Scala analysis: Georgia_GCH-ID_008_Top
GCH-ID 008 Top (Voice), Georgia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 222.000 cents 222.000000 2: 388.000 cents 388.000000 3: 551.000 cents 551.000000 4: 726.000 cents 726.000000 5: 923.000 cents 923.000000 6: 1125.000 cents 1125.000000 7: 1274.000 cents 1274.000000 8: 1453.000 cents 1453.000000 9: 1615.000 cents 1615.000000
SHOW/INTERVAL
0: 162.0000 cents 162.0000 1: 222.0000 cents 222.0000 2: 166.0000 cents 166.0000 3: 163.0000 cents 163.0000 4: 175.0000 cents 175.0000 5: 197.0000 cents 197.0000 6: 202.0000 cents 202.0000 7: 149.0000 cents 149.0000 8: 179.0000 cents 179.0000 9: 162.0000 cents 162.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 149.00000 cents 1: 1 162.00000 cents 1: 1 163.00000 cents 1: 1 166.00000 cents 1: 1 175.00000 cents 1: 1 179.00000 cents 1: 1 197.00000 cents 1: 1 202.00000 cents 1: 1 222.00000 cents 2: 1 328.00000 cents 2: 1 329.00000 cents 2: 1 338.00000 cents 2: 1 341.00000 cents 2: 1 351.00000 cents 2: 1 372.00000 cents 2: 1 384.00000 cents 2: 1 388.00000 cents 2: 1 399.00000 cents 3: 1 490.00000 cents 3: 1 504.00000 cents 3: 1 530.00000 cents 3: 1 535.00000 cents 3: 1 548.00000 cents 3: 1 550.00000 cents 3: 1 551.00000 cents 3: 1 563.00000 cents 3: 1 574.00000 cents 4: 1 692.00000 cents 4: 1 701.00000 cents 4: 1 712.00000 cents 4: 1 713.00000 cents 4: 1 723.00000 cents 4: 1 726.00000 cents 4: 1 727.00000 cents 4: 1 729.00000 cents 4: 1 737.00000 cents 5: 1 878.00000 cents 5: 1 886.00000 cents 5: 1 888.00000 cents 5: 1 889.00000 cents 5: 1 892.00000 cents 5: 1 902.00000 cents 5: 1 903.00000 cents 5: 1 914.00000 cents 5: 1 923.00000 cents 6: 1 1041.00000 cents 6: 1 1052.00000 cents 6: 1 1064.00000 cents 6: 1 1065.00000 cents 6: 1 1067.00000 cents 6: 1 1080.00000 cents 6: 1 1085.00000 cents 6: 1 1111.00000 cents 6: 1 1125.00000 cents 7: 1 1216.00000 cents 7: 1 1227.00000 cents 7: 1 1231.00000 cents 7: 1 1243.00000 cents 7: 1 1264.00000 cents 7: 1 1274.00000 cents 7: 1 1277.00000 cents 7: 1 1286.00000 cents 7: 1 1287.00000 cents 8: 1 1393.00000 cents 8: 1 1413.00000 cents 8: 1 1418.00000 cents 8: 1 1436.00000 cents 8: 1 1440.00000 cents 8: 1 1449.00000 cents 8: 1 1452.00000 cents 8: 1 1453.00000 cents 8: 1 1466.00000 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 9.00000 = 9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 222.0 388.0 551.0 726.0 923.0 1125.0 1274.0 1453.0 1615.0 222.0 : 166.0 329.0 504.0 701.0 903.0 1052.0 1231.0 1393.0 1615.0 388.0 : 163.0 338.0 535.0 737.0 886.0 1065.0 1227.0 1449.0 1615.0 551.0 : 175.0 372.0 574.0 723.0 902.0 1064.0 1286.0 1452.0 1615.0 726.0 : 197.0 399.0 548.0 727.0 889.0 1111.0 1277.0 1440.0 1615.0 923.0 : 202.0 351.0 530.0 692.0 914.0 1080.0 1243.0 1418.0 1615.0 1125.0: 149.0 328.0 490.0 712.0 878.0 1041.0 1216.0 1413.0 1615.0 1274.0: 179.0 341.0 563.0 729.0 892.0 1067.0 1264.0 1466.0 1615.0 1453.0: 162.0 384.0 550.0 713.0 888.0 1085.0 1287.0 1436.0 1615.0 1615.