Scala analysis: CD14_16_Algeria
Perle de rosée - L'ensemble d'Al-'Arabî Ben Sârî (rasd al-dhil, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 95.508 cents 95.507740 2: 292.738 cents 292.737735 3: 478.042 cents 478.042093 4: 787.637 cents 787.636962 5: 991.387 cents 991.386653 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 208.6133 cents 208.6133 1: 95.5077 cents 95.5077 2: 197.2300 cents 197.2300 3: 185.3044 cents 185.3044 4: 309.5949 cents 309.5949 5: 203.7497 cents 203.7497 6: 208.6133 cents 208.6133
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 95.50774 cents 1: 1 185.30436 cents 1: 1 197.22999 cents 1: 1 203.74969 cents 1: 1 208.61335 cents 1: 1 309.59487 cents 2: 1 292.73773 cents 2: 1 304.12109 cents 2: 1 382.53435 cents 2: 1 412.36304 cents 2: 1 494.89923 cents 2: 1 513.34456 cents 3: 1 478.04209 cents 3: 1 501.35108 cents 3: 1 507.87078 cents 3: 1 692.12922 cents 3: 1 698.64892 cents 3: 1 721.95791 cents 4: 1 686.65544 cents 4: 1 705.10077 cents 4: 1 787.63696 cents 4: 1 817.46565 cents 4: 1 895.87891 cents 4: 1 907.26227 cents 5: 1 890.40513 cents 5: 1 991.38665 cents 5: 1 996.25031 cents 5: 1 1002.77001 cents 5: 1 1014.69564 cents 5: 1 1104.49226 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 : 95.5 292.7 478.0 787.6 991.4 1200.0 95.5 : 197.2 382.5 692.1 895.9 1104.5 1200.0 292.7 : 185.3 494.9 698.6 907.3 1002.8 1200.0 478.0 : 309.6 513.3 722.0 817.5 1014.7 1200.0 787.6 : 203.7 412.4 507.9 705.1 890.4 1200.0 991.4 : 208.6 304.1 501.4 686.7 996.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 95.5077 .. 309.5949 cents 214.08713 cents 95.50774 cents 2: 292.7377 .. 513.3446 cents 220.60682 cents -16.85713 cents 3: 478.0421 .. 721.9579 cents 243.91581 cents -35.30247 cents 4: 686.6554 .. 907.2623 cents 220.60683 cents -35.30247 cents 5: 890.4051 .. 1104.4923 cents 214.08713 cents -16.85713 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 95.50774 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 309.59487 cents Average / Smallest step : 2.094071 Largest / Average step : 1.547974 Largest / Smallest step : 3.241568 Median interval of one step : 200.48984 cents, amount: 0 Least squares average step : 191.45704 cents, oct.: 1148.74224 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : ACBFDE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.47378 cents Scale diversity : 1.482279 Lumma stability : 0.159180 Lumma impropriety factor : 0.086933 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 : 4.86366 cents Number of recognisable fifths : 4, average 695.6336 cents Number of appreciable fifths : 3, average 698.6263 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 220.6068 cents: 1 -- Rational properties --
FIT/MODE
6: 0 1 1 2 1 1 N D3 SD: 63.2977 c. M: 95.5077 c. 8: 1 1 1 2 2 1 N D3 S SD: 37.9925 c. M:-58.6133 c. 9: 1 1 2 2 1 2 P D3 SD: 38.0584 c. M: 58.0533 c. 10: 1 1 2 3 1 2 N SD: 34.4286 c. M: 52.7377 c. 11: 1 2 1 3 2 2 N SD: 25.1059 c. M: 41.6785 c. 12: 1 2 2 3 2 2 P G D3 SD: 11.4171 c. M:-21.9579 c. Locrian Hexatonic, Ritsu: Japan, Raga Suddha Todi 21: 2 3 3 6 3 4 N SD: 15.2200 c. M: 20.8992 c. 23: 2 4 3 6 4 4 N SD: 9.8963 c. M:-20.3057 c. 25: 2 4 4 6 5 4 N SD: 10.7093 c. M: 19.6370 c. 27: 2 5 4 7 4 5 P SD: 11.8116 c. M:-18.3734 c. 28: 2 5 4 7 5 5 N SD: 9.0118 c. M: 16.2084 c. 30: 2 5 5 8 5 5 N D3 SD: 10.2762 c. M: 15.5077 c. 33: 3 5 5 9 5 6 N SD: 8.7607 c. M:-13.5832 c. 35: 3 6 5 9 6 6 N SD: 7.2782 c. M:-15.8337 c. 36: 3 6 5 10 6 6 N SD: 8.4593 c. M:-12.3630 c. 37: 3 6 6 9 7 6 N SD: 7.7187 c. M:-14.0188 c. 38: 3 6 6 10 6 7 N SD: 6.4602 c. M: 12.4393 c. 40: 3 7 6 10 7 7 N SD: 4.9524 c. M: 7.6370 c. 50: 4 8 8 13 8 9 N SD: 4.0849 