Scala analysis: CD18_02_Tunisia
Istikhbâr, rbâb / Istikhbâr, 'ûd 'Arabî - L'ensemble de Muhammad Ghânim (sikah, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 120.978 cents 120.978157 2: 312.221 cents 312.221004 3: 487.047 cents 487.047459 4: 634.575 cents 634.574588 5: 822.367 cents 822.366658 6: 1043.904 cents 1043.903540 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 156.0965 cents 156.0965 1: 120.9782 cents 120.9782 2: 191.2428 cents 191.2428 3: 174.8265 cents 174.8265 4: 147.5271 cents 147.5271 5: 187.7921 cents 187.7921 6: 221.5369 cents 221.5369 7: 156.0965 cents 156.0965
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 120.97816 cents 1: 1 147.52713 cents 1: 1 156.09646 cents 1: 1 174.82645 cents 1: 1 187.79207 cents 1: 1 191.24285 cents 1: 1 221.53688 cents 2: 1 277.07462 cents 2: 1 312.22100 cents 2: 1 322.35358 cents 2: 1 335.31920 cents 2: 1 366.06930 cents 2: 1 377.63334 cents 2: 1 409.32895 cents 3: 1 468.31746 cents 3: 1 487.04746 cents 3: 1 498.61150 cents 3: 1 510.14565 cents 3: 1 513.59643 cents 3: 1 556.85608 cents 3: 1 565.42541 cents 4: 1 634.57459 cents 4: 1 643.14392 cents 4: 1 686.40357 cents 4: 1 689.85435 cents 4: 1 701.38850 cents 4: 1 712.95254 cents 4: 1 731.68254 cents 5: 1 790.67105 cents 5: 1 822.36666 cents 5: 1 833.93070 cents 5: 1 864.68080 cents 5: 1 877.64642 cents 5: 1 887.77900 cents 5: 1 922.92538 cents 6: 1 978.46312 cents 6: 1 1008.75715 cents 6: 1 1012.20793 cents 6: 1 1025.17355 cents 6: 1 1043.90354 cents 6: 1 1052.47287 cents 6: 1 1079.02184 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 : 121.0 312.2 487.0 634.6 822.4 1043.9 1200.0 121.0 : 191.2 366.1 513.6 701.4 922.9 1079.0 1200.0 312.2 : 174.8 322.4 510.1 731.7 887.8 1008.8 1200.0 487.0 : 147.5 335.3 556.9 713.0 833.9 1025.2 1200.0 634.6 : 187.8 409.3 565.4 686.4 877.6 1052.5 1200.0 822.4 : 221.5 377.6 498.6 689.9 864.7 1012.2 1200.0 1043.9: 156.1 277.1 468.3 643.1 790.7 978.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 120.9782 .. 221.5369 cents 100.55872 cents 120.97816 cents 2: 277.0746 .. 409.3290 cents 132.25434 cents 55.53773 cents 3: 468.3175 .. 565.4254 cents 97.10795 cents 58.98851 cents 4: 634.5746 .. 731.6825 cents 97.10795 cents 69.14918 cents 5: 790.6710 .. 922.9254 cents 132.25434 cents 58.98851 cents 6: 978.4631 .. 