Scala analysis: Georgia_Synoptic_All-M
Synoptic All-M (Voice), Georgia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 176.000 cents 176.000000 2: 342.000 cents 342.000000 3: 509.000 cents 509.000000 4: 705.000 cents 705.000000 5: 886.000 cents 886.000000 6: 1052.000 cents 1052.000000 7: 1231.000 cents 1231.000000 8: 1411.000 cents 1411.000000 9: 1601.000 cents 1601.000000
SHOW/INTERVAL
0: 190.0000 cents 190.0000 1: 176.0000 cents 176.0000 2: 166.0000 cents 166.0000 3: 167.0000 cents 167.0000 4: 196.0000 cents 196.0000 5: 181.0000 cents 181.0000 6: 166.0000 cents 166.0000 7: 179.0000 cents 179.0000 8: 180.0000 cents 180.0000 9: 190.0000 cents 190.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 166.00000 cents 1: 1 167.00000 cents 1: 1 176.00000 cents 1: 1 179.00000 cents 1: 1 180.00000 cents 1: 1 181.00000 cents 1: 1 190.00000 cents 1: 1 196.00000 cents 2: 1 333.00000 cents 2: 1 342.00000 cents 2: 1 345.00000 cents 2: 1 347.00000 cents 2: 1 359.00000 cents 2: 1 363.00000 cents 2: 1 366.00000 cents 2: 1 370.00000 cents 2: 1 377.00000 cents 3: 1 509.00000 cents 3: 1 525.00000 cents 3: 1 526.00000 cents 3: 1 529.00000 cents 3: 1 532.00000 cents 3: 1 543.00000 cents 3: 1 544.00000 cents 3: 1 546.00000 cents 3: 1 549.00000 cents 4: 1 699.00000 cents 4: 1 705.00000 cents 4: 1 706.00000 cents 4: 2 710.00000 cents 4: 1 712.00000 cents 4: 1 715.00000 cents 4: 1 722.00000 cents 4: 1 725.00000 cents 5: 1 876.00000 cents 5: 1 879.00000 cents 5: 1 886.00000 cents 5: 1 889.00000 cents 5: 2 891.00000 cents 5: 1 895.00000 cents 5: 1 896.00000 cents 5: 1 902.00000 cents 6: 1 1052.00000 cents 6: 1 1055.00000 cents 6: 1 1057.00000 cents 6: 1 1058.00000 cents 6: 1 1069.00000 cents 6: 1 1072.00000 cents 6: 1 1075.00000 cents 6: 1 1076.00000 cents 6: 1 1092.00000 cents 7: 1 1224.00000 cents 7: 1 1231.00000 cents 7: 1 1235.00000 cents 7: 1 1238.00000 cents 7: 1 1242.00000 cents 7: 1 1254.00000 cents 7: 1 1256.00000 cents 7: 1 1259.00000 cents 7: 1 1268.00000 cents 8: 1 1405.00000 cents 8: 1 1411.00000 cents 8: 1 1420.00000 cents 8: 1 1421.00000 cents 8: 1 1422.00000 cents 8: 1 1425.00000 cents 8: 1 1434.00000 cents 8: 2 1435.00000 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 : 176.0 342.0 509.0 705.0 886.0 1052.0 1231.0 1411.0 1601.0 176.0 : 166.0 333.0 529.0 710.0 876.0 1055.0 1235.0 1425.0 1601.0 342.0 : 167.0 363.0 544.0 710.0 889.0 1069.0 1259.0 1435.0 1601.0 509.0 : 196.0 377.0 543.0 722.0 902.0 1092.0 1268.0 1434.0 1601.0 705.0 : 181.0 347.0 526.0 706.0 896.0 1072.0 1238.0 1405.0 1601.0 886.0 : 166.0 345.0 525.0 715.0 891.0 1057.0 1224.0 1420.0 1601.0 1052.0: 179.0 359.0 549.0 725.0 891.0 1058.0 1254.0 1435.0 1601.0 1231.0: 180.0 370.0 546.0 712.0 879.0 1075.0 1256.0 1422.0 1601.0 1411.0: 190.0 366.0 532.0 699.0 895.0 1076.0 1242.0 1421.0 1601.0 1601.