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 149.0000 .. 222.0000 cents 73.00000 cents 149.00000 cents 2: 328.0000 .. 399.0000 cents 71.00000 cents 106.00000 cents 3: 490.0000 .. 574.0000 cents 84.00000 cents 91.00000 cents 4: 692.0000 .. 737.0000 cents 45.00000 cents 118.00000 cents 5: 878.0000 .. 923.0000 cents 45.00000 cents 141.00000 cents 6: 1041.0000 .. 1125.0000 cents 84.00000 cents 118.00000 cents 7: 1216.0000 .. 1287.0000 cents 71.00000 cents 91.00000 cents 8: 1393.0000 .. 1466.0000 cents 73.00000 cents 106.00000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 149.00000 cents, class 1 Average step (divided formal octave): 179.4444 cents Largest one step interval : 222.00000 cents Average / Smallest step : 1.204325 Largest / Average step : 1.237152 Largest / Smallest step : 1.489933 Median interval of one step : 175.00000 cents, amount: 1 Least squares average step : 182.44561 cents, oct.: 1642.01053 cents Scale is strictly proper Scale is a mode of a 1615-tone equal temperament with octave 1615.000 cents degrees: 222 388 551 726 923 1125 1274 1453 1615 Least number of segments generator : 808 of 808.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1256 of 1256.000 cents and inv. generated superset size: 436 = 427 more = 4844.444% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGHI Step pattern size order : IDCEGHAFB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 91.00000 cents Scale diversity : 0.656184 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.661920 Rothenberg efficiency : 0.222222 redundancy: 0.777778 Efficiency x scale size : 2.000000 Number of different interval sizes : 72 = 9.00000 / class Number of one step interval sizes : 9 Highest interval variety : 9 Mean interval variety : 9.00000 = 9 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 4, average 704.5000 cents Number of recognisable fourths : 2, average 497.0000 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 = 11.1111% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 84.0000 cents: 1 6 -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 26.8978 c. M: 48.3333 c. Pelog Nawanada: Sunda 14: 2 1 2 1 2 2 1 2 1 P M ME S SD: 27.2086 c. M:-46.6429 c. 17: 2 2 2 2 2 2 1 2 2 SP M ME S SD: 25.5256 c. M: 39.0000 c. 20: 3 2 2 2 2 3 2 2 2 SP M ME S SD: 16.4107 c. M: 34.7500 