Scala analysis: Congo_Sanza_01
Sanza 1 (Sanza), Congo
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 197.000 cents 197.000000 2: 288.000 cents 288.000000 3: 485.000 cents 485.000000 4: 692.000 cents 692.000000 5: 1204.000 cents 1204.000000 6: 1423.000 cents 1423.000000 7: 1494.000 cents 1494.000000
SHOW/INTERVAL
0: 71.0000 cents 71.0000 1: 197.0000 cents 197.0000 2: 91.0000 cents 91.0000 3: 197.0000 cents 197.0000 4: 207.0000 cents 207.0000 5: 512.0000 cents 512.0000 6: 219.0000 cents 219.0000 7: 71.0000 cents 71.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 71.00000 cents 1: 1 91.00000 cents 1: 2 197.00000 cents 1: 1 207.00000 cents 1: 1 219.00000 cents 1: 1 512.00000 cents 2: 1 268.00000 cents 2: 2 288.00000 cents 2: 1 290.00000 cents 2: 1 404.00000 cents 2: 1 719.00000 cents 2: 1 731.00000 cents 3: 1 359.00000 cents 3: 1 485.00000 cents 3: 1 487.00000 cents 3: 1 495.00000 cents 3: 1 802.00000 cents 3: 1 916.00000 cents 3: 1 938.00000 cents 4: 1 556.00000 cents 4: 1 578.00000 cents 4: 1 692.00000 cents 4: 1 999.00000 cents 4: 1 1007.00000 cents 4: 1 1009.00000 cents 4: 1 1135.00000 cents 5: 1 763.00000 cents 5: 1 775.00000 cents 5: 1 1090.00000 cents 5: 1 1204.00000 cents 5: 2 1206.00000 cents 5: 1 1226.00000 cents 6: 1 982.00000 cents 6: 1 1275.00000 cents 6: 1 1287.00000 cents 6: 2 1297.00000 cents 6: 1 1403.00000 cents 6: 1 1423.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.33333 = 19/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 197.0 288.0 485.0 692.0 1204.0 1423.0 1494.0 197.0 : 91.0 288.0 495.0 1007.0 1226.0 1297.0 1494.0 288.0 : 197.0 404.0 916.0 1135.0 1206.0 1403.0 1494.0 485.0 : 207.0 719.0 938.0 1009.0 1206.0 1297.0 1494.0 692.0 : 512.0 731.0 802.0 999.0 1090.0 1287.0 1494.0 1204.0: 219.0 290.0 487.0 578.0 775.0 982.0 1494.0 1423.0: 71.0 268.0 359.0 556.0 763.0 1275.0 1494.0 1494.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.0000 .. 512.0000 cents 441.00000 cents 71.00000 cents 2: 268.0000 .. 731.0000 cents 463.00000 cents -244.00000 cents 3: 359.0000 .. 938.0000 cents 579.00000 cents -372.00000 cents 4: 556.0000 .. 1135.0000 cents 579.00000 cents -382.00000 cents 5: 763.0000 .. 1226.0000 cents 463.00000 cents -372.00000 cents 6: 982.0000 .. 1423.0000 cents 441.00000 cents -244.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 71.00000 cents, class 1 Average step (divided formal octave): 213.4286 cents Largest one step interval : 512.00000 cents Average / Smallest step : 3.006036 Largest / Average step : 2.398929 Largest / Smallest step : 7.211268 Median interval of one step : 197.00000 cents, amount: 2 Most common interval of one step : 197.00000 cents, amount: 2 Least squares average step : 214.37143 cents, oct.: 1500.60000 cents Scale is not proper Scale is a mode of a 1494-tone equal temperament with octave 1494.000 cents degrees: 197 288 485 692 1204 1423 1494 Least number of segments generator : 749 of 749.