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 166.0000 .. 196.0000 cents 30.00000 cents 166.00000 cents 2: 333.0000 .. 377.0000 cents 44.00000 cents 137.00000 cents 3: 509.0000 .. 549.0000 cents 40.00000 cents 132.00000 cents 4: 699.0000 .. 725.0000 cents 26.00000 cents 150.00000 cents 5: 876.0000 .. 902.0000 cents 26.00000 cents 151.00000 cents 6: 1052.0000 .. 1092.0000 cents 40.00000 cents 150.00000 cents 7: 1224.0000 .. 1268.0000 cents 44.00000 cents 132.00000 cents 8: 1405.0000 .. 1435.0000 cents 30.00000 cents 137.00000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 166.00000 cents, class 1 Average step (divided formal octave): 177.8889 cents Largest one step interval : 196.00000 cents Average / Smallest step : 1.071620 Largest / Average step : 1.101811 Largest / Smallest step : 1.180723 Median interval of one step : 179.00000 cents, amount: 1 Most common interval of one step : 166.00000 cents, amount: 2 Least squares average step : 176.36140 cents, oct.: 1587.25263 cents Scale is strictly proper Scale is a mode of a 1601-tone equal temperament with octave 1601.000 cents degrees: 176 342 509 705 886 1052 1231 1411 1601 Least number of segments generator : 801 of 801.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1423 of 1423.000 cents and inv. generated superset size: 223 = 214 more = 2477.778% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEBFGH Step pattern size order : CABHFADEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 132.00000 cents Scale diversity : 0.616606 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.825109 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 : 7, average 708.1429 cents Number of appreciable fifths : 6, average 707.0000 cents Number of recognisable fourths : 1, average 509.0000 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 40.0000 cents: 1 4 5 8 Limited inverse transpositions with margin 37.0000 cents: 2 3 4 7 8 -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 12.6524 c. M:-24.6667 c. Pelog Nawanada: Sunda 31: 3 4 3 4 3 3 4 3 4 SP M ME S SD: 14.8376 c. M: 21.0645 c. 32: 4 3 3 4 4 3 4 3 4 SP D3 S SD: 12.7084 c. M:-24.1250 c. 34: 4 3 4 4 4 3 4 4 4 SP M ME S SD: 9.2436 c. M: 16.0588 c. 38: 4 4 4 5 4 4 4 4 5 SP M ME S SD: 9.0222 c. M: 20.6579 c. 43: 5 4 5 5 5 4 5 5 5 SP M ME S SD: 7.2624 c. M:-12.2558 c. 47: 5 5 5 6 5 5 5 5 6 SP M ME S SD: 6.5812 c. M: 14.3830 c. 52: 6 5 6 6 6 5 6 6 6 SP M ME S SD: 6.7226 c. M:-14.4038 c. 53: 6 5 6 6 6 6 6 6 6 SP M ME S SD: 7.5084 c. M: 10.2264 c. 56: 6 6 6 7 6 6 6 6 7 SP M ME S SD: 5.6397 c. M: 10.1250 c. 61: 7 6 6 8 7 6 7 7 7 SP