Scala analysis: CD11_16_Iraq
Comment un passionné peut-il triompher de ta froideur ? - Ensemble de Muhammad Al-Qubbbânjî (mansuri, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 152.572 cents 152.572194 2: 347.264 cents 347.264064 3: 545.736 cents 545.735932 4: 693.025 cents 693.024720 5: 841.106 cents 841.105528 6: 1046.325 cents 1046.325346 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 153.6747 cents 153.6747 1: 152.5722 cents 152.5722 2: 194.6919 cents 194.6919 3: 198.4719 cents 198.4719 4: 147.2888 cents 147.2888 5: 148.0808 cents 148.0808 6: 205.2198 cents 205.2198 7: 153.6747 cents 153.6747
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 147.28879 cents 1: 1 148.08081 cents 1: 1 152.57219 cents 1: 1 153.67465 cents 1: 1 194.69187 cents 1: 1 198.47187 cents 1: 1 205.21982 cents 2: 1 295.36960 cents 2: 1 306.24685 cents 2: 1 345.76066 cents 2: 1 347.26406 cents 2: 1 353.30063 cents 2: 1 358.89447 cents 2: 1 393.16374 cents 3: 1 493.84146 cents 3: 1 500.58941 cents 3: 1 500.93872 cents 3: 1 506.97528 cents 3: 1 511.46667 cents 3: 1 540.45253 cents 3: 1 545.73593 cents 4: 1 654.26407 cents 4: 1 659.54747 cents 4: 1 688.53333 cents 4: 1 693.02472 cents 4: 1 699.06128 cents 4: 1 699.41059 cents 4: 1 706.15854 cents 5: 1 806.83626 cents 5: 1 841.10553 cents 5: 1 846.69937 cents 5: 1 852.73594 cents 5: 1 854.23934 cents 5: 1 893.75315 cents 5: 1 904.63040 cents 6: 1 994.78018 cents 6: 1 1001.52813 cents 6: 1 1005.30813 cents 6: 1 1046.32535 cents 6: 1 1047.42781 cents 6: 1 1051.91919 cents 6: 1 1052.71121 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 : 152.6 347.3 545.7 693.0 841.1 1046.3 1200.0 152.6 : 194.7 393.2 540.5 688.5 893.8 1047.4 1200.0 347.3 : 198.5 345.8 493.8 699.1 852.7 1005.3 1200.0 545.7 : 147.3 295.4 500.6 654.3 806.8 1001.5 1200.0 693.0 : 148.1 353.3 507.0 659.5 854.2 1052.7 1200.0 841.1 : 205.2 358.9 511.5 706.2 904.6 1051.9 1200.0 1046.3: 153.7 306.2 500.9 699.4 846.7 994.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 147.2888 .. 205.2198 cents 57.93103 cents 147.28879 cents 2: 295.3696 .. 393.1637 cents 97.79414 cents 90.14978 cents 3: 493.8415 .. 545.7359 cents 51.89447 cents 100.67773 cents 4: 654.2641 .. 706.1585 cents 51.89447 cents 108.52814 cents 5: 806.8363 .. 904.6304 cents 97.79414 cents 100.67773 cents 6: 994.7802 .. 