Scala analysis: Solomon_Islands_Xylophone_05
Xylophone 5 (Xylophone), Solomon Islands
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: 370.000 cents 370.000000 3: 685.000 cents 685.000000 4: 903.000 cents 903.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 297.0000 cents 297.0000 1: 202.0000 cents 202.0000 2: 168.0000 cents 168.0000 3: 315.0000 cents 315.0000 4: 218.0000 cents 218.0000 5: 297.0000 cents 297.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 168.00000 cents 1: 1 202.00000 cents 1: 1 218.00000 cents 1: 1 297.00000 cents 1: 1 315.00000 cents 2: 1 370.00000 cents 2: 1 483.00000 cents 2: 1 499.00000 cents 2: 1 515.00000 cents 2: 1 533.00000 cents 3: 1 667.00000 cents 3: 1 685.00000 cents 3: 1 701.00000 cents 3: 1 717.00000 cents 3: 1 830.00000 cents 4: 1 885.00000 cents 4: 1 903.00000 cents 4: 1 982.00000 cents 4: 1 998.00000 cents 4: 1 1032.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 202.0 370.0 685.0 903.0 1200.0 202.0 : 168.0 483.0 701.0 998.0 1200.0 370.0 : 315.0 533.0 830.0 1032.0 1200.0 685.0 : 218.0 515.0 717.0 885.0 1200.0 903.0 : 297.0 499.0 667.0 982.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 168.0000 .. 315.0000 cents 147.00000 cents 168.00000 cents 2: 370.0000 .. 533.0000 cents 163.00000 cents 55.00000 cents 3: 667.0000 .. 830.0000 cents 163.00000 cents 134.00000 cents 4: 885.0000 .. 1032.0000 cents 147.00000 cents 55.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 168.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 315.00000 cents Average / Smallest step : 1.428571 Largest / Average step : 1.312500 Largest / Smallest step : 1.875000 Median interval of one step : 218.00000 cents, amount: 1 Least squares average step : 229.25455 cents, oct.: 1146.27273 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 202 370 685 903 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 793 of 793.000 cents and inv. generated superset size: 156 = 151 more = 3120.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BAECD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 55.00000 cents Scale diversity : 1.525503 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.483333 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 16.00000 cents Number of recognisable fifths : 2, average 709.0000 cents Number of appreciable fifths : 1, average 701.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 163.0000 cents: 2 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 60.0300 c. M:-110.0000 c. 6: 1 1 1 2 1 P M ME S SD: 59.2250 c. M:-97.0000 c. 7: 1 1 2 1 2 P M ME S SD: 27.4763 c. M: 45.8571 c. Thai mode 1 11: 2 1 3 2 3 P T3 SD: 28.0406 c. M: 42.7273 c. 12: 2 2 3 2 3 SP M ME S SD: 15.0864 c. M:-30.0000 c. Major Pentatonic, Ryosen, Yona Nuki Major: Japan, Man Jue, Gong: China, Raga Bhopali (Bhup), Bilahari, Deskar, Kokila, Jait Kalyan, Mohanam, Peruvian Pentatonic 1, Ghana Pentatonic 2, Tizita Major: Ethiopia 16: 3 2 4 3 4 SP T3 SD: 11.5152 c. M:-23.0000 c. 17: 3 2 5 3 4 P SD: 14.4011 c. M:-20.8824 c. 19: 3 3 5 3 5 SP M DE S SD: 11.7031 c. M: 18.7895 c. Nineteen-tone Major Pentatonic 23: 4 3 6 4 6 SP T3 SD: 8.6083 c. M: 16.0435 c. 25: 4 4 6 5 6 SP T3 S SD: 10.4499 c. M:-14.0000 c. 28: 5 4 7 5 7 SP T3 SD: 9.0265 c. M:-15.7143 c. 29: 5 4 8 5 7 SP SD: 9.2096 c. M:-18.4483 c. 32: 5 5 8 6 8 SP T3 S SD: 8.2976 c. M: 14.5000 c. 35: 6 5 9 6 9 SP T3 SD: 6.3123 c. M: 11.5714 c. 37: 6 5 10 7 9 SP SD: 7.3712 c. M: 13.2432 c. 40: 7 5 11 7 10 SP SD: 6.2929 c. M: 10.0000 c. 42: 7 6 11 8 10 SP SD: 5.1753 c. M:-11.2857 c. 48: 8 7 12 9 12 SP SD: 5.2536 c. M: 10.0000 c. 49: 8 7 13 9 12 SP SD: 3.2950 c. M: 6.0816 c. 61: 10 9 16 11 15 SP SD: 3.4112 c. M: 5.2787 c. 65: 11 9 17 12 16 SP SD: 1.2696 c. M: 1.9231 c. 137: 23 19 36 25 34 SP SD: 1.3136 c. M: 2.1168 c. 142: 24 20 37 26 35 SP SD: 1.0737 c. M:-1.8310 c. 149: 25 21 39 27 37 SP SD: 0.6028 c. M: 0.9866 c. 214: 36 30 56 39 53 SP SD: 0.4130 c. M: 0.8879 c. 315: 53 44 83 57 78 SP SD: 0.3915 c. M:-0.7143 c. 363: 61 51 95 66 90 SP SD: 0.4351 c. M: 0.7025 c. 380: 64 53 100 69 94 SP SD: 0.2765 c. M: 0.5263 c. 457: 77 64 120 83 113 SP SD: 0.2400 c. M:-0.3392 c. 529: 89 74 139 96 131 SP SD: 0.1441 c. M: 0.2457 c. 671: 113 94 176 122 166 SP SD: 0.1136 c. M:-0.1937 c. 986: 166 138 259 179 244 SP SD: 0.0896 c. M:-0.1927 c. 1051: 177 147 276 191 260 SP SD: 0.0855 c. M:-0.1399 c. 1135: 191 159 298 206 281 SP SD: 0.0727 c. M:-0.1101 c. 1200: 202 168 315 218 297 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 8.4775 cents 3 x 4 x 5:6 S SD: 43.1316 cents 4 x 5:6:7:8 S SD: 17.4762 cents 5 x 6:7:8:10 S SD: 36.6022 cents 6:7 x 9:10:12 SD: 17.3983 cents 8:9:10:12:13:16 SD: 13.3567 cents 9:10:11:13:15:18 SD: 11.9712 cents 13:15:16:19:22:26 SD: 11.0428 cents 15:17:19:22:25:30 SD: 10.1689 cents 16:18:20:24:27:32 SD: 4.7559 cents 25:28:31:37:42:50 SD: 2.0241 cents 41:46:51:61:69:82 SD: 1.7966 cents 58:65:72:86:98:116 SD: 1.7472 cents 64:72:79:95:108:128 SD: 1.3127 cents 72:81:89:107:121:144 SD: 1.1282 cents 80:90:99:119:135:160 SD: 0.8746 cents 89:100:110:132:150:178 SD: 0.8463 cents 105:118:130:156:177:210 SD: 0.2268 cents 235:264:291:349:396:470 SD: 0.1509 cents 340:382:421:505:573:680 SD: 0.1414 cents 412:463:510:612:694:824 SD: 0.1266 cents 453:509:561:673:763:906 SD: 0.1158 cents 517:581:640:768:871:1034 SD: 0.1059 cents 542:609:671:805:913:1084 SD: 0.1026 cents 558:627:691:829:940:1116 SD: 0.0800 cents