Scala analysis: CD14_11_Algeria
Ô gens de l'Andalousie - L'ensemble d'Al-'Arabî Ben Sârî (raml al-maya, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 189.476 cents 189.475988 2: 304.562 cents 304.561597 3: 500.432 cents 500.431573 4: 615.294 cents 615.293905 5: 691.503 cents 691.502601 6: 832.298 cents 832.298161 7: 1002.593 cents 1002.593292 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 197.4067 cents 197.4067 1: 189.4760 cents 189.4760 2: 115.0856 cents 115.0856 3: 195.8700 cents 195.8700 4: 114.8623 cents 114.8623 5: 76.2087 cents 76.2087 6: 140.7956 cents 140.7956 7: 170.2951 cents 170.2951 8: 197.4067 cents 197.4067
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 76.20870 cents 1: 1 114.86233 cents 1: 1 115.08561 cents 1: 1 140.79556 cents 1: 1 170.29513 cents 1: 1 189.47599 cents 1: 1 195.86998 cents 1: 1 197.40671 cents 2: 1 191.07103 cents 2: 1 217.00426 cents 2: 1 304.56160 cents 2: 1 310.73231 cents 2: 1 310.95558 cents 2: 1 311.09069 cents 2: 1 367.70184 cents 2: 1 386.88270 cents 3: 1 331.86659 cents 3: 1 386.94100 cents 3: 1 387.29939 cents 3: 1 425.81792 cents 3: 1 500.43157 cents 3: 1 501.96830 cents 3: 1 508.49740 cents 3: 1 557.17783 cents 4: 1 502.02661 cents 4: 1 502.16172 cents 4: 1 527.73656 cents 4: 1 584.70610 cents 4: 1 615.29390 cents 4: 1 672.26344 cents 4: 1 697.83828 cents 4: 1 697.97339 cents 5: 1 642.82217 cents 5: 1 691.50260 cents 5: 1 698.03170 cents 5: 1 699.56843 cents 5: 1 774.18208 cents 5: 1 812.70061 cents 5: 1 813.05900 cents 5: 1 868.13341 cents 6: 1 813.11730 cents 6: 1 832.29816 cents 6: 1 888.90931 cents 6: 1 889.04442 cents 6: 1 889.26769 cents 6: 1 895.43840 cents 6: 1 982.99574 cents 6: 1 1008.92897 cents 7: 1 1002.59329 cents 7: 1 1004.13002 cents 7: 1 1010.52401 cents 7: 1 1029.70487 cents 7: 1 1059.20444 cents 7: 1 1084.91439 cents 7: 1 1085.13767 cents 7: 1 1123.79130 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 189.5 304.6 500.4 615.3 691.5 832.3 1002.6 1200.0 189.5 : 115.1 311.0 425.8 502.0 642.8 813.1 1010.5 1200.0 304.6 : 195.9 310.7 386.9 527.7 698.0 895.4 1084.9 1200.0 500.4 : 114.9 191.1 331.9 502.2 699.6 889.0 1004.1 1200.0 615.3 : 76.2 217.0 387.3 584.7 774.2 889.3 1085.1 1200.0 691.5 : 140.8 311.1 508.5 698.0 813.1 1008.9 1123.8 1200.0 832.3 : 170.3 367.7 557.2 672.3 868.1 983.0 1059.2 1200.0 1002.6: 197.4 386.9 502.0 697.8 812.7 888.9 1029.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 76.2087 .. 197.4067 cents 121.19801 cents 76.20870 cents 2: 191.0710 .. 386.8827 cents 195.81167 cents -6.33568 cents 3: 331.8666 .. 557.1778 cents 225.31124 cents -55.01611 cents 4: 502.0266 .. 697.9734 cents 195.94677 cents -55.15121 cents 5: 642.8222 .. 868.1334 cents 225.31124 cents -55.15121 cents 6: 813.1173 .. 