Scala analysis: Georgia_Synoptic_All-H
Synoptic All-H (Voice), Georgia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 191.000 cents 191.000000 2: 355.000 cents 355.000000 3: 515.000 cents 515.000000 4: 707.000 cents 707.000000 5: 874.000 cents 874.000000 6: 1043.000 cents 1043.000000 7: 1217.000 cents 1217.000000 8: 1419.000 cents 1419.000000 9: 1586.000 cents 1586.000000
SHOW/INTERVAL
0: 167.0000 cents 167.0000 1: 191.0000 cents 191.0000 2: 164.0000 cents 164.0000 3: 160.0000 cents 160.0000 4: 192.0000 cents 192.0000 5: 167.0000 cents 167.0000 6: 169.0000 cents 169.0000 7: 174.0000 cents 174.0000 8: 202.0000 cents 202.0000 9: 167.0000 cents 167.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 160.00000 cents 1: 1 164.00000 cents 1: 2 167.00000 cents 1: 1 169.00000 cents 1: 1 174.00000 cents 1: 1 191.00000 cents 1: 1 192.00000 cents 1: 1 202.00000 cents 2: 1 324.00000 cents 2: 1 336.00000 cents 2: 1 343.00000 cents 2: 1 352.00000 cents 2: 1 355.00000 cents 2: 1 358.00000 cents 2: 1 359.00000 cents 2: 1 369.00000 cents 2: 1 376.00000 cents 3: 1 510.00000 cents 3: 1 515.00000 cents 3: 1 516.00000 cents 3: 1 519.00000 cents 3: 1 522.00000 cents 3: 1 528.00000 cents 3: 1 543.00000 cents 3: 1 545.00000 cents 3: 1 560.00000 cents 4: 1 682.00000 cents 4: 1 683.00000 cents 4: 1 688.00000 cents 4: 1 702.00000 cents 4: 1 707.00000 cents 4: 2 712.00000 cents 4: 1 724.00000 cents 4: 1 734.00000 cents 5: 1 852.00000 cents 5: 1 862.00000 cents 5: 2 874.00000 cents 5: 1 879.00000 cents 5: 1 884.00000 cents 5: 1 898.00000 cents 5: 1 903.00000 cents 5: 1 904.00000 cents 6: 1 1026.00000 cents 6: 1 1041.00000 cents 6: 1 1043.00000 cents 6: 1 1058.00000 cents 6: 1 1064.00000 cents 6: 1 1067.00000 cents 6: 1 1070.00000 cents 6: 1 1071.00000 cents 6: 1 1076.00000 cents 7: 1 1210.00000 cents 7: 1 1217.00000 cents 7: 1 1227.00000 cents 7: 1 1228.00000 cents 7: 1 1231.00000 cents 7: 1 1234.00000 cents 7: 1 1243.00000 cents 7: 1 1250.00000 cents 7: 1 1262.00000 cents 8: 1 1384.00000 cents 8: 1 1394.00000 cents 8: 1 1395.00000 cents 8: 1 1412.00000 cents 8: 1 1417.00000 cents 8: 2 1419.00000 cents 8: 1 1422.00000 cents 8: 1 1426.00000 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 8.50000 = 17/2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 191.0 355.0 515.0 707.0 874.0 1043.0 1217.0 1419.0 1586.0 191.0 : 164.0 324.0 516.0 683.0 852.0 1026.0 1228.0 1395.0 1586.0 355.0 : 160.0 352.0 519.0 688.0 862.0 1064.0 1231.0 1422.0 1586.0 515.0 : 192.0 359.0 528.0 702.0 904.0 1071.0 1262.0 1426.0 1586.0 707.0 : 167.0 336.0 510.0 712.0 879.0 1070.0 1234.0 1394.0 1586.0 874.0 : 169.0 343.0 545.0 712.0 903.0 1067.0 1227.0 1419.0 1586.0 1043.0: 174.0 376.0 543.0 734.0 898.0 1058.0 1250.0 1417.0 1586.0 1217.0: 202.0 369.0 560.0 724.0 884.0 1076.0 1243.0 1412.0 1586.0 1419.0: 167.0 358.0 522.0 682.0 874.0 1041.0 1210.0 1384.0 1586.0 1586.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 160.0000 .. 202.0000 cents 42.00000 cents 160.00000 cents 2: 324.0000 .. 376.0000 cents 52.00000 cents 122.00000 cents 3: 510.0000 .. 