Scala analysis: CD17_02_Tunisia
Msaddar - L'ensemble de Muhammad Ghânim (rasd al-dhil, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 221.537 cents 221.536940 2: 294.612 cents 294.612382 3: 492.032 cents 492.032000 4: 678.656 cents 678.656212 5: 806.768 cents 806.768471 6: 995.442 cents 995.442079 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 204.5579 cents 204.5579 1: 221.5369 cents 221.5369 2: 73.0754 cents 73.0754 3: 197.4196 cents 197.4196 4: 186.6242 cents 186.6242 5: 128.1123 cents 128.1123 6: 188.6736 cents 188.6736 7: 204.5579 cents 204.5579
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 73.07544 cents 1: 1 128.11226 cents 1: 1 186.62421 cents 1: 1 188.67361 cents 1: 1 197.41962 cents 1: 1 204.55792 cents 1: 1 221.53694 cents 2: 1 270.49506 cents 2: 1 294.61238 cents 2: 1 314.73647 cents 2: 1 316.78587 cents 2: 1 384.04383 cents 2: 1 393.23153 cents 2: 1 426.09486 cents 3: 1 457.11927 cents 3: 1 492.03200 cents 3: 1 499.17030 cents 3: 1 503.41008 cents 3: 1 512.15609 cents 3: 1 521.34379 cents 3: 1 614.76847 cents 4: 1 585.23153 cents 4: 1 678.65621 cents 4: 1 687.84391 cents 4: 1 696.58992 cents 4: 1 700.82970 cents 4: 1 707.96800 cents 4: 1 742.88073 cents 5: 1 773.90514 cents 5: 1 806.76847 cents 5: 1 815.95617 cents 5: 1 883.21413 cents 5: 1 885.26353 cents 5: 1 905.38762 cents 5: 1 929.50494 cents 6: 1 978.46306 cents 6: 1 995.44208 cents 6: 1 1002.58038 cents 6: 1 1011.32639 cents 6: 1 1013.37579 cents 6: 1 1071.88774 cents 6: 1 1126.92456 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 : 221.5 294.6 492.0 678.7 806.8 995.4 1200.0 221.5 : 73.1 270.5 457.1 585.2 773.9 978.5 1200.0 294.6 : 197.4 384.0 512.2 700.8 905.4 1126.9 1200.0 492.0 : 186.6 314.7 503.4 708.0 929.5 1002.6 1200.0 678.7 : 128.1 316.8 521.3 742.9 816.0 1013.4 1200.0 806.8 : 188.7 393.2 614.8 687.8 885.3 1071.9 1200.0 995.4 : 204.6 426.1 499.2 696.6 883.2 1011.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 73.0754 .. 221.5369 cents 148.46150 cents 73.07544 cents 2: 270.4951 .. 426.0949 cents 155.59980 cents 48.95812 cents 3: 457.1193 .. 614.7685 cents 157.64920 cents 31.02441 cents 4: 585.2315 .. 742.8807 cents 157.64920 cents -29.53694 cents 5: 773.9051 .. 929.5049 cents 155.59980 cents 31.02441 cents 6: 978.4631 .. 1126.9246 cents 148.46150 cents 48.95812 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 73.07544 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 221.53694 cents Average / Smallest step : 2.345912 Largest / Average step : 1.292299 Largest / Smallest step : 3.031620 Median interval of one step : 188.67361 cents, amount: 1 Least squares average step : 167.19984 cents, oct.: 1170.39887 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : GAECBDF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 29.53694 cents Scale diversity : 1.664675 Lumma stability : 0.255097 Lumma impropriety factor : 0.024614 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 : 2.04940 cents Number of recognisable