Scala analysis: CD14_06_Algeria
Suite - 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: 89.238 cents 89.238475 2: 211.441 cents 211.440943 3: 297.508 cents 297.507621 4: 501.830 cents 501.829606 5: 683.855 cents 683.854703 6: 784.385 cents 784.384774 7: 994.032 cents 994.032485 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 205.9675 cents 205.9675 1: 89.2385 cents 89.2385 2: 122.2025 cents 122.2025 3: 86.0667 cents 86.0667 4: 204.3220 cents 204.3220 5: 182.0251 cents 182.0251 6: 100.5301 cents 100.5301 7: 209.6477 cents 209.6477 8: 205.9675 cents 205.9675
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 86.06668 cents 1: 1 89.23847 cents 1: 1 100.53007 cents 1: 1 122.20247 cents 1: 1 182.02510 cents 1: 1 204.32199 cents 1: 1 205.96751 cents 1: 1 209.64771 cents 2: 1 208.26915 cents 2: 1 211.44094 cents 2: 1 282.55517 cents 2: 1 290.38866 cents 2: 1 295.20599 cents 2: 1 310.17778 cents 2: 1 386.34708 cents 2: 1 415.61523 cents 3: 1 297.50762 cents 3: 1 412.59113 cents 3: 1 417.40846 cents 3: 1 472.41376 cents 3: 1 486.87715 cents 3: 1 492.20288 cents 3: 1 504.85370 cents 3: 1 516.14530 cents 4: 1 501.82961 cents 4: 1 503.47514 cents 4: 1 572.94383 cents 4: 1 594.61623 cents 4: 1 605.38377 cents 4: 1 627.05617 cents 4: 1 696.52486 cents 4: 1 698.17039 cents 5: 1 683.85470 cents 5: 1 695.14630 cents 5: 1 707.79712 cents 5: 1 713.12285 cents 5: 1 727.58624 cents 5: 1 782.59154 cents 5: 1 787.40887 cents 5: 1 902.49238 cents 6: 1 784.38477 cents 6: 1 813.65292 cents 6: 1 889.82222 cents 6: 1 904.79401 cents 6: 1 909.61134 cents 6: 1 917.44483 cents 6: 1 988.55906 cents 6: 1 991.73085 cents 7: 1 990.35229 cents 7: 1 994.03249 cents 7: 1 995.67801 cents 7: 1 1017.97490 cents 7: 1 1077.79753 cents 7: 1 1099.46993 cents 7: 1 1110.76153 cents 7: 1 1113.93332 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 : 89.2 211.4 297.5 501.8 683.9 784.4 994.0 1200.0 89.2 : 122.2 208.3 412.6 594.6 695.1 904.8 1110.8 1200.0 211.4 : 86.1 290.4 472.4 572.9 782.6 988.6 1077.8 1200.0 297.5 : 204.3 386.3 486.9 696.5 902.5 991.7 1113.9 1200.0 501.8 : 182.0 282.6 492.2 698.2 787.4 909.6 995.7 1200.0 683.9 : 100.5 310.2 516.1 605.4 727.6 813.7 1018.0 1200.0 784.4 : 209.6 415.6 504.9 627.1 713.1 917.4 1099.5 1200.0 994.0 : 206.0 295.2 417.4 503.5 707.8 889.8 990.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 86.0667 .. 209.6477 cents 123.58103 cents 86.06668 cents 2: 208.2691 .. 415.6152 cents 207.34608 cents -1.37857 cents 3: 297.5076 .. 516.1453 cents 218.63768 cents -118.10761 cents 4: 501.8296 .. 698.1704 cents 196.34079 cents -14.31569 cents 5: 683.8547 .. 902.4924 cents 218.63768 cents -14.31569 cents 6: 784.3848 .. 991.7309 cents 207.34608 cents -118.10761 cents 7: 990.3523 .. 