560.0000 cents 50.00000 cents 134.00000 cents 4: 682.0000 .. 734.0000 cents 52.00000 cents 122.00000 cents 5: 852.0000 .. 904.0000 cents 52.00000 cents 118.00000 cents 6: 1026.0000 .. 1076.0000 cents 50.00000 cents 122.00000 cents 7: 1210.0000 .. 1262.0000 cents 52.00000 cents 134.00000 cents 8: 1384.0000 .. 1426.0000 cents 42.00000 cents 122.00000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 160.00000 cents, class 1 Average step (divided formal octave): 176.2222 cents Largest one step interval : 202.00000 cents Average / Smallest step : 1.101389 Largest / Average step : 1.146280 Largest / Smallest step : 1.262500 Median interval of one step : 169.00000 cents, amount: 1 Most common interval of one step : 167.00000 cents, amount: 2 Least squares average step : 175.60351 cents, oct.: 1580.43158 cents Scale is strictly proper Scale is a mode of a 1586-tone equal temperament with octave 1586.000 cents degrees: 191 355 515 707 874 1043 1217 1419 1586 Least number of segments generator : 795 of 795.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 881 of 881.000 cents and inv. generated superset size: 283 = 274 more = 3144.444% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGHE Step pattern size order : FBAGCDEHC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 118.00000 cents Scale diversity : 0.661526 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.752837 Rothenberg efficiency : 0.234568 redundancy: 0.765432 Efficiency x scale size : 2.111111 Number of different interval sizes : 68 = 8.50000 / class Number of one step interval sizes : 8 Highest interval variety : 9 Mean interval variety : 8.50000 = 17/2 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 5, average 704.2000 cents Number of appreciable fifths : 4, average 708.2500 cents Number of recognisable fourths : 1, average 510.0000 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 transpositions with margin 45.0000 cents: 4 Limited inverse transpositions with margin 45.0000 cents: 2 5 6 -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 10.7046 c. M:-16.5556 c. Pelog Nawanada: Sunda 31: 4 3 3 4 3 3 4 4 3 SP D3 SD: 10.5577 c. M: 19.7742 c. 38: 5 4 3 5 4 4 4 5 4 SP T3 SD: 10.5172 c. M:-20.6316 c. 40: 5 4 4 5 4 4 5 5 4 SP D3 SD: 7.2154 c. M:-12.1500 c. 49: 6 5 5 6 5 5 6 6 5 SP D3 SD: 5.7013 c. M:-12.9592 c. 58: 7 6 6 7 6 6 7 7 6 SP D3 SD: 5.2112 c. M:-13.5172 c. 61: 7 7 6 7 7 6 7 8 6 SP D3 SD: 7.2034 c. M:-11.0000 c. 64: 8 6 7 7 7 7 7 8 7 SP SD: 6.8100 c. M: 13.1250 c. 65: 8 7 6 8 7 7 7 8 7 SP T3 SD: 5.0222 c. M:-11.0000 c. 66: 8 7 6 8 7 7 8 8 7 SP SD: 7.3714 c. M: 10.3636 c. 67: 8 7 7 8 7 7 7 9 7 SP SD: 4.0570 c. M: 9.7463 c. 74: 9 8 7 9 8 8 8 9 8 SP T3 SD: 4.7963 c. M:-9.3514 c. 76: 9 8 8 9 8 8 8 10 8 SP SD: 3.5259 c. M:-6.7105 c. 85: 10 9 9 10 9 9 9 11 9 SP SD: 3.4957 c. M:-7.4471 c. 102: 12 11 10 12 11 11 11 13 11 SP SD: 3.7851 c. M: 7.2941 c. 103: 12 11 10 13 11 11 11 13 11 SP SD: 3.7178 c. M: 6.8641 c. 106: 13 11 10 13 11 12 11 14 11 SP SD: 4.3652 c. M: 6.2830 c. 107: 