Scala analysis: Singapore_Balafong
Balafong (Balafon), Singapore
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 169.000 cents 169.000000 2: 350.000 cents 350.000000 3: 543.000 cents 543.000000 4: 709.000 cents 709.000000 5: 894.000 cents 894.000000 6: 1040.000 cents 1040.000000 7: 1205.000 cents 1205.000000
SHOW/INTERVAL
0: 165.0000 cents 165.0000 1: 169.0000 cents 169.0000 2: 181.0000 cents 181.0000 3: 193.0000 cents 193.0000 4: 166.0000 cents 166.0000 5: 185.0000 cents 185.0000 6: 146.0000 cents 146.0000 7: 165.0000 cents 165.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 146.00000 cents 1: 1 165.00000 cents 1: 1 166.00000 cents 1: 1 169.00000 cents 1: 1 181.00000 cents 1: 1 185.00000 cents 1: 1 193.00000 cents 2: 1 311.00000 cents 2: 1 331.00000 cents 2: 1 334.00000 cents 2: 1 350.00000 cents 2: 1 351.00000 cents 2: 1 359.00000 cents 2: 1 374.00000 cents 3: 1 480.00000 cents 3: 1 496.00000 cents 3: 1 497.00000 cents 3: 1 515.00000 cents 3: 1 540.00000 cents 3: 1 543.00000 cents 3: 1 544.00000 cents 4: 1 661.00000 cents 4: 1 662.00000 cents 4: 1 665.00000 cents 4: 1 690.00000 cents 4: 1 708.00000 cents 4: 1 709.00000 cents 4: 1 725.00000 cents 5: 1 831.00000 cents 5: 1 846.00000 cents 5: 1 854.00000 cents 5: 1 855.00000 cents 5: 1 871.00000 cents 5: 1 874.00000 cents 5: 1 894.00000 cents 6: 1 1012.00000 cents 6: 1 1020.00000 cents 6: 1 1024.00000 cents 6: 1 1036.00000 cents 6: 1 1039.00000 cents 6: 1 1040.00000 cents 6: 1 1059.00000 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 : 169.0 350.0 543.0 709.0 894.0 1040.0 1205.0 169.0 : 181.0 374.0 540.0 725.0 871.0 1036.0 1205.0 350.0 : 193.0 359.0 544.0 690.0 855.0 1024.0 1205.0 543.0 : 166.0 351.0 497.0 662.0 831.0 1012.0 1205.0 709.0 : 185.0 331.0 496.0 665.0 846.0 1039.0 1205.0 894.0 : 146.0 311.0 480.0 661.0 854.0 1020.0 1205.0 1040.0: 165.0 334.0 515.0 708.0 874.0 1059.0 1205.0 1205.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 146.0000 .. 193.0000 cents 47.00000 cents 146.00000 cents 2: 311.0000 .. 374.0000 cents 63.00000 cents 118.00000 cents 3: 480.0000 .. 544.0000 cents 64.00000 cents 106.00000 cents 4: 661.0000 .. 725.0000 cents 64.00000 cents 117.00000 cents 5: 831.0000 .. 894.0000 cents 63.00000 cents 106.00000 cents 6: 1012.0000 .. 1059.0000 cents 47.00000 cents 118.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 146.00000 cents, class 1 Average step (divided formal octave): 172.1429 cents Largest one step interval : 193.00000 cents Average / Smallest step : 1.179061 Largest / Average step : 1.121162 Largest / Smallest step : 1.321918 Median interval of one step : 169.00000 cents, amount: 1 Least squares average step : 174.85000 cents, oct.: 1223.95000 cents Scale is strictly proper Scale is a mode of a 1205-tone equal temperament with octave 1205.000 cents degrees: 169 350 543 709 894 1040 1205 Least number of segments generator : 603 of 603.