Scala analysis: Turkey_08_913
8/913 (Ney), Turkey
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 219.000 cents 219.000000 2: 393.000 cents 393.000000 3: 558.000 cents 558.000000 4: 745.000 cents 745.000000 5: 935.000 cents 935.000000 6: 1138.000 cents 1138.000000 7: 1280.000 cents 1280.000000
SHOW/INTERVAL
0: 142.0000 cents 142.0000 1: 219.0000 cents 219.0000 2: 174.0000 cents 174.0000 3: 165.0000 cents 165.0000 4: 187.0000 cents 187.0000 5: 190.0000 cents 190.0000 6: 203.0000 cents 203.0000 7: 142.0000 cents 142.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 142.00000 cents 1: 1 165.00000 cents 1: 1 174.00000 cents 1: 1 187.00000 cents 1: 1 190.00000 cents 1: 1 203.00000 cents 1: 1 219.00000 cents 2: 1 339.00000 cents 2: 1 345.00000 cents 2: 1 352.00000 cents 2: 1 361.00000 cents 2: 1 377.00000 cents 2: 2 393.00000 cents 3: 1 526.00000 cents 3: 2 535.00000 cents 3: 1 542.00000 cents 3: 1 558.00000 cents 3: 1 564.00000 cents 3: 1 580.00000 cents 4: 1 700.00000 cents 4: 1 716.00000 cents 4: 1 722.00000 cents 4: 1 738.00000 cents 4: 2 745.00000 cents 4: 1 754.00000 cents 5: 2 887.00000 cents 5: 1 903.00000 cents 5: 1 919.00000 cents 5: 1 928.00000 cents 5: 1 935.00000 cents 5: 1 941.00000 cents 6: 1 1061.00000 cents 6: 1 1077.00000 cents 6: 1 1090.00000 cents 6: 1 1093.00000 cents 6: 1 1106.00000 cents 6: 1 1115.00000 cents 6: 1 1138.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.33333 = 19/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 219.0 393.0 558.0 745.0 935.0 1138.0 1280.0 219.0 : 174.0 339.0 526.0 716.0 919.0 1061.0 1280.0 393.0 : 165.0 352.0 542.0 745.0 887.0 1106.0 1280.0 558.0 : 187.0 377.0 580.0 722.0 941.0 1115.0 1280.0 745.0 : 190.0 393.0 535.0 754.0 928.0 1093.0 1280.0 935.0 : 203.0 345.0 564.0 738.0 903.0 1090.0 1280.0 1138.0: 142.0 361.0 535.0 700.0 887.0 1077.0 1280.0 1280.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 142.0000 .. 219.0000 cents 77.00000 cents 142.00000 cents 2: 339.0000 .. 393.0000 cents 54.00000 cents 120.00000 cents 3: 526.0000 .. 580.0000 cents 54.00000 cents 133.00000 cents 4: 700.0000 .. 754.0000 cents 54.00000 cents 120.00000 cents 5: 887.0000 .. 941.0000 cents 54.00000 cents 133.00000 cents 6: 1061.0000 .. 1138.0000 cents 77.00000 cents 120.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 142.00000 cents, class 1 Average step (divided formal octave): 182.8571 cents Largest one step interval : 219.00000 cents Average / Smallest step : 1.287726 Largest / Average step : 1.197656 Largest / Smallest step : 1.542254 Median interval of one step : 187.00000 cents, amount: 1 Least squares average step : 186.58571 cents, oct.: 1306.10000 cents Scale is strictly proper Scale is a mode of a 1280-tone equal temperament with octave 1280.000 cents degrees: 219 393 558 745 935 1138 1280 Least number of segments generator : 641 of 641.