Scala analysis: Cambodia_01
Cambodia 1, Cambodia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 178.000 cents 178.000000 2: 356.000 cents 356.000000 3: 508.000 cents 508.000000 4: 663.000 cents 663.000000 5: 848.000 cents 848.000000 6: 1024.000 cents 1024.000000 7: 1210.000 cents 1210.000000
SHOW/INTERVAL
0: 186.0000 cents 186.0000 1: 178.0000 cents 178.0000 2: 178.0000 cents 178.0000 3: 152.0000 cents 152.0000 4: 155.0000 cents 155.0000 5: 185.0000 cents 185.0000 6: 176.0000 cents 176.0000 7: 186.0000 cents 186.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 152.00000 cents 1: 1 155.00000 cents 1: 1 176.00000 cents 1: 2 178.00000 cents 1: 1 185.00000 cents 1: 1 186.00000 cents 2: 1 307.00000 cents 2: 1 330.00000 cents 2: 1 340.00000 cents 2: 1 356.00000 cents 2: 1 361.00000 cents 2: 1 362.00000 cents 2: 1 364.00000 cents 3: 1 485.00000 cents 3: 1 492.00000 cents 3: 1 508.00000 cents 3: 1 516.00000 cents 3: 1 540.00000 cents 3: 1 542.00000 cents 3: 1 547.00000 cents 4: 1 663.00000 cents 4: 1 668.00000 cents 4: 1 670.00000 cents 4: 1 694.00000 cents 4: 1 702.00000 cents 4: 1 718.00000 cents 4: 1 725.00000 cents 5: 1 846.00000 cents 5: 1 848.00000 cents 5: 1 849.00000 cents 5: 1 854.00000 cents 5: 1 870.00000 cents 5: 1 880.00000 cents 5: 1 903.00000 cents 6: 1 1024.00000 cents 6: 1 1025.00000 cents 6: 2 1032.00000 cents 6: 1 1034.00000 cents 6: 1 1055.00000 cents 6: 1 1058.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.66667 = 20/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 178.0 356.0 508.0 663.0 848.0 1024.0 1210.0 178.0 : 178.0 330.0 485.0 670.0 846.0 1032.0 1210.0 356.0 : 152.0 307.0 492.0 668.0 854.0 1032.0 1210.0 508.0 : 155.0 340.0 516.0 702.0 880.0 1058.0 1210.0 663.0 : 185.0 361.0 547.0 725.0 903.0 1055.0 1210.0 848.0 : 176.0 362.0 540.0 718.0 870.0 1025.0 1210.0 1024.0: 186.0 364.0 542.0 694.0 849.0 1034.0 1210.0 1210.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 152.0000 .. 186.0000 cents 34.00000 cents 152.00000 cents 2: 307.0000 .. 364.0000 cents 57.00000 cents 121.00000 cents 3: 485.0000 .. 547.0000 cents 62.00000 cents 121.00000 cents 4: 663.0000 .. 725.0000 cents 62.00000 cents 116.00000 cents 5: 846.0000 .. 903.0000 cents 57.00000 cents 121.00000 cents 6: 1024.0000 .. 1058.0000 cents 34.00000 cents 121.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 152.00000 cents, class 1 Average step (divided formal octave): 172.8571 cents Largest one step interval : 186.00000 cents Average / Smallest step : 1.137218 Largest / Average step : 1.076033 Largest / Smallest step : 1.223684 Median interval of one step : 178.00000 cents, amount: 2 Most common interval of one step : 178.00000 cents, amount: 2 Least squares average step : 170.85714 cents, oct.: 1196.00000 cents Scale is strictly proper Scale is a mode of a 1210-tone equal temperament with octave 1210.000 cents degrees: 178 356 508 663 848 1024 1210 Least number of segments generator : 607 of 607.