Scala analysis: Greece_Second
Second (Voice), Greece
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 139.000 cents 139.000000 2: 361.000 cents 361.000000 3: 493.000 cents 493.000000 4: 710.000 cents 710.000000 5: 854.000 cents 854.000000 6: 1017.000 cents 1017.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 183.0000 cents 183.0000 1: 139.0000 cents 139.0000 2: 222.0000 cents 222.0000 3: 132.0000 cents 132.0000 4: 217.0000 cents 217.0000 5: 144.0000 cents 144.0000 6: 163.0000 cents 163.0000 7: 183.0000 cents 183.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 132.00000 cents 1: 1 139.00000 cents 1: 1 144.00000 cents 1: 1 163.00000 cents 1: 1 183.00000 cents 1: 1 217.00000 cents 1: 1 222.00000 cents 2: 1 307.00000 cents 2: 1 322.00000 cents 2: 1 346.00000 cents 2: 1 349.00000 cents 2: 1 354.00000 cents 2: 2 361.00000 cents 3: 1 485.00000 cents 3: 1 490.00000 cents 3: 2 493.00000 cents 3: 1 524.00000 cents 3: 1 544.00000 cents 3: 1 571.00000 cents 4: 1 629.00000 cents 4: 1 656.00000 cents 4: 1 676.00000 cents 4: 2 707.00000 cents 4: 1 710.00000 cents 4: 1 715.00000 cents 5: 2 839.00000 cents 5: 1 846.00000 cents 5: 1 851.00000 cents 5: 1 854.00000 cents 5: 1 878.00000 cents 5: 1 893.00000 cents 6: 1 978.00000 cents 6: 1 983.00000 cents 6: 1 1017.00000 cents 6: 1 1037.00000 cents 6: 1 1056.00000 cents 6: 1 1061.00000 cents 6: 1 1068.00000 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 : 139.0 361.0 493.0 710.0 854.0 1017.0 1200.0 139.0 : 222.0 354.0 571.0 715.0 878.0 1061.0 1200.0 361.0 : 132.0 349.0 493.0 656.0 839.0 978.0 1200.0 493.0 : 217.0 361.0 524.0 707.0 846.0 1068.0 1200.0 710.0 : 144.0 307.0 490.0 629.0 851.0 983.0 1200.0 854.0 : 163.0 346.0 485.0 707.0 839.0 1056.0 1200.0 1017.0: 183.0 322.0 544.0 676.0 893.0 1037.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 132.0000 .. 222.0000 cents 90.00000 cents 132.00000 cents 2: 307.0000 .. 361.0000 cents 54.00000 cents 85.00000 cents 3: 485.0000 .. 571.0000 cents 86.00000 cents 124.00000 cents 4: 629.0000 .. 715.0000 cents 86.00000 cents 58.00000 cents 5: 839.0000 .. 893.0000 cents 54.00000 cents 124.00000 cents 6: 978.0000 .. 1068.0000 cents 90.00000 cents 85.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 132.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 222.00000 cents Average / Smallest step : 1.298701 Largest / Average step : 1.295000 Largest / Smallest step : 1.681818 Median interval of one step : 163.00000 cents, amount: 1 Least squares average step : 171.08571 cents, oct.: 1197.60000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 139 361 493 710 854 1017 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 857 of 857.000 cents and inv. generated superset size: 398 = 391 more = 5685.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : BGAFCDE Scale is a Constant Structure, by a margin of 58.00000 cents Scale diversity : 1.405432 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.616667 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 : 3.00000 cents Number of recognisable fifths : 4, average 709.7500 cents Number of appreciable fifths : 3, average 708.0000 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% Limited inverse transpositions with margin 83.0000 cents: 5 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 19.1514 c. M:-32.4286 c. Lebeng 15: 2 3 1 3 2 2 2 SP D3 S SD: 22.1553 c. M:-39.0000 c. 17: 2 3 2 3 2 2 3 SP M ME S SD: 11.7320 c. M: 28.7647 c. 20: 2 4 2 4 2 3 3 P D3 S SD: 10.9283 c. M: 19.0000 c. 24: 3 4 3 4 3 3 4 SP M ME S SD: 9.9714 c. M: 17.0000 c. Neutral Hypophrygian, Iced Mixolydian 27: 3 5 3 5 3 4 4 SP D3 S SD: 5.3247 c. M: 9.5556 c. 34: 4 6 4 6 4 5 5 SP D3 S SD: 5.0526 c. M: 8.0588 c. 44: 5 8 5 