Scala analysis: CD14_18_Algeria
Lève-toi et vois les fleurs - L'ensemble d'Al-'Arabî Ben Sârî (mujannaba, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 105.233 cents 105.232704 2: 300.566 cents 300.566038 3: 491.026 cents 491.025597 4: 701.328 cents 701.328162 5: 797.251 cents 797.250674 6: 1002.872 cents 1002.872198 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 197.1278 cents 197.1278 1: 105.2327 cents 105.2327 2: 195.3333 cents 195.3333 3: 190.4596 cents 190.4596 4: 210.3026 cents 210.3026 5: 95.9225 cents 95.9225 6: 205.6215 cents 205.6215 7: 197.1278 cents 197.1278
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 95.92251 cents 1: 1 105.23270 cents 1: 1 190.45956 cents 1: 1 195.33333 cents 1: 1 197.12780 cents 1: 1 205.62152 cents 1: 1 210.30257 cents 2: 1 300.56604 cents 2: 1 301.54404 cents 2: 1 302.36051 cents 2: 1 306.22508 cents 2: 1 385.79289 cents 2: 1 400.76212 cents 2: 1 402.74933 cents 3: 1 491.02560 cents 3: 1 496.68464 cents 3: 1 497.69384 cents 3: 1 498.67184 cents 3: 1 507.98203 cents 3: 1 511.84660 cents 3: 1 596.09546 cents 4: 1 603.90454 cents 4: 1 688.15340 cents 4: 1 692.01797 cents 4: 1 701.32816 cents 4: 1 702.30616 cents 4: 1 703.31536 cents 4: 1 708.97440 cents 5: 1 797.25067 cents 5: 1 799.23788 cents 5: 1 814.20711 cents 5: 1 893.77492 cents 5: 1 897.63949 cents 5: 1 898.45596 cents 5: 1 899.43396 cents 6: 1 989.69743 cents 6: 1 994.37848 cents 6: 1 1002.87220 cents 6: 1 1004.66667 cents 6: 1 1009.54044 cents 6: 1 1094.76730 cents 6: 1 1104.07749 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 105.2 300.6 491.0 701.3 797.3 1002.9 1200.0 105.2 : 195.3 385.8 596.1 692.0 897.6 1094.8 1200.0 300.6 : 190.5 400.8 496.7 702.3 899.4 1004.7 1200.0 491.0 : 210.3 306.2 511.8 709.0 814.2 1009.5 1200.0 701.3 : 95.9 301.5 498.7 603.9 799.2 989.7 1200.0 797.3 : 205.6 402.7 508.0 703.3 893.8 1104.1 1200.0 1002.9: 197.1 302.4 497.7 688.2 898.5 994.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 95.9225 .. 210.3026 cents 114.38005 cents 95.92251 cents 2: 300.5660 .. 402.7493 cents 102.18329 cents 90.26347 cents 3: 491.0256 .. 596.0955 cents 105.06986 cents 88.27627 cents 4: 603.9045 .. 708.9744 cents 105.06986 cents 7.80908 cents 5: 797.2507 .. 899.4340 cents 102.18329 cents 88.27627 cents 6: 989.6974 .. 