1113.9333 cents 123.58103 cents -1.37857 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 86.06668 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 209.64771 cents Average / Smallest step : 1.742835 Largest / Average step : 1.397651 Largest / Smallest step : 2.435875 Median interval of one step : 152.11378 cents, amount: 0 Least squares average step : 137.72437 cents, oct.: 1101.79495 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : BDAFECHG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.37856 cents Scale diversity : 1.510140 Lumma stability : 0.143444 Lumma impropriety factor : 0.223003 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 : 1.37856 cents Number of recognisable fifths : 5, average 702.1523 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 0 1 1 1 1 1 1 2 N T3 SD: 62.7366 c. M: 94.0325 c. 9: 1 1 0 2 1 1 1 2 N D3 SD: 37.3523 c. M: 60.6992 c. 11: 1 1 1 2 1 1 2 2 N D3 SD: 24.1541 c. M:-43.6249 c. 12: 1 1 1 2 2 1 2 2 N D3 SD: 9.9774 c. M:-16.1453 c. Raga Gandhari, Komal Desi, Phrygian/Aeolian mixed 28: 2 3 2 5 4 2 5 5 N SD: 7.2663 c. M: 12.9562 c. 40: 3 4 3 7 6 3 7 7 N SD: 4.3139 c. M:-8.1704 c. 52: 4 5 4 9 8 4 9 9 N SD: 4.1614 c. M:-8.4530 c. 53: 4 5 4 9 8 5 9 9 N SD: 4.6844 c. M:-8.0681 c. 58: 4 6 4 10 9 5 10 10 N SD: 4.4376 c. M: 7.8524 c. 63: 5 6 5 10 10 5 11 11 N SD: 4.5226 c. M:-7.2543 c. 64: 5 6 5 11 9 6 11 11 N SD: 4.4895 c. M: 8.8547 c. 69: 5 7 5 12 10 6 12 12 N SD: 2.8376 c. M: 5.5938 c. 81: 6 8 6 14 12 7 14 14 N SD: 1.9273 c. M: 4.0335 c. 98: 7 10 7 17 15 8 17 17 N SD: 2.3762 c. M: 3.6301 c. 110: 8 11 8 19 17 9 19 19 N SD: 2.3597 c. M: 4.1682 c. 112: 8 12 8 19 17 9 20 19 N SD: 2.3448 c. M: 3.5242 c. 118: 9 12 8 20 18 10 21 20 N SD: 2.3326 c. M: 3.5245 c. 119: 9 12 9 20 18 10 21 20 N SD: 2.7320 c. M:-5.0134 c. 121: 9 12 9 21 18 10 21 21 N SD: 2.0014 c. M:-3.9555 c. 124: 9 13 9 21 19 10 22 21 N SD: 2.0365 c. M:-3.2421 c. 132: 10 13 10 22 20 11 23 23 N SD: 2.1898 c. M: 3.1234 c. 133: 10 13 10 23 20 11 23 23 N SD: 2.0737 c. M: 3.9221 c. 141: 10 15 10 24 21 12 25 24 N SD: 2.0305 c. M: 4.1321 c. 144: 11 14 11 24 22 12 25 25 N SD: 2.0027 c. M: 3.1076 c. 145: 11 15 10 25 22 12 25 25 N SD: 2.2291 c. M:-3.7315 c. 146: 11 15 10 25 22 12 26 25 N SD: 1.7676 c. M: 3.5629 c. 153: 11 16 11 26 23 13 27 26 N SD: 1.3980 c. M: 2.9640 c. 158: 12 16 11 27 24 13 28 27 N SD: 1.2483 c. M: 2.1063 c. 165: 12 17 12 28 25 14 29 28 N SD: 1.1847 c. M:-2.3312 c. 170: 13 17 12 29 26 14 30 29 N SD: 1.1746 c. M:-2.5262 c. 193: 14 20 14 33 29 16 34 33 N SD: 1.1441 c. M: 2.1918 c. 203: 15 21 14 35 31 17 35 35 N SD: 1.3230 c. M: 1.9411 c. 205: 15 21 15 35 31 17 36 35 N SD: 1.0225 c. M:-1.5850 c. 239: 18 24 17 41 36 20 42 41 N SD: 0.8359 c. M: 1.2733 c. 251: 19 25 18 43 38 21 44 43 N SD: 0.8092 c. M:-1.5982 c. 295: 22 30 21 50 45 25 51 51 N SD: 0.8315 c. M: 1.4906 c. 311: 23 32 22 53 47 26 55 53 N SD: 0.8087 c. M:-1.4659 c. 323: 24 33 23 55 49 27 57 55 N SD: 0.6371 c. M:-1.6331 c. 334: 25 34 24 57 50 28 59 57 N SD: 0.9127 c. M: 1.2200 c. 335: 25 34 24 57 51 28 59 57 N SD: 0.6682 c. M:-1.7884 c. 363: 27 37 26 62 55 30 64 62 N SD: 0.5577 c. M:-1.0088 c. 375: 28 38 27 64 57 31 66 64 N SD: 0.6049 c. M:-1.1675 c. 390: 29 40 28 66 59 33 68 67 N SD: 0.5521 c. M:-0.9539 c. 402: 30 41 29 68 61 34 70 69 N SD: 0.5014 c. M:-0.9998 c. 407: 30 42 29 69 62 34 71 70 N SD: 0.4988 c. M:-0.8441 c. 419: 31 43 30 71 64 35 73 72 N SD: 0.4396 c. M: 0.6363 c. 442: 33 45 32 75 67 37 77 76 N SD: 0.4986 c. M:-1.1349 c. 444: 33 45 32 76 67 37 78 76 N SD: 0.4858 c. M:-0.8731 c. 471: 35 48 34 80 71 40 82 81 N SD: 0.4645 c. M: 