Scala analysis: China_Bells
Bells (Bells), China
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 313.000 cents 313.000000 2: 480.000 cents 480.000000 3: 724.000 cents 724.000000
SHOW/INTERVAL
0: 244.0000 cents 244.0000 1: 313.0000 cents 313.0000 2: 167.0000 cents 167.0000 3: 244.0000 cents 244.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 167.00000 cents 1: 1 244.00000 cents 1: 1 313.00000 cents 2: 1 411.00000 cents 2: 1 480.00000 cents 2: 1 557.00000 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 0.0 : 313.0 480.0 724.0 313.0: 167.0 411.0 724.0 480.0: 244.0 557.0 724.0 724.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 167.0000 .. 313.0000 cents 146.00000 cents 167.00000 cents 2: 411.0000 .. 557.0000 cents 146.00000 cents 98.00000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 167.00000 cents, class 1 Average step (divided formal octave): 241.3333 cents Largest one step interval : 313.00000 cents Average / Smallest step : 1.445110 Largest / Average step : 1.296961 Largest / Smallest step : 1.874251 Median interval of one step : 244.00000 cents, amount: 1 Least squares average step : 246.07143 cents, oct.: 738.21429 cents Scale is strictly proper Scale has trivalence property Scale is a mode of a 724-tone equal temperament with octave 724.000 cents degrees: 313 480 724 Least number of segments generator : 363 of 363.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 663 of 663.000 cents and inv. generated superset size: 22 = 19 more = 733.333% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABC Step pattern size order : LSM Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 98.00000 cents Scale diversity : 1.790462 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.596685 Rothenberg efficiency : 0.666667 redundancy: 0.333333 Efficiency x scale size : 2.000000 Number of different interval sizes : 6 = 3.00000 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 69.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 1 = 33.3333% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 41.4054 c. M: 71.6667 c. 4: 2 1 1 P M ME S SD: 46.0796 c. M:-63.0000 c. 5: 2 1 2 SP M ME I SD: 29.5912 c. M: 45.6000 c. 6: 3 1 2 P T3 SD: 28.3320 c. M:-49.0000 c. 7: 3 2 2 SP M ME S SD: 21.5016 c. M:-37.1429 c. 9: 4 2 3 SP T3 SD: 5.2966 c. M:-8.7778 c. 21: 9 5 7 SP T3 SD: 2.1969 c. M: 2.7143 c. 30: 13 7 10 SP T3 SD: 1.5968 c. M:-2.6667 c. 51: 22 12 17 SP T3 SD: 1.5898 c. M:-2.6667 c. 53: 23 12 18 SP T3 SD: 1.2875 c. M: 1.8868 c. 65: 28 15 22 SP T3 SD: 0.8861 c. M: 1.1231 c. 74: 32 17 25 SP T3 SD: 0.3465 c. M: 0.5946 c. 95: 41 22 32 SP T3 SD: 0.3184 c. M: 0.5368 c. 104: 45 24 35 SP T3 SD: 0.2532 c. M:-0.3462 c. 169: 73 39 57 SP T3 SD: 0.1886 c. M: 0.2663 c. 178: 77 41 60 SP T3 SD: 0.1133 c. M:-0.1910 c. 273: 118 63 92 SP T3 SD: 0.0369 c. M: 0.0623 c. 451: 195 104 152 SP T3 SD: 0.0224 c. M:-0.0377 c. 724: 313 167 244 SP T3 SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x 2 S SD: 476.0000 cents 2 x x 3 S SD: 22.0450 cents 3 x 4:5 S SD: 80.6854 cents 4:5 x 6 S SD: 38.2782 cents 6:7:8:9 H SD: 18.0724 cents 10:12:13:15 SD: 11.3425 cents 15:18:20:23 SD: 8.0883 cents 19:23:25:29 SD: 6.7029 cents 25:30:33:38 SD: 0.9532 cents 81:97:107:123 SD: 0.7648 cents 106:127:140:161 SD: 0.5621 cents 131:157:173:199 SD: 0.5064 cents 222:266:293:337 SD: 0.4778 cents 247:296:326:375 SD: 0.4203 cents 272:326:359:413 SD: 0.3931 cents 297:356:392:451 SD: 0.3873 cents 329:394:434:500 SD: 0.3873 cents 354:424:467:538 SD: 0.3224 cents 379:454:500:576 SD: 0.2762 cents 404:484:533:614 SD: 0.2478 cents 429:514:566:652 SD: 0.2357 cents 460:551:607:699 SD: 0.2124 cents 485:581:640:737 SD: 0.1816 cents 495:593:653:752 SD: 0.1664 cents 510:611:673:775 SD: 0.1653 cents 520:623:686:790 SD: 0.1294 cents 545:653:719:828 SD: 0.1071 cents 570:683:752:866 SD: 0.1027 cents