Scala analysis: China_Pien-lo
Pien-lo (Yunluo), China
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 169.000 cents 169.000000 2: 367.000 cents 367.000000 3: 586.000 cents 586.000000 4: 674.000 cents 674.000000 5: 775.000 cents 775.000000 6: 1062.000 cents 1062.000000 7: 1176.000 cents 1176.000000
SHOW/INTERVAL
0: 114.0000 cents 114.0000 1: 169.0000 cents 169.0000 2: 198.0000 cents 198.0000 3: 219.0000 cents 219.0000 4: 88.0000 cents 88.0000 5: 101.0000 cents 101.0000 6: 287.0000 cents 287.0000 7: 114.0000 cents 114.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 88.00000 cents 1: 1 101.00000 cents 1: 1 114.00000 cents 1: 1 169.00000 cents 1: 1 198.00000 cents 1: 1 219.00000 cents 1: 1 287.00000 cents 2: 1 189.00000 cents 2: 1 283.00000 cents 2: 1 307.00000 cents 2: 1 367.00000 cents 2: 1 388.00000 cents 2: 1 401.00000 cents 2: 1 417.00000 cents 3: 1 408.00000 cents 3: 1 476.00000 cents 3: 1 481.00000 cents 3: 1 502.00000 cents 3: 1 505.00000 cents 3: 1 570.00000 cents 3: 1 586.00000 cents 4: 1 590.00000 cents 4: 1 606.00000 cents 4: 1 671.00000 cents 4: 1 674.00000 cents 4: 1 695.00000 cents 4: 1 700.00000 cents 4: 1 768.00000 cents 5: 1 759.00000 cents 5: 1 775.00000 cents 5: 1 788.00000 cents 5: 1 809.00000 cents 5: 1 869.00000 cents 5: 1 893.00000 cents 5: 1 987.00000 cents 6: 1 889.00000 cents 6: 1 957.00000 cents 6: 1 978.00000 cents 6: 1 1007.00000 cents 6: 1 1062.00000 cents 6: 1 1075.00000 cents 6: 1 1088.00000 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 : 169.0 367.0 586.0 674.0 775.0 1062.0 1176.0 169.0 : 198.0 417.0 505.0 606.0 893.0 1007.0 1176.0 367.0 : 219.0 307.0 408.0 695.0 809.0 978.0 1176.0 586.0 : 88.0 189.0 476.0 590.0 759.0 957.0 1176.0 674.0 : 101.0 388.0 502.0 671.0 869.0 1088.0 1176.0 775.0 : 287.0 401.0 570.0 768.0 987.0 1075.0 1176.0 1062.0: 114.0 283.0 481.0 700.0 788.0 889.0 1176.0 1176.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 88.0000 .. 287.0000 cents 199.00000 cents 88.00000 cents 2: 189.0000 .. 417.0000 cents 228.00000 cents -98.00000 cents 3: 408.0000 .. 586.0000 cents 178.00000 cents -9.00000 cents 4: 590.0000 .. 768.0000 cents 178.00000 cents 4.00000 cents 5: 759.0000 .. 987.0000 cents 228.00000 cents -9.00000 cents 6: 889.0000 .. 1088.0000 cents 199.00000 cents -98.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 88.00000 cents, class 1 Average step (divided formal octave): 168.0000 cents Largest one step interval : 287.00000 cents Average / Smallest step : 1.909091 Largest / Average step : 1.708333 Largest / Smallest step : 3.261364 Median interval of one step : 169.00000 cents, amount: 1 Least squares average step : 170.25714 cents, oct.: 1191.80000 cents Scale is not proper Scale is a mode of a 1176-tone equal temperament with octave 1176.000 cents degrees: 169 367 586 674 775 1062 1176 Least number of segments generator : 589 of 589.