Scala analysis: erb10
erlich10 in 50/49 (-1,5) tuning; approximate pajara
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 108.337 cents 108.337097 2: 217.527 cents 217.526867 3: 325.864 cents 325.863964 4: 491.663 cents 491.662903 5: 600.000 cents 600.000000 6: 708.337 cents 708.337097 7: 817.527 cents 817.526867 8: 925.864 cents 925.863964 9: 1034.201 cents 1034.201060 10: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 165.7989 cents 165.7989 1: 108.3371 cents 108.3371 2: 109.1898 cents 109.1898 3: 108.3371 cents 108.3371 4: 165.7989 cents 165.7989 5: 108.3371 cents 108.3371 6: 108.3371 cents 108.3371 7: 109.1898 cents 109.1898 8: 108.3371 cents 108.3371 9: 108.3371 cents 108.3371 10: 165.7989 cents 165.7989
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 108.33710 cents 1: 2 109.18977 cents 1: 2 165.79894 cents 2: 2 216.67419 cents 2: 4 217.52687 cents 2: 4 274.13604 cents 3: 4 325.86396 cents 3: 4 382.47313 cents 3: 2 383.32581 cents 4: 2 434.20106 cents 4: 2 490.81023 cents 4: 6 491.66290 cents 5: 1 542.53816 cents 5: 8 600.00000 cents 5: 1 657.46184 cents 6: 6 708.33710 cents 6: 2 709.18977 cents 6: 2 765.79894 cents 7: 2 816.67419 cents 7: 4 817.52687 cents 7: 4 874.13604 cents 8: 4 925.86396 cents 8: 4 982.47313 cents 8: 2 983.32581 cents 9: 2 1034.20106 cents 9: 2 1090.81023 cents 9: 6 1091.66290 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 108.3 217.5 325.9 491.7 600.0 708.3 817.5 925.9 1034.2 1200.0 108.3 : 109.2 217.5 383.3 491.7 600.0 709.2 817.5 925.9 1091.7 1200.0 217.5 : 108.3 274.1 382.5 490.8 600.0 708.3 816.7 982.5 1090.8 1200.0 325.9 : 165.8 274.1 382.5 491.7 600.0 708.3 874.1 982.5 1091.7 1200.0 491.7 : 108.3 216.7 325.9 434.2 542.5 708.3 816.7 925.9 1034.2 1200.0 600.0 : 108.3 217.5 325.9 434.2 600.0 708.3 817.5 925.9 1091.7 1200.0 708.3 : 109.2 217.5 325.9 491.7 600.0 709.2 817.5 983.3 1091.7 1200.0 817.5 : 108.3 216.7 382.5 490.8 600.0 708.3 874.1 982.5 1090.8 1200.0 925.9 : 108.3 274.1 382.5 491.7 600.0 765.8 874.1 982.5 1091.7 1200.0 1034.2: 165.8 274.1 383.3 491.7 657.5 765.8 874.1 983.3 1091.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 108.3371 .. 165.7989 cents 57.46184 cents 108.33710 cents 2: 216.6742 .. 274.1360 cents 57.46184 cents 50.87526 cents 3: 325.8640 .. 383.3258 cents 57.46184 cents 51.72793 cents 4: 434.2011 .. 491.6629 cents 57.46184 cents 50.87526 cents 5: 542.5382 .. 657.4618 cents 114.92369 cents 50.87525 cents 6: 708.3371 .. 765.7989 cents 57.46184 cents 50.87525 cents 7: 816.6742 .. 874.1360 cents 57.46184 cents 50.87525 cents 8: 925.8640 .. 983.3258 cents 57.46184 cents 51.72793 cents 9: 1034.2011 .. 