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 763 of 763.000 cents and inv. generated superset size: 263 = 256 more = 3757.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABACDEF Step pattern size order : CBCDFEA Scale is a Constant Structure, by a margin of 17.00000 cents Scale diversity : 1.055148 Lumma stability : 0.095047 Lumma impropriety factor : 0.641232 Rothenberg efficiency : 0.312925 redundancy: 0.687075 Efficiency x scale size : 2.190476 Number of different interval sizes : 38 = 6.33333 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.33333 = 19/3 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 2, average 705.5000 cents Number of appreciable fifths : 1, average 692.0000 cents Number of recognisable fourths : 4, average 494.7500 cents Number of appreciable fourths : 2, average 491.0000 cents Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 0 1 1 3 1 0 N SD: 57.0588 c. M:-76.5714 c. 9: 1 1 1 1 3 2 0 N SD: 39.0146 c. M:-71.0000 c. 11: 1 1 1 2 4 1 1 N SD: 45.8718 c. M: 77.5455 c. 13: 1 1 2 2 4 2 1 N SD: 47.3497 c. M: 82.0769 c. 14: 2 0 2 2 5 2 1 N SD: 44.8328 c. M: 74.5714 c. 15: 2 1 2 2 5 2 1 N SD: 13.1634 c. M: 28.6000 c. 21: 3 1 3 3 7 3 1 N SD: 11.0687 c. M:-19.4286 c. 22: 3 1 3 3 8 3 1 N SD: 11.4599 c. M:-18.3636 c. 30: 4 2 4 4 10 5 1 N SD: 10.9831 c. M:-21.2000 c. 36: 5 2 5 5 12 5 2 N SD: 9.3503 c. M:-13.5000 c. 37: 5 2 5 5 13 5 2 N SD: 5.7695 c. M: 9.7568 c. 46: 6 3 6 6 16 7 2 N SD: 4.9100 c. M: 9.9565 c. 47: 6 3 6 7 16 7 2 N SD: 5.7842 c. M: 8.1915 c. 52: 7 3 7 7 18 8 2 N SD: 5.6787 c. M:-13.5385 c. 58: 8 3 8 8 20 8 3 N SD: 5.5960 c. M:-9.0690 c. 61: 8 4 8 8 21 9 3 N SD: 4.1319 c. M: 6.2295 c. 62: 8 4 8 9 21 9 3 N SD: 3.3229 c. M:-6.8065 c. 67: 9 4 9 9 23 10 3 N SD: 3.0598 c. M:-5.5672 c. 84: 11 5 11 12 29 12 4 N SD: 3.1325 c. M:-5.4286 c. 89: 12 5 12 12 31 13 4 N SD: 3.3859 c. M:-4.6292 c. 93: 12 6 12 13 32 14 4 N SD: 3.3006 c. M:-6.7419 c. 98: 13 6 13 13 34 14 5 N SD: 3.2809 c. M: 5.9796 c. 99: 13 6 13 14 34 14 5 N SD: 2.4488 c. M: 4.4545 c. 104: 14 6 14 14 36 15 5 N SD: 2.4821 c. M:-4.1154 c. 108: 14 7 14 15 37 16 5 N SD: 1.7638 c. M: 3.3333 c. 129: 17 8 17 18 44 19 6 N SD: 1.4735 c. M:-2.8837 c. 130: 17 8 17 18 45 19 6 N SD: 1.9284 c. M:-2.6923 c. 144: 19 9 19 20 49 21 7 N SD: 1.9203 c. M:-3.1250 c. 145: 19 9 19 20 50 21 7 N SD: 1.1100 c. M: 1.6690 c. 166: 22 10 22 23 57 24 8 N SD: 1.0690 c. M:-2.0000 c. 212: 28 13 28 29 73 31 10 N SD: 0.9151 c. M: 1.3774 c. 274: 36 17 36 38 94 40 13 N SD: 0.6344 c. M:-1.0146 c. 395: 52 24 52 55 135 58 19 N SD: 0.7023 c. M: 