Scala analysis: CD13_17_Turkey
Peçrev - Mesut Cemil Bey (kurdili hicazkar, Turkey)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 87.365 cents 87.365166 2: 297.888 cents 297.887917 3: 501.806 cents 501.806306 4: 598.649 cents 598.648691 5: 786.231 cents 786.231274 6: 995.545 cents 995.544602 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 204.4554 cents 204.4554 1: 87.3652 cents 87.3652 2: 210.5228 cents 210.5228 3: 203.9184 cents 203.9184 4: 96.8424 cents 96.8424 5: 187.5826 cents 187.5826 6: 209.3133 cents 209.3133 7: 204.4554 cents 204.4554
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 87.36517 cents 1: 1 96.84238 cents 1: 1 187.58258 cents 1: 1 203.91839 cents 1: 1 204.45540 cents 1: 1 209.31333 cents 1: 1 210.52275 cents 2: 1 284.42497 cents 2: 1 291.82056 cents 2: 1 297.88792 cents 2: 1 300.76077 cents 2: 1 396.89591 cents 2: 1 413.76873 cents 2: 1 414.44114 cents 3: 1 488.34336 cents 3: 1 493.73830 cents 3: 1 501.13389 cents 3: 1 501.80631 cents 3: 1 502.34331 cents 3: 1 511.28353 cents 3: 1 601.35131 cents 4: 1 598.64869 cents 4: 1 688.71647 cents 4: 1 697.65669 cents 4: 1 698.19369 cents 4: 1 698.86611 cents 4: 1 706.26170 cents 4: 1 711.65664 cents 5: 1 785.55886 cents 5: 1 786.23127 cents 5: 1 803.10409 cents 5: 1 899.23923 cents 5: 1 902.11208 cents 5: 1 908.17944 cents 5: 1 915.57503 cents 6: 1 989.47725 cents 6: 1 990.68667 cents 6: 1 995.54460 cents 6: 1 996.08161 cents 6: 1 1012.41742 cents 6: 1 1103.15761 cents 6: 1 1112.63483 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 : 87.4 297.9 501.8 598.6 786.2 995.5 1200.0 87.4 : 210.5 414.4 511.3 698.9 908.2 1112.6 1200.0 297.9 : 203.9 300.8 488.3 697.7 902.1 989.5 1200.0 501.8 : 96.8 284.4 493.7 698.2 785.6 996.1 1200.0 598.6 : 187.6 396.9 601.4 688.7 899.2 1103.2 1200.0 786.2 : 209.3 413.8 501.1 711.7 915.6 1012.4 1200.0 995.5 : 204.5 291.8 502.3 706.3 803.1 990.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 87.3652 .. 210.5228 cents 123.15758 cents 87.36517 cents 2: 284.4250 .. 414.4411 cents 130.01617 cents 73.90222 cents 3: 488.3434 .. 601.3513 cents 113.00795 cents 73.90222 cents 4: 598.6487 .. 711.6566 cents 113.00795 cents -2.70262 cents 5: 785.5589 .. 915.5750 cents 130.01617 cents 73.90222 cents 6: 989.4772 .. 1112.6348 cents 123.15758 cents 73.90222 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 87.36517 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 210.52275 cents Average / Smallest step : 1.962207 Largest / Average step : 1.228049 Largest / Smallest step : 2.409688 Median interval of one step : 203.91839 cents, amount: 1 Least squares average step : 163.48270 cents, oct.: 1144.37893 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : AGDBCFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.70262 cents Scale diversity : 1.429426 Lumma stability : 0.391949 Lumma impropriety factor : 0.002252 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 : 0.53701 cents Number of recognisable