Scala analysis: Congo_Zither
Zither (Zither), Congo
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 206.000 cents 206.000000 2: 345.000 cents 345.000000 3: 528.000 cents 528.000000 4: 720.000 cents 720.000000 5: 814.000 cents 814.000000 6: 1024.000 cents 1024.000000 7: 1166.000 cents 1166.000000
SHOW/INTERVAL
0: 142.0000 cents 142.0000 1: 206.0000 cents 206.0000 2: 139.0000 cents 139.0000 3: 183.0000 cents 183.0000 4: 192.0000 cents 192.0000 5: 94.0000 cents 94.0000 6: 210.0000 cents 210.0000 7: 142.0000 cents 142.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 94.00000 cents 1: 1 139.00000 cents 1: 1 142.00000 cents 1: 1 183.00000 cents 1: 1 192.00000 cents 1: 1 206.00000 cents 1: 1 210.00000 cents 2: 1 286.00000 cents 2: 1 304.00000 cents 2: 1 322.00000 cents 2: 1 345.00000 cents 2: 1 348.00000 cents 2: 1 352.00000 cents 2: 1 375.00000 cents 3: 1 446.00000 cents 3: 1 469.00000 cents 3: 1 487.00000 cents 3: 1 496.00000 cents 3: 1 514.00000 cents 3: 1 528.00000 cents 3: 1 558.00000 cents 4: 1 608.00000 cents 4: 1 638.00000 cents 4: 1 652.00000 cents 4: 1 670.00000 cents 4: 1 679.00000 cents 4: 1 697.00000 cents 4: 1 720.00000 cents 5: 1 791.00000 cents 5: 1 814.00000 cents 5: 1 818.00000 cents 5: 1 821.00000 cents 5: 1 844.00000 cents 5: 1 862.00000 cents 5: 1 880.00000 cents 6: 1 956.00000 cents 6: 1 960.00000 cents 6: 1 974.00000 cents 6: 1 983.00000 cents 6: 1 1024.00000 cents 6: 1 1027.00000 cents 6: 1 1072.00000 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 : 206.0 345.0 528.0 720.0 814.0 1024.0 1166.0 206.0 : 139.0 322.0 514.0 608.0 818.0 960.0 1166.0 345.0 : 183.0 375.0 469.0 679.0 821.0 1027.0 1166.0 528.0 : 192.0 286.0 496.0 638.0 844.0 983.0 1166.0 720.0 : 94.0 304.0 446.0 652.0 791.0 974.0 1166.0 814.0 : 210.0 352.0 558.0 697.0 880.0 1072.0 1166.0 1024.0: 142.0 348.0 487.0 670.0 862.0 956.0 1166.0 1166.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 94.0000 .. 210.0000 cents 116.00000 cents 94.00000 cents 2: 286.0000 .. 375.0000 cents 89.00000 cents 76.00000 cents 3: 446.0000 .. 558.0000 cents 112.00000 cents 71.00000 cents 4: 608.0000 .. 720.0000 cents 112.00000 cents 50.00000 cents 5: 791.0000 .. 880.0000 cents 89.00000 cents 71.00000 cents 6: 956.0000 .. 1072.0000 cents 116.00000 cents 76.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 94.00000 cents, class 1 Average step (divided formal octave): 166.5714 cents Largest one step interval : 210.00000 cents Average / Smallest step : 1.772036 Largest / Average step : 1.260720 Largest / Smallest step : 2.234043 Median interval of one step : 183.00000 cents, amount: 1 Least squares average step : 169.54286 cents, oct.: 1186.80000 cents Scale is strictly proper Scale is a mode of a 1166-tone equal temperament with octave 1166.000 cents degrees: 206 345 528 720 814 1024 1166 Least number of segments generator : 585 of 585.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 755 of 755.000 cents and inv. generated superset size: 264 = 257 more = 3771.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : FBDEAGC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 50.00000 cents Scale diversity : 1.668643 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.456261 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 : 3.00000 cents Number of recognisable fifths : 2, average 708.5000 cents Number of appreciable fifths : 1, average 697.0000 cents Number of recognisable fourths : 3, average 499.0000 cents Number of appreciable fourths : 2, average 491.5000 cents Best fifths 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% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 30.0947 c. M: 53.7143 c. Lebeng 10: 2 1 2 1 1 2 1 P M ME S SD: 26.3331 c. M:-55.0000 