1.2354 c. 401: 53 24 53 56 137 59 19 N SD: 0.6839 c. M: 1.1222 c. 419: 55 26 55 58 144 61 20 N SD: 0.6584 c. M:-1.1838 c. 441: 58 27 58 61 151 65 21 N SD: 0.6768 c. M: 1.3469 c. 447: 59 27 59 62 153 66 21 N SD: 0.5042 c. M:-0.8121 c. 462: 61 28 61 64 158 68 22 N SD: 0.4158 c. M: 1.0390 c. 509: 67 31 67 71 174 75 24 N SD: 0.5163 c. M:-0.6994 c. 524: 69 32 69 73 179 77 25 N SD: 0.4779 c. M:-0.8282 c. 546: 72 33 72 76 187 80 26 N SD: 0.3857 c. M: 0.6923 c. 592: 78 36 78 82 203 87 28 N SD: 0.3297 c. M: 0.5203 c. 607: 80 37 80 84 208 89 29 N SD: 0.2669 c. M: 0.4316 c. 613: 81 37 81 85 210 90 29 N SD: 0.2591 c. M:-0.4127 c. 721: 95 44 95 100 247 106 34 N SD: 0.2253 c. M:-0.5479 c. 736: 97 45 97 102 252 108 35 N SD: 0.1713 c. M: 0.2745 c. 758: 100 46 100 105 260 111 36 N SD: 0.1663 c. M:-0.2665 c. 887: 117 54 117 123 304 130 42 N SD: 0.1826 c. M:-0.2954 c. 1220: 161 74 161 169 418 179 58 N SD: 0.1425 c. M: 0.2279 c. 1282: 169 78 169 178 439 188 61 N SD: 0.1513 c. M:-0.2278 c. 1328: 175 81 175 184 455 195 63 N SD: 0.1336 c. M: 0.2500 c. 1349: 178 82 178 187 462 198 64 N SD: 0.1193 c. M:-0.1794 c. 1365: 180 83 180 189 468 200 65 N SD: 0.1393 c. M: 0.2725 c. 1386: 183 84 183 192 475 203 66 N SD: 0.1374 c. M:-0.2597 c. 1479: 195 90 195 205 507 217 70 N SD: 0.1335 c. M:-0.2901 c. 1494: 197 91 197 207 512 219 71 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 x x S SD: 4.0000 cents 2 x x x 3:4 x 5 S SD: 30.9784 cents 3 x x 4:5:6 x 7 S SD: 48.6852 cents 4 x 5 x 6:8:9 x S SD: 25.1807 cents 5 x 6:7 x 10:11:12 SD: 23.7660 cents 6 x 7:8:9:12 x 14 S SD: 7.6621 cents 7:8 x 9:10:14:16:17 SD: 17.5351 cents 8:9 x 11:12:16:18:19 SD: 11.7114 cents 10:11:12:13:15:20:23:24 SD: 8.6644 cents 13 x 15:17:19:26:30:31 SD: 10.5522 cents 15:17:18:20:22:30:34:36 SD: 7.4012 cents 16:18:19:21:24:32:36:38 SD: 4.1214 cents 22:25:26:29:33:44:50:52 SD: 3.9866 cents 27:30:32:36:40:54:61:64 SD: 3.8168 cents 32:36:38:42:48:64:73:76 SD: 3.1649 cents 33:37:39:44:49:66:75:78 SD: 2.3590 cents 40:45:47:53:60:80:91:95 SD: 2.2927 cents 43:48:51:57:64:86:98:102 SD: 1.7295 cents 49:55:58:65:73:98:111:116 SD: 1.5628 cents 59:66:70:78:88:118:134:140 SD: 1.4487 cents 65:73:77:86:97:130:148:154 SD: 1.1399 cents 83:93:98:110:124:166:189:197 SD: 0.9069 cents 124:139:146:164:185:249:282:294 SD: 0.8898 cents 126:141:149:167:188:253:287:299 SD: 0.8488 cents 132:148:156:175:197:265:300:313 SD: 0.7004 cents 148:166:175:196:221:297:337:351 SD: 0.6487 cents 149:167:176:197:222:299:339:353 SD: 0.4388 cents 167:187:197:221:249:335:380:396 SD: 0.3949 cents 183:205:216:242:273:367:416:434 SD: 0.3535 cents 216:242:255:286:322:433:491:512 SD: 0.2823 cents 232:260:274:307:346:465:528:550 SD: 0.1255 cents 448:502:529:593:668:898:1019:1062 SD: 0.1098 cents