1091.6629 cents 57.46184 cents 50.87525 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 108.33710 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 165.79894 cents Average / Smallest step : 1.107654 Largest / Average step : 1.381658 Largest / Smallest step : 1.530399 Median interval of one step : 108.33710 cents, amount: 6 Most common interval of one step : 108.33710 cents, amount: 6 Least squares average step : 117.33783 cents, oct.: 1173.37834 cents Scale is strictly proper Scale has trivalence property Step pattern alph. order: ABACAABAAC Step pattern size order : SMSLSSMSSL Scale is a Constant Structure, by a margin of 50.87525 cents Scale diversity : 1.274125 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.521151 Rothenberg efficiency : 0.478413 redundancy: 0.521587 Efficiency x scale size : 4.784127 Number of different interval sizes : 27 = 3.00000 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 0.85267 cents Most common intervals : 600.00000 cents & inv., amount: 8 Number of recognisable fifths : 8, average 708.5503 cents Formal octave complements present : 4 = 40.0000% Limited inverse transpositions : 3 Inversional symmetry on intervals : 1-2 6-7 -- Rational properties --
FIT/MODE
10: 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 24.1790 c. M:-45.7989 c. 12: 1 1 1 2 1 1 1 1 1 2 P D3 SD: 18.2497 c. M: 34.2011 c. Raga Gambhir Basant 18: 2 1 2 2 2 2 1 2 2 2 SP B ME S SD: 19.1165 c. M:-32.4656 c. 20: 2 2 1 3 2 2 2 1 2 3 P T3 SD: 17.1980 c. M: 25.8640 c. 22: 2 2 2 3 2 2 2 2 2 3 SP D3 SD: 1.0587 c. M:-2.1626 c. Standard Pentachordal Minor 122: 11 11 11 17 11 11 11 11 11 17 SP D3 SD: 0.8873 c. M: 1.4142 c. 144: 13 13 13 20 13 13 13 13 13 20 SP D3 SD: 0.6104 c. M: 0.8677 c. 166: 15 15 15 23 15 15 15 15 15 23 SP D3 SD: 0.4181 c. M: 0.6594 c. 188: 17 17 17 26 17 17 17 17 17 26 SP D3 SD: 0.2911 c. M: 0.5056 c. 210: 19 19 19 29 19 19 19 19 19 29 SP D3 SD: 0.2262 c. M: 0.3840 c. 232: 21 21 21 32 21 21 21 21 21 32 SP D3 SD: 0.2199 c. M: 0.2855 c. 442: 40 40 40 61 40 40 40 40 40 61 SP D3 SD: 0.2167 c. M: 0.3323 c. 652: 59 59 59 90 59 59 59 59 59 90 SP D3 SD: 0.2183 c. M: 0.3490 c. 674: 61 61 61 93 61 61 61 61 61 93 SP D3 SD: 0.2166 c. M: 0.3162 c. 744: 67 68 67 103 67 67 68 67 67 103 SP T3 SD: 0.2076 c. M: 0.3301 c. 766: 69 70 69 106 69 69 70 69 69 106 SP T3 SD: 0.1866 c. M: 0.2585 c. 788: 71 72 71 109 71 71 72 71 71 109 SP T3 SD: 0.1707 c. M:-0.2396 c. 810: 73 74 73 112 73 73 74 73 73 112 SP T3 SD: 0.1603 c. M:-0.2509 c. 832: 75 76 75 115 75 75 76 75 75 115 SP T3 SD: 0.1553 c. M:-0.2616 c. 854: 77 78 77 118 77 77 78 77 77 118 SP T3 SD: 0.1554 c. M:-0.2717 c. 876: 79 80 79 121 79 79 80 79 79 121 SP T3 SD: 0.1599 c. M:-0.2814 c. 898: 81 82 81 124 81 81 82 81 81 124 SP T3 SD: 0.1678 c. M:-0.2905 c. 932: 84 85 84 129 84 84 85 84 84 129 SP T3 SD: 0.1492 c. M: 0.2955 c. 954: 86 87 86 132 86 86 87 86 86 132 SP T3 SD: 0.1268 c. M: 0.2388 c. 976: 88 89 88 135 88 88 89 88 88 135 SP T3 SD: 0.1075 c. M: 0.1847 c. 998: 90 91 90 138 90 90 91 90 90 138 SP T3 SD: 0.0923 c. M: 0.1329 c. 1020: 92 93 92 141 92 92 93 92 92 141 SP T3 SD: 0.0822 c. M:-0.1202 c. 1042: 94 95 94 144 94 94 95 94 94 144 