c. M: 7.3867 c. 52: 4 9 8 13 9 9 N SD: 4.4001 c. M:-7.2623 c. 53: 4 9 8 14 9 9 N SD: 3.6563 c. M: 4.9417 c. 63: 5 10 10 16 11 11 N SD: 4.0485 c. M: 7.0234 c. 65: 5 11 10 17 11 11 N SD: 3.8791 c. M:-6.2092 c. 70: 6 11 11 18 12 12 N SD: 3.3872 c. M:-7.3494 c. 73: 6 12 11 19 12 13 N SD: 2.8661 c. M: 5.0853 c. 75: 6 12 12 19 13 13 N SD: 2.5860 c. M: 4.7377 c. 85: 7 14 13 22 14 15 N SD: 2.8108 c. M:-3.7329 c. 87: 7 14 14 22 15 15 N SD: 2.5110 c. M:-4.7165 c. 90: 7 15 14 23 15 16 N SD: 2.3143 c. M: 4.7200 c. 91: 7 15 14 24 15 16 N SD: 2.7853 c. M:-3.5718 c. 98: 8 16 15 25 17 17 N SD: 1.9774 c. M: 3.9635 c. 110: 9 18 17 28 19 19 N SD: 1.8624 c. M:-2.6741 c. 123: 10 20 19 32 21 21 N SD: 2.0399 c. M:-3.7353 c. 126: 10 21 19 33 21 22 N SD: 1.7627 c. M:-2.8392 c. 128: 10 21 20 33 22 22 N SD: 1.4812 c. M:-2.3633 c. 148: 12 24 23 38 25 26 N SD: 1.3028 c. M: 2.1975 c. 151: 12 25 23 39 26 26 N SD: 1.1509 c. M:-1.9908 c. 163: 13 27 25 42 28 28 N SD: 1.2554 c. M:-2.4784 c. 189: 15 31 29 49 32 33 N SD: 0.9034 c. M: 1.8516 c. 201: 16 33 31 52 34 35 N SD: 0.2947 c. M: 0.4302 c. 512: 41 84 79 132 87 89 N SD: 0.2655 c. M:-0.5860 c. 565: 45 93 87 146 96 98 N SD: 0.2862 c. M:-0.4718 c. 615: 49 101 95 159 104 107 N SD: 0.2803 c. M:-0.6557 c. 628: 50 103 97 162 107 109 N SD: 0.2918 c. M: 0.3810 c. 640: 51 105 99 165 109 111 N SD: 0.2361 c. M:-0.4883 c. 655: 52 108 101 169 111 114 N SD: 0.2266 c. M:-0.3920 c. 713: 57 117 110 184 121 124 N SD: 0.1842 c. M:-0.4249 c. 730: 58 120 113 188 124 127 N SD: 0.1938 c. M:-0.3141 c. 841: 67 138 130 217 143 146 N SD: 0.1563 c. M:-0.2899 c. 856: 68 141 132 221 145 149 N SD: 0.1882 c. M: 0.2652 c. 881: 70 145 136 227 150 153 N SD: 0.1867 c. M: 0.3498 c. 914: 73 150 141 236 155 159 N SD: 0.1661 c. M:-0.3347 c. 931: 74 153 144 240 158 162 N SD: 0.1347 c. M: 0.1944 c. 1042: 83 171 161 269 177 181 N SD: 0.1314 c. M: 0.2233 c. 1082: 86 178 167 279 184 188 N SD: 0.1123 c. M: 0.2063 c. 1132: 90 186 175 292 192 197 N SD: 0.1200 c. M: 0.2206 c. 1283: 102 211 198 331 218 223 N SD: 0.0760 c. M: 0.1077 c. 1484: 118 244 229 383 252 258 N SD: 0.0715 c. M: 0.1445 c. 1496: 119 246 231 386 254 260 N SD: 0.0467 c. M:-0.0636 c. 2209: 176 363 341 570 375 384 N SD: 0.0532 c. M:-0.1011 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 42.8410 cents 3 x x 4:5 x 6 S SD: 32.9228 cents 4 x x 5:6:7:8 S SD: 31.8831 cents 5 x 6:7:8:9:10 S SD: 22.6310 cents 6 x 7:8:9:11:12 SD: 21.6996 cents 7 x 8:9:11:12:14 SD: 19.0325 cents 8 x 9:11:13:14:16 SD: 25.7419 cents 9:10:11:12:14:16:18 S SD: 17.8561 cents 10:11:12:13:16:18:20 SD: 14.2279 cents 12:13:14:16:19:21:24 SD: 9.8538 cents 15:16:18:20:24:27:30 S SD: 8.4219 cents 16:17:19:21:25:28:32 SD: 4.9974 cents 21:22:25:28:33:37:42 SD: 4.8615 cents 22:23:26:29:35:39:44 SD: 4.1454 cents 31:33:37:41:49:55:62 SD: 3.3677 cents 35:37:41:46:55:62:70 SD: 3.3635 cents 37:39:44:49:58:66:74 SD: 3.0702 cents 38:40:45:50:60:67:76 SD: 2.0770 cents 50:53:59:66:79:89:100 SD: 1.9675 cents 54:57:64:71:85:96:108 SD: 1.1834 cents 87:92:103:115:137:154:174 SD: 1.0128 cents 88:93:104:116:139:156:176 SD: 0.8631 cents 104:110:123:137:164:184:208 SD: 0.7910 cents 120:127:142:158:189:213:240 SD: 0.6936 cents 125:132:148:165:197:222:250 SD: 0.6895 cents 141:149:167:186:222:250:282 SD: 0.3916 cents 229:242:271:302:361:406:458 SD: 0.2673 cents 283:299:335:373:446:502:566 SD: 0.1955 cents 352:372:417:464:555:624:704 SD: 0.1626 cents 406:429:481:535:640:720:812 SD: 0.1622 cents 462:488:547:609:728:819:924 SD: 0.1575 cents 472:499:559:622:744:837:944 SD: 0.1568 cents 493:521:584:650:777:874:986 SD: 0.1335 cents 510:539:604:672:804:904:1020 SD: 0.1318 cents 547:578:648:721:862:970:1094 SD: 0.1260 cents