Scala analysis: CD15_02_Algeria
Ô amoureux - 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: 96.696 cents 96.696319 2: 289.961 cents 289.960927 3: 420.969 cents 420.969119 4: 487.844 cents 487.843699 5: 691.123 cents 691.122841 6: 782.099 cents 782.098547 7: 991.156 cents 991.156162 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 208.8438 cents 208.8438 1: 96.6963 cents 96.6963 2: 193.2646 cents 193.2646 3: 131.0082 cents 131.0082 4: 66.8746 cents 66.8746 5: 203.2791 cents 203.2791 6: 90.9757 cents 90.9757 7: 209.0576 cents 209.0576 8: 208.8438 cents 208.8438
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 66.87458 cents 1: 1 90.97571 cents 1: 1 96.69632 cents 1: 1 131.00819 cents 1: 1 193.26461 cents 1: 1 203.27914 cents 1: 1 208.84384 cents 1: 1 209.05761 cents 2: 1 197.88277 cents 2: 1 270.15372 cents 2: 1 289.96093 cents 2: 1 294.25485 cents 2: 1 300.03332 cents 2: 1 305.54016 cents 2: 1 324.27280 cents 2: 1 417.90145 cents 3: 1 361.12943 cents 3: 1 391.14738 cents 3: 1 401.16191 cents 3: 1 420.96912 cents 3: 1 498.80476 cents 3: 1 503.31246 cents 3: 1 508.87716 cents 3: 1 514.59777 cents 4: 1 487.84370 cents 4: 1 492.13762 cents 4: 1 570.18704 cents 4: 1 594.42652 cents 4: 1 605.57348 cents 4: 1 629.81296 cents 4: 1 707.86238 cents 4: 1 712.15630 cents 5: 1 685.40223 cents 5: 1 691.12284 cents 5: 1 696.68754 cents 5: 1 701.19524 cents 5: 1 779.03088 cents 5: 1 798.83809 cents 5: 1 808.85262 cents 5: 1 838.87057 cents 6: 1 782.09855 cents 6: 1 875.72720 cents 6: 1 894.45984 cents 6: 1 899.96668 cents 6: 1 905.74515 cents 6: 1 910.03907 cents 6: 1 929.84628 cents 6: 1 1002.11723 cents 7: 1 990.94239 cents 7: 1 991.15616 cents 7: 1 996.72086 cents 7: 1 1006.73539 cents 7: 1 1068.99181 cents 7: 1 1103.30368 cents 7: 1 1109.02429 cents 7: 1 1133.12542 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 : 96.7 290.0 421.0 487.8 691.1 782.1 991.2 1200.0 96.7 : 193.3 324.3 391.1 594.4 685.4 894.5 1103.3 1200.0 290.0 : 131.0 197.9 401.2 492.1 701.2 910.0 1006.7 1200.0 421.0 : 66.9 270.2 361.1 570.2 779.0 875.7 1069.0 1200.0 487.8 : 203.3 294.3 503.3 712.2 808.9 1002.1 1133.1 1200.0 691.1 : 91.0 300.0 508.9 605.6 798.8 929.8 996.7 1200.0 782.1 : 209.1 417.9 514.6 707.9 838.9 905.7 1109.0 1200.0 991.2 : 208.8 305.5 498.8 629.8 696.7 900.0 990.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 66.8746 .. 209.0576 cents 142.18303 cents 66.87458 cents 2: 197.8828 .. 417.9015 cents 220.01868 cents -11.17484 cents 3: 361.1294 .. 514.5978 cents 153.46834 cents -56.77202 cents 4: 487.8437 .. 712.1563 cents 224.31260 cents -26.75407 cents 5: 685.4022 .. 838.8706 cents 153.46834 cents -26.75407 cents 6: 782.0985 .. 1002.1172 cents 220.01868 cents -56.77202 cents 7: 990.9424 .. 1133.1254 cents 142.18304 cents -11.17484 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 66.87458 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 209.05761 cents Average / Smallest step : 2.243005 Largest / Average step : 1.393717 Largest / Smallest step : 3.126115 Median interval of one step : 162.13640 cents, amount: 0 Least squares average step : 140.08431 cents, oct.: 1120.67447 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : CEDAFBHG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.06767 