Scala analysis: CD18_19_Tunisia
Istikhbâr, Muhayyir 'Irâq / Danse de la Ghayta - L'ensemble de Muhammad Ghânim (muhayyar sikah, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 94.364 cents 94.363929 2: 272.415 cents 272.414754 3: 517.682 cents 517.682276 4: 640.548 cents 640.548194 5: 786.808 cents 786.808374 6: 1018.253 cents 1018.252818 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 181.7472 cents 181.7472 1: 94.3639 cents 94.3639 2: 178.0508 cents 178.0508 3: 245.2675 cents 245.2675 4: 122.8659 cents 122.8659 5: 146.2602 cents 146.2602 6: 231.4444 cents 231.4444 7: 181.7472 cents 181.7472
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 94.36393 cents 1: 1 122.86592 cents 1: 1 146.26018 cents 1: 1 178.05082 cents 1: 1 181.74718 cents 1: 1 231.44444 cents 1: 1 245.26752 cents 2: 1 269.12610 cents 2: 1 272.41475 cents 2: 1 276.11111 cents 2: 1 368.13344 cents 2: 1 377.70462 cents 2: 1 413.19163 cents 2: 1 423.31835 cents 3: 1 454.16194 cents 3: 1 500.57054 cents 3: 1 507.55556 cents 3: 1 514.39362 cents 3: 1 517.68228 cents 3: 1 546.18426 cents 3: 1 559.45181 cents 4: 1 640.54819 cents 4: 1 653.81574 cents 4: 1 682.31772 cents 4: 1 685.60638 cents 4: 1 692.44444 cents 4: 1 699.42946 cents 4: 1 745.83806 cents 5: 1 776.68165 cents 5: 1 786.80837 cents 5: 1 822.29538 cents 5: 1 831.86656 cents 5: 1 923.88889 cents 5: 1 927.58525 cents 5: 1 930.87390 cents 6: 1 954.73248 cents 6: 1 968.55556 cents 6: 1 1018.25282 cents 6: 1 1021.94918 cents 6: 1 1053.73982 cents 6: 1 1077.13408 cents 6: 1 1105.63607 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 : 94.4 272.4 517.7 640.5 786.8 1018.3 1200.0 94.4 : 178.1 423.3 546.2 692.4 923.9 1105.6 1200.0 272.4 : 245.3 368.1 514.4 745.8 927.6 1021.9 1200.0 517.7 : 122.9 269.1 500.6 682.3 776.7 954.7 1200.0 640.5 : 146.3 377.7 559.5 653.8 831.9 1077.1 1200.0 786.8 : 231.4 413.2 507.6 685.6 930.9 1053.7 1200.0 1018.3: 181.7 276.1 454.2 699.4 822.3 968.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 94.3639 .. 245.2675 cents 150.90359 cents 94.36393 cents 2: 269.1261 .. 423.3183 cents 154.19225 cents 23.85858 cents 3: 454.1619 .. 559.4518 cents 105.28987 cents 30.84359 cents 4: 640.5482 .. 745.8381 cents 105.28987 cents 81.09639 cents 5: 776.6817 .. 930.8739 cents 154.19225 cents 30.84359 cents 6: 954.7325 .. 