Scala analysis: Equatorial_Guinea_Balafons_03
Balafons 3 (Balafon), Equatorial Guinea
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 195.000 cents 195.000000 2: 289.000 cents 289.000000 3: 513.000 cents 513.000000 4: 686.000 cents 686.000000 5: 796.000 cents 796.000000 6: 1108.000 cents 1108.000000 7: 1209.000 cents 1209.000000
SHOW/INTERVAL
0: 101.0000 cents 101.0000 1: 195.0000 cents 195.0000 2: 94.0000 cents 94.0000 3: 224.0000 cents 224.0000 4: 173.0000 cents 173.0000 5: 110.0000 cents 110.0000 6: 312.0000 cents 312.0000 7: 101.0000 cents 101.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 94.00000 cents 1: 1 101.00000 cents 1: 1 110.00000 cents 1: 1 173.00000 cents 1: 1 195.00000 cents 1: 1 224.00000 cents 1: 1 312.00000 cents 2: 1 283.00000 cents 2: 1 289.00000 cents 2: 1 296.00000 cents 2: 1 318.00000 cents 2: 1 397.00000 cents 2: 1 413.00000 cents 2: 1 422.00000 cents 3: 1 390.00000 cents 3: 1 491.00000 cents 3: 1 507.00000 cents 3: 1 513.00000 cents 3: 1 523.00000 cents 3: 1 595.00000 cents 3: 1 608.00000 cents 4: 1 601.00000 cents 4: 1 614.00000 cents 4: 1 686.00000 cents 4: 1 696.00000 cents 4: 1 702.00000 cents 4: 1 718.00000 cents 4: 1 819.00000 cents 5: 1 787.00000 cents 5: 1 796.00000 cents 5: 1 812.00000 cents 5: 1 891.00000 cents 5: 1 913.00000 cents 5: 1 920.00000 cents 5: 1 926.00000 cents 6: 1 897.00000 cents 6: 1 985.00000 cents 6: 1 1014.00000 cents 6: 1 1036.00000 cents 6: 1 1099.00000 cents 6: 1 1108.00000 cents 6: 1 1115.00000 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 : 195.0 289.0 513.0 686.0 796.0 1108.0 1209.0 195.0 : 94.0 318.0 491.0 601.0 913.0 1014.0 1209.0 289.0 : 224.0 397.0 507.0 819.0 920.0 1115.0 1209.0 513.0 : 173.0 283.0 595.0 696.0 891.0 985.0 1209.0 686.0 : 110.0 422.0 523.0 718.0 812.0 1036.0 1209.0 796.0 : 312.0 413.0 608.0 702.0 926.0 1099.0 1209.0 1108.0: 101.0 296.0 390.0 614.0 787.0 897.0 1209.0 1209.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 94.0000 .. 312.0000 cents 218.00000 cents 94.00000 cents 2: 283.0000 .. 422.0000 cents 139.00000 cents -29.00000 cents 3: 390.0000 .. 608.0000 cents 218.00000 cents -32.00000 cents 4: 601.0000 .. 819.0000 cents 218.00000 cents -7.00000 cents 5: 787.0000 .. 926.0000 cents 139.00000 cents -32.00000 cents 6: 897.0000 .. 1115.0000 cents 218.00000 cents -29.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 94.00000 cents, class 1 Average step (divided formal octave): 172.7143 cents Largest one step interval : 312.00000 cents Average / Smallest step : 1.837386 Largest / Average step : 1.806452 Largest / Smallest step : 3.319149 Median interval of one step : 173.00000 cents, amount: 1 Least squares average step : 172.47857 cents, oct.: 1207.35000 cents Scale is not proper Scale is a mode of a 1209-tone equal temperament with octave 1209.000 cents degrees: 195 289 513 686 796 1108 1209 Least number of segments generator : 605 of 605.