8 5 6 7 SP SD: 5.2015 c. M: 8.5455 c. 46: 5 9 5 8 6 6 7 SP SD: 5.0352 c. M: 8.5652 c. 51: 6 9 6 9 6 7 8 SP SD: 4.8325 c. M: 8.0588 c. 53: 6 10 6 9 7 7 8 SP SD: 4.5928 c. M: 8.1132 c. 59: 7 11 6 11 7 8 9 SP SD: 3.0379 c. M:-5.1017 c. 66: 8 12 7 12 8 9 10 SP SD: 2.8159 c. M:-6.4545 c. 80: 9 15 9 14 10 11 12 SP SD: 2.8284 c. M: 5.0000 c. 86: 10 16 9 16 10 12 13 SP SD: 2.3356 c. M: 4.6279 c. 93: 11 17 10 17 11 13 14 SP SD: 1.9719 c. M:-2.9355 c. 103: 12 19 11 19 12 14 16 SP SD: 2.3496 c. M: 3.6796 c. 110: 13 20 12 20 13 15 17 SP SD: 2.0605 c. M: 3.0909 c. 112: 13 21 12 20 14 15 17 SP SD: 2.0589 c. M:-3.2857 c. 124: 14 23 14 22 15 17 19 SP SD: 2.4003 c. M: 3.5484 c. 129: 15 24 14 23 16 17 20 SP SD: 1.8976 c. M: 3.0465 c. 132: 15 25 14 24 16 18 20 SP SD: 1.7235 c. M:-2.6364 c. 139: 16 26 15 25 17 19 21 SP SD: 1.3004 c. M: 2.0863 c. 149: 17 28 16 27 18 20 23 SP SD: 1.5144 c. M: 2.2349 c. 156: 18 29 17 28 19 21 24 SP SD: 1.1350 c. M: 2.3077 c. 183: 21 34 20 33 22 25 28 SP SD: 1.1478 c. M: 1.8033 c. 209: 24 39 23 38 25 28 32 SP SD: 1.1473 c. M:-1.9617 c. 216: 25 40 24 39 26 29 33 SP SD: 0.9162 c. M:-1.5556 c. 243: 28 45 27 44 29 33 37 SP SD: 0.6424 c. M:-1.1111 c. 302: 35 56 33 55 36 41 46 SP SD: 0.5552 c. M:-1.2583 c. 309: 36 57 34 56 37 42 47 SP SD: 0.4694 c. M:-0.8058 c. 353: 41 65 39 64 42 48 54 SP SD: 0.4916 c. M: 0.7422 c. 382: 44 71 42 69 46 52 58 SP SD: 0.4719 c. M:-0.8010 c. 399: 46 74 44 72 48 54 61 SP SD: 0.3319 c. M: 0.6541 c. 406: 47 75 45 73 49 55 62 SP SD: 0.3850 c. M: 0.6404 c. 458: 53 85 50 83 55 62 70 SP SD: 0.3193 c. M:-0.5721 c. 465: 54 86 51 84 56 63 71 SP SD: 0.2426 c. M:-0.3548 c. 492: 57 91 54 89 59 67 75 SP SD: 0.2011 c. M: 0.3415 c. 708: 82 131 78 128 85 96 108 SP SD: 0.1398 c. M:-0.2373 c. 735: 85 136 81 133 88 100 112 SP SD: 0.1535 c. M: 0.2245 c. 891: 103 165 98 161 107 121 136 SP SD: 0.1628 c. M: 0.2795 c. 1141: 132 211 126 206 137 155 174 SP SD: 0.1571 c. M: 0.2638 c. 1166: 135 216 128 211 140 158 178 SP SD: 0.1473 c. M:-0.2350 c. 1173: 136 217 129 212 141 159 179 SP SD: 0.1226 c. M:-0.2199 c. 1193: 138 221 131 216 143 162 182 SP SD: 0.1124 c. M: 0.1903 c. 1200: 139 222 132 217 144 163 183 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 4.0225 cents 3 x x 4 x 5 x 6 S SD: 10.2583 cents 4 x 5 x 6 x 7:8 S SD: 13.7528 cents 5 x 6:7 x 8:9:10 S SD: 21.6291 cents 6 x 7:8:9:10:11:12 S SD: 17.4160 cents 7:8 x 9 x 11:13:14 SD: 28.2531 cents 8:9:10:11:12:13:14:16 S SD: 14.8613 cents 9:10:11:12:14:15:16:18 S SD: 11.4898 cents 10:11:12:13:15:16:18:20 SD: 10.9993 cents 12:13:15:16:18:20:22:24 SD: 7.4233 cents 14:15:17:19:21:23:25:28 SD: 7.2043 cents 20:22:25:27:30:33:36:40 SD: 6.7838 cents 21:23:26:28:32:34:38:42 SD: 5.1530 cents 22:24:27:29:33:36:40:44 SD: 4.0023 cents 25:27:31:33:38:41:45:50 SD: 3.3315 cents 34:37:42:45:51:56:61:68 SD: 2.5774 cents 36:39:44:48:54:59:65:72 SD: 2.5228 cents 39:42:48:52:59:64:70:78 SD: 2.1107 cents 49:53:60:65:74:80:88:98 SD: 1.9456 cents 60:65:74:80:90:98:108:120 SD: 1.5408 cents 61:66:75:81:92:100:110:122 SD: 0.9147 cents 85:92:105:113:128:139:153:170 SD: 0.8534 cents 94:102:116:125:142:154:169:188 SD: 0.8507 cents 116:126:143:154:175:190:209:232 SD: 0.8267 cents 121:131:149:161:182:198:218:242 SD: 0.6763 cents 130:141:160:173:196:213:234:260 SD: 0.4417 cents 191:207:235:254:288:313:344:382 SD: 0.4404 cents 203:220:250:270:306:332:365:406 SD: 0.4121 cents 215:233:265:286:324:352:387:430 SD: 0.2329 cents 276:299:340:367:416:452:497:552 SD: 0.2049 cents 298:323:367:396:449:488:536:596 SD: 0.1811 cents 428:464:527:569:645:701:770:856 SD: 0.1678 cents 444:481:547:590:669:727:799:888 SD: 0.1483 cents 513:556:632:682:773:840:923:1026 SD: 0.0768 cents 574:622:707:763:865:940:1033:1148 SD: 0.0600 cents