Scala analysis: Turkey_Ney_1513
1513 (Ney), Turkey
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 226.000 cents 226.000000 2: 391.000 cents 391.000000 3: 558.000 cents 558.000000 4: 745.000 cents 745.000000 5: 955.000 cents 955.000000 6: 1113.000 cents 1113.000000 7: 1271.000 cents 1271.000000
SHOW/INTERVAL
0: 158.0000 cents 158.0000 1: 226.0000 cents 226.0000 2: 165.0000 cents 165.0000 3: 167.0000 cents 167.0000 4: 187.0000 cents 187.0000 5: 210.0000 cents 210.0000 6: 158.0000 cents 158.0000 7: 158.0000 cents 158.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 158.00000 cents 1: 1 165.00000 cents 1: 1 167.00000 cents 1: 1 187.00000 cents 1: 1 210.00000 cents 1: 1 226.00000 cents 2: 1 316.00000 cents 2: 1 332.00000 cents 2: 1 354.00000 cents 2: 1 368.00000 cents 2: 1 384.00000 cents 2: 1 391.00000 cents 2: 1 397.00000 cents 3: 1 519.00000 cents 3: 1 526.00000 cents 3: 1 542.00000 cents 3: 1 549.00000 cents 3: 1 555.00000 cents 3: 1 558.00000 cents 3: 1 564.00000 cents 4: 1 707.00000 cents 4: 1 713.00000 cents 4: 1 716.00000 cents 4: 1 722.00000 cents 4: 1 729.00000 cents 4: 1 745.00000 cents 4: 1 752.00000 cents 5: 1 874.00000 cents 5: 1 880.00000 cents 5: 1 887.00000 cents 5: 1 903.00000 cents 5: 1 917.00000 cents 5: 1 939.00000 cents 5: 1 955.00000 cents 6: 1 1045.00000 cents 6: 1 1061.00000 cents 6: 1 1084.00000 cents 6: 1 1104.00000 cents 6: 1 1106.00000 cents 6: 2 1113.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.66667 = 20/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 226.0 391.0 558.0 745.0 955.0 1113.0 1271.0 226.0 : 165.0 332.0 519.0 729.0 887.0 1045.0 1271.0 391.0 : 167.0 354.0 564.0 722.0 880.0 1106.0 1271.0 558.0 : 187.0 397.0 555.0 713.0 939.0 1104.0 1271.0 745.0 : 210.0 368.0 526.0 752.0 917.0 1084.0 1271.0 955.0 : 158.0 316.0 542.0 707.0 874.0 1061.0 1271.0 1113.0: 158.0 384.0 549.0 716.0 903.0 1113.0 1271.0 1271.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 158.0000 .. 226.0000 cents 68.00000 cents 158.00000 cents 2: 316.0000 .. 397.0000 cents 81.00000 cents 90.00000 cents 3: 519.0000 .. 564.0000 cents 45.00000 cents 122.00000 cents 4: 707.0000 .. 752.0000 cents 45.00000 cents 143.00000 cents 5: 874.0000 .. 955.0000 cents 81.00000 cents 122.00000 cents 6: 1045.0000 .. 1113.0000 cents 68.00000 cents 90.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 158.00000 cents, class 1 Average step (divided formal octave): 181.5714 cents Largest one step interval : 226.00000 cents Average / Smallest step : 1.149186 Largest / Average step : 1.244689 Largest / Smallest step : 1.430380 Median interval of one step : 167.00000 cents, amount: 1 Most common interval of one step : 158.00000 cents, amount: 2 Least squares average step : 185.80000 cents, oct.: 1300.60000 cents Scale is strictly proper Scale is a mode of a 1271-tone equal temperament with octave 1271.000 cents degrees: 226 391 558 745 955 1113 1271 Least number of segments generator : 636 of 636.