Scala analysis: Turkey_Ney_1332
1332 (Ney), Turkey
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 187.000 cents 187.000000 2: 374.000 cents 374.000000 3: 480.000 cents 480.000000 4: 676.000 cents 676.000000 5: 863.000 cents 863.000000 6: 1028.000 cents 1028.000000 7: 1157.000 cents 1157.000000
SHOW/INTERVAL
0: 129.0000 cents 129.0000 1: 187.0000 cents 187.0000 2: 187.0000 cents 187.0000 3: 106.0000 cents 106.0000 4: 196.0000 cents 196.0000 5: 187.0000 cents 187.0000 6: 165.0000 cents 165.0000 7: 129.0000 cents 129.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 106.00000 cents 1: 1 129.00000 cents 1: 1 165.00000 cents 1: 3 187.00000 cents 1: 1 196.00000 cents 2: 1 293.00000 cents 2: 1 294.00000 cents 2: 1 302.00000 cents 2: 1 316.00000 cents 2: 1 352.00000 cents 2: 1 374.00000 cents 2: 1 383.00000 cents 3: 1 480.00000 cents 3: 2 481.00000 cents 3: 2 489.00000 cents 3: 1 503.00000 cents 3: 1 548.00000 cents 4: 1 609.00000 cents 4: 1 654.00000 cents 4: 2 668.00000 cents 4: 2 676.00000 cents 4: 1 677.00000 cents 5: 1 774.00000 cents 5: 1 783.00000 cents 5: 1 805.00000 cents 5: 1 841.00000 cents 5: 1 855.00000 cents 5: 1 863.00000 cents 5: 1 864.00000 cents 6: 1 961.00000 cents 6: 3 970.00000 cents 6: 1 992.00000 cents 6: 1 1028.00000 cents 6: 1 1051.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 5.66667 = 17/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 187.0 374.0 480.0 676.0 863.0 1028.0 1157.0 187.0 : 187.0 293.0 489.0 676.0 841.0 970.0 1157.0 374.0 : 106.0 302.0 489.0 654.0 783.0 970.0 1157.0 480.0 : 196.0 383.0 548.0 677.0 864.0 1051.0 1157.0 676.0 : 187.0 352.0 481.0 668.0 855.0 961.0 1157.0 863.0 : 165.0 294.0 481.0 668.0 774.0 970.0 1157.0 1028.0: 129.0 316.0 503.0 609.0 805.0 992.0 1157.0 1157.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 106.0000 .. 196.0000 cents 90.00000 cents 106.00000 cents 2: 293.0000 .. 383.0000 cents 90.00000 cents 97.00000 cents 3: 480.0000 .. 548.0000 cents 68.00000 cents 97.00000 cents 4: 609.0000 .. 677.0000 cents 68.00000 cents 61.00000 cents 5: 774.0000 .. 864.0000 cents 90.00000 cents 97.00000 cents 6: 961.0000 .. 1051.0000 cents 90.00000 cents 97.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 106.00000 cents, class 1 Average step (divided formal octave): 165.2857 cents Largest one step interval : 196.00000 cents Average / Smallest step : 1.559299 Largest / Average step : 1.185825 Largest / Smallest step : 1.849057 Median interval of one step : 187.00000 cents, amount: 3 Most common interval of one step : 187.00000 cents, amount: 3 Least squares average step : 169.00714 cents, oct.: 1183.05000 cents Scale is strictly proper Scale is a mode of a 1157-tone equal temperament with octave 1157.000 cents degrees: 187 374 480 676 863 1028 1157 Least number of segments generator : 579 of 579.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 864 of 864.000 cents and inv. generated superset size: 255 = 248 more = 3642.857% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABCADE Step pattern size order : DDAEDCB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 61.00000 cents Scale diversity : 1.513877 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.571305 Rothenberg efficiency : 0.341497 redundancy: 0.658503 Efficiency x scale size : 2.390476 Number of different interval sizes : 34 = 5.66667 / class Number of one step interval sizes : 5 Highest interval variety : 7 Mean interval variety : 5.66667 = 17/3 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 1.00000 cents Most common intervals : 187.00000 cents & inv., amount: 3 Number of recognisable fifths : 0 Number of recognisable fourths : 5, average 488.6000 cents Number of appreciable fourths : 3, average 493.6667 