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 695 of 695.000 cents and inv. generated superset size: 353 = 346 more = 5042.857% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : EAFDCGB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.00000 cents Scale diversity : 1.561968 Lumma stability : 0.155500 Lumma impropriety factor : 0.106700 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 : 6.00000 cents Number of recognisable fifths : 4, average 700.5000 cents Number of appreciable fifths : 2, average 699.0000 cents Number of recognisable fourths : 3, average 503.6667 cents Number of appreciable fourths : 2, average 499.0000 cents Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 43.8173 c. M: 71.7143 c. Lebeng 8: 1 1 1 1 1 2 1 P M ME S SD: 48.4630 c. M: 81.5000 c. 9: 1 1 2 1 1 2 1 P M ME S SD: 29.5262 c. M: 60.6667 c. 11: 2 1 2 1 1 3 1 N T3 SD: 27.0020 c. M:-40.7273 c. 12: 2 1 2 2 1 3 1 P D3 SD: 10.5153 c. M:-19.2500 c. Harmonic Minor, Mischung 4, Pilu That, Mela Kiravani, Raga Kiranavali, Kirvani (Kirwani), Kalyana Vasantha, Deshi(3), Maqam Bayat-e-Esfahan, Sultani Yakah, Zhalibny Minor, Armoniko minore: Greece 26: 4 2 5 4 2 7 2 N SD: 7.6509 c. M:-11.5000 c. 35: 6 2 7 5 3 9 3 N SD: 7.2672 c. M: 12.6571 c. 37: 6 3 7 5 3 10 3 N SD: 6.2211 c. M: 11.7838 c. 38: 6 3 7 6 3 10 3 N SD: 6.1554 c. M:-13.9474 c. 43: 7 3 8 6 4 11 4 N SD: 7.9819 c. M: 11.4651 c. 44: 7 4 8 6 4 11 4 N SD: 7.0286 c. M:-13.2500 c. 47: 8 3 9 7 4 12 4 N SD: 5.7749 c. M:-10.7872 c. 49: 8 4 9 7 4 13 4 N SD: 4.6721 c. M:-7.0816 c. 50: 8 4 9 7 5 13 4 N SD: 4.3653 c. M: 8.9600 c. 62: 10 5 11 9 6 16 5 N SD: 3.4847 c. M: 6.0000 c. 70: 11 6 13 10 6 18 6 N SD: 3.8855 c. M:-5.1429 c. 74: 12 6 13 11 7 19 6 N SD: 3.7634 c. M: 6.5270 c. 76: 12 6 14 11 7 20 6 N SD: 3.2632 c. M:-5.5526 c. 81: 13 6 15 12 7 21 7 N SD: 3.7294 c. M: 5.5185 c. 83: 13 7 15 12 8 21 7 N SD: 3.3087 c. M: 5.6386 c. 85: 14 6 16 12 8 22 7 N SD: 2.7124 c. M: 4.5294 c. 97: 16 7 18 14 9 25 8 N SD: 2.1929 c. M:-4.4227 c. 99: 16 8 18 14 9 26 8 N SD: 2.3053 c. M:-4.0909 c. 106: 17 8 20 15 10 27 9 N SD: 1.9783 c. M: 3.8585 c. 118: 19 9 22 17 11 30 10 N SD: 1.5808 c. M:-3.1695 c. 129: 21 10 24 18 12 33 11 N SD: 1.6850 c. M:-2.4651 c. 141: 23 11 26 20 13 36 12 N SD: 1.6511 c. M:-2.5319 c. 143: 23 11 27 20 13 37 12 N SD: 1.3808 c. M:-2.7273 c. 155: 25 12 29 22 14 40 13 N SD: 0.7445 c. M:-1.8000 c. 167: 27 13 31 24 15 43 14 N SD: 0.8359 c. M:-1.7545 c. 205: 33 16 38 29 19 53 17 N SD: 0.7817 