fifths : 6, average 700.2252 cents Number of appreciable fifths : 5, average 702.5270 cents 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 129.3438 cents: 4 -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 110.3665 c. M: 158.9492 c. 8: 1 1 1 1 1 2 1 P M ME S SD: 39.4451 c. M:-62.6348 c. 11: 1 2 2 0 2 2 2 N T3 SD: 31.0971 c. M: 53.1941 c. 12: 1 2 2 1 2 2 2 P M ME S SD: 7.3545 c. M:-13.7687 c. G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, G.M.Hyperaeolian, Rut biscale descending, Pien chih: China, Makam Lami, Yishtabach: Jewish 40: 3 7 7 3 6 7 7 P SD: 4.6281 c. M:-8.1937 c. 52: 4 9 9 4 8 9 9 P SD: 3.3477 c. M:-5.8860 c. 64: 5 11 11 5 10 11 11 P SD: 3.1989 c. M:-6.3848 c. 72: 5 13 12 6 11 13 12 P SD: 2.7788 c. M:-4.4554 c. 84: 6 15 14 7 13 15 14 P SD: 2.1512 c. M:-4.4554 c. 96: 7 17 16 8 15 17 16 P SD: 2.1054 c. M:-4.4554 c. 98: 7 17 17 8 15 17 17 P SD: 2.4196 c. M: 4.0104 c. 108: 8 19 18 9 17 19 18 P SD: 2.3539 c. M:-4.4554 c. 110: 8 19 19 9 17 19 19 P SD: 1.7545 c. M: 3.3425 c. 122: 9 21 21 10 19 21 21 P SD: 1.5080 c. M: 2.8059 c. 124: 9 22 21 10 19 22 21 P SD: 1.4860 c. M: 2.3603 c. 136: 10 24 23 11 21 24 23 P SD: 1.2819 c. M:-2.1121 c. 148: 11 26 25 12 23 26 25 P SD: 1.3915 c. M:-2.1121 c. 153: 11 27 26 12 24 27 26 N SD: 1.2986 c. M: 2.5703 c. 165: 12 29 28 13 26 29 28 N SD: 0.9703 c. M: 2.2851 c. 177: 13 31 30 14 28 31 30 N SD: 0.9346 c. M: 2.0385 c. 182: 13 32 31 15 28 32 31 P SD: 1.1383 c. M: 1.6509 c. 189: 14 33 32 15 30 33 32 N SD: 1.1184 c. M: 1.8233 c. 194: 14 34 33 16 30 34 33 P SD: 0.8044 c. M:-1.3513 c. 206: 15 36 35 17 32 36 35 P SD: 0.7095 c. M:-1.3513 c. 246: 18 43 42 20 38 43 42 P SD: 0.7025 c. M:-1.3513 c. 258: 19 45 44 21 40 45 44 P SD: 0.6790 c. M:-1.3513 c. 275: 20 48 47 22 43 48 47 N SD: 0.6604 c. M: 1.1606 c. 287: 21 50 49 23 45 50 49 N SD: 0.5344 c. M: 1.0238 c. 299: 22 52 51 24 47 52 51 N SD: 0.5759 c. M:-0.9291 c. 359: 26 63 61 29 56 63 61 N SD: 0.4566 c. M: 0.7160 c. 371: 27 65 63 30 58 65 63 N SD: 0.3599 c. M:-0.6818 c. 423: 31 74 72 34 66 74 72 N SD: 0.3059 c. M:-0.5781 c. 565: 41 99 96 46 88 99 96 N SD: 0.4225 c. M: 0.5674 c. 577: 42 101 98 47 90 101 98 N SD: 0.3980 c. M:-0.6426 c. 588: 43 103 100 47 92 103 100 N SD: 0.3954 c. M: 0.6895 c. 603: 44 106 102 49 94 105 103 N SD: 0.3673 c. M:-0.6195 c. 605: 44 106 103 49 94 106 103 N SD: 0.3588 c. M: 0.7767 c. 617: 45 108 105 50 96 108 105 N SD: 0.2859 c. M: 0.4938 c. 629: 46 110 107 51 98 110 107 N SD: 0.2785 c. M:-0.3974 c. 717: 52 126 122 58 112 125 122 N SD: 0.3111 c. M:-0.5145 c. 729: 53 128 124 59 114 127 124 N SD: 0.3456 c. M:-0.6000 c. 734: 53 129 125 59 115 128 125 N SD: 0.3273 c. M: 0.7167 c. 746: 54 131 127 60 117 130 127 N SD: 0.2862 c. M: 0.5019 c. 768: 56 135 130 62 120 134 131 N SD: 0.2840 c. M:-0.5496 c. 782: 57 137 133 63 122 137 133 N SD: 0.2722 c. M: 0.5535 c. 786: 57 138 134 63 123 137 134 N SD: 0.2478 c. M:-0.4838 c. 798: 58 140 136 64 125 139 136 N SD: 0.2157 c. M:-0.4493 c. 882: 64 