Scala analysis: CD13_14_Iraq
Taqsîm mesuré, Jôza, Dumbakk - Ensemble de Muhammad Al-Qubbbânjî (nawa, rahat al-arwah, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 95.449 cents 95.449397 2: 292.943 cents 292.943063 3: 382.261 cents 382.261359 4: 514.370 cents 514.370310 5: 703.207 cents 703.207231 6: 771.391 cents 771.390934 7: 918.325 cents 918.325123 8: 1004.455 cents 1004.454938 9: 1101.460 cents 1101.459659 10: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 98.5403 cents 98.5403 1: 95.4494 cents 95.4494 2: 197.4937 cents 197.4937 3: 89.3183 cents 89.3183 4: 132.1090 cents 132.1090 5: 188.8369 cents 188.8369 6: 68.1837 cents 68.1837 7: 146.9342 cents 146.9342 8: 86.1298 cents 86.1298 9: 97.0047 cents 97.0047 10: 98.5403 cents 98.5403
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 68.18370 cents 1: 1 86.12982 cents 1: 1 89.31830 cents 1: 1 95.44940 cents 1: 1 97.00472 cents 1: 1 98.54034 cents 1: 1 132.10895 cents 1: 1 146.93419 cents 1: 1 188.83692 cents 1: 1 197.49367 cents 2: 1 183.13454 cents 2: 1 193.98974 cents 2: 1 195.54506 cents 2: 1 215.11789 cents 2: 1 221.42725 cents 2: 1 233.06400 cents 2: 1 257.02062 cents 2: 1 286.81196 cents 2: 1 292.94306 cents 2: 1 320.94587 cents 3: 1 281.67488 cents 3: 1 290.99446 cents 3: 1 301.24771 cents 3: 1 330.06872 cents 3: 1 382.26136 cents 3: 1 389.12958 cents 3: 1 391.48340 cents 3: 1 403.95481 cents 3: 1 410.26417 cents 3: 1 418.92091 cents 4: 1 377.12427 cents 4: 1 398.25243 cents 4: 1 428.60907 cents 4: 1 478.44787 cents 4: 1 480.80170 cents 4: 1 488.48812 cents 4: 1 490.08463 cents 4: 1 514.37031 cents 4: 1 536.06376 cents 4: 1 607.75783 cents 5: 1 496.79277 cents 5: 1 524.05846 cents 5: 1 574.61794 cents 5: 1 577.80642 cents 5: 1 587.08935 cents 5: 1 612.91065 cents 5: 1 622.19358 cents 5: 1 625.38206 cents 5: 1 675.94154 cents 5: 1 703.20723 cents 6: 1 592.24217 cents 6: 1 663.93624 cents 6: 1 685.62969 cents 6: 1 709.91537 cents 6: 1 711.51188 cents 6: 1 719.19830 cents 6: 1 721.55213 cents 6: 1 771.39093 cents 6: 1 801.74757 cents 6: 1 822.87573 cents 7: 1 781.07909 cents 7: 1 789.73583 cents 7: 1 796.04519 cents 7: 1 808.51660 cents 7: 1 810.87042 cents 7: 1 817.73864 cents 7: 1 869.93128 cents 7: 1 898.75229 cents 7: 1 909.00554 cents 7: 1 918.32512 cents 8: 1 879.05413 cents 8: 1 907.05694 cents 8: 1 913.18804 cents 8: 1 942.97938 cents 8: 1 966.93600 cents 8: 1 978.57275 cents 8: 1 984.88211 cents 8: 1 1004.45494 cents 8: 1 1006.01026 cents 8: 1 1016.86546 cents 9: 1 1002.50633 cents 9: 1 1011.16308 cents 9: 1 1053.06581 cents 9: 1 1067.89105 cents 9: 1 1101.45966 cents 9: 1 1102.99528 cents 9: 1 1104.55060 cents 9: 1 1110.68170 cents 9: 1 1113.87018 cents 9: 1 1131.81630 cents Highest number of different intervals for one interval class: 10 Average number of different intervals per interval class: 10.00000 = 10
