Scala analysis: Turkey_G-330
G-330 (Ney), Turkey
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 249.000 cents 249.000000 2: 414.000 cents 414.000000 3: 572.000 cents 572.000000 4: 784.000 cents 784.000000 5: 978.000 cents 978.000000 6: 1159.000 cents 1159.000000 7: 1317.000 cents 1317.000000
SHOW/INTERVAL
0: 158.0000 cents 158.0000 1: 249.0000 cents 249.0000 2: 165.0000 cents 165.0000 3: 158.0000 cents 158.0000 4: 212.0000 cents 212.0000 5: 194.0000 cents 194.0000 6: 181.0000 cents 181.0000 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: 1 181.00000 cents 1: 1 194.00000 cents 1: 1 212.00000 cents 1: 1 249.00000 cents 2: 1 323.00000 cents 2: 1 339.00000 cents 2: 1 370.00000 cents 2: 1 375.00000 cents 2: 1 406.00000 cents 2: 1 407.00000 cents 2: 1 414.00000 cents 3: 1 533.00000 cents 3: 1 535.00000 cents 3: 1 564.00000 cents 3: 2 572.00000 cents 3: 1 587.00000 cents 3: 1 588.00000 cents 4: 1 729.00000 cents 4: 1 730.00000 cents 4: 2 745.00000 cents 4: 1 753.00000 cents 4: 1 782.00000 cents 4: 1 784.00000 cents 5: 1 903.00000 cents 5: 1 910.00000 cents 5: 1 911.00000 cents 5: 1 942.00000 cents 5: 1 947.00000 cents 5: 1 978.00000 cents 5: 1 994.00000 cents 6: 1 1068.00000 cents 6: 1 1105.00000 cents 6: 1 1123.00000 cents 6: 1 1136.00000 cents 6: 1 1152.00000 cents 6: 2 1159.00000 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 : 249.0 414.0 572.0 784.0 978.0 1159.0 1317.0 249.0 : 165.0 323.0 535.0 729.0 910.0 1068.0 1317.0 414.0 : 158.0 370.0 564.0 745.0 903.0 1152.0 1317.0 572.0 : 212.0 406.0 587.0 745.0 994.0 1159.0 1317.0 784.0 : 194.0 375.0 533.0 782.0 947.0 1105.0 1317.0 978.0 : 181.0 339.0 588.0 753.0 911.0 1123.0 1317.0 1159.0: 158.0 407.0 572.0 730.0 942.0 1136.0 1317.0 1317.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 158.0000 .. 249.0000 cents 91.00000 cents 158.00000 cents 2: 323.0000 .. 414.0000 cents 91.00000 cents 74.00000 cents 3: 533.0000 .. 588.0000 cents 55.00000 cents 119.00000 cents 4: 729.0000 .. 784.0000 cents 55.00000 cents 141.00000 cents 5: 903.0000 .. 994.0000 cents 91.00000 cents 119.00000 cents 6: 1068.0000 .. 1159.0000 cents 91.00000 cents 74.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 158.00000 cents, class 1 Average step (divided formal octave): 188.1429 cents Largest one step interval : 249.00000 cents Average / Smallest step : 1.190778 Largest / Average step : 1.323462 Largest / Smallest step : 1.575949 Median interval of one step : 181.00000 cents, amount: 1 Most common interval of one step : 158.00000 cents, amount: 2 Least squares average step : 192.80000 cents, oct.: 1349.60000 cents Scale is strictly proper Scale is a mode of a 1317-tone equal temperament with octave 1317.000 cents degrees: 249 414 572 784 978 1159 1317 Least number of segments generator : 659 of 659.