fifths : 4, average 698.3079 cents Number of appreciable fifths : 3, average 701.7959 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 35.8939 c. M:-50.3744 c. Lebeng 9: 2 0 2 1 1 1 2 N T3 SD: 34.9908 c. M: 62.1087 c. 10: 2 0 2 2 1 1 2 P D3 S SD: 32.8154 c. M: 54.6124 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 12.4125 c. M: 21.5369 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 25: 5 1 4 4 3 4 4 N SD: 10.8008 c. M:-18.4631 c. 28: 5 2 4 5 3 4 5 P SD: 10.0503 c. M: 20.6034 c. 29: 5 2 5 4 3 5 5 N SD: 11.7274 c. M: 20.5616 c. 30: 5 2 5 5 3 5 5 P T3 SD: 11.2791 c. M: 21.5369 c. 32: 6 2 5 5 4 5 5 P SD: 9.9878 c. M:-18.2315 c. 34: 6 2 6 5 4 5 6 P SD: 7.4846 c. M: 12.2594 c. 36: 7 2 6 5 4 6 6 N SD: 7.9463 c. M: 11.9895 c. 37: 7 2 6 6 4 6 6 N SD: 5.2069 c. M:-9.9633 c. 42: 8 2 7 7 4 7 7 N SD: 6.3805 c. M: 8.8981 c. 46: 8 3 8 7 5 7 8 P SD: 6.0664 c. M: 12.8413 c. 48: 9 3 8 7 5 8 8 N SD: 5.1334 c. M:-7.9680 c. 49: 9 3 8 8 5 8 8 N SD: 4.3625 c. M:-8.6396 c. 53: 10 3 9 8 6 8 9 N SD: 4.3282 c. M:-8.3259 c. 58: 11 3 10 9 6 9 10 N SD: 3.8528 c. M:-6.0493 c. 64: 12 4 10 10 7 10 11 N SD: 3.3393 c. M:-5.3876 c. 65: 12 4 11 10 7 10 11 N SD: 3.6714 c. M:-6.4295 c. 70: 13 4 12 11 7 11 12 N SD: 3.5910 c. M:-7.0581 c. 71: 13 4 12 11 8 11 12 N SD: 3.5864 c. M: 7.2884 c. 76: 14 5 12 12 8 12 13 N SD: 2.3499 c. M:-5.3876 c. 86: 16 5 14 14 9 13 15 N SD: 3.2394 c. M:-5.0647 c. 88: 16 6 14 14 9 14 15 N SD: 2.8406 c. M:-5.3876 c. 98: 18 6 16 15 11 15 17 N SD: 2.6366 c. M: 5.1868 c. 101: 19 6 16 16 11 16 17 N SD: 2.8682 c. M: 4.9033 c. 102: 19 6 17 16 11 16 17 N SD: 3.1160 c. M:-4.9962 c. 103: 19 6 17 16 11 16 18 N SD: 2.9770 c. M: 5.1508 c. 107: 20 6 18 17 11 17 18 N SD: 2.8361 c. M:-5.4559 c. 110: 20 7 18 17 12 17 19 N SD: 1.9050 c. M: 3.3551 c. 119: 22 7 20 18 13 19 20 N SD: 1.9500 c. M: 3.0260 c. 122: 23 7 20 19 13 19 21 N SD: 1.9397 c. M:-4.6926 c. 125: 23 8 20 20 13 20 21 N SD: 2.1691 c. M:-2.9876 c. 129: 24 8 21 20 14 20 22 N SD: 1.6866 c. M:-3.0620 c. 134: 25 8 22 21 14 21 23 N SD: 1.3614 c. M:-2.3437 c. 147: 27 9 24 23 16 23 25 N SD: 1.2076 c. M: 2.2361 c. 164: 30 10 27 26 17 26 28 N SD: 1.6058 c. M: 2.0247 c. 168: 31 10 28 26 18 26 29 N SD: 1.2307 c. M: 2.5849 c. 195: 36 12 32 30 21 31 33 N SD: 0.9447 c. M: 1.7331 c. 205: 38 12 34 32 22 32 35 N SD: 0.9223 c. M: 1.9295 c. 207: 38 13 34 32 22 33 35 N SD: 1.0007 c. M:-1.6594 c. 217: 40 13 36 34 23 34 37 N SD: 0.8587 c. M:-1.5281 c. 244: 45 15 40 38 26 38 42 N SD: 0.7899 c. M: 1.9995 c. 248: 46 15 41 38 27 39 42 N SD: 1.1132 c. M:-1.5164 c. 251: 46 16 41 39 27 39 43 N SD: 1.1052 c. M:-1.8020 c. 253: 47 15 42 39 27 40 43 N SD: 0.8017 c. M:-1.3880 c. 265: 49 16 44 41 28 42 45 N SD: 0.7657 c. M:-1.5529 c. 281: 52 17 46 44 30 44 48 N SD: 0.4729 c. M: 0.9288 c. 363: 67 22 60 56 39 57 62 N SD: 0.4733 c. M: 0.9703 c. 375: 69 23 62 58 40 59 64 N SD: 0.4532 c. M:-0.7680 c. 400: 74 24 66 62 43 63 68 N SD: 0.4450 c. M: 0.6562 c. 412: 76 25 68 64 44 65 70 N SD: 0.3206 c. M:-0.6744 c. 