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1033 of 1033.000 cents and inv. generated superset size: 256 = 249 more = 3657.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : DEGCFAB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 106.00000 cents Scale diversity : 1.309138 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.711203 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 : 1.00000 cents Number of recognisable fifths : 3, average 702.3333 cents Number of recognisable fourths : 2, average 496.5000 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 63.0000 cents: 1 6 Limited inverse transpositions with margin 63.0000 cents: 4 5 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 18.2242 c. M: 33.2857 c. Lebeng 13: 2 2 2 2 2 1 2 SP M ME S SD: 22.1393 c. M:-32.9231 c. Karakalian 15: 2 2 3 2 2 2 2 SP M ME S SD: 15.0549 c. M: 28.6667 c. 17: 2 3 3 2 3 2 2 P D3 SD: 19.4003 c. M:-27.4706 c. 20: 3 3 3 3 3 2 3 SP M ME S SD: 10.7571 c. M: 15.7500 c. 22: 3 3 4 3 3 3 3 SP M ME S SD: 10.8328 c. M: 21.3636 c. 24: 3 4 4 3 4 3 3 SP D3 SD: 10.4527 c. M: 18.3750 c. 27: 4 4 4 4 4 3 4 SP M ME S SD: 7.6160 c. M: 13.5185 c. 31: 4 5 5 4 5 4 4 SP D3 SD: 7.1873 c. M: 13.5161 c. 34: 5 5 5 5 5 4 5 SP M ME S SD: 7.8276 c. M: 12.2059 c. 35: 5 5 6 5 5 4 5 SP T3 SD: 7.0972 c. M:-14.0000 c. 38: 5 6 6 5 6 5 5 SP D3 SD: 6.9076 c. M: 11.3684 c. 42: 6 6 7 6 6 5 6 SP T3 SD: 5.1743 c. M:-8.2619 c. 44: 6 7 7 6 7 5 6 SP SD: 5.1456 c. M:-9.7500 c. 51: 7 8 8 7 8 6 7 SP SD: 2.6083 c. M:-4.4118 c. 58: 8 9 9 8 9 7 8 SP SD: 2.2265 c. M:-3.1897 c. 93: 13 14 15 13 14 11 13 SP SD: 1.9571 c. M:-3.6344 c. 100: 14 15 16 14 15 12 14 SP SD: 1.8415 c. M: 3.7000 c. 124: 17 19 20 17 19 15 17 SP SD: 1.5155 c. M: 3.7984 c. 131: 18 20 21 18 20 16 18 SP SD: 1.5090 c. M: 3.4275 c. 144: 20 22 23 20 22 17 20 SP SD: 1.6200 c. M: 2.3611 c. 148: 21 22 24 20 23 18 20 SP SD: 1.5993 c. M:-2.5068 c. 151: 21 23 24 21 23 18 21 SP SD: 1.2894 c. M: 2.5828 c. 155: 22 23 25 21 24 19 21 SP SD: 1.2543 c. M:-2.0323 c. 175: 25 26 28 24 27 21 24 SP SD: 1.3948 c. M:-3.1429 c. 182: 26 27 29 25 28 22 25 SP SD: 1.2724 c. M:-3.1429 c. 197: 28 29 32 27 30 24 27 SP SD: 1.2025 c. M:-2.2690 c. 199: 28 30 32 27 31 24 27 SP SD: 1.3611 c. M:-2.1809 c. 202: 28 31 32 28 31 24 28 SP SD: 1.3763 c. M: 2.0297 c. 204: 29 30 33 28 31 25 28 SP SD: 1.3175 c. M:-2.2990 c. 206: 29 31 33 28 32 25 28 SP SD: 0.9444 c. M:-1.2136 c. 213: 30 32 34 29 33 26 29 SP SD: 0.8768 c. M: 1.8404 c. 241: 34 36 39 33 37 29 33 SP SD: 1.0000 c. M:-2.0000 c. 248: 35 37 40 34 38 30 34 SP SD: 0.6294 c. M:-1.1935 c. 255: 36 38 41 35 39 31 35 SP SD: 0.5973 c. M:-1.1176 c. 299: 42 45 48 41 