c. 11: 2 1 2 2 1 2 1 P M ME S SD: 23.0062 c. M:-36.0000 c. 13: 2 2 2 2 1 2 2 SP M ME S SD: 18.7104 c. M: 37.3846 c. Glacial-7, Lobonian 16: 3 2 2 3 1 3 2 P D3 SD: 12.5246 c. M:-19.3750 c. 23: 4 3 3 4 2 4 3 SP D3 SD: 10.4598 c. M: 21.0435 c. 24: 4 3 4 4 2 4 3 SP T3 SD: 7.8748 c. M:-11.9167 c. 33: 6 4 5 5 3 6 4 SP SD: 6.4303 c. M: 13.3333 c. 40: 7 5 6 7 3 7 5 SP SD: 4.3621 c. M:-8.7500 c. 47: 8 6 7 8 4 8 6 SP SD: 5.0788 c. M: 7.5319 c. 50: 9 6 8 8 4 9 6 SP SD: 4.2372 c. M:-8.3600 c. 57: 10 7 9 9 5 10 7 SP SD: 2.9346 c. M:-4.2456 c. 73: 13 9 11 12 6 13 9 SP SD: 2.6566 c. M:-6.3973 c. 84: 15 10 13 14 7 15 10 SP SD: 2.6046 c. M:-4.9762 c. 97: 17 12 15 16 8 17 12 SP SD: 2.2247 c. M:-3.5979 c. 108: 19 13 17 18 8 20 13 SP SD: 2.2129 c. M: 4.2778 c. 115: 20 14 18 19 9 21 14 SP SD: 1.6588 c. M: 3.2174 c. 126: 22 15 20 21 10 23 15 SP SD: 1.9438 c. M:-3.1905 c. 139: 25 16 22 23 11 25 17 SP SD: 1.5860 c. M:-3.7122 c. 142: 25 17 22 24 11 26 17 SP SD: 1.7059 c. M:-2.5915 c. 146: 26 17 23 24 12 26 18 SP SD: 1.2537 c. M: 1.7534 c. 159: 28 19 25 26 13 29 19 SP SD: 1.1616 c. M:-2.6667 c. 165: 29 20 26 27 13 30 20 SP SD: 1.1714 c. M:-2.0000 c. 172: 30 21 27 28 14 31 21 SP SD: 1.2210 c. M: 2.6279 c. 186: 33 22 29 31 15 33 23 SP SD: 1.1535 c. M: 2.1828 c. 196: 35 23 31 32 16 35 24 SP SD: 1.1139 c. M:-2.2143 c. 199: 35 24 31 33 16 36 24 SP SD: 0.7888 c. M:-1.3769 c. 254: 45 30 40 42 20 46 31 SP SD: 0.7187 c. M: 1.4724 c. 256: 45 31 40 42 21 46 31 SP SD: 0.8429 c. M:-1.2891 c. 261: 46 31 41 43 21 47 32 SP SD: 0.7841 c. M: 1.0077 c. 278: 49 33 44 46 22 50 34 SP SD: 0.7616 c. M:-1.4101 c. 298: 53 35 47 49 24 54 36 SP SD: 0.7298 c. M:-1.3758 c. 305: 54 36 48 50 25 55 37 SP SD: 0.6858 c. M: 1.2852 c. 311: 55 37 49 51 25 56 38 SP SD: 0.3541 c. M:-0.6367 c. 470: 83 56 74 77 38 85 57 SP SD: 0.3677 c. M:-0.5915 c. 510: 90 61 80 84 41 92 62 SP SD: 0.1795 c. M:-0.2510 c. 656: 116 78 103 108 53 118 80 SP SD: 0.1395 c. M: 0.1951 c. 855: 151 102 134 141 69 154 104 SP SD: 0.1288 c. M: 0.2316 c. 1166: 206 139 183 192 94 210 142 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 34.0000 cents 2 x x x 3 x x 4 S SD: 19.2459 cents 3 x x 4 x 5 x 6 S SD: 27.8959 cents 4 x 5 x 6 x 7:8 S SD: 19.7367 cents 5 x 6:7 x 8:9:10 S SD: 14.1854 cents 6:7 x 8:9:10:11:12 S SD: 18.0107 cents 7:8:9:10 x 11:13:14 SD: 24.2562 cents 8:9:10:11:12:13:14:16 S SD: 12.3589 cents 9:10:11:12:14 x 16:18 S SD: 12.2614 cents 10:11:12:14:15:16:18:20 S SD: 11.9837 cents 13:15:16:18:20:21:23:25 SD: 11.6025 cents 14:16:17:19:21:22:25:27 SD: 8.1791 cents 15:17:18:20:23:24:27:29 SD: 7.7254 cents 17:19:21:23:26:27:31:33 SD: 5.7524 cents 22:25:27:30:33:35:40:43 SD: 4.4936 cents 23:26:28:31:35:37:42:45 SD: 3.7074 cents 31:35:38:42:47:50:56:61 SD: 2.4622 cents 45:51:55:61:68:72:81:88 SD: 2.0934 cents 50:56:61:68:76:80:90:98 SD: 1.9234 cents 56:63:68:76:85:90:101:110 SD: 1.8123 cents 62:70:76:84:94:99:112:122 SD: 1.6088 cents 72:81:88:98:109:115:130:141 SD: 1.1577 cents 78:88:95:106:118:125:141:153 SD: 0.9964 cents 87:98:106:118:132:139:157:171 SD: 0.8954 cents 95:107:116:129:144:152:172:186 SD: 0.7150 cents 118:133:144:160:179:189:213:231 SD: 0.6096 cents 176:198:215:239:267:282:318:345 SD: 0.5915 cents 180:203:220:244:273:288:325:353 SD: 0.5488 cents 182:205:222:247:276:291:329:357 SD: 0.3415 cents 213:240:260:289:323:341:385:418 SD: 0.2742 cents 285:321:348:387:432:456:515:559 SD: 0.2696 cents 300:338:366:407:455:480:542:588 SD: 0.2478 cents 331:373:404:449:502:530:598:649 SD: 0.2406 cents 390:439:476:529:591:624:705:765 SD: 0.2315 cents 403:454:492:547:611:645:728:790 SD: 0.1995 cents 413:465:504:560:626:661:746:810 SD: 0.1737 cents 435:490:531:590:659:696:786:853 SD: 0.1535 cents 508:572:620:689:770:813:918:996 SD: 0.1307 cents