1079.0218 cents 100.55872 cents 55.53773 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 120.97816 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 221.53688 cents Average / Smallest step : 1.417021 Largest / Average step : 1.292298 Largest / Smallest step : 1.831214 Median interval of one step : 174.82645 cents, amount: 1 Least squares average step : 168.00082 cents, oct.: 1176.00577 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : AFDBEGC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 55.53773 cents Scale diversity : 1.600324 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.450132 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 : 3.45078 cents Number of recognisable fifths : 4, average 697.6497 cents Number of appreciable fifths : 3, average 701.3985 cents Best fifths form a closed circle 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: 34.4040 c. M:-51.1397 c. Lebeng 9: 1 1 2 1 1 2 1 P M ME S SD: 30.2810 c. M:-46.2859 c. 10: 1 2 1 1 2 2 1 P D3 S SD: 27.1049 c. M:-47.7790 c. 12: 1 2 2 1 2 2 2 P M ME S SD: 25.0154 c. M: 43.9035 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 2 2 2 2 2 SP M ME S SD: 23.1043 c. M: 35.2979 c. Zo-Kalarian 15: 2 2 2 2 2 3 2 SP M ME S SD: 17.6385 c. M:-39.0218 c. 17: 2 2 3 2 3 3 2 P D3 SD: 17.6590 c. M: 29.8681 c. 19: 2 3 3 2 3 4 2 P SD: 13.4729 c. M:-29.7807 c. 20: 2 3 3 3 3 3 3 SP M ME S SD: 15.7151 c. M:-25.4254 c. 21: 2 3 3 3 3 4 3 SP T3 SD: 18.5667 c. M: 29.9046 c. 22: 2 4 3 3 3 4 3 SP D3 SD: 11.0581 c. M:-19.9709 c. Gandhaara Grama (Somanatha) 23: 2 4 3 3 4 4 3 SP SD: 10.7521 c. M: 17.4822 c. 28: 3 4 4 4 4 5 4 SP T3 SD: 10.8228 c. M: 15.6189 c. 29: 3 5 4 3 5 5 4 SP SD: 10.4406 c. M:-18.8135 c. 30: 3 5 4 4 5 5 4 SP SD: 8.1656 c. M:-17.6333 c. 32: 3 5 5 4 5 6 4 SP SD: 6.2575 c. M: 12.2210 c. 38: 4 6 5 5 6 7 5 SP SD: 5.7785 c. M: 13.3632 c. 39: 4 6 6 5 6 7 5 SP SD: 6.1217 c. M:-11.5793 c. 41: 4 7 6 5 6 8 5 SP SD: 7.6604 c. M:-10.5135 c. 42: 4 7 6 5 7 8 5 SP SD: 6.5536 c. M:-13.2393 c. 47: 5 7 7 6 7 9 6 SP SD: 4.3649 c. M:-6.6814 c. 61: 6 10 9 7 10 11 8 SP SD: 3.3793 c. M: 5.0664 c. 69: 7 11 10 8 11 13 9 SP SD: 3.7462 c. M: 8.4876 c. 70: 7 11 10 9 11 13 9 SP SD: 3.1063 c. M: 7.0475 c. 76: 8 12 11 9 12 14 10 SP SD: 2.9531 c. M:-5.3376 c. 77: 8 12 11 10 12 14 10 SP SD: 2.9694 c. M:-4.3865 c. 89: 9 14 13 11 14 16 12 SP SD: 2.4079 c. M: 5.7013 c. 99: 10 16 14 12 16 18 13 SP SD: 2.3124 c. M: 4.2716 c. 108: 11 17 16 13 17 20 14 SP SD: 1.0707 c. M:-1.8414 c. 178: 18 28 26 22 28 33 23 SP SD: 1.1442 c. M: 2.1086 c. 185: 19 29 27 23 29 34 24 SP SD: 1.1710 c. M:-2.2651 c. 187: 19 30 27 23 29 35 24 SP SD: 1.3127 c. M:-2.2175 c. 197: 20 31 29 24 31 36 26 SP SD: 1.1694 c. M: 2.2792 c. 200: 20 32 29 25 31 37 26 SP SD: 0.7818 c. M:-1.4254 c. 261: 26 42 38 32 41 48 34 SP SD: 0.6311 c. M: 1.4379 c. 276: 28 44 40 34 43 51 36 SP SD: 0.5185 c. M:-0.8225 c. 308: 31 49 45 38 48 57 40 SP SD: 0.3189 c. M: 0.5327 c. 515: 52 82 75 63 81 95 67 SP SD: 0.3128 c. M: 0.7882 