Scala analysis: CD17_10_Tunisia
De ma crainte et de ma passion - 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: 295.021 cents 295.020902 2: 490.933 cents 490.932710 3: 674.709 cents 674.709260 4: 786.688 cents 786.687584 5: 989.583 cents 989.583169 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 210.4168 cents 210.4168 1: 295.0209 cents 295.0209 2: 195.9118 cents 195.9118 3: 183.7765 cents 183.7765 4: 111.9783 cents 111.9783 5: 202.8956 cents 202.8956 6: 210.4168 cents 210.4168
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 111.97832 cents 1: 1 183.77655 cents 1: 1 195.91181 cents 1: 1 202.89558 cents 1: 1 210.41683 cents 1: 1 295.02090 cents 2: 1 295.75487 cents 2: 1 314.87391 cents 2: 1 379.68836 cents 2: 1 413.31242 cents 2: 1 490.93271 cents 2: 1 505.43773 cents 3: 1 491.66668 cents 3: 1 498.65046 cents 3: 1 525.29074 cents 3: 1 674.70926 cents 3: 1 701.34954 cents 3: 1 708.33332 cents 4: 1 694.56227 cents 4: 1 709.06729 cents 4: 1 786.68758 cents 4: 1 820.31164 cents 4: 1 885.12609 cents 4: 1 904.24513 cents 5: 1 904.97910 cents 5: 1 989.58317 cents 5: 1 997.10441 cents 5: 1 1004.08819 cents 5: 1 1016.22345 cents 5: 1 1088.02168 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 : 295.0 490.9 674.7 786.7 989.6 1200.0 295.0 : 195.9 379.7 491.7 694.6 905.0 1200.0 490.9 : 183.8 295.8 498.7 709.1 1004.1 1200.0 674.7 : 112.0 314.9 525.3 820.3 1016.2 1200.0 786.7 : 202.9 413.3 708.3 904.2 1088.0 1200.0 989.6 : 210.4 505.4 701.3 885.1 997.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 111.9783 .. 295.0209 cents 183.04258 cents 111.97832 cents 2: 295.7549 .. 505.4377 cents 209.68286 cents 0.73397 cents 3: 491.6667 .. 708.3333 cents 216.66664 cents -13.77105 cents 4: 694.5623 .. 904.2451 cents 209.68286 cents -13.77105 cents 5: 904.9791 .. 1088.0217 cents 183.04258 cents 0.73397 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 111.97832 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 295.02090 cents Average / Smallest step : 1.786060 Largest / Average step : 1.475105 Largest / Smallest step : 2.634625 Median interval of one step : 199.40370 cents, amount: 0 Least squares average step : 204.34813 cents, oct.: 1226.08881 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : FCBADE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.73397 cents Scale diversity : 1.505844 Lumma stability : 0.187854 Lumma impropriety factor : 0.022952 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 : 0.73397 cents Number of recognisable fifths : 4, average 703.3281 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 62.1355 c. M: 95.0209 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 2 1 1 1 1 1 P M ME SD: 39.6628 c. M:-70.4553 c. 9: 2 2 1 1 1 2 N SD: 31.6431 c. M: 56.2498 c. 12: 3 2 2 1 2 2 P G D3 SD: 13.1172 c. M:-25.2907 c. Phrygian Hexatonic, Raga Desya Todi, Gopikavasantam (Gopika Basant), Jayantasri 21: 5 4 3 2 3 4 N SD: 14.4908 c. M:-23.3530 c. 22: 5 4 3 2 4 4 P SD: 15.7863 c. M: 23.0512 c. 23: 6 3 4 2 4 4 N SD: 11.6447 c. M: 21.3675 c. 26: 6 5 4 2 4 5 N SD: 14.9256 c. M: 20.3524 c. 27: 7 4 4 3 4 5 N SD: 10.3629 c. M:-16.0902 c. 29: 7 5 4 3 5 5 P SD: 6.2285 c. M: 12.6403 c. 34: 8 6 5 3 6 6 P SD: 