Scala analysis: Turkey_Ney_1174
1174 (Ney), Turkey
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 203.000 cents 203.000000 2: 361.000 cents 361.000000 3: 519.000 cents 519.000000 4: 706.000 cents 706.000000 5: 932.000 cents 932.000000 6: 1076.000 cents 1076.000000 7: 1234.000 cents 1234.000000
SHOW/INTERVAL
0: 158.0000 cents 158.0000 1: 203.0000 cents 203.0000 2: 158.0000 cents 158.0000 3: 158.0000 cents 158.0000 4: 187.0000 cents 187.0000 5: 226.0000 cents 226.0000 6: 144.0000 cents 144.0000 7: 158.0000 cents 158.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 144.00000 cents 1: 3 158.00000 cents 1: 1 187.00000 cents 1: 1 203.00000 cents 1: 1 226.00000 cents 2: 1 302.00000 cents 2: 1 316.00000 cents 2: 1 345.00000 cents 2: 2 361.00000 cents 2: 1 370.00000 cents 2: 1 413.00000 cents 3: 1 503.00000 cents 3: 1 505.00000 cents 3: 2 519.00000 cents 3: 1 528.00000 cents 3: 1 557.00000 cents 3: 1 571.00000 cents 4: 1 663.00000 cents 4: 1 677.00000 cents 4: 1 706.00000 cents 4: 2 715.00000 cents 4: 1 729.00000 cents 4: 1 731.00000 cents 5: 1 821.00000 cents 5: 1 864.00000 cents 5: 2 873.00000 cents 5: 1 889.00000 cents 5: 1 918.00000 cents 5: 1 932.00000 cents 6: 1 1008.00000 cents 6: 1 1031.00000 cents 6: 1 1047.00000 cents 6: 3 1076.00000 cents 6: 1 1090.00000 cents Highest number of different intervals for one interval class: 6 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 : 203.0 361.0 519.0 706.0 932.0 1076.0 1234.0 203.0 : 158.0 316.0 503.0 729.0 873.0 1031.0 1234.0 361.0 : 158.0 345.0 571.0 715.0 873.0 1076.0 1234.0 519.0 : 187.0 413.0 557.0 715.0 918.0 1076.0 1234.0 706.0 : 226.0 370.0 528.0 731.0 889.0 1047.0 1234.0 932.0 : 144.0 302.0 505.0 663.0 821.0 1008.0 1234.0 1076.0: 158.0 361.0 519.0 677.0 864.0 1090.0 1234.0 1234.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 144.0000 .. 226.0000 cents 82.00000 cents 144.00000 cents 2: 302.0000 .. 413.0000 cents 111.00000 cents 76.00000 cents 3: 503.0000 .. 571.0000 cents 68.00000 cents 90.00000 cents 4: 663.0000 .. 731.0000 cents 68.00000 cents 92.00000 cents 5: 821.0000 .. 932.0000 cents 111.00000 cents 90.00000 cents 6: 1008.0000 .. 1090.0000 cents 82.00000 cents 76.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 144.00000 cents, class 1 Average step (divided formal octave): 176.2857 cents Largest one step interval : 226.00000 cents Average / Smallest step : 1.224206 Largest / Average step : 1.282010 Largest / Smallest step : 1.569444 Median interval of one step : 158.00000 cents, amount: 3 Most common interval of one step : 158.00000 cents, amount: 3 Least squares average step : 179.00000 cents, oct.: 1253.00000 cents Scale is strictly proper Scale is a mode of a 1234-tone equal temperament with octave 1234.000 cents degrees: 203 361 519 706 932 1076 1234 Least number of segments generator : 619 of 619.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 855 of 855.000 cents and inv. generated superset size: 223 = 216 more = 3185.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABBCDEB Step pattern size order : DBBCEAB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 76.00000 cents Scale diversity : 1.390708 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.576985 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 : 6 Mean interval variety : 5.66667 = 17/3 Median interval variety : 5.5 Lowest interval variety : 5 Smallest interval difference : 2.00000 cents Most common intervals : 158.00000 cents & inv., amount: 3 Number of recognisable fifths : 3, average 712.0000 cents Number of appreciable fifths : 1, average 706.0000 cents Number of recognisable fourths : 2, average 504.0000 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 111.0000 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 23.2208 c. M: 50.5714 c. Lebeng 12: 2 2 1 2 2 1 2 P M ME S SD: 26.9116 c. M:-50.3333 c. G.Hypophrygian, G.Ionian (Iastian), M.Mixolydian, G.M.Hypoionian, Hypermixolydian, Mischung 3, Khamaj That, Mela Harikambhoji, Raga Balahamsa, Bhim, Devamanohari, Harini, Janjhuti, Kaamaai, Khambhavati, Surati, Gregorian nr.7, Enharmonic Byzantine Liturgical, Rast descending: Greece, Ching, Shang: China 13: 2 2 1 2 3 1 2 P D3 SD: 28.1042 c. M: 44.3846 c. 14: 2 2 2 2 3 1 2 P T3 SD: 19.3781 c. M:-37.5714 c. 16: 3 2 2 2 3 2 2 SP M ME S SD: 17.0906 c. M:-28.3750 c. Antiphrygian 17: 3 2 2 3 3 2 2 SP D3 S SD: 12.1631 c. M:-19.8824 c. Pseudo Rast 24: 4 3 3 4 4 3 3 SP D3 S SD: 6.3169 c. M:-13.8333 c. Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian 38: 6 5 5 6 7 4 5 SP SD: 6.1650 c. M:-9.7368 c. 45: 7 6 6 7 8 5 6 SP SD: 5.8300 c. M: 11.0444 c. 47: 8 6 6 7 9 5 6 SP SD: 6.6838 c. M:-13.1915 c. 48: 8 6 6 7 9 6 6 SP SD: 5.7193 c. M: 11.8750 c. 49: 8 6 7 7 9 6 6 SP SD: 5.5922 c. M:-9.8571 c. 54: 9 7 7 8 10 6 7 SP SD: 3.8899 c. M:-6.5926 c. 61: 10 8 8 9 11 7 8 SP SD: 3.3758 c. M:-6.9672 c. 65: 11 8 8 10 12 8 8 SP SD: 4.2853 c. M: 6.4154 c. 71: 12 9 9 11 13 8 9 SP SD: 4.4926 c. M:-6.5915 c. 72: 12 9 9 11 13 9 9 SP SD: 3.7585 c. M: 6.5000 c. 73: 12 9 10 11 13 9 9 SP SD: 4.0846 c. M: 6.0137 c. 78: 13 10 10 12 14 9 10 SP SD: 2.9746 c. M:-5.9231 c. 79: 13 10 10 12 15 9 10 SP SD: 2.8146 c. M:-5.2152 c. 86: 14 11 11 13 16 10 11 SP SD: 1.8734 c. M: 2.9070 c. 110: 18 14 14 17 20 13 14 SP SD: 1.5236 c. M: 2.9636 c. 126: 21 16 16 19 23 15 16 SP SD: 1.4131 c. M:-2.6667 c. 140: 23 18 18 21 26 16 18 SP SD: 1.0578 c. M:-2.3143 c. 147: 24 19 19 22 27 17 19 SP SD: 1.0350 c. M: 1.5306 c. 164: 27 21 21 25 30 19 21 SP SD: 0.6334 c. M:-1.2927 c. 171: 28 22 22 26 31 20 22 SP SD: 0.7988 c. M:-1.2047 c. 250: 41 32 32 38 46 29 32 SP SD: 0.5609 c. M:-0.9040 c. 273: 45 35 35 41 50 32 35 SP SD: 0.6217 c. M: 0.8571 c. 290: 48 37 37 44 53 34 37 SP SD: 0.5983 c. M:-1.2483 c. 311: 51 40 40 47 57 36 40 SP SD: 0.5097 c. M:-0.7878 c. 376: 62 48 48 57 69 44 48 SP SD: 0.3407 c. M:-0.4787 c. 383: 63 49 49 58 70 45 49 SP SD: 0.3796 c. M: 0.8616 c. 437: 72 56 56 66 80 51 56 SP SD: 0.3103 c. M:-0.5789 c. 523: 86 67 67 79 96 61 67 SP SD: 0.2042 c. M: 0.5201 c. 540: 89 69 69 82 99 63 69 SP SD: 0.2573 c. M:-0.3815 c. 547: 90 70 70 83 100 64 70 SP SD: 0.1354 c. M: 0.2962 c. 687: 113 88 88 104 126 80 88 SP SD: 0.1078 c. M:-0.2358 c. 858: 141 110 110 130 157 100 110 SP SD: 0.1493 c. M: 0.2098 c. 984: 162 126 126 149 180 115 126 SP SD: 0.1425 c. M: 0.2297 c. 1063: 175 136 136 161 195 124 136 SP SD: 0.1285 c. M: 0.1938 c. 1070: 176 137 137 162 196 125 137 SP SD: 0.0971 c. M: 0.1981 c. 1234: 203 158 158 187 226 144 158 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 34.0000 cents 2 x x x 3 x x 4 S SD: 17.1199 cents 3 x x 4 x 5 x 6 S SD: 20.7225 cents 4 x 5 x 6:7 x 8 S SD: 14.0741 cents 5 x 6:7:8 x 9:10 S SD: 29.8359 cents 6:7 x 8:9:10:11:12 S SD: 15.5190 cents 7:8:9 x 11:12:13:14 SD: 19.2275 cents 8:9:10:11:12:14:15:16 S SD: 9.4384 cents 14:16:17:19:21:24:26:29 SD: 6.7882 cents 17:19:21:23:26:29:32:35 SD: 5.8981 cents 22:25:27:30:33:38:41:45 SD: 4.3894 cents 26:29:32:35:39:45:48:53 SD: 3.9360 cents 31:35:38:42:47:53:58:63 SD: 3.2044 cents 34:38:42:46:51:58:63:69 SD: 2.7311 cents 42:47:52:57:63:72:78:86 SD: 2.5567 cents 46:52:57:62:69:79:86:94 SD: 2.4411 cents 48:54:59:65:72:82:89:98 SD: 1.7085 cents 56:63:69:76:84:96:104:114 SD: 1.7036 cents 57:64:70:77:86:98:106:116 SD: 1.6358 cents 65:73:80:88:98:111:121:133 SD: 1.5692 cents 66:74:81:89:99:113:123:135 SD: 1.5150 cents 72:81:89:97:108:123:134:147 SD: 1.3485 cents 74:83:91:100:111:127:138:151 SD: 1.1722 cents 94:106:116:127:141:161:175:192 SD: 1.1121 cents 95:107:117:128:143:163:177:194 SD: 0.8305 cents 121:136:149:163:182:207:225:247 SD: 0.6964 cents 129:145:159:174:194:221:240:263 SD: 0.3003 cents 272:306:335:367:409:466:506:555 SD: 0.2644 cents 306:344:377:413:460:524:570:624 SD: 0.1934 cents 401:451:494:541:603:687:747:818 SD: 0.1832 cents 435:489:536:587:654:745:810:887 SD: 0.1455 cents 449:505:553:606:675:769:836:916 SD: 0.1251 cents 578:650:712:780:869:990:1076:1179 SD: 0.0713 cents