Scala analysis: CD14_17_Algeria
Toute terre revit par votre présence - L'ensemble d'Al-'Arabî Ben Sârî (zidan, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 109.677 cents 109.677419 2: 234.007 cents 234.006688 3: 308.483 cents 308.482781 4: 506.484 cents 506.483680 5: 699.373 cents 699.373498 6: 796.856 cents 796.856318 7: 1004.094 cents 1004.093611 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 195.9064 cents 195.9064 1: 109.6774 cents 109.6774 2: 124.3293 cents 124.3293 3: 74.4761 cents 74.4761 4: 198.0009 cents 198.0009 5: 192.8898 cents 192.8898 6: 97.4828 cents 97.4828 7: 207.2373 cents 207.2373 8: 195.9064 cents 195.9064
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 74.47609 cents 1: 1 97.48282 cents 1: 1 109.67742 cents 1: 1 124.32927 cents 1: 1 192.88982 cents 1: 1 195.90639 cents 1: 1 198.00090 cents 1: 1 207.23729 cents 2: 1 198.80536 cents 2: 1 234.00669 cents 2: 1 272.47699 cents 2: 1 290.37264 cents 2: 1 304.72011 cents 2: 1 305.58381 cents 2: 1 390.89072 cents 2: 1 403.14368 cents 3: 1 308.48278 cents 3: 1 396.80626 cents 3: 1 429.91308 cents 3: 1 465.36681 cents 3: 1 488.37354 cents 3: 1 497.60993 cents 3: 1 500.62650 cents 3: 1 512.82110 cents 4: 1 504.38917 cents 4: 1 506.48368 cents 4: 1 562.84963 cents 4: 1 589.69608 cents 4: 1 610.30392 cents 4: 1 637.15037 cents 4: 1 693.51632 cents 4: 1 695.61083 cents 5: 1 687.17890 cents 5: 1 699.37350 cents 5: 1 702.39007 cents 5: 1 711.62646 cents 5: 1 734.63319 cents 5: 1 770.08692 cents 5: 1 803.19374 cents 5: 1 891.51722 cents 6: 1 796.85632 cents 6: 1 809.10928 cents 6: 1 894.41619 cents 6: 1 895.27989 cents 6: 1 909.62736 cents 6: 1 927.52301 cents 6: 1 965.99331 cents 6: 1 1001.19464 cents 7: 1 992.76271 cents 7: 1 1001.99910 cents 7: 1 1004.09361 cents 7: 1 1007.11018 cents 7: 1 1075.67073 cents 7: 1 1090.32258 cents 7: 1 1102.51718 cents 7: 1 1125.52391 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 : 109.7 234.0 308.5 506.5 699.4 796.9 1004.1 1200.0 109.7 : 124.3 198.8 396.8 589.7 687.2 894.4 1090.3 1200.0 234.0 : 74.5 272.5 465.4 562.8 770.1 966.0 1075.7 1200.0 308.5 : 198.0 390.9 488.4 695.6 891.5 1001.2 1125.5 1200.0 506.5 : 192.9 290.4 497.6 693.5 803.2 927.5 1002.0 1200.0 699.4 : 97.5 304.7 500.6 610.3 734.6 809.1 1007.1 1200.0 796.9 : 207.2 403.1 512.8 637.2 711.6 909.6 1102.5 1200.0 1004.1: 195.9 305.6 429.9 504.4 702.4 895.3 992.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 74.4761 .. 207.2373 cents 132.76120 cents 74.47609 cents 2: 198.8054 .. 403.1437 cents 204.33832 cents -8.43193 cents 3: 308.4828 .. 