Scala analysis: Congo_Sanza_b
Sanza (Sanza), Congo
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 694.000 cents 694.000000 2: 997.000 cents 997.000000 3: 1200.000 cents 1200.000000 4: 1404.000 cents 1404.000000 5: 1611.000 cents 1611.000000 6: 1711.000 cents 1711.000000 7: 1898.000 cents 1898.000000
SHOW/INTERVAL
0: 187.0000 cents 187.0000 1: 694.0000 cents 694.0000 2: 303.0000 cents 303.0000 3: 203.0000 cents 203.0000 4: 204.0000 cents 204.0000 5: 207.0000 cents 207.0000 6: 100.0000 cents 100.0000 7: 187.0000 cents 187.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 100.00000 cents 1: 1 187.00000 cents 1: 1 203.00000 cents 1: 1 204.00000 cents 1: 1 207.00000 cents 1: 1 303.00000 cents 1: 1 694.00000 cents 2: 1 287.00000 cents 2: 1 307.00000 cents 2: 1 407.00000 cents 2: 1 411.00000 cents 2: 1 506.00000 cents 2: 1 881.00000 cents 2: 1 997.00000 cents 3: 1 494.00000 cents 3: 1 511.00000 cents 3: 1 614.00000 cents 3: 1 710.00000 cents 3: 1 981.00000 cents 3: 1 1184.00000 cents 3: 1 1200.00000 cents 4: 1 698.00000 cents 4: 1 714.00000 cents 4: 1 917.00000 cents 4: 1 1188.00000 cents 4: 1 1284.00000 cents 4: 1 1387.00000 cents 4: 1 1404.00000 cents 5: 1 901.00000 cents 5: 1 1017.00000 cents 5: 1 1392.00000 cents 5: 1 1487.00000 cents 5: 1 1491.00000 cents 5: 1 1591.00000 cents 5: 1 1611.00000 cents 6: 1 1204.00000 cents 6: 1 1595.00000 cents 6: 1 1691.00000 cents 6: 1 1694.00000 cents 6: 1 1695.00000 cents 6: 1 1711.00000 cents 6: 1 1798.00000 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 : 694.0 997.0 1200.0 1404.0 1611.0 1711.0 1898.0 694.0 : 303.0 506.0 710.0 917.0 1017.0 1204.0 1898.0 997.0 : 203.0 407.0 614.0 714.0 901.0 1595.0 1898.0 1200.0: 204.0 411.0 511.0 698.0 1392.0 1695.0 1898.0 1404.0: 207.0 307.0 494.0 1188.0 1491.0 1694.0 1898.0 1611.0: 100.0 287.0 981.0 1284.0 1487.0 1691.0 1898.0 1711.0: 187.0 881.0 1184.0 1387.0 1591.0 1798.0 1898.0 1898.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.0000 .. 694.0000 cents 594.00000 cents 100.00000 cents 2: 287.0000 .. 997.0000 cents 710.00000 cents -407.00000 cents 3: 494.0000 .. 1200.0000 cents 706.00000 cents -503.00000 cents 4: 698.0000 .. 1404.0000 cents 706.00000 cents -502.00000 cents 5: 901.0000 .. 1611.0000 cents 710.00000 cents -503.00000 cents 6: 1204.0000 .. 1798.0000 cents 594.00000 cents -407.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 100.00000 cents, class 1 Average step (divided formal octave): 271.1429 cents Largest one step interval : 694.00000 cents Average / Smallest step : 2.711429 Largest / Average step : 2.559536 Largest / Smallest step : 6.940000 Median interval of one step : 204.00000 cents, amount: 1 Least squares average step : 310.79286 cents, oct.: 2175.55000 cents Scale is not proper Scale is a mode of a 1898-tone equal temperament with octave 1898.000 cents degrees: 694 997 1200 1404 1611 1711 1898 Least number of segments generator : 951 of 951.