Scala analysis: CD14_15_Algeria
À qui sera le tour pour cette visite ? - L'ensemble d'Al-'Arabî Ben Sârî (maya, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 85.163 cents 85.163259 2: 273.257 cents 273.257085 3: 372.672 cents 372.671980 4: 565.125 cents 565.124581 5: 765.151 cents 765.151152 6: 949.633 cents 949.633264 7: 1065.565 cents 1065.564992 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 134.4350 cents 134.4350 1: 85.1633 cents 85.1633 2: 188.0938 cents 188.0938 3: 99.4149 cents 99.4149 4: 192.4526 cents 192.4526 5: 200.0266 cents 200.0266 6: 184.4821 cents 184.4821 7: 115.9317 cents 115.9317 8: 134.4350 cents 134.4350
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 85.16326 cents 1: 1 99.41489 cents 1: 1 115.93173 cents 1: 1 134.43501 cents 1: 1 184.48211 cents 1: 1 188.09383 cents 1: 1 192.45260 cents 1: 1 200.02657 cents 2: 1 219.59827 cents 2: 1 250.36674 cents 2: 1 273.25709 cents 2: 1 287.50872 cents 2: 1 291.86750 cents 2: 1 300.41384 cents 2: 1 384.50868 cents 2: 1 392.47917 cents 3: 1 335.52999 cents 3: 1 372.67198 cents 3: 1 407.69209 cents 3: 1 434.84885 cents 3: 1 479.96132 cents 3: 1 491.89407 cents 3: 1 500.44041 cents 3: 1 576.96128 cents 4: 1 507.10699 cents 4: 1 520.01211 cents 4: 1 523.62382 cents 4: 1 565.12458 cents 4: 1 634.87542 cents 4: 1 676.37618 cents 4: 1 679.98789 cents 4: 1 692.89301 cents 5: 1 623.03872 cents 5: 1 699.55959 cents 5: 1 708.10593 cents 5: 1 720.03868 cents 5: 1 765.15115 cents 5: 1 792.30791 cents 5: 1 827.32802 cents 5: 1 864.47001 cents 6: 1 807.52083 cents 6: 1 815.49132 cents 6: 1 899.58616 cents 6: 1 908.13250 cents 6: 1 912.49128 cents 6: 1 926.74292 cents 6: 1 949.63326 cents 6: 1 980.40173 cents 7: 1 999.97343 cents 7: 1 1007.54740 cents 7: 1 1011.90617 cents 7: 1 1015.51789 cents 7: 1 1065.56499 cents 7: 1 1084.06827 cents 7: 1 1100.58511 cents 7: 1 1114.83674 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 : 85.2 273.3 372.7 565.1 765.2 949.6 1065.6 1200.0 85.2 : 188.1 287.5 480.0 680.0 864.5 980.4 1114.8 1200.0 273.3 : 99.4 291.9 491.9 676.4 792.3 926.7 1011.9 1200.0 372.7 : 192.5 392.5 577.0 692.9 827.3 912.5 1100.6 1200.0 565.1 : 200.0 384.5 500.4 634.9 720.0 908.1 1007.5 1200.0 765.2 : 184.5 300.4 434.8 520.0 708.1 807.5 1000.0 1200.0 949.6 : 115.9 250.4 335.5 523.6 623.0 815.5 1015.5 1200.0 1065.6: 134.4 219.6 407.7 507.1 699.6 899.6 1084.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 85.1633 .. 200.0266 cents 114.86331 cents 85.16326 cents 2: 219.5983 .. 392.4792 cents 172.88091 cents 19.57170 cents 3: 335.5300 .. 576.9613 cents 241.43129 cents -56.94918 cents 4: 507.1070 .. 692.8930 cents 185.78602 cents -69.85430 cents 5: 623.0387 .. 864.4700 cents 241.43129 cents -69.85430 cents 6: 807.5208 .. 