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1037 of 1037.000 cents and inv. generated superset size: 272 = 265 more = 3885.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABCDEF Step pattern size order : DDABECF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 116.00000 cents Scale diversity : 1.259708 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.747107 Rothenberg efficiency : 0.299320 redundancy: 0.700680 Efficiency x scale size : 2.095238 Number of different interval sizes : 40 = 6.66667 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.66667 = 20/3 Median interval variety : 6.5 Lowest interval variety : 6 Smallest interval difference : 1.00000 cents Most common intervals : 178.00000 cents & inv., amount: 2 Most common triad is 0.0 178.000 1032.000 cents, amount: 1 Number of recognisable fifths : 3, average 704.6667 cents Number of appreciable fifths : 2, average 698.0000 cents Number of recognisable fourths : 3, average 495.0000 cents Number of appreciable fourths : 2, average 500.0000 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 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 62.0000 cents: 1 Limited inverse transpositions with margin 62.0000 cents: 5 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 14.5903 c. M:-28.4286 c. Lebeng 20: 3 3 2 3 3 3 3 SP M ME S SD: 9.7450 c. M: 24.0000 c. 24: 4 3 3 3 4 3 4 SP D3 SD: 11.7702 c. M:-23.6667 c. 26: 4 4 3 3 4 4 4 SP D3 S SD: 9.1453 c. M:-16.3077 c. 27: 4 4 3 4 4 4 4 SP M ME S SD: 7.3353 c. M: 15.0370 c. 33: 5 5 4 4 5 5 5 SP D3 S SD: 5.4584 c. M:-10.6667 c. 40: 6 6 5 5 6 6 6 SP D3 S SD: 4.2730 c. M:-7.0000 c. 47: 7 7 6 6 7 7 7 SP D3 S SD: 4.6051 c. M:-6.8936 c. 57: 8 9 7 7 9 8 9 SP S SD: 4.5338 c. M: 8.1754 c. 60: 9 9 7 8 9 9 9 SP SD: 3.8442 c. M:-7.0000 c. 64: 9 10 8 8 10 9 10 SP S SD: 3.7174 c. M: 7.8437 c. 67: 10 10 8 9 10 10 10 SP SD: 3.7056 c. M:-5.4030 c. 71: 10 11 9 9 11 10 11 SP S SD: 3.6534 c. M: 7.5775 c. 84: 12 13 10 11 13 12 13 SP SD: 3.0092 c. M: 5.1429 c. 86: 13 12 11 11 13 13 13 SP SD: 3.1955 c. M:-4.9070 c. 91: 13 14 11 12 14 13 14 SP SD: 2.8099 c. M: 5.1429 c. 93: 14 13 12 12 14 14 14 SP SD: 2.9316 c. M: 4.7097 c. 95: 14 14 12 12 15 13 15 SP SD: 2.8657 c. M:-5.3684 c. 102: 15 15 13 13 15 15 16 SP S SD: 2.7677 c. M: 5.7451 c. 103: 15 15 13 13 16 15 16 SP SD: 2.9046 c. M: 5.1359 c. 104: 15 16 13 13 16 15 16 SP S SD: 2.7034 c. M:-4.6731 c. 108: 16 16 13 14 17 15 17 SP SD: 2.8930 c. M: 4.4630 c. 109: 16 16 14 14 16 16 17 SP S SD: 2.4837 c. M: 4.3303 c. 110: 16 16 14 14 17 16 17 SP SD: 2.2361 c. M: 4.0000 c. 117: 17 17 15 15 18 17 18 SP SD: 1.9557 c. M: 4.3761 c. 128: 19 19 16 16 20 18 20 SP SD: 2.3238 c. M:-3.2188 c. 129: 19 19 16 17 19 19 20 SP SD: 2.0129 c. M: 3.8140 c. 137: 20 20 18 17 21 20 21 SP SD: 2.0010 c. M:-4.2628 c. 143: 21 21 18 18 22 21 22 SP SD: 1.3628 c. M: 3.0000 c. 150: 22 22 19 19 23 22 23 SP SD: 0.8478 c. M: 1.5333 c. 157: 23 23 20 20 24 23 24 SP SD: 0.7860 c. M: 1.4777 c. 190: 28 28 24 24 29 28 29 SP SD: 0.9157 c. M:-1.4737 c. 