c. Rothenberg Generalized Diatonic 21: 3 2 2 2 3 3 2 2 2 P D3 S SD: 19.4150 c. M: 33.8571 c. 23: 3 3 2 2 3 3 2 3 2 SP D3 S SD: 16.9758 c. M:-33.3043 c. 24: 3 3 2 3 3 3 2 3 2 SP D3 SD: 16.7043 c. M:-27.4167 c. 28: 4 3 3 3 3 4 2 3 3 SP D3 SD: 16.7339 c. M:-28.5714 c. 29: 4 3 3 3 4 3 3 3 3 SP M ME S SD: 9.4518 c. M:-23.7241 c. 32: 4 4 3 3 4 4 3 4 3 SP D3 S SD: 13.9005 c. M: 20.1250 c. 33: 5 3 3 4 4 4 3 4 3 SP D3 SD: 10.7168 c. M:-22.6970 c. 37: 5 4 4 4 4 5 3 4 4 SP D3 SD: 10.1549 c. M:-16.4324 c. 38: 5 4 4 4 5 4 4 4 4 SP M ME S SD: 9.0921 c. M: 20.0000 c. 42: 6 4 4 5 5 5 4 5 4 SP D3 SD: 7.1495 c. M: 12.6667 c. 49: 7 5 5 5 6 6 5 5 5 SP D3 S SD: 6.4721 c. M:-11.4082 c. 53: 7 6 5 6 6 7 5 6 5 SP SD: 6.5612 c. M:-9.6415 c. 58: 8 6 6 6 7 7 6 6 6 SP D3 S SD: 5.3560 c. M: 11.2069 c. 67: 9 7 7 7 8 9 6 7 7 SP SD: 4.9512 c. M:-7.9104 c. 73: 10 8 7 8 9 9 7 8 7 SP SD: 5.8647 c. M:-10.2192 c. 76: 10 8 8 8 9 10 7 8 8 SP SD: 5.6483 c. M: 9.5000 c. 79: 11 8 8 9 9 10 7 9 8 SP SD: 4.2580 c. M:-9.9494 c. 80: 11 8 8 9 10 10 7 9 8 SP SD: 3.6884 c. M: 5.9375 c. 82: 11 9 8 9 10 10 8 9 8 SP SD: 3.9698 c. M:-6.1829 c. 89: 12 9 9 10 11 11 8 10 9 SP SD: 3.8283 c. M: 6.9326 c. 96: 13 10 10 10 12 12 9 10 10 SP SD: 3.4199 c. M: 6.2292 c. 100: 14 10 10 11 12 13 9 11 10 SP SD: 2.6049 c. M:-5.5000 c. 103: 14 11 10 11 13 13 9 12 10 SP SD: 3.5277 c. M:-5.2039 c. 108: 15 11 11 12 13 13 10 12 11 SP SD: 3.3404 c. M:-6.7315 c. 109: 15 11 11 12 13 14 10 12 11 SP SD: 2.0219 c. M: 4.3761 c. 129: 18 13 13 14 16 16 12 14 13 SP SD: 1.9867 c. M:-3.4341 c. 138: 19 14 14 15 17 17 13 15 14 SP SD: 1.2970 c. M: 1.8406 c. 238: 33 24 24 26 29 30 22 26 24 SP SD: 1.1914 c. M:-1.9286 c. 247: 34 25 25 27 30 31 23 27 25 SP SD: 1.1878 c. M: 2.2308 c. 261: 36 27 26 28 32 33 24 29 26 SP SD: 1.1674 c. M: 2.0345 c. 270: 37 28 27 29 33 34 25 30 27 SP SD: 1.0819 c. M: 2.2407 c. 299: 41 31 30 32 37 37 28 33 30 SP SD: 1.0144 c. M: 2.2207 c. 320: 44 33 32 35 39 40 29 36 32 SP SD: 0.9010 c. M: 2.1875 c. 322: 44 33 33 35 39 40 30 36 32 SP SD: 1.1380 c. M: 1.8043 c. 329: 45 34 33 36 40 41 30 37 33 SP SD: 1.0868 c. M: 2.6170 c. 332: 46 34 33 36 41 41 31 37 33 SP SD: 1.2154 c. M:-1.7651 c. 336: 46 35 34 36 41 42 31 37 34 SP SD: 0.9358 c. M:-1.7530 c. 340: 47 35 34 37 41 43 31 38 34 SP SD: 0.9682 c. M:-1.5000 c. 349: 48 36 35 38 42 44 32 39 35 SP SD: 0.9276 c. M: 2.1261 c. 350: 48 36 35 38 43 44 32 39 35 SP SD: 0.9263 c. M: 1.9000 c. 369: 51 38 37 40 45 46 34 41 37 SP SD: 0.7235 c. M:-1.5257 c. 378: 52 39 38 41 46 47 35 42 38 SP SD: 0.6109 c. M: 1.3360 c. 392: 54 40 40 42 48 49 36 44 39 SP SD: 0.7783 c. M:-1.3240 c. 399: 55 41 40 43 49 50 37 44 40 SP SD: 0.6871 c. M: 1.4762 c. 