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1021 of 1021.000 cents and inv. generated superset size: 309 = 302 more = 4414.286% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : DEFABGC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.00000 cents Scale diversity : 1.656534 Lumma stability : 0.153061 Lumma impropriety factor : 0.181973 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 : 3.00000 cents Number of recognisable fifths : 2, average 697.5000 cents Number of recognisable fourths : 3, average 496.0000 cents Number of appreciable fourths : 2, average 503.5000 cents Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 1 1 1 0 2 1 N T3 SD: 55.0519 c. M: 103.0000 c. 8: 1 1 2 0 1 2 1 N D3 SD: 47.6625 c. M: 86.0000 c. 9: 1 2 1 1 1 2 1 P M ME I SD: 31.3766 c. M: 63.3333 c. 10: 1 2 2 1 1 2 1 P D3 S SD: 29.7186 c. M: 51.4000 c. 12: 2 2 2 1 1 3 1 N T3 SD: 16.2085 c. M:-27.0000 c. Harmonic Lydian, Mela Latangi, Raga Gitapriya, Hamsalata 18: 3 3 3 1 2 4 2 N SD: 17.5006 c. M:-27.0000 c. 20: 3 3 4 1 2 5 2 N SD: 12.6805 c. M: 27.2000 c. 21: 3 4 3 2 2 5 2 N SD: 14.0966 c. M: 26.0000 c. 22: 3 4 4 2 2 5 2 N SD: 13.8195 c. M:-26.8182 c. 23: 3 4 4 2 2 6 2 N SD: 12.9317 c. M: 23.5652 c. 26: 4 4 5 2 2 6 3 N SD: 10.0008 c. M: 21.6923 c. 27: 4 4 5 2 3 6 3 N SD: 14.8739 c. M: 20.6667 c. 28: 4 5 5 2 2 7 3 N SD: 9.5244 c. M: 19.0000 c. 30: 4 5 6 2 3 7 3 N SD: 8.5038 c. M: 14.2000 c. 32: 5 5 6 2 3 8 3 N SD: 7.5846 c. M:-14.7500 c. 38: 5 7 7 3 3 9 4 N SD: 7.2791 c. M: 14.2632 c. 42: 6 7 8 3 4 10 4 N SD: 3.8359 c. M:-9.0000 c. 44: 6 8 8 3 4 11 4 N SD: 5.5331 c. M: 8.6364 c. 49: 7 8 9 4 4 12 5 N SD: 5.8432 c. M: 10.0000 c. 50: 7 9 9 4 4 12 5 N SD: 5.2025 c. M:-9.3200 c. 54: 8 9 10 4 5 13 5 N SD: 4.6293 c. M:-9.0000 c. 58: 8 10 11 4 5 14 6 N SD: 4.7399 c. M: 7.6552 c. 61: 9 10 11 5 5 15 6 N SD: 3.7299 c. M: 7.6393 c. 64: 9 11 12 5 5 16 6 N SD: 3.3065 c. M:-5.8750 c. 70: 10 12 13 5 6 17 7 N SD: 2.1896 c. M: 3.6000 c. 103: 15 17 19 8 9 25 10 N SD: 1.8384 c. M: 3.7087 c. 105: 15 18 19 8 9 26 10 N SD: 2.1896 c. M: 3.6000 c. 106: 15 18 20 8 9 26 10 N SD: 2.1035 c. M:-3.0566 c. 112: 16 19 21 8 10 27 11 N SD: 1.4880 c. M:-2.0000 c. 147: 21 25 27 11 13 36 14 N SD: 1.4639 c. M: 2.0000 c. 161: 23 27 30 12 14 39 16 N SD: 1.6771 c. M: 2.8696 c. 164: 24 27 31 12 14 40 16 N SD: 1.5174 c. M:-3.0976 c. 167: 24 28 31 13 14 41 16 N SD: 1.1340 c. M:-2.0240 c. 173: 25 29 32 13 15 42 17 N SD: 0.9523 c. M: 1.5607 c. 209: 30 35 39 16 18 51 20 N SD: 1.0788 