217: 32 32 27 28 33 32 33 SP SD: 0.9051 c. M:-1.9908 c. 265: 39 39 33 34 41 38 41 SP SD: 0.8747 c. M:-1.2830 c. 272: 40 40 34 35 42 39 42 SP SD: 0.7826 c. M:-1.6691 c. 305: 45 45 38 39 47 44 47 SP SD: 0.6346 c. M:-1.0492 c. 312: 46 46 39 40 48 45 48 SP SD: 0.6102 c. M:-1.3269 c. 367: 54 54 46 47 56 54 56 SP SD: 0.5961 c. M:-1.3678 c. 398: 59 58 50 51 61 58 61 SP SD: 0.5921 c. M:-1.3719 c. 402: 59 59 51 51 62 58 62 SP SD: 0.6552 c. M: 0.8259 c. 405: 60 59 51 52 62 59 62 SP SD: 0.6225 c. M:-1.2593 c. 414: 61 61 52 53 63 60 64 SP SD: 0.5603 c. M: 1.0531 c. 422: 62 62 53 54 65 61 65 SP SD: 0.4757 c. M:-0.7204 c. 429: 63 63 54 55 66 62 66 SP SD: 0.4741 c. M:-0.9744 c. 455: 67 67 57 58 70 66 70 SP SD: 0.3724 c. M: 0.8242 c. 462: 68 68 58 59 71 67 71 SP SD: 0.2747 c. M:-0.5714 c. 591: 87 87 74 76 90 86 91 SP SD: 0.2687 c. M: 0.3858 c. 619: 91 91 78 79 95 90 95 SP SD: 0.2565 c. M:-0.3683 c. 741: 109 109 93 95 113 108 114 SP SD: 0.2107 c. M: 0.5101 c. 748: 110 110 94 96 114 109 115 SP SD: 0.1697 c. M: 0.3529 c. 1000: 147 147 126 128 153 145 154 SP SD: 0.2038 c. M: 0.3400 c. 1007: 148 148 127 129 154 146 155 SP SD: 0.2538 c. M: 0.3297 c. 1013: 149 149 127 130 155 147 156 SP SD: 0.1887 c. M: 0.3495 c. 1020: 150 150 128 131 156 148 157 SP SD: 0.1706 c. M: 0.2745 c. 1053: 155 155 132 135 161 153 162 SP SD: 0.1172 c. M:-0.2203 c. 1060: 156 156 133 136 162 154 163 SP SD: 0.1200 c. M:-0.2170 c. 1203: 177 177 151 154 184 175 185 SP SD: 0.0849 c. M: 0.1654 c. 1210: 178 178 152 155 185 176 186 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 10.0000 cents 2 x x x 3 x x 4 S SD: 20.1090 cents 3 x x 4 x 5 x 6 S SD: 13.0002 cents 4 x 5 x 6 x 7:8 S SD: 18.6758 cents 5 x 6:7 x 8:9:10 S SD: 18.4384 cents 6:7 x 8:9:10:11:12 S SD: 17.9350 cents 7:8 x 9:10:11:13:14 SD: 21.6553 cents 8:9:10:11:12:13:14:16 S SD: 12.9238 cents 9:10:11:12:13:15:16:18 SD: 7.9402 cents 17:19:21:23:25:28:31:34 SD: 4.8977 cents 21:23:26:28:31:34:38:42 SD: 4.8104 cents 26:29:32:35:38:42:47:52 SD: 3.5855 cents 30:33:37:40:44:49:54:60 SD: 3.0672 cents 35:39:43:47:51:57:63:70 SD: 2.7613 cents 47:52:58:63:69:77:85:95 SD: 1.9895 cents 56:62:69:75:82:91:101:113 SD: 1.6829 cents 62:69:76:83:91:101:112:125 SD: 1.4303 cents 73:81:90:98:107:119:132:147 SD: 1.1027 cents 82:91:101:110:120:134:148:165 SD: 1.0221 cents 92:102:113:123:135:150:166:185 SD: 0.8697 cents 109:121:134:146:160:178:197:219 SD: 0.6751 cents 150:166:184:201:220:245:271:302 SD: 0.6006 cents 158:175:194:212:232:258:285:318 SD: 0.5715 cents 167:185:205:224:245:273:302:336 SD: 0.5187 cents 176:195:216:236:258:287:318:354 SD: 0.3264 cents 223:247:274:299:327:364:403:449 SD: 0.3013 cents 258:286:317:346:378:421:466:519 SD: 0.2813 cents 285:316:350:382:418:465:515:573 SD: 0.2305 cents 332:368:408:445:487:542:600:668 SD: 0.2182 cents 399:442:490:535:585:651:721:803 SD: 0.2074 cents 407:451:500:546:597:664:735:819 SD: 0.1981 cents 416:461:511:558:610:679:752:837 SD: 0.1725 cents 508:563:624:681:745:829:918:1022 SD: 0.1111 cents