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 999 of 999.000 cents and inv. generated superset size: 344 = 337 more = 4914.286% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : GFCDEAB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.00000 cents Scale diversity : 0.411221 Lumma stability : 0.105374 Lumma impropriety factor : 0.697576 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 : 4, average 704.0000 cents Number of recognisable fourths : 3, average 503.6667 cents Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 2 1 1 1 1 0 1 N T3 SD: 106.7055 c. M: 183.5714 c. 8: 3 1 1 1 1 0 1 N SD: 34.2021 c. M: 50.2500 c. 11: 4 2 1 1 1 1 1 N SD: 28.4923 c. M: 58.0909 c. 19: 7 3 2 2 2 1 2 N SD: 7.4403 c. M: 12.7895 c. 55: 20 9 6 6 6 3 5 N SD: 8.7540 c. M:-14.4545 c. 59: 22 9 6 7 6 3 6 N SD: 8.0804 c. M:-13.7288 c. 60: 22 10 6 6 7 3 6 N SD: 7.5728 c. M:-15.2667 c. 61: 22 10 7 6 7 3 6 N SD: 6.9332 c. M:-13.4754 c. 65: 24 10 7 7 7 4 6 N SD: 5.8763 c. M:-11.8000 c. 68: 25 11 7 7 8 3 7 N SD: 6.3110 c. M: 8.4118 c. 73: 27 11 8 8 8 4 7 N SD: 5.1686 c. M: 9.0000 c. 74: 27 12 8 8 8 4 7 N SD: 4.8852 c. M:-7.4595 c. 80: 29 13 9 8 9 4 8 N SD: 4.8768 c. M:-9.9750 c. 84: 31 13 9 9 9 5 8 N SD: 4.6204 c. M: 6.7381 c. 92: 34 14 10 10 10 5 9 N SD: 4.1207 c. M:-7.4348 c. 93: 34 15 10 10 10 5 9 N SD: 2.8354 c. M:-4.1935 c. 112: 41 18 12 12 12 6 11 N SD: 1.9632 c. M:-3.1964 c. 131: 48 21 14 14 14 7 13 N SD: 1.9778 c. M: 2.7710 c. 185: 68 29 20 20 20 10 18 N SD: 1.8764 c. M:-3.6432 c. 192: 70 31 20 21 21 10 19 N SD: 1.7692 c. M: 3.8646 c. 204: 75 32 22 22 22 11 20 N SD: 1.7027 c. M:-3.7941 c. 211: 77 34 22 23 23 11 21 N SD: 1.7766 c. M: 3.6303 c. 213: 78 34 23 23 23 11 21 N SD: 2.0552 c. M:-3.9061 c. 223: 82 35 24 24 24 12 22 N SD: 1.7981 c. M:-3.9193 c. 232: 85 37 25 25 25 12 23 N SD: 1.7554 c. M:-3.1379 c. 244: 89 39 26 26 27 13 24 N SD: 1.8688 c. M: 3.8361 c. 245: 90 39 26 26 27 13 24 N SD: 1.7355 c. M:-3.2245 c. 247: 90 40 26 27 27 13 24 N SD: 2.0699 c. M:-2.6842 c. 250: 91 40 27 27 27 13 25 N SD: 1.9398 c. M: 3.1280 c. 251: 92 40 27 27 27 13 25 N SD: 1.6906 c. M:-2.4861 c. 253: 93 40 27 27 28 13 25 N SD: 1.6706 c. M:-3.6838 c. 263: 96 42 28 28 29 14 26 N SD: 1.9099 c. M: 3.9544 c. 264: 97 42 28 28 29 14 26 N SD: 1.7641 c. M:-3.3712 c. 265: 97 42 29 28 29 14 26 N SD: 1.4230 c. M:-3.2604 c. 266: 97 43 28 29 29 14 26 N SD: 1.5290 c. M:-1.9474 c. 272: 99 44 29 29 30 14 27 N SD: 1.4995 c. M: 3.1838 c. 278: 102 44 30 30 30 15 27 N SD: 1.7488 c. M:-2.6619 c. 284: 104 45 31 30 31 15 28 N SD: 1.2970 c. M:-2.9577 c. 285: 104 46 30 31 31 15 28 N SD: 1.1606 c. M:-1.9474 c. 304: 111 49 32 33 33 16 30 N SD: 1.0051 c. M:-1.9474 c. 312: 114 50 33 34 34 16 31 N SD: 1.0983 c. M: 1.5833 c. 323: 118 