Scala analysis: Myanmar_Balafong
Balafong (Balafon), Myanmar
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 114.000 cents 114.000000 2: 350.000 cents 350.000000 3: 550.000 cents 550.000000 4: 687.000 cents 687.000000 5: 838.000 cents 838.000000 6: 1032.000 cents 1032.000000 7: 1196.000 cents 1196.000000
SHOW/INTERVAL
0: 164.0000 cents 164.0000 1: 114.0000 cents 114.0000 2: 236.0000 cents 236.0000 3: 200.0000 cents 200.0000 4: 137.0000 cents 137.0000 5: 151.0000 cents 151.0000 6: 194.0000 cents 194.0000 7: 164.0000 cents 164.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 114.00000 cents 1: 1 137.00000 cents 1: 1 151.00000 cents 1: 1 164.00000 cents 1: 1 194.00000 cents 1: 1 200.00000 cents 1: 1 236.00000 cents 2: 1 278.00000 cents 2: 1 288.00000 cents 2: 1 337.00000 cents 2: 1 345.00000 cents 2: 1 350.00000 cents 2: 1 358.00000 cents 2: 1 436.00000 cents 3: 1 472.00000 cents 3: 1 482.00000 cents 3: 1 488.00000 cents 3: 1 509.00000 cents 3: 1 514.00000 cents 3: 1 550.00000 cents 3: 1 573.00000 cents 4: 1 623.00000 cents 4: 1 646.00000 cents 4: 1 682.00000 cents 4: 1 687.00000 cents 4: 1 708.00000 cents 4: 1 714.00000 cents 4: 1 724.00000 cents 5: 1 760.00000 cents 5: 1 838.00000 cents 5: 1 846.00000 cents 5: 1 851.00000 cents 5: 1 859.00000 cents 5: 1 908.00000 cents 5: 1 918.00000 cents 6: 1 960.00000 cents 6: 1 996.00000 cents 6: 1 1002.00000 cents 6: 1 1032.00000 cents 6: 1 1045.00000 cents 6: 1 1059.00000 cents 6: 1 1082.00000 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 : 114.0 350.0 550.0 687.0 838.0 1032.0 1196.0 114.0 : 236.0 436.0 573.0 724.0 918.0 1082.0 1196.0 350.0 : 200.0 337.0 488.0 682.0 846.0 960.0 1196.0 550.0 : 137.0 288.0 482.0 646.0 760.0 996.0 1196.0 687.0 : 151.0 345.0 509.0 623.0 859.0 1059.0 1196.0 838.0 : 194.0 358.0 472.0 708.0 908.0 1045.0 1196.0 1032.0: 164.0 278.0 514.0 714.0 851.0 1002.0 1196.0 1196.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 114.0000 .. 236.0000 cents 122.00000 cents 114.00000 cents 2: 278.0000 .. 436.0000 cents 158.00000 cents 42.00000 cents 3: 472.0000 .. 573.0000 cents 101.00000 cents 36.00000 cents 4: 623.0000 .. 724.0000 cents 101.00000 cents 50.00000 cents 5: 760.0000 .. 918.0000 cents 158.00000 cents 36.00000 cents 6: 960.0000 .. 1082.0000 cents 122.00000 cents 42.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 114.00000 cents, class 1 Average step (divided formal octave): 170.8571 cents Largest one step interval : 236.00000 cents Average / Smallest step : 1.498747 Largest / Average step : 1.381271 Largest / Smallest step : 2.070175 Median interval of one step : 164.00000 cents, amount: 1 Least squares average step : 171.18571 cents, oct.: 1198.30000 cents Scale is strictly proper Scale is a mode of a 1196-tone equal temperament with octave 1196.000 cents degrees: 114 350 550 687 838 1032 1196 Least number of segments generator : 599 of 599.