SD: 5.4902 c. M: 10.3279 c. 65: 7 7 7 8 7 7 7 7 8 SP M ME S SD: 5.5416 c. M:-9.2923 c. 70: 8 7 7 9 8 7 8 8 8 SP SD: 4.7321 c. M:-7.0286 c. 79: 9 8 8 10 9 8 9 9 9 SP SD: 4.6202 c. M:-7.6076 c. 85: 9 9 9 10 10 9 9 10 10 SP D3 S SD: 4.3775 c. M: 8.0941 c. 88: 10 9 9 11 10 9 10 10 10 SP SD: 4.8566 c. M:-8.0682 c. 90: 10 9 10 11 10 9 10 10 11 SP T3 SD: 4.3816 c. M:-6.8778 c. 91: 10 9 10 11 10 10 10 10 11 SP D3 S SD: 3.7791 c. M: 7.7253 c. 94: 10 10 10 11 11 10 10 11 11 SP D3 S SD: 3.7684 c. M: 6.6915 c. 98: 11 10 10 12 11 10 11 11 12 SP SD: 4.1289 c. M: 6.4490 c. 99: 11 10 10 13 11 10 11 11 12 SP SD: 4.0009 c. M: 7.6768 c. 100: 11 10 11 12 11 11 11 11 12 SP D3 S SD: 3.3980 c. M: 5.7900 c. 103: 11 11 11 12 12 11 11 12 12 SP D3 S SD: 3.6124 c. M: 5.5340 c. 107: 12 11 11 13 12 11 12 12 13 SP SD: 3.1420 c. M: 4.6168 c. 116: 13 12 12 14 13 12 13 13 14 SP SD: 2.5610 c. M:-3.4224 c. 125: 14 13 13 15 14 13 14 14 15 SP SD: 2.3923 c. M:-3.8160 c. 126: 14 13 13 16 14 13 14 14 15 SP SD: 2.7822 c. M:-6.5556 c. 134: 15 14 14 16 15 14 15 15 16 SP SD: 2.5474 c. M:-4.7537 c. 135: 15 14 14 17 15 14 15 15 16 SP SD: 2.9945 c. M:-6.5556 c. 136: 15 14 14 17 15 14 16 15 16 SP SD: 2.7213 c. M:-5.0662 c. 143: 16 15 14 18 16 15 16 16 17 SP SD: 2.6970 c. M: 5.1888 c. 145: 16 15 15 18 16 15 16 17 17 SP SD: 2.4855 c. M: 5.4069 c. 152: 17 15 16 19 17 16 17 17 18 SP SD: 2.3854 c. M: 4.9474 c. 154: 17 16 16 19 17 16 17 18 18 SP SD: 2.1445 c. M: 4.2597 c. 161: 18 16 17 20 18 17 18 18 19 SP SD: 2.0904 c. M: 3.9006 c. 163: 18 17 17 20 18 17 18 19 19 SP SD: 2.0730 c. M:-3.3804 c. 170: 19 17 18 21 19 18 19 19 20 SP SD: 2.0462 c. M: 2.9647 c. 173: 19 18 18 21 20 18 19 19 21 SP SD: 2.0184 c. M: 4.3410 c. 177: 19 19 18 22 20 18 20 20 21 SP SD: 1.9717 c. M: 4.1412 c. 186: 20 20 19 23 21 19 21 21 22 SP SD: 1.7129 c. M: 3.8495 c. 195: 21 21 20 24 22 20 22 22 23 SP SD: 1.6787 c. M: 3.5846 c. 202: 22 21 21 25 23 21 22 23 24 SP SD: 1.5278 c. M: 2.5099 c. 211: 23 22 22 26 24 22 23 24 25 SP SD: 1.3728 c. M:-2.6872 c. 220: 24 23 23 27 25 23 24 25 26 SP SD: 1.4266 c. M:-3.2045 c. 221: 24 23 23 27 25 23 25 25 26 SP SD: 1.6997 c. M: 2.2986 c. 229: 25 24 24 28 26 23 26 26 27 SP SD: 1.5371 c. M: 3.3100 c. 230: 25 24 24 28 26 24 26 26 27 SP SD: 1.4677 c. M:-2.0565 c. 239: 26 25 25 29 27 25 27 27 28 SP SD: 1.4049 c. M:-2.4351 c. 268: 29 28 28 33 30 28 30 30 32 SP SD: 1.3603 c. M: 2.7575 c. 271: 30 28 28 33 31 28 30 31 32 SP SD: 1.1843 c. M: 2.1882 c. 277: 30 29 29 34 31 29 31 31 33 SP SD: 1.1235 c. M: 2.6065 c. 280: 31 29 29 34 32 29 31 32 33 SP SD: 1.0640 c. M: 1.7036 c. 286: 31 30 30 35 32 30 32 32 34 SP SD: 1.0297 c. M: 2.4650 c. 289: 32 30 30 35 33 30 32 33 34 SP SD: 1.0967 c. M:-1.6471 c. 295: 32 31 31 36 