Scala analysis: China_So-na
So-na (Suona), China
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 145.000 cents 145.000000 2: 297.000 cents 297.000000 3: 440.000 cents 440.000000 4: 637.000 cents 637.000000 5: 813.000 cents 813.000000 6: 1014.000 cents 1014.000000 7: 1216.000 cents 1216.000000
SHOW/INTERVAL
0: 202.0000 cents 202.0000 1: 145.0000 cents 145.0000 2: 152.0000 cents 152.0000 3: 143.0000 cents 143.0000 4: 197.0000 cents 197.0000 5: 176.0000 cents 176.0000 6: 201.0000 cents 201.0000 7: 202.0000 cents 202.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 143.00000 cents 1: 1 145.00000 cents 1: 1 152.00000 cents 1: 1 176.00000 cents 1: 1 197.00000 cents 1: 1 201.00000 cents 1: 1 202.00000 cents 2: 1 295.00000 cents 2: 1 297.00000 cents 2: 1 340.00000 cents 2: 1 347.00000 cents 2: 1 373.00000 cents 2: 1 377.00000 cents 2: 1 403.00000 cents 3: 1 440.00000 cents 3: 1 492.00000 cents 3: 1 499.00000 cents 3: 1 516.00000 cents 3: 1 548.00000 cents 3: 1 574.00000 cents 3: 1 579.00000 cents 4: 1 637.00000 cents 4: 1 642.00000 cents 4: 1 668.00000 cents 4: 1 700.00000 cents 4: 1 717.00000 cents 4: 1 724.00000 cents 4: 1 776.00000 cents 5: 1 813.00000 cents 5: 1 839.00000 cents 5: 1 843.00000 cents 5: 1 869.00000 cents 5: 1 876.00000 cents 5: 1 919.00000 cents 5: 1 921.00000 cents 6: 1 1014.00000 cents 6: 1 1015.00000 cents 6: 1 1019.00000 cents 6: 1 1040.00000 cents 6: 1 1064.00000 cents 6: 1 1071.00000 cents 6: 1 1073.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 145.0 297.0 440.0 637.0 813.0 1014.0 1216.0 145.0 : 152.0 295.0 492.0 668.0 869.0 1071.0 1216.0 297.0 : 143.0 340.0 516.0 717.0 919.0 1064.0 1216.0 440.0 : 197.0 373.0 574.0 776.0 921.0 1073.0 1216.0 637.0 : 176.0 377.0 579.0 724.0 876.0 1019.0 1216.0 813.0 : 201.0 403.0 548.0 700.0 843.0 1040.0 1216.0 1014.0: 202.0 347.0 499.0 642.0 839.0 1015.0 1216.0 1216.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 143.0000 .. 202.0000 cents 59.00000 cents 143.00000 cents 2: 295.0000 .. 403.0000 cents 108.00000 cents 93.00000 cents 3: 440.0000 .. 579.0000 cents 139.00000 cents 37.00000 cents 4: 637.0000 .. 776.0000 cents 139.00000 cents 58.00000 cents 5: 813.0000 .. 921.0000 cents 108.00000 cents 37.00000 cents 6: 1014.0000 .. 1073.0000 cents 59.00000 cents 93.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 143.00000 cents, class 1 Average step (divided formal octave): 173.7143 cents Largest one step interval : 202.00000 cents Average / Smallest step : 1.214785 Largest / Average step : 1.162829 Largest / Smallest step : 1.412587 Median interval of one step : 176.00000 cents, amount: 1 Least squares average step : 166.20000 cents, oct.: 1163.40000 cents Scale is strictly proper Scale is a mode of a 1216-tone equal temperament with octave 1216.000 cents degrees: 145 297 440 637 813 1014 1216 Least number of segments generator : 609 of 609.