512.8211 cents 204.33832 cents -94.66090 cents 4: 504.3892 .. 695.6108 cents 191.22166 cents -8.43193 cents 5: 687.1789 .. 891.5172 cents 204.33832 cents -8.43193 cents 6: 796.8563 .. 1001.1946 cents 204.33832 cents -94.66090 cents 7: 992.7627 .. 1125.5239 cents 132.76120 cents -8.43193 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 74.47609 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 207.23729 cents Average / Smallest step : 2.014069 Largest / Average step : 1.381582 Largest / Smallest step : 2.782602 Median interval of one step : 158.60954 cents, amount: 0 Least squares average step : 139.39086 cents, oct.: 1115.12684 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : CDAGEBHF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.80446 cents Scale diversity : 1.580503 Lumma stability : 0.124127 Lumma impropriety factor : 0.185875 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 : 0.80446 cents Number of recognisable fifths : 6, average 698.2827 cents Number of appreciable fifths : 5, average 700.5034 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 0 1 1 1 1 1 1 2 N T3 SD: 75.2120 c. M: 109.6774 c. 9: 1 1 0 2 1 1 2 1 N SD: 33.7097 c. M:-62.5731 c. 10: 1 1 1 1 2 1 1 2 P D3 S SD: 31.0825 c. M:-51.5172 c. 11: 1 1 1 2 1 1 2 2 N D3 SD: 26.7672 c. M: 44.8280 c. 12: 1 1 1 2 2 1 2 2 N D3 SD: 13.1868 c. M: 34.0067 c. Raga Gandhari, Komal Desi, Phrygian/Aeolian mixed 19: 2 2 1 3 3 2 3 3 N SD: 12.8790 c. M:-24.1963 c. 22: 2 2 2 3 4 2 3 4 N SD: 15.3777 c. M: 22.2754 c. 24: 2 3 1 4 4 2 4 4 N SD: 7.8300 c. M:-15.9933 c. 31: 3 3 2 5 5 3 5 5 N SD: 6.3889 c. M:-16.0469 c. 35: 3 4 2 6 5 3 6 6 N SD: 7.8639 c. M: 13.6592 c. 36: 3 4 2 6 6 3 6 6 N SD: 5.4214 c. M: 9.6774 c. 50: 5 5 3 8 8 4 9 8 N SD: 5.1386 c. M:-10.3226 c. 55: 5 6 3 9 9 5 9 9 N SD: 4.7081 c. M:-10.4164 c. 56: 5 6 3 10 9 4 10 9 N SD: 5.3365 c. M: 8.4828 c. 57: 5 6 4 9 9 5 10 9 N SD: 4.3735 c. M:-7.3067 c. 62: 6 6 4 10 10 5 11 10 N SD: 3.1619 c. M:-6.4516 c. 75: 7 8 4 13 12 6 13 12 N SD: 4.1591 c. M:-5.9933 c. 77: 7 8 5 12 13 6 13 13 N SD: 3.9358 c. M: 7.7824 c. 78: 7 8 5 13 12 7 13 13 N SD: 3.4109 c. M: 7.0658 c. 81: 7 9 5 13 13 7 14 13 N SD: 3.3511 c. M: 5.9737 c. 86: 8 9 5 14 14 7 15 14 N SD: 2.2105 c. M: 4.1581 c. 98: 9 10 6 16 16 8 17 16 N SD: 1.9462 c. M: 4.4429 c. 112: 10 12 7 18 18 9 20 18 N SD: 2.6638 c. M: 3.9992 c. 113: 10 12 7 19 18 9 20 18 N SD: 2.4538 c. M:-4.7559 c. 117: 11 12 7 19 19 10 20 19 N SD: 2.3492 c. M: 3.9196 c. 118: 11 12 7 20 19 9 21 19 N SD: 2.4013 c. M: 3.6360 c. 122: 11 13 7 20 