Scala analysis: Japan_Koto_female
Koto female (Koto), Japan
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 719.000 cents 719.000000 2: 912.000 cents 912.000000 3: 1076.000 cents 1076.000000 4: 1438.000 cents 1438.000000 5: 1520.000 cents 1520.000000 6: 1918.000 cents 1918.000000
SHOW/INTERVAL
0: 398.0000 cents 398.0000 1: 719.0000 cents 719.0000 2: 193.0000 cents 193.0000 3: 164.0000 cents 164.0000 4: 362.0000 cents 362.0000 5: 82.0000 cents 82.0000 6: 398.0000 cents 398.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 82.00000 cents 1: 1 164.00000 cents 1: 1 193.00000 cents 1: 1 362.00000 cents 1: 1 398.00000 cents 1: 1 719.00000 cents 2: 1 357.00000 cents 2: 1 444.00000 cents 2: 1 480.00000 cents 2: 1 526.00000 cents 2: 1 912.00000 cents 2: 1 1117.00000 cents 3: 1 608.00000 cents 3: 1 719.00000 cents 3: 1 842.00000 cents 3: 1 1076.00000 cents 3: 1 1199.00000 cents 3: 1 1310.00000 cents 4: 1 801.00000 cents 4: 1 1006.00000 cents 4: 1 1392.00000 cents 4: 1 1438.00000 cents 4: 1 1474.00000 cents 4: 1 1561.00000 cents 5: 1 1199.00000 cents 5: 1 1520.00000 cents 5: 1 1556.00000 cents 5: 1 1725.00000 cents 5: 1 1754.00000 cents 5: 1 1836.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 719.0 912.0 1076.0 1438.0 1520.0 1918.0 719.0 : 193.0 357.0 719.0 801.0 1199.0 1918.0 912.0 : 164.0 526.0 608.0 1006.0 1725.0 1918.0 1076.0: 362.0 444.0 842.0 1561.0 1754.0 1918.0 1438.0: 82.0 480.0 1199.0 1392.0 1556.0 1918.0 1520.0: 398.0 1117.0 1310.0 1474.0 1836.0 1918.0 1918.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 82.0000 .. 719.0000 cents 637.00000 cents 82.00000 cents 2: 357.0000 .. 1117.0000 cents 760.00000 cents -362.00000 cents 3: 608.0000 .. 1310.0000 cents 702.00000 cents -509.00000 cents 4: 801.0000 .. 1561.0000 cents 760.00000 cents -509.00000 cents 5: 1199.0000 .. 1836.0000 cents 637.00000 cents -362.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 82.00000 cents, class 1 Average step (divided formal octave): 319.6667 cents Largest one step interval : 719.00000 cents Average / Smallest step : 3.898374 Largest / Average step : 2.249218 Largest / Smallest step : 8.768293 Median interval of one step : 277.50000 cents, amount: 0 Least squares average step : 336.60440 cents, oct.: 2019.62637 cents Scale is not proper Scale is a mode of a 1918-tone equal temperament with octave 1918.000 cents degrees: 719 912 1076 1438 1520 1918 Least number of segments generator : 961 of 961.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1573 of 1573.000 cents and inv. generated superset size: 91 = 85 more = 1516.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : FCBDAE Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 0.439160 Lumma stability : 0.085506 Lumma impropriety factor : 0.627737 Rothenberg efficiency : 0.355556 redundancy: 0.644444 Efficiency x scale size : 2.133333 Number of different interval sizes : 28 = 5.60000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 5.00000 cents Most common intervals : 719.00000 cents & inv., amount: 2 Most common triad is 0.0 719.000 1199.000 cents, amount: 1 Number of recognisable fifths : 2, average 719.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 1, average 480.0000 cents Number of appreciable fourths : 0 Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