13 11 11 13 11 11 12 14 11 SP SD: 3.0839 c. M: 5.4299 c. 115: 14 12 11 14 12 13 12 15 12 SP SD: 3.6387 c. M: 5.1478 c. 116: 14 12 12 14 12 12 13 15 12 SP SD: 2.6187 c. M:-4.5517 c. 125: 15 13 13 15 13 13 14 16 13 SP SD: 2.4556 c. M:-5.2080 c. 142: 17 15 14 17 15 15 16 18 15 SP SD: 2.2740 c. M: 4.2817 c. 151: 18 16 15 18 16 16 17 19 16 SP SD: 2.0311 c. M: 3.2781 c. 160: 19 17 16 19 17 17 18 20 17 SP SD: 2.0001 c. M: 3.2125 c. 172: 21 18 17 21 18 18 19 22 18 SP SD: 2.2442 c. M:-4.6163 c. 173: 21 18 17 21 18 19 19 22 18 SP SD: 1.9902 c. M: 3.0751 c. 181: 22 19 18 22 19 19 20 23 19 SP SD: 2.0857 c. M:-4.2597 c. 182: 22 19 18 22 19 20 20 23 19 SP SD: 1.9089 c. M:-3.0000 c. 190: 23 20 19 23 20 20 21 24 20 SP SD: 2.0693 c. M:-3.9368 c. 191: 23 20 19 23 20 21 21 24 20 SP SD: 1.9689 c. M:-3.6387 c. 193: 23 20 20 23 20 21 21 25 20 SP SD: 1.8483 c. M: 2.9326 c. 198: 24 20 20 24 21 21 22 25 21 SP SD: 1.6152 c. M: 2.5556 c. 207: 25 21 21 25 22 22 23 26 22 SP SD: 1.4632 c. M: 2.5556 c. 216: 26 22 22 26 23 23 24 27 23 SP SD: 1.4622 c. M: 2.5556 c. 227: 27 24 23 27 24 24 25 29 24 SP SD: 1.4773 c. M: 2.3568 c. 231: 28 24 23 28 24 25 25 30 24 SP SD: 1.4224 c. M:-2.2208 c. 240: 29 25 24 29 25 26 26 31 25 SP SD: 1.1799 c. M:-1.8500 c. 249: 30 26 25 30 26 27 27 32 26 SP SD: 1.0700 c. M:-1.6908 c. 258: 31 27 26 31 27 28 28 33 27 SP SD: 1.0986 c. M:-2.0388 c. 265: 32 27 27 32 28 28 29 34 28 SP SD: 1.1461 c. M: 2.0642 c. 274: 33 28 28 33 29 29 30 35 29 SP SD: 0.9679 c. M: 1.9124 c. 283: 34 29 29 34 30 30 31 36 30 SP SD: 0.9146 c. M: 1.9329 c. 323: 39 33 33 39 34 34 36 41 34 SP SD: 0.9071 c. M: 2.0341 c. 330: 40 34 33 40 35 35 36 42 35 SP SD: 0.8094 c. M:-1.2424 c. 339: 41 35 34 41 36 36 37 43 36 SP SD: 0.7200 c. M: 1.4248 c. 379: 46 39 38 46 40 40 42 48 40 SP SD: 0.7411 c. M:-1.4960 c. 388: 47 40 39 47 41 41 43 49 41 SP SD: 0.6875 c. M:-1.1186 c. 446: 54 46 45 54 47 47 49 57 47 SP SD: 0.7251 c. M: 1.0762 c. 447: 54 46 45 54 47 48 49 57 47 SP SD: 0.5747 c. M: 1.1678 c. 455: 55 47 46 55 48 48 50 58 48 SP SD: 0.6425 c. M:-0.9143 c. 456: 55 47 46 55 48 49 50 58 48 SP SD: 0.5167 c. M: 1.0044 c. 523: 63 54 53 63 55 56 57 67 55 SP SD: 0.4616 c. M: 0.9656 c. 532: 64 55 54 64 56 57 58 68 56 SP SD: 0.4409 c. M:-0.7481 c. 572: 69 59 58 69 60 61 63 73 60 SP SD: 0.4285 c. M:-0.7273 c. 581: 70 60 59 70 61 62 64 74 61 SP SD: 0.4246 c. M:-0.9277 c. 637: 77 66 64 77 67 68 70 81 67 SP SD: 0.4837 c. M:-1.0408 c. 646: 78 67 65 78 68 69 71 82 68 SP SD: 0.5035 c. M:-0.9907 c. 648: 78 67 65 79 68 69 71 83 68 SP SD: 0.4719 c. M: 1.0185 c. 657: 79 68 66 80 69 70 72 84 69 SP SD: 0.3669 c. M: 0.8174 c. 666: 80 69 67 81 70 71 73 85 70 SP SD: 0.3051 c. M: 0.6216 c. 880: 106 91 89 106 93 94 96 112 93 SP SD: 0.3849 c. M: 0.6114 c. 886: 107 91 90 107 93 95 97 113 93 SP SD: 0.4488 c. M:-0.6095 c. 889: 107 92 90 107 94 95 97 113 94 SP SD: 0.4299 c. M: 0.6985 c. 890: 107 92 90 108 93 95 98 113 94 SP SD: 0.4292 c. M: 0.8090 c. 893: 107 93 90 108 94 95 98 114 94 SP SD: 0.3977 c. M: 0.9642 c. 902: 109 93 91 109 95 96 99 115 95 SP SD: 0.2790 