476: 88 29 78 74 51 75 81 N SD: 0.3360 c. M: 0.5050 c. 488: 90 30 80 76 52 77 83 N SD: 0.2880 c. M:-0.4696 c. 546: 101 33 90 85 58 86 93 N SD: 0.2816 c. M:-0.4647 c. 644: 119 39 106 100 69 101 110 N SD: 0.2457 c. M: 0.4110 c. 656: 121 40 108 102 70 103 112 N SD: 0.1494 c. M: 0.3201 c. 693: 128 42 114 108 74 109 118 N SD: 0.1813 c. M: 0.2571 c. 937: 173 57 154 146 100 147 160 N SD: 0.1709 c. M: 0.3514 c. 985: 182 60 162 153 105 155 168 N SD: 0.1667 c. M: 0.2710 c. 1056: 195 64 174 164 113 166 180 N SD: 0.1480 c. M: 0.2942 c. 1068: 197 65 176 166 114 168 182 N SD: 0.1219 c. M: 0.2304 c. 1132: 209 69 186 176 121 178 193 N SD: 0.1083 c. M: 0.2110 c. 1144: 211 70 188 178 122 180 195 N SD: 0.1104 c. M: 0.2083 c. 1197: 221 73 197 186 128 188 204 N SD: 0.1315 c. M:-0.2491 c. 1202: 222 73 198 187 128 189 205 N SD: 0.1249 c. M:-0.2123 c. 1349: 249 82 222 210 144 212 230 N SD: 0.0866 c. M: 0.1721 c. 1544: 285 94 254 240 165 243 263 N SD: 0.0909 c. M: 0.1588 c. 1678: 310 102 276 261 179 264 286 N SD: 0.0705 c. M:-0.1556 c. 1788: 330 109 294 278 191 281 305 N SD: 0.0860 c. M: 0.1401 c. 1837: 339 112 302 286 196 289 313 N SD: 0.0766 c. M: 0.1431 c. 2053: 379 125 338 319 219 323 350 N SD: 0.0746 c. M: 0.1440 c. 2166: 400 132 356 337 231 341 369 N SD: 0.0887 c. M:-0.1258 c. 2200: 406 134 362 342 235 346 375 N SD: 0.0614 c. M: 0.1108 c. 2329: 430 142 383 362 249 366 397 N SD: 0.0646 c. M:-0.1064 c. 2334: 431 142 384 363 249 367 398 N SD: 0.0469 c. M: 0.0847 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: 11.6494 cents 3 x x 4 x 5 x 6 S SD: 25.9410 cents 4 x 5 x 6 x 7:8 S SD: 24.5718 cents 5 x 6:7 x 8:9:10 S SD: 19.1495 cents 6 x 7:8:9:10:11:12 S SD: 16.8953 cents 7:8 x 9:10:11:12:14 S SD: 17.9116 cents 8:9 x 11:12:13:14:16 SD: 13.1408 cents 9:10:11:12:13:14:16:18 S SD: 12.6767 cents 10:11:12:13:15:16:18:20 SD: 11.2030 cents 11 x 13:15:16:18:20:22 SD: 13.5499 cents 12 x 14:16:18:19:21:24 SD: 7.7865 cents 13:15 x 17:19:21:23:26 SD: 8.3816 cents 15:17:18:20:22:24:27:30 SD: 5.1193 cents 21:24:25:28:31:33:37:42 SD: 4.5434 cents 22:25:26:29:33:35:39:44 SD: 4.0121 cents 27:31:32:36:40:43:48:54 SD: 2.6810 cents 37:42:44:49:55:59:66:74 SD: 1.8481 cents 54:61:64:72:80:86:96:108 SD: 1.7605 cents 58:66:69:77:86:92:103:116 SD: 1.5695 cents 64:73:76:85:95:102:114:128 SD: 1.3632 cents 79:90:94:105:117:126:140:158 SD: 1.3165 cents 81:92:96:108:120:129:144:162 SD: 0.9306 cents 103:117:122:137:152:164:183:206 SD: 0.8241 cents 118:134:140:157:175:188:210:236 SD: 0.7663 cents 125:142:148:166:185:199:222:250 SD: 0.4657 cents 140:159:166:186:207:223:249:280 SD: 0.3753 cents 243:276:288:323:360:387:432:486 SD: 0.3702 cents 264:300:313:351:391:421:469:528 SD: 0.3082 cents 265:301:314:352:392:422:471:530 SD: 0.3008 cents 286:325:339:380:423:456:508:572 SD: 0.2388 cents 323:367:383:429:478:515:574:646 SD: 0.1803 cents 350:398:415:465:518:558:622:700 SD: 0.1789 cents 404:459:479:537:598:644:718:808 SD: 0.1504 cents 475:540:563:631:703:757:844:950 SD: 0.1110 cents