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1122 of 1122.000 cents and inv. generated superset size: 251 = 244 more = 3585.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFF Step pattern size order : FBCDEAA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 90.00000 cents Scale diversity : 1.215728 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.694729 Rothenberg efficiency : 0.299320 redundancy: 0.700680 Efficiency x scale size : 2.095238 Number of different interval sizes : 40 = 6.66667 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.66667 = 20/3 Median interval variety : 6.5 Lowest interval variety : 6 Smallest interval difference : 2.00000 cents Most common intervals : 158.00000 cents & inv., amount: 2 Most common triad is 0.0 158.000 1113.000 cents, amount: 1 Number of recognisable fifths : 3, average 712.0000 cents Number of appreciable fifths : 2, average 710.0000 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 81.0000 cents: 1 5 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 29.4102 c. M: 47.1429 c. Lebeng 12: 2 2 1 2 2 2 1 P M ME S SD: 26.1968 c. M:-52.0833 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 13: 2 2 2 2 2 1 2 SP M ME S SD: 26.8627 c. M: 37.5385 c. Karakalian 16: 3 2 2 2 3 2 2 SP M ME S SD: 12.5426 c. M: 30.0625 c. Antiphrygian 21: 4 2 3 3 4 2 3 SP T3 SD: 18.1126 c. M: 27.8571 c. 22: 4 3 3 3 4 2 3 SP D3 SD: 15.1302 c. M:-27.1364 c. 23: 4 3 3 3 4 3 3 SP M ME S SD: 12.4322 c. M: 26.6087 c. 27: 5 3 4 4 4 4 3 SP D3 S SD: 11.1744 c. M:-16.7778 c. 29: 5 4 4 4 5 3 4 SP D3 SD: 9.1156 c. M: 17.3103 c. 32: 6 4 4 5 5 4 4 SP D3 S SD: 6.4444 c. M:-12.3125 c. 39: 7 5 5 6 6 5 5 SP D3 S SD: 4.8346 c. M: 9.8974 c. 51: 9 7 6 8 8 7 6 SP SD: 6.5457 c. M: 9.7255 c. 55: 10 7 7 8 9 7 7 SP SD: 4.5035 c. M: 7.5273 c. 56: 10 7 8 8 9 7 7 SP SD: 4.4047 c. M:-9.4107 c. 68: 12 9 9 10 11 9 8 SP SD: 3.6744 c. M:-8.4706 c. 71: 13 9 9 11 11 9 9 SP D3 S SD: 4.7507 c. M:-6.8592 c. 72: 13 9 10 10 12 9 9 SP SD: 3.4484 c. M:-6.8889 c. 75: 13 10 10 11 12 10 9 SP SD: 3.8126 c. M: 5.9867 c. 80: 14 11 10 12 13 10 10 SP SD: 2.9660 c. M:-6.1875 c. 89: 16 11 12 13 15 11 11 SP SD: 2.5777 c. M: 5.4157 c. 91: 16 12 12 13 15 12 11 SP SD: 3.2929 c. M: 5.2418 c. 94: 17 12 12 14 16 11 12 SP SD: 3.2580 c. M:-5.0106 c. 96: 17 12 13 14 16 12 12 SP SD: 3.1851 c. M: 7.0521 c. 97: 17 13 13 14 16 12 12 SP SD: 2.6959 c. M:-5.4330 c. 102: 18 13 14 15 17 12 13 SP SD: 3.2870 c. M: 4.7157 c. 104: 18 14 14 15 17 13 13 SP SD: 2.8715 c. M: 6.0192 c. 107: 19 14 14 16 17 14 13 SP SD: 2.6034 c. M: 4.7196 c. 111: 20 14 15 16 18 14 14 SP SD: 2.6307 c. M: 4.6126 c. 113: 20 15 15 16 19 14 14 SP SD: 2.2650 c. M:-4.3894 c. 114: 20 15 15 17 19 14 14 SP SD: 2.1468 c. M:-3.8246 c. 118: 21 15 16 17 20 14 15 SP SD: 2.5094 c. M:-3.6356 c. 120: 21 16 16 17 20 15 15 SP SD: 2.4355 c. M: 3.5833 c. 121: 22 15 16 18 20 15 15 SP SD: 2.2251 c. M:-5.0909 c. 123: 22 16 16 18 20 16 15 SP SD: 2.1822 c. M: 4.3333 