SP T3 SD: 0.0784 c. M:-0.1315 c. 1064: 96 97 96 147 96 96 97 96 96 147 SP T3 SD: 0.0808 c. M:-0.1423 c. 1186: 107 108 107 164 107 107 108 107 107 164 SP T3 SD: 0.0659 c. M: 0.1370 c. 1208: 109 110 109 167 109 109 110 109 109 167 SP T3 SD: 0.0481 c. M: 0.0951 c. 1230: 111 112 111 170 111 111 112 111 111 170 SP T3 SD: 0.0338 c. M: 0.0547 c. 1252: 113 114 113 173 113 113 114 113 113 173 SP T3 SD: 0.0274 c. M:-0.0450 c. 1274: 115 116 115 176 115 115 116 115 115 176 SP T3 SD: 0.0324 c. M:-0.0556 c. 1440: 130 131 130 199 130 130 131 130 130 199 SP T3 SD: 0.0213 c. M: 0.0344 c. 1462: 132 133 132 202 132 132 133 132 132 202 SP T3 SD: 0.0094 c. M: 0.0166 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x x 4 S SD: 3.1910 cents 3 x x x 4 x x x 5 x 6 S SD: 13.9977 cents 4 x x 5 x x 6 x 7 x 8 S SD: 18.6089 cents 5 x x 6 x 7 x 8 x 9:10 S SD: 5.2945 cents 6 x 7 x 8 x 9 x 10:11:12 S SD: 11.1416 cents 7 x 8 x 9:10 x 11:12:13:14 S SD: 11.4105 cents 8 x 9:10 x 11:12:13:14:15:16 S SD: 13.4329 cents 9 x 10:11:12:13 x 14:15:16:18 S SD: 11.8733 cents 10 x 11:12:13:14:15:16:17:18:20 S SD: 7.8211 cents 11:12 x 13:15:16:17:18:19:20:22 SD: 11.7848 cents 12:13:14 x 16:17:18:19:20:22:24 S SD: 8.5163 cents 13:14:15:16:17:18:20:21:22:24:26 S SD: 8.4002 cents 14:15:16:17:19:20:21:22:24:25:28 SD: 6.5853 cents 15:16:17:18:20:21:23:24:26:27:30 SD: 4.9531 cents 24:26:27:29:32:34:36:38:41:44:48 SD: 4.3672 cents 27:29:31:33:36:38:41:43:46:49:54 SD: 4.0732 cents 28:30:32:34:37:40:42:45:48:51:56 SD: 3.0463 cents 30:32:34:36:40:42:45:48:51:55:60 SD: 2.8299 cents 43:46:49:52:57:61:65:69:73:78:86 SD: 1.8713 cents 45:48:51:54:60:64:68:72:77:82:90 SD: 1.8618 cents 48:51:54:58:64:68:72:77:82:87:96 SD: 1.7714 cents 58:62:66:70:77:82:87:93:99:105:116 SD: 1.3258 cents 61:65:69:74:81:86:92:98:104:111:122 SD: 1.2368 cents 73:78:83:88:97:103:110:117:125:133:146 SD: 1.1587 cents 82:87:93:99:109:116:123:131:140:149:164 SD: 1.0909 cents 89:95:101:107:118:126:134:143:152:162:178 SD: 1.0337 cents 91:97:103:110:121:129:137:146:155:165:182 SD: 0.8444 cents 106:113:120:128:141:150:160:170:181:193:212 SD: 0.7132 cents 121:129:137:146:161:171:182:194:207:220:242 SD: 0.6273 cents 126:134:143:152:167:178:190:202:215:229:252 SD: 0.5851 cents 154:164:175:186:205:218:232:247:263:280:308 SD: 0.5798 cents 164:175:186:198:218:232:247:263:280:298:328 SD: 0.4323 cents 174:185:197:210:231:246:262:279:297:316:348 SD: 0.3839 cents 202:215:229:244:268:286:304:324:345:367:404 SD: 0.3468 cents 232:247:263:280:308:328:349:372:396:422:464 SD: 0.2483 cents 323:344:366:390:429:457:486:518:551:587:646 SD: 0.2330 cents 328:349:372:396:436:464:494:526:560:596:656 SD: 0.1751 cents 338:360:383:408:449:478:509:542:577:614:676 SD: 0.1654 cents 478:509:542:577:635:676:720:766:816:869:956 SD: 0.1601 cents 530:564:601:640:704:750:798:850:905:963:1060 SD: 0.1575 cents 560:596:635:676:744:792:843:898:956:1018:1120 SD: 0.0747 cents