Scala analysis: Japan_Biwa
Biwa (Biwa), Japan
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 202.000 cents 202.000000 2: 281.000 cents 281.000000 3: 371.000 cents 371.000000 4: 466.000 cents 466.000000
SHOW/INTERVAL
0: 95.0000 cents 95.0000 1: 202.0000 cents 202.0000 2: 79.0000 cents 79.0000 3: 90.0000 cents 90.0000 4: 95.0000 cents 95.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 79.00000 cents 1: 1 90.00000 cents 1: 1 95.00000 cents 1: 1 202.00000 cents 2: 1 169.00000 cents 2: 1 185.00000 cents 2: 1 281.00000 cents 2: 1 297.00000 cents 3: 1 264.00000 cents 3: 1 371.00000 cents 3: 1 376.00000 cents 3: 1 387.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 0.0 : 202.0 281.0 371.0 466.0 202.0: 79.0 169.0 264.0 466.0 281.0: 90.0 185.0 387.0 466.0 371.0: 95.0 297.0 376.0 466.0 466.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 79.0000 .. 202.0000 cents 123.00000 cents 79.00000 cents 2: 169.0000 .. 297.0000 cents 128.00000 cents -33.00000 cents 3: 264.0000 .. 387.0000 cents 123.00000 cents -33.00000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 79.00000 cents, class 1 Average step (divided formal octave): 116.5000 cents Largest one step interval : 202.00000 cents Average / Smallest step : 1.474684 Largest / Average step : 1.733906 Largest / Smallest step : 2.556962 Median interval of one step : 92.50000 cents, amount: 0 Least squares average step : 124.70000 cents, oct.: 498.80000 cents Scale is not proper Scale is a mode of a 466-tone equal temperament with octave 466.000 cents degrees: 202 281 371 466 Least number of segments generator : 235 of 235.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 393 of 393.000 cents and inv. generated superset size: 48 = 44 more = 1200.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCD Step pattern size order : DABC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 17.00000 cents Scale diversity : 0.871553 Lumma stability : 0.339056 Lumma impropriety factor : 0.141631 Rothenberg efficiency : 0.500000 redundancy: 0.500000 Efficiency x scale size : 2.000000 Number of different interval sizes : 12 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 5.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 1 = 25.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 123.0000 cents: 1 -- Rational properties --
FIT/MODE
4: 2 0 1 1 N T3 SD: 30.5256 c. M: 48.0000 c. 5: 2 1 1 1 P M ME SD: 7.8829 c. M: 15.6000 c. 11: 5 2 2 2 N M DE SD: 10.5307 c. M:-15.5455 c. 13: 6 2 2 3 N SD: 9.5066 c. M:-13.0769 c. 14: 6 2 3 3 N SD: 7.8315 c. M: 14.7143 c. 15: 7 2 3 3 N SD: 7.8169 c. M:-15.4667 c. 16: 7 3 3 3 N M DE SD: 6.4560 c. M:-10.2500 c. 18: 8 3 3 4 N SD: 5.3290 c. M: 8.5556 c. 20: 9 3 4 4 N SD: 4.0153 c. M:-7.7000 c. 21: 9 4 4 4 N M DE SD: 5.0008 c. M:-7.4762 c. 23: 10 4 4 5 N SD: 3.4333 c. M: 6.3043 c. 25: 11 4 5 5 N SD: 1.9001 c. M:-3.0400 c. 30: 13 5 6 6 N SD: 1.1407 c. M:-1.8000 c. 53: 23 9 10 11 N SD: 0.8843 c. M: 1.7170 c. 58: 25 10 11 12 N SD: 0.9133 c. M: 1.4138 c. 78: 34 13 15 16 N SD: 0.6447 c. M:-1.1282 c. 83: 36 14 16 17 N SD: 0.2693 c. M: 0.4458 c. 171: 74 29 33 35 N SD: 0.2982 c. M: 0.3801 c. 196: 85 33 38 40 N SD: 0.2347 c. M: 0.4490 c. 254: 110 43 49 52 N SD: 0.2676 c. M: 0.4016 c. 265: 115 45 51 54 N SD: 0.2130 c. M:-0.3585 c. 270: 117 46 52 55 N SD: 0.1704 c. M:-0.3259 c. 295: 128 50 57 60 N SD: 0.1728 c. M:-0.2203 c. 300: 130 51 58 61 N SD: 0.1490 c. M:-0.2467 c. 348: 151 59 67 71 N SD: 0.1490 c. M:-0.2069 c. 353: 153 60 68 72 N SD: 0.0958 c. M:-0.1841 c. 378: 164 64 73 77 N SD: 0.1051 c. M:-0.1799 c. 383: 166 65 74 78 N SD: 0.0584 c. M:-0.0966 c. 466: 202 79 90 95 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x 2 S SD: 734.0000 cents 2 x x x 3 S SD: 235.9550 cents 3 x x x 4 S SD: 32.0450 cents 4 x x 5 x S SD: 15.3137 cents 5 x 6 x 7 S SD: 60.7765 cents 6 x 7 x 8 S SD: 17.5108 cents 7:8 x x 9 S SD: 21.2539 cents 8:9 x 10 x S SD: 7.7162 cents 9:10 x 11:12 S SD: 14.7854 cents 10:11:12 x 13 S SD: 17.3449 cents 11:12:13:14 x S SD: 23.2583 cents 12:13:14:15:16 H SD: 18.5136 cents 13 x 15:16:17 SD: 11.7451 cents 14:16 x 17:18 S SD: 18.3269 cents 15:17:18:19:20 SD: 15.6230 cents 16:18:19:20:21 S SD: 5.7755 cents 17:19:20:21:22 SD: 5.5996 cents 33:37:39:41:43 SD: 3.2202 cents 46:52:54:57:60 SD: 3.0909 cents 55:62:65:68:72 SD: 2.6243 cents 58:65:68:72:76 SD: 2.0750 cents 74:83:87:92:97 SD: 1.8236 cents 80:90:94:99:105 SD: 1.4603 cents 96:108:113:119:126 SD: 1.3411 cents 97:109:114:120:127 SD: 0.7591 cents 113:127:133:140:148 SD: 0.4021 cents 210:236:247:260:275 SD: 0.3794 cents 243:273:286:301:318 SD: 0.3211 cents 330:371:388:409:432 SD: 0.2983 cents 340:382:400:421:445 SD: 0.2935 cents 347:390:408:430:454 SD: 0.2535 cents 414:465:487:513:542 SD: 0.2487 cents 443:498:521:549:580 SD: 0.2271 cents 460:517:541:570:602 SD: 0.1106 cents 573:644:674:710:750 SD: 0.0693 cents