Scala analysis: G66600011111C1G
G -6 D -6 A -6 E B F# -1 C# -1 G# -1 Eb -1 Bb -1 F -1 C -1 G.scl
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 95.000 cents 95.000000 2: 197.000 cents 197.000000 3: 297.000 cents 297.000000 4: 389.000 cents 389.000000 5: 499.000 cents 499.000000 6: 593.000 cents 593.000000 7: 701.000 cents 701.000000 8: 796.000 cents 796.000000 9: 893.000 cents 893.000000 10: 998.000 cents 998.000000 11: 1091.000 cents 1091.000000 12: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 109.0000 cents 109.0000 1: 95.0000 cents 95.0000 2: 102.0000 cents 102.0000 3: 100.0000 cents 100.0000 4: 92.0000 cents 92.0000 5: 110.0000 cents 110.0000 6: 94.0000 cents 94.0000 7: 108.0000 cents 108.0000 8: 95.0000 cents 95.0000 9: 97.0000 cents 97.0000 10: 105.0000 cents 105.0000 11: 93.0000 cents 93.0000 12: 109.0000 cents 109.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 92.00000 cents 1: 1 93.00000 cents 1: 1 94.00000 cents 1: 2 95.00000 cents 1: 1 97.00000 cents 1: 1 100.00000 cents 1: 1 102.00000 cents 1: 1 105.00000 cents 1: 1 108.00000 cents 1: 1 109.00000 cents 1: 1 110.00000 cents 2: 2 192.00000 cents 2: 1 197.00000 cents 2: 1 198.00000 cents 2: 5 202.00000 cents 2: 1 203.00000 cents 2: 2 204.00000 cents 3: 1 294.00000 cents 3: 1 295.00000 cents 3: 1 296.00000 cents 3: 4 297.00000 cents 3: 1 300.00000 cents 3: 1 302.00000 cents 3: 1 306.00000 cents 3: 1 307.00000 cents 3: 1 312.00000 cents 4: 1 389.00000 cents 4: 1 390.00000 cents 4: 1 394.00000 cents 4: 1 396.00000 cents 4: 1 399.00000 cents 4: 1 402.00000 cents 4: 3 404.00000 cents 4: 1 405.00000 cents 4: 1 406.00000 cents 4: 1 407.00000 cents 5: 3 498.00000 cents 5: 6 499.00000 cents 5: 3 504.00000 cents 6: 1 591.00000 cents 6: 1 592.00000 cents 6: 1 593.00000 cents 6: 1 594.00000 cents 6: 1 596.00000 cents 6: 1 599.00000 cents 6: 1 601.00000 cents 6: 1 604.00000 cents 6: 1 606.00000 cents 6: 1 607.00000 cents 6: 1 608.00000 cents 6: 1 609.00000 cents 7: 3 696.00000 cents 7: 6 701.00000 cents 7: 3 702.00000 cents 8: 1 793.00000 cents 8: 1 794.00000 cents 8: 1 795.00000 cents 8: 3 796.00000 cents 8: 1 798.00000 cents 8: 1 801.00000 cents 8: 1 804.00000 cents 8: 1 806.00000 cents 8: 1 810.00000 cents 8: 1 811.00000 cents 9: 1 888.00000 cents 9: 1 893.00000 cents 9: 1 894.00000 cents 9: 1 898.00000 cents 9: 1 900.00000 cents 9: 4 903.00000 cents 9: 1 904.00000 cents 9: 1 905.00000 cents 9: 1 906.00000 cents 10: 2 996.00000 cents 10: 1 997.00000 cents 10: 5 998.00000 cents 10: 1 1002.00000 cents 10: 1 1003.00000 cents 10: 2 1008.00000 cents 11: 1 1090.00000 cents 11: 1 1091.00000 cents 11: 1 1092.00000 cents 11: 1 1095.00000 cents 11: 1 1098.00000 cents 11: 1 1100.00000 cents 11: 1 1103.00000 cents 11: 2 1105.00000 cents 11: 1 1106.00000 cents 11: 1 1107.00000 cents 11: 1 1108.00000 cents Highest number of different intervals for one interval class: 12 Average