1052.7112 cents 57.93103 cents 90.14978 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 147.28879 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 205.21982 cents Average / Smallest step : 1.163894 Largest / Average step : 1.197116 Largest / Smallest step : 1.393316 Median interval of one step : 153.67465 cents, amount: 1 Least squares average step : 172.42776 cents, oct.: 1206.99434 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CEFABGD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 90.14978 cents Scale diversity : 1.355446 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.653967 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 : 0.34930 cents Number of recognisable fifths : 5, average 697.2377 cents Number of appreciable fifths : 4, average 699.4138 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 63.5249 cents: 4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 16.8605 c. M: 31.4502 c. Lebeng 16: 2 3 2 2 2 3 2 SP M ME I SD: 16.0520 c. M:-27.7359 c. Armodue-7, Antidorian 17: 2 3 3 2 2 3 2 SP D3 S SD: 11.2053 c. M:-18.9700 c. 24: 3 4 4 3 3 4 3 SP D3 S SD: 4.9793 c. M:-8.8945 c. Maqam Sikah (Segah), Neutral Diatonic Hypolydian 31: 4 5 5 4 4 5 4 SP D3 S SD: 4.5773 c. M:-10.5074 c. Neutral Diatonic Hypolydian 49: 6 8 8 6 6 9 6 SP S SD: 6.2090 c. M: 8.4525 c. 53: 7 8 9 7 6 9 7 SP SD: 5.5029 c. M:-8.8621 c. 54: 7 9 9 6 7 9 7 SP SD: 5.4230 c. M:-9.8196 c. 55: 7 9 9 7 7 9 7 SP D3 S SD: 4.2602 c. M:-9.8036 c. 61: 8 10 10 7 8 10 8 SP SD: 4.6691 c. M:-6.8343 c. 62: 8 10 10 8 7 11 8 SP SD: 4.0450 c. M: 8.8475 c. 64: 8 11 10 8 8 11 8 SP SD: 4.0059 c. M:-8.9859 c. 68: 9 11 11 8 9 11 9 SP SD: 4.7502 c. M:-6.2513 c. 69: 9 11 11 9 8 12 9 SP SD: 4.0450 c. M: 6.6055 c. 70: 9 11 12 8 9 12 9 SP SD: 3.4936 c. M: 7.3104 c. 79: 10 13 13 10 9 14 10 SP SD: 3.2492 c. M:-5.7095 c. 80: 10 13 13 10 10 14 10 SP S SD: 3.1286 c. M: 5.7359 c. 86: 11 14 14 11 10 15 11 SP SD: 2.4655 c. M:-4.6497 c. 93: 12 15 15 12 11 16 12 SP SD: 2.4494 c. M: 3.8004 c. 94: 12 15 16 11 12 16 12 SP SD: 2.1727 c. M: 3.6630 c. 101: 13 16 17 12 13 17 13 SP SD: 2.1881 c. M: 3.9158 c. 110: 14 18 18 14 13 19 14 SP SD: 2.1433 c. M:-5.1571 c. 117: 15 19 19 15 14 20 15 SP SD: 1.9942 c. M:-4.4112 c. 118: 15 19 20 14 15 20 15 SP SD: 1.9359 c. M:-3.4166 c. 125: 16 20 21 15 16 21 16 SP SD: 1.8108 c. M:-3.6945 c. 127: 16 21 21 15 16 22 16 SP SD: 2.0552 c. M: 3.2609 c. 134: 17 22 22 16 17 23 17 SP SD: 1.6451 c. M: 3.4725 c. 149: 19 24 25 18 18 26 19 SP SD: 1.5936 c. M: 3.5216 c. 151: 19 25 25 18 19 26 19 SP SD: 1.9484 c. M:-2.6813 c. 156: 20 25 26 19 19 27 20 SP SD: 1.2285 c. M: 2.6440 c. 158: 20 26 26 19 20 27 20 SP SD: 1.5366 c. M:-2.1030 c. 163: 21 26 27 20 20 28 21 SP SD: 1.3005 c. M:-2.0290 c. 