Scala analysis: Congo_Sanza_a
Sanza (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: 986.000 cents 986.000000 6: 1204.000 cents 1204.000000 7: 1423.000 cents 1423.000000 8: 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: 294.0000 cents 294.0000 6: 218.0000 cents 218.0000 7: 219.0000 cents 219.0000 8: 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: 1 218.00000 cents 1: 1 219.00000 cents 1: 1 294.00000 cents 2: 1 268.00000 cents 2: 2 288.00000 cents 2: 1 290.00000 cents 2: 1 404.00000 cents 2: 1 437.00000 cents 2: 1 501.00000 cents 2: 1 512.00000 cents 3: 1 359.00000 cents 3: 1 485.00000 cents 3: 1 487.00000 cents 3: 1 495.00000 cents 3: 1 508.00000 cents 3: 1 698.00000 cents 3: 1 719.00000 cents 3: 1 731.00000 cents 4: 1 556.00000 cents 4: 1 578.00000 cents 4: 1 692.00000 cents 4: 1 705.00000 cents 4: 1 789.00000 cents 4: 1 802.00000 cents 4: 1 916.00000 cents 4: 1 938.00000 cents 5: 1 763.00000 cents 5: 1 775.00000 cents 5: 1 796.00000 cents 5: 1 986.00000 cents 5: 1 999.00000 cents 5: 1 1007.00000 cents 5: 1 1009.00000 cents 5: 1 1135.00000 cents 6: 1 982.00000 cents 6: 1 993.00000 cents 6: 1 1057.00000 cents 6: 1 1090.00000 cents 6: 1 1204.00000 cents 6: 2 1206.00000 cents 6: 1 1226.00000 cents 7: 1 1200.00000 cents 7: 1 1275.00000 cents 7: 1 1276.00000 cents 7: 1 1287.00000 cents 7: 2 1297.00000 cents 7: 1 1403.00000 cents 7: 1 1423.00000 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 7.42857 = 52/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 197.0 288.0 485.0 692.0 986.0 1204.0 1423.0 1494.0 197.0 : 91.0 288.0 495.0 789.0 1007.0 1226.0 1297.0 1494.0 288.0 : 197.0 404.0 698.0 916.0 1135.0 1206.0 1403.0 1494.0 485.0 : 207.0 501.0 719.0 938.0 1009.0 1206.0 1297.0 1494.0 692.0 : 294.0 512.0 731.0 802.0 999.0 1090.0 1287.0 1494.0 986.0 : 218.0 437.0 508.0 705.0 796.0 993.0 1200.0 1494.0 1204.0: 219.0 290.0 487.0 578.0 775.0 982.0 1276.0 1494.0 1423.0: 71.0 268.0 359.0 556.0 763.0 1057.0 1275.0 1494.0 1494.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.0000 .. 294.0000 cents 223.00000 cents 71.00000 cents 2: 268.0000 .. 512.0000 cents 244.00000 cents -26.00000 cents 3: 359.0000 .. 731.0000 cents 372.00000 cents -153.00000 cents 4: 556.0000 .. 938.0000 cents 382.00000 cents -175.00000 cents 5: 763.0000 .. 1135.0000 cents 372.00000 cents -175.00000 cents 6: 982.0000 .. 1226.0000 cents 244.00000 cents -153.00000 cents 7: 1200.0000 .. 1423.0000 cents 223.00000 cents -26.00000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 71.00000 cents, class 1 Average step (divided formal octave): 186.7500 cents Largest one step interval : 294.00000 cents Average / Smallest step : 2.630282 Largest / Average step : 1.574297 Largest / Smallest step : 4.140845 Median interval of one step : 202.00000 cents, amount: 0 Most common interval of one step : 197.00000 cents, amount: 2 Least squares average step : 191.48529 cents, oct.: 1531.88235 cents Scale is not proper Scale is a mode of a 1494-tone equal temperament with octave 1494.000 cents degrees: 197 288 485 692 986 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 : 1063 of 1063.000 cents