Scala analysis: CD18_10_Tunisia
Pare-là, ô coiffeuse ! - L'ensemble de Muhammad Ghânim (muhayyar iraq, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 69.032 cents 69.032220 2: 276.114 cents 276.114104 3: 492.404 cents 492.403893 4: 664.979 cents 664.979167 5: 768.946 cents 768.946321 6: 995.667 cents 995.666667 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 204.3333 cents 204.3333 1: 69.0322 cents 69.0322 2: 207.0819 cents 207.0819 3: 216.2898 cents 216.2898 4: 172.5753 cents 172.5753 5: 103.9672 cents 103.9672 6: 226.7203 cents 226.7203 7: 204.3333 cents 204.3333
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 69.03222 cents 1: 1 103.96715 cents 1: 1 172.57527 cents 1: 1 204.33333 cents 1: 1 207.08188 cents 1: 1 216.28979 cents 1: 1 226.72035 cents 2: 1 273.36555 cents 2: 1 276.11410 cents 2: 1 276.54243 cents 2: 1 330.68750 cents 2: 1 388.86506 cents 2: 1 423.37167 cents 2: 1 431.05368 cents 3: 1 480.44744 cents 3: 1 492.40389 cents 3: 1 492.83222 cents 3: 1 500.08590 cents 3: 1 503.26277 cents 3: 1 535.02083 cents 3: 1 595.94695 cents 4: 1 604.05305 cents 4: 1 664.97917 cents 4: 1 696.73723 cents 4: 1 699.91410 cents 4: 1 707.16778 cents 4: 1 707.59611 cents 4: 1 719.55256 cents 5: 1 768.94632 cents 5: 1 776.62833 cents 5: 1 811.13494 cents 5: 1 869.31250 cents 5: 1 923.45757 cents 5: 1 923.88590 cents 5: 1 926.63445 cents 6: 1 973.27965 cents 6: 1 983.71021 cents 6: 1 992.91812 cents 6: 1 995.66667 cents 6: 1 1027.42473 cents 6: 1 1096.03285 cents 6: 1 1130.96778 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 : 69.0 276.1 492.4 665.0 768.9 995.7 1200.0 69.0 : 207.1 423.4 595.9 699.9 926.6 1131.0 1200.0 276.1 : 216.3 388.9 492.8 719.6 923.9 992.9 1200.0 492.4 : 172.6 276.5 503.3 707.6 776.6 983.7 1200.0 665.0 : 104.0 330.7 535.0 604.1 811.1 1027.4 1200.0 768.9 : 226.7 431.1 500.1 707.2 923.5 1096.0 1200.0 995.7 : 204.3 273.4 480.4 696.7 869.3 973.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 69.0322 .. 226.7203 cents 157.68813 cents 69.03222 cents 2: 273.3656 .. 431.0537 cents 157.68813 cents 46.64521 cents 3: 480.4474 .. 595.9469 cents 115.49951 cents 49.39376 cents 4: 604.0531 .. 719.5526 cents 115.49951 cents 8.10611 cents 5: 768.9463 .. 926.6344 cents 157.68813 cents 49.39376 cents 6: 973.2797 .. 1130.9678 cents 157.68813 cents 46.64521 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 69.03222 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 226.72035 cents Average / Smallest step : 2.483312 Largest / Average step : 1.322535 Largest / Smallest step : 3.284269 Median interval of one step : 204.33333 cents, amount: 1 Least squares average step : 164.12229 cents, oct.: 1148.85602 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : AEFCBGD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 8.10611 cents Scale diversity : 1.649711 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.281874 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 : 0.42832 cents Number of recognisable fifths : 5, average 706.1936 cents Number of appreciable fifths : 