1104.0775 cents 114.38005 cents 90.26347 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 95.92251 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 210.30257 cents Average / Smallest step : 1.787157 Largest / Average step : 1.226765 Largest / Smallest step : 2.192421 Median interval of one step : 195.33333 cents, amount: 1 Least squares average step : 167.05886 cents, oct.: 1169.41204 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : BDCGAFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 7.80908 cents Scale diversity : 1.408506 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.463945 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 0.81647 cents Number of recognisable fifths : 6, average 699.3492 cents Number of appreciable fifths : 5, average 701.5884 cents Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 105.0699 cents: 5 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 40.0050 c. M:-66.1959 c. Lebeng 8: 1 1 1 2 0 2 1 P D3 S SD: 38.7485 c. M:-48.6718 c. 9: 1 1 2 1 1 2 1 P M ME S SD: 35.8717 c. M:-63.7945 c. 10: 1 2 1 2 1 1 2 P M ME S SD: 33.5649 c. M:-59.4340 c. 12: 1 2 2 2 1 2 2 P M ME S SD: 4.2395 c. M:-8.9744 c. G.Dorian, M.Phrygian, G.M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Bilashkhani Todi, Ghanta, Makam Kurd, Gregorian nr.3, In, Zokuso: Japan, Ousak: Greece, Major inverse 44: 4 7 7 8 3 8 7 P SD: 4.6960 c. M:-7.7627 c. 56: 5 9 9 10 4 10 9 P SD: 3.3525 c. M:-5.8147 c. 68: 6 11 11 12 5 12 11 P SD: 2.6705 c. M:-4.5542 c. 80: 7 13 13 14 6 14 13 P SD: 2.3678 c. M:-3.9744 c. 92: 8 15 15 16 7 16 15 P SD: 2.2791 c. M:-4.6266 c. 115: 10 19 18 20 9 20 19 SP SD: 2.0396 c. M: 4.2072 c. 117: 10 19 19 20 10 20 19 SP SD: 2.5735 c. M: 3.8923 c. 120: 11 19 19 21 10 20 20 SP SD: 2.4399 c. M:-4.7673 c. 122: 11 20 19 21 10 21 20 SP SD: 2.3171 c. M:-4.3520 c. 123: 11 20 19 22 10 21 20 SP SD: 2.1058 c. M: 3.2207 c. 125: 11 20 20 22 10 21 21 SP SD: 2.1195 c. M: 4.4722 c. 127: 11 21 20 22 10 22 21 SP SD: 1.8425 c. M: 3.5499 c. 128: 11 21 20 23 10 22 21 P SD: 1.7166 c. M: 3.5256 c. 135: 12 22 21 24 11 23 22 SP SD: 1.6985 c. M:-2.7493 c. 140: 12 23 22 25 11 24 23 P SD: 1.4311 c. M: 2.4542 c. 147: 13 24 23 26 12 25 24 SP SD: 1.4146 c. M:-2.7493 c. 152: 13 25 24 27 12 26 25 P SD: 1.2686 c. M: 2.6011 c. 159: 14 26 25 28 13 27 26 SP SD: 1.2434 c. M:-2.7493 c. 163: 14 27 26 28 13 28 27 SP SD: 1.7890 c. M:-2.2259 c. 164: 14 27 26 29 13 28 27 P SD: 1.2103 c. M: 2.7937 c. 171: 15 28 27 30 14 29 28 SP SD: 1.1711 c. M:-2.7493 c. 181: 16 29 29 32 14 31 30 SP SD: 1.4042 c. M: 2.2235 c. 183: 16 30 29 32 15 31 30 SP SD: 1.1757 c. M:-2.7493 c. 193: 17 31 31 34 15 33 32 SP SD: 1.2903 c. M: 2.1204 c. 195: 17 32 31 34 16 33 32 SP SD: 1.2315 c. M:-2.7493 c. 203: 18 33 32 36 16 35 33 SP SD: 1.2913 c. M:-2.1201 c. 205: 18 33 33 36 16 35 34 SP SD: 1.2399 c. M: 2.0295 c. 212: 19 34 34 37 17 36 35 SP SD: 1.1797 c. M:-2.3145 c. 215: 19 35 34 38 17 37 35 SP