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 921 of 921.000 cents and inv. generated superset size: 267 = 260 more = 3814.286% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : AGFBCED Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 36.00000 cents Scale diversity : 1.610426 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.362876 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 : 5.00000 cents Number of recognisable fifths : 3, average 703.0000 cents Number of appreciable fifths : 2, average 711.0000 cents Number of recognisable fourths : 4, average 498.2500 cents Number of appreciable fourths : 2, average 498.5000 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 122.0000 cents: 4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 26.7989 c. M:-56.8571 c. Lebeng 9: 1 2 1 1 1 2 1 P M ME I SD: 29.7510 c. M:-48.6667 c. 10: 1 2 2 1 1 2 1 P D3 S SD: 27.5711 c. M:-48.0000 c. 13: 1 3 2 1 2 2 2 P D3 SD: 21.2502 c. M: 43.0000 c. 14: 1 3 2 2 2 2 2 P T3 SD: 19.3128 c. M: 37.4286 c. 17: 2 3 3 2 2 3 2 SP D3 S SD: 15.7456 c. M:-26.7059 c. 20: 2 4 3 2 3 3 3 SP D3 SD: 13.8279 c. M: 29.2000 c. 21: 2 4 4 2 3 3 3 P T3 S SD: 10.5210 c. M:-19.5238 c. 24: 2 5 4 3 3 4 3 P SD: 9.3977 c. M:-14.5000 c. 30: 3 6 5 3 4 5 4 SP SD: 6.3473 c. M: 9.2667 c. 42: 4 8 7 5 5 7 6 SP SD: 7.1433 c. M: 12.1905 c. 43: 4 9 7 5 5 7 6 SP SD: 6.2328 c. M:-11.5814 c. 44: 4 9 7 5 6 7 6 SP SD: 4.7435 c. M: 7.4545 c. 50: 5 10 8 6 6 8 7 SP SD: 4.8686 c. M:-8.8000 c. 52: 5 10 9 6 6 9 7 SP SD: 4.5981 c. M: 10.0000 c. 54: 5 11 9 6 7 9 7 SP SD: 4.4258 c. M:-8.9630 c. 61: 6 12 10 7 8 10 8 SP SD: 3.7853 c. M:-7.1475 c. 66: 6 13 11 8 8 11 9 SP SD: 4.2043 c. M: 6.3636 c. 71: 7 14 12 8 9 11 10 SP SD: 4.0574 c. M:-5.8873 c. 72: 7 14 12 8 9 12 10 SP SD: 3.8753 c. M: 7.4444 c. 73: 7 14 13 8 9 12 10 SP SD: 3.6370 c. M:-7.0411 c. 80: 8 15 14 9 10 13 11 SP SD: 3.3898 c. M: 6.1500 c. 83: 8 16 14 10 10 14 11 SP SD: 3.4201 c. M:-5.4940 c. 85: 8 17 14 10 11 13 12 SP SD: 3.2765 c. M:-6.2353 c. 87: 8 17 15 10 11 14 12 SP SD: 2.8674 c. M: 6.3218 c. 93: 9 18 16 10 12 15 13 SP SD: 3.0095 c. M: 5.4086 c. 94: 9 19 15 11 12 15 13 SP SD: 2.7460 c. M:-6.2553 c. 96: 9 19 16 11 12 16 13 SP SD: 1.9439 c. M: 3.2917 c. 117: 11 23 20 13 15 19 16 SP SD: 1.5629 c. M: 2.4444 c. 124: 12 24 21 14 16 20 17 SP SD: 1.5524 c. M: 2.7742 c. 137: 13 27 23 16 17 22 19 SP SD: 1.2818 c. M:-2.6642 c. 144: 14 28 24 17 18 23 20 SP SD: 1.7190 c. M:-2.3611 c. 146: 14 29 24 17 18 24 20 SP SD: 1.4164 c. M: 2.4384 c. 167: 16 33 28 19 21 27 23 SP SD: 0.7643 c. M:-1.4491 c. 211: 20 42 35 24 27 34 29 SP SD: 0.8232 c. M:-1.4313 c. 218: 21 43 36 25 28 35 30 SP SD: 1.0949 c. M:-1.3945 c. 228: 22 45 38 26 29 37 31 SP SD: 1.0922 c. M:-1.4561 c. 233: 22 46 39 27 29 38 32 SP SD: 0.8552 c. M: 1.3133 c. 261: 25 51 44 30 33 42 36 SP SD: 0.8230 c. M: 1.7395 c. 263: 25 52 44 30 33 43 36 SP SD: 0.5275 c. M: 1.2548 c. 270: 26 53 45 31 34 44 37 SP SD: 0.6230 c. M:-1.1704 c. 291: 28 57 49 33 37 47 40 SP SD: 0.6416 c. M:-1.0790 c. 294: 28 58 49 34 37 48 40 SP SD: 0.6071 c. M:-1.2789 c. 315: 30 62 53 36 40 51 43 SP SD: 0.6070 c. M:-1.0984 c. 348: 33 69 58 40 44 56 48 SP SD: 0.5413 c. M: 0.9655 c. 380: 36 75 64 43 48 62 52 SP SD: 0.6585 c. M: 0.8737 c. 387: 37 76 65 44 49 63 53 SP SD: 0.5173 c. M: 0.9225 c. 400: 38 79 67 46 50 65 55 SP SD: 0.4677 c. M: 0.8000 c. 407: 39 80 68 47 51 66 56 SP SD: 0.4870 c. M:-0.6265 c. 430: 41 85 72 49 54 70 59 SP SD: 0.4428 c. M: 0.8000 c. 437: 42 86 73 50 55 71 60 SP SD: 0.4363 c. M:-0.9474 c. 444: 42 88 74 51 56 72 61 SP SD: 0.4134 c. M: 0.8649 c. 461: 44 91 77 53 58 75 63 SP SD: 0.3034 c. M:-0.5553 c. 554: 53 109 93 63 70 90 76 SP SD: 0.3547 c. M:-0.5054 c. 568: 54 112 95 65 72 92 78 SP SD: 0.3514 c. M: 0.5634 c. 