4, average 702.8538 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 2 1 1 1 1 1 N T3 SD: 52.0854 c. M:-88.1965 c. 8: 0 2 1 1 1 1 2 P D3 S SD: 54.5991 c. M: 95.6667 c. 9: 1 1 2 1 1 2 1 P M ME S SD: 41.2437 c. M:-71.0000 c. 10: 0 2 2 1 1 2 2 P D3 S SD: 44.9026 c. M: 69.0322 c. 11: 0 2 2 2 1 2 2 N T3 SD: 40.6921 c. M: 69.0322 c. 12: 1 2 2 2 1 2 2 P M ME S SD: 23.2895 c. M:-35.0208 c. G.Dorian, M.Phrygian, G.M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Bilashkhani Todi, Ghanta, Makam Kurd, Gregorian nr.3, In, Zokuso: Japan, Ousak: Greece, Major inverse 13: 1 2 2 2 1 3 2 P D3 SD: 21.2723 c. M: 30.8654 c. 14: 1 2 3 2 1 3 2 P T3 SD: 19.4049 c. M:-32.9048 c. 16: 1 3 3 2 1 3 3 P SD: 19.1055 c. M:-32.5961 c. Gorgo-Pelog 17: 1 3 3 2 2 3 3 SP D3 S SD: 12.1733 c. M: 29.6850 c. 20: 1 4 3 3 2 4 3 P SD: 14.8567 c. M:-24.3333 c. 22: 1 4 4 3 2 4 4 P SD: 8.8835 c. M: 14.4868 c. 31: 2 5 6 4 3 6 5 SP SD: 7.6121 c. M:-10.8219 c. 34: 2 6 6 5 3 6 6 P SD: 5.1766 c. M:-7.5243 c. 36: 2 6 7 5 3 7 6 P SD: 5.0621 c. M: 9.4474 c. 47: 3 8 8 7 4 9 8 SP SD: 4.5223 c. M:-7.5635 c. 53: 3 9 10 7 5 10 9 SP SD: 4.2179 c. M: 8.3754 c. 58: 3 10 11 8 5 11 10 P SD: 4.5291 c. M: 7.1486 c. 65: 4 11 12 9 6 12 11 SP SD: 3.8487 c. M:-6.4383 c. 69: 4 12 12 10 6 13 12 SP SD: 3.4721 c. M: 5.4474 c. 70: 4 12 13 10 6 13 12 P SD: 2.5908 c. M:-4.7390 c. 83: 5 14 15 12 7 16 14 SP SD: 1.8597 c. M:-3.2569 c. 105: 6 18 19 15 9 20 18 SP SD: 1.7469 c. M: 3.2320 c. 117: 7 20 21 17 10 22 20 SP SD: 1.3014 c. M:-2.7627 c. 134: 8 23 24 19 12 25 23 SP SD: 1.6236 c. M:-2.6096 c. 139: 8 24 25 20 12 26 24 SP SD: 1.1163 c. M: 2.8609 c. 151: 9 26 27 22 13 28 26 SP SD: 1.9251 c. M:-2.5705 c. 153: 9 26 28 22 13 29 26 SP SD: 1.2565 c. M:-1.7138 c. 170: 10 29 31 24 15 32 29 SP SD: 1.1012 c. M:-1.7138 c. 175: 10 30 32 25 15 33 30 SP SD: 1.0758 c. M: 1.8284 c. 195: 11 34 35 28 17 37 33 SP SD: 0.7793 c. M: 1.3399 c. 265: 15 46 48 38 23 50 45 SP SD: 0.7709 c. M:-1.1810 c. 278: 16 48 50 40 24 53 47 SP SD: 0.6160 c. M:-1.4556 c. 292: 17 50 53 42 25 55 50 SP SD: 0.7523 c. M: 1.1461 c. 300: 17 52 54 43 26 57 51 SP SD: 0.6769 c. M: 1.0322 c. 312: 18 54 56 45 27 59 53 SP SD: 0.4116 c. M:-0.8090 c. 334: 19 58 60 48 29 63 57 SP SD: 0.4177 c. M: 0.7687 c. 404: 23 70 73 58 35 76 69 SP SD: 0.4804 c. M: 0.7154 c. 417: 24 72 75 60 36 79 71 SP SD: 0.2772 c. M: 0.6010 c. 487: 28 84 88 70 42 92 83 SP SD: 0.2231 c. M:-0.4092 c. 682: 39 118 123 98 59 129 116 SP SD: 0.2152 c. M: 0.4105 c. 751: 43 130 135 108 65 142 128 SP SD: 0.2723 c. M: 0.3711 c. 765: 44 132 138 110 66 145 130 SP SD: 0.2097 c. M:-0.4118 c. 787: 45 136 142 113 68 149 134 SP SD: 0.2513 c. M: 0.4584 c. 799: 46 138 144 115 69 151 136 SP SD: 0.1820 c. M:-0.3525 c. 821: 47 142 148 118 71 155 140 SP SD: 0.1948 c. M: 0.3355 c. 904: 52 156 163 130 78 171 154 SP SD: 0.1461 c. M: 0.3623 c. 1021: 59 176 184 147 88 193 174 SP SD: 0.2011 c. M:-0.3116 c. 1092: 63 188 197 157 95 206 186 SP SD: 0.1845 c. M: 0.2899 c. 1099: 63 190 198 158 95 208 187 SP SD: 0.1524 c. M: 0.2475 c. 1216: 70 210 219 175 105 230 207 SP SD: 0.1247 