number of different intervals per interval class: 8.18182 = 90/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 95.0 197.0 297.0 389.0 499.0 593.0 701.0 796.0 893.0 998.0 1091.0 1200.0 95.0 : 102.0 202.0 294.0 404.0 498.0 606.0 701.0 798.0 903.0 996.0 1105.0 1200.0 197.0 : 100.0 192.0 302.0 396.0 504.0 599.0 696.0 801.0 894.0 1003.0 1098.0 1200.0 297.0 : 92.0 202.0 296.0 404.0 499.0 596.0 701.0 794.0 903.0 998.0 1100.0 1200.0 389.0 : 110.0 204.0 312.0 407.0 504.0 609.0 702.0 811.0 906.0 1008.0 1108.0 1200.0 499.0 : 94.0 202.0 297.0 394.0 499.0 592.0 701.0 796.0 898.0 998.0 1090.0 1200.0 593.0 : 108.0 203.0 300.0 405.0 498.0 607.0 702.0 804.0 904.0 996.0 1106.0 1200.0 701.0 : 95.0 192.0 297.0 390.0 499.0 594.0 696.0 796.0 888.0 998.0 1092.0 1200.0 796.0 : 97.0 202.0 295.0 404.0 499.0 601.0 701.0 793.0 903.0 997.0 1105.0 1200.0 893.0 : 105.0 198.0 307.0 402.0 504.0 604.0 696.0 806.0 900.0 1008.0 1103.0 1200.0 998.0 : 93.0 202.0 297.0 399.0 499.0 591.0 701.0 795.0 903.0 998.0 1095.0 1200.0 1091.0: 109.0 204.0 306.0 406.0 498.0 608.0 702.0 810.0 905.0 1002.0 1107.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 92.0000 .. 110.0000 cents 18.00000 cents 92.00000 cents 2: 192.0000 .. 204.0000 cents 12.00000 cents 82.00000 cents 3: 294.0000 .. 312.0000 cents 18.00000 cents 90.00000 cents 4: 389.0000 .. 407.0000 cents 18.00000 cents 77.00000 cents 5: 498.0000 .. 504.0000 cents 6.00000 cents 91.00000 cents 6: 591.0000 .. 609.0000 cents 18.00000 cents 87.00000 cents 7: 696.0000 .. 702.0000 cents 6.00000 cents 87.00000 cents 8: 793.0000 .. 811.0000 cents 18.00000 cents 91.00000 cents 9: 888.0000 .. 906.0000 cents 18.00000 cents 77.00000 cents 10: 996.0000 .. 1008.0000 cents 12.00000 cents 90.00000 cents 11: 1090.0000 .. 1108.0000 cents 18.00000 cents 82.00000 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 92.00000 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 110.00000 cents Average / Smallest step : 1.086957 Largest / Average step : 1.100000 Largest / Smallest step : 1.195652 Median interval of one step : 98.50000 cents, amount: 0 Most common interval of one step : 95.00000 cents, amount: 2 Least squares average step : 99.51077 cents, oct.: 1194.12923 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 2/1 degrees: 95 197 297 389 499 593 701 796 893 998 1091 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 977 of 977.000 cents and inv. generated superset size: 649 = 637 more = 5408.333% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGAHIJK Step pattern size order : DGFAKCIDEHBJ Scale is a Constant Structure, by a margin of 77.00000 cents Scale diversity : 1.113107 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.865000 Rothenberg efficiency : 0.222971 redundancy: 0.777029 Efficiency x scale size : 2.675649 Number of different interval sizes : 90 = 8.18182 / class Number of one step interval sizes : 11 Highest