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 95.4 292.9 382.3 514.4 703.2 771.4 918.3 1004.5 1101.5 1200.0 95.4 : 197.5 286.8 418.9 607.8 675.9 822.9 909.0 1006.0 1104.6 1200.0 292.9 : 89.3 221.4 410.3 478.4 625.4 711.5 808.5 907.1 1002.5 1200.0 382.3 : 132.1 320.9 389.1 536.1 622.2 719.2 817.7 913.2 1110.7 1200.0 514.4 : 188.8 257.0 404.0 490.1 587.1 685.6 781.1 978.6 1067.9 1200.0 703.2 : 68.2 215.1 301.2 398.3 496.8 592.2 789.7 879.1 1011.2 1200.0 771.4 : 146.9 233.1 330.1 428.6 524.1 721.6 810.9 943.0 1131.8 1200.0 918.3 : 86.1 183.1 281.7 377.1 574.6 663.9 796.0 984.9 1053.1 1200.0 1004.5: 97.0 195.5 291.0 488.5 577.8 709.9 898.8 966.9 1113.9 1200.0 1101.5: 98.5 194.0 391.5 480.8 612.9 801.7 869.9 1016.9 1103.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 68.1837 .. 197.4937 cents 129.30996 cents 68.18370 cents 2: 183.1345 .. 320.9459 cents 137.81134 cents -14.35913 cents 3: 281.6749 .. 418.9209 cents 137.24604 cents -39.27100 cents 4: 377.1243 .. 607.7578 cents 230.63356 cents -41.79664 cents 5: 496.7928 .. 703.2072 cents 206.41446 cents -110.96506 cents 6: 592.2422 .. 822.8757 cents 230.63356 cents -110.96506 cents 7: 781.0791 .. 918.3251 cents 137.24604 cents -41.79664 cents 8: 879.0541 .. 1016.8655 cents 137.81134 cents -39.27099 cents 9: 1002.5063 .. 1131.8163 cents 129.30996 cents -14.35913 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 68.18370 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 197.49367 cents Average / Smallest step : 1.759951 Largest / Average step : 1.645781 Largest / Smallest step : 2.896494 Median interval of one step : 97.77253 cents, amount: 0 Least squares average step : 125.73256 cents, oct.: 1257.32558 cents Scale is not proper Step pattern alph. order: ABCDEFGHIJ Step pattern size order : DJCGIAHBEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.94860 cents Scale diversity : 1.615426 Lumma stability : 0.113640 Lumma impropriety factor : 0.331057 Rothenberg efficiency : 0.200000 redundancy: 0.800000 Efficiency x scale size : 2.000000 Number of different interval sizes : 90 = 10.00000 / class Number of one step interval sizes : 10 Highest interval variety : 10 Mean interval variety : 10.00000 = 10 Median interval variety : 10 Lowest interval variety : 10 Smallest interval difference : 1.53562 cents Number of recognisable fifths : 4, average 710.9582 cents Number of appreciable fifths : 3, average 708.2115 cents Formal octave complements present : 1 = 10.0000% -- Rational properties --
FIT/MODE
