Scala analysis: Japan_Koto_master
Koto master (Koto), Japan
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 683.000 cents 683.000000 2: 868.000 cents 868.000000 3: 1020.000 cents 1020.000000 4: 1366.000 cents 1366.000000 5: 1473.000 cents 1473.000000 6: 1883.000 cents 1883.000000
SHOW/INTERVAL
0: 410.0000 cents 410.0000 1: 683.0000 cents 683.0000 2: 185.0000 cents 185.0000 3: 152.0000 cents 152.0000 4: 346.0000 cents 346.0000 5: 107.0000 cents 107.0000 6: 410.0000 cents 410.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 107.00000 cents 1: 1 152.00000 cents 1: 1 185.00000 cents 1: 1 346.00000 cents 1: 1 410.00000 cents 1: 1 683.00000 cents 2: 1 337.00000 cents 2: 1 453.00000 cents 2: 1 498.00000 cents 2: 1 517.00000 cents 2: 1 868.00000 cents 2: 1 1093.00000 cents 3: 1 605.00000 cents 3: 1 683.00000 cents 3: 1 863.00000 cents 3: 1 1020.00000 cents 3: 1 1200.00000 cents 3: 1 1278.00000 cents 4: 1 790.00000 cents 4: 1 1015.00000 cents 4: 1 1366.00000 cents 4: 1 1385.00000 cents 4: 1 1430.00000 cents 4: 1 1546.00000 cents 5: 1 1200.00000 cents 5: 1 1473.00000 cents 5: 1 1537.00000 cents 5: 1 1698.00000 cents 5: 1 1731.00000 cents 5: 1 1776.00000 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 : 683.0 868.0 1020.0 1366.0 1473.0 1883.0 683.0 : 185.0 337.0 683.0 790.0 1200.0 1883.0 868.0 : 152.0 498.0 605.0 1015.0 1698.0 1883.0 1020.0: 346.0 453.0 863.0 1546.0 1731.0 1883.0 1366.0: 107.0 517.0 1200.0 1385.0 1537.0 1883.0 1473.0: 410.0 1093.0 1278.0 1430.0 1776.0 1883.0 1883.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 107.0000 .. 683.0000 cents 576.00000 cents 107.00000 cents 2: 337.0000 .. 1093.0000 cents 756.00000 cents -346.00000 cents 3: 605.0000 .. 1278.0000 cents 673.00000 cents -488.00000 cents 4: 790.0000 .. 1546.0000 cents 756.00000 cents -488.00000 cents 5: 1200.0000 .. 1776.0000 cents 576.00000 cents -346.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 107.00000 cents, class 1 Average step (divided formal octave): 313.8333 cents Largest one step interval : 683.00000 cents Average / Smallest step : 2.933022 Largest / Average step : 2.176314 Largest / Smallest step : 6.383178 Median interval of one step : 265.50000 cents, amount: 0 Least squares average step : 325.34066 cents, oct.: 1952.04396 cents Scale is not proper Scale is a mode of a 1883-tone equal temperament with octave 1883.000 cents degrees: 683 868 1020 1366 1473 1883 Least number of segments generator : 942 of 942.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1283 of 1283.000 cents and inv. generated superset size: 224 = 218 more = 3733.333% 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 : 0.460741 Lumma stability : 0.113648 Lumma impropriety factor : 0.642061 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 : 683.00000 cents & inv., amount: 2 Most common triad is 0.0 683.000 1200.000 cents, amount: 1 Number of recognisable fifths : 0 Number of recognisable fourths : 1, average 498.0000 cents 