6.9977 c. M: 12.6680 c. 41: 10 7 6 4 7 7 P SD: 3.9811 c. M:-6.6283 c. 52: 13 8 8 5 9 9 N SD: 4.2117 c. M: 6.3173 c. 53: 13 9 8 5 9 9 P SD: 4.9995 c. M:-7.1805 c. 57: 14 9 9 5 10 10 N SD: 4.2080 c. M: 7.7402 c. 61: 15 10 9 6 10 11 N SD: 3.4357 c. M: 5.9766 c. 64: 16 10 10 6 11 11 N SD: 3.0189 c. M:-4.9791 c. 69: 17 11 11 6 12 12 N SD: 2.8408 c. M: 4.0789 c. 73: 18 12 11 7 12 13 N SD: 1.9377 c. M: 3.2818 c. 98: 24 16 15 9 17 17 N SD: 1.7464 c. M: 3.0141 c. 110: 27 18 17 10 19 19 N SD: 1.5475 c. M:-3.1441 c. 125: 31 20 19 12 21 22 N SD: 1.6655 c. M: 2.7093 c. 130: 32 21 20 12 22 23 N SD: 1.3930 c. M: 2.0722 c. 137: 34 22 21 13 23 24 N SD: 1.3374 c. M:-2.7893 c. 142: 35 23 22 13 24 25 N SD: 0.8495 c. M:-1.3471 c. 171: 42 28 26 16 29 30 N SD: 0.5405 c. M: 1.0250 c. 183: 45 30 28 17 31 32 N SD: 0.5210 c. M:-0.8706 c. 313: 77 51 48 29 53 55 N SD: 0.3721 c. M: 0.7451 c. 354: 87 58 54 33 60 62 N SD: 0.2893 c. M:-0.5927 c. 496: 122 81 76 46 84 87 N SD: 0.2255 c. M: 0.3973 c. 667: 164 109 102 62 113 117 N SD: 0.2196 c. M: 0.4807 c. 804: 198 131 123 75 136 141 N SD: 0.2184 c. M:-0.5015 c. 834: 205 136 128 78 141 146 N SD: 0.2406 c. M:-0.3628 c. 850: 209 139 130 79 144 149 N SD: 0.2086 c. M:-0.3614 c. 895: 220 146 137 84 151 157 N SD: 0.2096 c. M:-0.3515 c. 900: 221 147 138 84 152 158 N SD: 0.2085 c. M: 0.3542 c. 912: 224 149 140 85 154 160 N SD: 0.1922 c. M:-0.2907 c. 1005: 247 164 154 94 170 176 N SD: 0.1602 c. M:-0.2676 c. 1078: 265 176 165 101 182 189 N SD: 0.1438 c. M:-0.3254 c. 1083: 266 177 166 101 183 190 N SD: 0.1325 c. M: 0.2841 c. 1147: 282 187 176 107 194 201 N SD: 0.1276 c. M: 0.2614 c. 1176: 289 192 180 110 199 206 N SD: 0.1439 c. M: 0.2195 c. 1208: 297 197 185 113 204 212 N SD: 0.1420 c. M: 0.2059 c. 1220: 300 199 187 114 206 214 N SD: 0.1026 c. M:-0.1977 c. 1318: 324 215 202 123 223 231 N SD: 0.0917 c. M: 0.1892 c. 1339: 329 219 205 125 226 235 N SD: 0.1535 c. M: 0.1881 c. 1359: 334 222 208 127 230 238 N SD: 0.1241 c. M:-0.2623 c. 1362: 335 222 209 127 230 239 N SD: 0.1401 c. M: 0.1838 c. 1391: 342 227 213 130 235 244 N SD: 0.0648 c. M: 0.0867 c. 1574: 387 257 241 147 266 276 N SD: 0.0451 c. M:-0.0977 c. 1887: 464 308 289 176 319 331 N SD: 0.0414 c. M: 0.0760 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 13.6229 cents 3 x 4 x 5 x 6 S SD: 32.6432 cents 4:5 x 6 x 7:8 S SD: 24.3767 cents 5:6:7 x 8:9:10 S SD: 20.3231 cents 6:7:8:9 x 11:12 SD: 14.3652 cents 9:11:12:13:14:16:18 SD: 11.5016 cents 10:12:13:15:16:18:20 SD: 10.5797 cents 12:14:16:18:19:21:24 SD: 7.6283 cents 16:19:21:24:25:28:32 SD: 7.0380 cents 17:20:23:25:27:30:34 SD: 6.5120 cents 21:25:28:31:33:37:42 SD: 2.3354 cents 48:57:64:71:76:85:96 SD: 2.0052 cents 49:58:65:72:77:87:98 SD: 1.8266 cents 61:72:81:90:96:108:122 SD: 1.3823 cents 70:83:93:103:110:124:140 SD: 1.2376 cents 80:95:106:118:126:142:160 SD: 1.0294 cents 82:97:109:121:129:145:164 SD: 0.9851 cents 92:109:122:136:145:163:184 SD: 0.5939 cents 113:134:150:167:178:200:226 SD: 0.3337 cents 210:249:279:310:331:372:420 SD: 0.2499 cents 275:326:365:406:433:487:550 SD: 0.2061 cents 323:383:429:477:509:572:646 SD: 0.1404 cents 485:575:644:716:764:859:970 SD: 0.0792 cents 598:709:794:883:942:1059:1196 SD: 0.0587 cents