6: 2 1 0 1 1 1 N T3 SD: 94.6643 c. M: 159.3333 c. 7: 2 1 1 1 0 2 N SD: 103.9752 c. M: 171.0000 c. 8: 3 1 0 2 0 2 N SD: 61.2924 c. M: 117.0000 c. 9: 3 1 1 2 0 2 N G SD: 47.7690 c. M: 79.6667 c. 10: 4 1 1 2 0 2 N SD: 57.1950 c. M:-96.4000 c. 11: 4 1 1 2 1 2 N SD: 34.7672 c. M:-49.2727 c. 13: 5 1 1 3 0 3 N SD: 32.4629 c. M: 44.6154 c. 16: 6 2 1 3 1 3 N SD: 24.7999 c. M:-47.0000 c. 19: 7 2 2 3 1 4 N SD: 18.2359 c. M:-34.4211 c. 21: 8 2 2 4 1 4 N SD: 18.9272 c. M:-32.6667 c. 23: 9 2 2 4 1 5 N SD: 17.6094 c. M:-31.5217 c. 25: 9 3 2 5 1 5 N SD: 15.7395 c. M: 28.5200 c. 27: 10 3 2 5 1 6 N SD: 15.3284 c. M: 28.2222 c. 29: 11 3 2 6 1 6 N SD: 12.0745 c. M: 17.7931 c. 32: 12 3 3 6 1 7 N SD: 10.3352 c. M: 21.5625 c. 43: 16 4 4 8 2 9 N SD: 9.8325 c. M: 19.9070 c. 45: 17 4 4 9 2 9 N SD: 11.2453 c. M: 16.9333 c. 48: 18 5 4 9 2 10 N SD: 3.1799 c. M:-7.0417 c. 91: 34 9 8 17 4 19 N SD: 3.3678 c. M: 5.6923 c. 107: 40 11 9 20 5 22 N SD: 2.5205 c. M: 3.9813 c. 120: 45 12 10 23 5 25 N SD: 2.2324 c. M: 5.1167 c. 139: 52 14 12 26 6 29 N SD: 1.6977 c. M: 2.9496 c. 160: 60 16 14 30 7 33 N SD: 1.5969 c. M:-2.8750 c. 168: 63 17 14 32 7 35 N SD: 1.4506 c. M: 2.8333 c. 187: 70 19 16 35 8 39 N SD: 1.3533 c. M: 2.0642 c. 208: 78 21 18 39 9 43 N SD: 1.3904 c. M:-2.8750 c. 221: 83 22 19 42 9 46 N SD: 1.3519 c. M:-2.6697 c. 232: 87 23 20 44 10 48 N SD: 1.2942 c. M: 2.6034 c. 259: 97 26 22 49 11 54 N SD: 1.4179 c. M: 2.2162 c. 269: 101 27 23 51 11 56 N SD: 1.2257 c. M:-2.2825 c. 275: 103 28 23 52 12 57 N SD: 1.1970 c. M: 1.9200 c. 280: 105 28 24 53 12 58 N SD: 0.5784 c. M: 0.9500 c. 328: 123 33 28 62 14 68 N SD: 0.2878 c. M:-0.5000 c. 515: 193 52 44 97 22 107 N SD: 0.3600 c. M: 0.4971 c. 608: 228 61 52 115 26 126 N SD: 0.3565 c. M:-0.5197 c. 747: 280 75 64 141 32 155 N SD: 0.2260 c. M: 0.5007 c. 795: 298 80 68 150 34 165 N SD: 0.0594 c. M: 0.1031 c. 1123: 421 113 96 212 48 233 N SD: 0.0420 c. M:-0.0730 c. 1918: 719 193 164 362 82 398 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x 2 x x 3 S SD: 62.5169 cents 2:3 x 4 x 5:6 S SD: 35.6384 cents 3 x 5:6:7 x 9 SD: 32.8167 cents 4:6:7 x 9:10:12 SD: 19.3254 cents 5:8 x 9:11:12:15 SD: 26.8189 cents 6:9:10:11:14 x 18 SD: 10.6866 cents 10:15:17:19:23:24:30 SD: 7.1991 cents 13:20:22:24:30:31:39 SD: 6.5057 cents 14:21:24:26:32:34:42 SD: 6.0545 cents 17:26:29:32:39:41:51 SD: 5.4548 cents 20:30:34:37:46:48:61 SD: 4.2416 cents 23:35:39:43:53:55:70 SD: 3.1769 cents 27:41:46:50:62:65:82 SD: 2.5854 cents 29:44:49:54:67:70:88 SD: 2.3894 cents 35:53:59:65:80:84:106 SD: 2.0282 cents 37:56:63:69:85:89:112 SD: 1.6917 cents 52:79:88:97:119:125:157 SD: 1.5614 cents 58:88:98:108:133:140:176 SD: 1.3891 cents 62:94:105:115:142:149:188 SD: 1.3450 cents 64:97:108:119:147:154:194 SD: 1.1733 cents 66:100:112:123:151:159:200 SD: 1.1704 cents 72:109:122:134:165:173:218 SD: 0.6114 cents 101:153:171:188:232:243:306 SD: 0.3458 cents 173:262:293:322:397:416:524 SD: 0.2230 cents 268:406:454:499:615:645:811 SD: 0.2139 cents 313:474:530:583:718:753:948 SD: 0.2113 cents 326:494:552:607:748:784:987 SD: 0.1801 cents 369:559:625:687:847:888:1117 SD: 0.1353 cents 404:612:684:752:927:972:1223 SD: 0.1173 cents 441:668:747:821:1012:1061:1335 SD: 0.0999 cents 542:821:918:1009:1244:1304:1641 SD: 0.0809 cents 571:865:967:1063:1310:1374:1729 SD: 0.0758 cents