c. M:-0.6563 c. 911: 110 94 92 110 96 97 100 116 96 SP SD: 0.2277 c. M:-0.5038 c. 920: 111 95 93 111 97 98 101 117 97 SP SD: 0.2208 c. M:-0.4500 c. 1014: 122 105 102 123 107 108 111 129 107 SP SD: 0.2417 c. M: 0.4103 c. 1054: 127 109 106 128 111 112 116 134 111 SP SD: 0.2225 c. M: 0.3776 c. 1130: 136 117 114 137 119 120 124 144 119 SP SD: 0.2085 c. M:-0.4053 c. 1131: 136 117 114 137 119 121 124 144 119 SP SD: 0.2585 c. M: 0.3678 c. 1139: 137 118 115 138 120 121 125 145 120 SP SD: 0.2255 c. M:-0.4583 c. 1198: 144 124 121 145 126 128 131 153 126 SP SD: 0.2226 c. M: 0.3623 c. 1238: 149 128 125 150 130 132 136 158 130 SP SD: 0.2081 c. M:-0.4572 c. 1247: 150 129 126 151 131 133 137 159 131 SP SD: 0.1957 c. M:-0.3873 c. 1256: 151 130 127 152 132 134 138 160 132 SP SD: 0.2127 c. M: 0.3264 c. 1303: 157 135 131 158 137 139 143 166 137 SP SD: 0.1986 c. M:-0.4198 c. 1312: 158 136 132 159 138 140 144 167 138 SP SD: 0.2021 c. M:-0.3994 c. 1337: 161 138 135 162 141 142 147 170 141 SP SD: 0.1993 c. M: 0.3149 c. 1501: 181 155 151 182 158 160 165 191 158 SP SD: 0.1980 c. M: 0.4217 c. 1510: 182 156 152 183 159 161 166 192 159 SP SD: 0.1775 c. M: 0.3377 c. 1546: 186 160 156 187 163 165 169 197 163 SP SD: 0.1867 c. M: 0.3144 c. 1559: 188 161 157 189 164 166 171 199 164 SP SD: 0.1854 c. M: 0.2867 c. 1568: 189 162 158 190 165 167 172 200 165 SP SD: 0.1229 c. M: 0.1901 c. 1577: 190 163 159 191 166 168 173 201 166 SP SD: 0.0611 c. M: 0.0945 c. 1586: 191 164 160 192 167 169 174 202 167 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 x x S SD: 17.0000 cents 2 x x x 3 x x 4 x 5 S SD: 5.9119 cents 3 x x 4 x 5 x 6:7 x S SD: 13.6368 cents 4 x 5 x 6 x 7:8:9:10 S SD: 13.9688 cents 5 x 6:7 x 8:9:10:11:12 S SD: 19.4543 cents 6:7 x 8:9:10:11:12:14:15 S SD: 11.7246 cents 7:8 x 9:11:12:13:14:16:17 SD: 18.0900 cents 8:9:10:11:12:13:15:16:18:20 SD: 8.7334 cents 12:13:15:16:18:20:22:24:27:30 SD: 7.6228 cents 14:16:17:19:21:23:26:28:32:35 SD: 6.7180 cents 17:19:21:23:26:28:31:34:39:42 SD: 5.1587 cents 18:20:22:24:27:30:33:36:41:45 SD: 3.3687 cents 26:29:32:35:39:43:47:53:59:65 SD: 2.8081 cents 34:38:42:46:51:56:62:69:77:85 SD: 2.2457 cents 40:45:49:54:60:66:73:81:91:100 SD: 1.9716 cents 44:49:54:59:66:73:80:89:100:110 SD: 1.4935 cents 52:58:64:70:78:86:95:105:118:130 SD: 0.8532 cents 93:104:114:125:140:154:170:188:211:232 SD: 0.7042 cents 119:133:146:160:179:197:217:240:270:297 SD: 0.6405 cents 144:161:177:194:217:239:263:291:327:360 SD: 0.6183 cents 145:162:178:195:218:240:265:293:329:362 SD: 0.4328 cents 190:212:233:256:286:315:347:384:431:475 SD: 0.3736 cents 216:241:265:291:325:358:395:436:490:540 SD: 0.3610 cents 242:270:297:326:364:401:442:489:549:605 SD: 0.2400 cents 300:335:368:404:451:497:548:606:681:750 SD: 0.2061 cents 352:393:432:474:530:583:643:711:799:880 SD: 0.1906 cents 387:432:475:521:582:641:707:782:878:967 SD: 0.1776 cents 404:451:496:544:608:669:738:816:917:1010 SD: 0.1358 cents 496:554:609:668:746:822:906:1002:1126:1240 SD: 0.1269 cents 557:622:684:750:838:923:1017:1125:1264:1392 SD: 0.1224 cents