33 31 33 33 35 SP SD: 1.0855 c. M: 2.3322 c. 309: 34 32 32 38 35 32 35 34 37 SP SD: 1.0105 c. M:-2.1327 c. 318: 35 33 33 39 36 33 36 35 38 SP SD: 0.9639 c. M:-2.4748 c. 320: 35 33 34 39 36 33 36 36 38 SP SD: 0.9425 c. M: 1.7875 c. 327: 36 34 34 40 37 34 36 37 39 SP SD: 0.8410 c. M: 2.0979 c. 336: 37 35 35 41 38 35 37 38 40 SP SD: 0.8334 c. M: 1.6607 c. 345: 38 36 36 42 39 36 38 39 41 SP SD: 0.9488 c. M:-1.4638 c. 347: 38 36 36 43 39 36 39 39 41 SP SD: 0.7693 c. M: 1.4784 c. 356: 39 37 37 44 40 37 40 40 42 SP SD: 0.7521 c. M:-1.2303 c. 365: 40 38 38 45 41 38 41 41 43 SP SD: 0.8578 c. M:-1.5507 c. 390: 43 40 41 48 44 40 44 44 46 SP SD: 0.8429 c. M: 1.2744 c. 406: 45 42 42 50 46 42 45 46 48 SP SD: 0.9065 c. M:-1.4507 c. 411: 45 43 43 50 46 43 46 46 49 SP SD: 0.8627 c. M: 1.7494 c. 412: 45 43 43 50 47 43 46 46 49 SP SD: 0.8200 c. M: 1.6481 c. 437: 48 45 46 53 50 45 49 49 52 SP SD: 0.7564 c. M: 1.5858 c. 446: 49 46 47 54 51 46 50 50 53 SP SD: 0.6783 c. M: 1.4215 c. 454: 50 47 47 56 51 47 51 51 54 SP SD: 0.6570 c. M: 1.1938 c. 463: 51 48 48 57 52 48 52 52 55 SP SD: 0.4908 c. M: 0.8035 c. 472: 52 49 49 58 53 49 53 53 56 SP SD: 0.4251 c. M: 0.7013 c. 566: 62 59 59 69 64 59 63 64 67 SP SD: 0.4647 c. M: 0.6731 c. 575: 63 60 60 70 65 60 64 65 68 SP SD: 0.5032 c. M:-0.6643 c. 598: 66 62 62 73 68 62 67 67 71 SP SD: 0.4940 c. M: 0.8813 c. 627: 69 65 65 77 71 65 70 71 74 SP SD: 0.4755 c. M:-1.0463 c. 636: 70 66 66 78 72 66 71 72 75 SP SD: 0.4665 c. M:-1.2028 c. 645: 71 67 67 79 73 67 72 72 77 SP SD: 0.4572 c. M: 1.1271 c. 674: 74 70 70 83 76 70 75 76 80 SP SD: 0.3549 c. M: 0.6706 c. 683: 75 71 71 84 77 71 76 77 81 SP SD: 0.3189 c. M:-0.5652 c. 692: 76 72 72 85 78 72 77 78 82 SP SD: 0.3645 c. M:-0.6806 c. 866: 95 90 90 106 98 90 97 97 103 SP SD: 0.3879 c. M: 0.6339 c. 874: 96 91 91 107 99 90 98 98 104 SP SD: 0.3870 c. M:-0.5950 c. 875: 96 91 91 107 99 91 98 98 104 SP SD: 0.3331 c. M: 0.5600 c. 884: 97 92 92 108 100 92 99 99 105 SP SD: 0.3259 c. M:-0.5385 c. 900: 99 93 94 110 102 93 101 101 107 SP SD: 0.3613 c. M: 0.6767 c. 909: 100 94 95 111 103 94 102 102 108 SP SD: 0.2775 c. M: 0.5182 c. 918: 101 95 96 112 104 95 103 103 109 SP SD: 0.2373 c. M: 0.4205 c. 1026: 113 106 107 126 116 106 115 115 122 SP SD: 0.2820 c. M: 0.3723 c. 1035: 114 107 108 127 117 107 116 116 123 SP SD: 0.2541 c. M:-0.3681 c. 1044: 115 108 109 128 118 108 117 117 124 SP SD: 0.2719 c. M:-0.4215 c. 1053: 116 109 110 129 119 109 118 118 125 SP SD: 0.3261 c. M:-0.5385 c. 1072: 118 111 112 131 121 111 120 121 127 SP SD: 0.3131 c. M: 0.5970 c. 1104: 121 115 115 135 125 114 124 124 131 SP SD: 0.3003 c. M: 0.6187 c. 1111: 122 115 116 136 126 115 124 125 132 SP SD: 0.2778 c. M: 0.4725 c. 1120: 123 116 117 