980.4017 cents 172.88091 cents -56.94918 cents 7: 999.9734 .. 1114.8367 cents 114.86331 cents 19.57170 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 85.16326 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 200.02657 cents Average / Smallest step : 1.761323 Largest / Average step : 1.333510 Largest / Smallest step : 2.348743 Median interval of one step : 159.45856 cents, amount: 0 Least squares average step : 149.96423 cents, oct.: 1199.71380 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : AFBGHECD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.66658 cents Scale diversity : 1.677520 Lumma stability : 0.174558 Lumma impropriety factor : 0.211339 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 : 3.61171 cents Number of recognisable fifths : 3, average 700.1862 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 0 2 0 2 1 1 1 1 N T3 SD: 46.6379 c. M: 85.1633 c. 9: 1 1 1 1 2 1 1 1 P M ME SD: 26.4637 c. M:-48.1701 c. 10: 1 1 1 2 1 2 1 1 N D3 SD: 27.5022 c. M: 45.1512 c. 13: 1 2 1 2 2 2 1 2 P D3 SD: 22.7464 c. M: 50.1804 c. 15: 1 2 2 2 3 2 1 2 N SD: 22.0263 c. M:-34.8488 c. 16: 1 3 1 3 2 3 1 2 N SD: 19.8604 c. M:-34.8754 c. 17: 1 3 1 3 3 2 2 2 N SD: 15.3352 c. M: 31.9862 c. 19: 1 3 2 3 3 3 2 2 N SD: 11.6383 c. M: 22.0054 c. 25: 2 4 2 4 4 4 2 3 N SD: 9.9276 c. M:-14.7429 c. 28: 2 4 3 4 5 4 3 3 N SD: 8.7570 c. M: 16.1142 c. 30: 2 5 2 5 5 5 3 3 N SD: 8.6699 c. M:-14.4350 c. 32: 2 5 3 5 5 5 3 4 N SD: 10.3099 c. M: 15.5650 c. 34: 2 6 3 5 6 5 3 4 N SD: 9.5005 c. M:-15.5633 c. 36: 2 6 3 6 6 5 4 4 N SD: 9.3086 c. M: 18.4966 c. 38: 3 6 3 6 6 6 4 4 N SD: 6.9425 c. M:-10.9534 c. 39: 3 6 3 6 7 6 4 4 N SD: 6.7724 c. M:-11.3581 c. 42: 3 7 3 7 7 6 4 5 N SD: 6.6429 c. M:-12.4572 c. 43: 3 7 3 7 7 7 4 5 N SD: 6.5666 c. M: 11.6628 c. 44: 3 7 4 7 7 7 4 5 N SD: 4.7837 c. M:-9.1462 c. 53: 4 8 4 9 9 8 5 6 N SD: 4.5581 c. M: 10.4078 c. 56: 4 9 4 9 10 8 6 6 N SD: 5.9402 c. M: 8.3863 c. 57: 4 9 5 9 9 9 6 6 N SD: 4.6777 c. M:-8.1192 c. 58: 4 9 5 9 10 9 5 7 N SD: 4.7313 c. M: 10.3926 c. 61: 4 10 5 10 10 9 6 7 N SD: 3.8788 c. M: 6.4747 c. 70: 5 11 6 11 12 10 7 8 N SD: 3.7807 c. M: 6.7761 c. 71: 5 11 6 11 12 11 7 8 N SD: 3.4498 c. M: 7.3781 c. 72: 5 11 6 12 12 11 7 8 N SD: 3.3330 c. M: 6.5904 c. 80: 6 12 7 13 13 12 8 9 N SD: 3.2596 c. M:-4.8754 c. 83: 6 13 7 13 14 13 8 9 N SD: 2.6811 c. M:-4.5836 c. 96: 7 15 8 15 16 15 9 11 N SD: 2.1611 c. M: 3.0650 c. 97: 7 15 8 16 16 15 9 11 N SD: 2.1224 c. M:-3.9476 c. 100: 7 16 8 16 17 15 10 11 N SD: 1.8475 c. M:-2.8488 c. 115: 8 18 10 18 19 18 11 13 N SD: 1.9803 c. M: 3.4120 c. 125: 9 20 10 20 21 19 12 14 N SD: 2.2720 c. M:-5.1429 c. 126: 9 20 10 20 21 20 12 14 N SD: 2.2395 c. M: 3.2464 c. 132: 9 21 11 21 22 20 13 15 N SD: 2.1553 c. M: 4.1787 c. 136: 10 21 11 22 23 21 13 15 N SD: 2.1076 c. M:-3.3079 c. 140: 