578: 55 114 97 66 73 94 79 SP SD: 0.2884 c. M:-0.5329 c. 585: 56 115 98 67 74 95 80 SP SD: 0.3053 c. M:-0.4889 c. 611: 58 121 102 70 77 99 84 SP SD: 0.2923 c. M: 0.4681 c. 618: 59 122 103 71 78 100 85 SP SD: 0.2697 c. M: 0.4984 c. 628: 60 124 105 72 79 102 86 SP SD: 0.3179 c. M:-0.5096 c. 642: 61 127 107 74 81 104 88 SP SD: 0.3061 c. M: 0.4361 c. 672: 64 133 112 77 85 109 92 SP SD: 0.2747 c. M:-0.6131 c. 691: 66 136 116 79 87 112 95 SP SD: 0.3018 c. M: 0.4284 c. 715: 68 141 120 82 90 116 98 SP SD: 0.2877 c. M:-0.4909 c. 722: 69 142 121 83 91 117 99 SP SD: 0.2827 c. M: 0.4765 c. 724: 69 143 121 83 91 118 99 SP SD: 0.2741 c. M: 0.4696 c. 735: 70 145 123 84 93 119 101 SP SD: 0.1903 c. M: 0.3483 c. 789: 75 156 132 90 100 128 108 SP SD: 0.2512 c. M: 0.3232 c. 796: 76 157 133 91 101 129 109 SP SD: 0.2350 c. M:-0.4020 c. 848: 81 167 142 97 107 138 116 SP SD: 0.2221 c. M:-0.3962 c. 881: 84 174 147 101 111 143 121 SP SD: 0.2170 c. M: 0.3927 c. 902: 86 178 151 103 114 146 124 SP SD: 0.1979 c. M: 0.4169 c. 926: 88 183 155 106 117 150 127 SP SD: 0.1817 c. M: 0.3413 c. 933: 89 184 156 107 118 151 128 SP SD: 0.1487 c. M:-0.3537 c. 963: 92 190 161 110 122 156 132 SP SD: 0.2069 c. M:-0.3178 c. 978: 93 193 164 112 123 159 134 SP SD: 0.2441 c. M: 0.3108 c. 985: 94 194 165 113 124 160 135 SP SD: 0.1763 c. M: 0.3066 c. 1015: 97 200 170 116 128 165 139 SP SD: 0.1921 c. M:-0.2975 c. 1029: 98 203 172 118 130 167 141 SP SD: 0.1240 c. M: 0.2352 c. 1196: 114 236 200 137 151 194 164 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 4.0000 cents 2 x x x 3 x x 4 S SD: 7.7403 cents 3 x x 4 x 5 x 6 S SD: 23.2485 cents 4 x 5 x 6 x 7:8 S SD: 18.6234 cents 5 x 6:7 x 8:9:10 S SD: 11.0493 cents 6 x 7:8:9:10:11:12 S SD: 18.4842 cents 7:8:9:10 x 11:13:14 SD: 28.9622 cents 8:9:10:11:12:13:15:16 SD: 16.1728 cents 10:11:12:14:15:16:18:20 S SD: 10.9519 cents 13:14:16:18:19:21:24:26 SD: 6.8751 cents 14:15:17:19:21:23:25:28 SD: 6.6564 cents 16:17:20:22:24:26:29:32 SD: 5.8102 cents 18:19:22:25:27:29:33:36 SD: 5.4704 cents 26:28:32:36:39:42:47:52 SD: 4.0963 cents 27:29:33:37:40:44:49:54 SD: 2.1946 cents 43:46:53:59:64:70:78:86 SD: 2.0586 cents 45:48:55:62:67:73:82:90 SD: 1.4450 cents 59:63:72:81:88:96:107:118 SD: 1.4074 cents 72:77:88:99:107:117:131:144 SD: 1.0573 cents 107:114:131:147:159:174:194:214 SD: 1.0494 cents 115:123:141:158:171:187:209:229 SD: 0.9621 cents 117:125:143:161:174:190:212:233 SD: 0.8602 cents 129:138:158:177:192:209:234:257 SD: 0.8068 cents 133:142:163:183:198:216:241:265 SD: 0.8046 cents 134:143:164:184:199:217:243:267 SD: 0.7713 cents 146:156:179:201:217:237:265:291 SD: 0.7205 cents 148:158:181:203:220:240:269:295 SD: 0.6787 cents 160:171:196:220:238:260:290:319 SD: 0.6268 cents 161:172:197:221:239:261:292:321 SD: 0.6194 cents 174:186:213:239:259:282:316:347 SD: 0.4808 cents 193:206:236:265:287:313:350:385 SD: 0.4307 cents 206:220:252:283:306:334:374:411 SD: 0.3795 cents 222:237:272:305:330:360:403:443 SD: 0.3241 cents 236:252:289:324:351:383:428:471 SD: 0.3125 cents 249:266:305:342:370:404:452:497 SD: 0.2866 cents 281:300:344:386:418:456:510:561 SD: 0.1942 cents 411:439:503:565:611:667:746:820 SD: 0.1690 cents 487:520:596:669:724:790:884:972 SD: 0.1539 cents 575:614:704:790:855:933:1044:1147 SD: 0.1407 cents 589:629:721:809:876:956:1069:1175 SD: 0.1305 cents