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 730 of 730.000 cents and inv. generated superset size: 293 = 286 more = 4185.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFC Step pattern size order : FBAEDCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 74.00000 cents Scale diversity : 1.172130 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.640091 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 : 6 Highest interval variety : 7 Mean interval variety : 6.33333 = 19/3 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Best major 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 91.0000 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 34.7848 c. M: 60.8571 c. Lebeng 9: 2 1 1 1 2 1 1 P M ME S SD: 33.2334 c. M: 52.3333 c. 10: 2 1 1 2 1 2 1 P M ME S SD: 30.4372 c. M: 56.1000 c. Sethares Neutral, Beatles-7, Dichotic-7 12: 2 2 1 2 2 2 1 P M ME S SD: 25.9312 c. M:-48.2500 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 15: 3 2 2 2 2 2 2 SP M ME S SD: 21.1935 c. M:-42.6000 c. Porky-7 16: 3 2 2 3 2 2 2 SP M ME S SD: 15.5722 c. M:-39.1250 c. Antilocrian 18: 3 3 2 3 2 3 2 SP M ME S SD: 20.5746 c. M: 29.5000 c. 19: 4 2 2 3 3 3 2 P T3 SD: 16.9186 c. M:-28.2632 c. 20: 4 2 3 3 3 3 2 SP D3 S SD: 16.1076 c. M:-26.3000 c. 22: 4 3 2 4 3 3 3 SP D3 SD: 17.4332 c. M: 33.2273 c. Ionian Porcupine 23: 4 3 3 4 3 3 3 SP M ME S SD: 12.5048 c. M: 19.9565 c. 25: 5 3 3 4 4 3 3 SP D3 S SD: 11.2277 c. M:-22.9200 c. 28: 5 4 3 5 4 4 3 SP T3 SD: 11.7063 c. M:-16.8929 c. 32: 6 4 4 5 5 4 4 SP D3 S SD: 4.9398 c. M:-9.7500 c. 42: 8 5 5 7 6 6 5 SP SD: 4.4371 c. M: 7.5714 c. 57: 11 7 7 9 8 8 7 SP SD: 4.4046 c. M: 7.5789 c. 67: 13 8 8 11 10 9 8 SP SD: 3.3190 c. M:-6.5373 c. 69: 13 9 8 11 10 10 8 SP SD: 3.5280 c. M:-5.9130 c. 74: 14 9 9 12 11 10 9 SP SD: 2.2119 c. M: 4.6622 c. 101: 19 13 12 16 15 14 12 SP SD: 1.7000 c. M:-3.2673 c. 131: 25 16 16 21 19 18 16 SP SD: 1.9249 c. M: 2.8550 c. 133: 25 17 16 21 20 18 16 SP SD: 1.6759 c. M:-2.3308 c. 136: 26 17 16 22 20 19 16 SP SD: 1.8302 c. M:-3.0588 c. 143: 27 18 17 23 21 20 17 SP SD: 1.0568 c. M: 1.7622 c. 168: 32 21 20 27 25 23 20 SP SD: 1.2449 c. M:-1.9107 c. 175: 33 22 21 28 26 24 21 SP SD: 0.5745 c. M: 1.3257 c. 292: 55 37 35 47 43 40 35 SP SD: 0.7159 c. M:-0.9452 c. 318: 60 40 38 51 47 44 38 SP SD: 0.6360 c. M: 1.2547 c. 334: 63 42 40 54 49 46 40 SP SD: 0.3689 c. M:-0.6796 c. 477: 90 60 57 77 70 66 57 SP SD: 0.4264 c. M:-0.6226 c. 502: 95 63 60 81 74 69 60 SP SD: 0.4102 c. M:-0.5896 c. 509: 96 64 61 82 75 70 61 SP SD: 0.2481 c. M: 0.6071 c. 640: 121 80 77 103 94 88 77 SP SD: 0.3034 c. M: 0.5391 c. 665: 126 83 80 107 98 91 80 SP SD: 0.3366 c. M:-0.5368 c. 677: 128 85 81 109 100 93 81 SP SD: 0.2869 c. M:-0.5096 c. 684: 129 86 82 110 101 94 82 SP SD: 0.2809 