10: 1 1 1 1 2 0 1 1 1 1 N T3 SD: 40.7151 c. M: 78.3251 c. 11: 1 1 1 1 2 1 1 1 1 1 P M ME SD: 44.7383 c. M: 78.0067 c. 12: 1 2 1 1 2 1 1 1 1 1 N D3 S SD: 13.3350 c. M:-28.6091 c. 22: 2 3 2 2 4 1 3 1 2 2 N SD: 13.9425 c. M: 23.4612 c. 24: 2 4 2 2 4 1 3 2 2 2 N SD: 11.9051 c. M: 21.3909 c. 25: 2 4 2 3 4 1 3 2 2 2 N SD: 7.5236 c. M:-16.7928 c. 26: 2 4 2 3 4 2 3 2 2 2 N SD: 9.7748 c. M: 16.0200 c. 34: 3 5 3 4 5 2 4 2 3 3 N SD: 9.1287 c. M: 16.2196 c. 37: 3 6 3 4 6 2 4 3 3 3 N SD: 5.7886 c. M:-10.3063 c. 48: 4 8 3 6 7 3 6 3 4 4 N SD: 5.7102 c. M:-10.6297 c. 50: 4 8 4 5 8 3 6 4 4 4 N SD: 5.0771 c. M: 10.3703 c. 53: 4 9 4 6 8 3 7 3 5 4 N SD: 5.5554 c. M:-9.9768 c. 56: 4 10 4 6 9 3 7 4 4 5 N SD: 5.1269 c. M: 9.7351 c. 60: 5 10 4 7 9 4 7 4 5 5 N SD: 4.6530 c. M:-8.6091 c. 61: 5 10 4 7 10 3 8 4 5 5 N SD: 4.2017 c. M: 8.4909 c. 65: 5 11 5 7 10 4 8 4 6 5 N SD: 4.3443 c. M: 7.5319 c. 68: 5 12 5 7 11 4 8 5 5 6 N SD: 4.8341 c. M: 7.3420 c. 70: 6 11 5 8 11 4 9 5 5 6 N SD: 4.5317 c. M:-7.4077 c. 71: 6 11 6 7 12 4 8 5 6 6 N SD: 5.8036 c. M: 7.3281 c. 72: 6 12 5 8 11 4 9 5 6 6 N SD: 3.6642 c. M:-7.0569 c. 73: 6 12 5 8 12 4 9 5 6 6 N SD: 2.8593 c. M: 4.7813 c. 98: 8 16 7 11 15 6 12 7 8 8 N SD: 2.0574 c. M: 5.2480 c. 109: 9 18 8 12 17 6 13 8 9 9 N SD: 2.8445 c. M: 4.5637 c. 110: 9 18 8 12 17 7 13 8 9 9 N SD: 2.2974 c. M: 5.0254 c. 111: 9 18 8 13 17 6 14 8 9 9 N SD: 2.4075 c. M:-4.5486 c. 112: 9 18 9 12 18 6 14 8 9 9 N SD: 2.5114 c. M:-3.9356 c. 123: 10 20 9 14 19 7 15 9 10 10 N SD: 1.3678 c. M:-2.7029 c. 159: 13 26 12 17 25 9 20 11 13 13 N SD: 1.6787 c. M:-2.6638 c. 172: 14 28 13 19 27 10 21 12 14 14 N SD: 1.7192 c. M:-3.0277 c. 173: 14 28 13 19 27 10 21 13 14 14 N SD: 1.6521 c. M: 2.7182 c. 179: 14 30 13 20 28 10 22 13 14 15 N SD: 1.2683 c. M:-2.0290 c. 196: 16 32 14 22 31 11 24 14 16 16 N SD: 1.2470 c. M: 2.6695 c. 210: 17 34 16 23 33 12 26 15 17 17 N SD: 1.0951 c. M:-1.6935 c. 229: 18 38 17 25 36 13 28 17 18 19 N SD: 0.9996 c. M:-1.6586 c. 263: 21 43 20 29 41 15 32 19 21 22 N SD: 0.9575 c. M: 1.8399 c. 277: 22 46 20 31 43 16 34 20 22 23 N SD: 0.9342 c. M:-1.6418 c. 280: 22 46 21 31 44 16 34 20 23 23 N SD: 0.9178 c. M: 1.5978 c. 282: 22 47 21 31 44 16 35 20 23 23 N SD: 0.9121 c. M: 1.8324 c. 294: 23 49 22 32 46 17 36 21 24 24 N SD: 0.8477 c. M: 1.5718 c. 302: 24 50 22 33 48 17 37 22 24 25 N SD: 0.8299 c. M: 1.7875 c. 314: 25 52 23 35 49 18 38 23 25 26 N SD: 0.8297 c. M:-1.5533 c. 317: 25 52 24 35 50 18 39 22 26 26 N SD: 0.9289 c. M:-1.5487 c. 319: 25 53 24 35 50 18 39 23 26 26 N SD: 0.7818 c. M:-1.4377 c. 324: 26 53 24 36 51 18 40 23 26 27 N SD: 0.7527 c. M: 1.4597 c. 327: 26 54 24 36 52 18 40 24 26 27 N SD: 0.7620 c. M:-1.3799 c. 336: 27 55 25 37 53 19 41 24 27 28 N SD: 0.6520 c. M: 1.4597 c. 352: 28 58 26 39 55 20 43 26 28 29 N SD: 0.7357 c. M: 1.2797 c. 355: 28 59 26 39 56 20 44 25 29 29 N SD: 0.6778 c. M:-1.1414 c. 367: 29 61 27 40 58 21 45 26 30 30 N SD: 0.6524 c. M:-1.3349 c. 376: 30 62 28 41 59 22 46 27 30 31 N SD: 0.7069 c. M: 1.0796 c. 380: 30 63 28 42 60 21 47 27 31 31 N SD: 0.6192 c. M:-1.0033 c. 389: 31 64 29 43 61 22 48 28 31 32 N SD: 0.5642 