20 10 21 20 N SD: 2.3536 c. M: 4.8443 c. 123: 11 13 8 20 20 10 21 20 N SD: 2.2350 c. M:-3.7123 c. 124: 11 13 8 20 20 10 22 20 N SD: 2.4689 c. M: 3.3079 c. 128: 12 13 8 21 21 10 22 21 N SD: 1.7308 c. M:-3.7515 c. 135: 12 14 9 22 22 11 23 22 N SD: 2.3052 c. M:-3.1437 c. 137: 13 14 8 23 22 11 24 22 N SD: 2.2908 c. M:-4.1912 c. 139: 13 14 9 23 22 11 24 23 N SD: 2.0853 c. M:-2.8688 c. 140: 13 14 9 23 23 11 24 23 N SD: 1.7342 c. M:-3.4836 c. 152: 14 16 9 25 25 12 26 25 N SD: 1.7179 c. M:-3.2581 c. 154: 14 16 10 25 25 12 27 25 N SD: 1.5734 c. M:-3.2055 c. 163: 15 17 10 27 26 13 28 27 N SD: 1.4630 c. M: 2.8666 c. 164: 15 17 10 27 27 13 28 27 N SD: 1.4402 c. M:-3.0655 c. 166: 15 17 11 27 27 13 29 27 N SD: 1.6282 c. M: 2.6814 c. 175: 16 18 11 29 28 14 30 29 N SD: 1.2448 c. M: 2.9508 c. 178: 16 19 11 29 29 14 31 29 N SD: 1.3934 c. M:-1.9484 c. 184: 17 19 11 31 29 15 32 30 N SD: 1.3542 c. M:-2.2120 c. 185: 17 19 12 30 30 15 32 30 N SD: 1.2825 c. M:-2.8686 c. 190: 17 20 12 31 31 15 33 31 N SD: 1.2185 c. M: 2.3090 c. 194: 18 20 12 32 31 16 33 32 N SD: 1.1450 c. M: 2.0318 c. 206: 19 21 13 34 33 17 35 34 N SD: 1.0219 c. M: 2.1519 c. 209: 19 22 13 34 34 17 36 34 N SD: 1.0871 c. M:-1.5651 c. 220: 20 23 14 36 35 18 38 36 N SD: 1.0616 c. M:-2.4263 c. 221: 20 23 14 36 36 18 38 36 N SD: 0.9923 c. M: 1.5063 c. 256: 23 27 16 42 41 21 44 42 N SD: 0.8859 c. M: 1.8649 c. 261: 24 27 16 43 42 21 45 43 N SD: 0.9364 c. M: 1.7948 c. 273: 25 28 17 45 44 22 47 45 N SD: 1.0071 c. M: 1.8958 c. 276: 25 29 17 45 45 22 48 45 N SD: 1.0050 c. M: 2.1359 c. 277: 25 29 17 46 44 23 48 45 N SD: 0.9648 c. M: 1.9006 c. 283: 26 29 18 46 46 23 49 46 N SD: 0.9045 c. M: 1.8900 c. 292: 27 30 18 48 47 24 50 48 N SD: 0.8160 c. M: 1.3539 c. 306: 28 32 19 50 49 25 53 50 N SD: 0.8800 c. M: 1.3343 c. 307: 28 32 19 51 49 25 53 50 N SD: 0.6869 c. M:-1.6596 c. 318: 29 33 20 52 51 26 55 52 N SD: 0.6829 c. M: 1.2603 c. 319: 29 33 20 53 51 26 55 52 N SD: 0.6491 c. M:-1.3533 c. 342: 31 36 21 56 55 28 59 56 N SD: 0.8147 c. M: 1.2205 c. 343: 31 36 21 57 55 28 59 56 N SD: 0.6561 c. M: 1.2226 c. 369: 34 38 23 61 59 30 64 60 N SD: 0.5458 c. M:-0.8917 c. 374: 34 39 23 62 60 30 65 61 N SD: 0.5188 c. M: 1.1344 c. 381: 35 39 24 63 61 31 66 62 N SD: 0.5009 c. M: 0.9358 c. 393: 36 41 24 65 63 32 68 64 N SD: 0.4621 c. M:-1.1078 c. 405: 37 42 25 67 65 33 70 66 N SD: 0.2003 c. M:-0.3508 c. 789: 72 82 49 130 127 64 136 129 N SD: 0.1938 c. M: 0.2913 c. 887: 81 92 55 146 143 72 153 145 N SD: 0.2067 c. M: 0.5085 c. 938: 86 97 58 155 151 76 162 153 N SD: 0.2233 c. M:-0.4133 c. 964: 88 