1.0522 c. 483: 36 49 35 82 73 41 84 83 N SD: 0.4268 c. M:-0.7084 c. 488: 36 50 35 83 74 41 85 84 N SD: 0.3463 c. M: 0.7139 c. 500: 37 51 36 85 76 42 87 86 N SD: 0.2941 c. M: 0.4385 c. 646: 48 66 46 110 98 54 113 111 N SD: 0.2806 c. M: 0.4838 c. 658: 49 67 47 112 100 55 115 113 N SD: 0.1704 c. M: 0.3098 c. 863: 64 88 62 147 131 72 151 148 N SD: 0.1640 c. M:-0.2704 c. 1141: 85 116 82 194 173 96 199 196 N SD: 0.1555 c. M: 0.2438 c. 1146: 85 117 82 195 174 96 200 197 N SD: 0.1796 c. M: 0.3152 c. 1158: 86 118 83 197 176 97 202 199 N SD: 0.1483 c. M: 0.2752 c. 1334: 99 136 96 227 202 112 233 229 N SD: 0.1366 c. M:-0.2435 c. 1346: 100 137 97 229 204 113 235 231 N SD: 0.1316 c. M:-0.2636 c. 1423: 106 145 102 242 216 119 249 244 N SD: 0.1454 c. M:-0.2246 c. 1464: 109 149 105 249 222 123 256 251 N SD: 0.1440 c. M: 0.2481 c. 1481: 110 151 106 252 225 124 259 254 N SD: 0.1314 c. M: 0.2766 c. 1492: 111 152 107 254 226 125 261 256 N SD: 0.1156 c. M: 0.2086 c. 1504: 112 153 108 256 228 126 263 258 N SD: 0.0802 c. M:-0.1232 c. 1923: 143 196 138 327 292 161 336 330 N SD: 0.0825 c. M:-0.1523 c. 1992: 148 203 143 339 302 167 348 342 N SD: 0.0651 c. M: 0.1198 c. 2004: 149 204 144 341 304 168 350 344 N SD: 0.0474 c. M:-0.0972 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: 9.0501 cents 3 x x x 4 x 5 x 6 S SD: 33.3485 cents 4 x x 5 x 6 x 7:8 S SD: 23.5180 cents 5 x x 6:7 x 8:9:10 S SD: 18.1685 cents 6 x x 7:8:9 x 11:12 SD: 13.1788 cents 7 x 8 x 9:10:11:12:14 S SD: 18.9749 cents 8 x 9:10:11:12:13:14:16 S SD: 17.2066 cents 9 x 10:11:12:13:14:16:18 S SD: 11.0307 cents 10 x 11:12:13:15:16:18:20 SD: 11.5121 cents 11 x 12:13:15:16:17:20:22 SD: 13.4468 cents 12:13 x 14:16:18:19:21:24 SD: 9.5561 cents 13:14:15 x 17:19:20:23:26 SD: 11.5118 cents 14:15:16:17:19:21:22:25:28 SD: 7.8475 cents 15:16:17:18:20:22:24:27:30 S SD: 6.5232 cents 16:17:18:19:21:24:25:28:32 SD: 6.0840 cents 17:18:19:20:23:25:27:30:34 SD: 5.3377 cents 21:22:24:25:28:31:33:37:42 SD: 3.4808 cents 33:35:37:39:44:49:52:59:66 SD: 2.9862 cents 37:39:42:44:49:55:58:66:74 SD: 2.5638 cents 39:41:44:46:52:58:61:69:78 SD: 2.2189 cents 53:56:60:63:71:79:83:94:106 SD: 1.7102 cents 54:57:61:64:72:80:85:96:108 SD: 0.9826 cents 101:106:114:120:135:150:159:179:202 SD: 0.8734 cents 107:113:121:127:143:159:168:190:214 SD: 0.8363 cents 116:122:131:138:155:172:182:206:232 SD: 0.7845 cents 133:140:150:158:178:197:209:236:266 SD: 0.7623 cents 134:141:151:159:179:199:211:238:268 SD: 0.6676 cents 154:162:174:183:206:229:242:273:308 SD: 0.6647 cents 155:163:175:184:207:230:244:275:310 SD: 0.4211 cents 192:202:217:228:257:285:302:341:384 SD: 0.4146 cents 208:219:235:247:278:309:327:369:416 SD: 0.3026 cents 223:235:252:265:298:331:351:396:446 SD: 0.2713 cents 246:259:278:292:329:365:387:437:492 SD: 0.2489 cents 262:276:296:311:350:389:412:465:524 SD: 0.2114 cents 378:398:427:449:505:561:595:671:756 SD: 0.1746 cents 431:454:487:512:576:640:678:765:862 SD: 0.1733 cents 438:461:495:520:585:650:689:778:876 SD: 0.1729 cents 454:478:513:539:607:674:714:806:908 SD: 0.1545 cents 508:535:574:603:679:754:799:902:1016 SD: 0.1283 cents 586:617:662:696:783:870:922:1041:1172 SD: 0.1214 cents