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 649 of 649.000 cents and inv. generated superset size: 290 = 283 more = 4142.857% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : BCAEDFG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 37.00000 cents Scale diversity : 1.453237 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.496711 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 2, average 708.5000 cents Number of appreciable fifths : 1, average 700.0000 cents Number of recognisable fourths : 2, average 495.5000 cents Best fifths 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% -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 115.4642 c. M: 145.4286 c. 8: 1 1 1 1 1 2 1 P M ME S SD: 30.4818 c. M: 53.0000 c. 11: 1 2 1 2 1 2 2 P M ME S SD: 26.6766 c. M: 39.1818 c. 12: 1 2 1 2 2 2 2 P D3 S SD: 23.9178 c. M: 43.6667 c. Superlocrian, Altered Dominant, Diminished Whole-tone, Locrian flat 4, Pomeroy, Ravel 13: 2 1 2 2 2 2 2 SP M ME S SD: 24.4258 c. M:-42.0769 c. Tamashian 14: 2 1 2 2 2 3 2 P T3 SD: 26.1973 c. M: 36.4286 c. 15: 2 2 2 2 2 3 2 SP M ME S SD: 26.5055 c. M:-46.4000 c. 16: 2 2 2 2 3 2 3 P D3 S SD: 18.5164 c. M: 29.0000 c. 17: 2 2 2 3 2 3 3 P D3 SD: 12.6986 c. M: 26.1765 c. 19: 2 3 2 3 3 3 3 SP D3 S SD: 13.8976 c. M:-23.0000 c. 24: 3 3 3 4 3 4 4 SP D3 SD: 10.8847 c. M:-21.6667 c. 25: 3 3 3 4 4 4 4 SP S SD: 6.5727 c. M:-13.8800 c. 34: 4 4 4 6 5 5 6 SP S SD: 8.7464 c. M: 12.5882 c. 36: 4 5 4 6 5 6 6 SP SD: 5.0185 c. M: 9.8889 c. 42: 5 5 5 7 6 7 7 SP SD: 3.6741 c. M: 7.4762 c. 61: 7 8 7 10 9 10 10 SP SD: 2.9857 c. M: 5.4590 c. 78: 9 10 9 13 11 13 13 SP SD: 2.5481 c. M: 4.6923 c. 91: 11 11 11 15 13 15 15 SP SD: 2.4016 c. M:-4.4066 c. 97: 12 12 11 16 14 16 16 SP SD: 2.8511 c. M:-5.4330 c. 99: 12 12 12 16 14 17 16 SP SD: 2.7702 c. M:-5.4747 c. 102: 12 13 12 16 15 17 17 SP SD: 2.3463 c. M: 5.1569 c. 103: 12 13 12 17 15 17 17 SP SD: 2.0421 c. M: 3.3301 c. 126: 15 16 15 20 18 21 21 SP SD: 1.9336 c. M:-3.9365 c. 127: 15 16 15 21 18 21 21 SP SD: 1.8548 c. M:-4.5118 c. 132: 16 16 16 21 19 22 22 SP SD: 1.8179 c. M:-2.3939 c. 136: 16 17 16 22 20 22 23 SP SD: 2.0541 c. M: 3.6471 c. 139: 17 17 16 23 20 23 23 SP SD: 1.8640 c. M:-3.7194 c. 143: 17 18 17 23 21 23 24 SP SD: 1.7481 c. M:-3.3357 c. 144: 17 18 17 23 21 24 24 SP SD: 1.8630 c. M: 3.6667 c. 151: 18 19 18 24 22 25 25 SP SD: 1.2339 c. M:-2.9139 c. 168: 20 21 20 27 24 28 28 SP SD: 1.0906 c. M: 2.3333 c. 175: 21 22 20 29 25 29 29 SP SD: 1.4368 c. M:-2.2686 c. 185: 22 23 22 30 27 30 31 SP SD: 1.1602 c. M:-2.0486 c. 193: 23 24 23 31 28 32 32 SP SD: 0.5939 c. M:-1.0363 c. 271: 32 34 32 44 39 45 45 SP SD: 0.7102 c. M: 1.4133 c. 290: 35 36 34 47 42 48 48 SP SD: 0.8058 c. M:-1.7586 c. 296: 35 37 35 48 43 49 49 SP SD: 0.7428 c. M: 1.2162 c. 302: 36 38 35 49 44 50 50 SP SD: 0.6975 c. M: 1.1126 c. 326: 39 41 38 53 47 54 54 SP