Scala analysis: Ghana_Balafons_02
Balafons 2 (Balafon), Ghana
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 151.000 cents 151.000000 2: 345.000 cents 345.000000 3: 526.000 cents 526.000000 4: 660.000 cents 660.000000 5: 861.000 cents 861.000000 6: 1025.000 cents 1025.000000 7: 1141.000 cents 1141.000000
SHOW/INTERVAL
0: 116.0000 cents 116.0000 1: 151.0000 cents 151.0000 2: 194.0000 cents 194.0000 3: 181.0000 cents 181.0000 4: 134.0000 cents 134.0000 5: 201.0000 cents 201.0000 6: 164.0000 cents 164.0000 7: 116.0000 cents 116.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 116.00000 cents 1: 1 134.00000 cents 1: 1 151.00000 cents 1: 1 164.00000 cents 1: 1 181.00000 cents 1: 1 194.00000 cents 1: 1 201.00000 cents 2: 1 267.00000 cents 2: 1 280.00000 cents 2: 1 315.00000 cents 2: 1 335.00000 cents 2: 1 345.00000 cents 2: 1 365.00000 cents 2: 1 375.00000 cents 3: 1 431.00000 cents 3: 1 461.00000 cents 3: 1 481.00000 cents 3: 1 499.00000 cents 3: 1 509.00000 cents 3: 1 516.00000 cents 3: 1 526.00000 cents 4: 1 615.00000 cents 4: 1 625.00000 cents 4: 1 632.00000 cents 4: 1 642.00000 cents 4: 1 660.00000 cents 4: 1 680.00000 cents 4: 1 710.00000 cents 5: 1 766.00000 cents 5: 1 776.00000 cents 5: 1 796.00000 cents 5: 1 806.00000 cents 5: 1 826.00000 cents 5: 1 861.00000 cents 5: 1 874.00000 cents 6: 1 940.00000 cents 6: 1 947.00000 cents 6: 1 960.00000 cents 6: 1 977.00000 cents 6: 1 990.00000 cents 6: 1 1007.00000 cents 6: 1 1025.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 151.0 345.0 526.0 660.0 861.0 1025.0 1141.0 151.0 : 194.0 375.0 509.0 710.0 874.0 990.0 1141.0 345.0 : 181.0 315.0 516.0 680.0 796.0 947.0 1141.0 526.0 : 134.0 335.0 499.0 615.0 766.0 960.0 1141.0 660.0 : 201.0 365.0 481.0 632.0 826.0 1007.0 1141.0 861.0 : 164.0 280.0 431.0 625.0 806.0 940.0 1141.0 1025.0: 116.0 267.0 461.0 642.0 776.0 977.0 1141.0 1141.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 116.0000 .. 201.0000 cents 85.00000 cents 116.00000 cents 2: 267.0000 .. 375.0000 cents 108.00000 cents 66.00000 cents 3: 431.0000 .. 526.0000 cents 95.00000 cents 56.00000 cents 4: 615.0000 .. 710.0000 cents 95.00000 cents 89.00000 cents 5: 766.0000 .. 874.0000 cents 108.00000 cents 56.00000 cents 6: 940.0000 .. 1025.0000 cents 85.00000 cents 66.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 116.00000 cents, class 1 Average step (divided formal octave): 163.0000 cents Largest one step interval : 201.00000 cents Average / Smallest step : 1.405172 Largest / Average step : 1.233129 Largest / Smallest step : 1.732759 Median interval of one step : 164.00000 cents, amount: 1 Least squares average step : 167.86429 cents, oct.: 1175.05000 cents Scale is strictly proper Scale is a mode of a 1141-tone equal temperament with octave 1141.000 cents degrees: 151 345 526 660 861 1025 1141 Least number of segments generator : 571 of 571.