cents Scale diversity : 1.601095 Lumma stability : 0.111458 Lumma impropriety factor : 0.157835 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 : 0.21378 cents Number of recognisable fifths : 5, average 701.8049 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 0 2 0 2 1 N T3 SD: 40.5839 c. M:-58.8772 c. 9: 1 1 1 1 1 1 1 2 P M ME SD: 32.8937 c. M: 57.8228 c. 11: 1 2 1 0 2 1 2 2 N SD: 27.8364 c. M: 51.4801 c. 12: 1 2 1 1 2 1 2 2 P D3 S SD: 12.1277 c. M: 20.9691 c. Spanish Phrygian 17: 1 3 2 1 3 1 3 3 N SD: 11.4208 c. M: 26.1081 c. 22: 2 3 3 1 4 1 4 4 N SD: 13.4532 c. M: 18.4622 c. 23: 2 3 3 1 4 2 4 4 N SD: 13.3110 c. M: 29.0914 c. 24: 2 4 3 1 4 2 4 4 N SD: 14.0523 c. M:-29.0309 c. 25: 2 4 3 1 4 2 5 4 N SD: 11.3782 c. M: 19.1228 c. 28: 2 5 3 1 5 2 5 5 N SD: 9.4958 c. M: 16.4151 c. 29: 2 5 3 2 5 2 5 5 N SD: 7.8602 c. M: 13.9377 c. 34: 3 5 4 2 6 2 6 6 N SD: 7.4685 c. M:-14.7595 c. 37: 3 6 4 2 6 3 7 6 N SD: 6.3647 c. M:-14.2492 c. 40: 3 7 4 2 7 3 7 7 N SD: 5.1852 c. M:-10.0391 c. 45: 4 7 5 2 8 3 8 8 N SD: 6.1911 c. M:-9.9703 c. 49: 4 8 5 3 8 4 8 9 N SD: 5.0962 c. M: 11.5643 c. 51: 4 8 6 3 8 4 9 9 N SD: 5.3334 c. M: 8.7699 c. 52: 4 9 5 3 9 4 9 9 N SD: 4.6195 c. M:-10.0391 c. 54: 4 9 6 3 9 4 10 9 N SD: 4.5640 c. M:-8.8438 c. 57: 5 9 6 3 10 4 10 10 N SD: 4.1114 c. M:-8.5668 c. 61: 5 10 6 4 10 5 10 11 N SD: 4.9120 c. M: 7.8544 c. 62: 5 10 7 3 11 4 11 11 N SD: 4.3334 c. M: 7.9050 c. 63: 5 10 7 4 10 5 11 11 N SD: 3.7006 c. M:-7.3944 c. 69: 6 11 7 4 12 5 12 12 N SD: 3.9579 c. M:-7.6515 c. 71: 6 11 8 4 12 5 13 12 N SD: 3.5009 c. M:-6.0269 c. 74: 6 12 8 4 13 5 13 13 N SD: 2.7881 c. M:-6.1745 c. 86: 7 14 9 5 15 6 15 15 N SD: 2.7348 c. M:-6.5516 c. 88: 7 14 10 5 15 6 16 15 N SD: 3.3072 c. M: 4.8258 c. 91: 7 15 10 5 15 7 16 16 N SD: 2.9744 c. M: 5.4086 c. 99: 8 16 11 5 17 8 17 17 N SD: 2.7808 c. M:-5.7802 c. 103: 8 17 11 6 17 8 18 18 N SD: 2.1078 c. M: 3.7442 c. 109: 9 17 12 6 19 8 19 19 N SD: 2.3608 c. M: 3.7224 c. 111: 9 18 12 6 19 8 20 19 N SD: 2.0190 c. M: 3.7202 c. 115: 9 19 12 7 19 9 20 20 N SD: 2.1889 c. M: 3.5778 c. 120: 10 19 13 7 20 9 21 21 N SD: 1.7141 c. M:-3.3037 c. 136: 11 22 15 7 23 11 23 24 N SD: 2.2843 c. M:-3.1956 c. 137: 11 22 15 8 23 10 24 24 N SD: 1.4743 c. M:-2.6672 c. 160: 13 26 17 9 27 12 28 28 N SD: 1.3762 c. M:-2.5391 c. 173: 14 28 19 9 30 13 30 30 N SD: 1.6506 c. M:-2.5188 c. 174: 14 28 19 10 29 13 31 30 N SD: 1.4660 c. M: 2.7882 c. 177: 14 29 19 10 30 13 31 31 N SD: 1.3211 c. M: 2.4375 c. 189: 15 31 20 11 32 14 33 33 N SD: 1.3225 c. M:-2.1026 c. 200: 16 32 22 11 34 15 35 35 N SD: 1.3995 c. M: 2.0985 c. 202: 16 33 22 11 34 16 35 35 N SD: 1.3374 c. M:-2.0599 c. 207: 17 33 23 11 35 16 36 36 N SD: 1.1754 c. M:-2.2193 c. 212: 17 34 23 12 36 16 37 37 N SD: 1.0592 c. M: 2.1012 c. 219: 18 35 24 12 37 17 38 38 N SD: 0.9943 c. M:-1.9338 c. 224: 18 36 25 12 38 17 39 39 N SD: 0.8440 c. M:-2.2452 c. 236: 19 38 26 13 40 18 41 41 N SD: 0.5533 c. M:-1.0648 c. 351: 28 57 38 20 59 27 61 61 N SD: 0.6766 c. M:-1.0452 c. 356: 29 57 39 20 60 27 62 62 N SD: 0.5186 c. M:-1.0565 c. 384: 31 62 42 21 65 29 67 67 N SD: 0.5768 c. M:-0.9059 c. 396: 32 64 43 22 67 30 69 69 N SD: 0.3904 c. M:-0.9482 c. 413: 33 67 45 23 70 31 72 72 N SD: 0.4684 c. M: 0.8125 c. 431: 35 69 47 