1105.6361 cents 150.90359 cents 23.85858 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 94.36393 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 245.26752 cents Average / Smallest step : 1.816675 Largest / Average step : 1.430727 Largest / Smallest step : 2.599166 Median interval of one step : 178.05082 cents, amount: 1 Least squares average step : 165.69994 cents, oct.: 1159.89959 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : ADGBCFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 23.85858 cents Scale diversity : 1.600788 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.316024 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 : 3.28866 cents Number of recognisable fifths : 2, average 695.9370 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 150.9036 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 50.7177 c. M:-77.0646 c. Lebeng 8: 1 1 1 1 1 2 1 P M ME S SD: 42.1631 c. M: 67.6823 c. 9: 1 1 2 1 1 2 1 P M ME S SD: 26.7173 c. M:-48.4138 c. 12: 1 2 2 1 2 2 2 P M ME S SD: 21.5695 c. M: 40.5482 c. G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, G.M.Hyperaeolian, Rut biscale descending, Pien chih: China, Makam Lami, Yishtabach: Jewish 13: 1 2 3 1 2 2 2 P D3 SD: 21.7275 c. M:-43.9609 c. 14: 1 2 3 1 2 3 2 P T3 SD: 18.1531 c. M: 40.5482 c. 15: 1 2 3 2 2 3 2 P T3 S SD: 21.7920 c. M: 37.6823 c. 17: 1 3 3 2 2 3 3 SP D3 S SD: 17.9478 c. M: 30.0175 c. 18: 1 3 4 2 2 3 3 P SD: 17.8665 c. M: 27.6973 c. 19: 1 3 4 2 2 4 3 P S SD: 18.8815 c. M: 31.2060 c. 20: 2 3 4 2 2 4 3 P S SD: 18.2992 c. M:-27.5852 c. 21: 2 3 4 2 3 4 3 SP T3 SD: 12.0073 c. M:-19.9218 c. 25: 2 4 5 2 3 5 4 P SD: 12.4485 c. M: 18.8084 c. 26: 2 4 5 3 3 5 4 SP S SD: 4.9108 c. M: 9.9900 c. 41: 3 6 9 4 5 8 6 P SD: 6.1923 c. M:-9.1470 c. 47: 4 7 9 5 6 9 7 SP SD: 5.5701 c. M:-8.4363 c. 49: 4 7 10 5 6 10 7 SP SD: 4.8472 c. M:-10.3186 c. 53: 4 8 11 5 7 10 8 SP SD: 3.7795 c. M: 6.5859 c. 62: 5 9 13 6 8 12 9 SP SD: 4.4363 c. M:-7.5536 c. 65: 5 10 13 7 8 12 10 SP SD: 4.0410 c. M:-7.0378 c. 66: 5 10 13 7 8 13 10 SP SD: 4.2806 c. M: 8.5914 c. 67: 5 10 14 7 8 13 10 SP SD: 3.0859 c. M: 4.8117 c. 79: 6 12 16 8 10 15 12 SP SD: 2.0427 c. M: 3.2247 c. 88: 7 13 18 9 11 17 13 SP SD: 2.3453 c. M:-4.4745 c. 105: 8 16 21 11 13 20 16 SP SD: 2.0105 c. M: 3.3966 c. 111: 9 16 23 11 14 21 17 SP SD: 2.1346 c. M:-2.9334 c. 114: 9 17 23 12 14 22 17 SP SD: 1.8008 c. M:-2.7998 c. 127: 10 19 26 13 15 25 19 SP SD: 1.7703 c. M: 2.5564 c. 137: 11 20 28 14 17 26 21 SP SD: 1.4096 c. M: 2.1944 c. 163: 13 24 33 17 20 31 25 SP SD: 1.3862 c. M: 2.3449 c. 180: 14 27 37 18 22 35 27 SP SD: 1.2335 c. M:-2.3177 c. 204: 16 30 42 21 25 39 31 SP SD: 0.9408 c. M: 1.8265 c. 206: 16 31 42 21 25 40 31 SP SD: 0.8767 c. M:-1.3717 c. 230: 18 34 47 24 28 44 35 SP SD: 0.9242 c. M:-1.1909 c. 238: 19 35 49 24 29 46 36 SP SD: 0.8410 c. M:-1.6455 c. 255: 20 38 52 26 31 49 39 SP SD: 0.8171 c. M: 1.7822 c. 264: 21 39 54 27 32 51 40 SP SD: 0.5168 c. M:-1.0906 c. 290: 23 43 59 30 35 56 44 SP SD: 0.5950 c. M:-0.8311 c. 317: 25 47 65 32 39 61 48 SP SD: 0.5251 c. M:-0.9297 c. 343: 27 51 