155 150 71 138 154 150 N SD: 0.2107 c. M:-0.3738 c. 894: 65 157 152 72 140 156 152 N SD: 0.2298 c. M:-0.4286 c. 934: 68 164 159 75 146 163 159 N SD: 0.2312 c. M:-0.5492 c. 946: 69 166 161 76 148 165 161 N SD: 0.2548 c. M:-0.5193 c. 962: 70 169 163 78 150 168 164 N SD: 0.2217 c. M: 0.3685 c. 974: 71 171 165 79 152 170 166 N SD: 0.1977 c. M: 0.3689 c. 992: 72 174 169 80 155 173 169 N SD: 0.1830 c. M: 0.3073 c. 1004: 73 176 171 81 157 175 171 N SD: 0.1709 c. M: 0.2784 c. 1140: 83 200 194 92 178 199 194 N SD: 0.1874 c. M:-0.2990 c. 1143: 83 201 194 92 179 199 195 N SD: 0.1944 c. M:-0.2748 c. 1152: 84 202 196 93 180 201 196 N SD: 0.2160 c. M:-0.3096 c. 1155: 84 203 196 93 181 201 197 N SD: 0.1909 c. M:-0.2939 c. 1157: 84 203 197 93 181 202 197 N SD: 0.1710 c. M: 0.2433 c. 1169: 85 205 199 94 183 204 199 N SD: 0.1470 c. M: 0.1976 c. 1337: 97 235 227 108 209 233 228 N SD: 0.1424 c. M: 0.3046 c. 1349: 98 237 229 109 211 235 230 N SD: 0.1166 c. M: 0.1895 c. 1595: 116 280 271 129 249 278 272 N SD: 0.1163 c. M:-0.2228 c. 1607: 117 282 273 130 251 280 274 N SD: 0.1105 c. M:-0.2312 c. 1624: 118 285 276 131 254 283 277 N SD: 0.1280 c. M: 0.2244 c. 1636: 119 287 278 132 256 285 279 N SD: 0.1059 c. M: 0.1901 c. 1648: 120 289 280 133 258 287 281 N SD: 0.1092 c. M:-0.1765 c. 1720: 125 302 292 139 269 300 293 N SD: 0.0942 c. M: 0.1784 c. 1760: 128 309 299 142 275 307 300 N SD: 0.0659 c. M: 0.0949 c. 1772: 129 311 301 143 277 309 302 N SD: 0.0379 c. M:-0.0805 c. 2143: 156 376 364 173 335 374 365 N SD: 0.0473 c. M: 0.0798 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x 4 S SD: 42.1381 cents 3 x x 4 x 5 x 6 S SD: 32.7332 cents 4 x 5 x x 6:7:8 S SD: 31.2605 cents 5 x 6 x 7:8:9:10 S SD: 8.5220 cents 6 x 7:8 x 9:11:12 SD: 20.9524 cents 7 x 8:9:10:11:12:14 S SD: 19.1247 cents 8 x 10 x 11:13:14:16 SD: 23.4276 cents 9:10:11:12:13:14:16:18 S SD: 16.5338 cents 10:11:12:13:14:16:18:20 S SD: 14.3630 cents 12:13:14:16:17:19:21:24 SD: 9.4957 cents 14:15:17:19:20:22:25:28 SD: 8.6320 cents 15:16:18:20:21:24:27:30 S SD: 7.0327 cents 17:18:20:23:24:27:30:34 SD: 5.0267 cents 21:22:25:28:30:33:37:42 SD: 3.6972 cents 33:35:39:44:47:52:59:66 SD: 3.4775 cents 36:38:43:48:51:57:64:72 SD: 2.2757 cents 53:56:63:71:75:83:94:106 SD: 2.0034 cents 54:57:64:72:76:85:96:108 SD: 1.5461 cents 59:62:70:79:83:93:105:118 SD: 1.3340 cents 75:79:89:100:106:118:133:150 SD: 0.9092 cents 80:84:95:107:113:126:142:160 SD: 0.5803 cents 134:141:159:179:189:211:238:268 SD: 0.5674 cents 155:163:184:207:219:244:275:310 SD: 0.4775 cents 176:185:209:235:249:277:313:352 SD: 0.4404 cents 193:203:229:258:273:304:343:386 SD: 0.3718 cents 235:247:279:314:332:370:418:470 SD: 0.2990 cents 271:285:322:362:383:427:482:542 SD: 0.2640 cents 310:326:368:414:438:488:551:620 SD: 0.2266 cents 346:364:411:462:489:545:615:692 SD: 0.2036 cents 351:369:417:469:496:553:624:702 SD: 0.1823 cents 404:425:480:540:571:636:718:808 SD: 0.1545 cents 426:448:506:569:602:671:757:852 SD: 0.1198 cents