SD: 1.1364 c. M:-1.9277 c. 224: 20 36 36 39 18 38 37 SP SD: 1.1736 c. M:-1.9102 c. 227: 20 37 36 40 18 39 37 SP SD: 1.0411 c. M:-1.7555 c. 239: 21 39 38 42 19 41 39 SP SD: 1.0006 c. M:-1.6007 c. 250: 22 41 39 44 20 43 41 SP SD: 0.9350 c. M:-1.8340 c. 251: 22 41 40 44 20 43 41 SP SD: 1.0055 c. M:-1.4607 c. 262: 23 43 41 46 21 45 43 SP SD: 0.7865 c. M:-1.7240 c. 272: 24 44 43 48 22 46 45 SP SD: 0.9338 c. M: 1.4016 c. 274: 24 45 43 48 22 47 45 SP SD: 0.6872 c. M:-1.6237 c. 286: 25 47 45 50 23 49 47 SP SD: 0.6412 c. M:-1.5319 c. 300: 26 49 48 52 24 52 49 SP SD: 1.0274 c. M: 1.3282 c. 303: 27 49 48 53 24 52 50 SP SD: 0.8819 c. M:-1.6980 c. 308: 27 50 49 54 25 52 51 SP SD: 0.8381 c. M: 1.5735 c. 310: 27 51 49 54 25 53 51 SP SD: 0.6880 c. M:-1.3694 c. 316: 28 51 50 56 25 54 52 SP SD: 0.7984 c. M:-1.2035 c. 318: 28 52 50 56 25 55 52 SP SD: 0.7849 c. M:-1.3208 c. 322: 28 53 51 56 26 55 53 SP SD: 0.7556 c. M:-1.2973 c. 327: 29 53 52 57 26 56 54 SP SD: 0.7695 c. M:-1.1893 c. 328: 29 53 52 58 26 56 54 SP SD: 0.6758 c. M:-1.1109 c. 339: 30 55 54 59 27 58 56 SP SD: 0.7637 c. M: 1.1023 c. 340: 30 55 54 60 27 58 56 SP SD: 0.5868 c. M:-1.0248 c. 352: 31 57 56 62 28 60 58 SP SD: 0.5364 c. M:-0.9446 c. 354: 31 58 56 62 28 61 58 SP SD: 0.5805 c. M:-1.1289 c. 364: 32 59 58 64 29 62 60 SP SD: 0.5261 c. M:-0.8696 c. 376: 33 61 60 66 30 64 62 SP SD: 0.5507 c. M:-0.7995 c. 443: 39 72 70 78 35 76 73 SP SD: 0.5213 c. M: 0.8624 c. 455: 40 74 72 80 36 78 75 SP SD: 0.4459 c. M: 0.7672 c. 467: 41 76 74 82 37 80 77 SP SD: 0.3957 c. M: 0.7309 c. 476: 42 77 76 83 38 82 78 SP SD: 0.5238 c. M:-0.6496 c. 479: 42 78 76 84 38 82 79 SP SD: 0.3754 c. M: 0.7845 c. 536: 47 87 85 94 43 92 88 SP SD: 0.4236 c. M: 0.7271 c. 548: 48 89 87 96 44 94 90 SP SD: 0.3760 c. M: 0.5982 c. 560: 49 91 89 98 45 96 92 SP SD: 0.3505 c. M: 0.6139 c. 572: 50 93 91 100 46 98 94 SP SD: 0.3487 c. M: 0.6289 c. 604: 53 98 96 106 48 104 99 SP SD: 0.3628 c. M: 0.5660 c. 614: 54 100 97 108 49 105 101 SP SD: 0.3085 c. M: 0.4719 c. 626: 55 102 99 110 50 107 103 SP SD: 0.2640 c. M:-0.3924 c. 638: 56 104 101 112 51 109 105 SP SD: 0.2424 c. M:-0.3744 c. 775: 68 126 123 136 62 133 127 SP SD: 0.2204 c. M:-0.4826 c. 787: 69 128 125 138 63 135 129 SP SD: 0.1968 c. M:-0.4315 c. 799: 70 130 127 140 64 137 131 SP SD: 0.1939 c. M:-0.3819 c. 811: 71 132 129 142 65 139 133 SP SD: 0.2106 c. M:-0.3337 c. 902: 79 147 143 158 72 155 148 SP SD: 0.1960 c. M: 0.3549 c. 914: 80 149 145 160 73 157 150 SP SD: 0.1845 c. M: 0.3141 c. 926: 81 151 147 162 74 159 152 SP SD: 0.1894 c. M: 0.2744 c. 1061: 93 173 168 186 85 182 174 SP SD: 0.1865 c. M:-0.3323 c. 