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: 77.5902 c. M: 110.6667 c. 7: 2 1 1 1 0 2 N SD: 86.3201 c. M: 145.0000 c. 8: 3 1 0 2 0 2 N SD: 54.6640 c. M: 78.5000 c. 9: 3 1 1 2 0 2 N G SD: 49.1528 c. M:-98.5556 c. 11: 4 1 1 2 1 2 N SD: 28.2432 c. M:-67.6364 c. 13: 5 1 1 2 1 3 N SD: 32.2285 c. M: 62.3846 c. 15: 5 2 1 3 1 3 N SD: 28.1694 c. M: 55.3333 c. 17: 6 2 1 3 1 4 N SD: 24.6662 c. M: 36.8235 c. 19: 7 2 1 4 1 4 N SD: 19.0272 c. M: 28.9474 c. 22: 8 2 2 4 1 5 N SD: 9.4318 c. M: 17.9545 c. 33: 12 3 3 6 2 7 N SD: 7.3398 c. M: 12.0909 c. 41: 15 4 3 8 2 9 N SD: 7.0588 c. M:-11.8049 c. 50: 18 5 4 9 3 11 N SD: 5.2065 c. M: 10.2400 c. 61: 22 6 5 11 4 13 N SD: 5.2678 c. M:-8.7049 c. 69: 25 7 5 13 4 15 N SD: 4.7728 c. M: 10.2754 c. 72: 26 7 6 13 4 16 N SD: 4.8603 c. M: 8.4444 c. 74: 27 7 6 14 4 16 N SD: 4.1345 c. M:-8.0811 c. 83: 30 8 7 15 5 18 N SD: 3.3441 c. M: 5.9036 c. 91: 33 9 7 17 5 20 N SD: 2.9721 c. M: 6.0769 c. 102: 37 10 8 19 6 22 N SD: 2.4744 c. M: 4.6569 c. 124: 45 12 10 23 7 27 N SD: 1.4783 c. M: 2.5726 c. 212: 77 21 17 39 12 46 N SD: 1.5438 c. M:-2.4434 c. 234: 85 23 19 43 13 51 N SD: 1.3010 c. M:-1.9915 c. 262: 95 26 21 48 15 57 N SD: 0.7476 c. M:-1.6298 c. 284: 103 28 23 52 16 62 N SD: 0.6641 c. M: 1.0775 c. 336: 122 33 27 62 19 73 N SD: 0.7885 c. M:-1.4167 c. 345: 125 34 28 63 20 75 N SD: 0.7862 c. M: 1.5072 c. 358: 130 35 29 66 20 78 N SD: 0.7322 c. M:-1.5419 c. 386: 140 38 31 71 22 84 N SD: 0.2484 c. M: 0.4482 c. 670: 243 66 54 123 38 146 N SD: 0.2398 c. M:-0.4284 c. 703: 255 69 57 129 40 153 N SD: 0.2343 c. M:-0.5164 c. 794: 288 78 64 146 45 173 N SD: 0.1493 c. M: 0.2758 c. 1089: 395 107 88 200 62 237 N SD: 0.1088 c. M:-0.2011 c. 1475: 535 145 119 271 84 321 N SD: 0.0943 c. M:-0.2081 c. 1497: 543 147 121 275 85 326 N SD: 0.0641 c. M:-0.1156 c. 1883: 683 185 152 346 107 410 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x 2 x 3 S SD: 83.5394 cents 2:3 x x 4:5:6 S SD: 50.6918 cents 3:4:5 x x 7:9 SD: 46.6857 cents 4:6 x 7:9 x 12 SD: 17.2745 cents 6:9:10:11:13:14:18 SD: 8.5606 cents 11:16:18:20:24:26:33 SD: 8.3301 cents 14:21:23:25:31:33:42 SD: 5.9846 cents 15:22:25:27:33:35:45 SD: 5.4499 cents 20:30:33:36:44:47:59 SD: 3.7578 cents 25:37:41:45:55:59:74 SD: 3.1652 cents 29:43:48:52:64:68:86 SD: 1.8895 cents 35:52:58:63:77:82:104 SD: 1.2960 cents 60:89:99:108:132:140:178 SD: 1.1269 cents 66:98:109:119:145:155:196 SD: 1.0746 cents 85:126:140:153:187:199:252 SD: 0.8917 cents 91:135:150:164:200:213:270 SD: 0.6614 cents 120:178:198:216:264:281:356 SD: 0.4760 cents 126:187:208:227:277:295:374 SD: 0.4248 cents 178:264:294:321:392:417:528 SD: 0.2984 cents 223:331:368:402:491:522:662 SD: 0.2536 cents 238:353:393:429:524:557:706 SD: 0.2161 cents 269:399:444:485:592:630:798 SD: 0.1744 cents 298:442:492:537:656:698:884 SD: 0.1675 cents 304:451:502:548:669:712:902 SD: 0.1213 cents 492:730:812:887:1083:1152:1460 SD: 0.1195 cents 521:773:860:939:1147:1220:1546 SD: 0.0738 cents 527:782:870:950:1160:1234:1564 SD: 0.0685 cents