interval variety : 12 Mean interval variety : 8.18182 = 90/11 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 1.00000 cents Most common intervals : 499.00000 cents & inv., amount: 6 Most common triad is 0.0 499.000 701.000 cents, amount: 5 Number of recognisable fifths : 12, average 700.0000 cents Best fifths form a closed circle Formal octave complements present : 3 = 25.0000% Limited transpositions with margin 18.0000 cents: 1 2 3 5 6 7 8 9 10 Limited inverse transpositions with margin 18.0000 cents: 1 2 4 5 6 7 9 10 11 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 5.5151 c. M:-11.0000 c. Twelve-tone Chromatic (1/11-comma) 53: 4 5 4 4 5 4 5 4 4 5 4 5 SP M ME SD: 4.4970 c. M: 9.9811 c. Schismic-12 56: 4 5 5 4 5 5 5 4 5 5 4 5 SP D3 SD: 5.7269 c. M: 9.2857 c. 61: 5 5 5 5 5 5 6 4 5 6 4 6 SP D3 SD: 5.7668 c. M: 9.1148 c. 63: 5 5 5 5 6 5 6 5 5 5 5 6 SP D3 SD: 5.5900 c. M: 11.2857 c. 65: 5 6 5 5 6 5 6 5 5 6 5 6 SP M ME SD: 3.0256 c. M: 6.8462 c. 77: 6 7 6 6 7 6 7 6 6 7 6 7 SP M ME SD: 2.2233 c. M:-5.5974 c. 89: 7 8 7 7 8 7 8 7 7 8 7 8 SP M ME SD: 1.9034 c. M:-5.2472 c. 101: 8 9 8 8 9 8 9 8 8 9 8 9 SP M ME SD: 1.9006 c. M:-4.9802 c. 102: 8 9 8 8 9 8 10 8 8 9 8 9 SP D3 SD: 3.1625 c. M: 4.8824 c. 106: 8 9 9 8 10 8 10 8 9 9 8 10 SP D3 SD: 3.1576 c. M: 4.5472 c. 108: 9 9 9 8 10 8 10 9 8 10 8 10 SP T3 SD: 2.9336 c. M:-5.0000 c. 109: 9 9 9 8 10 9 10 8 9 10 8 10 SP SD: 2.7114 c. M:-4.0826 c. 113: 9 10 9 9 10 9 10 9 9 10 9 10 SP M ME SD: 2.0518 c. M:-4.7699 c. 117: 9 10 10 9 11 9 10 10 9 10 9 11 SP SD: 2.6187 c. M:-4.0000 c. 118: 9 10 10 9 11 9 11 9 10 10 9 11 SP D3 SD: 2.4117 c. M: 3.7797 c. 121: 10 10 10 9 11 10 11 9 10 11 9 11 SP SD: 2.3909 c. M:-4.1736 c. 125: 10 11 10 10 11 10 11 10 10 11 10 11 SP M ME SD: 2.2546 c. M:-4.6000 c. 130: 10 11 11 10 12 10 12 10 11 11 10 12 SP D3 SD: 1.8638 c. M: 3.1538 c. 142: 11 12 12 11 13 11 13 11 12 12 11 13 SP D3 SD: 1.4970 c. M:-2.7746 c. 154: 12 13 13 12 14 12 14 12 13 13 12 14 SP D3 SD: 1.3056 c. M:-3.1039 c. 166: 13 14 14 13 15 13 15 13 14 14 13 15 SP D3 SD: 1.2698 c. M:-3.3855 c. 178: 14 15 15 14 16 14 16 14 14 16 14 16 SP D3 S SD: 1.2307 c. M: 3.1124 c. 185: 15 15 16 14 17 14 17 15 15 16 14 17 SP SD: 1.6142 c. M: 2.7297 c. 188: 15 16 16 14 17 15 17 15 15 16 15 17 SP SD: 1.3718 c. M:-3.0000 c. 190: 15 16 16 15 17 15 17 15 15 17 15 17 SP D3 S SD: 1.2083 c. M:-2.5789 c. 194: 15 17 16 15 18 15 17 16 15 17 15 18 SP SD: 1.6863 c. M: 2.3402 c. 195: 15 17 16 15 18 15 18 15 16 17 15 18 SP SD: 1.4871 c. M: 2.6923 c. 200: 16 17 17 15 18 16 18 16 16 17 16 18 SP SD: 1.4434 c. M:-3.0000 c. 202: 16 17 17 15 19 16 18 16 16 18 16 18 SP SD: 1.2306 c. M: 2.8614 c. 206: 16 18 17 16 19 16 18 17 16 18 16 19 SP SD: 1.5491 c. M:-2.0583 c. 207: 16 18 17 16 19 16 19 16 17 18 16 19 SP SD: 1.1516 c. M: 2.2464 c. 214: 17 18 18 16 20 17 19 17 17 19 17 19 SP SD: 1.1218 c. M:-2.4579 c. 219: 17 19 18 17 20 17 20 17 18 19 17 