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% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 89.0000 cents: 2 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 27.9894 c. M: 43.4286 c. Lebeng 12: 2 2 1 2 2 2 1 P M ME S SD: 13.4158 c. M:-32.5833 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: 19.4122 c. M:-29.9375 c. Antiphrygian 17: 3 2 2 3 3 2 2 SP D3 S SD: 16.8583 c. M: 33.7059 c. Pseudo Rast 19: 3 3 2 3 3 3 2 SP M ME S SD: 7.0099 c. M: 10.4737 c. Nineteen-tone Major, Ionian 36: 6 6 3 6 6 5 4 SP SD: 5.3240 c. M:-11.6667 c. 43: 7 7 4 7 7 6 5 SP SD: 3.2384 c. M: 5.5349 c. 55: 9 9 5 9 9 8 6 SP SD: 2.8746 c. M:-4.6545 c. 80: 13 13 7 14 13 11 9 SP SD: 2.6860 c. M:-4.7500 c. 87: 14 14 8 15 14 12 10 SP SD: 1.9941 c. M: 3.9885 c. 99: 16 16 9 17 16 14 11 SP SD: 1.0436 c. M:-1.8384 c. 118: 19 19 11 20 19 17 13 SP SD: 0.8746 c. M:-1.5339 c. 142: 23 23 13 24 23 20 16 SP SD: 0.7300 c. M: 1.3662 c. 161: 26 26 15 27 26 23 18 SP SD: 0.6648 c. M:-1.4845 c. 217: 35 35 20 37 35 31 24 SP SD: 0.7273 c. M:-1.1382 c. 241: 39 39 22 41 39 34 27 SP SD: 0.6354 c. M:-1.1494 c. 260: 42 42 24 44 42 37 29 SP SD: 0.3076 c. M:-0.6000 c. 378: 61 61 35 64 61 54 42 SP SD: 0.4043 c. M: 0.5767 c. 402: 65 65 37 68 65 57 45 SP SD: 0.3824 c. M:-0.6443 c. 414: 67 67 38 70 67 59 46 SP SD: 0.4433 c. M:-0.6860 c. 421: 68 68 39 71 68 60 47 SP SD: 0.3758 c. M:-0.9382 c. 594: 96 96 54 101 96 85 66 SP SD: 0.3639 c. M: 0.8384 c. 618: 100 100 56 105 100 88 69 SP SD: 0.3421 c. M: 0.7249 c. 637: 103 103 58 108 103 91 71 SP SD: 0.2511 c. M: 0.4898 c. 736: 119 119 67 125 119 105 82 SP SD: 0.2150 c. M: 0.5367 c. 743: 120 120 68 126 120 106 83 SP SD: 0.2470 c. M: 0.3822 c. 755: 122 122 69 128 122 108 84 SP SD: 0.2036 c. M: 0.3430 c. 779: 126 126 71 132 126 111 87 SP SD: 0.1962 c. M:-0.2798 c. 798: 129 129 73 135 129 114 89 SP SD: 0.1888 c. M: 0.3584 c. 878: 142 142 80 149 142 125 98 SP SD: 0.1795 c. M: 0.3326 c. 897: 145 145 82 152 145 128 100 SP SD: 0.0892 c. M: 0.1739 c. 1058: 171 171 97 179 171 151 118 SP SD: 0.0976 c. M: 0.1720 c. 1157: 187 187 106 196 187 165 129 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 43.0000 cents 2 x x x 3 x x 4 S SD: 25.1131 cents 3 x x 4 x 5 x 6 S SD: 17.0972 cents 4 x 5 x 6 x 7:8 S SD: 19.6467 cents 5 x 6 x 7:8:9:10 S SD: 25.7175 cents 6:7 x 8:9:10:11:12 S SD: 16.7831 cents 7:8 x 9:10:12:13:14 S SD: 21.1275 cents 8:9:10:11:12:13:14:16 S SD: 15.6838 cents 9:10:11:12:13:15:16:18 SD: 10.9993 cents 12:13:15:16:18:20:22:23 SD: 10.4491 cents 15:17:19:20:22:25:27:29 SD: 8.3635 cents 16:18:20:21:24:26:29:31 SD: 6.1393 cents 17:19:21:22:25:28:31:33 SD: 5.5707 cents 25:28:31:33:37:41:45:49 SD: 2.5180 cents 37:41:46:49:55:61:67:72 SD: 2.3320 cents 46:51:57:61:68:76:83:90 SD: 2.2796 cents 53:59:66:70:78:87:96:103 SD: 1.7894 cents 54:60:67:71:80:89:98:105 SD: 1.6349 cents 59:66:73:78:87:97:107:115 SD: 1.5518 cents 62:69:77:82:92:102:112:121 SD: 1.3736 cents 63:70:78:83:93:104:114:123 SD: 1.2430 cents 79:88:98:104:117:130:143:154 SD: 0.8454 cents 107:119:133:141:158:176:194:209 SD: 0.8235 cents 121:135:150:160:179:199:219:236 SD: 0.8061 cents 132:147:164:174:195:217:239:258 SD: 0.6853 cents 138:154:171:182:204:227:250:269 SD: 0.6725 cents 141:157:175:186:208:232:255:275 SD: 0.5665 cents 166:185:206:219:245:273:301:324 SD: 0.5298 cents 178:198:221:235:263:293:322:347 SD: 0.5206 cents 184:205:228:243:272:303:333:359 SD: 0.4938 cents 203:226:252:268:300:334:368:396 SD: 0.3731 cents 228:254:283:301:337:375:413:445 SD: 0.2952 cents 291:324:361:384:430:479:527:568 SD: 0.2270 cents 360:401:447:475:532:593:652:702 SD: 0.2246 cents 385:429:478:508:569:634:697:751 SD: 0.1498 cents 551:614:684:727:814:907:998:1075 SD: 0.1159 cents 588:655:730:776:869:968:1065:1147 SD: 0.1113 cents