52 34 35 35 17 32 N SD: 1.0603 c. M:-1.9474 c. 337: 123 54 36 36 37 18 33 N SD: 0.9043 c. M: 1.6202 c. 345: 126 55 37 37 38 18 34 N SD: 0.8284 c. M: 1.2377 c. 356: 130 57 38 38 39 19 35 N SD: 0.8707 c. M: 1.8258 c. 364: 133 58 39 39 40 19 36 N SD: 0.7843 c. M: 1.3571 c. 438: 160 70 47 47 48 23 43 N SD: 0.5492 c. M:-1.0000 c. 457: 167 73 49 49 50 24 45 N SD: 0.2813 c. M:-0.4311 c. 476: 174 76 51 51 52 25 47 N SD: 0.2586 c. M: 0.4370 c. 933: 341 149 100 100 102 49 92 N SD: 0.2232 c. M: 0.3344 c. 965: 353 154 103 104 105 51 95 N SD: 0.2158 c. M:-0.3233 c. 1302: 476 208 139 140 142 69 128 N SD: 0.2149 c. M:-0.4071 c. 1310: 479 209 140 141 143 69 129 N SD: 0.1628 c. M: 0.3481 c. 1329: 486 212 142 143 145 70 131 N SD: 0.1650 c. M: 0.3612 c. 1403: 513 224 150 151 153 74 138 N SD: 0.1653 c. M:-0.3115 c. 1422: 520 227 152 153 155 75 140 N SD: 0.0866 c. M:-0.1463 c. 1441: 527 230 154 155 157 76 142 N SD: 0.0892 c. M: 0.1367 c. 1879: 687 300 201 202 205 99 185 N SD: 0.0752 c. M:-0.1293 c. 1898: 694 303 203 204 207 100 187 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x 2 x x x 3 S SD: 1.9775 cents 2:3 x 4 x 5 x 6 S SD: 6.5590 cents 3 x 5:6:7 x 8:9 SD: 25.9417 cents 4:6:7:8:9:10:11:12 S SD: 7.9638 cents 5:7:9:10:11:13 x 15 SD: 21.2508 cents 6:9:11:12:14:15:16:18 SD: 12.4136 cents 8:12:14:16:18:20:21:24 S SD: 7.9536 cents 10:15:18:20:23:25:27:30 SD: 7.3216 cents 12:18:21:24:27:30:32:36 S SD: 5.8028 cents 16:24:28:32:36:41:43:48 SD: 4.9471 cents 17:25:30:34:38:43:46:51 SD: 4.9456 cents 18:27:32:36:41:46:48:54 SD: 4.2224 cents 19:28:34:38:43:48:51:57 SD: 4.0027 cents 20:30:36:40:45:51:54:60 SD: 3.6932 cents 22:33:39:44:50:56:59:66 SD: 3.0800 cents 24:36:43:48:54:61:64:72 SD: 2.9278 cents 26:39:46:52:59:66:70:78 SD: 2.8395 cents 28:42:50:56:63:71:75:84 SD: 1.7653 cents 32:48:57:64:72:81:86:96 SD: 1.3954 cents 41:61:73:82:92:104:110:123 SD: 1.3236 cents 45:67:80:90:101:114:121:135 SD: 1.1501 cents 63:94:112:126:142:160:169:189 SD: 0.9100 cents 67:100:119:134:151:170:180:201 SD: 0.7971 cents 73:109:130:146:164:185:196:219 SD: 0.7807 cents 77:115:137:154:173:195:207:230 SD: 0.7338 cents 95:142:169:190:214:241:255:284 SD: 0.5497 cents 99:148:176:198:223:251:266:296 SD: 0.5038 cents 108:161:192:216:243:274:290:323 SD: 0.4944 cents 112:167:199:224:252:284:301:335 SD: 0.4724 cents 132:197:235:264:297:335:355:395 SD: 0.4059 cents 136:203:242:272:306:345:365:407 SD: 0.3077 cents 140:209:249:280:315:355:376:419 SD: 0.1078 cents 284:424:505:568:639:720:763:850 SD: 0.1073 cents 416:621:740:832:936:1055:1118:1245 SD: 0.1010 cents 424:633:754:848:954:1075:1139:1269 SD: 0.0933 cents 444:663:790:888:999:1126:1193:1329 SD: 0.0865 cents 556:830:989:1112:1251:1410:1494:1664 SD: 0.0703 cents 584:872:1039:1168:1314:1481:1569:1748 SD: 0.0573 cents 588:878:1046:1176:1323:1491:1580:1760 SD: 0.0515 cents