c. 537: 54 86 78 66 84 99 70 SP SD: 0.2957 c. M:-0.6282 c. 584: 59 93 85 72 91 108 76 SP SD: 0.2431 c. M: 0.4488 c. 645: 65 103 94 79 101 119 84 SP SD: 0.2174 c. M:-0.3944 c. 715: 72 114 104 88 112 132 93 SP SD: 0.1524 c. M: 0.3342 c. 823: 83 131 120 101 129 152 107 SP SD: 0.1433 c. M: 0.3097 c. 845: 85 135 123 104 132 156 110 SP SD: 0.1656 c. M: 0.2681 c. 953: 96 152 139 117 149 176 124 SP SD: 0.1178 c. M:-0.2558 c. 1023: 103 163 149 126 160 189 133 SP SD: 0.1402 c. M: 0.2439 c. 1099: 111 175 160 135 172 203 143 SP SD: 0.1302 c. M:-0.2229 c. 1131: 114 180 165 139 177 209 147 SP SD: 0.1286 c. M: 0.2847 c. 1261: 127 201 184 155 197 233 164 SP SD: 0.1250 c. M:-0.1849 c. 1299: 131 207 189 160 203 240 169 SP SD: 0.1134 c. M: 0.2114 c. 1360: 137 217 198 167 213 251 177 SP SD: 0.0924 c. M: 0.1628 c. 1545: 156 246 225 190 242 285 201 SP SD: 0.0954 c. M:-0.1869 c. 1668: 168 266 243 205 261 308 217 SP SD: 0.0529 c. M: 0.1148 c. 2313: 233 369 337 284 362 427 301 SP SD: 0.0801 c. M:-0.1121 c. 2360: 238 376 344 290 369 436 307 SP SD: 0.0693 c. M: 0.1633 c. 2383: 240 380 347 293 373 440 310 SP SD: 0.0686 c. M: 0.1221 c. 2390: 241 381 348 294 374 441 311 SP SD: 0.0519 c. M:-0.0803 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: 33.6902 cents 3 x x 4 x 5 x 6 S SD: 20.9867 cents 4 x 5 x 6 x 7:8 S SD: 31.2915 cents 5 x 6 x 7:8:9:10 S SD: 11.8146 cents 6 x 7:8:9:10:11:12 S SD: 17.1517 cents 7 x 8:9:10:11:13:14 SD: 18.1991 cents 9:10:11:12:13:14:16:18 S SD: 14.7932 cents 10:11:12:13:14:16:18:20 S SD: 11.5228 cents 11:12:13:15:16:18:20:22 SD: 10.1935 cents 12:13:14:16:17:19:22:24 SD: 9.2940 cents 13:14:16:17:19:21:24:26 SD: 8.6537 cents 15:16:18:20:22:24:27:30 S SD: 6.0548 cents 16:17:19:21:23:26:29:32 SD: 5.1753 cents 25:27:30:33:36:40:46:50 SD: 2.9522 cents 40:43:48:53:58:64:73:80 SD: 1.9500 cents 41:44:49:54:59:66:75:82 SD: 1.7245 cents 56:60:67:74:81:90:102:112 SD: 1.2796 cents 81:87:97:107:117:130:148:162 SD: 1.0009 cents 86:92:103:114:124:138:157:172 SD: 0.8647 cents 110:118:132:146:159:177:201:220 SD: 0.8283 cents 111:119:133:147:160:178:203:222 SD: 0.7592 cents 122:131:146:162:176:196:223:244 SD: 0.7078 cents 126:135:151:167:182:203:230:252 SD: 0.6902 cents 127:136:152:168:183:204:232:254 SD: 0.6883 cents 138:148:165:183:199:222:252:276 SD: 0.5314 cents 151:162:181:200:218:243:276:302 SD: 0.3574 cents 222:238:266:294:320:357:406:444 SD: 0.3302 cents 237:254:284:314:342:381:433:474 SD: 0.2349 cents 289:310:346:383:417:465:528:578 SD: 0.2102 cents 375:402:449:497:541:603:685:750 SD: 0.1821 cents 400:429:479:530:577:643:731:800 SD: 0.1033 cents 551:591:660:730:795:886:1007:1102 SD: 0.0662 cents