SD: 0.6846 c. M:-1.4049 c. 332: 40 41 39 54 48 55 55 SP SD: 0.6564 c. M:-1.5060 c. 351: 42 44 41 57 51 58 58 SP SD: 0.7317 c. M:-1.1311 c. 353: 42 44 42 57 51 58 59 SP SD: 0.6707 c. M: 1.2408 c. 368: 44 46 43 60 53 61 61 SP SD: 0.4360 c. M:-0.7391 c. 426: 51 53 50 69 62 70 71 SP SD: 0.4545 c. M: 0.6667 c. 462: 55 58 54 75 67 76 77 SP SD: 0.3726 c. M: 0.6667 c. 470: 56 59 55 76 68 78 78 SP SD: 0.3828 c. M: 0.6085 c. 504: 60 63 59 82 73 83 84 SP SD: 0.4402 c. M: 0.8889 c. 512: 61 64 60 83 74 85 85 SP SD: 0.4226 c. M: 0.7500 c. 519: 62 65 61 84 75 86 86 SP SD: 0.3675 c. M:-0.5568 c. 561: 67 70 66 91 81 93 93 SP SD: 0.2150 c. M:-0.4171 c. 655: 78 82 77 106 95 108 109 SP SD: 0.1841 c. M: 0.3573 c. 848: 101 106 100 137 123 140 141 SP SD: 0.1892 c. M: 0.3208 c. 987: 118 123 116 160 143 163 164 SP SD: 0.1694 c. M:-0.3779 c. 998: 119 125 117 162 144 165 166 SP SD: 0.2165 c. M: 0.3026 c. 1023: 122 128 120 166 148 169 170 SP SD: 0.1121 c. M: 0.1955 c. 1174: 140 147 138 190 170 194 195 SP SD: 0.1314 c. M:-0.2675 c. 1216: 145 152 143 197 176 201 202 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 16.0000 cents 2 x x x 3 x x 4 S SD: 33.4483 cents 3 x x 4 x 5 x 6 S SD: 31.1221 cents 4 x x 5:6 x 7:8 S SD: 24.2359 cents 5 x 6 x 7:8:9:10 S SD: 11.9763 cents 6 x 7:8:9:10:11:12 S SD: 20.4768 cents 7 x 8:9:10:11:13:14 SD: 16.0331 cents 8:9 x 10:12:13:14:16 S SD: 19.4552 cents 9:10:11:12:13:14:16:18 S SD: 14.4266 cents 10:11:12:13:14:16:18:20 S SD: 9.2450 cents 11:12:13:14:16:18:20:22 S SD: 7.8235 cents 20:22:24:26:29:32:36:40 SD: 5.0676 cents 25:27:30:32:36:40:45:50 SD: 4.3971 cents 31:34:37:40:45:50:56:63 SD: 4.0998 cents 32:35:38:41:46:51:57:65 SD: 3.6829 cents 34:37:40:44:49:54:61:69 SD: 3.3260 cents 38:41:45:49:55:61:68:77 SD: 2.6211 cents 45:49:53:58:65:72:81:91 SD: 2.1087 cents 48:52:57:62:69:77:86:97 SD: 1.9037 cents 58:63:69:75:84:93:104:117 SD: 1.3517 cents 69:75:82:89:100:110:124:139 SD: 1.2582 cents 70:76:83:90:101:112:126:141 SD: 1.1746 cents 90:98:107:116:130:144:162:182 SD: 0.8583 cents 103:112:122:133:149:165:185:208 SD: 0.8444 cents 113:123:134:146:163:181:203:228 SD: 0.8395 cents 117:127:139:151:169:187:210:236 SD: 0.6126 cents 160:174:190:206:231:256:287:323 SD: 0.5436 cents 162:176:192:209:234:259:291:327 SD: 0.4961 cents 182:198:216:235:263:291:327:367 SD: 0.4705 cents 207:225:246:267:299:331:372:418 SD: 0.3364 cents 252:274:299:325:364:403:453:509 SD: 0.2901 cents 310:337:368:400:448:496:557:626 SD: 0.2560 cents 332:361:394:428:480:531:596:670 SD: 0.2552 cents 342:372:406:441:494:547:614:690 SD: 0.2066 cents 412:448:489:531:595:659:740:832 SD: 0.1878 cents 422:459:501:544:610:675:758:852 SD: 0.1633 cents 470:511:558:606:679:752:844:949 SD: 0.1455 cents 481:523:571:620:695:769:864:971 SD: 0.1250 cents 539:586:640:695:779:862:968:1088 SD: 0.1182 cents 594:646:705:766:858:950:1067:1199 SD: 0.0974 cents