and inv. generated superset size: 503 = 495 more = 6287.500% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABACDEFG Step pattern size order : CBCDGEFA Scale is a Constant Structure, by a margin of 4.00000 cents Scale diversity : 1.002212 Lumma stability : 0.095047 Lumma impropriety factor : 0.473896 Rothenberg efficiency : 0.267857 redundancy: 0.732143 Efficiency x scale size : 2.142857 Number of different interval sizes : 52 = 7.42857 / class Number of one step interval sizes : 7 Highest interval variety : 8 Mean interval variety : 7.42857 = 52/7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 4, average 703.5000 cents Number of appreciable fifths : 3, average 698.3333 cents Number of recognisable fourths : 6, average 498.0000 cents Number of appreciable fourths : 4, average 497.7500 cents Formal octave complements present : 1 = 12.5000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 246.0000 cents: 1 -- Rational properties --
FIT/MODE
8: 1 0 1 1 2 1 1 1 N T3 SD: 88.9152 c. M: 131.7500 c. 9: 1 1 1 1 2 1 2 0 N SD: 36.6657 c. M:-71.0000 c. 14: 2 1 1 2 3 2 2 1 N SD: 35.7002 c. M: 58.1429 c. 15: 2 1 2 2 3 2 2 1 N SD: 12.8107 c. M: 28.6000 c. 21: 3 1 3 3 4 3 3 1 N SD: 10.9408 c. M:-19.4286 c. 30: 4 2 4 4 6 4 5 1 N SD: 10.8651 c. M:-21.2000 c. 36: 5 2 5 5 7 5 5 2 N SD: 9.4340 c. M:-13.5000 c. 37: 5 2 5 5 7 6 5 2 N SD: 8.0565 c. M: 16.9189 c. 41: 5 3 5 6 8 6 6 2 N SD: 6.7969 c. M: 14.8049 c. 43: 6 2 6 6 8 7 6 2 N SD: 8.3918 c. M: 13.1628 c. 45: 6 3 6 6 9 6 7 2 N SD: 8.0321 c. M:-13.0000 c. 46: 6 3 6 6 9 7 7 2 N SD: 6.1698 c. M: 11.6522 c. 47: 6 3 6 7 9 7 7 2 N SD: 5.4147 c. M: 8.1915 c. 56: 7 4 7 8 11 8 8 3 N SD: 5.6502 c. M: 10.2500 c. 61: 8 4 8 8 12 9 9 3 N SD: 4.4659 c. M: 6.3279 c. 62: 8 4 8 9 12 9 9 3 N SD: 3.1852 c. M:-6.8065 c. 67: 9 4 9 9 13 10 10 3 N SD: 3.3394 c. M:-5.5672 c. 82: 11 5 11 11 16 12 12 4 N SD: 3.2116 c. M:-6.9268 c. 89: 12 5 12 12 18 13 13 4 N SD: 3.5293 c. M:-4.6292 c. 98: 13 6 13 13 20 14 14 5 N SD: 3.5274 c. M: 5.9796 c. 99: 13 6 13 14 19 15 14 5 N SD: 2.9132 c. M: 5.0909 c. 104: 14 6 14 14 21 15 15 5 N SD: 2.9641 c. M:-5.2115 c. 108: 14 7 14 15 21 16 16 5 N SD: 2.1352 c. M: 3.8333 c. 123: 16 8 16 17 24 18 18 6 N SD: 1.9580 c. M:-3.5122 c. 129: 17 8 17 18 25 19 19 6 N SD: 1.4874 c. M:-2.8837 c. 130: 17 8 17 18 26 19 19 6 N SD: 1.9843 c. M:-2.6923 c. 144: 19 9 19 20 28 21 21 7 N SD: 1.8011 c. M:-3.1250 c. 145: 19 9 19 20 29 21 21 7 N SD: 1.5177 c. M:-3.1310 c. 191: 25 12 25 26 38 28 28 9 N SD: 1.5176 c. M: 3.6649 c. 192: 25 12 25 27 38 28 28 9 N SD: 1.7028 c. M: 2.5625 c. 197: 26 12 26 27 39 29 29 9 N SD: 1.3499 c. M:-2.7462 c. 212: 28 13 28 29 42 31 31 10 N SD: 0.8822 c. M: 1.3774 c. 274: 36 17 36 38 54 40 40 13 N SD: 0.6755 c. M:-1.0146 c. 341: 45 21 45 47 67 50 50 16 N SD: 0.7685 c. M:-1.3167 c. 400: 53 24 53 55 79 58 59 19 N SD: 0.7246 c. M: 1.3300 c. 438: 58 26 58 61 86 64 64 21 N SD: 0.7016 c. M: 1.4795 c. 441: 58 27 58 61 87 64 65 21 N SD: 0.6357 c. M: 1.3469 c. 447: 59 27 59 62 88 65 66 21 N SD: 0.4717 c. M:-0.8121 c. 462: 61 28 61 64 91 67 68 22 N SD: 0.4030 c. M: 1.0390 c. 509: 67 31 67 71 100 74 75 24 N SD: 0.4890 