1008.9290 cents 195.81167 cents -55.01611 cents 7: 1002.5933 .. 1123.7913 cents 121.19801 cents -6.33568 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 76.20870 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 197.40671 cents Average / Smallest step : 1.968279 Largest / Average step : 1.316045 Largest / Smallest step : 2.590344 Median interval of one step : 155.54535 cents, amount: 0 Least squares average step : 146.22806 cents, oct.: 1169.82449 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : FCGBADEH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.05831 cents Scale diversity : 1.545333 Lumma stability : 0.127014 Lumma impropriety factor : 0.194172 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 0.05831 cents Number of recognisable fifths : 5, average 696.9829 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 0 1 1 2 N T3 SD: 61.2653 c. M: 102.5933 c. 9: 1 1 2 1 0 1 2 1 N D3 SD: 41.9451 c. M:-64.0734 c. 10: 2 1 1 1 1 1 1 2 N D3 I SD: 33.4721 c. M:-55.4384 c. 12: 2 1 2 1 1 1 2 2 N SD: 13.6371 c. M: 32.2982 c. 17: 3 1 3 2 1 2 2 3 N SD: 16.0495 c. M:-22.2887 c. 19: 3 2 3 2 1 2 3 3 N SD: 8.7640 c. M:-16.2850 c. 31: 5 3 5 3 2 4 4 5 N SD: 7.7685 c. M:-19.3147 c. 33: 5 3 6 3 2 4 5 5 N SD: 8.5750 c. M:-15.5885 c. 34: 5 4 5 3 3 4 4 6 N SD: 12.4747 c. M: 15.2939 c. 35: 6 3 6 3 2 4 5 6 N SD: 9.1294 c. M:-16.2383 c. 36: 6 3 6 3 3 4 5 6 N SD: 7.4637 c. M: 15.2939 c. 37: 6 3 6 4 2 5 5 6 N SD: 8.7917 c. M: 13.9451 c. 38: 6 4 6 3 3 4 6 6 N SD: 8.5379 c. M: 15.2939 c. 43: 7 4 7 4 3 5 6 7 N SD: 3.7442 c. M:-6.1718 c. 62: 10 6 10 6 4 7 9 10 N SD: 3.7036 c. M:-5.2716 c. 78: 12 8 13 7 5 9 11 13 N SD: 3.4617 c. M:-7.2607 c. 82: 13 8 13 8 5 10 12 13 N SD: 3.2644 c. M:-7.1628 c. 84: 13 8 14 8 5 10 12 14 N SD: 3.3593 c. M: 5.7883 c. 91: 14 9 15 9 5 11 13 15 N SD: 3.1976 c. M: 5.7883 c. 94: 15 9 15 9 6 11 14 15 N SD: 2.8769 c. M:-5.9173 c. 95: 15 9 16 9 6 11 13 16 N SD: 3.0232 c. M:-4.8316 c. 99: 16 9 16 10 6 12 14 16 N SD: 2.9894 c. M:-4.4634 c. 101: 16 10 16 10 6 12 14 17 N SD: 2.6158 c. M: 4.5735 c. 107: 17 10 18 10 7 12 15 18 N SD: 2.8518 c. M: 4.4625 c. 108: 17 10 18 10 7 13 15 18 N SD: 2.5851 c. M: 4.5616 c. 110: 17 11 18 10 7 13 16 18 N SD: 2.9023 c. M: 4.3848 c. 111: 18 10 18 11 7 13 16 18 N SD: 2.4599 c. M:-5.1186 c. 113: 18 11 18 11 7 13 16 19 N SD: 2.5721 c. M: 4.3632 c. 115: 18 11 19 11 7 14 16 19 N SD: 1.6446 c. M: 2.8069 c. 127: 20 12 21 12 8 15 18 21 N SD: 1.1818 c. M: 2.1994 c. 146: 23 14 24 14 9 17 21 24 N SD: 1.0288 c. M: 2.1612 c. 170: 27 16 28 16 11 20 24 28 N SD: 0.7731 c. M: 1.1763 c. 189: 30 18 31 18 12 22 27 31 N SD: 0.6772 c. M:-1.1557 c. 304: 48 29 50 29 19 36 43 50 N SD: 0.5328 c. M:-0.8842 c. 316: 50 30 52 30 20 37 45 52 N SD: 0.5013 c. M:-0.8342 c. 394: 