173: 22 28 29 21 21 30 22 SP SD: 1.1946 c. M:-2.2409 c. 180: 23 29 30 22 22 31 23 SP SD: 0.6800 c. M: 1.1055 c. 187: 24 30 31 23 23 32 24 SP SD: 0.6573 c. M:-1.4385 c. 204: 26 33 34 25 25 35 26 SP SD: 0.7237 c. M:-1.3229 c. 211: 27 34 35 26 26 36 27 SP SD: 0.5577 c. M:-0.9823 c. 345: 44 56 57 42 43 59 44 SP SD: 0.5587 c. M: 0.8508 c. 391: 50 63 65 48 48 67 50 SP SD: 0.4954 c. M:-0.8805 c. 407: 52 66 67 50 50 70 52 SP SD: 0.5156 c. M: 0.8107 c. 415: 53 67 69 51 51 71 53 SP SD: 0.5771 c. M:-0.9512 c. 424: 54 69 70 52 52 73 54 SP SD: 0.5568 c. M:-0.8491 c. 431: 55 70 71 53 53 74 55 SP SD: 0.4352 c. M:-0.7638 c. 455: 58 74 75 56 56 78 58 SP SD: 0.5150 c. M:-0.8678 c. 462: 59 75 76 57 57 79 59 SP SD: 0.5036 c. M:-0.7879 c. 471: 60 76 78 58 58 81 60 SP SD: 0.4941 c. M:-0.8084 c. 495: 63 80 82 61 61 85 63 SP SD: 0.4574 c. M:-0.9474 c. 502: 64 81 83 62 62 86 64 SP SD: 0.4970 c. M: 0.7160 c. 521: 66 85 86 64 64 89 67 SP SD: 0.4245 c. M: 0.6440 c. 525: 67 85 87 64 65 90 67 SP SD: 0.4044 c. M:-0.5707 c. 532: 68 86 88 65 66 91 68 SP SD: 0.4013 c. M:-0.8113 c. 561: 71 91 93 69 69 96 72 SP SD: 0.4545 c. M: 0.7400 c. 568: 72 92 94 70 70 97 73 SP SD: 0.4849 c. M: 0.7852 c. 585: 74 95 97 72 72 100 75 SP SD: 0.3966 c. M: 0.7773 c. 615: 78 100 102 75 76 105 79 SP SD: 0.3521 c. M:-0.6055 c. 622: 79 101 103 76 77 106 80 SP SD: 0.3182 c. M: 0.6662 c. 642: 82 104 106 79 79 110 82 SP SD: 0.3784 c. M:-0.6988 c. 646: 82 105 107 79 80 110 83 SP SD: 0.3047 c. M: 0.5049 c. 708: 90 115 117 87 87 121 91 SP SD: 0.2870 c. M: 0.5626 c. 725: 92 118 120 89 89 124 93 SP SD: 0.3378 c. M:-0.4925 c. 726: 92 118 120 89 90 124 93 SP SD: 0.2983 c. M: 0.5061 c. 732: 93 119 121 90 90 125 94 SP SD: 0.2635 c. M: 0.4237 c. 788: 100 128 130 97 97 135 101 SP SD: 0.3114 c. M: 0.5583 c. 796: 101 129 132 98 98 136 102 SP SD: 0.2910 c. M: 0.5304 c. 802: 102 130 133 98 99 137 103 SP SD: 0.2622 c. M: 0.4401 c. 805: 102 131 133 99 99 138 103 SP SD: 0.2582 c. M: 0.5225 c. 812: 103 132 134 100 100 139 104 SP SD: 0.2250 c. M: 0.4157 c. 833: 106 135 138 102 103 142 107 SP SD: 0.2232 c. M: 0.4670 c. 899: 114 146 149 110 111 154 115 SP SD: 0.2307 c. M: 0.4031 c. 906: 115 147 150 111 112 155 116 SP SD: 0.1792 c. M: 0.3095 c. 930: 118 151 154 114 115 159 119 SP SD: 0.1675 c. M: 0.3141 c. 937: 119 152 155 115 116 160 120 SP SD: 0.1768 c. M:-0.3032 c. 1016: 129 165 168 125 125 174 130 SP SD: 0.1566 c. M:-0.2824 c. 1023: 130 166 169 126 126 175 131 SP SD: 0.1433 c. M: 0.2814 c. 1093: 139 177 181 134 135 187 140 SP SD: 0.1668 c. M: 0.3290 c. 1110: 