c. M: 1.8829 c. 217: 35 17 40 31 20 56 18 N SD: 0.5637 c. M: 0.7143 c. 360: 58 28 67 51 33 93 30 N SD: 0.4839 c. M: 0.9000 c. 372: 60 29 69 53 34 96 31 N SD: 0.2673 c. M:-0.5000 c. 589: 95 46 109 84 54 152 49 N SD: 0.3238 c. M: 0.4211 c. 620: 100 48 115 89 56 160 52 N SD: 0.3076 c. M: 0.4000 c. 670: 108 52 124 96 61 173 56 N SD: 0.2714 c. M: 0.5284 c. 682: 110 53 126 98 62 176 57 N SD: 0.2600 c. M: 0.6818 c. 811: 131 63 150 116 74 209 68 N SD: 0.2282 c. M: 0.3711 c. 825: 133 64 153 118 75 213 69 N SD: 0.1768 c. M: 0.3055 c. 837: 135 65 155 120 76 216 70 N SD: 0.1188 c. M: 0.2222 c. 992: 160 77 184 142 90 256 83 N SD: 0.1233 c. M: 0.1563 c. 1054: 170 82 195 151 96 272 88 N SD: 0.1095 c. M: 0.2647 c. 1197: 193 93 222 171 109 309 100 N SD: 0.1054 c. M: 0.1930 c. 1209: 195 94 224 173 110 312 101 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 9.0000 cents 2 x x x 3 x x 4 S SD: 9.1592 cents 3 x x 4 x 5 x 6 S SD: 30.0221 cents 4 x 5 x 6 x x 8 S SD: 33.0076 cents 5 x 6:7 x 8:9:10 S SD: 23.7557 cents 6 x 7:8:9:10:11:12 S SD: 18.4801 cents 7:8 x 9:10:11:13:14 SD: 19.4753 cents 8:9 x 11:12:13:15:16 SD: 10.8720 cents 10:11:12:13:15:16:19:20 SD: 10.8081 cents 12:13:14:16:18:19:23:24 SD: 9.6561 cents 13 x 15:17:19:21:25:26 SD: 13.6814 cents 14:16:17:19:21:22:27:28 SD: 10.2391 cents 15:17:18:20:22:24:28:30 SD: 7.9249 cents 16:18:19:22:24:25:30:32 SD: 7.6815 cents 17:19:20:23:25:27:32:34 SD: 3.9890 cents 27:30:32:36:40:43:51:54 SD: 3.6757 cents 33:37:39:44:49:52:63:66 SD: 3.2721 cents 41:46:48:55:61:65:78:82 SD: 2.9056 cents 43:48:51:58:64:68:82:86 SD: 2.3565 cents 49:55:58:66:73:78:93:99 SD: 2.0735 cents 50:56:59:67:74:79:95:101 SD: 1.9954 cents 60:67:71:81:89:95:114:121 SD: 1.5335 cents 67:75:79:90:100:106:127:135 SD: 1.3646 cents 76:85:90:102:113:120:144:153 SD: 1.1464 cents 84:94:99:113:125:133:159:169 SD: 0.8865 cents 99:111:117:133:147:157:188:199 SD: 0.7328 cents 125:140:148:168:186:198:237:251 SD: 0.6882 cents 127:142:150:171:189:201:241:255 SD: 0.6405 cents 142:159:168:191:211:225:269:285 SD: 0.6076 cents 166:186:196:223:247:263:315:334 SD: 0.5883 cents 175:196:207:235:260:277:332:352 SD: 0.5301 cents 177:198:209:238:263:280:336:356 SD: 0.4526 cents 183:205:216:246:272:290:347:368 SD: 0.4122 cents 209:234:247:281:311:331:396:420 SD: 0.4085 cents 226:253:267:304:336:358:429:454 SD: 0.3253 cents 269:301:318:362:400:426:510:541 SD: 0.2570 cents 302:338:357:406:449:478:573:607 SD: 0.2530 cents 319:357:377:429:474:505:605:641 SD: 0.1776 cents 368:412:435:495:547:583:698:740 SD: 0.1574 cents 502:562:593:675:746:795:952:1009 SD: 0.1356 cents 545:610:644:733:810:863:1034:1096 SD: 0.1289 cents 562:629:664:756:835:890:1066:1130 SD: 0.1159 cents