c. M:-1.2006 c. 392: 31 65 29 43 62 22 48 28 32 32 N SD: 0.5082 c. M:-0.9345 c. 401: 32 66 30 44 63 23 49 29 32 33 N SD: 0.5141 c. M:-1.0313 c. 418: 33 69 31 46 66 24 51 30 34 34 N SD: 0.5301 c. M:-0.9327 c. 464: 37 76 35 51 73 26 57 33 38 38 N SD: 0.5060 c. M: 1.0067 c. 474: 38 78 35 52 75 27 58 34 38 39 N SD: 0.5541 c. M:-0.7610 c. 476: 38 78 36 52 75 27 58 34 39 39 N SD: 0.5462 c. M: 1.0936 c. 478: 38 79 35 53 75 27 59 34 39 39 N SD: 0.4903 c. M:-0.7808 c. 490: 39 81 36 54 77 28 60 35 40 40 N SD: 0.3919 c. M:-0.9345 c. 515: 41 85 38 57 81 29 63 37 42 42 N SD: 0.3991 c. M:-0.6763 c. 602: 48 99 45 66 95 34 74 43 49 49 N SD: 0.4057 c. M:-0.8659 c. 618: 49 102 46 68 97 35 76 44 50 51 N SD: 0.3466 c. M: 0.5714 c. 644: 51 106 48 71 101 37 79 46 52 53 N SD: 0.3305 c. M: 0.7228 c. 669: 53 110 50 74 105 38 82 48 54 55 N SD: 0.2683 c. M: 0.5664 c. 681: 54 112 51 75 107 39 83 49 55 56 N SD: 0.2438 c. M: 0.4320 c. 754: 60 124 56 83 119 43 92 54 61 62 N SD: 0.2372 c. M:-0.4924 c. 947: 75 156 71 104 149 54 116 68 76 78 N SD: 0.2989 c. M:-0.4208 c. 951: 76 156 71 105 149 54 117 68 77 78 N SD: 0.2930 c. M:-0.4562 c. 954: 76 157 71 105 150 54 117 69 77 78 N SD: 0.2639 c. M:-0.5765 c. 963: 77 158 72 106 151 55 118 69 78 79 N SD: 0.2468 c. M:-0.5008 c. 964: 77 158 72 106 152 55 118 69 78 79 N SD: 0.2739 c. M: 0.4119 c. 971: 77 160 72 107 153 55 119 70 78 80 N SD: 0.2350 c. M: 0.3870 c. 1036: 82 171 77 114 163 59 127 74 84 85 N SD: 0.1865 c. M: 0.4687 c. 1136: 90 187 85 125 179 64 139 82 92 93 N SD: 0.2624 c. M: 0.3790 c. 1142: 91 188 85 126 179 65 140 82 92 94 N SD: 0.2307 c. M:-0.5159 c. 1143: 91 188 85 126 180 65 140 82 92 94 N SD: 0.1806 c. M:-0.3100 c. 1159: 92 191 86 128 182 66 142 83 94 95 N SD: 0.1489 c. M:-0.2112 c. 1355: 108 223 101 149 213 77 166 97 110 111 N SD: 0.1730 c. M:-0.3217 c. 1372: 109 226 102 151 216 78 168 98 111 113 N SD: 0.1595 c. M: 0.3733 c. 1447: 115 238 108 159 228 82 177 104 117 119 N SD: 0.1563 c. M: 0.2878 c. 1495: 119 246 111 165 235 85 183 107 121 123 N SD: 0.1418 c. M: 0.3078 c. 1560: 124 257 116 172 245 89 191 112 126 128 N SD: 0.1318 c. M:-0.2451 c. 1582: 126 260 118 174 249 90 194 113 128 130 N SD: 0.1211 c. M:-0.2589 c. 1619: 129 266 121 178 255 92 198 116 131 133 N SD: 0.1375 c. M:-0.1969 c. 1696: 135 279 126 187 267 96 208 122 137 139 N SD: 0.1365 c. M:-0.2620 c. 1705: 136 280 127 188 268 97 209 122 138 140 N SD: 0.1283 c. M:-0.2691 c. 1708: 136 281 127 188 269 97 209 123 138 140 N SD: 0.1079 c. M:-0.2289 c. 1811: 144 298 135 199 285 103 222 130 146 149 N SD: 0.1129 c. M: 0.1896 c. 1836: 146 302 137 202 289 104 225 132 148 151 N SD: 0.0953 c. M: 0.1525 c. 2097: 167 345 156 231 330 119 257 150 170 172 N SD: 0.0923 c. M: 0.1631 c. 2203: 175 363 164 242 347 125 270 158 178 181 N SD: 0.0912 c. M: 0.1624 c. 2326: 185 383 173 256 366 132 285 167 188 