70 35 42 66 52 SP SD: 0.2686 c. M:-0.4715 c. 607: 48 90 124 62 74 117 92 SP SD: 0.2765 c. M:-0.5290 c. 674: 53 100 138 69 82 130 102 SP SD: 0.2317 c. M:-0.4186 c. 714: 56 106 146 73 87 138 108 SP SD: 0.1881 c. M: 0.2538 c. 851: 67 126 174 87 104 164 129 SP SD: 0.1956 c. M: 0.3602 c. 978: 77 145 200 100 119 189 148 SP SD: 0.1440 c. M: 0.3053 c. 1017: 80 151 208 104 124 196 154 SP SD: 0.1661 c. M:-0.3118 c. 1043: 82 155 213 107 127 201 158 SP SD: 0.1617 c. M:-0.2955 c. 1057: 83 157 216 108 129 204 160 SP SD: 0.1162 c. M: 0.2455 c. 1083: 85 161 221 111 132 209 164 SP SD: 0.1389 c. M: 0.2308 c. 1182: 93 175 242 121 144 228 179 SP SD: 0.1338 c. M: 0.3335 c. 1208: 95 179 247 124 147 233 183 SP SD: 0.1238 c. M: 0.2293 c. 1287: 101 191 263 132 157 248 195 SP SD: 0.1333 c. M: 0.1998 c. 1321: 104 196 270 135 161 255 200 SP SD: 0.1015 c. M: 0.1316 c. 1525: 120 226 312 156 186 294 231 SP SD: 0.0774 c. M: 0.1525 c. 1551: 122 230 317 159 189 299 235 SP SD: 0.0589 c. M: 0.0807 c. 1894: 149 281 387 194 231 365 287 SP SD: 0.0562 c. M:-0.0976 c. 2265: 178 336 463 232 276 437 343 SP SD: 0.0550 c. M: 0.0969 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: 30.7034 cents 3 x x 4 x 5 x 6 S SD: 33.1691 cents 4 x 5 x 6 x 7:8 S SD: 34.6291 cents 5 x 6 x 7:8:9:10 S SD: 15.4396 cents 6 x 7:8:9 x 11:12 SD: 14.3597 cents 7 x 8:9:10:11:13:14 SD: 18.2044 cents 8 x 9:11:12:13:14:16 SD: 20.3605 cents 9:10:11:12:13:14:16:18 S SD: 17.3479 cents 11:12:13:15:16:17:20:22 SD: 10.3675 cents 12:13:14:16:17:19:22:24 SD: 9.9232 cents 14:15:16:19:20:22:25:28 SD: 8.0940 cents 16:17:19:22:23:25:29:32 SD: 6.9303 cents 17:18:20:23:25:27:31:34 SD: 5.6131 cents 18:19:21:24:26:28:32:36 SD: 5.3507 cents 23:24:27:31:33:36:41:46 SD: 4.7960 cents 29:31:34:39:42:46:52:58 SD: 3.7024 cents 31:33:36:42:45:49:56:62 SD: 3.2787 cents 34:36:40:46:49:54:61:68 SD: 2.9737 cents 35:37:41:47:51:55:63:70 SD: 2.0413 cents 40:42:47:54:58:63:72:80 SD: 1.7805 cents 52:55:61:70:75:82:94:104 SD: 1.5835 cents 54:57:63:73:78:85:97:108 SD: 1.3137 cents 69:73:81:93:100:109:124:138 SD: 1.2457 cents 71:75:83:96:103:112:128:142 SD: 0.9868 cents 89:94:104:120:129:140:160:178 SD: 0.7345 cents 123:130:144:166:178:194:221:246 SD: 0.6892 cents 129:136:151:174:187:203:232:258 SD: 0.6655 cents 141:149:165:190:204:222:254:282 SD: 0.3457 cents 181:191:212:244:262:285:326:362 SD: 0.3043 cents 212:224:248:286:307:334:382:424 SD: 0.2748 cents 252:266:295:340:365:397:454:504 SD: 0.2409 cents 322:340:377:434:466:507:580:644 SD: 0.2357 cents 341:360:399:460:494:537:614:682 SD: 0.2247 cents 375:396:439:506:543:591:675:750 SD: 0.2128 cents 393:415:460:530:569:619:708:786 SD: 0.1276 cents 516:545:604:696:747:813:929:1032 SD: 0.0925 cents