c. M:-1.4976 c. 215: 31 36 40 16 19 52 21 N SD: 0.9472 c. M:-1.7070 c. 225: 32 38 42 17 19 55 22 N SD: 1.0593 c. M: 1.7467 c. 237: 34 40 44 18 20 58 23 N SD: 0.5237 c. M: 0.9241 c. 279: 40 47 52 21 24 68 27 N SD: 0.3345 c. M:-0.5699 c. 349: 50 59 65 26 30 85 34 N SD: 0.3337 c. M: 0.5673 c. 452: 65 76 84 34 39 110 44 N SD: 0.3281 c. M: 0.6018 c. 516: 74 87 96 39 44 126 50 N SD: 0.2893 c. M:-0.6047 c. 548: 79 92 102 41 47 134 53 N SD: 0.2648 c. M:-0.5328 c. 586: 84 99 109 44 50 143 57 N SD: 0.2964 c. M: 0.4266 c. 590: 85 99 110 44 51 144 57 N SD: 0.2944 c. M:-0.4237 c. 628: 90 106 117 47 54 153 61 N SD: 0.2311 c. M: 0.4650 c. 660: 95 111 123 49 57 161 64 N SD: 0.2262 c. M: 0.4727 c. 724: 104 122 135 54 62 177 70 N SD: 0.2048 c. M:-0.3757 c. 815: 117 137 152 61 70 199 79 N SD: 0.2204 c. M: 0.4920 c. 827: 119 139 154 62 71 202 80 N SD: 0.1408 c. M:-0.2394 c. 897: 129 151 167 67 77 219 87 N SD: 0.1040 c. M: 0.1773 c. 1176: 169 198 219 88 101 287 114 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 24.0000 cents 2 x x x 3 x x 4 S SD: 18.4220 cents 3 x x 4 x 5 x 6 S SD: 47.4592 cents 4 x 5 x 6 x 7:8 S SD: 25.5097 cents 5 x 6:7 x 8:9:10 S SD: 16.3636 cents 6:7 x 8:9 x 11:12 SD: 27.4459 cents 7:8:9:10 x 11:13:14 SD: 16.8480 cents 8:9:10:11:12:13:15:16 SD: 13.6546 cents 9:10:11 x 13:14:17:18 SD: 10.7538 cents 12:13:15:17:18:19:22:24 SD: 8.4849 cents 17:19:21:24:25:27:31:34 SD: 7.0641 cents 20:22:25:28:30:31:37:39 SD: 6.1446 cents 21:23:26:29:31:33:39:41 SD: 5.2377 cents 25:28:31:35:37:39:46:49 SD: 4.4965 cents 27:30:33:38:40:42:50:53 SD: 4.1188 cents 29:32:36:41:43:45:54:57 SD: 3.9076 cents 30:33:37:42:44:47:55:59 SD: 2.6884 cents 38:42:47:53:56:59:70:75 SD: 2.5748 cents 39:43:48:55:58:61:72:77 SD: 2.5366 cents 42:46:52:59:62:66:78:83 SD: 2.5016 cents 46:51:57:65:68:72:85:91 SD: 2.4857 cents 47:52:58:66:69:74:87:93 SD: 2.4651 cents 48:53:59:67:71:75:89:95 SD: 2.3865 cents 50:55:62:70:74:78:92:99 SD: 1.9693 cents 59:65:73:83:87:92:109:116 SD: 1.4095 cents 67:74:83:94:99:105:124:132 SD: 1.0376 cents 97:107:120:136:143:152:179:191 SD: 0.7170 cents 136:150:168:191:201:213:251:268 SD: 0.6017 cents 149:164:184:209:220:233:275:294 SD: 0.5439 cents 156:172:193:219:230:244:288:308 SD: 0.4690 cents 204:225:252:286:301:319:377:402 SD: 0.4141 cents 216:238:267:303:319:338:399:426 SD: 0.2261 cents 360:397:445:505:531:563:665:710 SD: 0.2200 cents 372:410:460:522:549:582:687:734 SD: 0.1671 cents 437:482:540:613:645:684:807:862 SD: 0.1601 cents 496:547:613:696:732:776:916:978 SD: 0.1418 cents 517:570:639:725:763:809:955:1020 SD: 0.1291 cents 546:602:675:766:806:854:1008:1077 SD: 0.1282 cents 576:635:712:808:850:901:1064:1136 SD: 0.1082 cents