191 N SD: 0.0473 c. M: 0.1098 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x x x 4 S SD: 0.6261 cents 3 x x x 4 x x 5 x x 6 S SD: 12.5620 cents 4 x x 5 x 6 x x 7 x 8 S SD: 8.9702 cents 5 x 6 x 7 x 8 x 9 x 10 S SD: 16.8762 cents 6 x 7 x 8:9 x 10:11 x 12 S SD: 10.6956 cents 7 x 8:9 x x 11:12 x 13:14 SD: 14.7512 cents 8 x 9:10:11:12:13 x 14:15:16 S SD: 15.5791 cents 9:10 x 11:12 x 14:15:16:17:18 S SD: 12.6911 cents 10:11:12 x 13:15:16:17:18:19:20 SD: 11.6693 cents 11:12:13:14:15 x 17:19:20:21:22 SD: 9.4023 cents 12:13:14:15:16:18:19:20:21:23:24 SD: 8.0306 cents 13:14:15:16:18 x 20:22:23:25:26 SD: 9.9220 cents 14:15:17 x 19:21:22:24:25:26:28 SD: 6.9172 cents 15:16:18:19:20 x 23:26:27:28:30 SD: 7.4710 cents 16:17:19:20:22:24:25:27:29:30:32 SD: 4.9561 cents 20:21:24:25:27:30:31:34:36:38:40 SD: 3.3299 cents 32:34:38:40:43:48:50:54:57:60:64 SD: 2.2204 cents 37:39:44:46:50:56:58:63:66:70:74 SD: 2.0397 cents 48:51:57:60:65:72:75:82:86:91:96 SD: 1.9490 cents 50:53:59:62:67:75:78:85:89:94:100 SD: 1.8514 cents 52:55:62:65:70:78:81:88:93:98:104 SD: 1.5841 cents 60:63:71:75:81:90:94:102:107:113:120 SD: 1.5531 cents 64:68:76:80:86:96:100:109:114:121:128 SD: 1.3318 cents 66:70:78:82:89:99:103:112:118:125:132 SD: 1.1717 cents 70:74:83:87:94:105:109:119:125:132:140 SD: 0.9499 cents 93:98:110:116:125:140:145:158:166:176:186 SD: 0.8695 cents 102:108:121:127:137:153:159:173:182:193:204 SD: 0.8646 cents 104:110:123:130:140:156:162:177:186:196:208 SD: 0.8462 cents 107:113:127:133:144:161:167:182:191:202:214 SD: 0.8361 cents 109:115:129:136:147:164:170:185:195:206:218 SD: 0.7359 cents 121:128:143:151:163:182:189:206:216:229:242 SD: 0.7225 cents 125:132:148:156:168:188:195:212:223:236:250 SD: 0.6652 cents 126:133:149:157:170:189:197:214:225:238:252 SD: 0.6271 cents 130:137:154:162:175:195:203:221:232:246:260 SD: 0.5959 cents 141:149:167:176:190:212:220:240:252:266:282 SD: 0.5437 cents 142:150:168:177:191:213:222:241:254:268:284 SD: 0.5230 cents 162:171:192:202:218:243:253:275:289:306:324 SD: 0.4163 cents 173:183:205:216:233:260:270:294:309:327:346 SD: 0.3897 cents 174:184:206:217:234:261:272:296:311:329:348 SD: 0.3855 cents 210:222:249:262:283:315:328:357:375:397:420 SD: 0.3608 cents 226:239:268:282:304:339:353:384:404:427:452 SD: 0.3512 cents 234:247:277:292:315:351:365:398:418:442:468 SD: 0.3403 cents 243:257:288:303:327:365:379:413:434:459:486 SD: 0.3020 cents 266:281:315:332:358:399:415:452:475:503:532 SD: 0.2951 cents 280:296:332:349:377:420:437:476:500:529:560 SD: 0.2872 cents 283:299:335:353:381:425:442:481:506:535:566 SD: 0.2350 cents 315:333:373:393:424:473:492:535:563:595:630 SD: 0.2140 cents 353:373:418:440:475:530:551:600:631:667:706 SD: 0.1660 cents 445:470:527:555:599:668:695:756:795:841:890 SD: 0.1380 cents 477:504:565:595:642:716:745:811:852:901:954 SD: 0.0994 cents