137 127 116 125 126 133 SP SD: 0.2090 c. M: 0.3580 c. 1129: 124 117 118 138 128 117 126 127 134 SP SD: 0.1777 c. M:-0.2932 c. 1485: 163 154 155 182 168 154 166 167 176 SP SD: 0.2001 c. M: 0.2673 c. 1554: 171 161 162 190 176 161 174 175 184 SP SD: 0.1990 c. M:-0.4350 c. 1574: 173 163 164 193 178 163 176 177 187 SP SD: 0.2170 c. M: 0.4231 c. 1583: 174 164 165 194 179 164 177 178 188 SP SD: 0.1439 c. M: 0.2805 c. 1592: 175 165 166 195 180 165 178 179 189 SP SD: 0.0715 c. M: 0.1394 c. 1601: 176 166 167 196 181 166 179 180 190 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 x 3 S SD: 151.2737 cents 2 x x x 3 x x 4 x 5 S SD: 11.4793 cents 3 x x 4 x 5 x 6:7:8 S SD: 23.3435 cents 4 x 5 x 6:7 x 8:9:10 S SD: 16.7166 cents 5 x 6:7 x 8:9:10:11:13 SD: 19.3886 cents 6 x 7:8:9:10:11:12:14:15 S SD: 12.5509 cents 7:8 x 9:11:12:13:14:16:18 SD: 17.5231 cents 8:9:10:11:12:13:15:16:18:20 SD: 10.6301 cents 9:10:11:12:14:15:17:18:20:23 SD: 10.2517 cents 10:11:12:13:15:17:18:20:23:25 SD: 10.0682 cents 12:13:15:16:18:20:22:24:27:30 SD: 7.6420 cents 17:19:21:23:26:28:31:35:38:43 SD: 6.4333 cents 18:20:22:24:27:30:33:37:41:45 SD: 3.3245 cents 27:30:33:36:41:45:50:55:61:68 SD: 3.0353 cents 36:40:44:48:54:60:66:73:81:91 SD: 2.0181 cents 46:51:56:62:69:77:84:94:104:116 SD: 1.7343 cents 50:55:61:67:75:83:92:102:113:126 SD: 1.7195 cents 54:60:66:72:81:90:99:110:122:136 SD: 1.6232 cents 55:61:67:74:83:92:101:112:124:139 SD: 1.3112 cents 73:81:89:98:110:122:134:149:165:184 SD: 0.9302 cents 96:106:117:129:144:160:176:195:217:242 SD: 0.8855 cents 102:113:124:137:153:170:187:208:230:257 SD: 0.8452 cents 105:116:128:141:158:175:193:214:237:265 SD: 0.6617 cents 111:123:135:149:167:185:204:226:251:280 SD: 0.5688 cents 123:136:150:165:185:205:226:250:278:310 SD: 0.5457 cents 159:176:194:213:239:265:292:324:359:401 SD: 0.4991 cents 169:187:206:227:254:282:310:344:382:426 SD: 0.3299 cents 225:249:274:302:338:375:413:458:508:567 SD: 0.2918 cents 243:269:296:326:365:405:446:495:549:613 SD: 0.2566 cents 251:278:306:337:377:419:461:511:567:633 SD: 0.2551 cents 298:330:363:400:448:497:547:607:673:751 SD: 0.2103 cents 316:350:385:424:475:527:580:643:714:797 SD: 0.2102 cents 362:401:441:486:544:604:665:737:818:913 SD: 0.2084 cents 366:405:446:491:550:611:672:745:827:923 SD: 0.1792 cents 422:467:514:566:634:704:775:859:953:1064 SD: 0.1642 cents 439:486:535:589:660:732:806:894:992:1107 SD: 0.1555 cents 468:518:570:628:703:781:859:953:1057:1180 SD: 0.1521 cents 476:527:580:639:715:794:874:969:1075:1200 SD: 0.1462 cents 494:547:602:663:742:824:907:1006:1116:1246 SD: 0.1373 cents 495:548:603:664:744:826:909:1008:1118:1248 SD: 0.1168 cents 591:654:720:793:888:986:1085:1203:1335:1490 SD: 0.1042 cents