408: 56 42 41 44 50 51 38 45 41 SP SD: 0.7459 c. M: 1.6250 c. 416: 57 43 42 45 51 52 38 46 42 SP SD: 0.6487 c. M: 1.0529 c. 458: 63 47 46 50 56 57 42 51 46 SP SD: 0.5698 c. M: 1.0415 c. 478: 66 49 48 52 58 60 44 53 48 SP SD: 0.4737 c. M:-0.9916 c. 487: 67 50 49 53 59 61 45 54 49 SP SD: 0.5535 c. M: 1.0903 c. 507: 70 52 51 55 62 63 47 56 51 SP SD: 0.5321 c. M:-0.9783 c. 574: 79 59 58 62 70 72 53 63 58 SP SD: 0.5061 c. M: 1.1882 c. 607: 83 63 61 66 74 76 56 67 61 SP SD: 0.5045 c. M: 1.1680 c. 616: 85 63 62 67 75 77 57 68 62 SP SD: 0.3918 c. M:-0.8490 c. 619: 85 64 62 67 76 77 57 69 62 SP SD: 0.5386 c. M: 0.7851 c. 625: 86 64 63 68 76 78 58 69 63 SP SD: 0.5174 c. M: 0.9600 c. 649: 89 67 65 71 79 81 60 72 65 SP SD: 0.4697 c. M: 1.0539 c. 686: 94 71 69 74 84 86 63 76 69 SP SD: 0.4670 c. M: 0.8980 c. 712: 98 73 72 77 87 89 66 79 71 SP SD: 0.4326 c. M:-0.9537 c. 719: 99 74 72 78 88 90 66 80 72 SP SD: 0.4198 c. M: 0.6871 c. 721: 99 74 73 78 88 90 67 80 72 SP SD: 0.4070 c. M:-0.7240 c. 728: 100 75 73 79 89 91 67 81 73 SP SD: 0.4226 c. M: 0.8352 c. 758: 104 78 77 82 92 95 70 84 76 SP SD: 0.3967 c. M:-0.8272 c. 777: 107 80 78 84 95 97 72 86 78 SP SD: 0.3877 c. M:-0.6808 c. 838: 115 86 85 91 102 105 77 93 84 SP SD: 0.3595 c. M: 0.6313 c. 857: 118 88 86 93 105 107 79 95 86 SP SD: 0.3509 c. M: 0.7316 c. 866: 119 89 87 94 106 108 80 96 87 SP SD: 0.3983 c. M: 0.8557 c. 886: 122 91 89 96 108 111 82 98 89 SP SD: 0.3909 c. M: 0.6637 c. 887: 122 91 90 96 108 111 82 98 89 SP SD: 0.3469 c. M:-0.6855 c. 894: 123 92 90 97 109 112 82 99 90 SP SD: 0.3283 c. M: 0.5839 c. 896: 123 92 91 97 109 112 83 99 90 SP SD: 0.3368 c. M:-0.5513 c. 966: 133 99 98 104 118 121 89 107 97 SP SD: 0.3156 c. M:-0.7081 c. 990: 136 102 100 107 121 124 91 110 99 SP SD: 0.3266 c. M:-0.6061 c. 996: 137 102 101 108 121 125 92 110 100 SP SD: 0.3347 c. M:-0.4880 c. 999: 137 103 101 108 122 125 92 111 100 SP SD: 0.2416 c. M: 0.5235 c. 1108: 152 114 112 120 135 139 102 123 111 SP SD: 0.2435 c. M: 0.4477 c. 1128: 155 116 114 122 138 141 104 125 113 SP SD: 0.2390 c. M:-0.4707 c. 1137: 156 117 115 123 139 142 105 126 114 SP SD: 0.1992 c. M: 0.4169 c. 1157: 159 119 117 125 141 145 107 128 116 SP SD: 0.2256 c. M:-0.4123 c. 1179: 162 121 119 128 144 147 109 131 118 SP SD: 0.2570 c. M: 0.3902 c. 1199: 165 123 121 130 146 150 111 133 120 SP SD: 0.2251 c. M:-0.3653 c. 1237: 170 127 125 134 151 155 114 137 124 SP SD: 0.1867 c. M:-0.4082 c. 1246: 171 128 126 135 152 156 115 138 125 SP SD: 0.2143 c. M: 0.4518 c. 1377: 189 142 139 149 168 172 127 153 138 SP SD: 0.2059 c. M: 0.3333 c. 1424: 196 146 144 154 174 178 131 158 143 SP SD: 0.2020 c. M: 0.3729 c. 1468: 202 