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 738 of 738.000 cents and inv. generated superset size: 230 = 223 more = 3285.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : CFEBGDA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 56.00000 cents Scale diversity : 1.664282 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.495180 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 7.00000 cents Number of recognisable fifths : 1, average 710.0000 cents Number of recognisable fourths : 3, average 496.3333 cents Number of appreciable fourths : 2, average 504.0000 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 95.0000 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 29.9118 c. M: 47.0000 c. Lebeng 9: 1 2 1 1 2 1 1 P M ME S SD: 22.9571 c. M:-35.3333 c. Pelog Saptanada: Sunda 12: 2 2 2 1 2 2 1 P M ME S SD: 27.4095 c. M:-44.5000 c. G.Hypolydian, M.Lydian, G.M.Hypolocrian, Rut biscale ascending, Kalyan That (Yaman), Mela Mecakalyani, Raga Chandrakant, Malarani, Shuddh Kalyan, Ping, Kung, Gu: China 13: 2 2 2 2 2 2 1 SP M ME S SD: 22.3351 c. M:-42.1538 c. Ryonian 16: 2 3 2 2 3 2 2 SP M ME S SD: 16.8607 c. M: 26.8125 c. Mavila-7, Antiaeolian 17: 2 3 3 2 3 2 2 P D3 SD: 12.4195 c. M: 18.2353 c. 21: 3 3 4 2 4 3 2 SP T3 SD: 11.9084 c. M: 19.0000 c. 22: 3 4 3 3 4 3 2 SP T3 S SD: 12.9929 c. M:-20.6818 c. 24: 3 4 4 3 4 3 3 SP D3 SD: 11.9287 c. M: 26.6250 c. 26: 3 5 4 3 5 3 3 P SD: 11.5774 c. M: 19.3462 c. 28: 4 4 5 3 5 4 3 SP T3 SD: 9.6339 c. M: 19.0000 c. 29: 4 5 4 4 5 4 3 SP T3 S SD: 7.9105 c. M: 14.5172 c. 30: 4 5 5 3 6 4 3 SP SD: 7.7826 c. M:-13.7667 c. 31: 4 5 5 4 5 5 3 SP SD: 8.9770 c. M: 14.4516 c. 33: 4 6 5 4 6 5 3 SP SD: 7.4404 c. M: 12.6970 c. 37: 5 6 6 4 7 5 4 SP SD: 6.1026 c. M: 12.4054 c. 40: 5 7 6 5 7 6 4 SP SD: 6.3416 c. M: 12.5500 c. 41: 5 7 7 5 7 6 4 SP SD: 7.1462 c. M: 11.8537 c. 45: 6 8 7 5 8 6 5 SP SD: 6.1012 c. M: 10.7778 c. 46: 6 8 7 6 8 6 5 SP SD: 5.9265 c. M:-9.7174 c. 50: 7 8 8 6 9 7 5 SP SD: 4.3045 c. M:-8.7400 c. 52: 7 9 8 6 9 8 5 SP SD: 4.0382 c. M:-6.2885 c. 60: 8 10 10 7 10 9 6 SP SD: 4.0132 c. M:-6.4667 c. 61: 8 10 10 7 11 9 6 SP SD: 4.1228 c. M: 8.3115 c. 62: 8 11 10 7 11 9 6 SP SD: 4.6021 c. M:-7.6935 c. 66: 9 11 10 8 12 9 7 SP SD: 4.1732 c. M: 7.3636 c. 67: 9 11 11 8 12 9 7 SP SD: 4.0083 c. M:-7.5224 c. 69: 9 12 11 8 12 10 7 SP SD: 1.8215 c. M:-3.1594 c. 106: 14 18 17 12 19 15 11 SP SD: 1.6797 c. M: 3.3868 c. 119: 16 20 19 14 21 17 12 SP SD: 1.4567 c. M:-2.4118 c. 126: 17 21 20 15 22 18 13 SP SD: 1.4475 c. M:-2.9444 c. 135: 18 23 21 16 24 19 14 SP SD: 1.4501 c. M: 2.3259 c. 159: 21 27 25 19 28 23 16 SP SD: 0.9596 c. M: 2.1447 c. 175: 23 30 28 20 31 