c. M:-0.6994 c. 524: 69 32 69 73 103 76 77 25 N SD: 0.4802 c. M:-0.8282 c. 561: 74 34 74 78 110 82 82 27 N SD: 0.4660 c. M: 0.9037 c. 570: 75 35 75 79 112 83 84 27 N SD: 0.4266 c. M: 0.9368 c. 591: 78 36 78 82 116 86 87 28 N SD: 0.3844 c. M: 0.7107 c. 650: 86 39 86 90 128 95 95 31 N SD: 0.3829 c. M: 0.6923 c. 659: 87 40 87 91 130 96 97 31 N SD: 0.3474 c. M:-0.7208 c. 674: 89 41 89 93 133 98 99 32 N SD: 0.3105 c. M:-0.4392 c. 691: 91 42 91 96 136 101 101 33 N SD: 0.3474 c. M: 0.6932 c. 715: 94 44 94 99 141 104 105 34 N SD: 0.3391 c. M: 0.5860 c. 721: 95 44 95 100 142 105 106 34 N SD: 0.2409 c. M:-0.5479 c. 758: 100 46 100 105 149 111 111 36 N SD: 0.2386 c. M: 0.5119 c. 773: 102 47 102 107 152 113 113 37 N SD: 0.2247 c. M: 0.5110 c. 820: 108 50 108 114 161 120 120 39 N SD: 0.2552 c. M: 0.3610 c. 903: 119 55 119 125 178 132 132 43 N SD: 0.2516 c. M:-0.4651 c. 1032: 136 63 136 143 203 151 151 49 N SD: 0.1804 c. M:-0.4651 c. 1047: 138 64 138 145 206 153 153 50 N SD: 0.2014 c. M: 0.3467 c. 1153: 152 70 152 160 227 168 169 55 N SD: 0.2273 c. M: 0.3894 c. 1183: 156 72 156 164 233 172 174 56 N SD: 0.2250 c. M: 0.4649 c. 1220: 161 74 161 169 240 178 179 58 N SD: 0.1517 c. M: 0.2279 c. 1282: 169 78 169 178 252 187 188 61 N SD: 0.1459 c. M:-0.2278 c. 1365: 180 83 180 189 269 199 200 65 N SD: 0.1406 c. M: 0.2725 c. 1432: 189 87 189 198 282 209 210 68 N SD: 0.1379 c. M: 0.2947 c. 1473: 194 90 194 204 290 215 216 70 N SD: 0.1560 c. M: 0.2770 c. 1479: 195 90 195 205 291 216 217 70 N SD: 0.1299 c. M:-0.2901 c. 1494: 197 91 197 207 294 218 219 71 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 x x S SD: 4.0000 cents 2 x x x 3 x 4 x 5 S SD: 30.9784 cents 3 x x 4 x 5:6 x 7 S SD: 26.5202 cents 4 x 5 x 6:7:8:9 x S SD: 20.4353 cents 5 x 6:7 x 9:10:11:12 SD: 20.4931 cents 6 x 7:8:9:11:12 x 14 SD: 12.3407 cents 7:8 x 9:10:12:14:16:17 S SD: 16.8211 cents 8:9 x 11:12:14:16:18:19 SD: 10.3339 cents 10:11:12:13:15:18:20:23:24 SD: 8.5484 cents 13 x 15:17:19:23:26:30:31 SD: 9.0482 cents 15:17:18:20:22:27:30:34:36 SD: 7.5854 cents 16:18:19:21:24:28:32:36:38 SD: 4.1968 cents 22:25:26:29:33:39:44:50:52 SD: 3.5475 cents 32:36:38:42:48:57:64:73:76 SD: 3.2408 cents 33:37:39:44:49:58:66:75:78 SD: 2.3936 cents 34:38:40:45:51:60:68:77:81 SD: 2.2564 cents 40:45:47:53:60:71:80:91:95 SD: 2.2082 cents 43:48:51:57:64:76:86:98:102 SD: 1.5133 cents 59:66:70:78:88:104:118:134:140 SD: 1.3942 cents 65:73:77:86:97:115:130:148:154 SD: 1.0210 cents 83:93:98:110:124:147:166:189:197 SD: 0.9098 cents 99:111:117:131:148:175:198:225:235 SD: 0.8404 cents 116:130:137:154:173:205:233:264:275 SD: 0.8254 cents 124:139:146:164:185:219:249:282:294 SD: 0.7951 cents 132:148:156:175:197:233:265:300:313 SD: 0.6743 cents 133:149:157:176:198:235:267:303:315 SD: 0.6210 cents 142:159:168:188:212:251:285:323:337 SD: 0.6170 cents 149:167:176:197:222:263:299:339:353 SD: 0.4796 cents 167:187:197:221:249:295:335:380:396 SD: 0.3658 cents 189:212:223:250:282:334:379:430:448 SD: 0.3416 cents 216:242:255:286:322:382:433:491:512 SD: 0.2797 cents 232:260:274:307:346:410:465:528:550 SD: 0.1127 cents 448:502:529:593:668:792:898:1019:1062 SD: 0.1084 cents