20 SP SD: 0.8938 c. M: 1.8493 c. 231: 18 20 19 18 21 18 21 18 19 20 18 21 SP SD: 0.7316 c. M: 1.4935 c. 243: 19 21 20 19 22 19 22 19 20 21 19 22 SP SD: 0.6833 c. M: 1.1728 c. 368: 29 31 31 28 34 29 33 29 30 32 29 33 SP SD: 0.6800 c. M:-1.3913 c. 380: 30 32 32 29 35 30 34 30 31 33 29 35 SP SD: 0.6596 c. M: 1.5263 c. 392: 31 33 33 30 36 31 35 31 32 34 30 36 SP SD: 0.5940 c. M: 1.2041 c. 396: 31 34 33 30 37 31 35 32 32 34 31 36 SP SD: 0.8246 c. M: 1.1212 c. 397: 31 34 33 31 36 31 36 31 32 35 31 36 SP SD: 0.7620 c. M: 1.3123 c. 404: 32 34 34 31 37 32 36 32 33 35 31 37 SP SD: 0.5771 c. M:-1.0594 c. 421: 33 36 35 32 39 33 38 33 34 37 33 38 SP SD: 0.6516 c. M: 1.3515 c. 433: 34 37 36 33 40 34 39 34 35 38 34 39 SP SD: 0.5512 c. M: 1.0092 c. 445: 35 38 37 34 41 35 40 35 36 39 34 41 SP SD: 0.5792 c. M: 1.5618 c. 457: 36 39 38 35 42 36 41 36 37 40 35 42 SP SD: 0.4593 c. M: 1.2845 c. 469: 37 40 39 36 43 37 42 37 38 41 36 43 SP SD: 0.3720 c. M: 1.0213 c. 476: 38 40 40 36 44 37 43 38 38 42 37 43 SP SD: 0.5110 c. M:-0.7983 c. 481: 38 41 40 37 44 38 43 38 39 42 37 44 SP SD: 0.3326 c. M: 0.7713 c. 642: 51 54 54 49 59 50 58 51 52 56 50 58 SP SD: 0.3668 c. M: 0.7383 c. 683: 54 58 57 52 63 53 62 54 55 60 53 62 SP SD: 0.3693 c. M: 0.9063 c. 695: 55 59 58 53 64 54 63 55 56 61 54 63 SP SD: 0.2955 c. M: 0.7698 c. 696: 55 59 58 54 63 55 63 55 56 61 54 63 SP SD: 0.4523 c. M: 0.7241 c. 700: 55 60 58 54 64 55 63 55 57 61 54 64 SP SD: 0.3802 c. M: 0.7143 c. 707: 56 60 59 54 65 55 64 56 57 62 55 64 SP SD: 0.2430 c. M: 0.6379 c. 712: 56 61 59 55 65 56 64 56 58 62 55 65 SP SD: 0.3458 c. M: 0.6180 c. 719: 57 61 60 55 66 56 65 57 58 63 56 65 SP SD: 0.2225 c. M:-0.5160 c. 914: 72 78 76 70 84 72 82 72 74 80 71 83 SP SD: 0.2712 c. M: 0.4705 c. 933: 74 79 78 71 86 73 84 74 75 82 72 85 SP SD: 0.2441 c. M: 0.5756 c. 945: 75 80 79 72 87 74 85 75 76 83 73 86 SP SD: 0.1989 c. M: 0.4286 c. 957: 76 81 80 73 88 75 86 76 77 84 74 87 SP SD: 0.1735 c. M:-0.2978 c. 969: 77 82 81 74 89 76 87 77 78 85 75 88 SP SD: 0.1744 c. M:-0.3560 c. 981: 78 83 82 75 90 77 88 78 79 86 76 89 SP SD: 0.1995 c. M:-0.4128 c. 1046: 83 89 87 80 96 82 94 83 84 92 81 95 SP SD: 0.1922 c. M: 0.4570 c. 1099: 87 93 92 84 101 86 99 87 89 96 85 100 SP SD: 0.1747 c. M: 0.4577 c. 1111: 88 94 93 85 102 87 100 88 90 97 86 101 SP SD: 0.1525 c. M: 0.4203 c. 1123: 89 95 94 86 103 88 101 89 91 98 87 102 SP SD: 0.1524 c. M: 0.3838 c. 1164: 92 99 97 89 107 91 105 92 94 102 90 106 SP SD: 0.1706 c. M: 0.3402 c. 1176: 93 100 98 90 108 92 106 93 95 103 91 107 SP SD: 0.1126 c. M: 0.2245 c. 1188: 94 101 99 91 109 93 107 94 96 104 92 108 SP SD: 0.0557 c. M: 0.1111 c. 1200: 95 102 100 92 110 94 108 95 97 105 93 109 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x x x 4 S SD: 0.4775 cents 3 x x x x 4 x x x 5 x x 6 S SD: 2.8980 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 7.3283 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 