10 22 11 23 23 22 13 16 N SD: 2.0719 c. M: 4.1006 c. 141: 10 22 12 22 24 22 13 16 N SD: 2.0033 c. M:-3.5582 c. 144: 10 23 12 23 24 22 14 16 N SD: 1.4929 c. M:-2.3280 c. 168: 12 26 14 27 28 26 16 19 N SD: 1.0257 c. M: 1.8285 c. 212: 15 33 18 34 35 33 20 24 N SD: 1.0536 c. M: 1.5590 c. 215: 15 34 18 34 36 33 21 24 N SD: 0.9261 c. M: 1.4423 c. 229: 16 36 19 37 38 35 22 26 N SD: 1.0007 c. M: 1.8095 c. 251: 18 39 21 40 42 39 24 28 N SD: 0.8548 c. M:-1.7612 c. 267: 19 42 22 43 44 41 26 30 N SD: 0.8274 c. M: 1.3187 c. 268: 19 42 22 43 45 41 26 30 N SD: 0.5482 c. M: 1.0302 c. 312: 22 49 26 50 52 48 30 35 N SD: 0.3134 c. M: 0.5479 c. 580: 41 91 48 93 97 89 56 65 N SD: 0.2313 c. M:-0.3661 c. 786: 56 123 65 126 131 121 76 88 N SD: 0.1837 c. M:-0.3329 c. 847: 60 133 70 136 141 130 82 95 N SD: 0.1880 c. M: 0.4007 c. 930: 66 146 77 149 155 143 90 104 N SD: 0.1581 c. M:-0.2913 c. 1098: 78 172 91 176 183 169 106 123 N SD: 0.0721 c. M: 0.1238 c. 1945: 138 305 161 312 324 299 188 218 N SD: 0.0674 c. M: 0.1217 c. 2028: 144 318 168 325 338 312 196 227 N SD: 0.0796 c. M:-0.1157 c. 2257: 160 354 187 362 376 347 218 253 N SD: 0.0580 c. M: 0.0946 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: 31.5981 cents 3 x x x 4 x 5 x 6 S SD: 31.1991 cents 4 x x 5 x 6:7 x 8 S SD: 16.8601 cents 5 x 6 x 7:8 x 9:10 S SD: 16.4383 cents 6 x 7 x 8:9:10:11:12 S SD: 19.0449 cents 7 x 8:9:10:11:12:13:14 S SD: 13.5668 cents 8 x 9:10:11:12:14:15:16 S SD: 14.3309 cents 9 x x 11:12:14:16:17:18 SD: 15.4156 cents 10:11:12 x 14:16:17:19:20 SD: 16.8256 cents 11:12:13:14:15:17:19:20:22 SD: 11.4729 cents 12:13:14:15:17:19:21:22:24 SD: 9.7383 cents 13:14:15:16:18:20:23:24:26 SD: 8.4166 cents 16:17:19:20:22:25:28:30:32 SD: 5.9902 cents 18:19:21:22:25:28:31:33:36 SD: 4.1423 cents 29:30:34:36:40:45:50:54:58 SD: 3.8669 cents 33:35:39:41:46:51:57:61:66 SD: 3.5111 cents 34:36:40:42:47:53:59:63:68 SD: 2.3753 cents 41:43:48:51:57:64:71:76:82 SD: 1.2806 cents 59:62:69:73:82:92:102:109:118 SD: 1.0620 cents 75:79:88:93:104:117:130:139:150 SD: 1.0569 cents 83:87:97:103:115:129:144:154:166 SD: 1.0313 cents 99:104:116:123:137:154:171:183:198 SD: 0.7287 cents 122:128:143:151:169:190:211:226:244 SD: 0.6593 cents 140:147:164:174:194:218:242:259:280 SD: 0.5877 cents 142:149:166:176:197:221:246:263:284 SD: 0.5731 cents 153:161:179:190:212:238:265:283:306 SD: 0.5562 cents 158:166:185:196:219:246:273:292:316 SD: 0.4944 cents 182:191:213:226:252:283:315:337:364 SD: 0.4536 cents 200:210:234:248:277:311:346:370:400 SD: 0.2998 cents 241:253:282:299:334:375:417:446:482 SD: 0.2300 cents 275:289:322:341:381:428:476:509:550 SD: 0.1670 cents 475:499:556:589:658:739:822:879:950 SD: 0.1505 cents 479:503:561:594:664:745:829:886:958 SD: 0.1475 cents 516:542:604:640:715:803:893:955:1032 SD: 0.1196 cents