Scala analysis: Turkey_G-329
G-329 (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: 377.000 cents 377.000000 3: 519.000 cents 519.000000 4: 715.000 cents 715.000000 5: 941.000 cents 941.000000 6: 1106.000 cents 1106.000000 7: 1241.000 cents 1241.000000
SHOW/INTERVAL
0: 135.0000 cents 135.0000 1: 203.0000 cents 203.0000 2: 174.0000 cents 174.0000 3: 142.0000 cents 142.0000 4: 196.0000 cents 196.0000 5: 226.0000 cents 226.0000 6: 165.0000 cents 165.0000 7: 135.0000 cents 135.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 135.00000 cents 1: 1 142.00000 cents 1: 1 165.00000 cents 1: 1 174.00000 cents 1: 1 196.00000 cents 1: 1 203.00000 cents 1: 1 226.00000 cents 2: 1 300.00000 cents 2: 1 316.00000 cents 2: 2 338.00000 cents 2: 1 377.00000 cents 2: 1 391.00000 cents 2: 1 422.00000 cents 3: 1 503.00000 cents 3: 2 512.00000 cents 3: 1 519.00000 cents 3: 1 526.00000 cents 3: 1 564.00000 cents 3: 1 587.00000 cents 4: 1 654.00000 cents 4: 1 677.00000 cents 4: 1 715.00000 cents 4: 1 722.00000 cents 4: 2 729.00000 cents 4: 1 738.00000 cents 5: 1 819.00000 cents 5: 1 850.00000 cents 5: 1 864.00000 cents 5: 2 903.00000 cents 5: 1 925.00000 cents 5: 1 941.00000 cents 6: 1 1015.00000 cents 6: 1 1038.00000 cents 6: 1 1045.00000 cents 6: 1 1067.00000 cents 6: 1 1076.00000 cents 6: 1 1099.00000 cents 6: 1 1106.00000 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 : 203.0 377.0 519.0 715.0 941.0 1106.0 1241.0 203.0 : 174.0 316.0 512.0 738.0 903.0 1038.0 1241.0 377.0 : 142.0 338.0 564.0 729.0 864.0 1067.0 1241.0 519.0 : 196.0 422.0 587.0 722.0 925.0 1099.0 1241.0 715.0 : 226.0 391.0 526.0 729.0 903.0 1045.0 1241.0 941.0 : 165.0 300.0 503.0 677.0 819.0 1015.0 1241.0 1106.0: 135.0 338.0 512.0 654.0 850.0 1076.0 1241.0 1241.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 135.0000 .. 226.0000 cents 91.00000 cents 135.00000 cents 2: 300.0000 .. 422.0000 cents 122.00000 cents 74.00000 cents 3: 503.0000 .. 587.0000 cents 84.00000 cents 81.00000 cents 4: 654.0000 .. 738.0000 cents 84.00000 cents 67.00000 cents 5: 819.0000 .. 941.0000 cents 122.00000 cents 81.00000 cents 6: 1015.0000 .. 1106.0000 cents 91.00000 cents 74.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 135.00000 cents, class 1 Average step (divided formal octave): 177.2857 cents Largest one step interval : 226.00000 cents Average / Smallest step : 1.313228 Largest / Average step : 1.274778 Largest / Smallest step : 1.674074 Median interval of one step : 174.00000 cents, amount: 1 Least squares average step : 181.44286 cents, oct.: 1270.10000 cents Scale is strictly proper Scale is a mode of a 1241-tone equal temperament with octave 1241.000 cents degrees: 203 377 519 715 941 1106 1241 Least number of segments generator : 621 of 621.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 707 of 707.000 cents and inv. generated superset size: 168 = 161 more = 2400.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : FDBEGCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 67.00000 cents Scale diversity : 1.443387 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.521354 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 : 7.00000 cents Number of recognisable fifths : 1, average 715.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 3, average 509.0000 cents Number of appreciable fourths : 1, average 503.0000 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% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 29.5925 c. M: 54.5714 c. Lebeng 10: 2 1 1 2 2 1 1 P D3 S SD: 29.8905 c. M:-51.8000 c. Pseudo Rast 11: 2 1 2 1 2 2 1 P M ME S SD: 32.6301 c. M:-45.0909 c. 12: 2 2 1 2 2 2 1 P M ME S SD: 19.0671 c. M:-36.6667 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: 18.3934 c. M:-29.6875 c. Antiphrygian 17: 3 2 2 3 3 2 2 SP D3 S SD: 11.1739 c. M:-16.0000 c. Pseudo Rast 24: 4 3 3 4 4 3 3 SP D3 S SD: 10.9166 c. M: 20.1250 c. Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian 26: 4 4 3 4 5 3 3 SP SD: 8.0995 c. M:-13.6154 c. 29: 5 4 3 5 5 4 3 SP SD: 7.7125 c. M:-12.4828 c. 36: 6 5 4 6 6 5 4 SP SD: 5.5562 c. M: 10.2500 c. Fourth plagal Byzantine Liturgical mode 45: 7 7 5 7 8 6 5 SP SD: 5.7345 c. M: 9.9556 c. 47: 8 6 6 7 9 6 5 SP SD: 6.6408 c. M:-9.5532 c. 49: 8 7 5 8 9 7 5 SP SD: 6.3663 c. M: 12.4694 c. 50: 8 7 6 8 9 7 5 SP SD: 5.2516 c. M:-10.9000 c. 55: 9 8 6 9 10 7 6 SP SD: 4.4322 c. M:-7.0364 c. 62: 10 9 7 10 11 8 7 SP SD: 3.3456 c. M:-5.5806 c. 66: 11 9 8 10 12 9 7 SP SD: 3.4635 c. M:-7.4848 c. 82: 13 12 9 13 15 11 9 SP SD: 3.4431 c. M: 6.2561 c. 83: 14 11 10 13 15 11 9 SP SD: 3.3214 c. M:-6.3253 c. 90: 15 12 11 14 16 12 10 SP SD: 3.4899 c. M:-4.9778 c. 91: 15 13 10 14 17 12 10 SP SD: 2.9934 c. M: 5.8571 c. 92: 15 13 10 15 17 12 10 SP SD: 2.7402 c. M: 6.4130 c. 99: 16 14 11 16 18 13 11 SP SD: 2.4383 c. M: 5.0505 c. 100: 16 14 12 16 18 13 11 SP SD: 3.3064 c. M:-4.7800 c. 102: 17 14 12 16 18 14 11 SP SD: 2.8991 c. M: 4.1667 c. 103: 17 14 12 16 19 14 11 SP SD: 2.4213 c. M: 4.1359 c. 108: 18 15 12 17 20 14 12 SP SD: 2.3813 c. M:-3.8333 c. 111: 18 16 12 18 20 15 12 SP SD: 2.3761 c. M: 4.7117 c. 121: 20 17 14 19 22 16 13 SP SD: 2.5409 c. M:-4.0661 c. 122: 20 17 14 19 23 16 13 SP SD: 2.4513 c. M:-5.0082 c. 127: 21 18 14 20 23 17 14 SP SD: 2.3118 c. M:-4.0945 c. 128: 21 18 15 20 23 17 14 SP SD: 2.0406 c. M:-4.5469 c. 129: 21 18 15 20 24 17 14 SP SD: 1.5765 c. M: 3.1085 c. 141: 23 20 16 22 26 19 15 SP SD: 1.5270 c. M:-2.9787 c. 148: 24 21 17 23 27 20 16 SP SD: 1.3769 c. M: 2.2635 c. 158: 26 22 18 25 29 21 17 SP SD: 0.9582 c. M:-1.5316 c. 165: 27 23 19 26 30 22 18 SP SD: 0.5332 c. M: 0.9394 c. 323: 53 45 37 51 59 43 35 SP SD: 0.4201 c. M:-0.6316 c. 368: 60 52 42 58 67 49 40 SP SD: 0.3907 c. M:-0.6957 c. 385: 63 54 44 61 70 51 42 SP SD: 0.2852 c. M:-0.5896 c. 526: 86 74 60 83 96 70 57 SP SD: 0.3101 c. M:-0.5190 c. 533: 87 75 61 84 97 71 58 SP SD: 0.2511 c. M: 0.4353 c. 550: 90 77 63 87 100 73 60 SP SD: 0.1957 c. M: 0.3818 c. 691: 113 97 79 109 126 92 75 SP SD: 0.1558 c. M:-0.3039 c. 856: 140 120 98 135 156 114 93 SP SD: 0.1283 c. M: 0.2652 c. 918: 150 129 105 145 167 122 100 SP SD: 0.1478 c. M: 0.2222 c. 1076: 176 151 123 170 196 143 117 SP SD: 0.0818 c. M:-0.1441 c. 1241: 203 174 142 196 226 165 135 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 41.0000 cents 2 x x x 3 x x 4 S SD: 21.5126 cents 3 x x 4 x 5 x 6 S SD: 24.3318 cents 4 x 5 x 6:7 x 8 S SD: 13.0197 cents 5 x 6:7:8:9 x 10 S SD: 31.6769 cents 6:7 x 8:9:10:11:12 S SD: 18.8457 cents 7:8:9 x 11:12:13:14 SD: 17.9830 cents 8:9:10:11:12:14:15:16 S SD: 9.1159 cents 15:17:19:20:23:26:28:31 SD: 8.2240 cents 16:18:20:22:24:28:30:33 S SD: 7.2019 cents 17:19:21:23:26:29:32:35 SD: 4.8412 cents 25:28:31:34:38:43:47:51 SD: 3.3940 cents 37:42:46:50:56:64:70:76 SD: 2.7544 cents 40:45:50:54:60:69:76:82 SD: 2.4605 cents 41:46:51:55:62:71:78:84 SD: 2.3613 cents 49:55:61:66:74:84:93:100 SD: 1.6698 cents 57:64:71:77:86:98:108:117 SD: 1.0289 cents 86:97:107:116:130:148:163:176 SD: 0.8474 cents 111:125:138:150:168:191:210:227 SD: 0.7966 cents 123:138:153:166:186:212:233:252 SD: 0.6185 cents 143:161:178:193:216:246:271:293 SD: 0.5499 cents 152:171:189:205:230:262:288:311 SD: 0.4882 cents 169:190:210:228:255:291:320:346 SD: 0.4558 cents 201:226:250:271:304:346:381:412 SD: 0.4279 cents 209:235:260:282:316:360:396:428 SD: 0.2006 cents 378:425:470:510:571:651:716:774 SD: 0.1504 cents 481:541:598:649:727:828:911:985 SD: 0.1425 cents 547:615:680:738:827:942:1036:1120 SD: 0.1359 cents 587:660:730:792:887:1011:1112:1202 SD: 0.1085 cents