141 180 184 136 137 190 142 SP SD: 0.1459 c. M: 0.2370 c. 1117: 142 181 185 137 138 191 143 SP SD: 0.1118 c. M: 0.2632 c. 1157: 147 188 191 142 143 198 148 SP SD: 0.1476 c. M: 0.1984 c. 1203: 153 195 199 148 148 206 154 SP SD: 0.1388 c. M:-0.2421 c. 1328: 169 215 220 163 164 227 170 SP SD: 0.1358 c. M: 0.2761 c. 1337: 170 217 221 164 165 229 171 SP SD: 0.1053 c. M:-0.1967 c. 1361: 173 221 225 167 168 233 174 SP SD: 0.1118 c. M:-0.2580 c. 1368: 174 222 226 168 169 234 175 SP SD: 0.1025 c. M:-0.1659 c. 1548: 197 251 256 190 191 265 198 SP SD: 0.0890 c. M:-0.1863 c. 1849: 235 300 306 227 228 316 237 SP SD: 0.0770 c. M: 0.1382 c. 1983: 252 322 328 243 245 339 254 SP SD: 0.0807 c. M: 0.1352 c. 2069: 263 336 342 254 255 354 265 SP SD: 0.0791 c. M:-0.1501 c. 2076: 264 337 343 255 256 355 266 SP SD: 0.0723 c. M:-0.1348 c. 2170: 276 352 359 266 268 371 278 SP SD: 0.0614 c. M: 0.1215 c. 2194: 279 356 363 269 271 375 281 SP SD: 0.0634 c. M:-0.1164 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: 4.4651 cents 3 x x 4 x 5 x 6 S SD: 21.4612 cents 4 x 5 x 6 x 7:8 S SD: 21.8100 cents 5 x 6:7 x 8:9:10 S SD: 12.5374 cents 6 x 7:8:9:10:11:12 S SD: 17.2380 cents 7:8:9:10 x 11:13:14 SD: 25.3413 cents 8:9:10:11:12:13:15:16 SD: 11.0942 cents 10:11:12:14:15:16:18:20 S SD: 9.2184 cents 13:14:16:18:19:21:24:26 SD: 7.4153 cents 14:15:17:19:21:23:26:28 SD: 7.2455 cents 18:20:22:25:27:29:33:36 SD: 5.9683 cents 19:21:23:26:28:31:35:38 SD: 5.2457 cents 22:24:27:30:33:36:40:44 S SD: 3.1103 cents 32:35:39:44:48:52:59:64 SD: 2.4979 cents 35:38:43:48:52:57:64:70 SD: 2.2995 cents 41:45:50:56:61:67:75:82 SD: 2.1870 cents 45:49:55:62:67:73:82:90 SD: 1.9845 cents 53:58:65:73:79:86:97:106 SD: 1.6645 cents 54:59:66:74:81:88:99:108 SD: 1.4881 cents 67:73:82:92:100:109:123:134 SD: 1.1468 cents 86:94:105:118:128:140:157:172 SD: 1.0495 cents 89:97:109:122:133:145:163:178 SD: 1.0003 cents 99:108:121:136:148:161:181:198 SD: 0.8190 cents 108:118:132:148:161:176:198:216 SD: 0.8076 cents 118:129:144:162:176:192:216:236 SD: 0.6635 cents 130:142:159:178:194:211:238:260 SD: 0.4965 cents 184:201:225:252:275:299:337:368 SD: 0.4926 cents 195:213:238:267:291:317:357:390 SD: 0.4176 cents 216:236:264:296:322:351:395:432 SD: 0.3487 cents 229:250:280:314:342:372:419:458 SD: 0.3217 cents 248:271:303:340:370:403:454:496 SD: 0.2107 cents 270:295:330:370:403:439:494:540 SD: 0.1523 cents 500:546:611:685:746:813:915:1000 SD: 0.1395 cents 518:566:633:710:773:842:948:1036 SD: 0.1245 cents 553:604:676:758:825:899:1012:1106 SD: 0.1011 cents