62 38 64 38 25 46 56 65 N SD: 0.5382 c. M: 0.9392 c. 425: 67 41 69 41 27 50 60 70 N SD: 0.3990 c. M: 0.6669 c. 437: 69 42 71 42 28 51 62 72 N SD: 0.3413 c. M: 0.6604 c. 552: 87 53 90 53 35 65 78 91 N SD: 0.2891 c. M: 0.4316 c. 564: 89 54 92 54 36 66 80 93 N SD: 0.3196 c. M: 0.4656 c. 571: 90 55 93 55 36 67 81 94 N SD: 0.2389 c. M:-0.4679 c. 614: 97 59 100 59 39 72 87 101 N SD: 0.2356 c. M:-0.3541 c. 741: 117 71 121 71 47 87 105 122 N SD: 0.0835 c. M: 0.1641 c. 1671: 264 160 273 160 106 196 237 275 N SD: 0.0871 c. M:-0.1460 c. 2108: 333 202 344 202 134 247 299 347 N SD: 0.0835 c. M:-0.1483 c. 2206: 348 212 360 211 140 259 313 363 N SD: 0.0832 c. M: 0.1741 c. 2249: 355 216 367 215 143 264 319 370 N SD: 0.0624 c. M:-0.1071 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 5.2262 cents 3 x x 4 x x 5 x 6 S SD: 17.3717 cents 4 x 5 x x 6 x 7:8 S SD: 22.2667 cents 5 x 6 x 7 x 8:9:10 S SD: 8.4116 cents 6 x 7:8 x 9:10:11:12 S SD: 13.3679 cents 7:8 x 9:10 x 11:13:14 SD: 19.1996 cents 8:9:10:11 x 12:13:14:16 S SD: 14.8450 cents 9:10:11:12:13 x 15:16:18 SD: 10.2009 cents 10:11:12:13:14:15:16:18:20 S SD: 8.4900 cents 11:12:13:15:16 x 18:20:22 SD: 10.7422 cents 12:13:14:16:17:18:19:21:24 SD: 10.2834 cents 13 x 16:17 x 19:21:23:26 SD: 12.6134 cents 14:16:17:19:20:21:23:25:28 SD: 8.2786 cents 15:17:18:20:21:22:24:27:30 SD: 7.2074 cents 16:18:19:21:23:24:26:29:32 SD: 5.8774 cents 18:20:21:24:26:27:29:32:36 SD: 5.7643 cents 21:23:25:28:30:31:34:37:42 SD: 5.3431 cents 24:27:29:32:34:36:39:43:48 SD: 4.1880 cents 26:29:31:35:37:39:42:46:52 SD: 2.9453 cents 33:37:39:44:47:49:53:59:66 SD: 2.8828 cents 36:40:43:48:51:54:58:64:72 SD: 2.5361 cents 42:47:50:56:60:63:68:75:84 SD: 1.5795 cents 63:70:75:84:90:94:102:112:126 SD: 1.3423 cents 68:76:81:91:97:101:110:121:136 SD: 1.2256 cents 78:87:93:104:111:116:126:139:156 SD: 0.9274 cents 104:116:124:139:148:155:168:186:208 SD: 0.8195 cents 110:123:131:147:157:164:178:196:220 SD: 0.6839 cents 120:134:143:160:171:179:194:214:240 SD: 0.5000 cents 167:186:199:223:238:249:270:298:334 SD: 0.4661 cents 173:193:206:231:247:258:280:309:346 SD: 0.4187 cents 208:232:248:278:297:310:336:371:416 SD: 0.4039 cents 209:233:249:279:298:312:338:373:418 SD: 0.3875 cents 218:243:260:291:311:325:353:389:436 SD: 0.3356 cents 251:280:299:335:358:374:406:448:502 SD: 0.2731 cents 269:300:321:359:384:401:435:480:538 SD: 0.2484 cents 328:366:391:438:468:489:530:585:656 SD: 0.2349 cents 363:405:433:485:518:541:587:648:726 SD: 0.2154 cents 379:423:452:506:541:565:613:676:758 SD: 0.1774 cents 442:493:527:590:631:659:715:789:884 SD: 0.1717 cents 468:522:558:625:668:698:757:835:936 SD: 0.1419 cents 483:539:576:645:689:720:781:862:966 SD: 0.1073 cents 546:609:651:729:779:814:883:974:1092 SD: 0.0917 cents