46 36 41 SP SD: 0.5597 c. M:-1.0635 c. 306: 43 46 49 42 47 37 42 SP SD: 0.3193 c. M:-0.4739 c. 619: 87 93 99 85 95 75 85 SP SD: 0.3615 c. M: 0.4701 c. 620: 87 93 99 86 95 75 85 SP SD: 0.3368 c. M: 0.7500 c. 651: 91 98 104 90 100 79 89 SP SD: 0.3474 c. M: 0.6575 c. 671: 94 101 107 93 103 81 92 SP SD: 0.3341 c. M: 0.6602 c. 685: 96 103 110 94 105 83 94 SP SD: 0.2953 c. M:-0.5693 c. 743: 104 112 119 102 114 90 102 SP SD: 0.3166 c. M: 0.4240 c. 761: 107 114 122 105 117 92 104 SP SD: 0.3521 c. M:-0.6452 c. 768: 108 115 123 106 118 93 105 SP SD: 0.2527 c. M:-0.4531 c. 775: 109 116 124 107 119 94 106 SP SD: 0.2451 c. M:-0.4774 c. 819: 115 123 131 113 126 99 112 SP SD: 0.2560 c. M:-0.5543 c. 826: 116 124 132 114 127 100 113 SP SD: 0.1918 c. M: 0.3123 c. 892: 125 134 143 123 137 108 122 SP SD: 0.1723 c. M:-0.2937 c. 899: 126 135 144 124 138 109 123 SP SD: 0.1087 c. M: 0.1613 c. 1147: 161 172 184 158 176 139 157 SP SD: 0.1126 c. M: 0.1613 c. 1198: 168 180 192 165 184 145 164 SP SD: 0.1065 c. M:-0.1945 c. 1205: 169 181 193 166 185 146 165 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 5.0000 cents 2 x x x 3 x x 4 S SD: 4.3195 cents 3 x x 4 x 5 x 6 S SD: 15.4161 cents 4 x 5 x 6 x 7:8 S SD: 20.0921 cents 5 x 6:7 x 8:9:10 S SD: 19.7170 cents 6 x 7:8:9:10:11:12 S SD: 15.9745 cents 8:9:10:11:12:13:15:16 SD: 12.6736 cents 9:10:11:12:14:15:16:18 S SD: 12.2724 cents 10:11:12:14:15:17:18:20 SD: 8.9687 cents 16:18:20:22:24:27:29:32 SD: 7.7336 cents 17:19:21:23:26:28:31:34 SD: 7.6019 cents 18:20:22:25:27:30:33:36 SD: 4.7445 cents 22:24:27:30:33:37:40:44 SD: 3.2902 cents 30:33:37:41:45:50:55:60 SD: 3.0205 cents 39:43:48:53:59:65:71:78 SD: 2.9209 cents 40:44:49:55:60:67:73:80 SD: 1.8337 cents 49:54:60:67:74:82:89:98 SD: 1.4455 cents 67:74:82:92:101:112:122:134 SD: 1.4159 cents 79:87:97:108:119:132:144:158 SD: 1.3454 cents 89:98:109:122:134:149:162:179 SD: 1.0119 cents 107:118:131:146:161:179:195:215 SD: 0.9922 cents 108:119:132:148:163:181:197:217 SD: 0.8619 cents 117:129:143:160:176:196:213:235 SD: 0.7359 cents 130:143:159:178:196:218:237:261 SD: 0.7288 cents 138:152:169:189:208:231:252:277 SD: 0.6367 cents 146:161:179:200:220:245:266:293 SD: 0.6332 cents 164:181:201:224:247:275:299:329 SD: 0.6277 cents 166:183:203:227:250:278:303:333 SD: 0.4299 cents 204:225:250:279:307:342:372:409 SD: 0.4103 cents 215:237:263:294:324:360:392:431 SD: 0.3897 cents 223:246:273:305:336:374:407:447 SD: 0.3883 cents 255:281:312:349:384:427:465:511 SD: 0.3619 cents 263:290:322:360:396:441:480:528 SD: 0.3599 cents 272:300:333:372:410:456:496:546 SD: 0.3360 cents 290:320:355:397:437:486:529:582 SD: 0.3098 cents 312:344:382:427:470:523:569:626 SD: 0.1289 cents 527:581:645:721:794:883:961:1057 SD: 0.1265 cents 567:625:694:776:854:950:1034:1137 SD: 0.1193 cents