Scala analysis: CD14_20_Algeria
Les roses éclosent sur les joues - L'ensemble d'Al-'Arabî Ben Sârî (mazmum, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 83.201 cents 83.200791 2: 277.039 cents 277.039029 3: 470.576 cents 470.575712 4: 667.963 cents 667.963387 5: 770.415 cents 770.414654 6: 974.348 cents 974.347826 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 225.6522 cents 225.6522 1: 83.2008 cents 83.2008 2: 193.8382 cents 193.8382 3: 193.5367 cents 193.5367 4: 197.3877 cents 197.3877 5: 102.4513 cents 102.4513 6: 203.9332 cents 203.9332 7: 225.6522 cents 225.6522
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 83.20079 cents 1: 1 102.45127 cents 1: 1 193.53668 cents 1: 1 193.83824 cents 1: 1 197.38768 cents 1: 1 203.93317 cents 1: 1 225.65217 cents 2: 1 277.03903 cents 2: 1 299.83894 cents 2: 1 306.38444 cents 2: 1 308.85296 cents 2: 1 387.37492 cents 2: 1 390.92436 cents 2: 1 429.58535 cents 3: 1 470.57571 cents 3: 1 493.37562 cents 3: 1 502.69120 cents 3: 1 503.77211 cents 3: 1 512.78614 cents 3: 1 532.03661 cents 3: 1 584.76260 cents 4: 1 615.23740 cents 4: 1 667.96339 cents 4: 1 687.21386 cents 4: 1 696.22789 cents 4: 1 697.30880 cents 4: 1 706.62438 cents 4: 1 729.42429 cents 5: 1 770.41465 cents 5: 1 809.07564 cents 5: 1 812.62508 cents 5: 1 891.14704 cents 5: 1 893.61556 cents 5: 1 900.16106 cents 5: 1 922.96097 cents 6: 1 974.34783 cents 6: 1 996.06683 cents 6: 1 1002.61232 cents 6: 1 1006.16176 cents 6: 1 1006.46332 cents 6: 1 1097.54873 cents 6: 1 1116.79921 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 : 83.2 277.0 470.6 668.0 770.4 974.3 1200.0 83.2 : 193.8 387.4 584.8 687.2 891.1 1116.8 1200.0 277.0 : 193.5 390.9 493.4 697.3 923.0 1006.2 1200.0 470.6 : 197.4 299.8 503.8 729.4 812.6 1006.5 1200.0 668.0 : 102.5 306.4 532.0 615.2 809.1 1002.6 1200.0 770.4 : 203.9 429.6 512.8 706.6 900.2 1097.5 1200.0 974.3 : 225.7 308.9 502.7 696.2 893.6 996.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 83.2008 .. 225.6522 cents 142.45138 cents 83.20079 cents 2: 277.0390 .. 429.5853 cents 152.54632 cents 51.38686 cents 3: 470.5757 .. 584.7626 cents 114.18688 cents 40.99037 cents 4: 615.2374 .. 729.4243 cents 114.18688 cents 30.47481 cents 5: 770.4147 .. 922.9610 cents 152.54632 cents 40.99037 cents 6: 974.3478 .. 1116.7992 cents 142.45138 cents 51.38686 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 83.20079 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 225.65217 cents Average / Smallest step : 2.060420 Largest / Average step : 1.316304 Largest / Smallest step : 2.712140 Median interval of one step : 193.83824 cents, amount: 1 Least squares average step : 162.99300 cents, oct.: 1140.95099 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : ADCEBFG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 30.47481 cents Scale diversity : 1.584477 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.318026 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 : 0.30156 cents Number of recognisable fifths : 4, average 696.8437 cents Number of appreciable fifths : 3, average 700.0537 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 129.7464 cents: 5 -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 106.1777 c. M: 153.6777 c. 8: 0 2 1 1 1 1 2 P D3 S SD: 51.3202 c. M: 83.2008 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 36.0922 c. M:-62.7576 c. Pseudo Pelog, Pelogic-7, Antiionian 10: 1 1 2 2 0 2 2 P D3 S SD: 34.3723 c. M:-52.0366 c. 11: 1 2 1 2 1 2 2 P M ME S SD: 25.7626 c. M:-50.2337 c. 12: 1 2 2 2 1 2 2 P M ME S SD: 24.5964 c. M:-32.0366 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 14: 1 2 2 3 1 2 3 P T3 SD: 22.2785 c. M: 42.0043 c. 16: 1 3 2 3 1 3 3 P T3 S SD: 14.5628 c. M:-22.9610 c. 22: 2 3 4 3 2 4 4 SP S SD: 14.0617 c. M:-25.8901 c. 23: 2 3 4 4 2 4 4 SP SD: 13.3734 c. M:-21.1470 c. 25: 2 4 4 4 2 4 5 SP SD: 9.2641 c. M: 14.3478 