c. 128: 23 16 17 19 21 16 16 SP SD: 1.9762 c. M: 3.7422 c. 129: 23 17 17 19 21 16 16 SP SD: 2.3347 c. M:-3.8062 c. 130: 23 17 17 19 22 16 16 SP SD: 1.6003 c. M:-3.1385 c. 136: 24 18 18 20 22 17 17 SP SD: 1.8331 c. M:-2.7353 c. 137: 24 18 18 20 23 17 17 SP SD: 1.8184 c. M: 3.3431 c. 145: 26 19 19 21 24 18 18 SP SD: 1.8792 c. M:-3.4483 c. 146: 26 19 19 22 24 18 18 SP SD: 1.8261 c. M:-3.6712 c. 152: 27 20 20 22 25 19 19 SP SD: 1.3925 c. M:-2.2434 c. 153: 27 20 20 23 25 19 19 SP SD: 1.3298 c. M:-2.6471 c. 162: 29 21 21 24 27 20 20 SP SD: 1.2482 c. M:-2.1728 c. 169: 30 22 22 25 28 21 21 SP SD: 0.6007 c. M: 1.4675 c. 225: 40 29 30 33 37 28 28 SP SD: 0.7185 c. M:-1.2400 c. 305: 54 40 40 45 50 38 38 SP SD: 0.6673 c. M: 0.9705 c. 321: 57 42 42 47 53 40 40 SP SD: 0.5681 c. M:-0.9907 c. 355: 63 46 47 52 59 44 44 SP SD: 0.5626 c. M:-0.9352 c. 387: 69 50 51 57 64 48 48 SP SD: 0.4499 c. M:-0.7132 c. 394: 70 51 52 58 65 49 49 SP SD: 0.2785 c. M: 0.6675 c. 556: 99 72 73 82 92 69 69 SP SD: 0.2845 c. M:-0.5360 c. 563: 100 73 74 83 93 70 70 SP SD: 0.2420 c. M: 0.4440 c. 708: 126 92 93 104 117 88 88 SP SD: 0.1924 c. M:-0.3531 c. 877: 156 114 115 129 145 109 109 SP SD: 0.1251 c. M:-0.2999 c. 1046: 186 136 137 154 173 130 130 SP SD: 0.1546 c. M: 0.2667 c. 1102: 196 143 145 162 182 137 137 SP SD: 0.0921 c. M:-0.2250 c. 1271: 226 165 167 187 210 158 158 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 71.0000 cents 2 x x x 3 x x 4 S SD: 41.5147 cents 3 x x 4 x 5 x 6 S SD: 38.9099 cents 4 x 5 x 6:7 x 8 S SD: 21.0757 cents 5 x 6:7:8:9 x 10 S SD: 28.2538 cents 6:7 x 8:9:10:11:13 SD: 23.9930 cents 7:8:9:10:11:12:13:15 SD: 15.2832 cents 8:9:10:11:12:14:15:17 SD: 9.4364 cents 13:15:16:18:20:23:25:27 SD: 7.7794 cents 15:17:19:21:23:26:29:31 SD: 6.4789 cents 19:22:24:26:29:33:36:40 SD: 5.9018 cents 20:23:25:28:31:35:38:42 SD: 5.4241 cents 21:24:26:29:32:36:40:44 SD: 5.1584 cents 23:26:29:32:35:40:44:48 SD: 4.3558 cents 28:32:35:39:43:49:53:58 SD: 3.6829 cents 31:35:39:43:48:54:59:65 SD: 3.6709 cents 34:39:43:47:52:59:65:71 SD: 3.3927 cents 35:40:44:48:54:61:67:73 SD: 2.8008 cents 43:49:54:59:66:75:82:90 SD: 2.3641 cents 48:55:60:66:74:83:91:100 SD: 2.2978 cents 50:57:63:69:77:87:95:104 SD: 1.5535 cents 63:72:79:87:97:109:120:131 SD: 1.3346 cents 71:81:89:98:109:123:135:148 SD: 0.7428 cents 121:138:152:167:186:210:230:252 SD: 0.6425 cents 145:165:182:200:223:252:276:302 SD: 0.6202 cents 158:180:198:218:243:274:301:329 SD: 0.5287 cents 166:189:208:229:255:288:316:346 SD: 0.4564 cents 186:212:233:257:286:323:354:388 SD: 0.4394 cents 194:221:243:268:298:337:369:404 SD: 0.4322 cents 216:246:271:298:332:375:411:450 SD: 0.3413 cents 273:311:342:377:420:474:519:569 SD: 0.2493 cents 344:392:431:475:529:597:654:717 SD: 0.2022 cents 379:432:475:523:583:658:721:790 SD: 0.1679 cents 481:548:603:664:740:835:915:1002 SD: 0.1523 cents 489:557:613:675:752:849:930:1019 SD: 0.0973 cents 560:638:702:773:861:972:1065:1167 SD: 0.0910 cents