1073: 94 175 170 188 86 184 176 SP SD: 0.1737 c. M:-0.2965 c. 1085: 95 177 172 190 87 186 178 SP SD: 0.1736 c. M:-0.2635 c. 1097: 96 179 174 192 88 188 180 SP SD: 0.1855 c. M:-0.2544 c. 1102: 97 179 175 193 88 189 181 SP SD: 0.1648 c. M:-0.3934 c. 1114: 98 181 177 195 89 191 183 SP SD: 0.1527 c. M:-0.3328 c. 1186: 104 193 188 208 95 203 195 SP SD: 0.1457 c. M: 0.3005 c. 1198: 105 195 190 210 96 205 197 SP SD: 0.1324 c. M: 0.2076 c. 1210: 106 197 192 212 97 207 199 SP SD: 0.1322 c. M: 0.2276 c. 1242: 109 202 197 218 99 213 204 SP SD: 0.1152 c. M: 0.2043 c. 1254: 110 204 199 220 100 215 206 SP SD: 0.0832 c. M: 0.1215 c. 1266: 111 206 201 222 101 217 208 SP SD: 0.0635 c. M: 0.0943 c. 2339: 205 381 371 410 187 401 384 SP SD: 0.0610 c. M:-0.1205 c. 2351: 206 383 373 412 188 403 386 SP SD: 0.0591 c. M:-0.1053 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 0.3134 cents 3 x x 4 x 5 x 6 S SD: 29.1301 cents 4 x 5 x 6 x 7:8 S SD: 23.0654 cents 5 x 6:7 x 8:9:10 S SD: 19.0620 cents 6 x 7:8:9:10:11:12 S SD: 17.4278 cents 7 x 8:9 x 11:13:14 SD: 22.7157 cents 8 x 10:11:12:13:14:16 S SD: 19.7345 cents 9:10:11:12 x 14:16:18 S SD: 16.0644 cents 10:11:12:13:15:16:18:20 SD: 10.7308 cents 11:12:13:15 x 17:20:22 SD: 14.1752 cents 12:13:14:16:18:19:21:24 SD: 8.4014 cents 14:15:17:19:21:22:25:28 SD: 7.9593 cents 15:16:18:20:22:24:27:30 S SD: 6.8078 cents 16:17:19:21:24:25:29:32 SD: 5.9575 cents 22:23:26:29:33:35:39:44 SD: 5.0953 cents 27:29:32:36:40:43:48:54 SD: 4.4828 cents 28:30:33:37:42:44:50:56 SD: 3.9206 cents 31:33:37:41:46:49:55:62 SD: 3.3359 cents 32:34:38:42:48:51:57:64 SD: 3.2718 cents 36:38:43:48:54:57:64:72 SD: 2.4048 cents 46:49:55:61:69:73:82:92 SD: 1.4994 cents 48:51:57:64:72:76:86:96 SD: 1.4756 cents 64:68:76:85:96:101:114:128 SD: 1.2466 cents 79:84:94:105:118:125:141:158 SD: 1.0732 cents 80:85:95:106:120:127:143:160 SD: 0.9005 cents 94:100:112:125:141:149:168:188 SD: 0.6877 cents 116:123:138:154:174:184:207:232 SD: 0.5917 cents 144:153:171:191:216:228:257:288 SD: 0.5845 cents 158:168:188:210:237:250:282:316 SD: 0.4955 cents 174:185:207:231:261:276:311:348 SD: 0.4484 cents 190:202:226:252:285:301:339:380 SD: 0.3601 cents 210:223:250:279:315:333:375:420 SD: 0.3487 cents 222:236:264:295:333:352:396:444 SD: 0.2850 cents 238:253:283:316:357:377:425:476 SD: 0.2514 cents 274:291:326:364:411:434:489:548 SD: 0.2493 cents 354:376:421:470:531:561:632:708 SD: 0.1902 cents 400:425:476:531:600:634:714:800 SD: 0.1574 cents 479:509:570:636:718:759:855:958 SD: 0.1335 cents 576:612:685:765:864:913:1028:1152 SD: 0.1314 cents 591:628:703:785:886:937:1055:1182 SD: 0.1296 cents