Scala analysis: CD14_03_Algeria
Le soleil du crépuscule - 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: 294.897 cents 294.897323 2: 505.354 cents 505.353735 3: 690.712 cents 690.712494 4: 797.506 cents 797.506017 5: 995.165 cents 995.165023 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 204.8350 cents 204.8350 1: 294.8973 cents 294.8973 2: 210.4564 cents 210.4564 3: 185.3588 cents 185.3588 4: 106.7935 cents 106.7935 5: 197.6590 cents 197.6590 6: 204.8350 cents 204.8350
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 106.79352 cents 1: 1 185.35876 cents 1: 1 197.65901 cents 1: 1 204.83498 cents 1: 1 210.45641 cents 1: 1 294.89732 cents 2: 1 292.15228 cents 2: 1 304.45253 cents 2: 1 395.81517 cents 2: 1 402.49398 cents 2: 1 499.73230 cents 2: 1 505.35373 cents 3: 1 489.81129 cents 3: 1 502.60869 cents 3: 1 509.28751 cents 3: 1 690.71249 cents 3: 1 697.39131 cents 3: 1 710.18871 cents 4: 1 694.64627 cents 4: 1 700.26770 cents 4: 1 797.50602 cents 4: 1 804.18483 cents 4: 1 895.54747 cents 4: 1 907.84772 cents 5: 1 905.10268 cents 5: 1 989.54359 cents 5: 1 995.16502 cents 5: 1 1002.34099 cents 5: 1 1014.64124 cents 5: 1 1093.20648 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 294.9 505.4 690.7 797.5 995.2 1200.0 294.9 : 210.5 395.8 502.6 700.3 905.1 1200.0 505.4 : 185.4 292.2 489.8 694.6 989.5 1200.0 690.7 : 106.8 304.5 509.3 804.2 1014.6 1200.0 797.5 : 197.7 402.5 697.4 907.8 1093.2 1200.0 995.2 : 204.8 499.7 710.2 895.5 1002.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 106.7935 .. 294.8973 cents 188.10380 cents 106.79352 cents 2: 292.1523 .. 505.3537 cents 213.20145 cents -2.74504 cents 3: 489.8113 .. 710.1887 cents 220.37742 cents -15.54245 cents 4: 694.6463 .. 907.8477 cents 213.20145 cents -15.54245 cents 5: 905.1027 .. 1093.2065 cents 188.10380 cents -2.74504 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 106.79352 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 294.89732 cents Average / Smallest step : 1.872773 Largest / Average step : 1.474487 Largest / Smallest step : 2.761378 Median interval of one step : 201.24699 cents, amount: 0 Least squares average step : 205.97353 cents, oct.: 1235.84120 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : FEBACD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.74504 cents Scale diversity : 1.413642 Lumma stability : 0.177989 Lumma impropriety factor : 0.030479 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 2.74504 cents Number of recognisable fifths : 5, average 698.6413 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 213.2015 cents: 1 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 68.7547 c. M: 105.3537 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 2 1 1 1 1 1 P M ME SD: 34.3449 c. M:-59.6368 c. 9: 2 2 1 1 1 2 N SD: 31.5896 c. M: 61.8317 c. 11: 3 2 1 1 2 2 N SD: 29.6917 c. M:-40.1008 c. 12: 3 2 2 1 2 2 P G D3 SD: 5.3316 c. M:-9.2875 c. Phrygian Hexatonic, Raga Desya Todi, Gopikavasantam (Gopika Basant), Jayantasri 42: 10 8 6 4 7 7 N SD: 6.0372 c. M: 9.1830 c. 45: 11 8 7 4 7 8 N SD: 3.8618 c. M: 8.4984 c. 54: 13 10 8 5 9 9 N SD: 4.1266 c. M: 6.0084 c. 57: 14 10 9 5 9 10 N SD: 3.0233 c. M: 5.6913 c. 66: 16 12 10 6 11 11 N SD: 3.1493 c. M:-4.8350 c. 69: 17 12 11 6 11 12 N SD: 2.8020 c. M:-4.9397 c. 78: 19 14 12 7 13 13 N SD: 2.7177 c. M:-4.8350 c. 90: 22 16 14 8 15 15 N SD: 2.6024 c. M:-4.8350 c. 95: 23 17 15 8 16 16 N SD: 2.7600 c. M: 4.3710 c. 98: 24 17 15 9 16 17 N SD: 2.9039 c. M: 4.9982 c. 99: 24 18 15 9 16 17 N SD: 2.5044 c. M: 3.9882 c. 110: 27 19 17 10 18 19 N