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1093 of 1093.000 cents and inv. generated superset size: 226 = 219 more = 3228.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : GCBDEFA Scale is a Constant Structure, by a margin of 120.00000 cents Scale diversity : 1.209943 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.710937 Rothenberg efficiency : 0.312925 redundancy: 0.687075 Efficiency x scale size : 2.190476 Number of different interval sizes : 38 = 6.33333 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 6.33333 = 19/3 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 3.00000 cents Number of recognisable fifths : 2, average 708.0000 cents Number of appreciable fifths : 1, average 700.0000 cents Number of recognisable fourths : 0 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% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 61.0000 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 25.1347 c. M: 40.8571 c. Lebeng 12: 2 2 1 2 2 2 1 P M ME S SD: 22.8355 c. M:-35.3333 c. G.Lydian, M.Ionian, M.Hypolydian, Major, Bilaval That, Mela Shankarabharanam, Raga Atana, Ghana Heptatonic, Peruvian Major, Matzore, Rast ascending: Greece, 4th plagal Byzantine, Ararai: Ethiopia, Makam Cargah, Ajam Ashiran, Dastgah-e Mahur, Dastgah-e Rast Panjgah, Xin: China, DS2, Heptatonia prima 16: 3 2 2 2 3 2 2 SP M ME S SD: 17.1880 c. M: 25.0000 c. Antiphrygian 19: 3 3 2 3 3 3 2 SP M ME S SD: 11.3955 c. M: 19.0526 c. Nineteen-tone Major, Ionian 26: 4 4 3 4 4 4 3 SP M ME S SD: 10.9178 c. M: 22.0769 c. Twenty-six tone Major 27: 5 3 4 4 4 4 3 SP D3 S SD: 11.8827 c. M:-18.0370 c. 29: 5 4 4 4 4 5 3 SP D3 S SD: 8.0746 c. M:-15.7931 c. 36: 6 5 5 5 5 6 4 SP D3 S SD: 6.1932 c. M:-10.8889 c. 45: 8 6 6 6 7 7 5 SP SD: 6.1199 c. M:-10.8889 c. 46: 8 6 6 7 7 7 5 SP SD: 5.3172 c. M:-11.0870 c. 48: 8 7 6 7 7 8 5 SP SD: 4.8665 c. M:-8.6667 c. 52: 9 7 7 7 8 8 6 SP SD: 4.6128 c. M:-8.1538 c. 53: 9 7 7 8 8 8 6 SP SD: 4.1723 c. M:-6.8868 c. 55: 9 8 7 8 8 9 6 SP SD: 4.1535 c. M: 9.5455 c. 62: 11 8 8 9 9 10 7 SP SD: 3.9917 c. M:-8.0968 c. 64: 11 9 8 9 10 10 7 SP SD: 3.9279 c. M:-7.0000 c. 69: 12 9 9 10 10 11 8 SP SD: 4.3519 c. M: 7.4638 c. 71: 12 10 9 10 11 11 8 SP SD: 3.0739 c. M: 5.8451 c. 81: 14 11 10 12 12 13 9 SP SD: 2.5551 c. M: 4.9136 c. 82: 14 11 11 12 12 13 9 SP SD: 2.5757 c. M:-4.2683 c. 101: 17 14 13 15 15 16 11 SP SD: 2.2328 c. M: 3.5545 c. 110: 19 15 14 16 16 18 12 SP SD: 2.2044 c. M: 4.0909 c. 117: 20 16 15 17 17 19 13 SP SD: 1.9932 c. M: 5.0855 c. 134: 23 18 17 20 20 21 15 SP SD: 1.7323 c. M: 3.9701 c. 136: 23 19 17 20 20 22 15 SP SD: 2.1478 c. M: 3.2353 c. 141: 24 19 18 21 21 22 16 SP SD: 2.3044 c. M: 4.2411 c. 144: 25 19 19 21 