25 18 SP SD: 1.1988 c. M:-2.1200 c. 176: 23 30 28 21 31 25 18 SP SD: 1.1902 c. M: 1.8920 c. 188: 25 32 30 22 33 27 19 SP SD: 1.1330 c. M:-2.0160 c. 195: 26 33 31 23 34 28 20 SP SD: 0.8397 c. M:-1.1949 c. 228: 30 39 36 27 40 33 23 SP SD: 0.5783 c. M:-0.8991 c. 265: 35 45 42 31 47 38 27 SP SD: 0.5974 c. M: 1.2340 c. 325: 43 55 52 38 57 47 33 SP SD: 0.5393 c. M: 0.9446 c. 334: 44 57 53 39 59 48 34 SP SD: 0.3748 c. M: 0.6886 c. 453: 60 77 72 53 80 65 46 SP SD: 0.2386 c. M:-0.4216 c. 612: 81 104 97 72 108 88 62 SP SD: 0.2246 c. M:-0.4085 c. 681: 90 116 108 80 120 98 69 SP SD: 0.2020 c. M:-0.3921 c. 688: 91 117 109 81 121 99 70 SP SD: 0.1571 c. M: 0.2776 c. 807: 107 137 128 95 142 116 82 SP SD: 0.1551 c. M:-0.2850 c. 913: 121 155 145 107 161 131 93 SP SD: 0.1444 c. M: 0.2245 c. 1022: 135 174 162 120 180 147 104 SP SD: 0.1696 c. M: 0.2808 c. 1072: 142 182 170 126 189 154 109 SP SD: 0.1172 c. M: 0.2034 c. 1141: 151 194 181 134 201 164 116 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 59.0000 cents 2 x x x 3 x x 4 S SD: 36.1981 cents 3 x x 4 x 5 x 6 S SD: 23.1135 cents 4 x 5 x 6 x 7:8 S SD: 25.1291 cents 5 x 6:7 x 8:9:10 S SD: 19.8292 cents 6 x 7:8:9:10:11:12 S SD: 19.1964 cents 7:8:9 x 10:12:13:14 S SD: 27.4949 cents 8:9:10:11:12:13:14:15 H SD: 16.4520 cents 9:10:11:12:13:15:16:17 SD: 10.3982 cents 11:12:13:15:16:18:20:21 SD: 9.0296 cents 14:15:17:19:21:23:25:27 SD: 8.2183 cents 17:19:21:23:25:28:31:33 SD: 7.1657 cents 19:21:23:26:28:31:34:37 SD: 6.0113 cents 20:22:24:27:29:33:36:39 SD: 5.8905 cents 22:24:27:30:32:36:40:43 SD: 4.2343 cents 31:34:38:42:45:51:56:60 SD: 2.7186 cents 42:46:51:57:61:69:76:81 SD: 2.6429 cents 45:49:55:61:66:74:81:87 SD: 1.3032 cents 73:80:89:99:107:120:132:141 SD: 1.1822 cents 76:83:93:103:111:125:137:147 SD: 1.1551 cents 87:95:106:118:127:143:157:168 SD: 1.0313 cents 90:98:110:122:132:148:163:174 SD: 0.8917 cents 99:108:121:134:145:163:179:191 SD: 0.7313 cents 110:120:134:149:161:181:199:213 SD: 0.7016 cents 121:132:148:164:177:199:219:234 SD: 0.6629 cents 132:144:161:179:193:217:239:255 SD: 0.5983 cents 155:169:189:210:227:255:280:300 SD: 0.4941 cents 177:193:216:240:259:291:320:342 SD: 0.2956 cents 295:322:360:400:432:485:533:570 SD: 0.2582 cents 327:357:399:443:479:538:591:632 SD: 0.2564 cents 340:371:415:461:498:559:615:657 SD: 0.2562 cents 349:381:426:473:511:574:631:675 SD: 0.2090 cents 386:421:471:523:565:635:698:746 SD: 0.2001 cents 394:430:481:534:577:648:712:762 SD: 0.1995 cents 416:454:508:564:609:684:752:804 SD: 0.1965 cents 431:470:526:584:631:709:779:833 SD: 0.1889 cents 448:489:547:607:656:737:810:866 SD: 0.1809 cents 495:540:604:671:725:814:895:957 SD: 0.1720 cents 504:550:615:683:738:829:911:974 SD: 0.1251 cents 526:574:642:713:770:865:951:1017 SD: 0.1225 cents