c. M: 0.6184 c. 719: 136 90 86 116 106 99 86 SP SD: 0.2705 c. M: 0.5063 c. 734: 139 92 88 118 108 101 88 SP SD: 0.2847 c. M:-0.4782 c. 741: 140 93 89 119 109 102 89 SP SD: 0.2470 c. M: 0.4696 c. 773: 146 97 93 124 114 106 93 SP SD: 0.2815 c. M:-0.4605 c. 776: 147 97 93 125 114 107 93 SP SD: 0.2593 c. M:-0.4832 c. 808: 153 101 97 130 119 111 97 SP SD: 0.1563 c. M:-0.3824 c. 815: 154 102 98 131 120 112 98 SP SD: 0.2526 c. M: 0.3632 c. 840: 159 105 101 135 124 115 101 SP SD: 0.2421 c. M: 0.3536 c. 882: 167 110 106 142 130 121 106 SP SD: 0.2318 c. M: 0.3844 c. 909: 172 114 109 146 134 125 109 SP SD: 0.2073 c. M:-0.3696 c. 932: 176 117 112 150 137 128 112 SP SD: 0.2207 c. M:-0.3015 c. 951: 180 119 114 153 140 131 114 SP SD: 0.1743 c. M: 0.2902 c. 983: 186 123 118 158 145 135 118 SP SD: 0.1254 c. M: 0.2309 c. 1142: 216 143 137 184 168 157 137 SP SD: 0.0880 c. M:-0.2032 c. 1317: 249 165 158 212 194 181 158 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x 2 x S SD: 41.0000 cents 2 x x x 3 x 4 x S SD: 45.8595 cents 3 x x 4 x 5:6 x S SD: 42.0569 cents 4 x 5 x 6:7:8:9 S SD: 25.9356 cents 5:6 x 7:8:9:10:11 S SD: 17.4691 cents 6:7 x 8:9:11:12:13 SD: 23.4279 cents 7:8:9:10:11:12:14:15 S SD: 11.5477 cents 12:14:15:17:19:21:23:26 SD: 8.8041 cents 14:16:18:19:22:25:27:30 SD: 8.8000 cents 15:17:19:21:24:26:29:32 SD: 7.9049 cents 18:21:23:25:28:32:35:39 SD: 5.8113 cents 21:24:27:29:33:37:41:45 SD: 4.4077 cents 25:29:32:35:39:44:49:53 SD: 4.1633 cents 26:30:33:36:41:46:51:56 SD: 2.7669 cents 33:38:42:46:52:58:64:71 SD: 2.4614 cents 38:44:48:53:60:67:74:81 SD: 2.3120 cents 44:51:56:61:69:77:86:94 SD: 2.1022 cents 45:52:57:63:71:79:88:96 SD: 2.0727 cents 51:59:65:71:80:90:100:109 SD: 1.7219 cents 58:67:74:81:91:102:113:124 SD: 1.6874 cents 59:68:75:82:93:104:115:126 SD: 1.1717 cents 66:76:84:92:104:116:129:141 SD: 1.1674 cents 84:97:107:117:132:148:164:180 SD: 0.9355 cents 103:119:131:143:162:181:201:220 SD: 0.8839 cents 108:125:137:150:170:190:211:231 SD: 0.8465 cents 115:133:146:160:181:202:225:246 SD: 0.7324 cents 122:141:155:170:192:215:238:261 SD: 0.6821 cents 136:157:173:189:214:239:266:291 SD: 0.6709 cents 141:163:179:196:222:248:275:302 SD: 0.6489 cents 148:171:188:206:233:260:289:317 SD: 0.5236 cents 166:192:211:231:261:292:324:355 SD: 0.5158 cents 174:201:221:242:274:306:340:372 SD: 0.4319 cents 199:230:253:277:313:350:389:426 SD: 0.4137 cents 207:239:263:288:326:364:404:443 SD: 0.4069 cents 215:248:273:299:338:378:420:460 SD: 0.3667 cents 253:292:321:352:398:445:494:541 SD: 0.3585 cents 258:298:328:359:406:454:504:552 SD: 0.2841 cents 278:321:353:387:437:489:543:595 SD: 0.1944 cents 337:389:428:469:530:593:658:721 SD: 0.1406 cents 452:522:574:629:711:795:883:967 SD: 0.1167 cents 536:619:681:746:843:943:1047:1147 SD: 0.0966 cents