151 148 159 179 184 135 163 147 SP SD: 0.2316 c. M:-0.4394 c. 1477: 203 152 149 160 180 185 136 164 148 SP SD: 0.1212 c. M:-0.1720 c. 1615: 222 166 163 175 197 202 149 179 162 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 x 3 S SD: 148.1715 cents 2 x x x 3 x x 4 x 5 S SD: 27.6427 cents 3 x x 4 x 5 x 6:7:8 S SD: 25.9709 cents 4 x 5 x 6:7 x 8:9:10 S SD: 17.7871 cents 5 x 6:7:8:9 x 10:12:13 S SD: 26.2654 cents 6:7 x 8:9:10 x 13:14:15 SD: 15.6973 cents 7:8:9:10:11:12:13:15:16:18 SD: 13.9670 cents 8:9:10:11:12:14:15:17:19:20 SD: 10.0124 cents 11:13:14:15:17:19:21:23:25:28 SD: 9.8989 cents 12:14:15:17:18:20:23:25:28:31 SD: 9.8038 cents 13:15:16:18:20:22:25:27:30:33 SD: 5.3616 cents 16:18:20:22:24:27:31:33:37:41 SD: 5.2511 cents 21:24:26:29:32:36:40:44:49:53 SD: 3.6287 cents 23:26:29:32:35:39:44:48:53:58 SD: 3.5685 cents 27:31:34:37:41:46:52:56:62:69 SD: 3.4259 cents 29:33:36:40:44:49:56:61:67:74 SD: 3.3335 cents 31:35:39:43:47:53:59:65:72:79 SD: 3.0725 cents 35:40:44:48:53:60:67:73:81:89 SD: 2.0264 cents 37:42:46:51:56:63:71:77:86:94 SD: 1.9737 cents 44:50:55:60:67:75:84:92:102:112 SD: 1.7817 cents 48:55:60:66:73:82:92:100:111:122 SD: 1.6572 cents 57:65:71:78:87:97:109:119:132:145 SD: 1.5955 cents 58:66:73:80:88:99:111:121:134:147 SD: 1.5837 cents 59:67:74:81:90:101:113:123:137:150 SD: 1.3410 cents 67:76:84:92:102:114:128:140:155:170 SD: 0.9512 cents 80:91:100:110:122:136:153:167:185:203 SD: 0.8688 cents 88:100:110:121:134:150:169:184:204:224 SD: 0.7985 cents 96:109:120:132:146:164:184:200:222:244 SD: 0.7023 cents 104:118:130:143:158:177:199:217:241:264 SD: 0.6640 cents 115:131:144:158:175:196:220:240:266:292 SD: 0.5524 cents 131:149:164:180:199:223:251:273:303:333 SD: 0.5135 cents 139:158:174:191:211:237:266:290:322:353 SD: 0.5009 cents 152:173:190:209:231:259:291:317:352:386 SD: 0.4308 cents 190:216:238:261:289:324:364:397:440:483 SD: 0.3637 cents 203:231:254:279:309:346:389:424:470:516 SD: 0.2987 cents 219:249:274:301:333:373:419:457:507:557 SD: 0.2803 cents 227:258:284:312:345:387:435:474:525:577 SD: 0.2688 cents 286:325:358:393:435:487:548:597:662:727 SD: 0.2373 cents 307:349:384:422:467:523:588:641:711:780 SD: 0.1776 cents 366:416:458:503:557:624:701:764:847:930 SD: 0.1681 cents 403:458:504:554:613:687:772:841:933:1024 SD: 0.1531 cents 446:507:558:613:678:760:854:931:1032:1134 SD: 0.1531 cents 470:534:588:646:715:801:900:981:1088:1195 SD: 0.1426 cents 497:565:622:683:756:847:952:1037:1150:1263 SD: 0.1422 cents 505:574:632:694:768:861:967:1054:1169:1284 SD: 0.1380 cents 518:589:648:712:788:883:992:1081:1199:1317 SD: 0.1088 cents 541:615:677:744:823:922:1036:1129:1252:1375 SD: 0.1034 cents