SD: 2.2987 c. M: 3.5356 c. 111: 27 20 17 10 18 19 N SD: 2.0230 c. M: 3.0054 c. 122: 30 21 19 11 20 21 N SD: 1.9235 c. M: 3.7144 c. 123: 30 22 19 11 20 21 N SD: 1.7731 c. M:-2.4940 c. 134: 33 23 21 12 22 23 N SD: 1.7405 c. M: 3.8612 c. 135: 33 24 21 12 22 23 N SD: 1.7035 c. M:-2.6208 c. 158: 39 28 24 14 26 27 N SD: 1.5405 c. M:-3.5070 c. 164: 40 29 25 15 27 28 N SD: 1.5049 c. M: 2.9076 c. 170: 42 30 26 15 28 29 N SD: 1.4096 c. M:-2.8816 c. 174: 43 30 27 16 28 30 N SD: 1.7299 c. M:-2.4940 c. 175: 43 31 27 15 29 30 N SD: 1.4635 c. M: 2.0774 c. 176: 43 31 27 16 29 30 N SD: 1.1575 c. M: 2.0761 c. 182: 45 32 28 16 30 31 N SD: 1.3878 c. M:-2.3386 c. 187: 46 33 29 16 31 32 N SD: 1.3868 c. M:-2.3356 c. 188: 46 33 29 17 31 32 N SD: 0.9256 c. M: 1.3508 c. 200: 49 35 31 18 33 34 N SD: 0.8253 c. M: 1.3537 c. 233: 57 41 36 21 38 40 N SD: 0.8665 c. M: 1.3351 c. 245: 60 43 38 22 40 42 N SD: 0.7429 c. M: 1.0198 c. 257: 63 45 40 23 42 44 N SD: 0.7141 c. M: 1.0736 c. 280: 69 49 43 25 46 48 N SD: 0.6069 c. M: 0.8793 c. 292: 72 51 45 26 48 50 N SD: 0.5113 c. M:-0.9931 c. 304: 75 53 47 27 50 52 N SD: 0.5085 c. M:-1.1553 c. 346: 85 61 53 31 57 59 N SD: 0.4809 c. M:-1.0046 c. 358: 88 63 55 32 59 61 N SD: 0.3823 c. M:-0.7915 c. 370: 91 65 57 33 61 63 N SD: 0.3624 c. M:-0.5922 c. 382: 94 67 59 34 63 65 N SD: 0.4172 c. M:-0.6465 c. 480: 118 84 74 43 79 82 N SD: 0.3343 c. M: 0.7125 c. 492: 121 86 76 44 81 84 N SD: 0.2890 c. M: 0.4757 c. 603: 148 106 93 54 99 103 N SD: 0.2744 c. M:-0.5039 c. 615: 151 108 95 55 101 105 N SD: 0.2471 c. M:-0.5428 c. 679: 167 119 105 60 112 116 N SD: 0.2562 c. M: 0.4515 c. 745: 183 131 115 66 123 127 N SD: 0.2545 c. M:-0.4181 c. 838: 206 147 129 75 138 143 N SD: 0.2197 c. M: 0.4977 c. 843: 207 148 130 75 139 144 N SD: 0.2255 c. M: 0.3530 c. 850: 209 149 131 76 140 145 N SD: 0.1804 c. M: 0.3596 c. 855: 210 150 132 76 141 146 N SD: 0.1696 c. M: 0.3130 c. 862: 212 151 133 77 142 147 N SD: 0.1694 c. M:-0.2303 c. 867: 213 152 134 77 143 148 N SD: 0.1370 c. M: 0.2742 c. 1213: 298 213 187 108 200 207 N SD: 0.1278 c. M: 0.1931 c. 1225: 301 215 189 109 202 209 N SD: 0.0904 c. M: 0.1183 c. 1237: 304 217 191 110 204 211 N SD: 0.0754 c. M:-0.1462 c. 1482: 364 260 229 132 244 253 N SD: 0.0809 c. M: 0.1605 c. 1774: 436 311 274 158 292 303 N SD: 0.0642 c. M: 0.1256 c. 1786: 439 313 276 159 294 305 N SD: 0.0602 c. M: 0.0922 c. 2144: 527 376 331 191 353 366 N SD: 0.0485 c. M:-0.0686 c. 2156: 530 378 333 192 355 368 N SD: 0.0523 c. M:-0.0934 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 5.6213 cents 3 x 4 x 5 x 6 S SD: 29.0532 cents 4:5 x 6 x 7:8 S SD: 23.9493 cents 5:6:7 x 8:9:10 S SD: 16.9100 cents 9:11:12:13:14:16:18 SD: 13.7437 cents 10:12:13:15:16:18:20 SD: 10.4575 cents 12:14:16:18:19:21:24 SD: 6.7963 cents 17:20:23:25:27:30:34 SD: 5.7469 cents 21:25:28:31:33:37:42 SD: 4.7469 cents 26:31:35:39:41:46:52 SD: 3.4960 cents 27:32:36:40:43:48:54 SD: 2.5087 cents 41:49:55:61:65:73:82 SD: 2.4660 cents 49:58:66:73:78:87:98 SD: 2.1723 cents 53:63:71:79:84:94:106 SD: 0.9075 cents 108:128:145:161:171:192:216 SD: 0.8714 cents 118:140:158:176:187:210:236 SD: 0.5521 cents 130:154:174:194:206:231:260 SD: 0.4937 cents 157:186:210:234:249:279:314 SD: 0.4202 cents 183:217:245:273:290:325:366 SD: 0.3367 cents 210:249:281:313:333:373:420 SD: 0.2445 cents 318:377:426:474:504:565:636 SD: 0.1608 cents 345:409:462:514:547:613:690 SD: 0.1253 cents 463:549:620:690:734:823:926 SD: 0.1237 cents 475:563:636:708:753:844:950 SD: 0.1205 cents 516:612:691:769:818:917:1032 SD: 0.1070 cents 528:626:707:787:837:938:1056 SD: 0.0764 cents