c. 30: 2 5 5 5 2 5 6 P SD: 9.0003 c. M: 14.3478 c. 31: 2 5 5 5 3 5 6 SP SD: 6.1285 c. M: 9.8989 c. 43: 3 7 7 7 4 7 8 SP SD: 4.6095 c. M:-10.9807 c. 48: 3 8 8 8 4 8 9 P SD: 4.8100 c. M: 8.2008 c. 56: 4 9 9 9 5 9 11 SP SD: 4.2290 c. M: 10.0621 c. 58: 4 9 10 9 5 10 11 SP SD: 4.7176 c. M: 8.0735 c. 59: 4 10 9 10 5 10 11 SP SD: 3.5995 c. M:-7.7067 c. 68: 5 11 11 11 6 11 13 SP SD: 4.5675 c. M:-6.0559 c. 69: 5 11 11 11 6 12 13 SP SD: 3.6673 c. M: 7.0938 c. 70: 5 11 11 12 6 12 13 SP SD: 3.4369 c. M: 7.7186 c. 74: 5 12 12 12 6 13 14 SP SD: 3.5059 c. M: 8.2525 c. 81: 6 13 13 13 7 14 15 SP SD: 3.3333 c. M:-5.6881 c. 84: 6 13 14 14 7 14 16 SP SD: 2.9296 c. M: 5.6105 c. 86: 6 14 14 14 7 15 16 SP SD: 2.2990 c. M:-3.8429 c. 100: 7 16 16 17 8 17 19 SP SD: 2.2675 c. M:-4.0366 c. 112: 8 18 18 18 10 19 21 SP SD: 1.8659 c. M: 3.6777 c. 117: 8 19 19 19 10 20 22 SP SD: 0.9184 c. M: 1.2967 c. 212: 15 34 34 35 18 36 40 SP SD: 0.8054 c. M:-1.7049 c. 260: 18 42 42 43 22 44 49 SP SD: 0.5411 c. M:-1.2674 c. 291: 20 47 47 48 25 49 55 SP SD: 0.6724 c. M: 1.1519 c. 304: 21 49 49 50 26 52 57 SP SD: 0.6482 c. M: 0.8581 c. 316: 22 51 51 52 27 54 59 SP SD: 0.6746 c. M:-1.6015 c. 329: 23 53 53 54 28 56 62 SP SD: 0.4835 c. M: 0.8098 c. 372: 26 60 60 61 32 63 70 SP SD: 0.4011 c. M:-0.6702 c. 377: 26 61 61 62 32 64 71 SP SD: 0.3435 c. M:-0.5118 c. 489: 34 79 79 80 42 83 92 SP SD: 0.3236 c. M:-0.5899 c. 559: 39 90 90 92 48 95 105 SP SD: 0.3224 c. M:-0.5201 c. 564: 39 91 91 93 48 96 106 SP SD: 0.2529 c. M: 0.4433 c. 676: 47 109 109 111 58 115 127 SP SD: 0.2373 c. M: 0.5078 c. 681: 47 110 110 112 58 116 128 SP SD: 0.2580 c. M: 0.3870 c. 706: 49 114 114 116 60 120 133 SP SD: 0.2487 c. M: 0.4430 c. 724: 50 117 117 119 62 123 136 SP SD: 0.2190 c. M: 0.3279 c. 819: 57 132 132 135 70 139 154 SP SD: 0.2005 c. M:-0.3157 c. 893: 62 144 144 147 76 152 168 SP SD: 0.2160 c. M: 0.4259 c. 905: 63 146 146 149 77 154 170 SP SD: 0.2079 c. M:-0.3351 c. 936: 65 151 151 154 80 159 176 SP SD: 0.0801 c. M:-0.1325 c. 1053: 73 170 170 173 90 179 198 SP SD: 0.0816 c. M: 0.1571 c. 1313: 91 212 212 216 112 223 247 SP SD: 0.0844 c. M:-0.1250 c. 1958: 136 316 316 322 167 333 368 SP SD: 0.0876 c. M:-0.1496 c. 1989: 138 321 321 327 170 338 374 SP SD: 0.0605 c. M: 0.1160 c. 2048: 142 331 330 337 175 348 385 SP SD: 0.0651 c. M:-0.1094 c. 2165: 150 350 349 356 185 368 407 SP SD: 0.0559 c. M:-0.0972 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: 16.9958 cents 3 x x 4 x x 5:6 S SD: 31.3628 cents 4 x x 5:6 x 7:8 S SD: 22.7569 cents 5 x 6 x 7:8:9:10 S SD: 22.3919 cents 6 x 7:8:9 x 11:12 SD: 17.4822 cents 7 x 8:9:10:11:12:14 S SD: 14.6779 cents 8 x 9:11:12 x 14:16 SD: 22.8500 cents 9 x 11:12:13:14:16:18 SD: 14.1341 cents 11:12:13:14:16:17:19:22 SD: 13.5208 cents 12:13:14:16:18:19:21:24 SD: 10.8252 cents 13:14:15:17:19:20:23:26 SD: 8.8486 cents 16:17:19:21:24:25:28:32 SD: 6.5205 cents 17:18:20:22:25:27:30:34 SD: 6.1669 cents 19:20:22:25:28:30:33:38 SD: 5.2727 cents 22:23:26:29:32:34:39:44 SD: 4.9119 cents 23:24:27:30:34:36:40:46 SD: 3.4170 cents 34:36:40:45:50:53:60:68 SD: 3.4006 cents 36:38:42:47:53:56:63:72 SD: 2.6939 cents 41:43:48:54:60:64:72:82 SD: 1.6520 cents 57:60:67:75:84:89:100:114 SD: 1.2241 cents 64:67:75:84:94:100:112:128 SD: 1.1308 cents 87:91:102:114:128:136:153:174 SD: 1.0774 cents 98:103:115:129:144:153:172:196 SD: 0.9034 cents 102:107:120:134:150:159:179:204 SD: 0.7301 cents 121:127:142:159:178:189:212:242 SD: 0.6432 cents 138:145:162:181:203:215:242:276 SD: 0.6237 cents 144:151:169:189:212:225:253:288 SD: 0.4616 cents 185:194:217:243:272:289:325:370 SD: 0.4320 cents 202:212:237:265:297:315:355:404 SD: 0.3469 cents 225:236:264:295:331:351:395:450 SD: 0.2666 cents 266:279:312:349:391:415:467:532 SD: 0.2318 cents 282:296:331:370:415:440:495:564 SD: 0.1874 cents 323:339:379:424:475:504:567:646 SD: 0.1158 cents 548:575:643:719:806:855:962:1096 SD: 0.0842 cents