21 23 16 SP SD: 1.8344 c. M:-3.2222 c. 146: 25 20 19 21 22 23 16 SP SD: 1.8689 c. M:-3.0959 c. 151: 26 20 20 22 22 24 17 SP SD: 1.9039 c. M: 3.0662 c. 153: 26 21 20 22 23 24 17 SP SD: 1.3528 c. M:-2.5229 c. 156: 27 21 20 23 23 25 17 SP SD: 1.5307 c. M:-2.5385 c. 163: 28 22 21 24 24 26 18 SP SD: 0.6354 c. M:-1.0123 c. 234: 40 32 30 34 35 37 26 SP SD: 0.5472 c. M: 1.0684 c. 316: 54 43 41 46 47 50 35 SP SD: 0.4914 c. M:-0.9873 c. 333: 57 45 43 49 49 53 37 SP SD: 0.6241 c. M: 0.9459 c. 378: 65 51 49 55 56 60 42 SP SD: 0.5348 c. M:-1.1058 c. 390: 67 53 50 57 58 62 43 SP SD: 0.5895 c. M:-0.8974 c. 397: 68 54 51 58 59 63 44 SP SD: 0.2048 c. M:-0.3501 c. 567: 97 77 73 83 84 90 63 SP SD: 0.2406 c. M: 0.3986 c. 713: 122 97 92 104 106 113 79 SP SD: 0.1913 c. M:-0.3170 c. 720: 123 98 93 105 107 114 80 SP SD: 0.1878 c. M: 0.3333 c. 876: 150 119 113 128 130 139 97 SP SD: 0.1704 c. M:-0.2648 c. 883: 151 120 114 129 131 140 98 SP SD: 0.0921 c. M: 0.1574 c. 1117: 191 152 144 163 166 177 124 SP SD: 0.0927 c. M: 0.1477 c. 1280: 219 174 165 187 190 203 142 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x 2 x S SD: 62.0000 cents 2 x x x 3 x 4 x S SD: 37.7388 cents 3 x x 4 x 5:6 x S SD: 33.3386 cents 4 x 5 x 6:7:8 x S SD: 20.7451 cents 5 x 6:7:8:9:10 x S SD: 29.6440 cents 6:7 x 8:9:10:12:13 S SD: 22.0973 cents 7:8:9:10:11:12:14:15 S SD: 15.8223 cents 8:9:10:11:12:14:15:17 SD: 11.4376 cents 11:12:14:15:17:19:21:23 SD: 11.3119 cents 13:15:16:18:20:22:25:27 SD: 7.5804 cents 15:17:19:21:23:26:29:31 SD: 5.9652 cents 21:24:26:29:32:36:41:44 SD: 5.2561 cents 23:26:29:32:35:39:44:48 SD: 5.2053 cents 24:27:30:33:37:41:46:50 SD: 3.5630 cents 28:32:35:39:43:48:54:59 SD: 3.3650 cents 31:35:39:43:48:53:60:65 SD: 2.8076 cents 39:44:49:54:60:67:75:82 SD: 2.1143 cents 43:49:54:59:66:74:83:90 SD: 1.9976 cents 52:59:65:72:80:89:100:109 SD: 1.6444 cents 60:68:75:83:92:103:116:126 SD: 1.5679 cents 67:76:84:92:103:115:129:140 SD: 1.5449 cents 71:81:89:98:109:122:137:149 SD: 1.5019 cents 74:84:93:102:114:127:143:155 SD: 0.7712 cents 113:128:142:156:174:194:218:237 SD: 0.7524 cents 126:143:158:174:194:216:243:264 SD: 0.4836 cents 169:192:212:233:260:290:326:354 SD: 0.4293 cents 184:209:231:254:283:316:355:385 SD: 0.4088 cents 200:227:251:276:308:343:386:419 SD: 0.4075 cents 208:236:261:287:320:357:401:436 SD: 0.3308 cents 244:277:306:337:375:419:471:511 SD: 0.3223 cents 268:304:336:370:412:460:517:561 SD: 0.3134 cents 297:337:373:410:457:510:573:622 SD: 0.3074 cents 303:344:380:418:466:520:585:635 SD: 0.2934 cents 310:352:389:428:477:532:598:649 SD: 0.2588 cents 318:361:399:439:489:546:614:666 SD: 0.2156 cents 342:388:429:472:526:587:660:716 SD: 0.1809 cents 444:504:557:613:683:762:857:930 SD: 0.1528 cents 526:597:660:726:809:903:1015:1102 SD: 0.1158 cents