6.7950 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 8.6889 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 11.1176 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 8.5097 cents 9 x 10 x 11:12:13 x 14:15:16:17:18 S SD: 7.8503 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 7.2459 cents 11 x 12:13:14:15 x 16:17:18:20:21:22 S SD: 11.3166 cents 12:13 x 14:15:16:17:18:19:20:21:23:24 SD: 6.4851 cents 13:14 x 15:16:17:18:19:21:22:23:24:26 SD: 9.4852 cents 14:15:16:17:18:19:20:21:22:23:25:26:28 SD: 7.7353 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 5.1751 cents 16:17:18:19:20:21:23:24:25:27:28:30:32 SD: 5.1141 cents 17:18:19:20:21:23:24:25:27:28:30:32:34 SD: 5.0277 cents 22:23:25:26:28:29:31:33:35:37:39:41:44 SD: 4.2118 cents 24:25:27:28:30:32:34:36:38:40:43:45:48 SD: 3.6059 cents 27:29:30:32:34:36:38:40:43:45:48:51:54 SD: 3.5794 cents 31:33:35:37:39:41:44:46:49:52:55:58:62 SD: 3.0157 cents 32:34:36:38:40:43:45:48:51:54:57:60:64 SD: 2.0646 cents 48:51:54:57:60:64:68:72:76:80:85:90:96 S SD: 1.6955 cents 56:59:63:66:70:75:79:84:89:94:100:105:112 SD: 1.6233 cents 58:61:65:69:73:77:82:87:92:97:103:109:116 SD: 1.4477 cents 64:68:72:76:80:85:90:96:101:107:114:120:128 SD: 1.3960 cents 68:72:76:81:85:91:96:102:108:114:121:128:136 SD: 1.0733 cents 74:78:83:88:93:99:104:111:117:124:132:139:148 SD: 0.9671 cents 90:95:101:107:113:120:127:135:143:151:160:169:180 SD: 0.8154 cents 107:113:120:127:134:143:151:160:169:179:190:201:214 SD: 0.7726 cents 108:114:121:128:135:144:152:162:171:181:192:203:216 SD: 0.4425 cents 159:168:178:189:199:212:224:238:252:266:283:299:318 SD: 0.4385 cents 176:186:197:209:220:235:248:264:279:295:313:331:352 SD: 0.4333 cents 182:192:204:216:228:243:256:273:288:305:324:342:364 SD: 0.3743 cents 198:209:222:235:248:264:279:297:314:332:352:372:396 SD: 0.3648 cents 218:230:244:259:273:291:307:327:345:365:388:409:436 SD: 0.3517 cents 230:243:258:273:288:307:324:345:364:385:409:432:460 SD: 0.2706 cents 267:282:299:317:334:356:376:400:423:447:475:501:534 SD: 0.2541 cents 305:322:342:362:382:407:430:457:483:511:543:573:610 SD: 0.2371 cents 338:357:379:401:423:451:476:507:535:566:602:635:676 SD: 0.2296 cents 341:360:382:405:427:455:480:511:540:571:607:640:682 SD: 0.1958 cents 389:411:436:462:487:519:548:583:616:652:692:731:778 SD: 0.1752 cents 440:465:493:522:551:587:620:660:697:737:783:826:880 SD: 0.1666 cents 449:474:503:533:562:599:632:673:711:752:799:843:898 SD: 0.1553 cents 497:525:557:590:622:663:700:745:787:832:885:933:994 SD: 0.1404 cents 533:563:597:633:667:711:751:799:844:893:949:1001:1066 SD: 0.1377 cents 563:595:631:668:705:751:793:844:892:943:1002:1057:1126 SD: 0.1305 cents 572:604:641:679:716:763:806:858:906:958:1018:1074:1144 SD: 0.1272 cents 587:620:658:697:735:783:827:880:930:983:1045:1102:1174 SD: 0.1212 cents 599:633:671:711:750:799:844:898:949:1003:1066:1125:1198 SD: 0.1139 cents