24 73 33 75 75 N SD: 0.4838 c. M:-0.7515 c. 436: 35 70 48 24 74 33 76 76 N SD: 0.4953 c. M: 0.9701 c. 448: 36 72 49 25 76 34 78 78 N SD: 0.3251 c. M: 0.6752 c. 568: 46 91 62 32 96 43 99 99 N SD: 0.3849 c. M: 0.5466 c. 608: 49 98 66 34 103 46 106 106 N SD: 0.3523 c. M: 0.5744 c. 632: 51 102 69 35 107 48 110 110 N SD: 0.2892 c. M:-0.5499 c. 655: 53 105 72 36 111 50 114 114 N SD: 0.3647 c. M: 0.5155 c. 667: 54 107 73 37 113 51 116 116 N SD: 0.3037 c. M:-0.5101 c. 684: 55 110 75 38 116 52 119 119 N SD: 0.2361 c. M: 0.4872 c. 741: 60 119 81 41 126 56 129 129 N SD: 0.2603 c. M:-0.4697 c. 795: 64 128 87 44 135 60 139 138 N SD: 0.2557 c. M:-0.5420 c. 804: 65 129 88 45 136 61 140 140 N SD: 0.2059 c. M: 0.4087 c. 816: 66 131 89 46 138 62 142 142 N SD: 0.2653 c. M:-0.3916 c. 832: 67 134 91 46 141 63 145 145 N SD: 0.2360 c. M: 0.3678 c. 844: 68 136 92 47 143 64 147 147 N SD: 0.1132 c. M: 0.1660 c. 1080: 87 174 118 60 183 82 188 188 N SD: 0.0745 c. M:-0.1420 c. 1924: 155 310 210 107 326 146 335 335 N SD: 0.0618 c. M: 0.1098 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: 5.4161 cents 3 x x x 4 x 5 x 6 S SD: 34.2559 cents 4 x x 5 x 6 x 7:8 S SD: 10.6565 cents 5 x 6 x 7 x 8:9:10 S SD: 21.2777 cents 6 x 7 x 8:9 x 11:12 SD: 12.8726 cents 7 x 8:9 x 10:11:12:14 S SD: 18.5925 cents 8 x 9:10:11:12:13:14:16 S SD: 18.4417 cents 9:10:11 x 12:13:14:16:18 S SD: 16.9274 cents 10:11:12:13 x 15:16:18:20 SD: 12.9716 cents 11:12:13:14:15:16:17:20:22 SD: 12.4165 cents 12:13:14:15:16:18:19:21:24 SD: 8.2812 cents 13:14:15 x 17:19:20:23:26 SD: 10.9032 cents 14:15:17:18:19:21:22:25:28 SD: 8.6546 cents 15:16:18:19:20:22:24:27:30 S SD: 7.5126 cents 16:17:19:20:21:24:25:28:32 SD: 6.0248 cents 18:19:21:23:24:27:28:32:36 SD: 4.1368 cents 22:23:26:28:29:33:35:39:44 SD: 4.1142 cents 28:30:33:36:37:42:44:50:56 SD: 4.0559 cents 31:33:37:40:41:46:49:55:62 SD: 3.9574 cents 32:34:38:41:42:48:50:57:64 SD: 3.4415 cents 33:35:39:42:44:49:52:59:66 SD: 2.6003 cents 37:39:44:47:49:55:58:66:74 SD: 2.2852 cents 49:52:58:62:65:73:77:87:98 SD: 1.9242 cents 55:58:65:70:73:82:86:98:110 SD: 1.7074 cents 65:69:77:83:86:97:102:115:130 SD: 1.1888 cents 83:88:98:106:110:124:130:147:166 SD: 1.1065 cents 87:92:103:111:115:130:137:154:174 SD: 1.0379 cents 88:93:104:112:117:131:138:156:176 SD: 0.9440 cents 98:104:116:125:130:146:154:174:196 SD: 0.9058 cents 105:111:124:134:139:157:165:186:210 SD: 0.7991 cents 120:127:142:153:159:179:189:213:240 SD: 0.6835 cents 138:146:163:176:183:206:217:245:276 SD: 0.5491 cents 159:168:188:203:211:237:250:282:318 SD: 0.4419 cents 175:185:207:223:232:261:275:310:350 SD: 0.2875 cents 280:296:331:357:371:417:440:496:560 SD: 0.2827 cents 298:315:352:380:395:444:468:528:596 SD: 0.2810 cents 312:330:369:398:414:465:490:553:624 SD: 0.2708 cents 313:331:370:399:415:467:492:555:626 SD: 0.2612 cents 334:353:395:426:443:498:525:592:668 SD: 0.2275 cents 396:419:468:505:525:590:622:702:792 SD: 0.2045 cents 399:422:472:509:529:595:627:707:798 SD: 0.2032 cents 400:423:473:510:530:596:628:709:800 SD: 0.2029 cents 418:442:494:533:554:623:657:741:836 SD: 0.1424 cents 520:550:615:663:689:775:817:922:1040 SD: 0.1388 cents 538:569:636:686:713:802:845:954:1076 SD: 0.1109 cents 559:591:661:713:741:833:878:991:1118 SD: 0.1097 cents