100 60 159 155 78 167 157 N SD: 0.2216 c. M:-0.4707 c. 973: 89 101 60 161 156 79 168 159 N SD: 0.2127 c. M:-0.4022 c. 985: 90 102 61 163 158 80 170 161 N SD: 0.1778 c. M:-0.3184 c. 1128: 103 117 70 186 181 92 195 184 N SD: 0.1741 c. M: 0.4373 c. 1158: 106 120 72 191 186 94 200 189 N SD: 0.1765 c. M:-0.3255 c. 1170: 107 121 73 193 188 95 202 191 N SD: 0.1306 c. M:-0.2352 c. 1194: 109 124 74 197 192 97 206 195 N SD: 0.1043 c. M:-0.1642 c. 1256: 115 130 78 207 202 102 217 205 N SD: 0.0958 c. M:-0.1952 c. 1599: 146 166 99 264 257 130 276 261 N SD: 0.0903 c. M:-0.1418 c. 1661: 152 172 103 274 267 135 287 271 N SD: 0.0716 c. M:-0.1359 c. 2057: 188 213 128 339 331 167 355 336 N SD: 0.0826 c. M:-0.1220 c. 2066: 189 214 128 341 332 168 357 337 N SD: 0.0796 c. M:-0.1658 c. 2241: 205 232 139 370 360 182 387 366 N SD: 0.0611 c. M:-0.0950 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: 1.2908 cents 3 x x x 4 x 5 x 6 S SD: 29.3028 cents 4 x x 5 x 6 x 7:8 S SD: 21.3719 cents 5 x x 6:7 x 8:9:10 S SD: 15.8709 cents 6 x 7 x 8:9:10:11:12 S SD: 17.3717 cents 7 x 8 x 9:10:11:13:14 SD: 21.4660 cents 8 x 9:10:11:12:13:14:16 S SD: 15.7346 cents 9 x 10:11:12:13:14:16:18 S SD: 13.7557 cents 10:11 x 12:13:15:16:18:20 SD: 11.3539 cents 11:12 x 13:15:16:17:20:22 SD: 13.0695 cents 12:13:14 x 16:18:19:21:24 SD: 8.1295 cents 14:15:16:17:19:21:22:25:28 SD: 4.9589 cents 20:21:23:24:27:30:32:36:40 SD: 4.6655 cents 26:28:30:31:35:39:41:46:52 SD: 3.8737 cents 29:31:33:35:39:43:46:52:58 SD: 3.5947 cents 32:34:37:38:43:48:51:57:64 SD: 3.0560 cents 36:38:41:43:48:54:57:64:72 SD: 2.7419 cents 41:44:47:49:55:61:65:73:82 SD: 2.2762 cents 46:49:53:55:62:69:73:82:92 SD: 2.0043 cents 48:51:55:57:64:72:76:86:96 SD: 1.9957 cents 50:53:57:60:67:75:79:89:100 SD: 1.9579 cents 56:60:64:67:75:84:89:100:112 SD: 1.4878 cents 62:66:71:74:83:93:98:111:124 SD: 0.8964 cents 103:110:118:123:138:154:163:184:206 SD: 0.7375 cents 118:126:135:141:158:177:187:211:236 SD: 0.6654 cents 123:131:141:147:165:184:195:220:246 SD: 0.5907 cents 139:148:159:166:186:208:220:248:278 SD: 0.5383 cents 153:163:175:183:205:229:242:273:306 SD: 0.5291 cents 173:184:198:207:232:259:274:309:346 SD: 0.5157 cents 185:197:212:221:248:277:293:330:370 SD: 0.4147 cents 200:213:229:239:268:300:317:357:400 SD: 0.3654 cents 215:229:246:257:288:322:341:384:430 SD: 0.2509 cents 277:295:317:331:371:415:439:495:554 SD: 0.1947 cents 380:405:435:454:509:569:602:679:760 SD: 0.1678 cents 462:492:529:552:619:692:732:825:924 SD: 0.1252 cents 518:552:593:619:694:776:821:925:1036 SD: 0.0964 cents