c. M:-0.2017 c. 1409: 81 243 254 203 122 266 240 SP SD: 0.1187 c. M: 0.1737 c. 1509: 87 260 272 217 131 285 257 SP SD: 0.1244 c. M: 0.1698 c. 1581: 91 273 285 227 137 299 269 SP SD: 0.1219 c. M:-0.1957 c. 1604: 92 277 289 231 139 303 273 SP SD: 0.1198 c. M: 0.2043 c. 1687: 97 291 304 243 146 319 287 SP SD: 0.1132 c. M:-0.1840 c. 1704: 98 294 307 245 148 322 290 SP SD: 0.1061 c. M: 0.1904 c. 1720: 99 297 310 247 149 325 293 SP SD: 0.1074 c. M:-0.1650 c. 1738: 100 300 313 250 151 328 296 SP SD: 0.1004 c. M:-0.2136 c. 1774: 102 306 320 255 154 335 302 SP SD: 0.0846 c. M:-0.1630 c. 1821: 105 314 328 262 158 344 310 SP SD: 0.0936 c. M:-0.1605 c. 1826: 105 315 329 263 158 345 311 SP SD: 0.0888 c. M: 0.1805 c. 1913: 110 330 345 275 166 361 326 SP SD: 0.0876 c. M: 0.1622 c. 1916: 110 331 345 276 166 362 326 SP SD: 0.1292 c. M:-0.1580 c. 1926: 111 332 347 277 167 364 328 SP SD: 0.1235 c. M: 0.1921 c. 1943: 112 335 350 280 168 367 331 SP SD: 0.1156 c. M:-0.1778 c. 1960: 113 338 353 282 170 370 334 SP SD: 0.1072 c. M: 0.1590 c. 1996: 115 344 360 287 173 377 340 SP SD: 0.0812 c. M: 0.1622 c. 2055: 118 355 370 296 178 388 350 SP SD: 0.1030 c. M: 0.1411 c. 2086: 120 360 376 300 181 394 355 SP SD: 0.0822 c. M:-0.1812 c. 2108: 121 364 380 303 183 398 359 SP SD: 0.0818 c. M: 0.1518 c. 2138: 123 369 385 308 185 404 364 SP SD: 0.0817 c. M: 0.1682 c. 2155: 124 372 388 310 187 407 367 SP SD: 0.0808 c. M: 0.1533 c. 2191: 126 378 395 315 190 414 373 SP SD: 0.0464 c. M: 0.0773 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: 18.4879 cents 3 x x 4 x x 5:6 S SD: 37.1503 cents 4 x x 5:6 x 7:8 S SD: 28.8777 cents 5 x 6 x 7:8:9:10 S SD: 20.8286 cents 6 x 7:8:9 x 11:12 SD: 13.2178 cents 7 x 8:9:10:11:12:14 S SD: 17.9931 cents 8 x 9:11:12 x 14:16 SD: 20.7576 cents 9 x 11:12:13:14:16:18 SD: 12.8403 cents 12:13:14:16:18:19:21:24 SD: 12.5754 cents 13:14:15:17:19:20:23:26 SD: 10.8451 cents 15:16:18:20:22:23:27:30 SD: 9.8350 cents 16:17:19:21:23:25:28:32 SD: 9.3647 cents 17:18:20:23:25:27:30:34 SD: 7.9026 cents 18:19:21:24:26:28:32:36 SD: 5.6094 cents 21:22:25:28:31:33:37:42 SD: 5.1981 cents 22:23:26:29:32:34:39:44 SD: 4.4138 cents 23:24:27:31:34:36:41:46 SD: 4.1032 cents 27:28:32:36:40:42:48:54 S SD: 3.6398 cents 28:29:33:37:41:44:50:56 SD: 3.2195 cents 30:31:35:40:44:47:53:60 SD: 3.0270 cents 40:42:47:53:59:62:71:80 SD: 3.0194 cents 45:47:53:60:66:70:80:90 SD: 1.7048 cents 64:67:75:85:94:100:114:128 SD: 1.6751 cents 68:71:80:90:100:106:121:136 SD: 1.5810 cents 70:73:82:93:103:109:124:140 SD: 1.1968 cents 75:78:88:100:110:117:133:150 SD: 1.0432 cents 98:102:115:130:144:153:174:196 SD: 0.6551 cents 122:127:143:162:179:190:217:244 SD: 0.4765 cents 179:186:210:238:263:279:318:358 SD: 0.4502 cents 197:205:231:262:289:307:350:394 SD: 0.3314 cents 220:229:258:292:323:343:391:440 SD: 0.3289 cents 243:253:285:323:357:379:432:486 SD: 0.2095 cents 295:307:346:392:433:460:524:590 SD: 0.1767 cents 365:380:428:485:536:569:649:730 SD: 0.1713 cents 440:458:516:585:646:686:782:880 SD: 0.1251 cents 538:560:631:715:790:839:956:1076 SD: 0.0902 cents