD: 1.0729 c. M:-2.3981 c. 166: 31 11 28 27 12 30 27 N SD: 0.8903 c. M: 1.7600 c. 221: 41 15 37 36 16 40 36 N SD: 1.2268 c. M: 1.6436 c. 225: 42 15 38 37 16 40 37 N SD: 1.1631 c. M:-2.4747 c. 234: 44 16 39 38 17 42 38 N SD: 1.3442 c. M:-2.3178 c. 236: 44 16 40 38 17 42 39 N SD: 1.1378 c. M: 2.1181 c. 239: 45 16 40 39 17 43 39 N SD: 1.0248 c. M:-1.9100 c. 240: 45 16 40 39 18 43 39 N SD: 1.0887 c. M: 1.5591 c. 246: 46 17 41 40 18 44 40 N SD: 1.0730 c. M:-1.9426 c. 251: 47 17 42 41 18 45 41 N SD: 0.5975 c. M:-1.2636 c. 263: 49 18 44 43 19 47 43 N SD: 0.5017 c. M:-1.1363 c. 306: 57 21 51 50 22 55 50 N SD: 0.4950 c. M: 0.7387 c. 412: 77 28 69 67 30 74 67 N SD: 0.4921 c. M:-1.0413 c. 417: 78 28 70 68 30 75 68 N SD: 0.4132 c. M:-0.6330 c. 429: 80 29 72 70 31 77 70 N SD: 0.3518 c. M:-0.5726 c. 616: 115 42 103 100 45 110 101 N SD: 0.2921 c. M: 0.5663 c. 659: 123 45 110 107 48 118 108 N SD: 0.3980 c. M:-0.5436 c. 660: 123 45 111 107 48 118 108 N SD: 0.3386 c. M:-0.7136 c. 665: 124 45 112 108 48 119 109 N SD: 0.3971 c. M:-0.5086 c. 680: 127 46 114 111 49 122 111 N SD: 0.3427 c. M:-0.8277 c. 691: 129 47 116 112 50 124 113 N SD: 0.3086 c. M: 0.5514 c. 703: 131 48 118 114 51 126 115 N SD: 0.2709 c. M: 0.4183 c. 722: 135 49 121 117 53 129 118 N SD: 0.3214 c. M:-0.4997 c. 727: 136 49 122 118 53 130 119 N SD: 0.2051 c. M:-0.4528 c. 739: 138 50 124 120 54 132 121 N SD: 0.1445 c. M: 0.2948 c. 782: 146 53 131 127 57 140 128 N SD: 0.1664 c. M: 0.2465 c. 905: 169 61 152 147 66 162 148 N SD: 0.1595 c. M: 0.4021 c. 1033: 193 70 173 168 75 185 169 N SD: 0.1356 c. M: 0.2034 c. 1045: 195 71 175 170 76 187 171 N SD: 0.1114 c. M: 0.1767 c. 1194: 223 81 200 194 87 214 195 N SD: 0.1043 c. M:-0.2070 c. 1206: 225 82 202 196 88 216 197 N SD: 0.1044 c. M:-0.1670 c. 1670: 312 113 280 271 122 299 273 N SD: 0.1002 c. M: 0.2079 c. 1682: 314 114 282 273 123 301 275 N SD: 0.0893 c. M: 0.2173 c. 1859: 347 126 312 302 135 333 304 N SD: 0.1071 c. M:-0.1649 c. 1890: 353 128 317 307 138 338 309 N SD: 0.1063 c. M:-0.2324 c. 1895: 354 128 318 308 138 339 310 N SD: 0.1012 c. M: 0.1502 c. 1921: 359 130 322 312 140 344 314 N SD: 0.0959 c. M:-0.2268 c. 1933: 361 131 324 314 141 346 316 N SD: 0.0440 c. M:-0.0762 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: 0.2149 cents 3 x x 4 x 5 x 6 S SD: 31.9213 cents 4 x 5 x 6 x 7:8 S SD: 22.0446 cents 5 x 6:7 x 8:9:10 S SD: 16.3401 cents 6 x 7:8:9 x 11:12 SD: 12.0499 cents 7:8 x 9 x 11:13:14 SD: 19.8097 cents 8:9:10:11:12:13:14:16 S SD: 16.1886 cents 9:10:11:12 x 14:16:18 S SD: 10.8149 cents 11 x 13:15 x 17:20:22 SD: 11.6722 cents 12 x 14:16:18:19:21:24 SD: 8.8548 cents 13:15:16:17 x 21:23:26 SD: 14.1675 cents 14:16:17:19:21:22:25:28 SD: 5.5856 cents 20:23:24:27:30:32:36:40 SD: 5.3386 cents 24:27:29:32:36:38:43:48 SD: 4.6267 cents 26:30:31:35:39:41:46:52 SD: 4.2529 cents 30:34:36:40:45:47:54:60 SD: 3.3798 cents 36:41:43:48:54:57:64:72 SD: 1.9268 cents 42:48:50:56:63:66:75:84 SD: 1.9068 cents 50:57:60:67:75:79:89:100 SD: 1.7672 cents 52:59:62:70:78:82:93:104 SD: 1.4429 cents 73:83:87:98:109:115:130:146 SD: 1.4305 cents 74:84:88:99:111:117:132:148 SD: 1.2628 cents 88:100:105:118:132:139:157:176 SD: 0.6042 cents 94:107:112:126:141:148:168:188 SD: 0.5869 cents 130:148:155:174:195:205:232:260 SD: 0.3500 cents 182:207:217:244:273:287:325:364 SD: 0.2678 cents 218:248:260:292:327:344:389:436 SD: 0.2670 cents 274:312:327:367:411:432:489:548 SD: 0.2648 cents 312:355:372:418:468:492:557:624 SD: 0.1826 cents 426:485:508:571:639:672:761:852 SD: 0.1821 cents 435:495:519:583:652:686:777:870 SD: 0.1755 cents 456:519:544:611:684:719:814:912 SD: 0.1408 cents 556:633:663:745:834:877:993:1112 SD: 0.1392 cents 565:643:674:757:847:891:1009:1130 SD: 0.1040 cents